0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.020202,0.040404,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.050505,0.040404,0.06060599999999999,0.06060599999999999,0.06060599999999999,0.050505,0.050505,0.050505,0.050505,0.050505,0.040404,0.050505,0.050505,0.050505,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.050505,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.050505,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.050505,0.050505,0.050505,0.050505,0.050505,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.050505,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.030302999999999997,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.040404,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.020202,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.020202,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.020202,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.010101,0.010101,0.020202,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.020202,0.030302999999999997,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.020202,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.020202,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.06060599999999999,0.050505,0.050505,0.050505,0.050505,0.050505,0.040404,0.040404,0.050505,0.040404,0.040404,0.050505,0.050505,0.050505,0.040404,0.040404,0.040404,0.050505,0.06060599999999999,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.06060599999999999,0.06060599999999999,0.06060599999999999,0.070707,0.06060599999999999,0.070707,0.06060599999999999,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.040404,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.020202,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.050505,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.020202,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.020202,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.050505,0.040404,0.030302999999999997,0.050505,0.050505,0.06060599999999999,0.050505,0.050505,0.050505,0.050505,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.050505,0.050505,0.050505,0.050505,0.050505,0.050505,0.040404,0.06060599999999999,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.040404,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.050505,0.050505,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.040404,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.040404,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.040404,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.020202,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.020202,0.0,0.0,0.0,0.020202,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.020202,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.050505,0.050505,0.06060599999999999,0.050505,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.050505,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.06060599999999999,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.040404,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.010101,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.020202,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.020202,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.020202,0.0,0.010101,0.010101,0.020202,0.030302999999999997,0.010101,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.010101,0.010101,0.020202,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.020202,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.0,0.020202,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.050505,0.050505,0.06060599999999999,0.050505,0.050505,0.050505,0.050505,0.050505,0.050505,0.050505,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.050505,0.050505,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.050505,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.040404,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.020202,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.020202,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.020202,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.020202,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.050505,0.040404,0.040404,0.06060599999999999,0.06060599999999999,0.070707,0.06060599999999999,0.06060599999999999,0.06060599999999999,0.050505,0.06060599999999999,0.050505,0.050505,0.050505,0.050505,0.06060599999999999,0.050505,0.050505,0.050505,0.050505,0.050505,0.050505,0.050505,0.050505,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.06060599999999999,0.050505,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.040404,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.06060599999999999,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.020202,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.020202,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.020202,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.020202,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.010101,0.020202,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.040404,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.050505,0.030302999999999997,0.030302999999999997,0.050505,0.06060599999999999,0.06060599999999999,0.050505,0.050505,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.06060599999999999,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.010101,0.040404,0.040404,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.050505,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.040404,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.030302999999999997,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.020202,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.020202,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.020202,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.050505,0.050505,0.06060599999999999,0.050505,0.050505,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.06060599999999999,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.06060599999999999,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.050505,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.020202,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.020202,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.020202,0.020202,0.020202,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.050505,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.050505,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.050505,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.050505,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.020202,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.050505,0.050505,0.06060599999999999,0.050505,0.050505,0.050505,0.050505,0.050505,0.050505,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.050505,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.050505,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.020202,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.020202,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.020202,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.020202,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.020202,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.050505,0.050505,0.06060599999999999,0.050505,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.050505,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.040404,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.020202,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.020202,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.020202,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.020202,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.010101,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.020202,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.020202,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.020202,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.050505,0.030302999999999997,0.030302999999999997,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.050505,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.050505,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.020202,0.0,0.010101,0.0,0.0,0.0,0.0,0.020202,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.020202,0.0,0.0,0.010101,0.010101,0.020202,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.050505,0.050505,0.06060599999999999,0.050505,0.050505,0.040404,0.040404,0.050505,0.050505,0.050505,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.040404,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.050505,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.020202,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.020202,0.020202,0.020202,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.050505,0.040404,0.040404,0.06060599999999999,0.06060599999999999,0.06060599999999999,0.06060599999999999,0.050505,0.050505,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.050505,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.040404,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.040404,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.050505,0.050505,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.050505,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.040404,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.020202,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.050505,0.06060599999999999,0.06060599999999999,0.050505,0.050505,0.050505,0.050505,0.050505,0.050505,0.040404,0.040404,0.050505,0.050505,0.050505,0.050505,0.050505,0.040404,0.050505,0.040404,0.040404,0.06060599999999999,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.050505,0.050505,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.050505,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.030302999999999997,0.040404,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.050505,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.040404,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.020202,0.020202,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.020202,0.0,0.0,0.010101,0.0,0.020202,0.030302999999999997,0.020202,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.020202,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.050505,0.050505,0.06060599999999999,0.050505,0.050505,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.06060599999999999,0.070707,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.050505,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.040404,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.040404,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.020202,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.40404,1.0,1.0,1.0,1.0,1.0,1.0,0.070707,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.040404,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.030302999999999997,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.030302999999999997,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.050505,0.050505,0.050505,0.050505,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.040404,0.030302999999999997,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.030302999999999997,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.040404,0.010101,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.020202,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.020202,0.020202,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.050505,0.050505,0.050505,0.050505,0.050505,0.050505,0.040404,0.050505,0.040404,0.06060599999999999,0.040404,0.040404,0.424242,1.0,1.0,1.0,1.0,0.070707,0.040404,0.06060599999999999,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.040404,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.050505,0.040404,0.040404,0.050505,0.040404,0.050505,0.040404,0.040404,0.050505,0.040404,0.040404,0.050505,0.040404,0.050505,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.010101,0.010101,0.010101,0.020202,0.040404,0.040404,0.030302999999999997,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.030302999999999997,0.040404,0.040404,0.040404,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.050505,0.11111099999999999,0.141414,0.161616,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.06060599999999999,0.050505,0.040404,0.050505,0.040404,0.050505,0.040404,0.040404,0.050505,0.050505,0.06060599999999999,0.050505,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.06060599999999999,0.040404,0.050505,0.040404,0.050505,0.050505,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.06060599999999999,0.06060599999999999,0.070707,0.070707,0.06060599999999999,0.06060599999999999,0.06060599999999999,0.06060599999999999,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.040404,0.020202,0.010101,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.030302999999999997,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.050505,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.050505,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.757576,1.0,1.0,1.0,0.333333,0.040404,0.040404,0.040404,0.22222199999999998,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.06060599999999999,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.050505,0.050505,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.030302999999999997,0.040404,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.050505,0.070707,0.06060599999999999,0.070707,0.06060599999999999,0.070707,0.06060599999999999,0.070707,0.050505,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.050505,0.06060599999999999,0.070707,0.06060599999999999,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.030302999999999997,0.040404,0.040404,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.040404,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.050505,0.050505,0.06060599999999999,0.050505,0.050505,0.050505,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.050505,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.050505,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.050505,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.030302999999999997,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.040404,0.050505,0.040404,0.050505,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.030302999999999997,0.010101,0.020202,0.010101,0.020202,0.040404,0.040404,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.040404,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.050505,0.050505,0.06060599999999999,0.050505,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.020202,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.040404,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.020202,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.050505,0.050505,0.070707,0.050505,0.050505,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.06060599999999999,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.06060599999999999,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.020202,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.040404,0.050505,0.040404,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.050505,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.030302999999999997,0.050505,0.040404,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.040404,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.010101,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.010101,0.020202,0.010101,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.020202,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.010101,0.010101,0.020202,0.010101,0.030302999999999997,0.070707,0.080808,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.0,0.0,0.020202,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.020202,0.0,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.0,0.0,0.0,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.0,0.0,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.050505,0.06060599999999999,0.070707,0.050505,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.020202,0.010101,0.0,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.707071,1.0,1.0,1.0,1.0,1.0,0.383838,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.040404,0.030302999999999997,0.030302999999999997,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.040404,0.020202,0.06060599999999999,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.050505,0.070707,0.131313,0.151515,0.161616,0.131313,0.161616,0.040404,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.040404,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.040404,0.030302999999999997,0.040404,0.050505,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.040404,0.040404,0.080808,0.10101,0.10101,0.090909,0.151515,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.010101,0.020202,0.010101,0.010101,0.030302999999999997,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.0,0.0,0.0,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.020202,0.010101,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.0,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.0,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.050505,0.040404,0.040404,0.050505,0.020202,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.050505,0.050505,0.040404,0.040404,0.050505,0.050505,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.070707,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.050505,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.050505,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.040404,0.030302999999999997,0.020202,0.030302999999999997,0.020202,0.040404,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.020202,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.030302999999999997,0.040404,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.020202,0.020202,0.030302999999999997,0.020202,0.020202,0.020202,0.020202,0.030302999999999997,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.030302999999999997,0.020202,0.010101,0.020202,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.030302999999999997,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.030302999999999997,0.050505,0.040404,0.030302999999999997,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.020202,0.010101,0.010101,0.020202,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.020202,0.020202,0.020202,0.010101,0.010101,0.020202,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.020202,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101,0.010101