0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.25
2.25
1.25
0.125
0.125
0
0
0
0.125
0
0.125
0.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
1
1.375
1.125
0.625
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
1.5
0.375
0
0
1
3
0.625
0.875
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.625
0.875
0.5
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.75
4.375
5.375
0.375
0
0
0.375
0.125
0
0.5
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.125
0.25
0
0
0
0
0.5
0.25
0
0
0
0
0
0
0
0
0
0
0
0.125
0.5
0
0
0
0
0
0
2
1
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
0.25
0.625
0.5
0
0
0.125
1.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.875
1.75
1.125
0.25
0
0.75
2.125
4.125
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
0
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5
1.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0.875
0
0
0
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5
2.25
1.75
0
0
0.625
0.625
0.125
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.75
2.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
1.25
2.625
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.625
1.5
1.75
1
0.625
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.25
2.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
2
0
0.125
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
1.375
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
0.25
0.75
1.875
1.125
1.25
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
1.125
1.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
2.75
1.75
1.125
0
0
0
0
0
0
0
0.125
0.125
0
0
1.25
0.375
0
0
0
0
0
0
0.125
0.75
0.625
0
0
0
0
0
0.25
0.875
1.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2.375
2
2.125
0.25
1.5
0.5
0.5
0
0
0
0
0
0.25
0.125
0
2.75
0.5
0
0
0
0
0
0
0.25
0.375
0.25
0
0
0
0
0
0.375
1.625
1.875
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0.625
0
0.375
0.375
0.375
0
0
0.125
0
0
0
0
0
0
0
0
0.375
1.25
0.5
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0.125
1.375
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.125
1.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0.875
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
1.875
2.25
1.5
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.875
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.625
1.5
0
0
0
0
0
0
0
0
0
0
0.25
0
0
0
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.75
2.75
0.75
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5
1.125
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
1.375
0.625
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.125
0.625
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5
0.25
0.25
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0.5
0.75
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0
0
0
0.5
1.625
0.875
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.25
0
0
0
0.5
1.25
0.625
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.375
0.125
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.5
0.5
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0.375
0.5
0.75
0.25
0
0
0.25
0.375
0.375
0.375
0
0
0
0
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0.125
0.125
0.25
0.25
0.125
0
0
0
0
0
0
0.25
0.75
0.5
0.5
0.125
0
0
0.5
1
0.875
0.375
0
0
0
0.125
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0.375
0.75
0.5
0.375
0.125
0.25
0.125
0.25
0.875
1
0.375
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.625
0.875
0.5
0.25
0.25
0.125
0.125
0.5
0.75
0.75
0.5
0.375
0.25
0.125
0.125
0.25
0.25
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.625
0.75
0.75
0.25
0.25
0
0.25
0.5
0.75
1.125
0.625
0.25
0.25
0.25
0.125
0.125
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0
0
0
0
0
0.125
0.375
0.75
0.375
0.25
0.125
0.125
0.25
0.25
1
1.25
0.5
0.25
0.375
0.375
0.25
0.375
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
0.5
0.5
0.25
0
0
0
0
0
0
0.125
0.5
0.125
0.125
0.375
0.375
0.375
0.375
1.625
1.25
0.375
0.125
0.375
0.375
0.5
0.875
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5
1
1
0.875
0.25
0
0
0
0
0
0.125
0.25
0
0.25
0.75
0.75
0.625
0.75
2
1.125
0.125
0
0.25
0.5
0.75
0.875
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.625
1.25
1.375
1.25
0.625
0
0
0
0
0
0.125
0
0
0
0.375
0.75
0.875
1
1.875
1
0
0.125
0.25
0.5
0.75
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5
1.25
1.375
1.25
0.75
0.125
0
0
0
0
0
0
0
0
0.375
0.5
0.75
1.125
1.5
0.875
0.25
0.25
0.25
0.375
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
1.125
1.375
1.25
0.875
0.125
0
0
0
0
0
0
0
0.25
0.625
0.625
1
1.5
1.25
0.625
0.5
0.375
0.125
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5
1.25
1.5
1.25
0.875
0.125
0
0
0
0
0
0
0.25
0.5
0.625
0.75
1.5
1.625
1.25
0.75
0.625
0.25
0.125
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.625
1.375
1.375
1.375
0.875
0.125
0
0
0
0
0
0.125
0.25
0.375
0.5
1
2.125
1.875
1.75
1.25
0.5
0.125
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.75
1.375
1.625
1.5
0.75
0.125
0
0
0
0
0
0.375
0.25
0.25
0.5
1.5
2.375
2.25
1.625
1
0.5
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
1.125
1.875
1.875
1.625
0.875
0.125
0
0
0
0
0.125
0.375
0.375
0.375
0.5
1.125
1.875
2.25
1.625
0.75
0.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
1.5
2.375
2.25
1.875
0.75
0
0
0
0
0
0
0.375
0.5
0.625
0.75
1.125
1.625
2
1
0.125
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.625
2
2.625
2.5
1.875
0.625
0
0
0
0
0
0
0.25
0.625
0.75
1.125
1.125
1.5
1
0
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
1
2.25
2.625
2.5
1.75
0.375
0
0
0
0
0
0.125
0.625
1
0.875
1
0.875
0.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.875
1.75
2.25
2.375
1.125
0.25
0
0
0.125
0.25
0.25
0.5
0.875
0.75
0.875
0.875
0.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.75
1.5
2.125
2
0.875
0.125
0.125
0
0.125
0.375
0.5
0.5
0.5
0.625
0.75
0.625
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.75
1.125
1.75
1.625
0.625
0.125
0.125
0
0.125
0.5
0.375
0.25
0.25
0.625
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0
0
0
0
0.25
0.75
0.75
0.75
1.125
0.75
0.125
0.125
0.125
0
0
0.25
0.25
0.125
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0.125
0.25
0.25
0.125
0.875
1.25
1
0.875
0.875
0.625
0.125
0.125
0.125
0
0
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.5
0.5
0.5
0.25
0
0
0
0
0
0
0
0.25
0.5
1
1.625
1.625
1.375
1.375
1.375
0.375
0.125
0.25
0.25
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.625
0.875
1
1.125
1
0.5
0.25
0
0
0
0
0
0
0
0.625
2
2.5
2
1.875
1.875
1.25
0.125
0.125
0.625
0.5
1
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.5
0.75
1
1.375
1.625
1.5
1.25
1.125
0.875
0.375
0
0
0
0
0
0.375
1.75
2.875
2.625
2.25
2.375
1.875
0.5
0
0.625
1
1.5
0.625
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.5
0.75
1.125
1.5
1.75
2
2.375
2.5
2.375
2.125
1.625
0.625
0.125
0
0.125
0.375
1.875
3.25
3.25
2.75
2.625
2.375
1.25
0.125
0.5
1.5
1.25
1.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.625
1.125
1.5
1.75
2.25
3.25
3.875
3.875
3.5
3.25
2.5
1.375
0.375
0
0.125
2
3.75
4
3.375
3.125
2.75
1.625
0.375
0.5
1.125
2
0.75
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.5
1.125
1.625
2
2.375
3
3.875
4.625
4.75
4.5
4
2.875
1.5
0.5
0.125
1.875
4.5
5
4.125
3.5
3.125
2
0.5
0.5
0.875
1.875
1.75
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0.125
0.25
0.875
1.625
2
2.375
2.75
3.25
3.875
4.25
4.375
4.25
3.625
2.375
1.25
0.5
2.125
5.25
6
5.25
4.375
3.75
2.5
1
0.625
0.75
1.625
2.25
1.5
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.375
1.375
2
2.5
3
3.125
3.75
4
3.625
3.25
3.125
2.625
1.625
1
2.375
5.625
6.75
6.125
5.375
4.375
3.25
1.375
0.75
1
1.375
2
1.75
1.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.875
1.625
2.375
3.375
3.625
4.125
4.5
3.625
2.625
2.125
2.125
1.75
1.25
2.875
5.75
7.125
6.75
6.125
5.125
3.625
2.125
1.125
1.625
1.375
2
2
2.375
1.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0.125
0.375
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.5
1.375
2.375
3.25
4.25
4.875
4.875
3.875
2.625
1.875
1.375
1.25
1.5
3.625
5.875
7
7.125
6.5
5.5
3.875
2.125
2
2.125
2.125
2.25
2.375
2.875
2.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0.125
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.125
0.125
0.375
0.75
0.75
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0.125
0.375
1.25
2.75
4.125
5.125
4.625
4.625
4
2.875
2
1.25
0.75
1.75
4.5
6.125
6.625
7
6.875
6
4.125
2
1.875
2.5
3.125
3.125
3.25
3.375
3.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0.125
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.5
0.375
0.25
0.5
1
1.125
0.875
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0.125
0.5
1.625
3.125
4.375
5.25
4.75
3.75
3.375
2.75
2.25
1.375
0.875
2.125
5.125
6.125
6.375
6.75
7
6.5
4.5
1.75
1.5
2.75
3.25
3.75
4.125
3.75
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.5
0.625
0.5
0.875
1.25
1.125
0.75
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.75
2
3.625
4.625
4.25
4.25
3.25
2.875
2.375
2
1.625
1.5
3.125
5.375
6.125
6.25
6.625
7.25
7.5
4.5
1.5
1.125
3.125
4.25
3.75
4
4
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.375
0.75
0.75
1
1.375
1.375
1.25
0.75
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.375
1
2.5
4.125
5.25
5.75
4
3.25
1.25
1.375
1.5
1.5
2.375
4.5
5.75
5.875
6.125
6.75
7.625
7.875
5.125
1
1.125
3.5
6.5
5.375
3.75
3.75
3.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0.125
0.25
0.25
0.75
0.75
0.875
1.375
1.5
1.5
1.25
0.75
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.5
1.25
3
5
6.625
6.875
6.875
4.375
0.875
0.5
1.125
1.875
3.375
5.5
6.375
5.625
5.75
6.875
8
7.875
5.25
0.75
1.125
3.375
7.25
8.625
4.875
3.375
3.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0.375
0.375
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0.125
0.25
0
0
0.125
0.25
0.5
0.75
0.5
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0.25
0
0.125
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.5
0.75
0.875
0.875
1.5
1.875
1.75
1.25
0.625
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.625
1.5
3
5.75
8.25
7.75
7.375
5
1.75
1.625
2.25
3.125
4.375
5.875
6.875
6.125
5.25
6.75
8.125
7.25
5.125
1.375
0.75
3.125
6.625
10.375
8.5
4.125
2.75
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.25
0.25
0.375
0.375
0.125
0
0
0
0
0
0
0
0
0
0.375
0.375
0.25
0.125
0.25
1.125
2.125
1.25
1
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.875
0.5
0.5
0.625
0.75
1.125
1.75
2.125
1.625
1.125
0.5
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
0.875
1.5
2.875
6.5
9.875
10
8.75
9
4.25
3.25
4
4.5
4.75
6.125
7.125
6.75
5.375
6
7.75
6.5
4.875
2.625
0.75
2.875
6
10.125
10.25
6.125
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.25
0.25
0.25
0.125
0.125
0
0
0
0
0
0
0
0.125
0.25
0.375
0.375
0.375
0.875
3.25
3.375
3.375
1.625
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.25
0.125
0.125
0.125
0.125
0.125
0.375
0.5
0.625
0.625
0.625
0.875
1.5
2
2.125
1.625
1
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
0.875
1.25
2.375
6.5
11.25
12.625
11.125
14.5
10.375
5
4.875
5.625
5.75
6.375
7.75
7.375
6
5.625
6.875
6.375
5.5
3.875
1.625
2.625
5.125
8.5
10.875
8.75
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.25
0.25
0.25
0.125
0.125
0
0
0
0
0
0
0
0.125
0.125
0.125
0.5
1
4
5
6
3.625
0.5
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.5
0.75
0.5
0.625
0.75
1
1.625
2.125
2.125
1.625
0.875
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5
0.875
1.125
2
6
11.625
14.75
14.625
17.375
15.75
9.625
6.875
7.125
7.375
7.5
8.25
8.5
7
5.375
5.75
6.5
6.625
5
2.625
2.75
4.5
7
10.625
11.25
6.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.25
0.375
0.375
0.25
0.25
0.125
0
0
0
0
0
0
0
0.125
0.125
0.375
1
3.625
4.375
6.25
6.125
2.5
0.125
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.375
1
0.625
0.5
0.625
0.625
1.25
1.875
2.125
2
1.5
0.875
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.25
0
0
0
0
0
0
0
0
0.375
0.625
1.125
1.875
4.875
9.875
15.25
16.75
18.125
17.875
12.875
10.625
9.75
9.5
9.375
10.25
10
7.75
4.625
5
6.5
7.25
5.75
3.5
3
4.125
5.75
9
12
9.625
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.25
0.25
0.25
0.375
0.375
0.375
0.375
0.25
0.125
0.125
0
0
0
0
0
0
0.125
0.125
0.125
0.625
2.375
4.25
7.625
8.75
7.25
1.75
0.125
0
0.5
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0.5
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.375
0.5
0.75
0.625
0.5
0.5
1
1.5
1.875
2
1.875
1.5
0.875
0.375
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0.375
0.125
0
0
0
0
0
0
0.125
0.125
0.375
1
1.625
3.875
7.625
13.625
16.5
17.625
18.375
15.625
13.875
12.625
11.75
11.625
11.5
11.125
7.25
3.875
4.625
6.5
7.375
6.5
4.5
3.75
4.375
5
7.25
9.875
9.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.25
0.25
0.25
0.375
0.375
0.25
0.25
0.25
0.25
0.125
0.125
0
0
0
0
0
0
0
0.125
0.125
0.125
1.125
3
6.625
10
8.75
2.375
0.5
0.25
1.375
2
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.375
0.125
0
0.5
0.625
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.25
0.25
0.375
0.5
0.5
0.5
0.625
1
1.125
1.375
1.625
1.625
1.25
0.75
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0.25
0
0
0
0.125
0.125
0.25
0.5
0.375
0
0
0
0
0.125
0.125
0
0.25
1
1.625
2.875
5.25
10.5
14.375
15.5
16.25
17.25
15.875
14.75
14.125
14.625
13.875
11.875
9.375
6.5
5.125
6.125
7
6.375
5
4.5
4.875
4.625
5.375
6.75
7.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.25
0.25
0.25
0.375
0.375
0.375
0.375
0.25
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0.125
0.5
0.75
1.625
5
8.875
9.125
4.875
1
0.5
1.125
2.375
1.375
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0.25
0.375
0.375
1.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.25
0.375
0.25
0.375
0.375
0.375
0.5
0.625
0.75
1
1.25
1.25
1
0.625
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.125
0.125
0.125
0.125
0.25
0.125
0.125
0.125
0
0
0.125
0
0.125
0.125
0.125
0.25
0.875
1.5
2.25
3.875
7
11.25
12.625
13
15
16.875
16.375
15.5
16.375
17.25
16.125
13.5
10.375
6.875
5.75
6.625
6.5
4.875
4.625
5.25
4.625
3.75
4.375
4.75
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.25
0.25
0.25
0.25
0.375
0.375
0.375
0.375
0.375
0.25
0.125
0
0
0
0
0
0
0
0.125
0.125
1.125
1.75
2
3.75
8
9.875
6.875
3.875
1.25
0.125
0.125
0.5
0.375
0
0
0
0
0
0
0
0
0
0.125
0.375
0.75
0.25
0.125
0.125
0.25
0.125
0.125
0
0
0
0.125
0.25
0.75
1.25
0.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.375
0.625
0.875
0.75
0.75
0.5
0.375
0.375
0.25
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.375
0.5
0.375
0
0
0.125
0.5
0
0.125
0.125
0.125
0.375
0.875
1.125
1.875
2.875
4.625
8.125
10
10.25
10.125
12.25
15.25
16.125
17
18
19.25
17.25
12.375
7
5.75
6.625
6.5
5.75
5
5.375
4.75
3.25
2.875
2.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.25
0.25
0.25
0.375
0.375
0.375
0.5
0.5
0.5
0.375
0.25
0
0
0
0
0
0
0
0.25
0.375
0.5
1.75
2.5
4.375
7.625
10.25
9
8.125
3.875
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0.25
1.875
0.75
1.125
1.625
1.625
1.125
1
0.75
0.125
0
0
0.625
1
1.125
0.625
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0.125
0.125
0.125
0
0.125
0.125
0.125
0.125
0.125
0.25
0.125
0.125
0.25
0.5
0.625
0.625
0.625
0.625
0.5
0.375
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.5
0.5
0.25
0.5
0.25
0.625
0.125
0
0.25
0.75
0.125
0.125
0.125
0.125
0.5
0.75
0.875
1.5
2.375
3.375
5.625
7.875
8.25
8.125
8
9.5
12.625
14.5
15.875
18
18.125
13.125
6.875
5.25
5.75
5.875
5.25
5.375
6.375
5.625
3.625
1.75
1.5
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.25
0.25
0.125
0.25
0.375
0.5
0.5
0.625
0.625
0.625
0.5
0.25
0.125
0
0
0
0
0
0
0.25
0.75
0.875
0.875
1.5
2.75
6.875
11.5
12.625
13
5.375
0.125
0
0.125
0
0
0
0
0
0
0
0
0
0.125
0.625
0.25
0.375
2.25
3.875
4.125
3.125
3.125
0.875
0.25
0.25
0.25
1.125
1.25
1
0.375
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0.125
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.375
0.625
0.625
0.625
0.75
0.5
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.125
0.5
0.25
0.25
0.125
0
0.375
0.5
0.125
0.125
0.25
0.125
0.375
0.375
0.625
1.125
1.75
2.25
3.375
5.375
6.375
6.25
6.25
6.625
7.625
10.25
13.375
15.75
16.125
12.125
7.125
4.875
4.625
4.375
4.125
4.625
5.875
5.375
3.625
2.125
0.625
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.25
0.125
0.25
0.25
0.375
0.5
0.625
0.75
0.875
0.75
0.625
0.625
0.25
0
0
0
0
0
0
0.25
1
1.25
1.25
0.75
1.125
3.375
10
16.25
15.875
6
0.625
0
0.25
0
0
0
0
0
0
0
0
0.125
0.75
0.75
0
0.5
1.625
3.75
4.875
2.625
1.25
0.25
0.375
0.625
0.625
1
1
0.75
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.25
0.375
0.5
0.625
0.625
0.75
0.625
0.375
0.25
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0.125
0.125
0.5
0.25
0.25
0.125
0
0.375
0.125
0.125
0.25
0.375
0
0.125
0.25
0.375
0.75
1.125
1.375
1.625
2.625
3.875
4.375
4.5
4.75
5.375
6.5
9.25
12.375
13.625
11.375
7.625
5
4.25
3.75
3.375
3.5
4
4.125
3
1.75
0.875
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.375
0.625
0.75
0.875
1
0.875
0.875
0.875
0.625
0.375
0.25
0.125
0
0
0
0.25
1.125
1.625
1.5
1.375
1
1.5
5.25
15.25
17.75
6.375
0.875
0
0.25
0.125
0
0
0
0
0
0
0
0.125
1.5
1.125
0.5
0.875
2
4.625
4.125
1.5
0.25
0.375
0.625
0.625
0.875
0.875
0.5
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.375
0.5
0.625
0.625
0.75
0.75
0.625
0.5
0.375
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0.125
0.125
0.375
0.125
0.125
0.125
0.375
0.125
0.125
0.125
0.25
0.125
0
0
0.25
0.5
0.75
0.75
0.75
0.875
1.375
2.125
2.625
2.875
3.375
4.375
5.5
7.125
9.5
9.375
8.125
6.125
4.75
3.875
3.625
3.5
3.25
2.625
2
1
0.75
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0
0.125
0.375
0.625
0.75
0.75
0.875
1
1
1.125
1.125
0.875
0.75
0.625
0.375
0.125
0
0
0.125
0.875
1.75
2.125
1.75
1.625
1.625
2.625
9.375
12.375
7.125
2.125
0.25
0.375
0.25
0
0
0
0
0
0
0
0.375
0.625
0.75
1.625
2.375
3.625
5.75
3.75
1.875
0.375
0.625
0.75
0.375
0.375
0.375
0.25
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0.125
0.25
0.375
0.375
0.5
0.625
0.75
0.875
0.875
0.75
0.625
0.5
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.125
0.125
0.125
0.25
0.25
0.125
0.375
0.625
0.125
0
0.125
0.125
0.25
0.375
0.375
0.375
0.25
0.25
0.5
0.875
1.375
1.75
2.5
3.25
4
4.75
5.75
6
5.875
5.125
3.875
3.5
3.625
2.625
1.75
1.25
0.75
0.75
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.125
0
0
0
0.125
0.25
0.5
0.5
0.5
0.75
0.875
1.125
1.25
1.25
1.25
1.125
1
0.75
0.375
0.125
0.125
0
0.25
0.75
1.625
2.125
2.125
1.875
2.375
2.75
5.125
10.125
9.625
4.375
1.25
0.5
0.75
0.125
0
0
0
0
0
0.125
0.25
0.75
1.625
1.875
2.5
4.75
5
2.875
1.5
0.625
0.5
0.75
0.25
0
0
0
0
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0.125
0.125
0.25
0.375
0.5
0.625
0.75
0.75
0.875
0.875
0.875
0.75
0.5
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.25
0.125
0.125
0.375
0.25
0.125
0.25
0.375
0.125
0
0.125
0.125
0
0
0.125
0.125
0.125
0
0
0.125
0.25
0.625
1
1.625
2.125
2.5
2.625
3.125
3.75
4
3.625
3
2.75
2
1.125
0.5
0.5
0.75
0
0
0.125
0
0
0
0
0
0
0.25
0.5
0.25
0
0
0
0.125
0.25
0.375
0.25
0.25
0.375
0.625
0.875
1
1.125
1.375
1.25
1.375
1.5
1.25
0.75
0.375
0.25
0.25
0.375
1
1.75
2
2.125
2.125
1.875
2.5
4.25
5.875
8
9.25
3
1.125
1.875
0.625
0
0
0
0
0
0
0.625
1
1.25
2.625
2.25
3.625
3.25
2.125
0.75
0.875
1.625
1.5
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0.125
0.125
0.125
0.25
0.375
0.625
0.625
0.75
0.875
0.875
0.875
0.875
0.875
0.75
0.625
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.25
0.25
0.5
0.375
0.375
0.375
0.375
0.625
0.125
0
0.125
0.125
0
0
0
0.125
0.125
0
0
0.125
0.125
0.125
0.25
0.625
0.875
1
1.25
1.5
1.75
2.25
2.5
2.125
1.5
1.25
0.75
0.5
0.5
0.625
0.25
0.25
0
0
0
0
0
0
0.375
0.5
0.375
0.25
0
0
0
0.125
0.25
0.25
0.125
0.25
0.375
0.625
0.75
0.875
1
1.25
1.375
1.5
1.75
1.75
1.375
0.875
0.375
0.375
0.375
1
2
2.25
2.125
1.75
1.5
1.375
2.5
5.125
6.75
9.25
4.875
2.375
3.125
0.875
0.25
0
0
0
0
0.125
0.375
0.75
3
4.375
2.125
1.375
1.375
1.625
2
2.125
1.75
1.375
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0.125
0.125
0.125
0.25
0.375
0.5
0.75
0.875
0.875
0.875
0.875
0.875
0.875
0.75
0.5
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.375
0.5
0.375
0.25
0.375
0.375
0.375
0.5
0.25
0.125
0
0.125
0
0
0.125
0
0
0
0
0
0.125
0
0
0.125
0.25
0.25
0.375
0.375
0.75
1
1.25
1.125
0.75
0.5
0.375
0.375
0.625
0.5
0.25
0.125
0
0
0
0
0.125
0.375
0.5
0.5
0.5
0.375
0.125
0.125
0
0.125
0.25
0.125
0.125
0.125
0.25
0.5
0.75
0.625
0.75
1.125
1.375
1.625
1.875
1.75
1.625
1.25
0.625
0.375
0.375
0.75
1.5
2
2.375
2.125
1.625
1.125
1.25
3.125
5.5
5.375
5.5
3.5
2.625
1
0.625
0
0
0.25
0.125
0
0
0.5
1
1.25
0.5
1
2.75
3.125
3
2.875
1.75
1.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0
0.125
0.25
0.375
0.5
0.625
0.75
0.75
0.75
0.75
0.75
0.625
0.625
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.25
0.625
0.375
0.25
0.25
0.375
0.375
0.375
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.375
0.5
0.375
0.125
0.125
0.125
0.125
0.25
0.125
0
0.125
0
0
0.25
0.375
0.5
0.5
0.5
0.375
0.375
0.375
0.25
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.375
0.375
0.375
0.5
1
1.375
1.5
1.625
1.5
1.75
1.75
1.25
1
1
1.125
1.625
1.5
1.625
1.875
1.875
1.375
0.875
1.375
4.25
6.875
6.75
3.125
2.125
2.5
5.125
0.625
0.125
0.125
0.25
0.375
0.25
1.125
2.75
2
1
1.5
2.625
5
4.25
2.5
0.75
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0
0.125
0.125
0.25
0.375
0.5
0.5
0.625
0.625
0.625
0.625
0.625
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.375
0.25
0.375
0.375
0.375
0.5
0.5
0.5
0.375
0.375
0.125
0.125
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0
0
0
0.25
0.125
0.125
0.125
0.25
0.5
0.5
0.5
0.625
0.5
0.5
0.375
0.25
0.25
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.375
0.5
0.75
1.25
1.375
1.125
1.25
1.625
1.875
1.875
2.25
2.375
2
1.875
1.75
1.625
1.875
2.625
2.875
1.375
1.125
2.125
5
6.75
4
2.125
4.875
3.75
1.875
2.5
2
1
1
1
1.5
2.875
1.5
1.375
3.625
4.875
4.625
2.875
1
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0.125
0.125
0.125
0.25
0.375
0.375
0.5
0.5
0.5
0.5
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.375
0.25
0.375
0.375
0.25
0.25
0.625
0.625
0.625
0.5
0.375
0.125
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5
0.375
0.375
0.5
0.625
0.625
0.75
0.75
0.625
0.625
0.5
0.5
0.375
0.25
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.375
0.5
0.625
0.875
0.875
0.625
0.875
1.5
2.25
2.875
3.375
3.625
3.125
2.25
2.375
2
2.125
2.125
2.125
2.125
1.75
1.375
3.25
6.75
4.125
4
8
9
8.125
6.375
2.875
2.375
1.875
2.125
2.5
3
3.75
4.25
5.125
3.875
2.875
1.375
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.25
0.25
0.25
0.25
0.375
0.375
0.375
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.375
0.375
0.5
0.5
0.5
0.5
0.625
0.5
0.5
0.25
0.125
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.75
0.625
1
1.125
1
0.875
0.875
0.75
0.625
0.625
0.5
0.375
0.375
0.25
0.25
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.5
0.625
0.625
0.75
1
1
0.625
1.25
2.375
3.125
3.625
4
4.125
3.625
3.5
3.25
3
2.5
1.75
1.875
2.5
2.125
1.875
2
3.125
5.125
7.75
6.375
6
2
1.25
2.875
2.625
3.625
4
4.375
5.25
5.5
4.25
3
1.625
0.5
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.25
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0.125
0.25
0.375
0.5
0.5
0.5
0.5
0.625
0.625
0.375
0.375
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.875
1.125
1.5
1.5
1.25
1.125
0.875
0.75
0.625
0.625
0.625
0.5
0.5
0.375
0.25
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.375
0.625
0.625
0.5
0.625
0.5
0.25
0.375
1.25
2
2.75
3.25
3.125
3.25
4.375
5
4.625
3.5
2.25
1.5
1.5
1.75
1.75
2.25
4.25
4
7.25
8.625
7.125
2
1.125
2.5
2.75
3.625
4.25
4.5
4.5
4.25
3
2
1
0.5
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0.125
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0.125
0.25
0.375
0.5
0.5
0.375
0.375
0.5
0.25
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.25
1.625
1.5
1.5
1.375
1.125
0.875
0.75
0.625
0.625
0.625
0.625
0.5
0.5
0.25
0.25
0.125
0.125
0.125
0.25
0.125
0.125
0.125
0.375
0.5
0.375
0.125
0.125
0.125
0
0
0.25
1.125
1.625
2
2.125
2.125
2.875
5
5.375
4.75
3.25
1.75
1.5
1.25
1.625
2.875
3.125
3.5
4.875
4
2.5
1.625
2.625
3.125
3.625
3.75
4.25
4.5
4.125
3.625
3.5
2.75
1.5
0.75
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0.25
0.375
0.5
0.375
0.375
0.5
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.75
1.75
1.5
1.375
1.375
1
0.75
0.625
0.5
0.625
0.75
0.625
0.625
0.5
0.375
0.25
0.125
0.125
0.125
0.25
0.25
0.125
0.125
0.125
0.25
0
0
0
0
0
0
0.125
0.25
0.25
0.5
1
1.375
2.125
3.25
4.75
5.375
4.125
2.25
1.625
1.625
1.5
3.375
7.25
6.875
5.75
6.25
7.125
5.875
5.5
5.375
4.75
4.25
4.75
4.875
4.75
4.375
3.25
2.25
1.625
0.625
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0.375
0.5
0.5
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.75
1.625
1.5
1.375
1.25
1
0.625
0.5
0.5
0.625
0.625
0.625
0.625
0.625
0.375
0.25
0.125
0.125
0.125
0.25
0.25
0.25
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0.125
0.75
0.875
1.625
2.5
3.375
5.125
4.625
4.125
2.625
1.75
2.125
7.75
17.75
15.75
7.125
7.25
11
8.875
7
6.875
5.5
4.25
5.125
5.125
4.375
4.25
3.75
2.25
1.25
0.625
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.375
0.375
0.25
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.5
1.625
1.75
1.625
1.375
1
0.75
0.625
0.5
0.625
0.75
0.75
0.75
0.625
0.375
0.25
0.125
0.125
0.125
0.25
0.25
0.25
0.25
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0.25
0.625
0.625
1.25
2.5
2.875
4.375
4.625
5.125
5.625
3.625
4.375
11.875
17.875
11.625
6.75
4.375
10.625
8.5
5.875
5.125
5.25
3.875
3.375
4
2.75
2.625
2.875
1.875
1.125
0.5
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0
0.125
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.5
1.875
2
1.875
1.625
1.25
0.875
0.625
0.5
0.5
0.75
0.75
0.75
0.625
0.5
0.25
0.125
0
0.125
0.125
0.25
0.375
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0.125
0.5
0.625
1.125
2.5
3
3.375
4.625
4.625
7.75
8
7.125
7.625
5
0.25
0.625
2.125
8.5
6.5
7.125
6.375
5.875
3.125
2
2
2.5
1.625
1.625
1.125
0.875
0.375
0.125
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.5
1.875
2.125
2.25
1.875
1.375
0.875
0.625
0.375
0.5
0.625
0.75
0.625
0.625
0.5
0.25
0.125
0
0.125
0.125
0.25
0.25
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0.375
0.625
1.25
2.5
3.375
3.375
4.5
5.375
8.625
10
9.5
8.625
7.375
2.25
2.75
6.875
14.25
12.75
8.625
4.5
3
2.5
3.125
3.125
2.375
1.625
1
0.875
0.625
0.375
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.5
1.875
2.125
2.25
2.375
2
1.5
1
0.625
0.5
0.625
0.625
0.625
0.625
0.5
0.375
0.125
0.125
0.125
0.125
0.125
0.25
0.25
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0.25
0.75
1.625
2.875
3.875
3.625
4.125
6.25
9.875
11.75
13.375
14.125
7.875
2.375
3.5
7.25
9.25
6.125
4.125
2.25
1.625
1.375
1.75
2.125
1.625
1.25
0.75
0.5
0.625
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
1.375
1.75
2.25
2.75
3
2.75
2.25
1.625
1
0.75
0.75
0.625
0.625
0.625
0.5
0.5
0.25
0.125
0.125
0.125
0.125
0.25
0.25
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0.125
0.5
1.875
3.625
4.25
3.75
3.25
5
11.125
15.25
16
14
8.875
2.875
7.125
11.25
12.375
10.625
7.375
5
3.75
1.875
0.625
1.125
0.75
0.5
0.25
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.5
1.875
2.375
2.875
3.25
3.25
2.875
2.25
1.375
1
0.875
0.75
0.625
0.625
0.625
0.5
0.375
0.125
0.125
0.125
0.125
0.125
0.25
0.25
0.25
0.125
0
0
0
0
0
0
0
0.125
0
0.125
0.625
1.75
4.125
5.25
4.25
2.875
3.75
13
20.125
17
6.5
2.875
6.125
8
8.75
9.625
9.25
6.875
3.375
1.625
1.75
0.375
0.125
0.375
0.25
0.125
0.125
0.125
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.125
1.625
2.125
2.75
3.25
3.5
3.375
2.75
1.875
1.375
1.125
0.75
0.625
0.625
0.625
0.5
0.375
0.25
0.125
0.125
0.125
0.125
0.25
0.25
0.125
0.125
0.125
0
0
0
0
0
0.125
0.125
0.125
0.125
0.5
1.75
4.375
6.125
4.875
3.375
4.25
12.125
18.625
12.75
6.125
4
5.125
5.375
4.5
4.5
5.125
4.25
2.375
1
0.5
0.375
0.25
0.375
0.25
0.125
0
0.125
0.125
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0
0
0.625
1.25
2
2.75
3.25
3.5
3.5
3.125
2.5
1.75
1.25
0.875
0.625
0.75
0.75
0.625
0.5
0.25
0.125
0.25
0.125
0.125
0.125
0.25
0.25
0.125
0.125
0
0
0
0
0.125
0
0.125
0
0.125
0.625
1.75
4.5
7.25
6
4.25
4.75
9.625
9
5.125
4.875
7.375
6.875
5.75
4.125
2.125
1.75
1.5
0.75
0.125
0.125
0.25
0.125
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.75
1.5
2.25
2.875
3.25
3.5
3.5
3.375
2.625
1.75
1.375
0.875
0.75
0.75
0.75
0.75
0.625
0.375
0.375
0.375
0.25
0.125
0.125
0.25
0.25
0.25
0.125
0
0
0
0
0
0
0
0.125
0.25
0.625
1.75
4.5
8.25
7.75
6
8.25
9.5
7.75
9.75
11.25
9.125
5.875
4.375
3.75
2
0.75
0.875
0.875
0.875
0.5
0.375
0.125
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0
0
0
1
1.5
2.375
3
3.25
3.5
3.5
3.25
2.625
1.875
1.25
0.875
0.875
0.875
0.875
0.875
0.75
0.625
0.5
0.375
0.375
0.125
0.25
0.25
0.375
0.25
0.125
0
0
0
0
0
0
0
0.125
0.25
0.875
1.875
4.75
9
10
10.625
10
4.625
1.75
6.625
10.5
6.5
4.375
3.5
2.5
1.875
1
0.75
0.5
0.375
0.375
0.125
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.125
1.5
1.875
2.375
2.75
3.25
3.375
3.375
3
2.5
1.75
1.125
0.75
0.875
1
1
1
0.75
0.625
0.5
0.25
0.25
0.25
0.25
0.25
0.25
0.125
0.125
0
0
0
0
0
0
0
0.125
0.375
1.125
2.625
4.875
8.5
9.25
3.125
0.5
0.375
3.25
6.25
6.875
5.875
2.125
0.5
0.25
0.25
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.25
0.25
0.25
0.125
2
2
2.25
2.75
3
3.25
3.125
2.75
2.125
1.5
0.875
0.625
0.875
1
1
0.875
0.5
0.25
0.125
0.125
0.25
0.25
0.25
0.375
0.25
0.125
0.125
0
0
0
0
0.125
0.125
0.125
0.125
0.375
1
3.25
5.5
7.625
9
5.375
0.875
4.25
9.625
8.125
4.875
3.5
0.625
0
0
0
0
0
0
0
0
0
0
0.125
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.25
0.25
0.375
0.375
0.25
1.875
1.75
2.125
2.625
2.875
3
2.75
2.375
1.625
1
0.625
0.625
0.875
1
0.875
0.5
0.25
0
0.125
0.125
0.25
0.375
0.375
0.375
0.25
0.125
0.125
0
0
0
0
0.125
0.125
0.125
0.25
0.375
1
3.5
6.5
8.25
10.25
6.125
3.625
5.75
8.75
9.375
3
0.75
0.25
0
0
0
0
0
0
0
0.25
0.25
0.125
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.25
0.25
0.375
0.375
0.375
0.375
0.375
1.5
1.625
2.125
2.75
2.75
2.75
2.5
1.875
1.125
0.625
0.5
0.625
0.875
0.875
0.625
0.375
0.125
0
0
0.125
0.25
0.375
0.375
0.375
0.25
0.25
0.125
0
0
0
0
0
0
0
0.125
0.375
0.875
3.5
7.5
9.5
8.875
4.125
1.375
2.25
3
4
2.125
0.125
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.375
0.375
0.375
0.375
0.5
0.5
0.375
0.375
1.375
1.875
2.5
2.875
2.75
2.5
2
1.25
0.75
0.5
0.5
0.625
0.875
0.75
0.625
0.375
0.125
0
0
0.125
0.25
0.375
0.375
0.375
0.25
0.25
0.125
0
0
0
0
0
0
0
0.125
0.5
1.125
3.625
8.125
9.75
7
3
2
2.125
2.25
1.875
1
0.5
1.125
0.75
0.125
0.125
0
0
0
0
0
0
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.375
0.375
0.375
0.375
0.375
0.25
0.125
1.875
2.5
3
3
2.5
2
1.5
0.75
0.5
0.375
0.5
0.75
0.875
0.75
0.5
0.25
0
0
0
0.125
0.25
0.375
0.375
0.375
0.25
0.25
0.125
0.125
0
0
0
0
0
0
0.25
0.625
1.625
3.875
7.875
8.5
5.625
3.25
1.625
1.25
0.75
1
1.5
2.25
2
0.875
0.125
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.25
0.125
0.125
0.125
2.875
3.125
3.125
2.625
2
1.5
1
0.5
0.375
0.5
0.75
0.875
0.875
0.75
0.5
0.25
0
0
0
0.125
0.25
0.375
0.375
0.375
0.25
0.25
0.125
0.125
0.125
0
0
0
0
0.125
0.375
1.125
2.25
4.25
7.125
7.625
6
5.75
6.875
6.875
4.625
2
0.875
1
0.625
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0.125
0.125
0.125
0
2.625
2.875
2.5
1.75
1.125
0.875
0.625
0.5
0.5
0.75
1
1.125
1.125
0.875
0.5
0.25
0
0
0
0.125
0.25
0.375
0.375
0.375
0.25
0.125
0.125
0.125
0
0
0
0
0.125
0.125
0.5
1.75
2.875
4.625
7
7.75
8.375
9.375
9.75
8.125
5.875
5.375
5.5
3.125
1.875
0.5
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0.125
0
0
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.875
1.25
1.25
1.375
1.5
1.25
0.875
0.75
0.75
0.875
1.25
1.375
1.375
1.125
0.75
0.375
0.125
0
0
0.125
0.25
0.375
0.375
0.375
0.25
0.125
0.125
0.125
0
0
0
0
0.125
0.25
1.125
2.875
3.625
5.125
6.75
6.875
7
8.25
8.75
7.5
6.375
6.5
7.875
6.25
4.375
1.625
0.375
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0.125
0
0.125
0.25
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0.875
1.125
1.125
0.875
0.875
0.75
1
1.25
1.5
1.625
1.625
1.25
0.75
0.375
0
0
0.125
0.25
0.375
0.375
0.375
0.25
0.125
0.125
0.125
0.125
0
0
0.125
0.125
0.375
1.75
3.75
4.375
5.75
6.875
7.125
5.375
4.25
4.125
5.5
7.75
7.375
6.5
5.75
3.625
1.25
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.25
0.375
0.375
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.5
0.5
0.5
0.625
0.625
0.5
0.375
0.5
0.75
1.125
1.375
1.625
1.5
1.25
0.75
0.25
0
0
0.25
0.375
0.375
0.25
0.25
0.125
0
0.125
0.125
0
0
0.125
0.25
0.625
2.5
4.125
5.125
6.5
7.125
7.625
8.75
6.75
3.5
3.375
6.625
6.625
6.25
5.625
3.125
1
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.375
0.375
0.375
0.375
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
0.5
0.5
0.5
0.5
0.375
0.25
0.125
0
0.125
0.25
0.5
0.875
1.375
1.5
1.375
0.875
0.375
0.125
0.125
0.25
0.375
0.375
0.25
0.25
0.125
0.125
0.125
0.125
0
0
0.125
0.25
1.125
3.125
4.75
6.25
7
5.875
5.125
6.5
9.25
7
2.75
5.625
6.5
4.5
3.375
1.875
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.25
0.375
0.375
0.5
0.75
0.625
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5
0.625
0.5
0.5
0.25
0.125
0
0
0
0
0.125
0.375
0.875
1.25
1.5
1.25
0.875
0.375
0.125
0.125
0.25
0.25
0.375
0.25
0.25
0.125
0.125
0.125
0
0
0
0.125
0.375
1.375
3.75
5.375
7.25
7.25
4.875
3.375
2.875
4.25
6.5
3.5
3
3
2.25
1.75
1
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.125
0.125
0.25
0.25
0.5
0.625
0.875
0.75
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.625
0.75
0.625
0.625
0.5
0.375
0
0
0
0
0.125
0.25
0.5
0.875
1.125
1
0.5
0.25
0.125
0.125
0.25
0.375
0.375
0.25
0.125
0.125
0.125
0.125
0.125
0
0
0.125
0.5
1.375
3.25
4.75
6.25
7
5.5
4.25
3.5
3.875
5.75
4.5
1.625
1
1
0.625
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.125
0.125
0.25
0.25
0.375
0.625
0.75
0.625
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.875
1
1
1.125
1
0.625
0.25
0.125
0
0
0
0
0.125
0.25
0.375
0.5
0.5
0.375
0.25
0.25
0.25
0.375
0.375
0.375
0.25
0.125
0.125
0.125
0.125
0
0
0.125
0.75
1.5
3.125
5.25
6.75
7.125
6.125
4.375
1.75
0.625
1.625
2.75
1.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.125
0.125
0.25
0.375
0.375
0.5
0.75
0.625
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.875
1
1.125
1.125
1
0.75
0.625
0.5
0.25
0.25
0.25
0.25
0.25
0.375
0.5
0.5
0.5
0.5
0.5
0.375
0.375
0.375
0.375
0.25
0.25
0.125
0.125
0.125
0.125
0
0
0.25
0.75
1.625
3.5
6.375
8.375
8.375
7.75
7.75
4.375
0.375
0.375
0.375
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.25
0.25
0.375
0.375
0.5
0.625
0.5
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
0.5
0.5
0.625
0.75
0.75
0.875
0.75
0.75
0.5
0.375
0.375
0.375
0.5
0.5
0.5
0.5
0.5
0.5
0.375
0.375
0.375
0.375
0.375
0.25
0.25
0.25
0.125
0.125
0
0
0.375
1
1.75
3.875
7.625
11.25
12
10.875
8.125
5.125
4
3.375
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.25
0.375
0.5
0.5
0.5
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0.125
0.125
0.25
0.5
0.5
0.75
1
1
0.75
0.25
0.25
0.375
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.375
0.375
0.375
0.375
0.25
0.25
0.25
0.125
0.125
0
0.125
0.5
1.25
2
4.5
8.375
10.625
11.125
11.25
8.125
4.5
5.25
4.625
0.75
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.25
0.25
0.375
0.5
0.5
0.5
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0.25
0.125
0
0
0
0
0.125
0
0
0.125
0.25
0.375
0.5
0.5
0.5
0.375
0.125
0.25
0.5
0.625
0.625
0.625
0.5
0.5
0.5
0.5
0.5
0.375
0.375
0.375
0.375
0.375
0.375
0.25
0.25
0.125
0.125
0.125
0.625
1.375
2.25
4.875
8.125
10.125
10.75
8.75
6
4
4.375
3.25
0.625
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.25
0.25
0.25
0.375
0.375
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.5
0.5
0.375
0
0
0
0.125
0.375
0.25
0.125
0.125
0.125
0.125
0.25
0.25
0.375
0.5
0.375
0.5
0.5
0.625
0.75
0.75
0.625
0.5
0.5
0.5
0.5
0.5
0.375
0.375
0.375
0.375
0.25
0.375
0.25
0.25
0.125
0.125
0.25
0.625
1.5
2.625
5.125
8.125
9.25
9.625
7.375
5.875
3.75
1.375
1.25
0.375
0
0
0
0
0
0.25
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.125
0.25
0.25
0.25
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
0.5
0.25
0
0
0
0.25
0.375
0.25
0.5
0.375
0.375
0.375
0.625
0.625
0.375
0.375
0.375
0.5
0.625
0.625
0.75
0.875
0.75
0.625
0.5
0.5
0.5
0.625
0.5
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.25
0.125
0.125
0.25
0.875
1.75
2.875
5.25
8.375
9.625
8
4.625
3.25
2.375
0.375
0.25
0.25
0.125
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.25
0.25
0.25
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0.125
0.125
0.375
0.125
0.125
0
0
0.125
0.25
0.75
0.75
0.625
0.75
0.75
0.625
0.5
0.375
0.25
0.5
0.5
0.375
0.5
0.75
0.75
0.625
0.625
0.5
0.625
0.625
0.625
0.5
0.5
0.375
0.375
0.375
0.375
0.375
0.375
0.25
0.125
0.25
0.375
1
2.25
3.625
5.5
9
10.625
8.375
6.5
4.25
3.125
1.875
0.125
0
0.125
0.125
0
0
0
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.25
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0.25
0.25
0.125
0.125
0
0
0.25
0.875
0.875
0.75
0.625
0.75
0.875
0.75
0.5
0.375
0.5
0.5
0.375
0.125
0.5
0.625
0.625
0.625
0.625
0.625
0.75
0.75
0.75
0.625
0.5
0.375
0.375
0.375
0.375
0.375
0.375
0.25
0.25
0.25
0.5
1.25
2.75
4.375
5.75
8.375
10.875
11.125
9.75
6.25
1.875
2
0.625
0
0
0
0
0
0
0.125
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.375
0.25
0.125
0.125
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0.5
0.25
0.125
0
0
0
0.25
0.625
0.875
0.75
0.5
0.5
0.5
0.125
0.25
0.5
0.625
0.625
0.625
0.375
0.25
0.5
0.625
0.625
0.625
0.625
0.75
0.875
0.875
0.75
0.5
0.375
0.375
0.375
0.375
0.375
0.375
0.25
0.25
0.25
0.625
1.375
3.125
4.75
6
7.75
9.375
9.75
6.25
3.75
1.625
0.75
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.375
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0.125
0.5
0.75
0.25
0.125
0
0
0.375
0.625
0.75
0.5
0.25
0.125
0
0.25
0.625
0.75
0.75
0.75
0.625
0.625
0.5
0.375
0.625
0.625
0.625
0.625
0.625
0.75
0.75
0.625
0.5
0.375
0.375
0.375
0.375
0.375
0.375
0.25
0.25
0.25
0.75
1.75
3.25
4.125
6
8.375
9.375
6.875
3.75
2.125
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0.25
0.25
0.5
0.375
0
0
0
0.25
0.375
0.5
0.5
0.125
0
0.375
0.625
0.75
0.875
0.875
0.875
0.75
0.625
0.5
0.5
0.375
0.5
0.625
0.625
0.625
0.625
0.625
0.625
0.5
0.375
0.375
0.375
0.375
0.375
0.375
0.25
0.25
0.25
0.875
1.75
3
3.375
6
8
8.625
6.375
2.25
1.875
1.25
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0.125
0.375
0.875
0.375
0.125
0
0
0.125
0.25
0.25
0.125
0.125
0.625
0.75
0.375
0.375
0.375
0.625
0.625
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.375
0.375
0.375
0.375
0.375
0.375
0.25
0.25
0.25
0.875
1.75
3
3.5
5.25
6.75
8.125
8.25
2.625
0.375
1.125
1.5
0.5
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0.25
0.5
0.5
0.25
0.125
0
0
0
0
0.125
0.5
0.375
0.125
0.125
0.25
0.25
0.5
0.375
0.625
0.625
0.75
0.75
0.625
0.625
0.5
0.5
0.375
0.375
0.375
0.375
0.5
0.5
0.375
0.375
0.375
0.375
0.375
0.375
0.25
0.375
1
1.875
2.25
2.625
4.875
5.875
6.5
6.75
3.375
0.125
0.125
0.25
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0
0.25
0.5
0.625
0.375
0.25
0
0
0
0
0
