0
0
0
0.125
0
0
0
0.125
1.375
1.75
4.25
0.625
1.625
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
0.25
0.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.375
0.25
0.25
0.125
0.375
0.375
0.25
0
0
0
0
0.125
0.25
0.25
0.25
0
0
2
3.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2.25
4.5
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
0.25
1.625
1.375
1.875
1.25
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
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0.125
0.25
0.25
0.25
0.125
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
1.875
5
2.25
2.375
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
0.125
0.625
0.5
0
0
0
0
0.125
1.375
1.125
1
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
0.125
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
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5
5.875
2.625
3.375
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
2.125
3.375
3.25
1.375
0
0
0
0
0.625
0.875
0.875
0.375
1.375
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
0.125
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
6
1
2
0
0
0
0
0
0
0
0
0
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
2
4
5.5
2.125
0
0
0
0.375
0.125
0.375
2.125
1.125
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2.625
5
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
1.375
3.25
3
0.5
0
0.25
0.125
0.125
0.25
0.875
3.125
2.875
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
0.125
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
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
7.875
0.75
0
0
0
0
0
0
0.125
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
0.125
0.375
0.5
0.125
0
0.125
0.125
0.125
0.375
0.75
1.875
1.75
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
0.125
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
0.375
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
3.5
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
0.25
0
0.125
0.25
0.125
0.125
0
0
0.125
0.25
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2.25
8.5
0.75
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
0.375
0.125
0
0
0
0
0.25
0.25
0.25
0.125
0.125
0.125
0
0.125
0
0
0.125
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
0.125
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
3.75
6
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.625
0.125
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
1
3.375
0.875
0
0
0
0.25
0.25
0
0
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
0
0
0
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
3.25
5.625
0.5
0.25
2.75
5
1.875
0
0
0
0
0
0
0
0.125
0
1.625
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
2.25
3.625
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
0.125
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
3.125
3.125
1.125
1.75
1.375
2.25
0.375
0.375
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
0.125
1.25
2.375
1.375
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
0.25
0.375
0.125
0.25
0.5
1.625
0.75
0.125
0
0
0
0
0
0.625
2.125
3.875
1.75
0
0
0
0
0
0
0
0
0
0.125
0.625
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
2
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
0.125
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
0
0.25
0.25
0
0.375
2.375
4.375
1.5
0.5
0
0
0
0
0
2.875
7.625
7.5
6.75
0.375
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.25
0.5
0.125
0.125
0.125
0.125
0
0
0
0
0
1.25
2.25
1.375
2.375
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
0.125
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
0.125
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
0
0
0
0
0
0
0
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
1.625
4.625
10.375
8.75
3.125
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
0
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0.375
0.5
0.625
0.375
0.25
0
0.625
2.25
7.875
12.375
8.375
1.875
0.25
0
0
0
0
0
0
1.125
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.375
0.125
0.25
0.25
0.25
0.125
0.125
0.75
3.375
7.625
7.5
9.875
8.5
9.125
19.25
3
0
1.125
0
0
0
0
0
2.25
1.375
0
0
0
0
0
0
0
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
1.125
7.625
11.5
12.375
14.5
25.125
26.375
9.875
2.125
0.125
0
0
0
0
0
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0.125
0
3.375
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
8.875
20.5
26.875
25.875
9.75
0.375
0
0
0
0
0
1.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0.25
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.375
7.125
17.5
21.5
10.125
1.875
0.125
0
0
0
0
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0.125
0.125
0
0
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
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
0.125
0
0
0
4.25
10.375
14.5
6.375
3.75
0.5
0
0
0.375
3.375
0
0
0
0
0
0
0
0
0
0
0
1.125
1
0.625
0
0
0
0.125
0
0
0
0.125
0.125
0.125
0.125
0.125
0
0.125
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
0.125
0
0
0
0
0
2.5
3.75
2.375
8
3.625
0
0
0
0.25
3.25
2.375
1
0
0
0
0
0
0
0
0
1.5
1.75
6
2.875
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.375
1.5
2.625
9.75
9.125
2.5
0.125
0.125
0.125
0.125
0.625
0.75
0
0
0
0
0
0
0
0
0.125
2
5.875
4.5
0.25
0
0
0
0.125
0.125
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.25
3.5
10.375
10.75
6.75
2.125
0.125
1.25
1.75
0
0
0
0
0.125
0.25
0
0
0
0
0
0.25
6.5
5.125
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
7.875
10.375
11
7.125
1.125
3.375
3.625
0.375
0
0
0
0.625
1.5
0.25
0
0
0
0
0.125
0.75
2.375
0.625
0.25
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
0
0
0
0
0
0
0
0
0
0
0
0
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
4.375
9.75
15.125
13.25
4.375
0.625
0.25
0.25
0.125
0
0
0.875
1
0.125
0.125
0
0
0
0.125
0
0.25
0.125
0.125
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
6.875
15
19
9.375
1.25
0
0.125
0.25
0
0
1.125
4.125
2.75
0.375
0
0.125
0.125
0
0
0.25
0.125
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
0.125
2.875
11.375
19
13
4.125
2
1.625
0
0
0
2.25
4.25
1.75
0.125
0.625
0.125
0.125
0.125
0.125
0.625
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
7.25
16.125
14.5
9.5
1.875
2
0
0
2.875
3.75
5.375
3.25
2.375
1.75
0.125
0.125
0.125
0.125
0.5
0.375
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
11.75
15.125
14.75
2.75
0
0.5
6.75
4.5
1.125
2.5
4.875
4.75
4.625
0.25
0.25
0.125
0.375
0.5
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
7.5
16.25
18.875
8.25
0.75
0
3.25
7.375
6
9.125
7.375
3.375
5.625
0.875
0.625
0.5
0.375
0.75
0.75
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
0.125
3.375
13.375
18.25
11.75
3
0
1.625
2.625
3.875
8.75
13.25
5.125
3.875
3.875
0.875
0.5
0.5
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
8.25
17
16.5
6
0.125
13.25
10.125
0
7.875
16.875
12.5
5.625
2.25
0.75
0.25
1.5
0.875
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
0
0
3.125
13.25
18.625
10
7
18.75
6.5
0
5.875
15.375
9.875
6.125
1.375
0.5
0.375
3.375
2.25
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
0.5
7.875
16.75
10.5
16.75
13.75
4.125
6.75
1.875
15.5
18.75
11.875
2.375
0.375
0.75
3.375
8.5
2
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3.5
11.875
11.5
23
20.625
17.625
2.75
0.375
3.625
12.625
6
0.5
0.375
0.5
2.625
7
1.75
2.5
0.375
0
0
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
0.875
3.5
16.5
26
26.25
8.625
0.375
0
0
0.625
1.75
0.125
0.25
0.625
3.25
3.625
2.5
0.75
1.375
0
0
1.625
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
0.125
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
3.625
13.875
26
20.875
1.25
0
0
0
0.75
0.25
0
0.125
0.375
1.125
2.25
1.375
5
3.625
2.5
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1.75
11.125
23.5
20.625
8.375
13
4.75
0.125
0.25
0
0
0
0.125
0.375
0.5
0.625
2.125
5.875
2.25
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
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0.125
0.125
0.125
0
0
0
0
0.75
8.75
18.875
19
18.375
23.5
4.125
3.875
1
0
0
0
0.125
0.125
0
0.125
0.125
3.875
3.625
1.875
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
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0.125
0.125
0.125
0.125
0
0
0
0
0.375
6.375
14.75
24.625
21.875
14.25
3.5
4.25
0
0
0
0
0
0
0
0
0
0.875
5.5
3.625
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
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0
0
0
0.125
0.25
0.25
0.125
0.125
0
0
0
0.125
4.25
13.5
23.125
20.5
10.25
5
0.875
0
0
0
0
0
0
0
0
0
0.375
3.125
3.625
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0.125
0.125
0.25
0.25
0.25
0
0
0
0
2.625
11.75
21.375
21.5
9.875
4.5
1.625
0
0
0
0
0
0.125
0
0
0
0.25
0.75
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
0.125
0.125
0.125
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
1.625
10.375
19.5
21.125
13.125
5.125
2.125
0.125
0
0
0
0
0
0
0
0
0.25
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
0.125
0.125
0.125
0.125
0.125
0.25
0.25
0.125
0.25
0.25
0.25
0.25
0.25
0.25
0.125
0
0
0
1.25
8.75
16.75
20.375
14.625
5.75
2.25
0.5
0
0
0
0
0
0.125
0.25
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
0.125
0.125
0.25
0.25
0.375
0.375
0.375
0.375
0.375
0.375
0.25
0.25
0.25
0.25
0.125
0
0
0.75
7.25
17
26.125
20.875
7.5
2.25
0.875
0.25
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.375
0.375
0.375
0.5
0.375
0.25
0.25
0.25
0.125
0
0
0.375
6.25
15.625
24.5
26.375
14.5
1.625
0.5
0.25
0
0
0
0
0
1
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
0.125
0.125
0.25
0.25
0.25
0.25
0.375
0.375
0.5
0.5
0.375
0.25
0.125
0.125
0.125
0
0.25
5.5
14.5
23.375
25.5
13.25
2.125
0.375
0.25
0.375
0.125
0
0
0.125
0.625
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.5
0.375
0.375
0.125
0.125
0.125
0
0.25
5
14
22.625
22.625
16.75
4.125
1.375
0.25
1.875
0.625
0
0.125
0.375
0.875
0.25
0.375
0.625
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.5
0.5
0.375
0.25
0.125
0.125
0
0.125
4.75
14.25
22.25
22.5
16.5
7.625
2.5
3.5
2
1.125
0
0.125
0.25
0.5
0.625
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
0.125
0.125
0.25
0.375
0.375
0.25
0.375
0.375
0.375
0.5
0.375
0.375
0.125
0
0
0.125
4.5
14.875
22.875
22
14
7.625
4.5
4.5
1.5
0.5
0.125
0.125
0.125
0.625
1.5
2.25
0.75
0.125
0.125
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
0.125
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
0.125
0.125
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
0.125
0.125
0.25
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.25
0.125
0
0
4.125
14.875
23.625
20.75
13.375
8.25
5.125
4.875
1.875
0.25
0.125
0
0.125
0.5
2.875
3.25
1.375
1.75
0.375
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
0.125
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
0
0
0
0
0
0
0
0
0
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
0.375
0.5
0.375
0.375
0.375
0.375
0.375
0.375
0.125
0
0
3.75
14.75
24.25
20
12.125
7.875
5.875
5.875
4.125
0.25
0
0
0.25
2
3.75
2.875
1.375
1.375
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
0.125
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
0.125
0.125
0.25
0.375
0.375
0.5
0.5
0.5
0.375
0.375
0.375
0.375
0.375
0.125
0
0
3
13.875
24.625
19.875
12
7.125
6.375
4
2.625
0
0.125
0
0
2.75
4.5
2.625
2.25
2
0.875
0.125
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
0.125
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
0.125
0.125
0.25
0.25
0.375
0.375
0.5
0.5
0.5
0.375
0.375
0.375
0.375
0.375
0.25
0
0
2.625
12.75
24.25
21.625
10.875
6.625
6.75
6
1.25
0.125
0.125
0.375
1.25
5.375
4.125
2.75
2.75
3.125
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.125
0.25
0.25
0.25
0.375
0.375
0.5
0.5
0.5
0.5
0.375
0.375
0.375
0.25
0.25
0
0
2.125
10.75
22
23.375
9.5
6.5
6.75
4.25
0.5
0.125
0.25
1.25
3.5
6.625
3.625
3
2.75
4
1.875
0
0
0
0.125
0
0
0
0
0
0
0
0
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
0.125
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
0.125
0.125
0.25
0.25
0.25
0.375
0.375
0.375
0.5
0.5
0.5
0.375
0.375
0.375
0.25
0.125
0
0
1.875
9.125
20.125
22.25
13
6.125
6.5
2.375
0.5
0.375
0.875
3.75
5.75
5.25
1.625
2.625
2.5
3.75
2.125
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
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
0.125
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
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
0.125
0.25
0.25
0.375
0.25
0.375
0.25
0.375
0.375
0.5
0.5
0.5
0.375
0.375
0.375
0.25
0.125
0
0.125
1.625
8.125
18.5
20.5
17
6.625
6.875
3.75
0.75
1.125
1
4.25
7.25
3
1.25
2.375
2.75
3.25
2.5
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
0.125
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
0.5
0.25
0.25
0.125
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
0
0.125
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
0.125
0.25
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.5
0.5
0.5
0.375
0.375
0.375
0.375
0.125
0
0.25
1.5
7.375
17.125
20.5
20.25
9.125
9.375
5
0.625
0.5
1.625
5.75
6.875
1.625
1.25
2.5
2.125
3
2.625
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
0.125
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
0.125
0.625
1.25
0.875
0.25
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
0.125
0.125
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.375
0.375
0.25
0.25
0.375
0.375
0.375
0.375
0.5
0.5
0.5
0.375
0.375
0.25
0.375
0.375
0
0.25
1.375
6.25
15.375
18.25
20
12.75
11.5
4.125
0.375
1.375
2.5
6.25
3.5
1.375
1.875
2.125
1.875
2.125
2
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
0.125
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
0.25
0.25
0.75
1.375
0.75
0.125
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
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.125
0
0.125
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.5
0.5
0.375
0.375
0.375
0.25
0.375
0.375
0.375
0.5
0.375
0.375
0.375
0.25
0.25
0.5
0
0.25
1.375
5.25
13.625
19
20.75
17.625
13.375
2.625
2.125
2.5
3.5
4.5
2.875
2.75
2.75
2.125
1.75
1.625
1.5
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
0.125
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
0.25
0.5
0.375
0
0
0
0
0
0
0
0.125
0.25
0.5
2.25
1.75
0.125
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0
0
0.125
0.125
0.125
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.125
0.125
0.25
0.125
0.125
0.25
0.25
0.125
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0.125
0.375
1.125
1
0.375
0.5
0.375
0.25
0.375
0.375
0.5
0.375
0.5
0.375
0.25
0.25
0.625
0
0.125
1.375
4.25
11.625
18.875
19.875
19.75
15.375
3.25
2.25
2.5
4.25
3.875
2.375
3.5
3.5
2.125
1.625
1.25
1.25
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
0.125
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
0.375
0.375
1.625
1.875
1.375
0.125
0
0
0
0
0
0
0.375
1.25
0.5
1.375
2.875
0.5
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
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
0.5
0.125
0.125
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0.125
0.125
0
0.25
0.5
0.875
1.875
0.5
0.375
0.375
0.25
0.375
0.375
0.375
0.5
0.375
0.25
0.125
0.125
0.75
0.5
0.25
1.25
3.625
10.875
17.5
19.25
20.25
17
5.125
2.25
3.375
3.875
3.75
3.125
3.125
3.25
2.25
1.5
1.125
0.75
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
0
0
0.125
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
0.125
0.625
0.375
0.625
1.75
2.25
0.625
0
0
0
0
0
0
0.25
1.25
1.25
1.125
1.5
0.5
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
0.125
0.25
0.25
0.375
0.625
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0
0.125
0.5
0.25
0.125
0.625
0.75
1
2.125
0.5
0.25
0.25
0.375
0.375
0.375
0.375
0.375
0.25
0.125
0.125
0
0.75
0.875
0.375
1.25
3.5
11.125
17.625
19.25
20.25
19.75
8.25
2.5
3.875
3.625
2.75
3
3
3.125
2.5
1.375
0.875
0.625
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
0
0.125
0.125
0
0
0
0.125
0.625
0.25
0
0
0
0
0
0
0
0
0
0
0.125
0.5
0.25
0.125
0.125
0
0
0.125
0.125
0.125
0.125
0
0.375
0.5
0.5
1
0.625
0
0
0
0
0
0
0
0.125
0.625
0.375
0.5
0.125
0
0
0
0
0
0.125
0.25
0.5
0.375
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
0.125
0.125
0.125
0.25
0.25
0.375
0.5
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0.125
0
0
0.375
0.5
0.25
0.375
1.375
1.125
1.875
2.25
1.125
0.25
0.25
0.5
0.375
0.375
0.25
0.25
0.25
0.125
0
0
1
1.5
0.625
1.375
3.125
12.25
18.5
19.125
20.625
19.5
8.875
2.625
3.5
4.375
2.25
2.375
2.5
3
3.125
1.5
0.875
0.75
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
0
0
0
0
0
0
0
0
0
0.5
0.625
0.5
0.125
0
0
0
0
0
0
0
0
0
0.375
0.875
0.875
0.5
0.375
0
0
0
0
0
0
0
0.625
0.375
0.25
0.625
1.75
1
0.125
0
0
0
0
0.125
0.125
0.375
0.125
0.125
0
0
0
0
0.125
0.375
0.625
0.625
0.625
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
0
0
0
0
0
0
0.125
0.125
0.125
0.375
0.25
0.5
0.625
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0.125
0
0.125
0.25
0.375
0.375
0.875
2.625
1.5
2.25
3.625
2.375
0.625
0.25
0.125
0.25
0.25
0.375
0.25
0.125
0.125
0
0.125
1.125
1.875
0.75
1.25
2.75
11.625
19.625
19.125
20.25
19
11
3.25
2.625
4.375
2.375
2.375
2.625
3.125
3.25
1.625
0.875
0.875
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
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.625
0.875
0.75
0.375
0
0
0.375
0.25
0
0
0
0
0
0.625
2
2.125
0.875
0.25
0
0
0
0
0
0
0.125
0.625
0.25
0.25
0.75
1.375
1.375
0.25
0
0
0
0
0
0
0.125
0.25
0.375
0
0
0
0.375
1.375
1.625
1
1.125
0.625
0.25
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
0.125
0.25
0.25
0.375
0.375
0.5
0.375
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0.25
0.125
0.5
1
1.5
3.125
2.625
3.5
5.625
2.5
0.875
0.25
0.125
0.25
0.25
0.25
0.25
0.125
0
0
0.25
1.625
1.875
0.875
1
3
10
19.75
18.625
17.75
17.875
12.375
3.625
2.375
4.125
2.75
3.375
2.75
3.25
3.5
1.75
0.75
0.75
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
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0.5
1
0.875
0.625
0
0.125
0.75
1
0.375
0
0
0.125
0.25
0.25
1
0.875
0.375
0.125
0
0
0
0
0
0
0.125
0.375
0.25
0.5
1
1.125
1
0.25
0
0
0
0
0
0
0
0
0.125
0.125
0
0.375
1.5
3.25
1.625
1.25
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
0.125
0.25
0.25
0.375
0.375
0.625
0.375
0.125
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0.125
0
0.25
1
3
3.25
6.875
7.75
7
1.625
0.375
0.25
0.125
0.125
0.25
0.25
0.25
0
0
0
0.375
1.875
1.875
0.75
1
2.875
7.5
16.875
17.75
15.75
16.5
13.25
4.375
2.25
2.875
2.25
3.5
4.875
3.625
3.5
1.5
0.75
0.75
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
0.125
0.125
0.125
0.125
0.25
0.25
0.25
0.125
0
0
0
0
0
0
0
0.125
0.5
1.125
1
0.875
0.125
0.75
2.875
2.875
1.25
0.25
0.25
0.25
0.125
0.875
0.75
0.375
0.5
0.5
0
0
0
0
0
0
0
0.25
0.125
0.125
0.75
0.625
0.5
0
0
0
0
0
0
0
0
0
0
0
0.125
1.625
3
1.625
0.625
0.25
0.125
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
0.125
0.125
0.25
0.375
0.5
0.75
0.25
0.125
0.125
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0.25
0.625
1.5
3
3.75
5.75
10.875
9.375
8.625
1.5
0.625
0.375
0.25
0.25
0.25
0.125
0.125
0
0
0
0.375
2
2.25
0.5
1.5
2.75
6.125
15.625
17.375
14.25
14.75
13.125
5.5
2.25
2.25
2.625
3.75
4.5
4.125
3.5
1.375
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
0.125
0.125
0
0
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
0.5
1
1.125
1
1.375
2
3.5
1.875
1
0.5
0.375
0.375
0.75
1.625
0.875
1.75
1
0.25
0.625
0.125
0
0
0.125
0
0
0
0
0.125
0.75
0.5
0.125
0
0
0
0
0
0
0
0
0
0.5
0.5
0.875
3.375
1.375
0.25
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
0.25
0.5
0.625
0.5
0.25
0.25
0.25
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0.125
0.375
0.875
1.5
3
4.625
8.875
11.5
10.5
8.375
2
1.25
0.75
0.375
0.25
0.25
0.125
0
0
0
0
0.25
1.75
2.375
1.875
1.375
2.625
4.375
11.375
17.25
14.125
13
12.25
6.625
2.625
2
3.125
4.375
5.625
4.75
3.375
1.25
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
0.125
0.125
0.125
0.125
0.125
0
0.125
0.125
0.125
0.125
0.25
0.375
0.375
0.125
0
0
0
0
0
0
0.375
0.875
1.375
2.25
3.125
3
4
4
2.25
0.75
0.625
0.75
0.625
0.5
2.125
2.375
0.625
0.625
1.75
0.75
0.25
0.125
0
0
0
0
0
0.125
0.125
0
0.125
0
0
0.125
0
0
0
0
0
0
0.5
0.75
2.875
3.125
0.5
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0.125
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
0.25
0.75
0.625
0.375
0.25
0.25
0.375
0.375
0.25
0.125
0
0
0
0
0
0
0
0
0.25
0.5
0.75
1.375
4.25
6.375
10.75
13.5
9
7.875
2.875
1.875
1.5
1
0.625
0.25
0.25
0
0
0
0
0.25
1
2.25
1.625
1.25
2.25
3.125
4.375
14
15.75
12.625
10.5
7.5
3.25
2.125
3.125
4.625
4.875
5.25
3.25
1.375
0.875
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
0.125
0.125
0.125
0
0
0
0.25
0.375
0.375
0.5
0.75
0.625
0.25
0
0
0
0
0
0.125
0.75
2.5
4.875
4.875
3.625
5.625
4.75
3
2.25
1.875
1
0.375
0.25
0.75
1.125
0.25
0
0.25
0.125
0
0.375
0.375
0
0
0
0
0
0
0
0.125
0.125
0
0.125
0
0
0
0
0
0
0.125
1.125
1.875
0.5
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.375
0.625
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0.625
0.5
0.5
0.25
0.25
0.5
0.375
0.25
0.125
0
0
0
0
0
0
0.125
0.125
0.25
0.875
1.375
1.75
4.75
6.625
9.75
12.75
12.5
10.5
4.625
3.375
2.75
2.125
1.375
0.5
0.125
0
0
0
0
0.375
0.75
2.125
1.625
0.875
1.5
2.5
1.875
8.5
15.625
14.25
9.625
7.875
5.125
3
3.5
4.875
4.75
5.375
3.5
1.625
1.125
0.875
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
0
0
0.125
0.5
0.75
0.875
1.125
1.125
0.75
0.25
0
0
0
0
0.25
1.125
5.125
9.5
6.5
3.25
4.375
2.625
3.875
3.875
2.625
1.375
0.625
0.25
0.5
0.125
0
0.125
0
0
0.25
0.125
0
0
0
0
0
0
0
0
0.125
0.25
0.125
0.125
0
0
0
0
0.125
0
0.375
1.125
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.375
0.75
1.125
0.875
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0.625
0.375
0.375
0.25
0.5
0.625
0.5
0.25
0
0
0
0
0
0
0
0
0.125
0.125
0.875
1.875
3.25
7.75
8.625
10
13.75
13.125
11.5
7.125
5.5
4.125
3.375
2.25
1.125
0.25
0.125
0
0
0.125
0.5
0.625
1.875
1.75
0.875
0.875
1.75
0.875
2.25
10.5
14.375
10.75
8.125
6.875
4.25
4.125
5.125
5.375
4.5
3.75
2
1.5
1.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0
0
0
0
0
0.125
0.25
0.875
1.25
1.25
1.75
2
1.375
0.375
0.125
0.125
0.25
0.875
2
8.5
12
8.625
5.5
7.625
6.625
6.125
5.5
3.25
1.75
1
0.75
0.375
0
0
0.125
0.125
0
0.125
0.25
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.125
0
0
0
0
0.125
0
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
1.125
1.625
1.5
0.75
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.75
0.75
0.625
0.75
0.5
0.625
0.75
0.5
0.125
0
0
0
0
0
0
0
0
0
0.125
0.625
2
2.875
6.25
6.375
8.375
10.5
12.25
10.125
9.125
8.25
5.625
3.875
3
2.25
1.125
0.375
0
0
0.125
0.5
0.625
1.5
1.625
0.875
0.875
1.375
0.75
0.625
2.75
8.25
10.25
8.625
8
6.75
4.875
5.375
5.5
4.875
4.25
3
2.25
1.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0
0
0
0.125
0.125
0.75
1.75
2.125
2.25
2.625
2.625
1.75
1.375
1.5
1.25
1.5
3.25
10.375
11.25
6.125
5.875
10
8.75
7.75
6.25
3.25
2.625
1.875
0.625
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.375
0.25
0
0
0
0.125
0.125
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0.125
0.875
2
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
0.25
0.875
0.875
0.375
0.75
0.625
0.875
0.875
0.375
0
0
0
0
0
0
0
0
0
0
0
0.375
1.375
1.125
2.25
2.875
5.5
10.5
11.375
9.25
8
8.5
6
4
3.5
3
2.25
0.875
0.25
0.125
0.25
0.375
0.5
1.125
1.5
0.75
0.75
1
0.875
0.75
1
3
6.375
7.625
7.625
8.625
6.875
5.875
6.125
6.25
5.625
4.375
3.375
2.375
0.125
0.25
0.375
0.125
0.125
0.125
0.125
0
0
0
0
0.5
0.625
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.125
0
0.125
0.125
0.375
1.25
2.625
3.625
4.5
5.5
5.375
4.75
5
5.125
4.625
5.25
10.125
12.375
10
10
13.625
10.5
7
4.875
4.5
4.125
2.375
0.75
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.25
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
1.5
2.25
1.5
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
0.375
0.75
0.75
0.75
0.75
0.875
0.875
0.875
0.125
0
0
0
0
0
0
0
0
0
0
0
0.25
1.25
2
3.625
3.125
4.625
8.75
10.5
9.625
7.375
6.75
5.125
4.25
3.875
3.625
2.875
2
0.75
0.25
0.25
0.375
0.625
0.75
1.25
0.875
0.875
1
1.125
1.25
1.5
2.5
4.125
6.125
6.625
8.625
8.75
7.5
7.875
7.75
6.625
5.375
4.25
3.375
1.875
1.75
0.875
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
0.25
0.25
0.125
0
0.125
0.25
0.375
1.125
2.125
3.625
4.625
5.375
5.75
5.5
5.625
6.625
7.75
9.875
12
8.875
11.125
13.125
11.125
7
5.875
5.375
4.25
2.25
0.625
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
0.125
0.625
1.75
1.75
1
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0.75
1
1.125
1
1
1.25
0.75
0
0
0
0
0
0
0
0
0
0
0
0
0.125
1
2.125
3.25
3.25
3.125
3.25
8.75
11
7.5
4.5
4.625
4.5
4.125
3.875
3.5
2.75
1.875
0.75
0.375
0.375
0.5
0.75
0.875
0.875
1
1.25
2.125
2.625
2.75
3.5
4.875
5.875
7
8.125
10
9.375
9.25
8.625
7.125
6
5.25
4.625
1.25
1
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
0.125
0.25
0.25
0.125
0.125
0.25
0.5
0.75
1
1.5
2.125
2.75
3.25
3.25
3.5
4.875
7
8.5
11.375
11.125
11.375
11.75
11.125
7.375
6.25
5.375
3.625
1.875
0.625
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
0.375
1.25
1.625
1.375
0.75
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.625
1
1.5
1
0.75
1.125
1.375
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0.875
1.875
2.75
3.625
3.25
5
9.5
9.625
8
3.125
6.125
7
4.25
3.75
3.375
3
2.625
2
0.875
0.625
0.75
0.875
0.875
1.125
1.625
2.375
3.625
4.625
5.125
5.875
6.75
7.375
8.25
8.875
10.75
11.625
11
10
8
6.5
5.875
5.625
0.875
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
0.125
0.5
0.75
0.75
0.5
0.625
0.625
0.75
1.25
1.75
2.25
2.875
3.125
3.125
3.25
4.25
6.375
8.875
11.5
11.75
9.75
9
8.625
6.125
4.125
3.625
2.375
0.875
0.25
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
0.125
0.875
1.25
1.5
1.125
0.625
0.25
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0.125
0
0
0
0
0
0.25
0.875
1.375
1.375
1
1
1.5
1.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
1.625
2.625
3.75
4.125
5.75
8.375
7.625
7.75
3.25
4
6.125
3.75
3.375
3
2.75
2.625
2.25
1.875
1.25
1.125
1.125
1.5
2.25
3.5
4.875
6.5
7.5
8.375
8.875
9.375
10.25
10.5
10.625
11.75
13
12.75
11.25
9
7.25
6.125
5.375
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
0.125
0.375
0.75
1
0.875
0.75
0.625
0.625
0.875
1.625
2.25
3.25
3.75
4.125
4.125
4.5
6.375
8.375
10.375
11.25
8.25
7.375
6.25
4.25
2.875
2
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
0.125
0.625
1.375
1.5
1.375
1.25
0.875
0.25
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
0.25
0.5
1.125
1.5
1.5
1.125
1.375
1.625
0.625
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.625
1.75
3
4.875
6
5.875
5.25
6.5
4.875
2.875
3.875
6.25
4.875
3.375
3.125
2.75
2.375
2.375
2.125
1.875
1.75
2.375
4
5.875
7.75
9.5
11.5
12.375
11.75
11.875
13
13.125
12.5
12.5
13.625
13.375
11.375
9.125
7.375
5.625
4.5
0.25
0.125
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
0.25
0.625
0.625
0.25
0.375
0.25
0.875
0.75
1
1.5
2.125
2.875
4
4.625
5.25
6.5
7.625
8.375
8.75
6.625
4.375
4
3.125
2
0.875
0.125
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
0.125
0.125
0.125
0.125
0.25
0.5
0.5
1.375
1.875
1.625
1.75
1.625
0.875
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
0.5
0.375
0.5
0.25
0.5
0.75
1.125
1.375
1.125
1
1.375
1.125
0.25
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
1.25
2.625
3.875
3.625
3
4.5
4.375
2.75
3.75
7.375
6.75
5.375
4.375
3.875
4
4.125
3.75
3.375
2.875
3.625
5.125
8
10.375
13.5
15.625
16.375
15.75
14.875
15.125
15.125
14.25
13.25
13.625
13.25
11.25
8.875
7
5.125
3.5
0
0
0
0
0
0
0
0
0
0
0
0.125
0.625
0.625
0.5
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0.375
0.375
0.5
0.375
0.125
0.125
0.5
0.625
1.125
1.625
2
3.125
4.125
5.25
6.375
6.875
7
6.875
5.25
3
2.625
2.375
1.25
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
0.25
0.25
0.125
0.375
0.5
0.875
1.25
1.625
2.25
2.25
2.125
2.375
1.625
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.375
0.5
0.625
1
1.25
1.125
0.875
1
1
0.625
0.125
0.125
0.25
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
1.375
3.375
3.625
2.75
2.875
2.875
2.625
4.5
7
7.875
7.875
7
5.875
6.125
5.75
5.625
5.625
5.125
5.25
6.875
9.75
12.75
16.375
19.25
20.625
20.625
18.875
17
16.25
15.75
14.25
12.875
11.875
10.375
8.25
6.25
4.25
2.5
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.75
1.5
1.25
0.5
0.125
0
0
0
0
0
0
0
0
0
0
0.25
0.25
0.25
0.25
0.25
0
0
0.25
1
1.875
2.875
3.875
5
6.125
6.5
6.75
6.375
5.25
4.625
2.75
1.875
1.375
0.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0.125
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.375
0.375
0.875
1.125
1.375
2
2.375
2.75
2.75
3.125
2.75
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.5
1
1.25
1.25
1.125
1.125
1.25
1
0.5
0.25
0.625
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.75
2.25
3.25
2.5
1.625
2.125
2.75
3.625
5.375
6.625
8.375
8.75
7.75
8.375
8.125
8.125
8.25
7.5
6.5
8.375
11.25
14.75
19.125
21.625
23.75
23.625
21.875
19.25
17.125
15.875
14.625
13
11.375
9.375
7.625
5.625
3.375
1.875
0
0
0
0
0
0
0
0
0
0.75
0.375
0.875
0.125
0.125
0.125
0.125
0.25
0.625
0.75
1.125
1.25
1
0.125
0
0
0
0
0
0.125
0.125
0.375
0.25
0
0
0.125
0.25
0.75
1.625
2.75
4.25
5.125
5.875
6.125
5.25
4.25
3.625
4.375
3
1.375
0.625
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0.25
0.125
0.125
0.25
0.875
1.875
1.875
2
2.375
2.875
2.875
2.875
3.125
1.625
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.5
0.875
1.25
1.375
1.25
1.25
1.375
1.25
1
0.75
1
1.125
0.75
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
1
2.125
2
1.75
2.5
2.75
2.375
3.75
5.5
7
8.5
9
9.25
10.375
11.875
12.375
11.5
10
8.875
10.5
13.375
18.375
23.125
25.75
24.75
23.125
21
19.25
17
14.875
13.125
11
8.875
6.875
4.875
2.75
1.375
0
0
0
0.125
0.875
0.875
0.875
0.5
0.25
1.125
0.625
0.125
0
0.125
0.375
0.5
0.875
1
1.625
1.75
1.375
0.875
0.25
0
0
0
0
0
0
0.125
0.375
0.625
0.375
0.25
0.375
0.625
1.125
1.625
2.625
4.25
5
5.5
4.75
3.5
2.625
2.5
2.625
2
0.875
0.375
0.125
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
0.125
0.125
0.25
0.125
0.375
1.375
1.875
2
2.25
2.625
2.75
2.875
3.375
2.75
0.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.625
0.875
1.125
1.375
1.375
1.125
1.375
1.625
1.375
1.25
1.125
1.125
1.25
0.75
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.375
1.25
1.625
1.75
2.375
2.25
2
3.375
4.5
6
7.875
9.5
10.375
12.125
13.625
14.125
15.125
17.125
14.75
13.75
15
16.75
22.375
27.625
27.125
24.875
22.75
20.625
18.125
15.375
12.875
10.75
8.375
6.125
4
2.25
1.125
0.25
0.25
1.5
3.5
3.375
2.5
0.875
0.125
0
0.125
0.375
0
0
0
0.25
0.5
0.5
0.5
0.625
0.75
1.75
1.375
1
0.5
0.5
0.125
0
0
0
0.125
0.25
0.75
0.875
1.125
1.25
1.875
1.875
2
2.375
3.375
4.125
3.75
2.875
2.125
1.875
1.5
1
0.5
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0.25
0.875
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.5
0.875
1
1.375
2.25
2.625
2.875
3.375
3.25
1.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.75
1.375
1.75
1.75
1.5
1.125
1.5
1.875
1.5
1.25
1.125
1.25
1.375
0.5
0.125
0
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.5
0.5
0.875
1.875
3
3.875
3.75
5
7.125
8.5
7.75
10.25
14.125
16.25
16.875
18.75
19
17.5
18.125
18.75
20.25
24.75
26.875
25.5
22.125
20.25
17.5
14.75
12
9.625
7.375
5.125
3.125
1.75
0.75
0.75
2.875
4.625
3.5
1.25
0.375
0.125
0
0
0
0
0
0
0
0
0.25
0.5
0.875
1.5
2.125
2.625
2.875
2.875
2.25
1.375
0.375
0.125
0.125
0
0.125
0.375
0.75
1
1.5
1.875
2.375
2.625
2.625
3
3.125
2.875
2.125
1.5
1.125
1.125
0.75
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5
1.625
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.5
1.375
2.25
2.875
3.375
3.375
1.875
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.5
1.25
1.625
2
1.875
1.375
1.5
1.5
1.5
1.375
1.125
1.25
1.25
0.25
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
1.5
3.375
3.625
3.5
4.5
6
6
5
7.5
12.125
15.375
17.5
19.875
21.25
20.625
20.375
19.875
19.125
19.5
20.75
22.875
19.25
17.5
15.375
12.625
10.25
7.5
5.375
3.625
2.25
1.125
0.25
1.5
2
1.375
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.375
0.75
1.125
1.25
1.625
1.75
1.75
1.25
1
0.5
0.125
0
0.125
0.375
0.625
1
1.5
2.375
3
3.75
4.125
3.875
3.375
2.625
1.625
0.875
0.75
0.5
0.125
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0.375
1.625
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0
0.125
0.625
1.5
2.5
3
3
2
0.25
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
1.125
1.25
1.25
1.125
1.125
1.125
1.125
1.125
1.25
1.375
1.125
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
0.125
1.125
2.125
2.625
3.5
4.25
4.625
4.375
3.5
4.375
8.75
11.375
13.625
16.75
18
18.75
19.625
19.625
19.625
16.75
17
17.625
15.625
13.75
11.5
9
6.75
4.875
3.375
2.125
1.125
0.375
0
0.125
0.375
0.625
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.75
1.375
2.125
3
3.25
2.75
2
1.25
0.375
0
0.125
0.375
0.625
1.125
1.625
2.375
5.125
6.375
6.875
5.75
4
3
1.5
0.75
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0.125
0
0
0
0.375
1.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.125
0.125
0.125
0.625
1.375
2
2.375
2
0.5
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
0.75
0.875
1
1.25
1.25
1.125
1
1.125
1.375
1.25
1.5
1.5
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
0.375
0.625
1.375
2.625
3.25
3
3.375
2.875
3
6.125
7.875
8.875
9.625
10.25
11.5
12.625
13.125
13.25
12.25
11
10.875
10.375
7.75
6.5
5.125
3.875
2.75
1.75
1
0.25
0
0
0.375
0.75
0.125
0.375
0.375
0.25
0.125
0
0
0
0
0
0
0
0
0
0.25
0.125
0.25
0.5
1.125
2
2.625
2.625
2.5
2
1.375
0.375
0
0
0.25
0.625
1.375
2
3
6.125
8.625
8.75
7.25
5.5
4
2.25
0.875
0.125
0
0
0
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.375
0.5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0
0.25
0.75
1.25
1.75
1.75
0.625
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0.75
0.875
1.125
1.375
1.5
1.25
1.125
1.375
1.5
1.625
1.625
1.625
1.125
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
0.125
0.125
0.375
1
1.75
2.25
2.75
2.625
2.375
4.25
4.875
4.875
4.375
4.125
4.625
5.125
5.75
6.125
5.875
4.875
4.875
6.25
3.75
3.625
2.875
2
1.25
0.625
0.25
0
0
0
1.75
1
0.375
0.75
0.375
0.125
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.5
1.125
1.875
2.125
1.875
1.75
1.5
1.125
0.5
0
0
0.125
0.625
1.375
2.375
3.75
6.125
8.5
9.125
8.125
6.625
4.375
2.25
0.5
0
0
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.75
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0.125
0.125
0.5
0.875
1.125
1.25
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
0.125
0.375
0.625
0.875
1.125
1.375
1.5
1.375
1.25
1.5
1.625
1.625
1.625
1.5
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
0.125
0.125
0.125
0.875
1.5
2.25
2.25
2.375
3.25
2.875
3
2.875
2.5
2.375
2.375
2.625
2.625
2.5
2.125
1.625
3
2
2.125
1.75
1
0.375
0.125
0
0
0
0
0.375
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0.125
0.125
0.125
0.375
0.75
1.625
2.25
2.125
2.125
1.875
1.75
1.125
0.375
0
0
0.125
0.5
1.5
3
4.625
6.5
8.25
8.875
8.125
6.125
3.5
1.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0.125
0
0.125
0
0.125
0.625
0
0
0
0
0
0
0
0
0
0
0.125
0
0
0
0
0
0
0
0.125
0.375
0.625
0.75
0.875
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
0.125
0.375
0.5
0.75
1
1.25
1.375
1.25
1.375
1.5
1.625
1.5
1.625
1.375
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
0.125
0.125
0.125
0
0.125
0.5
1.125
1.25
1.625
1.75
1.375
2
2.375
2.25
2.125
2
1.75
1.75
1.625
1.5
1.25
1.375
1
1
0.75
0.375
0.125
0
0
0
0
0
0
0
0
0.125
0.125
0.625
0.25
0.25
0.25
0.25
0
0
0
0
0
0.125
0.125
0.375
0.75
1.5
2.625
3.125
3.625
3.375
2.75
1.875
1.75
0.625
0
0
0.125
0.5
1.25
3.375
5.625
7.25
8.375
8.875
8.5
6.25
2.5
0.5
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0.125
0.125
0
0
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.375
0.5
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
0.125
0.375
0.5
0.875
1.25
1.375
1.25
1.125
1.25
1.5
1.75
1.75
1.5
1.375
1.125
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
0.125
0.5
0.875
1
1.125
1.625
1.75
1.75
1.75
1.75
1.625
1.5
1.375
1.125
0.875
0.875
0.625
0.375
0.25
0.125
0
0
0
0
0
0
0.125
0.125
0
0
0.125
0.375
0
0.125
0.125
0.125
0
0
0
0
0.125
0.125
0.125
0.375
1.25
1.5
1.25
1.375
1.5
2.125
2.375
1.375
0.625
0.25
0
0.125
0.25
0.625
1.375
4
7.25
9.625
9.875
9.5
8.5
6
2.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
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
0.125
0.125
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
0.25
0.5
0.75
1.125
1.25
1.375
1.375
1.25
1.375
1.5
1.625
1.75
1.375
1.125
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
0.125
0.5
0.75
1
1.25
1.125
1.125
1.25
1.25
1.25
1.25
1
0.75
0.625
0.5
0.5
0.25
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
0.125
0.375
0.5
0.375
0.875
1.875
2.25
2.25
1.75
1
0.25
0
0
0
0
0.125
0.5
0.875
2.125
5.125
8.5
10.75
10.625
9.875
8.125
5
1.5
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0
0
0
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
0.125
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
0.125
0
0.125
0.25
0.625
1.125
1.375
1.375
1.5
1.625
1.625
1.5
1.5
1.5
1.25
1.25
1.25
1.125
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
0.125
0.25
0.375
0.5
0.625
0.625
0.875
0.875
0.875
0.875
0.625
0.5
0.375
0.25
0.25
0.25
0.125
0.125
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0.125
0.625
0.875
0.625
0.5
0.375
0.75
1.875
2.875
2.75
1.625
0.25
0
0
0
0.25
0.875
1.5
3.375
6.625
9.5
10.625
10.625
9.625
7.5
3.875
0.625
0
0
0.125
0.25
0.125
0
0
0.125
0.25
0.375
0.375
0.375
0.5
0.375
0
0
0
0
0
0
0.25
0.5
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.125
0.25
0.5
0.875
1.125
1.125
1.375
1.625
1.625
1.625
1.375
1.25
1.125
1
0.75
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
0.125
0.25
0.375
0.5
0.625
0.625
0.625
0.375
0.25
0.25
0.125
0.125
0
0
0
0
0
0
0.125
0.125
0.125
0.25
0.25
0.125
0.125
0
0
0
0
0
0
0
0.125
0.5
0.75
0.5
0.25
0.125
0
0.125
0.625
1.375
1.5
0.875
0
0
0
0.375
1
2.375
4.625
7.625
9.75
10.125
9.75
8.625
6.5
2.375
0.125
0
0
0.125
0.25
0.125
0
0
0.25
0.375
0.25
0.5
0.5
0.75
0.25
0
0
0
0
0.125
0.125
0.25
0.875
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
0.125
0.25
0.375
0.25
0.25
0.375
0.625
0.75
0.875
1.125
1.25
1.25
1.25
1.125
0.875
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
0.125
0.375
0.375
0.375
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.25
0.125
0.125
0.125
0.125
0
0
0
0.125
0.25
0.375
0.625
0.5
0.375
0.25
0.25
0
0.375
0.125
0.125
0.125
0
0
0
0
0.375
1.25
3
5.75
8.125
9.75
9.625
8.5
7.375
4.625
1.25
0
0
0.125
0.25
0.125
0.125
0.125
0.25
0.25
0.25
0.25
0.25
0.125
0
0
0
0
0
0
0.125
0.125
0.25
0.375
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
0.25
0.375
0.375
0.375
0.375
0.5
0.625
0.75
0.875
1
1
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
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
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
0
0
0.375
0.375
0.5
0.625
0.75
0.375
0.375
0.25
0.25
1.125
1.375
0.625
0.125
0
0
0
0.375
0.75
1.625
3.875
6.5
8.625
9.25
8.625
7.5
5.875
3
0.625
0
0.125
0.25
0
0.25
0.125
0.375
0.375
0.375
0.25
0.25
0.25
0.125
0
0
0
0
0
0
0.25
0.25
0.25
0.125
1.125
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
0.25
0.375
0.375
0.375
0.375
0.5
0.625
0.75
0.75
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
0
0
0
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
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.5
0.625
0.625
0.75
0.875
1
0.625
0.25
0.125
0.125
1.25
0.75
0.125
0
0.375
1.125
1.875
2.875
4.875
7.25
8.5
8.625
7.75
6.375
4.25
2
0.5
0
0.125
0.125
0.25
0.25
0.375
0.5
0.625
0.625
0.25
0.375
0.125
0
0
0
0
0
0
0
0
0.25
0.375
0.875
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.375
0.375
0.375
0.375
0.5
0.625
0.5
0.5
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
0.125
0.125
0
0
0
0
0
0
0
1
0.75
0.125
0.125
0.125
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.375
0.75
0.75
0.625
1
1.625
1.5
0.625
0.125
0
1
2.125
0.125
0.125
1
2.25
3
4.125
6.25
7.875
8.25
8.125
7.125
5.25
3
1.5
0.5
0
0.125
0
0
0.25
0.25
0.375
0.625
0.75
0.5
0.125
0
0
0
0
0
0
0
0
0.125
0.25
1.125
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
0.125
0.375
0.375
0.375
0.25
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
0.125
0.125
0
0
0
0
0
0
0
1
1.5
0.875
0.25
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0
0
0.125
0.375
0.625
0.625
1.5
1.75
1.5
1.5
0.5
0
0.125
0
0
0.375
1.375
2.875
3.625
5.125
7.625
8.625
8.125
7.375
6.25
4.375
2.5
1.375
0.5
0
0
0
0.125
0.375
0.375
0.25
0.375
0.25
0
0
0
0
0
0
0
0
0
0
0.125
0.5
1.375
0.875
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
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.25
0.75
0.625
0.5
0.25
0.125
0.125
0.125
0
0
0
0
0
0
0
0.125
0.375
1.25
2.125
1.25
1.25
0.875
0.125
0
0
0
0.25
1.25
2.625
4.125
5.75
8.5
9.125
7.875
6.5
5.125
3.5
2.125
1.25
0.375
0.125
0
0
0.125
0.75
0.625
0.625
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0.25
0.75
0.5
0.5
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
0.125
0.125
0.25
0.375
0.625
0.25
0.125
0.125
0
0
0
0
0
0
0
0.125
0.125
0.5
2.125
1.875
1.25
1.75
1.5
0.375
0
0
0.125
1.125
2.875
4.5
6.25
8.75
8.75
6.75
5.25
4
2.875
1.625
0.875
0.125
0
0
0
0
0
0.25
0.125
0
0
0
0
0
0
0
0
0
0.125
0.125
0
0.125
0.5
0.125
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
0.125
0.125
0.125
0.25
0.25
0.25
0.25
0.125
0.125
0.125
0
0
0
0
0.125
0
0.125
0.125
1.125
2.875
1.375
3.375
5.125
1.625
1.125
1
0.75
2.875
4.75
5.25
6.125
8
7
5
3.625
2.75
1.875
1
0.375
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.25
0.125
0.25
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
0
0
0
0
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
0.25
0.375
0.125
0
0
0
0
0
0
0
0.125
0.125
1.5
3
2.5
3
1.25
1.5
1.625
2
3.875
7.625
7.875
7.25
7.5
5.25
3.5
2.375
2.125
2.5
1.25
0.375
0.25
0.25
0.125
0.25
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
1
0.875
0.125
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
0.125
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
0.125
0.125
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.25
0.125
0
0
0
0
0.125
0
0
0
0
0.125
2.5
7.125
5.5
2.25
0.875
1
1.125
2.875
7.625
10.25
8.875
7
4.125
3.375
1.875
2.125
3
1.125
0.375
0.75
1
1
1.125
1.25
0.5
0.125
0
0
0
0
0
0
0
0
0
0
0.25
1
1.25
0.125
0
0
0
0
0.375
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
0.125
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
0.25
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.375
0.5
0
0
0
0
0
0
0
0
0
0
0.25
5.125
9.625
3.75
1.75
1.25
1.375
2.625
5.875
9.125
9.25
6.5
3.375
3
2.375
3.125
3
1
1.125
1.25
1.375
1.875
1.875
1.125
0.5
0.125
0
0
0
0
0
0
0
0
0
0.25
0.875
1.25
0.625
0
0
0
0.125
0.25
0.75
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
0.125
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
0.875
0.875
0.25
0.25
0.125
0.125
0.125
0.25
0.625
0.5
0.25
0
0
0
0
0
0
0
0
0
0
0.75
5
2.75
1.5
2
2.5
3.125
5.375
7.875
8.5
6.5
3.375
3.25
2.375
4.5
3.875
2
2.625
2.625
2.25
2.875
2.375
1.375
0.625
0.125
0.125
0
0
0
0
0
0
0
0
0.625
1.625
0.875
0.125
0
0
0
0.25
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
0.125
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
0.125
0
0
0
0
0
0
0
0.5
0.5
0.375
0.375
0.25
0.125
0
0.375
0.25
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0.5
1.25
1.375
2.125
3.375
4.625
6
7.75
8
6.125
4
3.5
2.5
4
2.875
2.875
3.125
3.5
2.875
2
1.125
1
0.375
0.125
0
0
0
0
0
0
0
0
0.125
0.625
1.125
0.25
0
0
0
0
0.375
0.375
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
0.125
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
0.125
0
0
0
0
0
0
0.125
0.125
0
0.125
0.125
0.125
0
0
0.125
0.625
1.125
1.125
0.25
0
0
0
0
0
0
0
0
0
0
0.25
0.875
1.75
3.25
5.125
6.875
8.125
8
6.625
5.375
4.125
2.875
3.875
3.375
3.25
3
3.75
4.5
3
1.125
0.625
0.25
0
0
0
0
0
0
0
0
0
0.25
0.5
0.375
0
0
0
0
0.125
0.375
0.5
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
0.125
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
0.125
0.125
0.25
0.125
0
0
0
0
0.25
0
0
0.375
0.25
0.125
0.125
0
0
0.25
1
1.5
0.875
0
0
0
0
0
0
0
0
0
0
0
0.25
1
2.375
4
6.125
7.625
8
7
6.25
4.875
3.625
3.875
3.625
4
3.25
3.375
3.625
3.5
2
0.375
0.25
0.125
0
0
0
0
0
0
0
0
0.375
0.25
0.125
0
0
0
0
0.125
0.5
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
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
0.125
0.25
0.125
0
0
0
0
0.125
0
0
0.125
0.75
0.875
0.75
0.25
0
0
0.125
0.75
1.5
0.5
0
0
0
0
0
0
0
0
0
0
0
0.25
1
2.375
4.125
5.5
6.5
6.375
6
4.625
4
4.125
3.375
3.5
3.125
2.875
2.375
1.75
1.25
0.5
0.375
0
0
0
0
0
0
0
0
0
0.25
0.125
0.125
0.125
0
0.125
0
0.25
0.375
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
0.125
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
0.125
0
0
0
0.375
0.75
0.75
0.625
0
0
0
0.125
1.125
1.375
0.25
0
0
0
0
0
0
0
0
0
0
0
0.125
0.75
1.75
3
4.125
4.625
4.875
4.25
3.625
3.75
3.5
3.25
2.875
2.5
2.25
2
1.5
0.875
0.375
0
0
0
0.125
0.25
0
0
0
0.125
0.125
0.125
0.125
0
0
0
0.125
0.25
0.25
0.25
0.25
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
0.125
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
0.375
0
0
0
0
0
0
0
0
0
0
0
0.375
1.5
0.875
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0.875
1.625
2.5
2.875
3.125
3.25
3.5
3.75
4
3.25
2.125
1.375
0.625
0.25
0.5
0.125
0
0.125
0.125
0.125
0.25
0
0
0
0.125
0
0
0
0
0
0
0.125
0.25
0.375
0.375
0.5
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
0.125
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
1.625
0.25
0
0
0
0
0
0
0
0
0
0
0.125
1
1.5
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0.625
1
1.375
1.625
2
2.25
2.875
2.75
2.375
1.75
1.125
0.375
0
0
0.125
0.375
0.25
0.25
0.375
0.125
0
0
0.125
0
0
0
0
0
0
0.125
0.125
0.25
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
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
3.125
1.75
0.5
0
0
0
0
0
0
0
0
0
0
0.5
1.875
1.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.375
0.5
0.75
1.125
1.5
2.125
2.375
2.625
2
1.375
0
0.375
0.75
1
0.375
0.5
0.375
0
0
0
0.125
0
0
0
0
0
0
0
0.125
0.25
0.375
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3.875
3.25
1.875
0.5
0
0
0
0
0
0
0
0
0
0.5
1.875
1.625
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.375
0.5
1.375
2.125
2.75
1.875
1.25
0.375
1.125
0.625
0.375
0.25
0.5
0.125
0
0
0
0.125
0
0
0
0
0
0
0
0.125
0.25
0.375
0.375
0.375
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
0.125
0.125
0.125
3
3.5
3
1.625
0.375
0
0
0
0
0
0
0
0.25
0.75
1.75
1.5
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.5
1
2.125
3.375
1.625
0.375
0.625
0.5
0.5
0.75
0.25
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.375
0.25
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2.25
3
3.375
2.875
1.375
0.375
0
0
0
0
0
0
0.75
1.625
1.625
1
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.375
0.75
1.375
0.875
0.375
0.375
0.625
0.5
0.75
0.375
0.125
0.125
0
0.125
0.375
0
0
0
0
0
0
0
0
0.125
0.25
0.5
0.375
0.375
0.5
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
0.125
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
3.625
5.625
5.875
5
3
1.25
0.25
0
0
0
0
0
0.25
1.375
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
0.125
0.625
0.75
0.5
0.5
0.25
0.5
0.5
0.625
0.375
0
0
0
0
0.5
0.5
0
0
0
0
0
0
0
0
0.125
0.125
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
0.125
0.125
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
0.125
0
0
0
0
0
0
2
4.25
6.125
7.125
6.5
3.5
1.125
0.125
0
0
0
0.375
0.625
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
0.125
0.5
1.25
1.5
1
1.125
0.625
0.625
0.5
0.25
0
0
0.125
0.125
0.25
0.75
0.375
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0.125
0.125
0.125
0.125
0.125
0.25
0.25
0.125
0.125
0.125
0.125
0
0.125
1
1.75
3
4.25
5.875
5.5
2.5
0.375
0
0
0
0.375
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
0.25
1
2.5
1.25
1.5
0.625
0.875
0.5
0.125
0
0
0.25
0.25
0.125
0.25
0.75
0.25
0
0
0
0
0
0
0
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
0.125
0.125
0.125
0.125
0.125
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
0.25
0.25
0.25
0.25
0.375
0.375
0.375
0.625
1
1.875
2.75
3.5
4.75
4.125
1.75
0.375
0
0
0.125
0.875
0.5
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
0.625
2.625
2.375
0.625
0.5
0.375
0.25
0.125
0.125
0.125
0.125
0.375
0.125
0
0.125
0.375
0.125
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0.125
0.125
0.125
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.25
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.25
0.375
0.25
0.25
0.375
0.375
0.25
0.25
0.25
0.375
0.375
0.25
0.375
0.625
1.125
1.875
2.5
3.5
4.375
3.375
1.875
0.625
0
0.125
0.625
0.5
0.125
0
0
0
0
0
0
0
0.25
0
0
0
0
0
0
0
0.5
0.375
0
0
0
0.25
1
2.625
2.5
1.125
0.375
0.125
0.125
0.25
0.625
0.5
0.375
0.25
0
0
0.125
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
0.125
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
0.125
0.25
0.125
0.375
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.25
0.25
0.25
0.25
0.25
0.5
0.5
0.25
0.25
0.375
0.625
0.75
0.25
0.375
0.5
1
1.75
2.375
3.25
3.875
3.25
2.625
0.875
0
0.25
0.5
0.125
0
0
0
0
0.25
0.625
0.75
0.375
0.25
0
0
0
0
0
0
0.25
0.125
0
0
0
0.375
1.375
2.75
3.625
1.125
0.5
0.625
0.75
0.5
0.25
0.25
0.125
0
0
0
0
0
0
0
0
0
0
0
0.125
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
0.125
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.25
0.625
0.375
0
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.5
0.375
0.25
0.25
0.25
0.25
0.375
0.75
0.875
0.625
0.375
0.75
0.625
0.25
0.25
0.375
0.625
1.125
1.5
2.625
4
4.375
3.875
2.875
0.75
0.25
0.625
0.125
0
0
0
0
0.375
0.75
0.75
0.375
0
0
0
0
0
0
0
0
0
0
0
0
0.25
1.375
2.875
2.625
1.125
0.125
0.375
0.5
0.75
0.375
0.125
0.125
0
0
0
0
0
0
0
0
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
0
0
0
0
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
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
0.25
0.375
0.75
0.125
0
0
0
0
0
0
0
0
0
0
0.125
0.125
0.25
0.625
0.75
0.375
0.25
0.25
0.25
0.5
0.375
0.5
0.875
0.625
0.375
0.625
0.25
0.375
0.375
0.5
0.75
1.5
2.625
4
5.875
5.625
4.25
2.75
0.5
0.375
0.125
0
0
0
0.125
0.5
0.25
0.375
0
0
0
0
0
0
0
0
0
0.25
0.125
0.125
0.25
0.375
1.625
2.25
2.5
1.375
0.75
0.25
0.375
0.5
0.375
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
0
0
0
0
0
0
0
0
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
0.125
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
0.25
0.25
0
0
0
0
0
0
0
0
0
0
0.125
0.25
0.375
0.75
0.75
0.75
0.375
0.25
0.25
0.375
0.625
0.625
0.25
0.375
0.375
0.375
0.5
