xdy 0.9.0

0
=
0: 1

2147483647
=
2147483647: 1

2147483648
=
2147483647: 1

-2147483648
=
-2147483648: 1

-2147483649
=
-2147483648: 1

x: {x}
=
args: 0
0: 1
=
args: 1
1: 1
=
args: -1
-1: 1

{x}
=
externs: x=0
0: 1
=
externs: x=1
1: 1
=
externs: x=-1
-1: 1

x: {x} + 0
=
args: 0
0: 1
=
args: 1
1: 1
=
args: -1
-1: 1
=
args: 2147483647
2147483647: 1
=
args: -2147483648
-2147483648: 1

x: {x} + 1
=
args: 0
1: 1
=
args: 1
2: 1
=
args: -1
0: 1
=
args: 2147483647
2147483647: 1
=
args: -2147483648
-2147483647: 1

x: {x} + -1
=
args: 0
-1: 1
=
args: 1
0: 1
=
args: -1
-2: 1
=
args: 2147483647
2147483646: 1
=
args: -2147483648
-2147483648: 1

x: {x} + 5
=
args: 0
5: 1
=
args: 10
15: 1
=
args: -5
0: 1

x: {x} - 0
=
args: 0
0: 1
=
args: 1
1: 1
=
args: -1
-1: 1
=
args: 2147483647
2147483647: 1
=
args: -2147483648
-2147483648: 1

x: {x} - 1
=
args: 0
-1: 1
=
args: 1
0: 1
=
args: -1
-2: 1
=
args: 2147483647
2147483646: 1
=
args: -2147483648
-2147483648: 1

x: {x} - -1
=
args: 0
1: 1
=
args: 1
2: 1
=
args: -1
0: 1
=
args: 2147483647
2147483647: 1
=
args: -2147483648
-2147483647: 1

x: {x} - 5
=
args: 0
-5: 1
=
args: 10
5: 1
=
args: -5
-10: 1

x: {x} * 0
=
args: 0
0: 1
=
args: 1
0: 1
=
args: -1
0: 1
=
args: 2147483647
0: 1
=
args: -2147483648
0: 1

x: {x} * 1
=
args: 0
0: 1
=
args: 1
1: 1
=
args: -1
-1: 1
=
args: 2147483647
2147483647: 1
=
args: -2147483648
-2147483648: 1

x: {x} * -1
=
args: 0
0: 1
=
args: 1
-1: 1
=
args: -1
1: 1
=
args: 2147483647
-2147483647: 1
=
args: -2147483648
2147483647: 1

x: {x} * 5
=
args: 0
0: 1
=
args: 10
50: 1
=
args: -5
-25: 1
=
args: 2147483647
2147483647: 1
=
args: -2147483648
-2147483648: 1

x: {x} / 0
=
args: 0
0: 1
=
args: 10
0: 1
=
args: -5
0: 1
=
args: 2147483647
0: 1
=
args: -2147483648
0: 1

x: {x} / 1
=
args: 0
0: 1
=
args: 10
10: 1
=
args: -5
-5: 1
=
args: 2147483647
2147483647: 1
=
args: -2147483648
-2147483648: 1

x: {x} / -1
=
args: 0
0: 1
=
args: 10
-10: 1
=
args: -5
5: 1
=
args: 2147483647
-2147483647: 1
=
args: -2147483648
2147483647: 1

x: {x} / 5
=
args: 0
0: 1
=
args: 10
2: 1
=
args: -5
-1: 1
=
args: 2147483647
429496729: 1
=
args: -2147483648
-429496729: 1

x: {x} % 0
=
args: 0
0: 1
=
args: 10
0: 1
=
args: -5
0: 1
=
args: 2147483647
0: 1
=
args: -2147483648
0: 1

x: {x} % 1
=
args: 0
0: 1
=
args: 10
0: 1
=
args: -5
0: 1
=
args: 2147483647
0: 1
=
args: -2147483648
0: 1

x: {x} % -1
=
args: 0
0: 1
=
args: 10
0: 1
=
args: -5
0: 1
=
args: 2147483647
0: 1
=
args: -2147483648
0: 1

x: {x} % 5
=
args: 0
0: 1
=
args: 10
0: 1
=
args: -5
0: 1
=
args: 2147483647
2: 1
=
args: -2147483648
-3: 1

x: 0 ^ {x}
=
args: 0
1: 1
=
args: 1
0: 1
=
args: -1
0: 1
=
args: 2147483647
0: 1
=
args: -2147483648
0: 1

x: {x} ^ 0
=
args: 0
1: 1
=
args: 1
1: 1
=
args: -1
1: 1
=
args: 2147483647
1: 1
=
args: -2147483648
1: 1

x: 1 ^ {x}
=
args: 0
1: 1
=
args: 1
1: 1
=
args: -1
1: 1
=
args: -2
1: 1
=
args: 2147483647
1: 1
=
args: -2147483648
1: 1

x: {x} ^ 1
=
args: 0
0: 1
=
args: 1
1: 1
=
args: -1
-1: 1
=
args: 2147483647
2147483647: 1
=
args: -2147483648
-2147483648: 1

x: (-1) ^ {x}
=
args: 0
1: 1
=
args: 1
-1: 1
=
args: -1
-1: 1
=
args: 2
1: 1
=
args: 3
-1: 1
=
args: -2
1: 1
=
args: 2147483647
-1: 1
=
args: -2147483648
1: 1

x: {x} ^ -1
=
args: 0
0: 1
=
args: 1
1: 1
=
args: -1
-1: 1
=
args: 10
0: 1
=
args: 2147483647
0: 1
=
args: -2147483648
0: 1

x: {x} ^ 3
=
args: 0
0: 1
=
args: 1
1: 1
=
args: -1
-1: 1
=
args: 5
125: 1
=
args: -5
-125: 1
=
args: 10
1000: 1
=
args: -10
-1000: 1
=
args: 2147483647
2147483647: 1
=
args: -2147483648
-2147483648: 1

x: {x} ^ -3
=
args: 0
0: 1
=
args: 1
1: 1
=
args: -1
-1: 1
=
args: 5
0: 1
=
args: -5
0: 1
=
args: 10
0: 1
=
args: -10
0: 1
=
args: 2147483647
0: 1
=
args: -2147483648
0: 1

x: -{x}
=
args: 0
0: 1
=
args: 1
-1: 1
=
args: -1
1: 1
=
args: 2147483647
-2147483647: 1
=
args: -2147483648
2147483647: 1

[1:1]
=
1: 1

x: [1:{x}]
=
args: 0
0: 1
=
args: 1
1: 1
=
args: -1
0: 1
=
args: 5
1: 1
2: 1
3: 1
4: 1
5: 1
=
args: 10
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1
7: 1
8: 1
9: 1
10: 1
=
args: 50
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1
7: 1
8: 1
9: 1
10: 1
11: 1
12: 1
13: 1
14: 1
15: 1
16: 1
17: 1
18: 1
19: 1
20: 1
21: 1
22: 1
23: 1
24: 1
25: 1
26: 1
27: 1
28: 1
29: 1
30: 1
31: 1
32: 1
33: 1
34: 1
35: 1
36: 1
37: 1
38: 1
39: 1
40: 1
41: 1
42: 1
43: 1
44: 1
45: 1
46: 1
47: 1
48: 1
49: 1
50: 1
=
args: -2147483648
0: 1

x: [{x}:1]
=
args: 0
0: 1
1: 1
=
args: 1
1: 1
=
args: -1
-1: 1
0: 1
1: 1
=
args: 5
0: 1
=
args: 10
0: 1
=
args: 2147483647
0: 1

x, y: [{x}:{y}]
=
args: 0, 0
0: 1
=
args: 0, 1
0: 1
1: 1
=
args: 1, 0
0: 1
=
args: 1, 1
1: 1
=
args: 0, 5
0: 1
1: 1
2: 1
3: 1
4: 1
5: 1
=
args: -5, 10
-5: 1
-4: 1
-3: 1
-2: 1
-1: 1
0: 1
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1
7: 1
8: 1
9: 1
10: 1

x, y: [{x}:{y}] + 1
=
args: 0, 0
1: 1
=
args: 0, 1
1: 1
2: 1
=
args: 1, 0
1: 1
=
args: 1, 1
2: 1
=
args: 0, 5
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1
=
args: -5, 10
-4: 1
-3: 1
-2: 1
-1: 1
0: 1
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1
7: 1
8: 1
9: 1
10: 1
11: 1

x, y: [{x}:{y}] + [{x}:{y}]
=
args: 0, 0
0: 1
=
args: 0, 1
0: 1
1: 2
2: 1
=
args: 1, 0
0: 1
=
args: 1, 1
2: 1
=
args: 0, 5
0: 1
1: 2
2: 3
3: 4
4: 5
5: 6
6: 5
7: 4
8: 3
9: 2
10: 1

x, y: [{x}:{y}] - [{x}:{y}]
=
args: 0, 0
0: 1
=
args: 0, 1
-1: 1
0: 2
1: 1
=
args: 1, 0
0: 1
=
args: 1, 1
0: 1
=
args: 0, 5
-5: 1
-4: 2
-3: 3
-2: 4
-1: 5
0: 6
1: 5
2: 4
3: 3
4: 2
5: 1
=
args: -5, 10
-15: 1
-14: 2
-13: 3
-12: 4
-11: 5
-10: 6
-9: 7
-8: 8
-7: 9
-6: 10
-5: 11
-4: 12
-3: 13
-2: 14
-1: 15
0: 16
1: 15
2: 14
3: 13
4: 12
5: 11
6: 10
7: 9
8: 8
9: 7
10: 6
11: 5
12: 4
13: 3
14: 2
15: 1

x, y: [{x}:{y}] * [{x}:{y}]
=
args: 0, 0
0: 1
=
args: 0, 1
0: 3
1: 1
=
args: 1, 0
0: 1
=
args: 1, 1
1: 1
=
args: 0, 5
0: 11
1: 1
2: 2
3: 2
4: 3
5: 2
6: 2
8: 2
9: 1
10: 2
12: 2
15: 2
16: 1
20: 2
25: 1

x, y: [{x}:{y}] / [{x}:{y}]
=
args: 0, 0
0: 1
=
args: 0, 1
0: 3
1: 1
=
args: 1, 0
0: 1
=
args: 1, 1
1: 1
=
args: 0, 5
0: 21
1: 9
2: 3
3: 1
4: 1
5: 1

x, y, z: [{x}:{y}] % {z}
=
args: 0, 0, 0
0: 1
=
args: 3, 9, 4
0: 2
1: 2
2: 1
3: 2
=
args: 3, 9, -4
0: 2
1: 2
2: 1
3: 2
=
args: 3, 9, 10
3: 1
4: 1
5: 1
6: 1
7: 1
8: 1
9: 1
=
args: 3, 9, -10
3: 1
4: 1
5: 1
6: 1
7: 1
8: 1
9: 1
=
args: 14, 16, 10
4: 1
5: 1
6: 1
=
args: 14, 16, -10
4: 1
5: 1
6: 1
=
args: -20, -10, 4
-3: 3
-2: 3
-1: 2
0: 3
=
args: 10, 20, 4
0: 3
1: 2
2: 3
3: 3
=
args: -3, 7, 4
-3: 1
-2: 1
-1: 1
0: 2
1: 2
2: 2
3: 2
=
args: -3, 7, -4
-3: 1
-2: 1
-1: 1
0: 2
1: 2
2: 2
3: 2

x, y: [{x}:{y}] % [{x}:{y}]
=
args: 0, 0
0: 1
=
args: 0, 1
0: 4
=
args: 1, 0
0: 1
=
args: 1, 1
0: 1
=
args: 0, 5
0: 21
1: 8
2: 4
3: 2
4: 1
=
args: -5, 10
-5: 5
-4: 7
-3: 9
-2: 13
-1: 21
0: 100
1: 37
2: 24
3: 15
4: 10
5: 5
6: 4
7: 3
8: 2
9: 1
=
args: 2147483645, 2147483647
0: 3
1: 2
2: 1
2147483645: 2
2147483646: 1
=
args: -2147483648, -2147483645
-2147483647: 1
-2147483646: 2
-2147483645: 3
-3: 1
-2: 2
-1: 3
0: 4

x, y: [{x}:{y}] ^ [{x}:{y}]
=
args: 0, 0
1: 1
=
args: 0, 1
0: 1
1: 3
=
args: 1, 0
1: 1
=
args: 1, 1
1: 1
=
args: 0, 5
0: 5
1: 11
2: 1
3: 1
4: 2
5: 1
8: 1
9: 1
16: 2
25: 1
27: 1
32: 1
64: 1
81: 1
125: 1
243: 1
256: 1
625: 1
1024: 1
3125: 1
=
args: -5, 8
-78125: 1
-16384: 1
-3125: 1
-2187: 1
-1024: 1
-243: 1
-128: 1
-125: 1
-64: 1
-32: 1
-27: 1
-8: 1
-5: 1
-4: 1
-3: 1
-2: 1
-1: 7
0: 68
1: 33
2: 1
3: 1
4: 3
5: 1
6: 1
7: 1
8: 2
9: 2
16: 4
25: 2
27: 1
32: 1
36: 1
49: 1
64: 4
81: 2
125: 1
128: 1
216: 1
243: 1
256: 4
343: 1
512: 1
625: 2
729: 2
1024: 1
1296: 1
2187: 1
2401: 1
3125: 1
4096: 3
6561: 2
7776: 1
15625: 2
16384: 1
16807: 1
32768: 1
46656: 1
65536: 2
78125: 1
117649: 1
262144: 1
279936: 1
390625: 2
823543: 1
1679616: 1
2097152: 1
5764801: 1
16777216: 1
=
args: -7, 8
-823543: 1
-279936: 1
-78125: 1
-16807: 1
-16384: 1
-7776: 1
-3125: 1
-2187: 1
-1024: 1
-343: 1
-243: 1
-216: 1
-128: 1
-125: 1
-64: 1
-32: 1
-27: 1
-8: 1
-7: 1
-6: 1
-5: 1
-4: 1
-3: 1
-2: 1
-1: 8
0: 106
1: 38
2: 1
3: 1
4: 3
5: 1
6: 1
7: 1
8: 2
9: 2
16: 4
25: 2
27: 1
32: 1
36: 2
49: 2
64: 4
81: 2
125: 1
128: 1
216: 1
243: 1
256: 4
343: 1
512: 1
625: 2
729: 2
1024: 1
1296: 2
2187: 1
2401: 2
3125: 1
4096: 3
6561: 2
7776: 1
15625: 2
16384: 1
16807: 1
32768: 1
46656: 2
65536: 2
78125: 1
117649: 2
262144: 1
279936: 1
390625: 2
823543: 1
1679616: 2
2097152: 1
5764801: 2
16777216: 1
=
args: -8, 7
-2097152: 1
-823543: 1
-279936: 1
-78125: 1
-32768: 1
-16807: 1
-16384: 1
-7776: 1
-3125: 1
-2187: 1
-1024: 1
-512: 1
-343: 1
-243: 1
-216: 1
-128: 1
-125: 1
-64: 1
-32: 1
-27: 1
-8: 2
-7: 1
-6: 1
-5: 1
-4: 1
-3: 1
-2: 1
-1: 8
0: 119
1: 38
2: 1
3: 1
4: 3
5: 1
6: 1
7: 1
8: 1
9: 2
16: 4
25: 2
27: 1
32: 1
36: 2
49: 2
64: 4
81: 2
125: 1
128: 1
216: 1
243: 1
256: 2
343: 1
625: 2
729: 2
1024: 1
1296: 2
2187: 1
2401: 2
3125: 1
4096: 3
7776: 1
15625: 2
16384: 1
16807: 1
46656: 2
78125: 1
117649: 2
262144: 1
279936: 1
823543: 1

x, y: -[{x}:{y}]
=
args: 0, 0
0: 1
=
args: 0, 1
-1: 1
0: 1
=
args: 1, 0
0: 1
=
args: 1, 1
-1: 1
=
args: 0, 5
-5: 1
-4: 1
-3: 1
-2: 1
-1: 1
0: 1
=
args: -5, 10
-10: 1
-9: 1
-8: 1
-7: 1
-6: 1
-5: 1
-4: 1
-3: 1
-2: 1
-1: 1
0: 1
1: 1
2: 1
3: 1
4: 1
5: 1

0D0
=
0: 1

0D0 drop lowest 0
=
0: 1

0D0 drop lowest 1
=
0: 1

0D0 drop highest 0
=
0: 1

0D0 drop highest 1
=
0: 1

1D0
=
0: 1

1D0 drop lowest 0
=
0: 1

1D0 drop lowest 1
=
0: 1

1D0 drop highest 0
=
0: 1

1D0 drop highest 1
=
0: 1

0D1
=
0: 1

0D1 drop lowest 0
=
0: 1

0D1 drop lowest 1
=
0: 1

0D1 drop highest 0
=
0: 1

0D1 drop highest 1
=
0: 1

1D1
=
1: 1

1D1 drop lowest 0
=
1: 1

1D1 drop lowest 1
=
0: 1

1D1 drop lowest 2
=
0: 1

1D1 drop highest 0
=
1: 1

1D1 drop highest 1
=
0: 1

1D1 drop highest 2
=
0: 1

(-1)D1
=
0: 1

(-1)D1 drop lowest 0
=
0: 1

(-1)D1 drop lowest 1
=
0: 1

(-1)D1 drop highest 0
=
0: 1

(-1)D1 drop highest 1
=
0: 1

1D(-1)
=
0: 1

1D(-1) drop lowest 0
=
0: 1

1D(-1) drop lowest 1
=
0: 1

1D(-1) drop highest 0
=
0: 1

1D(-1) drop highest 1
=
0: 1

1D6
=
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1

1D6 drop lowest 0
=
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1

1D6 drop lowest 1
=
0: 1

1D6 drop lowest 2
=
0: 1

1D6 drop highest 0
=
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1

1D6 drop highest 1
=
0: 1

1D6 drop highest 2
=
0: 1

3D6
=
3: 1
4: 3
5: 6
6: 10
7: 15
8: 21
9: 25
10: 27
11: 27
12: 25
13: 21
14: 15
15: 10
16: 6
17: 3
18: 1

3D6 drop lowest 0
=
3: 1
4: 3
5: 6
6: 10
7: 15
8: 21
9: 25
10: 27
11: 27
12: 25
13: 21
14: 15
15: 10
16: 6
17: 3
18: 1

3D6 drop lowest 1
=
2: 1
3: 3
4: 7
5: 12
6: 19
7: 27
8: 34
9: 36
10: 34
11: 27
12: 16

3D6 drop lowest 2
=
1: 1
2: 7
3: 19
4: 37
5: 61
6: 91

3D6 drop lowest 3
=
0: 1

3D6 drop lowest 4
=
0: 1

3D6 drop highest 0
=
3: 1
4: 3
5: 6
6: 10
7: 15
8: 21
9: 25
10: 27
11: 27
12: 25
13: 21
14: 15
15: 10
16: 6
17: 3
18: 1

3D6 drop highest 1
=
2: 16
3: 27
4: 34
5: 36
6: 34
7: 27
8: 19
9: 12
10: 7
11: 3
12: 1

3D6 drop highest 2
=
1: 91
2: 61
3: 37
4: 19
5: 7
6: 1

3D6 drop highest 3
=
0: 1

3D6 drop highest 4
=
0: 1

{x}D{y}
=
externs: x=0, y=0
0: 1
=
externs: x=0, y=1
0: 1
=
externs: x=1, y=0
0: 1
=
externs: x=-1, y=1
0: 1
=
externs: x=1, y=-1
0: 1
=
externs: x=-1, y=-1
0: 1
=
externs: x=1, y=2
1: 1
2: 1
=
externs: x=2, y=2
2: 1
3: 2
4: 1
=
externs: x=3, y=2
3: 1
4: 3
5: 3
6: 1
=
externs: x=4, y=2
4: 1
5: 4
6: 6
7: 4
8: 1
=
externs: x=1, y=4
1: 1
2: 1
3: 1
4: 1
=
externs: x=2, y=4
2: 1
3: 2
4: 3
5: 4
6: 3
7: 2
8: 1
=
externs: x=3, y=4
3: 1
4: 3
5: 6
6: 10
7: 12
8: 12
9: 10
10: 6
11: 3
12: 1
=
externs: x=4, y=4
4: 1
5: 4
6: 10
7: 20
8: 31
9: 40
10: 44
11: 40
12: 31
13: 20
14: 10
15: 4
16: 1
=
externs: x=1, y=6
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1
=
externs: x=2, y=6
2: 1
3: 2
4: 3
5: 4
6: 5
7: 6
8: 5
9: 4
10: 3
11: 2
12: 1
=
externs: x=3, y=6
3: 1
4: 3
5: 6
6: 10
7: 15
8: 21
9: 25
10: 27
11: 27
12: 25
13: 21
14: 15
15: 10
16: 6
17: 3
18: 1
=
externs: x=4, y=6
4: 1
5: 4
6: 10
7: 20
8: 35
9: 56
10: 80
11: 104
12: 125
13: 140
14: 146
15: 140
16: 125
17: 104
18: 80
19: 56
20: 35
21: 20
22: 10
23: 4
24: 1
=
externs: x=1, y=8
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1
7: 1
8: 1
=
externs: x=2, y=8
2: 1
3: 2
4: 3
5: 4
6: 5
7: 6
8: 7
9: 8
10: 7
11: 6
12: 5
13: 4
14: 3
15: 2
16: 1
=
externs: x=3, y=8
3: 1
4: 3
5: 6
6: 10
7: 15
8: 21
9: 28
10: 36
11: 42
12: 46
13: 48
14: 48
15: 46
16: 42
17: 36
18: 28
19: 21
20: 15
21: 10
22: 6
23: 3
24: 1
=
externs: x=4, y=8
4: 1
5: 4
6: 10
7: 20
8: 35
9: 56
10: 84
11: 120
12: 161
13: 204
14: 246
15: 284
16: 315
17: 336
18: 344
19: 336
20: 315
21: 284
22: 246
23: 204
24: 161
25: 120
26: 84
27: 56
28: 35
29: 20
30: 10
31: 4
32: 1
=
externs: x=1, y=10
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1
7: 1
8: 1
9: 1
10: 1
=
externs: x=2, y=10
2: 1
3: 2
4: 3
5: 4
6: 5
7: 6
8: 7
9: 8
10: 9
11: 10
12: 9
13: 8
14: 7
15: 6
16: 5
17: 4
18: 3
19: 2
20: 1
=
externs: x=3, y=10
3: 1
4: 3
5: 6
6: 10
7: 15
8: 21
9: 28
10: 36
11: 45
12: 55
13: 63
14: 69
15: 73
16: 75
17: 75
18: 73
19: 69
20: 63
21: 55
22: 45
23: 36
24: 28
25: 21
26: 15
27: 10
28: 6
29: 3
30: 1
=
externs: x=4, y=10
4: 1
5: 4
6: 10
7: 20
8: 35
9: 56
10: 84
11: 120
12: 165
13: 220
14: 282
15: 348
16: 415
17: 480
18: 540
19: 592
20: 633
21: 660
22: 670
23: 660
24: 633
25: 592
26: 540
27: 480
28: 415
29: 348
30: 282
31: 220
32: 165
33: 120
34: 84
35: 56
36: 35
37: 20
38: 10
39: 4
40: 1
=
externs: x=1, y=12
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1
7: 1
8: 1
9: 1
10: 1
11: 1
12: 1
=
externs: x=2, y=12
2: 1
3: 2
4: 3
5: 4
6: 5
7: 6
8: 7
9: 8
10: 9
11: 10
12: 11
13: 12
14: 11
15: 10
16: 9
17: 8
18: 7
19: 6
20: 5
21: 4
22: 3
23: 2
24: 1
=
externs: x=3, y=12
3: 1
4: 3
5: 6
6: 10
7: 15
8: 21
9: 28
10: 36
11: 45
12: 55
13: 66
14: 78
15: 88
16: 96
17: 102
18: 106
19: 108
20: 108
21: 106
22: 102
23: 96
24: 88
25: 78
26: 66
27: 55
28: 45
29: 36
30: 28
31: 21
32: 15
33: 10
34: 6
35: 3
36: 1
=
externs: x=4, y=12
4: 1
5: 4
6: 10
7: 20
8: 35
9: 56
10: 84
11: 120
12: 165
13: 220
14: 286
15: 364
16: 451
17: 544
18: 640
19: 736
20: 829
21: 916
22: 994
23: 1060
24: 1111
25: 1144
26: 1156
27: 1144
28: 1111
29: 1060
30: 994
31: 916
32: 829
33: 736
34: 640
35: 544
36: 451
37: 364
38: 286
39: 220
40: 165
41: 120
42: 84
43: 56
44: 35
45: 20
46: 10
47: 4
48: 1
=
externs: x=1, y=20
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1
7: 1
8: 1
9: 1
10: 1
11: 1
12: 1
13: 1
14: 1
15: 1
16: 1
17: 1
18: 1
19: 1
20: 1
=
externs: x=2, y=20
2: 1
3: 2
4: 3
5: 4
6: 5
7: 6
8: 7
9: 8
10: 9
11: 10
12: 11
13: 12
14: 13
15: 14
16: 15
17: 16
18: 17
19: 18
20: 19
21: 20
22: 19
23: 18
24: 17
25: 16
26: 15
27: 14
28: 13
29: 12
30: 11
31: 10
32: 9
33: 8
34: 7
35: 6
36: 5
37: 4
38: 3
39: 2
40: 1
=
externs: x=3, y=20
3: 1
4: 3
5: 6
6: 10
7: 15
8: 21
9: 28
10: 36
11: 45
12: 55
13: 66
14: 78
15: 91
16: 105
17: 120
18: 136
19: 153
20: 171
21: 190
22: 210
23: 228
24: 244
25: 258
26: 270
27: 280
28: 288
29: 294
30: 298
31: 300
32: 300
33: 298
34: 294
35: 288
36: 280
37: 270
38: 258
39: 244
40: 228
41: 210
42: 190
43: 171
44: 153
45: 136
46: 120
47: 105
48: 91
49: 78
50: 66
51: 55
52: 45
53: 36
54: 28
55: 21
56: 15
57: 10
58: 6
59: 3
60: 1
=
externs: x=1, y=100
1: 1
2: 1
3: 1
4: 1
5: 1
6: 1
7: 1
8: 1
9: 1
10: 1
11: 1
12: 1
13: 1
14: 1
15: 1
16: 1
17: 1
18: 1
19: 1
20: 1
21: 1
22: 1
23: 1
24: 1
25: 1
26: 1
27: 1
28: 1
29: 1
30: 1
31: 1
32: 1
33: 1
34: 1
35: 1
36: 1
37: 1
38: 1
39: 1
40: 1
41: 1
42: 1
43: 1
44: 1
45: 1
46: 1
47: 1
48: 1
49: 1
50: 1
51: 1
52: 1
53: 1
54: 1
55: 1
56: 1
57: 1
58: 1
59: 1
60: 1
61: 1
62: 1
63: 1
64: 1
65: 1
66: 1
67: 1
68: 1
69: 1
70: 1
71: 1
72: 1
73: 1
74: 1
75: 1
76: 1
77: 1
78: 1
79: 1
80: 1
81: 1
82: 1
83: 1
84: 1
85: 1
86: 1
87: 1
88: 1
89: 1
90: 1
91: 1
92: 1
93: 1
94: 1
95: 1
96: 1
97: 1
98: 1
99: 1
100: 1
=
externs: x=2, y=100
2: 1
3: 2
4: 3
5: 4
6: 5
7: 6
8: 7
9: 8
10: 9
11: 10
12: 11
13: 12
14: 13
15: 14
16: 15
17: 16
18: 17
19: 18
20: 19
21: 20
22: 21
23: 22
24: 23
25: 24
26: 25
27: 26
28: 27
29: 28
30: 29
31: 30
32: 31
33: 32
34: 33
35: 34
36: 35
37: 36
38: 37
39: 38
40: 39
41: 40
42: 41
43: 42
44: 43
45: 44
46: 45
47: 46
48: 47
49: 48
50: 49
51: 50
52: 51
53: 52
54: 53
55: 54
56: 55
57: 56
58: 57
59: 58
60: 59
61: 60
62: 61
63: 62
64: 63
65: 64
66: 65
67: 66
68: 67
69: 68
70: 69
71: 70
72: 71
73: 72
74: 73
75: 74
76: 75
77: 76
78: 77
79: 78
80: 79
81: 80
82: 81
83: 82
84: 83
85: 84
86: 85
87: 86
88: 87
89: 88
90: 89
91: 90
92: 91
93: 92
94: 93
95: 94
96: 95
97: 96
98: 97
99: 98
100: 99
101: 100
102: 99
103: 98
104: 97
105: 96
106: 95
107: 94
108: 93
109: 92
110: 91
111: 90
112: 89
113: 88
114: 87
115: 86
116: 85
117: 84
118: 83
119: 82
120: 81
121: 80
122: 79
123: 78
124: 77
125: 76
126: 75
127: 74
128: 73
129: 72
130: 71
131: 70
132: 69
133: 68
134: 67
135: 66
136: 65
137: 64
138: 63
139: 62
140: 61
141: 60
142: 59
143: 58
144: 57
145: 56
146: 55
147: 54
148: 53
149: 52
150: 51
151: 50
152: 49
153: 48
154: 47
155: 46
156: 45
157: 44
158: 43
159: 42
160: 41
161: 40
162: 39
163: 38
164: 37
165: 36
166: 35
167: 34
168: 33
169: 32
170: 31
171: 30
172: 29
173: 28
174: 27
175: 26
176: 25
177: 24
178: 23
179: 22
180: 21
181: 20
182: 19
183: 18
184: 17
185: 16
186: 15
187: 14
188: 13
189: 12
190: 11
191: 10
192: 9
193: 8
194: 7
195: 6
196: 5
197: 4
198: 3
199: 2
200: 1

x, y: {x}D{y} + {x}D{y}
=
args: 0, 0
0: 1
=
args: 0, 1
0: 1
=
args: 1, 0
0: 1
=
args: -1, 1
0: 1
=
args: 1, -1
0: 1
=
args: -1, -1
0: 1
=
args: 1, 2
2: 1
3: 2
4: 1
=
args: 2, 2
4: 1
5: 4
6: 6
7: 4
8: 1
=
args: 3, 2
6: 1
7: 6
8: 15
9: 20
10: 15
11: 6
12: 1
=
args: 4, 2
8: 1
9: 8
10: 28
11: 56
12: 70
13: 56
14: 28
15: 8
16: 1
=
args: 1, 4
2: 1
3: 2
4: 3
5: 4
6: 3
7: 2
8: 1
=
args: 2, 4
4: 1
5: 4
6: 10
7: 20
8: 31
9: 40
10: 44
11: 40
12: 31
13: 20
14: 10
15: 4
16: 1
=
args: 3, 4
6: 1
7: 6
8: 21
9: 56
10: 120
11: 216
12: 336
13: 456
14: 546
15: 580
16: 546
17: 456
18: 336
19: 216
20: 120
21: 56
22: 21
23: 6
24: 1
=
args: 1, 6
2: 1
3: 2
4: 3
5: 4
6: 5
7: 6
8: 5
9: 4
10: 3
11: 2
12: 1
=
args: 2, 6
4: 1
5: 4
6: 10
7: 20
8: 35
9: 56
10: 80
11: 104
12: 125
13: 140
14: 146
15: 140
16: 125
17: 104
18: 80
19: 56
20: 35
21: 20
22: 10
23: 4
24: 1
=
args: 3, 6
6: 1
7: 6
8: 21
9: 56
10: 126
11: 252
12: 456
13: 756
14: 1161
15: 1666
16: 2247
17: 2856
18: 3431
19: 3906
20: 4221
21: 4332
22: 4221
23: 3906
24: 3431
25: 2856
26: 2247
27: 1666
28: 1161
29: 756
30: 456
31: 252
32: 126
33: 56
34: 21
35: 6
36: 1
=
args: 1, 8
2: 1
3: 2
4: 3
5: 4
6: 5
7: 6
8: 7
9: 8
10: 7
11: 6
12: 5
13: 4
14: 3
15: 2
16: 1
=
args: 2, 8
4: 1
5: 4
6: 10
7: 20
8: 35
9: 56
10: 84
11: 120
12: 161
13: 204
14: 246
15: 284
16: 315
17: 336
18: 344
19: 336
20: 315
21: 284
22: 246
23: 204
24: 161
25: 120
26: 84
27: 56
28: 35
29: 20
30: 10
31: 4
32: 1
=
args: 1, 10
2: 1
3: 2
4: 3
5: 4
6: 5
7: 6
8: 7
9: 8
10: 9
11: 10
12: 9
13: 8
14: 7
15: 6
16: 5
17: 4
18: 3
19: 2
20: 1
=
args: 2, 10
4: 1
5: 4
6: 10
7: 20
8: 35
9: 56
10: 84
11: 120
12: 165
13: 220
14: 282
15: 348
16: 415
17: 480
18: 540
19: 592
20: 633
21: 660
22: 670
23: 660
24: 633
25: 592
26: 540
27: 480
28: 415
29: 348
30: 282
31: 220
32: 165
33: 120
34: 84
35: 56
36: 35
37: 20
38: 10
39: 4
40: 1
=
args: 1, 12
2: 1
3: 2
4: 3
5: 4
6: 5
7: 6
8: 7
9: 8
10: 9
11: 10
12: 11
13: 12
14: 11
15: 10
16: 9
17: 8
18: 7
19: 6
20: 5
21: 4
22: 3
23: 2
24: 1
=
args: 2, 12
4: 1
5: 4
6: 10
7: 20
8: 35
9: 56
10: 84
11: 120
12: 165
13: 220
14: 286
15: 364
16: 451
17: 544
18: 640
19: 736
20: 829
21: 916
22: 994
23: 1060
24: 1111
25: 1144
26: 1156
27: 1144
28: 1111
29: 1060
30: 994
31: 916
32: 829
33: 736
34: 640
35: 544
36: 451
37: 364
38: 286
39: 220
40: 165
41: 120
42: 84
43: 56
44: 35
45: 20
46: 10
47: 4
48: 1
=
args: 1, 20
2: 1
3: 2
4: 3
5: 4
6: 5
7: 6
8: 7
9: 8
10: 9
11: 10
12: 11
13: 12
14: 13
15: 14
16: 15
17: 16
18: 17
19: 18
20: 19
21: 20
22: 19
23: 18
24: 17
25: 16
26: 15
27: 14
28: 13
29: 12
30: 11
31: 10
32: 9
33: 8
34: 7
35: 6
36: 5
37: 4
38: 3
39: 2
40: 1
=
args: 1, 100
2: 1
3: 2
4: 3
5: 4
6: 5
7: 6
8: 7
9: 8
10: 9
11: 10
12: 11
13: 12
14: 13
15: 14
16: 15
17: 16
18: 17
19: 18
20: 19
21: 20
22: 21
23: 22
24: 23
25: 24
26: 25
27: 26
28: 27
29: 28
30: 29
31: 30
32: 31
33: 32
34: 33
35: 34
36: 35
37: 36
38: 37
39: 38
40: 39
41: 40
42: 41
43: 42
44: 43
45: 44
46: 45
47: 46
48: 47
49: 48
50: 49
51: 50
52: 51
53: 52
54: 53
55: 54
56: 55
57: 56
58: 57
59: 58
60: 59
61: 60
62: 61
63: 62
64: 63
65: 64
66: 65
67: 66
68: 67
69: 68
70: 69
71: 70
72: 71
73: 72
74: 73
75: 74
76: 75
77: 76
78: 77
79: 78
80: 79
81: 80
82: 81
83: 82
84: 83
85: 84
86: 85
87: 86
88: 87
89: 88
90: 89
91: 90
92: 91
93: 92
94: 93
95: 94
96: 95
97: 96
98: 97
99: 98
100: 99
101: 100
102: 99
103: 98
104: 97
105: 96
106: 95
107: 94
108: 93
109: 92
110: 91
111: 90
112: 89
113: 88
114: 87
115: 86
116: 85
117: 84
118: 83
119: 82
120: 81
121: 80
122: 79
123: 78
124: 77
125: 76
126: 75
127: 74
128: 73
129: 72
130: 71
131: 70
132: 69
133: 68
134: 67
135: 66
136: 65
137: 64
138: 63
139: 62
140: 61
141: 60
142: 59
143: 58
144: 57
145: 56
146: 55
147: 54
148: 53
149: 52
150: 51
151: 50
152: 49
153: 48
154: 47
155: 46
156: 45
157: 44
158: 43
159: 42
160: 41
161: 40
162: 39
163: 38
164: 37
165: 36
166: 35
167: 34
168: 33
169: 32
170: 31
171: 30
172: 29
173: 28
174: 27
175: 26
176: 25
177: 24
178: 23
179: 22
180: 21
181: 20
182: 19
183: 18
184: 17
185: 16
186: 15
187: 14
188: 13
189: 12
190: 11
191: 10
192: 9
193: 8
194: 7
195: 6
196: 5
197: 4
198: 3
199: 2
200: 1

x, y: {x}D{y} - {x}D{y}
=
args: 0, 0
0: 1
=
args: 0, 1
0: 1
=
args: 1, 0
0: 1
=
args: -1, 1
0: 1
=
args: 1, -1
0: 1
=
args: -1, -1
0: 1
=
args: 1, 2
-1: 1
0: 2
1: 1
=
args: 2, 2
-2: 1
-1: 4
0: 6
1: 4
2: 1
=
args: 3, 2
-3: 1
-2: 6
-1: 15
0: 20
1: 15
2: 6
3: 1
=
args: 4, 2
-4: 1
-3: 8
-2: 28
-1: 56
0: 70
1: 56
2: 28
3: 8
4: 1
=
args: 1, 4
-3: 1
-2: 2
-1: 3
0: 4
1: 3
2: 2
3: 1
=
args: 2, 4
args: 2, 4
-6: 1
-5: 4
-4: 10
-3: 20
-2: 31
-1: 40
0: 44
1: 40
2: 31
3: 20
4: 10
5: 4
6: 1
=
args: 3, 4
args: 3, 4
-9: 1
-8: 6
-7: 21
-6: 56
-5: 120
-4: 216
-3: 336
-2: 456
-1: 546
0: 580
1: 546
2: 456
3: 336
4: 216
5: 120
6: 56
7: 21
8: 6
9: 1
=
args: 1, 6
-5: 1
-4: 2
-3: 3
-2: 4
-1: 5
0: 6
1: 5
2: 4
3: 3
4: 2
5: 1
=
args: 2, 6
args: 2, 6
-10: 1
-9: 4
-8: 10
-7: 20
-6: 35
-5: 56
-4: 80
-3: 104
-2: 125
-1: 140
0: 146
1: 140
2: 125
3: 104
4: 80
5: 56
6: 35
7: 20
8: 10
9: 4
10: 1
=
args: 3, 6
-15: 1
-14: 6
-13: 21
-12: 56
-11: 126
-10: 252
-9: 456
-8: 756
-7: 1161
-6: 1666
-5: 2247
-4: 2856
-3: 3431
-2: 3906
-1: 4221
0: 4332
1: 4221
2: 3906
3: 3431
4: 2856
5: 2247
6: 1666
7: 1161
8: 756
9: 456
10: 252
11: 126
12: 56
13: 21
14: 6
15: 1
=
args: 1, 8
-7: 1
-6: 2
-5: 3
-4: 4
-3: 5
-2: 6
-1: 7
0: 8
1: 7
2: 6
3: 5
4: 4
5: 3
6: 2
7: 1
=
args: 2, 8
-14: 1
-13: 4
-12: 10
-11: 20
-10: 35
-9: 56
-8: 84
-7: 120
-6: 161
-5: 204
-4: 246
-3: 284
-2: 315
-1: 336
0: 344
1: 336
2: 315
3: 284
4: 246
5: 204
6: 161
7: 120
8: 84
9: 56
10: 35
11: 20
12: 10
13: 4
14: 1
=
args: 1, 10
-9: 1
-8: 2
-7: 3
-6: 4
-5: 5
-4: 6
-3: 7
-2: 8
-1: 9
0: 10
1: 9
2: 8
3: 7
4: 6
5: 5
6: 4
7: 3
8: 2
9: 1
=
args: 2, 10
-18: 1
-17: 4
-16: 10
-15: 20
-14: 35
-13: 56
-12: 84
-11: 120
-10: 165
-9: 220
-8: 282
-7: 348
-6: 415
-5: 480
-4: 540
-3: 592
-2: 633
-1: 660
0: 670
1: 660
2: 633
3: 592
4: 540
5: 480
6: 415
7: 348
8: 282
9: 220
10: 165
11: 120
12: 84
13: 56
14: 35
15: 20
16: 10
17: 4
18: 1
=
args: 1, 12
args: 1, 12
-11: 1
-10: 2
-9: 3
-8: 4
-7: 5
-6: 6
-5: 7
-4: 8
-3: 9
-2: 10
-1: 11
0: 12
1: 11
2: 10
3: 9
4: 8
5: 7
6: 6
7: 5
8: 4
9: 3
10: 2
11: 1
=
args: 2, 12
-22: 1
-21: 4
-20: 10
-19: 20
-18: 35
-17: 56
-16: 84
-15: 120
-14: 165
-13: 220
-12: 286
-11: 364
-10: 451
-9: 544
-8: 640
-7: 736
-6: 829
-5: 916
-4: 994
-3: 1060
-2: 1111
-1: 1144
0: 1156
1: 1144
2: 1111
3: 1060
4: 994
5: 916
6: 829
7: 736
8: 640
9: 544
10: 451
11: 364
12: 286
13: 220
14: 165
15: 120
16: 84
17: 56
18: 35
19: 20
20: 10
21: 4
22: 1
=
args: 1, 20
-19: 1
-18: 2
-17: 3
-16: 4
-15: 5
-14: 6
-13: 7
-12: 8
-11: 9
-10: 10
-9: 11
-8: 12
-7: 13
-6: 14
-5: 15
-4: 16
-3: 17
-2: 18
-1: 19
0: 20
1: 19
2: 18
3: 17
4: 16
5: 15
6: 14
7: 13
8: 12
9: 11
10: 10
11: 9
12: 8
13: 7
14: 6
15: 5
16: 4
17: 3
18: 2
19: 1
=
args: 1, 100
args: 1, 100
-99: 1
-98: 2
-97: 3
-96: 4
-95: 5
-94: 6
-93: 7
-92: 8
-91: 9
-90: 10
-89: 11
-88: 12
-87: 13
-86: 14
-85: 15
-84: 16
-83: 17
-82: 18
-81: 19
-80: 20
-79: 21
-78: 22
-77: 23
-76: 24
-75: 25
-74: 26
-73: 27
-72: 28
-71: 29
-70: 30
-69: 31
-68: 32
-67: 33
-66: 34
-65: 35
-64: 36
-63: 37
-62: 38
-61: 39
-60: 40
-59: 41
-58: 42
-57: 43
-56: 44
-55: 45
-54: 46
-53: 47
-52: 48
-51: 49
-50: 50
-49: 51
-48: 52
-47: 53
-46: 54
-45: 55
-44: 56
-43: 57
-42: 58
-41: 59
-40: 60
-39: 61
-38: 62
-37: 63
-36: 64
-35: 65
-34: 66
-33: 67
-32: 68
-31: 69
-30: 70
-29: 71
-28: 72
-27: 73
-26: 74
-25: 75
-24: 76
-23: 77
-22: 78
-21: 79
-20: 80
-19: 81
-18: 82
-17: 83
-16: 84
-15: 85
-14: 86
-13: 87
-12: 88
-11: 89
-10: 90
-9: 91
-8: 92
-7: 93
-6: 94
-5: 95
-4: 96
-3: 97
-2: 98
-1: 99
0: 100
1: 99
2: 98
3: 97
4: 96
5: 95
6: 94
7: 93
8: 92
9: 91
10: 90
11: 89
12: 88
13: 87
14: 86
15: 85
16: 84
17: 83
18: 82
19: 81
20: 80
21: 79
22: 78
23: 77
24: 76
25: 75
26: 74
27: 73
28: 72
29: 71
30: 70
31: 69
32: 68
33: 67
34: 66
35: 65
36: 64
37: 63
38: 62
39: 61
40: 60
41: 59
42: 58
43: 57
44: 56
45: 55
46: 54
47: 53
48: 52
49: 51
50: 50
51: 49
52: 48
53: 47
54: 46
55: 45
56: 44
57: 43
58: 42
59: 41
60: 40
61: 39
62: 38
63: 37
64: 36
65: 35
66: 34
67: 33
68: 32
69: 31
70: 30
71: 29
72: 28
73: 27
74: 26
75: 25
76: 24
77: 23
78: 22
79: 21
80: 20
81: 19
82: 18
83: 17
84: 16
85: 15
86: 14
87: 13
88: 12
89: 11
90: 10
91: 9
92: 8
93: 7
94: 6
95: 5
96: 4
97: 3
98: 2
99: 1

x, y: {x}D{y} * {x}D{y}
=
args: 0, 0
0: 1
=
args: 0, 1
0: 1
=
args: 1, 0
0: 1
=
args: -1, 1
0: 1
=
args: 1, -1
0: 1
=
args: -1, -1
0: 1
=
args: 1, 2
1: 1
2: 2
4: 1
=
args: 2, 2
4: 1
6: 4
8: 2
9: 4
12: 4
16: 1
=
args: 3, 2
9: 1
12: 6
15: 6
16: 9
18: 2
20: 18
24: 6
25: 9
30: 6
36: 1
=
args: 4, 2
16: 1
20: 8
24: 12
25: 16
28: 8
30: 48
32: 2
35: 32
36: 36
40: 8
42: 48
48: 12
49: 16
56: 8
64: 1
=
args: 1, 4
1: 1
2: 2
3: 2
4: 3
6: 2
8: 2
9: 1
12: 2
16: 1
=
args: 2, 4
4: 1
6: 4
8: 6
9: 4
10: 8
12: 18
14: 4
15: 16
16: 11
18: 12
20: 24
21: 8
24: 22
25: 16
28: 12
30: 24
32: 6
35: 16
36: 9
40: 8
42: 12
48: 6
49: 4
56: 4
64: 1
=
args: 3, 4
9: 1
12: 6
15: 12
16: 9
18: 20
20: 36
21: 24
24: 84
25: 36
27: 20
28: 72
30: 132
32: 72
33: 6
35: 144
36: 162
40: 180
42: 240
44: 18
45: 120
48: 246
49: 144
50: 72
54: 200
55: 36
56: 288
60: 132
63: 240
64: 144
66: 60
70: 144
72: 260
77: 72
80: 144
81: 100
84: 24
88: 72
90: 120
96: 24
99: 60
100: 36
108: 20
110: 36
120: 12
121: 9
132: 6
144: 1
=
args: 1, 6
1: 1
2: 2
3: 2
4: 3
5: 2
6: 4
8: 2
9: 1
10: 2
12: 4
15: 2
16: 1
18: 2
20: 2
24: 2
25: 1
30: 2
36: 1
=
args: 2, 6
4: 1
6: 4
8: 6
9: 4
10: 8
12: 22
14: 12
15: 16
16: 19
18: 28
20: 30
21: 24
22: 4
24: 52
25: 16
27: 16
28: 36
30: 52
32: 30
33: 8
35: 48
36: 53
40: 58
42: 60
44: 12
45: 32
48: 56
49: 36
50: 24
54: 40
55: 16
56: 60
60: 38
63: 48
64: 25
66: 20
70: 36
72: 50
77: 24
80: 30
81: 16
84: 12
88: 20
90: 24
96: 10
99: 16
100: 9
108: 8
110: 12
120: 6
121: 4
132: 4
144: 1
=
args: 3, 6
9: 1
12: 6
15: 12
16: 9
18: 20
20: 36
21: 30
24: 102
25: 36
27: 50
28: 90
30: 174
32: 126
33: 54
35: 180
36: 300
39: 42
40: 414
42: 330
44: 162
45: 320
48: 582
49: 225
50: 324
51: 6
52: 126
54: 502
55: 324
56: 720
60: 900
63: 750
64: 477
65: 252
66: 540
68: 18
70: 990
72: 1556
75: 120
77: 810
78: 420
80: 1206
81: 625
84: 1050
85: 36
88: 1134
90: 1562
91: 630
96: 1170
98: 450
99: 1350
100: 729
102: 60
104: 882
105: 300
108: 1270
110: 1458
112: 810
117: 1050
119: 90
120: 1770
121: 729
126: 780
128: 252
130: 1134
132: 1350
135: 500
136: 126
140: 810
143: 1134
144: 967
150: 540
153: 150
154: 810
156: 1050
160: 324
162: 50
165: 540
168: 750
169: 441
170: 162
176: 324
180: 554
182: 630
187: 162
192: 300
195: 420
196: 225
198: 54
204: 150
208: 252
210: 300
216: 50
221: 126
224: 180
225: 100
234: 42
238: 90
240: 120
252: 30
255: 60
256: 36
270: 20
272: 36
288: 12
289: 9
306: 6
324: 1
=
args: 1, 8
1: 1
2: 2
3: 2
4: 3
5: 2
6: 4
7: 2
8: 4
9: 1
10: 2
12: 4
14: 2
15: 2
16: 3
18: 2
20: 2
21: 2
24: 4
25: 1
28: 2
30: 2
32: 2
35: 2
36: 1
40: 2
42: 2
48: 2
49: 1
56: 2
64: 1
=
args: 2, 8
4: 1
6: 4
8: 6
9: 4
10: 8
12: 22
14: 12
15: 16
16: 23
18: 36
20: 38
21: 24
22: 12
24: 68
25: 16
26: 8
27: 32
28: 42
30: 72
32: 44
33: 24
35: 48
36: 93
39: 16
40: 98
42: 72
44: 36
45: 72
48: 104
49: 36
50: 56
52: 24
54: 80
55: 48
56: 102
60: 122
63: 96
64: 55
65: 32
66: 60
70: 108
72: 162
75: 16
77: 72
78: 40
80: 106
81: 64
84: 90
88: 84
90: 132
91: 48
96: 80
98: 36
99: 96
100: 49
104: 56
105: 24
108: 80
110: 84
112: 54
117: 64
120: 98
121: 36
126: 48
128: 14
130: 56
132: 60
135: 32
140: 42
143: 48
144: 41
150: 28
154: 36
156: 40
160: 14
165: 24
168: 30
169: 16
176: 12
180: 20
182: 24
192: 10
195: 16
196: 9
208: 8
210: 12
224: 6
225: 4
240: 4
256: 1
=
args: 1, 10
1: 1
2: 2
3: 2
4: 3
5: 2
6: 4
7: 2
8: 4
9: 3
10: 4
12: 4
14: 2
15: 2
16: 3
18: 4
20: 4
21: 2
24: 4
25: 1
27: 2
28: 2
30: 4
32: 2
35: 2
36: 3
40: 4
42: 2
45: 2
48: 2
49: 1
50: 2
54: 2
56: 2
60: 2
63: 2
64: 1
70: 2
72: 2
80: 2
81: 1
90: 2
100: 1
=
args: 2, 10
4: 1
6: 4
8: 6
9: 4
10: 8
12: 22
14: 12
15: 16
16: 23
18: 36
20: 42
21: 24
22: 20
24: 76
25: 16
26: 16
27: 32
28: 50
30: 88
32: 52
33: 40
34: 8
35: 48
36: 115
38: 4
39: 32
40: 112
42: 88
44: 60
45: 88
48: 144
49: 36
50: 72
51: 16
52: 48
54: 92
55: 80
56: 126
57: 8
60: 202
63: 96
64: 79
65: 64
66: 100
68: 24
70: 164
72: 220
75: 48
76: 12
77: 120
78: 80
80: 172
81: 64
84: 178
85: 32
88: 140
90: 228
91: 96
95: 16
96: 176
98: 84
99: 160
100: 89
102: 40
104: 112
105: 72
108: 174
110: 180
112: 158
114: 20
117: 128
119: 48
120: 256
121: 100
126: 148
128: 70
130: 144
132: 180
133: 24
135: 96
136: 56
140: 138
143: 160
144: 203
150: 108
152: 28
153: 64
154: 140
156: 144
160: 104
162: 48
165: 120
168: 126
169: 64
170: 72
171: 32
176: 100
180: 178
182: 112
187: 80
190: 36
192: 90
195: 96
196: 49
198: 60
200: 18
204: 72
208: 80
209: 40
210: 84
216: 54
220: 20
221: 64
224: 70
225: 36
228: 36
234: 48
238: 56
240: 78
247: 32
252: 42
255: 48
256: 25
260: 16
266: 28
270: 36
272: 40
280: 14
285: 24
288: 30
289: 16
300: 12
304: 20
306: 24
320: 10
323: 16
324: 9
340: 8
342: 12
360: 6
361: 4
380: 4
400: 1
=
args: 1, 12
1: 1
2: 2
3: 2
4: 3
5: 2
6: 4
7: 2
8: 4
9: 3
10: 4
11: 2
12: 6
14: 2
15: 2
16: 3
18: 4
20: 4
21: 2
22: 2
24: 6
25: 1
27: 2
28: 2
30: 4
32: 2
33: 2
35: 2
36: 5
40: 4
42: 2
44: 2
45: 2
48: 4
49: 1
50: 2
54: 2
55: 2
56: 2
60: 4
63: 2
64: 1
66: 2
70: 2
72: 4
77: 2
80: 2
81: 1
84: 2
88: 2
90: 2
96: 2
99: 2
100: 1
108: 2
110: 2
120: 2
121: 1
132: 2
144: 1
=
args: 2, 12
4: 1
6: 4
8: 6
9: 4
10: 8
12: 22
14: 12
15: 16
16: 23
18: 36
20: 42
21: 24
22: 20
24: 80
25: 16
26: 24
27: 32
28: 58
30: 96
32: 60
33: 40
34: 16
35: 48
36: 131
38: 12
39: 48
40: 120
42: 112
44: 66
45: 104
46: 4
48: 174
49: 36
50: 72
51: 32
52: 72
54: 108
55: 80
56: 150
57: 24
60: 258
63: 112
64: 103
65: 96
66: 112
68: 48
69: 8
70: 196
72: 268
75: 80
76: 36
77: 120
78: 120
80: 228
81: 64
84: 266
85: 64
88: 158
90: 300
91: 144
92: 12
95: 48
96: 250
98: 132
99: 160
100: 121
102: 80
104: 168
105: 152
108: 246
110: 204
112: 262
114: 60
115: 16
117: 192
119: 96
120: 396
121: 100
126: 300
128: 126
130: 216
132: 250
133: 72
135: 160
136: 112
138: 20
140: 258
143: 240
144: 373
147: 48
150: 180
152: 84
153: 128
154: 256
156: 264
160: 232
161: 24
162: 112
165: 200
168: 310
169: 144
170: 144
171: 96
176: 222
180: 426
182: 264
184: 28
187: 160
189: 64
190: 108
192: 212
195: 240
196: 121
198: 188
200: 90
204: 176
207: 32
208: 216
209: 120
210: 292
216: 170
220: 154
221: 192
224: 198
225: 100
228: 132
230: 36
231: 80
234: 168
238: 176
240: 308
242: 60
247: 144
252: 242
253: 40
255: 160
256: 81
260: 120
264: 86
266: 132
270: 140
272: 144
273: 96
276: 44
280: 110
285: 120
286: 72
288: 148
289: 64
294: 88
299: 48
300: 100
304: 108
306: 112
308: 66
312: 24
315: 80
320: 90
322: 44
323: 96
324: 49
330: 60
336: 94
340: 80
342: 84
345: 40
352: 54
357: 64
360: 90
361: 36
368: 36
374: 48
378: 56
380: 60
384: 18
391: 32
396: 42
399: 48
400: 25
408: 16
414: 28
418: 36
420: 40
432: 14
437: 24
440: 30
441: 16
456: 12
460: 20
462: 24
480: 10
483: 16
484: 9
504: 8
506: 12
528: 6
529: 4
552: 4
576: 1
=
args: 1, 20
1: 1
2: 2
3: 2
4: 3
5: 2
6: 4
7: 2
8: 4
9: 3
10: 4
11: 2
12: 6
13: 2
14: 4
15: 4
16: 5
17: 2
18: 6
19: 2
20: 6
21: 2
22: 2
24: 6
25: 1
26: 2
27: 2
28: 4
30: 6
32: 4
33: 2
34: 2
35: 2
36: 7
38: 2
39: 2
40: 6
42: 4
44: 2
45: 4
48: 6
49: 1
50: 2
51: 2
52: 2
54: 4
55: 2
56: 4
57: 2
60: 8
63: 2
64: 3
65: 2
66: 2
68: 2
70: 4
72: 6
75: 2
76: 2
77: 2
78: 2
80: 6
81: 1
84: 4
85: 2
88: 2
90: 6
91: 2
95: 2
96: 4
98: 2
99: 2
100: 3
102: 2
104: 2
105: 2
108: 4
110: 2
112: 4
114: 2
117: 2
119: 2
120: 6
121: 1
126: 4
128: 2
130: 2
132: 2
133: 2
135: 2
136: 2
140: 4
143: 2
144: 5
150: 2
152: 2
153: 2
154: 2
156: 2
160: 4
162: 2
165: 2
168: 2
169: 1
170: 2
171: 2
176: 2
180: 6
182: 2
187: 2
190: 2
192: 2
195: 2
196: 1
198: 2
200: 2
204: 2
208: 2
209: 2
210: 2
216: 2
220: 2
221: 2
224: 2
225: 1
228: 2
234: 2
238: 2
240: 4
247: 2
252: 2
255: 2
256: 1
260: 2
266: 2
270: 2
272: 2
280: 2
285: 2
288: 2
289: 1
300: 2
304: 2
306: 2
320: 2
323: 2
324: 1
340: 2
342: 2
360: 2
361: 1
380: 2
400: 1
=
args: 1, 100
1: 1
2: 2
3: 2
4: 3
5: 2
6: 4
7: 2
8: 4
9: 3
10: 4
11: 2
12: 6
13: 2
14: 4
15: 4
16: 5
17: 2
18: 6
19: 2
20: 6
21: 4
22: 4
23: 2
24: 8
25: 3
26: 4
27: 4
28: 6
29: 2
30: 8
31: 2
32: 6
33: 4
34: 4
35: 4
36: 9
37: 2
38: 4
39: 4
40: 8
41: 2
42: 8
43: 2
44: 6
45: 6
46: 4
47: 2
48: 10
49: 3
50: 6
51: 4
52: 6
53: 2
54: 8
55: 4
56: 8
57: 4
58: 4
59: 2
60: 12
61: 2
62: 4
63: 6
64: 7
65: 4
66: 8
67: 2
68: 6
69: 4
70: 8
71: 2
72: 12
73: 2
74: 4
75: 6
76: 6
77: 4
78: 8
79: 2
80: 10
81: 5
82: 4
83: 2
84: 12
85: 4
86: 4
87: 4
88: 8
89: 2
90: 12
91: 4
92: 6
93: 4
94: 4
95: 4
96: 12
97: 2
98: 6
99: 6
100: 9
102: 6
104: 6
105: 6
106: 2
108: 10
110: 6
111: 2
112: 8
114: 6
115: 2
116: 4
117: 4
118: 2
119: 2
120: 14
121: 1
122: 2
123: 2
124: 4
125: 2
126: 10
128: 6
129: 2
130: 6
132: 10
133: 2
134: 2
135: 6
136: 6
138: 6
140: 10
141: 2
142: 2
143: 2
144: 13
145: 2
146: 2
147: 4
148: 4
150: 10
152: 6
153: 4
154: 6
155: 2
156: 10
158: 2
159: 2
160: 10
161: 2
162: 8
164: 4
165: 6
166: 2
168: 14
169: 1
170: 6
171: 4
172: 4
174: 6
175: 4
176: 8
177: 2
178: 2
180: 16
182: 6
183: 2
184: 6
185: 2
186: 6
187: 2
188: 4
189: 6
190: 6
192: 12
194: 2
195: 6
196: 7
198: 10
200: 10
201: 2
203: 2
204: 8
205: 2
207: 4
208: 6
209: 2
210: 12
212: 2
213: 2
215: 2
216: 12
217: 2
219: 2
220: 8
221: 2
222: 4
224: 8
225: 7
228: 8
230: 4
231: 6
232: 4
234: 8
235: 2
236: 2
237: 2
238: 4
240: 16
242: 2
243: 4
244: 2
245: 4
246: 4
247: 2
248: 4
249: 2
250: 4
252: 14
253: 2
255: 6
256: 5
258: 4
259: 2
260: 8
261: 4
264: 12
265: 2
266: 4
267: 2
268: 2
270: 12
272: 6
273: 6
275: 4
276: 8
279: 4
280: 12
282: 4
284: 2
285: 6
286: 4
287: 2
288: 14
289: 1
290: 4
291: 2
292: 2
294: 8
295: 2
296: 4
297: 6
299: 2
300: 14
301: 2
304: 6
305: 2
306: 6
308: 8
310: 4
312: 10
315: 8
316: 2
318: 2
319: 2
320: 10
322: 4
323: 2
324: 9
325: 4
328: 4
329: 2
330: 10
332: 2
333: 2
335: 2
336: 14
338: 2
340: 8
341: 2
342: 6
343: 2
344: 4
345: 4
348: 6
350: 8
351: 4
352: 8
354: 2
355: 2
356: 2
357: 4
360: 18
361: 1
363: 2
364: 8
365: 2
366: 2
368: 6
369: 2
370: 4
371: 2
372: 6
374: 4
375: 4
376: 4
377: 2
378: 10
380: 8
384: 10
385: 6
387: 2
388: 2
390: 10
391: 2
392: 8
395: 2
396: 12
399: 4
400: 11
402: 2
403: 2
405: 6
406: 4
407: 2
408: 8
410: 4
413: 2
414: 6
415: 2
416: 6
418: 4
420: 16
423: 2
424: 2
425: 4
426: 2
427: 2
429: 4
430: 4
432: 12
434: 4
435: 4
437: 2
438: 2
440: 10
441: 5
442: 4
444: 4
445: 2
448: 8
450: 12
451: 2
455: 6
456: 8
459: 4
460: 6
462: 10
464: 4
465: 4
468: 10
469: 2
470: 4
472: 2
473: 2
474: 2
475: 4
476: 6
477: 2
480: 16
481: 2
483: 4
484: 3
485: 2
486: 6
488: 2
490: 8
492: 4
493: 2
494: 4
495: 8
496: 4
497: 2
498: 2
500: 6
504: 16
506: 4
507: 2
510: 8
511: 2
512: 4
513: 4
516: 4
517: 2
518: 4
520: 8
522: 6
525: 6
527: 2
528: 12
529: 1
530: 2
531: 2
532: 6
533: 2
534: 2
536: 2
539: 4
540: 14
544: 6
546: 10
549: 2
550: 6
551: 2
552: 8
553: 2
555: 2
558: 6
559: 2
560: 12
561: 4
564: 4
567: 6
568: 2
570: 8
572: 6
574: 4
575: 2
576: 13
578: 2
580: 4
581: 2
582: 2
583: 2
584: 2
585: 6
588: 10
589: 2
590: 2
592: 4
594: 10
595: 4
598: 4
600: 14
602: 4
603: 2
605: 2
608: 6
609: 4
610: 2
611: 2
612: 8
615: 2
616: 10
620: 4
621: 4
623: 2
624: 10
625: 1
627: 4
629: 2
630: 14
632: 2
636: 2
637: 4
638: 4
639: 2
640: 8
644: 6
645: 2
646: 4
648: 10
649: 2
650: 6
651: 4
656: 4
657: 2
658: 4
660: 12
663: 4
664: 2
665: 4
666: 4
667: 2
670: 2
671: 2
672: 14
675: 6
676: 3
679: 2
680: 8
682: 4
684: 8
686: 4
688: 4
689: 2
690: 6
693: 8
696: 6
697: 2
700: 10
702: 8
703: 2
704: 8
705: 2
708: 2
710: 2
711: 2
712: 2
713: 2
714: 6
715: 4
720: 18
722: 2
725: 2
726: 4
728: 8
729: 3
730: 2
731: 2
732: 2
735: 4
736: 6
737: 2
738: 4
740: 4
741: 4
742: 2
744: 6
747: 2
748: 6
750: 6
752: 4
754: 4
756: 12
759: 4
760: 8
765: 6
767: 2
768: 8
770: 8
774: 4
775: 2
776: 2
777: 2
779: 2
780: 12
781: 2
782: 4
783: 4
784: 7
790: 2
792: 14
793: 2
795: 2
798: 6
799: 2
800: 10
801: 2
803: 2
804: 2
805: 2
806: 4
810: 10
812: 4
814: 4
816: 8
817: 2
819: 6
820: 4
825: 6
826: 2
828: 8
830: 2
832: 6
833: 2
836: 6
837: 4
840: 16
841: 1
845: 2
846: 4
847: 2
848: 2
850: 6
851: 2
852: 2
854: 2
855: 6
858: 8
860: 4
861: 2
864: 12
867: 2
868: 4
869: 2
870: 6
871: 2
873: 2
874: 4
875: 2
876: 2
880: 10
882: 8
884: 6
885: 2
888: 4
890: 2
891: 6
893: 2
896: 6
897: 4
899: 2
900: 15
901: 2
902: 4
903: 2
910: 8
912: 8
913: 2
915: 2
918: 6
920: 6
923: 2
924: 12
925: 2
928: 4
930: 6
931: 2
935: 4
936: 10
938: 2
940: 4
943: 2
944: 2
945: 6
946: 4
948: 2
949: 2
950: 6
952: 6
954: 2
957: 4
960: 14
961: 1
962: 4
966: 6
968: 4
969: 4
970: 2
972: 6
975: 6
976: 2
979: 2
980: 8
984: 4
986: 4
987: 2
988: 6
989: 2
990: 12
992: 4
994: 2
996: 2
999: 2
1000: 6
1001: 4
1003: 2
1005: 2
1007: 2
1008: 14
1012: 6
1014: 4
1015: 2
1020: 10
1022: 2
1023: 4
1024: 3
1025: 2
1026: 6
1027: 2
1029: 2
1032: 4
1034: 4
1035: 4
1036: 4
1037: 2
1040: 8
1044: 6
1045: 4
1050: 10
1053: 4
1054: 4
1056: 12
1058: 2
1060: 2
1062: 2
1064: 6
1065: 2
1066: 4
1067: 2
1068: 2
1071: 4
1072: 2
1073: 2
1075: 2
1078: 6
1079: 2
1080: 14
1081: 2
1083: 2
1085: 2
1088: 6
1089: 3
1092: 12
1095: 2
1098: 2
1100: 8
1102: 4
1104: 8
1105: 4
1106: 2
1107: 2
1110: 4
1113: 2
1116: 6
1118: 4
1120: 10
1121: 2
1122: 6
1125: 4
1127: 2
1128: 4
1131: 4
1134: 8
1136: 2
1139: 2
1140: 10
1144: 6
1147: 2
1148: 4
1150: 4
1152: 10
1155: 6
1156: 3
1157: 2
1159: 2
1160: 4
1161: 2
1162: 2
1164: 2
1166: 2
1168: 2
1170: 10
1173: 4
1175: 2
1176: 10
1178: 4
1180: 2
1183: 2
1184: 4
1185: 2
1188: 10
1189: 2
1190: 6
1196: 6
1197: 4
1200: 14
1204: 4
1206: 2
1207: 2
1209: 4
1210: 2
1215: 4
1216: 6
1218: 6
1219: 2
1220: 2
1221: 2
1222: 4
1224: 8
1225: 3
1230: 4
1232: 8
1235: 4
1239: 2
1240: 4
1241: 2
1242: 6
1245: 2
1246: 2
1247: 2
1248: 10
1250: 2
1254: 6
1258: 4
1260: 16
1261: 2
1264: 2
1265: 2
1269: 2
1271: 2
1272: 2
1273: 2
1274: 6
1275: 6
1276: 4
1278: 2
1280: 6
1281: 2
1287: 4
1288: 6
1290: 4
1292: 6
1295: 2
1296: 9
1298: 2
1300: 8
1302: 6
1305: 4
1309: 2
1311: 4
1312: 4
1314: 2
1316: 4
1320: 12
1323: 4
1325: 2
1326: 6
1328: 2
1330: 6
1332: 4
1333: 2
1334: 4
1335: 2
1340: 2
1342: 2
1343: 2
1344: 12
1349: 2
1350: 10
1352: 2
1353: 2
1357: 2
1358: 2
1360: 8
1363: 2
1364: 4
1365: 6
1368: 8
1369: 1
1372: 4
1375: 2
1376: 4
1377: 4
1378: 2
1380: 8
1386: 10
1387: 2
1392: 6
1394: 4
1395: 4
1400: 10
1403: 2
1404: 8
1406: 4
1407: 2
1408: 6
1410: 4
1411: 2
1416: 2
1419: 2
1420: 2
1421: 2
1422: 2
1424: 2
1425: 6
1426: 4
1428: 8
1430: 4
1431: 2
1435: 2
1440: 16
1443: 2
1444: 3
1445: 2
1449: 4
1450: 4
1452: 4
1455: 2
1456: 6
1457: 2
1458: 4
1460: 2
1462: 4
1463: 2
1464: 2
1470: 8
1472: 6
1474: 2
1475: 2
1476: 4
1479: 4
1480: 4
1482: 6
1484: 2
1485: 6
1488: 6
1491: 2
1494: 2
1495: 2
1496: 6
1500: 8
1501: 2
1504: 4
1505: 2
1508: 4
1512: 12
1513: 2
1517: 2
1518: 6
1519: 2
1520: 8
1521: 1
1525: 2
1530: 8
1533: 2
1534: 2
1536: 6
1537: 2
1539: 4
1540: 8
1541: 2
1547: 2
1548: 4
1550: 4
1551: 2
1552: 2
1554: 4
1558: 4
1560: 10
1562: 2
1564: 6
1566: 6
1568: 6
1575: 6
1577: 2
1580: 2
1581: 4
1584: 12
1586: 2
1587: 2
1590: 2
1591: 2
1593: 2
1595: 2
1596: 8
1598: 4
1599: 2
1600: 9
1602: 2
1606: 2
1608: 2
1610: 4
1612: 4
1615: 4
1617: 4
1620: 10
1624: 4
1625: 2
1628: 4
1632: 8
1633: 2
1634: 4
1638: 8
1640: 4
1643: 2
1645: 2
1647: 2
1649: 2
1650: 8
1652: 2
1653: 4
1656: 8
1659: 2
1660: 2
1664: 4
1665: 2
1666: 4
1672: 6
1674: 6
1675: 2
1677: 2
1679: 2
1680: 14
1681: 1
1682: 2
1683: 4
1690: 2
1691: 2
1692: 4
1694: 2
1696: 2
1700: 8
1701: 4
1702: 4
1704: 2
1705: 2
1708: 2
1710: 8
1711: 2
1715: 2
1716: 8
1720: 4
1722: 4
1725: 4
1728: 10
1729: 2
1734: 2
1736: 4
1738: 2
1739: 2
1740: 6
1742: 2
1743: 2
1746: 2
1748: 6
1749: 2
1750: 4
1752: 2
1755: 4
1760: 8
1763: 2
1764: 9
1767: 4
1768: 4
1769: 2
1770: 2
1771: 2
1775: 2
1776: 4
1780: 2
1782: 8
1785: 4
1786: 4
1792: 4
1794: 6
1798: 4
1800: 14
1802: 2
1804: 4
1805: 2
1806: 4
1809: 2
1813: 2
1815: 2
1817: 2
1820: 8
1824: 8
1825: 2
1826: 2
1827: 4
1829: 2
1830: 2
1833: 2
1836: 6
1840: 6
1843: 2
1845: 2
1846: 2
1848: 12
1849: 1
1850: 4
1855: 2
1856: 4
1860: 6
1862: 4
1863: 4
1869: 2
1870: 4
1872: 8
1875: 2
1876: 2
1880: 4
1881: 4
1885: 2
1886: 4
1887: 2
1888: 2
1890: 10
1891: 2
1892: 4
1896: 2
1898: 2
1900: 8
1904: 4
1908: 2
1909: 2
1911: 4
1914: 6
1917: 2
1920: 10
1922: 2
1924: 4
1925: 4
1927: 2
1932: 8
1935: 2
1936: 3
1938: 4
1940: 2
1943: 2
1944: 6
1947: 2
1950: 8
1952: 2
1953: 4
1955: 2
1958: 2
1960: 8
1961: 2
1968: 4
1971: 2
1972: 4
1974: 4
1975: 2
1976: 4
1978: 4
1980: 12
1984: 4
1988: 2
1989: 2
1992: 2
1995: 4
1998: 4
2000: 6
2001: 4
2002: 4
2006: 2
2009: 2
2010: 2
2013: 2
2014: 2
2015: 2
2016: 12
2021: 2
2024: 6
2025: 5
2028: 4
2030: 4
2035: 2
2037: 2
2040: 8
2044: 2
2046: 6
2047: 2
2048: 2
2050: 4
2052: 6
2054: 2
2058: 4
2059: 2
2064: 4
2065: 2
2067: 2
2068: 4
2070: 6
2072: 4
2074: 2
2075: 2
2077: 2
2079: 6
2080: 6
2088: 6
2090: 4
2091: 2
2093: 2
2100: 12
2106: 6
2107: 2
2108: 4
2109: 2
2112: 10
2115: 2
2116: 3
2117: 2
2120: 2
2124: 2
2125: 2
2128: 4
2130: 2
2132: 4
2133: 2
2134: 2
2135: 2
2136: 2
2139: 4
2142: 4
2144: 2
2145: 4
2146: 4
2150: 4
2156: 6
2158: 2
2160: 12
2162: 4
2166: 2
2170: 4
2173: 2
2175: 4
2176: 4
2178: 4
2183: 2
2184: 10
2185: 2
2187: 2
2190: 2
2193: 2
2196: 2
2200: 8
2201: 2
2204: 4
2205: 4
2208: 8
2209: 1
2210: 4
2211: 2
2212: 2
2214: 4
2220: 4
2223: 2
2225: 2
2226: 2
2231: 2
2232: 6
2233: 2
2236: 4
2240: 8
2241: 2
2242: 2
2244: 6
2250: 6
2254: 4
2255: 2
2256: 4
2257: 2
2262: 6
2263: 2
2268: 8
2272: 2
2275: 4
2277: 4
2278: 2
2279: 2
2280: 8
2288: 4
2291: 2
2294: 4
2295: 4
2296: 4
2300: 6
2301: 2
2303: 2
2304: 7
2310: 8
2312: 2
2314: 2
2318: 2
2320: 4
2322: 4
2324: 2
2325: 4
2328: 2
2331: 2
2332: 2
2336: 2
2337: 2
2340: 10
2343: 2
2345: 2
2346: 4
2349: 4
2350: 4
2352: 8
2356: 4
2360: 2
2365: 2
2366: 2
2368: 4
2370: 2
2375: 2
2376: 10
2378: 4
2379: 2
2380: 6
2385: 2
2387: 2
2392: 4
2394: 4
2397: 2
2400: 12
2401: 1
2403: 2
2405: 2
2407: 2
2408: 4
2409: 2
2412: 2
2414: 2
2415: 2
2418: 6
2419: 2
2420: 2
2425: 2
2430: 6
2432: 4
2436: 6
2438: 2
2440: 2
2442: 4
2444: 4
2448: 6
2449: 2
2450: 6
2451: 2
2457: 4
2460: 4
2464: 6
2465: 2
2470: 4
2475: 6
2478: 2
2479: 2
2480: 4
2482: 2
2484: 6
2485: 2
2490: 2
2491: 2
2492: 2
2494: 4
2496: 8
2499: 2
2500: 3
2501: 2
2508: 6
2511: 4
2516: 4
2520: 14
2522: 2
2523: 2
2528: 2
2530: 2
2535: 2
2537: 2
2538: 4
2541: 2
2542: 4
2544: 2
2546: 2
2548: 6
2550: 6
2552: 4
2553: 2
2555: 2
2556: 2
2560: 4
2562: 2
2565: 4
2573: 2
2574: 6
2576: 4
2580: 4
2581: 2
2583: 2
2584: 4
2585: 2
2590: 4
2592: 8
2596: 2
2597: 2
2600: 6
2601: 1
2604: 6
2607: 2
2610: 6
2613: 2
2618: 2
2619: 2
2622: 4
2623: 2
2624: 4
2625: 2
2627: 2
2628: 2
2632: 4
2635: 2
2639: 2
2640: 10
2646: 6
2650: 2
2652: 6
2655: 2
2656: 2
2660: 6
2664: 4
2665: 2
2666: 4
2668: 4
2670: 2
2673: 4
2679: 2
2680: 2
2684: 2
2686: 2
2688: 8
2691: 2
2695: 4
2697: 4
2698: 2
2700: 10
2701: 2
2703: 2
2704: 1
2706: 4
2709: 2
2714: 2
2716: 2
2720: 6
2726: 4
2728: 4
2730: 8
2736: 6
2738: 2
2739: 2
2744: 4
2745: 2
2747: 2
2750: 2
2752: 4
2754: 4
2755: 2
2756: 2
2759: 2
2760: 6
2765: 2
2769: 2
2772: 10
2773: 2
2774: 2
2775: 2
2784: 6
2788: 4
2790: 6
2793: 2
2795: 2
2800: 8
2805: 4
2806: 2
2808: 6
2809: 1
2812: 4
2813: 2
2814: 2
2816: 4
2820: 4
2821: 2
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8455: 2
8460: 2
8463: 2
8464: 1
8500: 2
8514: 2
8526: 2
8536: 2
8544: 2
8550: 2
8554: 2
8556: 2
8600: 2
8613: 2
8624: 2
8633: 2
8640: 2
8645: 2
8648: 2
8649: 1
8700: 2
8712: 2
8722: 2
8730: 2
8736: 2
8740: 2
8742: 2
8800: 2
8811: 2
8820: 2
8827: 2
8832: 2
8835: 2
8836: 1
8900: 2
8910: 2
8918: 2
8924: 2
8928: 2
8930: 2
9000: 2
9009: 2
9016: 2
9021: 2
9024: 2
9025: 1
9100: 2
9108: 2
9114: 2
9118: 2
9120: 2
9200: 2
9207: 2
9212: 2
9215: 2
9216: 1
9300: 2
9306: 2
9310: 2
9312: 2
9400: 2
9405: 2
9408: 2
9409: 1
9500: 2
9504: 2
9506: 2
9600: 2
9603: 2
9604: 1
9700: 2
9702: 2
9800: 2
9801: 1
9900: 2
10000: 1

x, y: {x}D{y} / {x}D{y}
=
args: 0, 0
0: 1
=
args: 0, 1
0: 1
=
args: 1, 0
0: 1
=
args: -1, 1
0: 1
=
args: 1, -1
0: 1
=
args: -1, -1
0: 1
=
args: 1, 2
0: 1
1: 2
2: 1
=
args: 2, 2
0: 5
1: 10
2: 1
=
args: 3, 2
0: 22
1: 41
2: 1
=
args: 4, 2
0: 93
1: 162
2: 1
=
args: 1, 4
0: 6
1: 6
2: 2
3: 1
4: 1
=
args: 2, 4
0: 106
1: 122
2: 22
3: 5
4: 1
=
args: 3, 4
0: 1758
1: 2118
2: 197
3: 22
4: 1
=
args: 1, 6
0: 15
1: 12
2: 4
3: 2
4: 1
5: 1
6: 1
=
args: 2, 6
0: 575
1: 562
2: 110
3: 32
4: 11
5: 5
6: 1
=
args: 3, 6
0: 21162
1: 22365
2: 2596
3: 422
4: 91
5: 19
6: 1
=
args: 1, 8
0: 28
1: 20
2: 7
3: 3
4: 2
5: 1
6: 1
7: 1
8: 1
=
args: 2, 8
0: 1876
1: 1692
2: 345
3: 107
4: 42
5: 19
6: 9
7: 5
8: 1
=
args: 1, 10
0: 45
1: 30
2: 10
3: 5
4: 3
5: 2
6: 1
7: 1
8: 1
9: 1
10: 1
=
args: 2, 10
0: 4665
1: 4010
2: 842
3: 265
4: 109
5: 52
6: 29
7: 13
8: 9
9: 5
10: 1
=
args: 1, 12
0: 66
1: 42
2: 14
3: 7
4: 4
5: 3
6: 2
7: 1
8: 1
9: 1
10: 1
11: 1
12: 1
=
args: 2, 12
0: 9790
1: 8150
2: 1736
3: 559
4: 238
5: 115
6: 62
7: 39
8: 19
9: 13
10: 9
11: 5
12: 1
=
args: 1, 20
0: 190
1: 110
2: 37
3: 18
4: 11
5: 7
6: 6
7: 3
8: 3
9: 3
10: 2
11: 1
12: 1
13: 1
14: 1
15: 1
16: 1
17: 1
18: 1
19: 1
20: 1
=
args: 1, 100
0: 4950
1: 2550
2: 850
3: 425
4: 255
5: 170
6: 121
7: 91
8: 71
9: 57
10: 46
11: 38
12: 33
13: 28
14: 24
15: 21
16: 20
17: 15
18: 15
19: 15
20: 11
21: 10
22: 10
23: 10
24: 10
25: 7
26: 6
27: 6
28: 6
29: 6
30: 6
31: 6
32: 6
33: 5
34: 3
35: 3
36: 3
37: 3
38: 3
39: 3
40: 3
41: 3
42: 3
43: 3
44: 3
45: 3
46: 3
47: 3
48: 3
49: 3
50: 2
51: 1
52: 1
53: 1
54: 1
55: 1
56: 1
57: 1
58: 1
59: 1
60: 1
61: 1
62: 1
63: 1
64: 1
65: 1
66: 1
67: 1
68: 1
69: 1
70: 1
71: 1
72: 1
73: 1
74: 1
75: 1
76: 1
77: 1
78: 1
79: 1
80: 1
81: 1
82: 1
83: 1
84: 1
85: 1
86: 1
87: 1
88: 1
89: 1
90: 1
91: 1
92: 1
93: 1
94: 1
95: 1
96: 1
97: 1
98: 1
99: 1
100: 1

x, y: {x}D{y} % {x}D{y}
=
args: 0, 0
0: 1
=
args: 0, 1
0: 1
=
args: 1, 0
0: 1
=
args: -1, 1
0: 1
=
args: 1, -1
0: 1
=
args: -1, -1
0: 1
=
args: 1, 2
0: 3
1: 1
=
args: 2, 2
0: 7
1: 4
2: 3
3: 2
=
args: 3, 2
0: 21
1: 15
2: 6
3: 7
4: 12
5: 3
=
args: 4, 2
0: 71
1: 56
2: 28
3: 8
4: 15
5: 44
6: 30
7: 4
=
args: 1, 4
0: 8
1: 5
2: 2
3: 1
=
args: 2, 4
0: 60
1: 50
2: 45
3: 36
4: 30
5: 24
6: 9
7: 2
=
args: 3, 4
0: 686
1: 612
2: 495
3: 398
4: 348
5: 366
6: 440
7: 384
8: 240
9: 100
10: 24
11: 3
=
args: 1, 6
0: 14
1: 10
2: 6
3: 3
4: 2
5: 1
=
args: 2, 6
0: 218
1: 194
2: 184
3: 162
4: 138
5: 120
6: 105
7: 90
8: 50
9: 24
10: 9
11: 2
=
args: 3, 6
0: 5417
1: 5058
2: 4530
3: 4024
4: 3579
5: 3255
6: 3108
7: 3183
8: 3462
9: 3375
10: 2916
11: 2187
12: 1400
13: 735
14: 300
15: 100
16: 24
17: 3
=
args: 1, 8
0: 20
1: 16
2: 11
3: 7
4: 4
5: 3
6: 2
7: 1
=
args: 2, 8
0: 540
1: 498
2: 478
3: 442
4: 399
5: 348
6: 313
7: 280
8: 252
9: 224
10: 147
11: 90
12: 50
13: 24
14: 9
15: 2
=
args: 1, 10
0: 27
1: 23
2: 16
3: 11
4: 8
5: 5
6: 4
7: 3
8: 2
9: 1
=
args: 2, 10
0: 1081
1: 1018
2: 995
3: 938
4: 870
5: 792
6: 711
7: 648
8: 592
9: 540
10: 495
11: 450
12: 324
13: 224
14: 147
15: 90
16: 50
17: 24
18: 9
19: 2
=
args: 1, 12
0: 35
1: 29
2: 22
3: 16
4: 12
5: 9
6: 6
7: 5
8: 4
9: 3
10: 2
11: 1
=
args: 2, 12
0: 1911
1: 1820
2: 1787
3: 1712
4: 1612
5: 1502
6: 1388
7: 1262
8: 1164
9: 1080
10: 999
11: 924
12: 858
13: 792
14: 605
15: 450
16: 324
17: 224
18: 147
19: 90
20: 50
21: 24
22: 9
23: 2
=
args: 1, 20
0: 66
1: 60
2: 49
3: 39
4: 33
5: 27
6: 23
7: 19
8: 16
9: 13
10: 10
11: 9
12: 8
13: 7
14: 6
15: 5
16: 4
17: 3
18: 2
19: 1

x, y: {x}D{y} ^ {x}D{y}
=
args: 0, 0
1: 1
=
args: 0, 1
1: 1
=
args: 1, 0
1: 1
=
args: -1, 1
1: 1
=
args: 1, -1
1: 1
=
args: -1, -1
1: 1
=
args: 1, 2
1: 2
2: 1
4: 1
=
args: 2, 2
4: 1
8: 2
9: 2
16: 2
27: 4
64: 2
81: 2
256: 1
=
args: 3, 2
27: 1
64: 3
81: 3
125: 3
216: 1
243: 3
256: 9
625: 9
729: 1
1024: 9
1296: 3
3125: 9
4096: 3
7776: 3
15625: 3
46656: 1
=
args: 4, 2
256: 1
625: 4
1024: 4
1296: 6
2401: 4
3125: 16
4096: 7
7776: 24
15625: 24
16384: 4
16807: 16
32768: 4
46656: 36
65536: 1
78125: 16
117649: 24
262144: 6
279936: 24
390625: 4
823543: 16
1679616: 6
2097152: 4
5764801: 4
16777216: 1
=
args: 1, 4
1: 4
2: 1
3: 1
4: 2
8: 1
9: 1
16: 2
27: 1
64: 1
81: 1
256: 1
=
args: 2, 4
4: 1
8: 2
9: 2
16: 6
25: 4
27: 4
32: 4
36: 3
49: 2
64: 10
81: 6
125: 8
128: 2
216: 6
243: 8
256: 10
343: 4
512: 2
625: 12
729: 6
1024: 12
1296: 9
2187: 4
2401: 6
3125: 16
4096: 12
6561: 2
7776: 12
15625: 12
16384: 6
16807: 8
32768: 4
46656: 9
65536: 3
78125: 8
117649: 6
262144: 3
279936: 6
390625: 4
823543: 4
1679616: 3
2097152: 2
5764801: 2
16777216: 1
=
args: 3, 4
27: 1
64: 3
81: 3
125: 6
216: 10
243: 6
256: 9
343: 12
512: 12
625: 18
729: 20
1000: 6
1024: 18
1296: 30
1331: 3
1728: 1
2187: 12
2401: 36
3125: 36
4096: 66
6561: 42
7776: 60
10000: 18
14641: 9
15625: 60
16384: 36
16807: 72
19683: 10
20736: 3
32768: 72
46656: 100
59049: 66
65536: 36
78125: 72
100000: 36
117649: 120
161051: 18
177147: 3
248832: 6
262144: 150
279936: 120
390625: 72
531441: 101
823543: 144
1000000: 60
1048576: 18
1679616: 120
1771561: 30
1953125: 60
2097152: 144
2985984: 10
4194304: 9
4782969: 120
5764801: 144
9765625: 36
10000000: 72
10077696: 100
16777216: 147
19487171: 36
35831808: 12
40353607: 120
43046721: 120
48828125: 18
60466176: 60
100000000: 72
134217728: 120
214358881: 36
244140625: 6
282475249: 72
362797056: 30
387420489: 100
429981696: 12
1000000000: 60
1073741824: 72
1977326743: 36
2147483647: 310
=
args: 1, 6
1: 6
2: 1
3: 1
4: 2
5: 1
6: 1
8: 1
9: 1
16: 2
25: 1
27: 1
32: 1
36: 1
64: 2
81: 1
125: 1
216: 1
243: 1
256: 1
625: 1
729: 1
1024: 1
1296: 1
3125: 1
4096: 1
7776: 1
15625: 1
46656: 1
=
args: 2, 6
4: 1
8: 2
9: 2
16: 6
25: 4
27: 4
32: 4
36: 5
49: 6
64: 16
81: 10
100: 3
121: 2
125: 8
128: 6
144: 1
216: 10
243: 8
256: 14
343: 12
512: 14
625: 12
729: 18
1000: 6
1024: 15
1296: 15
1331: 4
1728: 2
2048: 2
2187: 12
2401: 18
3125: 16
4096: 31
6561: 22
7776: 20
10000: 9
14641: 6
15625: 20
16384: 18
16807: 24
19683: 8
20736: 3
32768: 20
46656: 25
59049: 22
65536: 15
78125: 24
100000: 12
117649: 30
161051: 8
177147: 4
248832: 4
262144: 37
279936: 30
390625: 20
531441: 22
823543: 36
1000000: 15
1048576: 9
1679616: 25
1771561: 10
1953125: 16
2097152: 30
2985984: 5
4194304: 6
4782969: 24
5764801: 30
9765625: 12
10000000: 18
10077696: 20
16777216: 28
19487171: 12
35831808: 6
40353607: 24
43046721: 20
48828125: 8
60466176: 15
100000000: 15
134217728: 20
214358881: 10
244140625: 4
282475249: 18
362797056: 10
387420489: 16
429981696: 5
1000000000: 12
1073741824: 15
1977326743: 12
2147483647: 98
=
args: 3, 6
27: 1
64: 3
81: 3
125: 6
216: 10
243: 6
256: 9
343: 15
512: 21
625: 18
729: 35
1000: 27
1024: 18
1296: 30
1331: 27
1728: 25
2187: 15
2197: 21
2401: 45
2744: 15
3125: 36
3375: 10
4096: 99
4913: 3
5832: 1
6561: 96
7776: 60
10000: 81
14641: 81
15625: 60
16384: 45
16807: 90
19683: 25
20736: 75
28561: 63
32768: 126
38416: 45
46656: 100
50625: 30
59049: 177
65536: 81
78125: 90
83521: 9
100000: 162
104976: 3
117649: 150
161051: 162
177147: 27
248832: 150
262144: 285
279936: 150
371293: 126
390625: 126
531441: 275
537824: 90
759375: 60
823543: 225
1000000: 270
1048576: 117
1419857: 18
1594323: 21
1679616: 210
1771561: 270
1889568: 6
1953125: 150
2097152: 315
2985984: 250
4194304: 81
4782969: 390
4826809: 210
5764801: 315
7529536: 150
9765625: 162
10000000: 405
10077696: 250
11390625: 100
14348907: 10
16777216: 576
19487171: 405
24137569: 30
34012224: 10
35831808: 375
40353607: 375
43046721: 531
48828125: 162
60466176: 270
62748517: 315
67108864: 63
100000000: 567
105413504: 225
129140163: 3
134217728: 525
170859375: 150
214358881: 567
244140625: 150
268435456: 135
282475249: 405
362797056: 270
387420489: 626
410338673: 45
429981696: 525
612220032: 15
815730721: 441
1000000000: 675
1073741824: 597
1220703125: 126
1475789056: 315
1977326743: 405
2147483647: 29253
=
args: 1, 8
1: 8
2: 1
3: 1
4: 2
5: 1
6: 1
7: 1
8: 2
9: 1
16: 2
25: 1
27: 1
32: 1
36: 1
49: 1
64: 3
81: 1
125: 1
128: 1
216: 1
243: 1
256: 2
343: 1
512: 1
625: 1
729: 1
1024: 1
1296: 1
2187: 1
2401: 1
3125: 1
4096: 2
6561: 1
7776: 1
15625: 1
16384: 1
16807: 1
32768: 1
46656: 1
65536: 1
78125: 1
117649: 1
262144: 1
279936: 1
390625: 1
823543: 1
1679616: 1
2097152: 1
5764801: 1
16777216: 1
=
args: 1, 10
1: 10
2: 1
3: 1
4: 2
5: 1
6: 1
7: 1
8: 2
9: 2
10: 1
16: 2
25: 1
27: 1
32: 1
36: 1
49: 1
64: 3
81: 2
100: 1
125: 1
128: 1
216: 1
243: 1
256: 2
343: 1
512: 2
625: 1
729: 2
1000: 1
1024: 2
1296: 1
2187: 1
2401: 1
3125: 1
4096: 2
6561: 2
7776: 1
10000: 1
15625: 1
16384: 1
16807: 1
19683: 1
32768: 1
46656: 1
59049: 2
65536: 1
78125: 1
100000: 1
117649: 1
262144: 2
279936: 1
390625: 1
531441: 1
823543: 1
1000000: 1
1048576: 1
1679616: 1
1953125: 1
2097152: 1
4782969: 1
5764801: 1
9765625: 1
10000000: 1
10077696: 1
16777216: 1
40353607: 1
43046721: 1
60466176: 1
100000000: 1
134217728: 1
282475249: 1
387420489: 1
1000000000: 1
1073741824: 1
2147483647: 2

x, y: -{x}D{y}
=
args: 0, 0
0: 1
=
args: 0, 1
0: 1
=
args: 1, 0
0: 1
=
args: -1, 1
0: 1
=
args: 1, -1
0: 1
=
args: -1, -1
0: 1
=
args: 1, 2
-2: 1
-1: 1
=
args: 2, 2
-4: 1
-3: 2
-2: 1
=
args: 3, 2
-6: 1
-5: 3
-4: 3
-3: 1
=
args: 4, 2
-8: 1
-7: 4
-6: 6
-5: 4
-4: 1
=
args: 1, 4
-4: 1
-3: 1
-2: 1
-1: 1
=
args: 2, 4
-8: 1
-7: 2
-6: 3
-5: 4
-4: 3
-3: 2
-2: 1
=
args: 3, 4
-12: 1
-11: 3
-10: 6
-9: 10
-8: 12
-7: 12
-6: 10
-5: 6
-4: 3
-3: 1
=
args: 4, 4
-16: 1
-15: 4
-14: 10
-13: 20
-12: 31
-11: 40
-10: 44
-9: 40
-8: 31
-7: 20
-6: 10
-5: 4
-4: 1
=
args: 1, 6
-6: 1
-5: 1
-4: 1
-3: 1
-2: 1
-1: 1
=
args: 2, 6
-12: 1
-11: 2
-10: 3
-9: 4
-8: 5
-7: 6
-6: 5
-5: 4
-4: 3
-3: 2
-2: 1
=
args: 3, 6
-18: 1
-17: 3
-16: 6
-15: 10
-14: 15
-13: 21
-12: 25
-11: 27
-10: 27
-9: 25
-8: 21
-7: 15
-6: 10
-5: 6
-4: 3
-3: 1
=
args: 4, 6
-24: 1
-23: 4
-22: 10
-21: 20
-20: 35
-19: 56
-18: 80
-17: 104
-16: 125
-15: 140
-14: 146
-13: 140
-12: 125
-11: 104
-10: 80
-9: 56
-8: 35
-7: 20
-6: 10
-5: 4
-4: 1
=
args: 1, 8
-8: 1
-7: 1
-6: 1
-5: 1
-4: 1
-3: 1
-2: 1
-1: 1
=
args: 2, 8
-16: 1
-15: 2
-14: 3
-13: 4
-12: 5
-11: 6
-10: 7
-9: 8
-8: 7
-7: 6
-6: 5
-5: 4
-4: 3
-3: 2
-2: 1
=
args: 3, 8
-24: 1
-23: 3
-22: 6
-21: 10
-20: 15
-19: 21
-18: 28
-17: 36
-16: 42
-15: 46
-14: 48
-13: 48
-12: 46
-11: 42
-10: 36
-9: 28
-8: 21
-7: 15
-6: 10
-5: 6
-4: 3
-3: 1
=
args: 4, 8
-32: 1
-31: 4
-30: 10
-29: 20
-28: 35
-27: 56
-26: 84
-25: 120
-24: 161
-23: 204
-22: 246
-21: 284
-20: 315
-19: 336
-18: 344
-17: 336
-16: 315
-15: 284
-14: 246
-13: 204
-12: 161
-11: 120
-10: 84
-9: 56
-8: 35
-7: 20
-6: 10
-5: 4
-4: 1
=
args: 1, 10
-10: 1
-9: 1
-8: 1
-7: 1
-6: 1
-5: 1
-4: 1
-3: 1
-2: 1
-1: 1
=
args: 2, 10
-20: 1
-19: 2
-18: 3
-17: 4
-16: 5
-15: 6
-14: 7
-13: 8
-12: 9
-11: 10
-10: 9
-9: 8
-8: 7
-7: 6
-6: 5
-5: 4
-4: 3
-3: 2
-2: 1
=
args: 3, 10
-30: 1
-29: 3
-28: 6
-27: 10
-26: 15
-25: 21
-24: 28
-23: 36
-22: 45
-21: 55
-20: 63
-19: 69
-18: 73
-17: 75
-16: 75
-15: 73
-14: 69
-13: 63
-12: 55
-11: 45
-10: 36
-9: 28
-8: 21
-7: 15
-6: 10
-5: 6
-4: 3
-3: 1
=
args: 4, 10
-40: 1
-39: 4
-38: 10
-37: 20
-36: 35
-35: 56
-34: 84
-33: 120
-32: 165
-31: 220
-30: 282
-29: 348
-28: 415
-27: 480
-26: 540
-25: 592
-24: 633
-23: 660
-22: 670
-21: 660
-20: 633
-19: 592
-18: 540
-17: 480
-16: 415
-15: 348
-14: 282
-13: 220
-12: 165
-11: 120
-10: 84
-9: 56
-8: 35
-7: 20
-6: 10
-5: 4
-4: 1
=
args: 1, 12
-12: 1
-11: 1
-10: 1
-9: 1
-8: 1
-7: 1
-6: 1
-5: 1
-4: 1
-3: 1
-2: 1
-1: 1
=
args: 2, 12
-24: 1
-23: 2
-22: 3
-21: 4
-20: 5
-19: 6
-18: 7
-17: 8
-16: 9
-15: 10
-14: 11
-13: 12
-12: 11
-11: 10
-10: 9
-9: 8
-8: 7
-7: 6
-6: 5
-5: 4
-4: 3
-3: 2
-2: 1
=
args: 3, 12
-36: 1
-35: 3
-34: 6
-33: 10
-32: 15
-31: 21
-30: 28
-29: 36
-28: 45
-27: 55
-26: 66
-25: 78
-24: 88
-23: 96
-22: 102
-21: 106
-20: 108
-19: 108
-18: 106
-17: 102
-16: 96
-15: 88
-14: 78
-13: 66
-12: 55
-11: 45
-10: 36
-9: 28
-8: 21
-7: 15
-6: 10
-5: 6
-4: 3
-3: 1
=
args: 4, 12
-48: 1
-47: 4
-46: 10
-45: 20
-44: 35
-43: 56
-42: 84
-41: 120
-40: 165
-39: 220
-38: 286
-37: 364
-36: 451
-35: 544
-34: 640
-33: 736
-32: 829
-31: 916
-30: 994
-29: 1060
-28: 1111
-27: 1144
-26: 1156
-25: 1144
-24: 1111
-23: 1060
-22: 994
-21: 916
-20: 829
-19: 736
-18: 640
-17: 544
-16: 451
-15: 364
-14: 286
-13: 220
-12: 165
-11: 120
-10: 84
-9: 56
-8: 35
-7: 20
-6: 10
-5: 4
-4: 1
=
args: 1, 20
-20: 1
-19: 1
-18: 1
-17: 1
-16: 1
-15: 1
-14: 1
-13: 1
-12: 1
-11: 1
-10: 1
-9: 1
-8: 1
-7: 1
-6: 1
-5: 1
-4: 1
-3: 1
-2: 1
-1: 1
=
args: 2, 20
-40: 1
-39: 2
-38: 3
-37: 4
-36: 5
-35: 6
-34: 7
-33: 8
-32: 9
-31: 10
-30: 11
-29: 12
-28: 13
-27: 14
-26: 15
-25: 16
-24: 17
-23: 18
-22: 19
-21: 20
-20: 19
-19: 18
-18: 17
-17: 16
-16: 15
-15: 14
-14: 13
-13: 12
-12: 11
-11: 10
-10: 9
-9: 8
-8: 7
-7: 6
-6: 5
-5: 4
-4: 3
-3: 2
-2: 1
=
args: 3, 20
-60: 1
-59: 3
-58: 6
-57: 10
-56: 15
-55: 21
-54: 28
-53: 36
-52: 45
-51: 55
-50: 66
-49: 78
-48: 91
-47: 105
-46: 120
-45: 136
-44: 153
-43: 171
-42: 190
-41: 210
-40: 228
-39: 244
-38: 258
-37: 270
-36: 280
-35: 288
-34: 294
-33: 298
-32: 300
-31: 300
-30: 298
-29: 294
-28: 288
-27: 280
-26: 270
-25: 258
-24: 244
-23: 228
-22: 210
-21: 190
-20: 171
-19: 153
-18: 136
-17: 120
-16: 105
-15: 91
-14: 78
-13: 66
-12: 55
-11: 45
-10: 36
-9: 28
-8: 21
-7: 15
-6: 10
-5: 6
-4: 3
-3: 1
=
args: 1, 100
-100: 1
-99: 1
-98: 1
-97: 1
-96: 1
-95: 1
-94: 1
-93: 1
-92: 1
-91: 1
-90: 1
-89: 1
-88: 1
-87: 1
-86: 1
-85: 1
-84: 1
-83: 1
-82: 1
-81: 1
-80: 1
-79: 1
-78: 1
-77: 1
-76: 1
-75: 1
-74: 1
-73: 1
-72: 1
-71: 1
-70: 1
-69: 1
-68: 1
-67: 1
-66: 1
-65: 1
-64: 1
-63: 1
-62: 1
-61: 1
-60: 1
-59: 1
-58: 1
-57: 1
-56: 1
-55: 1
-54: 1
-53: 1
-52: 1
-51: 1
-50: 1
-49: 1
-48: 1
-47: 1
-46: 1
-45: 1
-44: 1
-43: 1
-42: 1
-41: 1
-40: 1
-39: 1
-38: 1
-37: 1
-36: 1
-35: 1
-34: 1
-33: 1
-32: 1
-31: 1
-30: 1
-29: 1
-28: 1
-27: 1
-26: 1
-25: 1
-24: 1
-23: 1
-22: 1
-21: 1
-20: 1
-19: 1
-18: 1
-17: 1
-16: 1
-15: 1
-14: 1
-13: 1
-12: 1
-11: 1
-10: 1
-9: 1
-8: 1
-7: 1
-6: 1
-5: 1
-4: 1
-3: 1
-2: 1
-1: 1

x, y, z: {x}D{y} drop lowest {z}
=
args: 0, 0, 1
0: 1
=
args: 0, 1, 1
0: 1
=
args: 1, 0, 1
0: 1
=
args: -1, 1, 1
0: 1
=
args: 1, -1, 1
0: 1
=
args: -1, -1, 1
0: 1
=
args: 1, 2, 1
0: 2
=
args: 2, 2, 1
1: 1
2: 3
=
args: 3, 2, 1
2: 1
3: 3
4: 4
=
args: 4, 2, 1
3: 1
4: 4
5: 6
6: 5
=
args: 1, 4, 1
0: 4
=
args: 2, 4, 1
1: 1
2: 3
3: 5
4: 7
=
args: 3, 4, 1
2: 1
3: 3
4: 7
5: 12
6: 16
7: 15
8: 10
=
args: 4, 4, 1
3: 1
4: 4
5: 10
6: 21
7: 34
8: 46
9: 51
10: 46
11: 30
12: 13
=
args: 1, 6, 1
0: 6
=
args: 2, 6, 1
1: 1
2: 3
3: 5
4: 7
5: 9
6: 11
=
args: 3, 6, 1
2: 1
3: 3
4: 7
5: 12
6: 19
7: 27
8: 34
9: 36
10: 34
11: 27
12: 16
=
args: 4, 6, 1
3: 1
4: 4
5: 10
6: 21
7: 38
8: 62
9: 91
10: 122
11: 148
12: 167
13: 172
14: 160
15: 131
16: 94
17: 54
18: 21
=
args: 1, 8, 1
0: 8
=
args: 2, 8, 1
1: 1
2: 3
3: 5
4: 7
5: 9
6: 11
7: 13
8: 15
=
args: 3, 8, 1
2: 1
3: 3
4: 7
5: 12
6: 19
7: 27
8: 37
9: 48
10: 58
11: 63
12: 64
13: 60
14: 52
15: 39
16: 22
=
args: 4, 8, 1
3: 1
4: 4
5: 10
6: 21
7: 38
8: 62
9: 95
10: 138
11: 188
12: 243
13: 296
14: 344
15: 381
16: 404
17: 406
18: 385
19: 340
20: 280
21: 211
22: 142
23: 78
24: 29
=
args: 1, 10, 1
0: 10
=
args: 2, 10, 1
1: 1
2: 3
3: 5
4: 7
5: 9
6: 11
7: 13
8: 15
9: 17
10: 19
=
args: 3, 10, 1
2: 1
3: 3
4: 7
5: 12
6: 19
7: 27
8: 37
9: 48
10: 61
11: 75
12: 88
13: 96
14: 100
15: 99
16: 94
17: 84
18: 70
19: 51
20: 28
=
args: 4, 10, 1
3: 1
4: 4
5: 10
6: 21
7: 38
8: 62
9: 95
10: 138
11: 192
12: 259
13: 336
14: 420
15: 505
16: 588
17: 662
18: 725
19: 770
20: 794
21: 791
22: 758
23: 694
24: 609
25: 508
26: 400
27: 291
28: 190
29: 102
30: 37
=
args: 1, 12, 1
0: 12
=
args: 2, 12, 1
1: 1
2: 3
3: 5
4: 7
5: 9
6: 11
7: 13
8: 15
9: 17
10: 19
11: 21
12: 23
=
args: 3, 12, 1
2: 1
3: 3
4: 7
5: 12
6: 19
7: 27
8: 37
9: 48
10: 61
11: 75
12: 91
13: 108
14: 124
15: 135
16: 142
17: 144
18: 142
19: 135
20: 124
21: 108
22: 88
23: 63
24: 34
=
args: 4, 12, 1
3: 1
4: 4
5: 10
6: 21
7: 38
8: 62
9: 95
10: 138
11: 192
12: 259
13: 340
14: 436
15: 545
16: 664
17: 786
18: 909
19: 1026
20: 1134
21: 1227
22: 1302
23: 1352
24: 1375
25: 1364
26: 1316
27: 1231
28: 1118
29: 982
30: 833
31: 676
32: 520
33: 371
34: 238
35: 126
36: 45
=
args: 1, 20, 1
0: 20
=
args: 2, 20, 1
args: 2, 20, 1
1: 1
2: 3
3: 5
4: 7
5: 9
6: 11
7: 13
8: 15
9: 17
10: 19
11: 21
12: 23
13: 25
14: 27
15: 29
16: 31
17: 33
18: 35
19: 37
20: 39
=
args: 3, 20, 1
2: 1
3: 3
4: 7
5: 12
6: 19
7: 27
8: 37
9: 48
10: 61
11: 75
12: 91
13: 108
14: 127
15: 147
16: 169
17: 192
18: 217
19: 243
20: 271
21: 300
22: 328
23: 351
24: 370
25: 384
26: 394
27: 399
28: 400
29: 396
30: 388
31: 375
32: 358
33: 336
34: 310
35: 279
36: 244
37: 204
38: 160
39: 111
40: 58
=
args: 1, 100, 1
0: 100
=
args: 2, 100, 1
1: 1
2: 3
3: 5
4: 7
5: 9
6: 11
7: 13
8: 15
9: 17
10: 19
11: 21
12: 23
13: 25
14: 27
15: 29
16: 31
17: 33
18: 35
19: 37
20: 39
21: 41
22: 43
23: 45
24: 47
25: 49
26: 51
27: 53
28: 55
29: 57
30: 59
31: 61
32: 63
33: 65
34: 67
35: 69
36: 71
37: 73
38: 75
39: 77
40: 79
41: 81
42: 83
43: 85
44: 87
45: 89
46: 91
47: 93
48: 95
49: 97
50: 99
51: 101
52: 103
53: 105
54: 107
55: 109
56: 111
57: 113
58: 115
59: 117
60: 119
61: 121
62: 123
63: 125
64: 127
65: 129
66: 131
67: 133
68: 135
69: 137
70: 139
71: 141
72: 143
73: 145
74: 147
75: 149
76: 151
77: 153
78: 155
79: 157
80: 159
81: 161
82: 163
83: 165
84: 167
85: 169
86: 171
87: 173
88: 175
89: 177
90: 179
91: 181
92: 183
93: 185
94: 187
95: 189
96: 191
97: 193
98: 195
99: 197
100: 199
=
args: 0, 0, 2
0: 1
=
args: 0, 1, 2
0: 1
=
args: 1, 0, 2
0: 1
=
args: -1, 1, 2
0: 1
=
args: 1, -1, 2
0: 1
=
args: -1, -1, 2
0: 1
=
args: 1, 2, 2
0: 2
=
args: 2, 2, 2
0: 4
=
args: 3, 2, 2
1: 1
2: 7
=
args: 4, 2, 2
2: 1
3: 4
4: 11
=
args: 1, 4, 2
0: 4
=
args: 2, 4, 2
0: 16
=
args: 3, 4, 2
1: 1
2: 7
3: 19
4: 37
=
args: 4, 4, 2
2: 1
3: 4
4: 15
5: 32
6: 61
7: 76
8: 67
=
args: 1, 6, 2
0: 6
=
args: 2, 6, 2
0: 36
=
args: 3, 6, 2
1: 1
2: 7
3: 19
4: 37
5: 61
6: 91
=
args: 4, 6, 2
2: 1
3: 4
4: 15
5: 32
6: 65
7: 108
8: 171
9: 224
10: 261
11: 244
12: 171
=
args: 1, 8, 2
0: 8
=
args: 2, 8, 2
0: 64
=
args: 3, 8, 2
1: 1
2: 7
3: 19
4: 37
5: 61
6: 91
7: 127
8: 169
=
args: 4, 8, 2
2: 1
3: 4
4: 15
5: 32
6: 65
7: 108
8: 175
9: 256
10: 365
11: 468
12: 563
13: 608
14: 605
15: 508
16: 323
=
args: 1, 10, 2
0: 10
=
args: 2, 10, 2
0: 100
=
args: 3, 10, 2
1: 1
2: 7
3: 19
4: 37
5: 61
6: 91
7: 127
8: 169
9: 217
10: 271
=
args: 4, 10, 2
2: 1
3: 4
4: 15
5: 32
6: 65
7: 108
8: 175
9: 256
10: 369
11: 500
12: 667
13: 832
14: 997
15: 1116
16: 1195
17: 1184
18: 1093
19: 868
20: 523
=
args: 1, 12, 2
0: 12
=
args: 2, 12, 2
0: 144
=
args: 3, 12, 2
1: 1
2: 7
3: 19
4: 37
5: 61
6: 91
7: 127
8: 169
9: 217
10: 271
11: 331
12: 397
=
args: 4, 12, 2
2: 1
3: 4
4: 15
5: 32
6: 65
7: 108
8: 175
9: 256
10: 369
11: 500
12: 671
13: 864
14: 1101
15: 1340
16: 1587
17: 1792
18: 1965
19: 2052
20: 2067
21: 1952
22: 1725
23: 1324
24: 771
=
args: 1, 20, 2
0: 20
=
args: 2, 20, 2
0: 400
=
args: 3, 20, 2
1: 1
2: 7
3: 19
4: 37
5: 61
6: 91
7: 127
8: 169
9: 217
10: 271
11: 331
12: 397
13: 469
14: 547
15: 631
16: 721
17: 817
18: 919
19: 1027
20: 1141
=
args: 1, 100, 2
0: 100
=
args: 2, 100, 2
0: 10000

x, y, z: {x}D{y} drop highest {z}
=
args: 0, 0, 1
0: 1
=
args: 0, 1, 1
0: 1
=
args: 1, 0, 1
0: 1
=
args: -1, 1, 1
0: 1
=
args: 1, -1, 1
0: 1
=
args: -1, -1, 1
0: 1
=
args: 1, 2, 1
0: 2
=
args: 2, 2, 1
1: 3
2: 1
=
args: 3, 2, 1
2: 4
3: 3
4: 1
=
args: 4, 2, 1
3: 5
4: 6
5: 4
6: 1
=
args: 1, 4, 1
0: 4
=
args: 2, 4, 1
1: 7
2: 5
3: 3
4: 1
=
args: 3, 4, 1
2: 10
3: 15
4: 16
5: 12
6: 7
7: 3
8: 1
=
args: 4, 4, 1
3: 13
4: 30
5: 46
6: 51
7: 46
8: 34
9: 21
10: 10
11: 4
12: 1
=
args: 1, 6, 1
0: 6
=
args: 2, 6, 1
1: 11
2: 9
3: 7
4: 5
5: 3
6: 1
=
args: 3, 6, 1
2: 16
3: 27
4: 34
5: 36
6: 34
7: 27
8: 19
9: 12
10: 7
11: 3
12: 1
=
args: 4, 6, 1
3: 21
4: 54
5: 94
6: 131
7: 160
8: 172
9: 167
10: 148
11: 122
12: 91
13: 62
14: 38
15: 21
16: 10
17: 4
18: 1
=
args: 1, 8, 1
0: 8
=
args: 2, 8, 1
1: 15
2: 13
3: 11
4: 9
5: 7
6: 5
7: 3
8: 1
=
args: 3, 8, 1
2: 22
3: 39
4: 52
5: 60
6: 64
7: 63
8: 58
9: 48
10: 37
11: 27
12: 19
13: 12
14: 7
15: 3
16: 1
=
args: 4, 8, 1
3: 29
4: 78
5: 142
6: 211
7: 280
8: 340
9: 385
10: 406
11: 404
12: 381
13: 344
14: 296
15: 243
16: 188
17: 138
18: 95
19: 62
20: 38
21: 21
22: 10
23: 4
24: 1
=
args: 1, 10, 1
0: 10
=
args: 2, 10, 1
1: 19
2: 17
3: 15
4: 13
5: 11
6: 9
7: 7
8: 5
9: 3
10: 1
=
args: 3, 10, 1
2: 28
3: 51
4: 70
5: 84
6: 94
7: 99
8: 100
9: 96
10: 88
11: 75
12: 61
13: 48
14: 37
15: 27
16: 19
17: 12
18: 7
19: 3
20: 1
=
args: 4, 10, 1
3: 37
4: 102
5: 190
6: 291
7: 400
8: 508
9: 609
10: 694
11: 758
12: 791
13: 794
14: 770
15: 725
16: 662
17: 588
18: 505
19: 420
20: 336
21: 259
22: 192
23: 138
24: 95
25: 62
26: 38
27: 21
28: 10
29: 4
30: 1
=
args: 1, 12, 1
0: 12
=
args: 2, 12, 1
1: 23
2: 21
3: 19
4: 17
5: 15
6: 13
7: 11
8: 9
9: 7
10: 5
11: 3
12: 1
=
args: 3, 12, 1
2: 34
3: 63
4: 88
5: 108
6: 124
7: 135
8: 142
9: 144
10: 142
11: 135
12: 124
13: 108
14: 91
15: 75
16: 61
17: 48
18: 37
19: 27
20: 19
21: 12
22: 7
23: 3
24: 1
=
args: 4, 12, 1
3: 45
4: 126
5: 238
6: 371
7: 520
8: 676
9: 833
10: 982
11: 1118
12: 1231
13: 1316
14: 1364
15: 1375
16: 1352
17: 1302
18: 1227
19: 1134
20: 1026
21: 909
22: 786
23: 664
24: 545
25: 436
26: 340
27: 259
28: 192
29: 138
30: 95
31: 62
32: 38
33: 21
34: 10
35: 4
36: 1
=
args: 1, 20, 1
0: 20
=
args: 2, 20, 1
1: 39
2: 37
3: 35
4: 33
5: 31
6: 29
7: 27
8: 25
9: 23
10: 21
11: 19
12: 17
13: 15
14: 13
15: 11
16: 9
17: 7
18: 5
19: 3
20: 1
=
args: 3, 20, 1
2: 58
3: 111
4: 160
5: 204
6: 244
7: 279
8: 310
9: 336
10: 358
11: 375
12: 388
13: 396
14: 400
15: 399
16: 394
17: 384
18: 370
19: 351
20: 328
21: 300
22: 271
23: 243
24: 217
25: 192
26: 169
27: 147
28: 127
29: 108
30: 91
31: 75
32: 61
33: 48
34: 37
35: 27
36: 19
37: 12
38: 7
39: 3
40: 1
=
args: 1, 100, 1
0: 100
=
args: 2, 100, 1
1: 199
2: 197
3: 195
4: 193
5: 191
6: 189
7: 187
8: 185
9: 183
10: 181
11: 179
12: 177
13: 175
14: 173
15: 171
16: 169
17: 167
18: 165
19: 163
20: 161
21: 159
22: 157
23: 155
24: 153
25: 151
26: 149
27: 147
28: 145
29: 143
30: 141
31: 139
32: 137
33: 135
34: 133
35: 131
36: 129
37: 127
38: 125
39: 123
40: 121
41: 119
42: 117
43: 115
44: 113
45: 111
46: 109
47: 107
48: 105
49: 103
50: 101
51: 99
52: 97
53: 95
54: 93
55: 91
56: 89
57: 87
58: 85
59: 83
60: 81
61: 79
62: 77
63: 75
64: 73
65: 71
66: 69
67: 67
68: 65
69: 63
70: 61
71: 59
72: 57
73: 55
74: 53
75: 51
76: 49
77: 47
78: 45
79: 43
80: 41
81: 39
82: 37
83: 35
84: 33
85: 31
86: 29
87: 27
88: 25
89: 23
90: 21
91: 19
92: 17
93: 15
94: 13
95: 11
96: 9
97: 7
98: 5
99: 3
100: 1
=
args: 0, 0, 2
0: 1
=
args: 0, 1, 2
0: 1
=
args: 1, 0, 2
0: 1
=
args: -1, 1, 2
0: 1
=
args: 1, -1, 2
0: 1
=
args: -1, -1, 2
0: 1
=
args: 1, 2, 2
0: 2
=
args: 2, 2, 2
0: 4
=
args: 3, 2, 2
1: 7
2: 1
=
args: 4, 2, 2
2: 11
3: 4
4: 1
=
args: 1, 4, 2
0: 4
=
args: 2, 4, 2
0: 16
=
args: 3, 4, 2
1: 37
2: 19
3: 7
4: 1
=
args: 4, 4, 2
2: 67
3: 76
4: 61
5: 32
6: 15
7: 4
8: 1
=
args: 1, 6, 2
0: 6
=
args: 2, 6, 2
0: 36
=
args: 3, 6, 2
1: 91
2: 61
3: 37
4: 19
5: 7
6: 1
=
args: 4, 6, 2
2: 171
3: 244
4: 261
5: 224
6: 171
7: 108
8: 65
9: 32
10: 15
11: 4
12: 1
=
args: 1, 8, 2
0: 8
=
args: 2, 8, 2
0: 64
=
args: 3, 8, 2
1: 169
2: 127
3: 91
4: 61
5: 37
6: 19
7: 7
8: 1
=
args: 4, 8, 2
2: 323
3: 508
4: 605
5: 608
6: 563
7: 468
8: 365
9: 256
10: 175
11: 108
12: 65
13: 32
14: 15
15: 4
16: 1
=
args: 1, 10, 2
0: 10
=
args: 2, 10, 2
0: 100
=
args: 3, 10, 2
1: 271
2: 217
3: 169
4: 127
5: 91
6: 61
7: 37
8: 19
9: 7
10: 1
=
args: 4, 10, 2
2: 523
3: 868
4: 1093
5: 1184
6: 1195
7: 1116
8: 997
9: 832
10: 667
11: 500
12: 369
13: 256
14: 175
15: 108
16: 65
17: 32
18: 15
19: 4
20: 1
=
args: 1, 12, 2
0: 12
=
args: 2, 12, 2
0: 144
=
args: 3, 12, 2
1: 397
2: 331
3: 271
4: 217
5: 169
6: 127
7: 91
8: 61
9: 37
10: 19
11: 7
12: 1
=
args: 4, 12, 2
2: 771
3: 1324
4: 1725
5: 1952
6: 2067
7: 2052
8: 1965
9: 1792
10: 1587
11: 1340
12: 1101
13: 864
14: 671
15: 500
16: 369
17: 256
18: 175
19: 108
20: 65
21: 32
22: 15
23: 4
24: 1
=
args: 1, 20, 2
0: 20
=
args: 2, 20, 2
0: 400
=
args: 3, 20, 2
1: 1141
2: 1027
3: 919
4: 817
5: 721
6: 631
7: 547
8: 469
9: 397
10: 331
11: 271
12: 217
13: 169
14: 127
15: 91
16: 61
17: 37
18: 19
19: 7
20: 1
=
args: 1, 100, 2
0: 100
=
args: 2, 100, 2
0: 10000

0D[-1, 0, 1]
=
0: 1

0D[-1, 0, 1] drop lowest 0
=
0: 1

0D[-1, 0, 1] drop lowest 1
=
0: 1

0D[-1, 0, 1] drop highest 0
=
0: 1

0D[-1, 0, 1] drop highest 1
=
0: 1

1D[-1, 0, 1]
=
-1: 1
0: 1
1: 1

1D[1, 0, -1] drop lowest 0
=
-1: 1
0: 1
1: 1

1D[-1, 0, 1] drop lowest 1
=
0: 1

1D[1, 0, -1] drop highest 0
=
-1: 1
0: 1
1: 1

1D[-1, 0, 1] drop highest 1
=
0: 1

1D[-4, -3, -2]
=
-4: 1
-3: 1
-2: 1

1D[-2, -3, -4] drop lowest 0
=
-4: 1
-3: 1
-2: 1

1D[-4, -3, -2] drop lowest 1
=
0: 1

1D[-2, -3, -4] drop highest 0
=
-4: 1
-3: 1
-2: 1

1D[-4, -3, -2] drop highest 1
=
0: 1

2D[-1, 0, 1]
=
-2: 1
-1: 2
0: 3
1: 2
2: 1

2D[1, 0, -1] drop lowest 0
=
-2: 1
-1: 2
0: 3
1: 2
2: 1

2D[-1, 0, 1] drop lowest 1
=
-1: 1
0: 3
1: 5

2D[1, 0, -1] drop highest 0
=
-2: 1
-1: 2
0: 3
1: 2
2: 1

2D[-1, 0, 1] drop highest 1
=
-1: 5
0: 3
1: 1

x: {x}D[-1, 0, 1, 3, 5]
=
args: 0
0: 1
=
args: 1
-1: 1
0: 1
1: 1
3: 1
5: 1
=
args: 2
-2: 1
-1: 2
0: 3
1: 2
2: 3
3: 2
4: 4
5: 2
6: 3
8: 2
10: 1
=
args: 3
-3: 1
-2: 3
-1: 6
0: 7
1: 9
2: 9
3: 13
4: 12
5: 15
6: 9
7: 12
8: 6
9: 10
10: 3
11: 6
13: 3
15: 1
=
args: 4
-4: 1
-3: 4
-2: 10
-1: 16
0: 23
1: 28
2: 38
3: 44
4: 55
5: 52
6: 58
7: 48
8: 56
9: 40
10: 46
11: 24
12: 31
13: 12
14: 20
15: 4
16: 10
18: 4
20: 1
=
args: 5
-5: 1
-4: 5
-3: 15
-2: 30
-1: 50
0: 71
1: 100
2: 130
3: 170
4: 195
5: 226
6: 230
7: 255
8: 240
9: 255
10: 210
11: 215
12: 155
13: 165
14: 100
15: 111
16: 50
17: 65
18: 20
19: 35
20: 5
21: 15
23: 5
25: 1
=
args: 6
-6: 1
-5: 6
-4: 21
-3: 50
-2: 96
-1: 156
0: 237
1: 336
2: 465
3: 596
4: 741
5: 852
6: 981
7: 1050
8: 1146
9: 1130
10: 1161
11: 1050
12: 1045
13: 870
14: 846
15: 626
16: 606
17: 390
18: 396
19: 210
20: 231
21: 90
22: 120
23: 30
24: 56
25: 6
26: 21
28: 6
30: 1

x, y: {x}D[-1, 0, 1, 3, 5] drop lowest {y}
=
args: 0, 0
0: 1
=
args: 0, 1
0: 1
=
args: 0, 2
0: 1
=
args: 0, 3
0: 1
=
args: 0, 4
0: 1
=
args: 1, 0
-1: 1
0: 1
1: 1
3: 1
5: 1
=
args: 1, 1
0: 5
=
args: 1, 2
0: 5
=
args: 1, 3
0: 5
=
args: 1, 4
0: 5
=
args: 2, 0
-2: 1
-1: 2
0: 3
1: 2
2: 3
3: 2
4: 4
5: 2
6: 3
8: 2
10: 1
=
args: 2, 1
-1: 1
0: 3
1: 5
3: 7
5: 9
=
args: 2, 2
0: 25
=
args: 2, 3
0: 25
=
args: 2, 4
0: 25
=
args: 3, 0
-3: 1
-2: 3
-1: 6
0: 7
1: 9
2: 9
3: 13
4: 12
5: 15
6: 9
7: 12
8: 6
9: 10
10: 3
11: 6
13: 3
15: 1
=
args: 3, 1
-2: 1
-1: 3
0: 7
1: 9
2: 10
3: 9
4: 18
5: 9
6: 25
8: 21
10: 13
=
args: 3, 2
-1: 1
0: 7
1: 19
3: 37
5: 61
=
args: 3, 3
0: 125
=
args: 3, 4
0: 125
=
args: 4, 0
-4: 1
-3: 4
-2: 10
-1: 16
0: 23
1: 28
2: 38
3: 44
4: 55
5: 52
6: 58
7: 48
8: 56
9: 40
10: 46
11: 24
12: 31
13: 12
14: 20
15: 4
16: 10
18: 4
20: 1
=
args: 4, 1
-3: 1
-2: 4
-1: 10
0: 17
1: 26
2: 30
3: 41
4: 48
5: 62
6: 54
7: 70
8: 36
9: 79
10: 18
11: 70
13: 42
15: 17
=
args: 4, 2
-2: 1
-1: 4
0: 15
1: 28
2: 37
3: 28
4: 80
5: 28
6: 143
8: 148
10: 113
=
args: 4, 3
-1: 1
0: 15
1: 65
3: 175
5: 369
=
args: 4, 4
0: 625
=
args: 5, 0
-5: 1
-4: 5
-3: 15
-2: 30
-1: 50
0: 71
1: 100
2: 130
3: 170
4: 195
5: 226
6: 230
7: 255
8: 240
9: 255
10: 210
11: 215
12: 155
13: 165
14: 100
15: 111
16: 50
17: 65
18: 20
19: 35
20: 5
21: 15
23: 5
25: 1
=
args: 5, 1
-4: 1
-3: 5
-2: 15
-1: 30
0: 51
1: 75
2: 105
3: 135
4: 181
5: 205
6: 245
7: 240
8: 275
9: 240
10: 290
11: 180
12: 266
13: 90
14: 225
15: 30
16: 150
18: 70
20: 21
=
args: 5, 2
-3: 1
-2: 5
-1: 15
0: 36
1: 70
2: 90
3: 131
4: 160
5: 250
6: 210
7: 375
8: 140
9: 496
10: 70
11: 525
13: 370
15: 181
=
args: 5, 3
-2: 1
-1: 5
0: 31
1: 75
2: 136
3: 75
4: 330
5: 75
6: 701
8: 875
10: 821
=
args: 5, 4
-1: 1
0: 31
1: 211
3: 781
5: 2101
=
args: 6, 0
-6: 1
-5: 6
-4: 21
-3: 50
-2: 96
-1: 156
0: 237
1: 336
2: 465
3: 596
4: 741
5: 852
6: 981
7: 1050
8: 1146
9: 1130
10: 1161
11: 1050
12: 1045
13: 870
14: 846
15: 626
16: 606
17: 390
18: 396
19: 210
20: 231
21: 90
22: 120
23: 30
24: 56
25: 6
26: 21
28: 6
30: 1
=
args: 6, 1
-5: 1
-4: 6
-3: 21
-2: 50
-1: 96
0: 157
1: 242
2: 345
3: 476
4: 615
5: 769
6: 885
7: 1031
8: 1080
9: 1211
10: 1155
11: 1235
12: 1035
13: 1130
14: 780
15: 969
16: 450
17: 746
18: 180
19: 510
20: 45
21: 275
23: 105
25: 25
=
args: 6, 2
-4: 1
-3: 6
-2: 21
-1: 50
0: 103
1: 186
2: 281
3: 386
4: 568
5: 696
6: 951
7: 960
8: 1286
9: 1040
10: 1655
11: 840
12: 1849
13: 420
14: 1796
15: 140
16: 1385
18: 740
20: 265
=
args: 6, 3
-3: 1
-2: 6
-1: 21
0: 72
1: 177
2: 255
3: 425
4: 480
5: 987
6: 675
7: 1791
8: 450
9: 2659
10: 225
11: 3231
13: 2625
15: 1545
=
args: 6, 4
-2: 1
-1: 6
0: 63
1: 186
2: 479
3: 186
4: 1272
5: 186
6: 3175
8: 4686
10: 5385

x, y: {x}D[-1, 0, 1, 3, 5] drop highest {y}
=
args: 0, 0
0: 1
=
args: 0, 1
0: 1
=
args: 0, 2
0: 1
=
args: 0, 3
0: 1
=
args: 0, 4
0: 1
=
args: 1, 0
-1: 1
0: 1
1: 1
3: 1
5: 1
=
args: 1, 1
0: 5
=
args: 1, 2
0: 5
=
args: 1, 3
0: 5
=
args: 1, 4
0: 5
=
args: 2, 0
-2: 1
-1: 2
0: 3
1: 2
2: 3
3: 2
4: 4
5: 2
6: 3
8: 2
10: 1
=
args: 2, 1
-1: 9
0: 7
1: 5
3: 3
5: 1
=
args: 2, 2
0: 25
=
args: 2, 3
0: 25
=
args: 2, 4
0: 25
=
args: 3, 0
-3: 1
-2: 3
-1: 6
0: 7
1: 9
2: 9
3: 13
4: 12
5: 15
6: 9
7: 12
8: 6
9: 10
10: 3
11: 6
13: 3
15: 1
=
args: 3, 1
-2: 13
-1: 21
0: 25
1: 15
2: 16
3: 9
4: 12
5: 3
6: 7
8: 3
10: 1
=
args: 3, 2
-1: 61
0: 37
1: 19
3: 7
5: 1
=
args: 3, 3
0: 125
=
args: 3, 4
0: 125
=
args: 4, 0
-4: 1
-3: 4
-2: 10
-1: 16
0: 23
1: 28
2: 38
3: 44
4: 55
5: 52
6: 58
7: 48
8: 56
9: 40
10: 46
11: 24
12: 31
13: 12
14: 20
15: 4
16: 10
18: 4
20: 1
=
args: 4, 1
-3: 17
-2: 42
-1: 70
0: 73
1: 76
2: 64
3: 69
4: 48
5: 52
6: 28
7: 34
8: 12
9: 21
10: 4
11: 10
13: 4
15: 1
=
args: 4, 2
-2: 113
-1: 148
0: 143
1: 76
2: 61
3: 28
4: 32
5: 4
6: 15
8: 4
10: 1
=
args: 4, 3
-1: 369
0: 175
1: 65
3: 15
5: 1
=
args: 4, 4
0: 625
=
args: 5, 0
-5: 1
-4: 5
-3: 15
-2: 30
-1: 50
0: 71
1: 100
2: 130
3: 170
4: 195
5: 226
6: 230
7: 255
8: 240
9: 255
10: 210
11: 215
12: 155
13: 165
14: 100
15: 111
16: 50
17: 65
18: 20
19: 35
20: 5
21: 15
23: 5
25: 1
=
args: 5, 1
-4: 21
-3: 70
-2: 150
-1: 215
0: 266
1: 280
2: 305
3: 285
4: 291
5: 240
6: 240
7: 170
8: 175
9: 105
10: 115
11: 50
12: 66
13: 20
14: 35
15: 5
16: 15
18: 5
20: 1
=
args: 5, 2
-3: 181
-2: 370
-1: 525
0: 486
1: 425
2: 305
3: 271
4: 160
5: 155
6: 75
7: 85
8: 20
9: 41
10: 5
11: 15
13: 5
15: 1
=
args: 5, 3
-2: 821
-1: 875
0: 701
1: 325
2: 206
3: 75
4: 80
5: 5
6: 31
8: 5
10: 1
=
args: 5, 4
-1: 2101
0: 781
1: 211
3: 31
5: 1
=
args: 6, 0
-6: 1
-5: 6
-4: 21
-3: 50
-2: 96
-1: 156
0: 237
1: 336
2: 465
3: 596
4: 741
5: 852
6: 981
7: 1050
8: 1146
9: 1130
10: 1161
11: 1050
12: 1045
13: 870
14: 846
15: 626
16: 606
17: 390
18: 396
19: 210
20: 231
21: 90
22: 120
23: 30
24: 56
25: 6
26: 21
28: 6
30: 1
=
args: 6, 1
-5: 25
-4: 105
-3: 275
-2: 495
-1: 731
0: 919
1: 1095
2: 1190
3: 1286
4: 1266
5: 1288
6: 1160
7: 1130
8: 930
9: 890
10: 650
11: 621
12: 396
13: 401
14: 210
15: 232
16: 90
17: 120
18: 30
19: 56
20: 6
21: 21
23: 6
25: 1
=
args: 6, 2
-4: 265
-3: 740
-2: 1385
-1: 1776
0: 1929
1: 1790
2: 1661
3: 1346
4: 1198
5: 890
6: 815
7: 510
8: 476
9: 246
10: 261
11: 90
12: 127
13: 30
14: 56
15: 6
16: 21
18: 6
20: 1
=
args: 6, 3
-3: 1545
-2: 2625
-1: 3231
0: 2644
1: 1986
2: 1236
3: 923
4: 480
5: 426
6: 186
7: 201
8: 30
9: 78
10: 6
11: 21
13: 6
15: 1
=
args: 6, 4
-2: 5385
-1: 4686
0: 3175
1: 1266
2: 659
3: 186
4: 192
5: 6
6: 63
8: 6
10: 1

x, y, z: {x}D[-1, 0, 1, 3, 5] drop lowest {y} drop highest {z}
=
args: 0, 0, 0
0: 1
=
args: 0, 0, 1
0: 1
=
args: 0, 0, 2
0: 1
=
args: 0, 1, 0
0: 1
=
args: 0, 1, 1
0: 1
=
args: 0, 1, 2
0: 1
=
args: 0, 2, 0
0: 1
=
args: 0, 2, 1
0: 1
=
args: 0, 2, 2
0: 1
=
args: 1, 0, 0
-1: 1
0: 1
1: 1
3: 1
5: 1
=
args: 1, 0, 1
0: 5
=
args: 1, 0, 2
0: 5
=
args: 1, 1, 0
0: 5
=
args: 1, 1, 1
0: 5
=
args: 1, 1, 2
0: 5
=
args: 1, 2, 0
0: 5
=
args: 1, 2, 1
0: 5
=
args: 1, 2, 2
0: 5
=
args: 2, 0, 0
-2: 1
-1: 2
0: 3
1: 2
2: 3
3: 2
4: 4
5: 2
6: 3
8: 2
10: 1
=
args: 2, 0, 1
-1: 9
0: 7
1: 5
3: 3
5: 1
=
args: 2, 0, 2
0: 25
=
args: 2, 1, 0
-1: 1
0: 3
1: 5
3: 7
5: 9
=
args: 2, 1, 1
0: 25
=
args: 2, 1, 2
0: 25
=
args: 2, 2, 0
0: 25
=
args: 2, 2, 1
0: 25
=
args: 2, 2, 2
0: 25
=
args: 3, 0, 0
-3: 1
-2: 3
-1: 6
0: 7
1: 9
2: 9
3: 13
4: 12
5: 15
6: 9
7: 12
8: 6
9: 10
10: 3
11: 6
13: 3
15: 1
=
args: 3, 0, 1
-2: 13
-1: 21
0: 25
1: 15
2: 16
3: 9
4: 12
5: 3
6: 7
8: 3
10: 1
=
args: 3, 0, 2
-1: 61
0: 37
1: 19
3: 7
5: 1
=
args: 3, 1, 0
-2: 1
-1: 3
0: 7
1: 9
2: 10
3: 9
4: 18
5: 9
6: 25
8: 21
10: 13
=
args: 3, 1, 1
-1: 13
0: 31
1: 37
3: 31
5: 13
=
args: 3, 1, 2
0: 125
=
args: 3, 2, 0
-1: 1
0: 7
1: 19
3: 37
5: 61
=
args: 3, 2, 1
0: 125
=
args: 3, 2, 2
0: 125
=
args: 4, 0, 0
-4: 1
-3: 4
-2: 10
-1: 16
0: 23
1: 28
2: 38
3: 44
4: 55
5: 52
6: 58
7: 48
8: 56
9: 40
10: 46
11: 24
12: 31
13: 12
14: 20
15: 4
16: 10
18: 4
20: 1
=
args: 4, 0, 1
-3: 17
-2: 42
-1: 70
0: 73
1: 76
2: 64
3: 69
4: 48
5: 52
6: 28
7: 34
8: 12
9: 21
10: 4
11: 10
13: 4
15: 1
=
args: 4, 0, 2
-2: 113
-1: 148
0: 143
1: 76
2: 61
3: 28
4: 32
5: 4
6: 15
8: 4
10: 1
=
args: 4, 1, 0
-3: 1
-2: 4
-1: 10
0: 17
1: 26
2: 30
3: 41
4: 48
5: 62
6: 54
7: 70
8: 36
9: 79
10: 18
11: 70
13: 42
15: 17
=
args: 4, 1, 1
-2: 17
-1: 42
0: 83
1: 90
2: 83
3: 54
4: 96
5: 18
6: 83
8: 42
10: 17
=
args: 4, 1, 2
-1: 113
0: 215
1: 185
3: 95
5: 17
=
args: 4, 2, 0
-2: 1
-1: 4
0: 15
1: 28
2: 37
3: 28
4: 80
5: 28
6: 143
8: 148
10: 113
=
args: 4, 2, 1
-1: 17
0: 95
1: 185
3: 215
5: 113
=
args: 4, 2, 2
0: 625
=
args: 5, 0, 0
-5: 1
-4: 5
-3: 15
-2: 30
-1: 50
0: 71
1: 100
2: 130
3: 170
4: 195
5: 226
6: 230
7: 255
8: 240
9: 255
10: 210
11: 215
12: 155
13: 165
14: 100
15: 111
16: 50
17: 65
18: 20
19: 35
20: 5
21: 15
23: 5
25: 1
=
args: 5, 0, 1
-4: 21
-3: 70
-2: 150
-1: 215
0: 266
1: 280
2: 305
3: 285
4: 291
5: 240
6: 240
7: 170
8: 175
9: 105
10: 115
11: 50
12: 66
13: 20
14: 35
15: 5
16: 15
18: 5
20: 1
=
args: 5, 0, 2
-3: 181
-2: 370
-1: 525
0: 486
1: 425
2: 305
3: 271
4: 160
5: 155
6: 75
7: 85
8: 20
9: 41
10: 5
11: 15
13: 5
15: 1
=
args: 5, 1, 0
-4: 1
-3: 5
-2: 15
-1: 30
0: 51
1: 75
2: 105
3: 135
4: 181
5: 205
6: 245
7: 240
8: 275
9: 240
10: 290
11: 180
12: 266
13: 90
14: 225
15: 30
16: 150
18: 70
20: 21
=
args: 5, 1, 1
-3: 21
-2: 70
-1: 150
0: 231
1: 300
2: 300
3: 321
4: 300
5: 320
6: 210
7: 300
8: 90
9: 241
10: 30
11: 150
13: 70
15: 21
=
args: 5, 1, 2
-2: 181
-1: 370
0: 631
1: 570
2: 451
3: 210
4: 360
5: 30
6: 231
8: 70
10: 21
=
args: 5, 2, 0
-3: 1
-2: 5
-1: 15
0: 36
1: 70
2: 90
3: 131
4: 160
5: 250
6: 210
7: 375
8: 140
9: 496
10: 70
11: 525
13: 370
15: 181
=
args: 5, 2, 1
-2: 21
-1: 70
0: 231
1: 350
2: 411
3: 210
4: 580
5: 70
6: 631
8: 370
10: 181
=
args: 5, 2, 2
-1: 181
0: 811
1: 1141
3: 811
5: 181
=
args: 6, 0, 0
-6: 1
-5: 6
-4: 21
-3: 50
-2: 96
-1: 156
0: 237
1: 336
2: 465
3: 596
4: 741
5: 852
6: 981
7: 1050
8: 1146
9: 1130
10: 1161
11: 1050
12: 1045
13: 870
14: 846
15: 626
16: 606
17: 390
18: 396
19: 210
20: 231
21: 90
22: 120
23: 30
24: 56
25: 6
26: 21
28: 6
30: 1
=
args: 6, 0, 1
-5: 25
-4: 105
-3: 275
-2: 495
-1: 731
0: 919
1: 1095
2: 1190
3: 1286
4: 1266
5: 1288
6: 1160
7: 1130
8: 930
9: 890
10: 650
11: 621
12: 396
13: 401
14: 210
15: 232
16: 90
17: 120
18: 30
19: 56
20: 6
21: 21
23: 6
25: 1
=
args: 6, 0, 2
-4: 265
-3: 740
-2: 1385
-1: 1776
0: 1929
1: 1790
2: 1661
3: 1346
4: 1198
5: 890
6: 815
7: 510
8: 476
9: 246
10: 261
11: 90
12: 127
13: 30
14: 56
15: 6
16: 21
18: 6
20: 1
=
args: 6, 1, 0
-5: 1
-4: 6
-3: 21
-2: 50
-1: 96
0: 157
1: 242
2: 345
3: 476
4: 615
5: 769
6: 885
7: 1031
8: 1080
9: 1211
10: 1155
11: 1235
12: 1035
13: 1130
14: 780
15: 969
16: 450
17: 746
18: 180
19: 510
20: 45
21: 275
23: 105
25: 25
=
args: 6, 1, 1
-4: 25
-3: 105
-2: 275
-1: 495
0: 750
1: 975
2: 1160
3: 1230
4: 1365
5: 1305
6: 1355
7: 1170
8: 1210
9: 825
10: 1025
11: 450
12: 765
13: 180
14: 510
15: 45
16: 275
18: 105
20: 25
=
args: 6, 1, 2
-3: 265
-2: 740
-1: 1385
0: 1930
1: 2155
2: 1905
3: 1685
4: 1320
5: 1285
6: 675
7: 1025
8: 180
9: 625
10: 45
11: 275
13: 105
15: 25
=
args: 6, 2, 0
-4: 1
-3: 6
-2: 21
-1: 50
0: 103
1: 186
2: 281
3: 386
4: 568
5: 696
6: 951
7: 960
8: 1286
9: 1040
10: 1655
11: 840
12: 1849
13: 420
14: 1796
15: 140
16: 1385
18: 740
20: 265
=
args: 6, 2, 1
-3: 25
-2: 105
-1: 275
0: 610
1: 1010
2: 1160
3: 1375
4: 1320
5: 1790
6: 980
7: 2075
8: 420
9: 1950
10: 140
11: 1385
13: 740
15: 265
=
args: 6, 2, 2
-2: 265
-1: 740
0: 2175
1: 2660
2: 2805
3: 980
4: 2680
5: 140
6: 2175
8: 740
10: 265

[[1:3]:[1:3]]
=
0: 3
1: 3
2: 4
3: 3

(1D3)D3
=
1: 1
2: 2
3: 4
4: 6
5: 8
6: 8
7: 6
8: 3
9: 1

1D(1D3)
=
1: 3
2: 2
3: 1

2D(1D3)
=
2: 3
3: 4
4: 4
5: 2
6: 1

3D(1D3)
=
3: 3
4: 6
5: 9
6: 8
7: 6
8: 3
9: 1

(1D3)D(1D3)
=
1: 3
2: 5
3: 8
4: 10
5: 11
6: 9
7: 6
8: 3
9: 1

([[1:3]:[3:6]])D(1D3)
=
1: 12
2: 32
3: 72
4: 131
5: 214
6: 317
7: 438
8: 564
9: 666
10: 717
11: 702
12: 615
13: 468
14: 300
15: 156
16: 63
17: 18
18: 3

([[1:3]:[3:6]])D[-1, 0, 1]
=
-6: 3
-5: 24
-4: 102
-3: 288
-2: 584
-1: 884
0: 1012
1: 884
2: 584
3: 288
4: 102
5: 24
6: 3

(1D3)D[-1, 0, 1]
=
-3: 1
-2: 4
-1: 9
0: 11
1: 9
2: 4
3: 1

(1D3)D(1D3) + (1D3)D[-1, 0, 1]
=
-2: 3
-1: 17
0: 55
1: 120
2: 205
3: 288
4: 346
5: 356
6: 313
7: 232
8: 143
9: 71
10: 27
11: 7
12: 1

(1D3)D(1D3) - (1D3)D[-1, 0, 1]
=
-2: 3
-1: 17
0: 55
1: 120
2: 205
3: 288
4: 346
5: 356
6: 313
7: 232
8: 143
9: 71
10: 27
11: 7
12: 1

(1D3)D(1D3) * (1D3)D[-1, 0, 1]
=
-27: 1
-24: 3
-21: 6
-18: 13
-16: 12
-15: 11
-14: 24
-12: 46
-10: 44
-9: 17
-8: 67
-7: 54
-6: 118
-5: 99
-4: 110
-3: 75
-2: 57
-1: 27
0: 616
1: 27
2: 57
3: 75
4: 110
5: 99
6: 118
7: 54
8: 67
9: 17
10: 44
12: 46
14: 24
15: 11
16: 12
18: 13
21: 6
24: 3
27: 1

(1D3)D(1D3) / (1D3)D[-1, 0, 1]
=
-9: 9
-8: 27
-7: 54
-6: 81
-5: 99
-4: 106
-3: 133
-2: 147
-1: 108
0: 656
1: 108
2: 147
3: 133
4: 106
5: 99
6: 81
7: 54
8: 27
9: 9

(1D3)D(1D3) % (1D3)D[-1, 0, 1]
=
0: 1876
1: 270
2: 38

(1D3)D(1D3) ^ (1D3)D[-1, 0, 1]
=
0: 742
1: 700
2: 45
3: 72
4: 110
5: 99
6: 81
7: 54
8: 32
9: 41
16: 40
25: 44
27: 8
36: 36
49: 24
64: 22
81: 4
125: 11
216: 9
343: 6
512: 3
729: 1

-(1D3)D(1D3)
=
-9: 1
-8: 3
-7: 6
-6: 9
-5: 11
-4: 10
-3: 8
-2: 5
-1: 3