messages listlengths 1 1 | ground_truth stringlengths 3 6 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "In a 18x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 4), (13, 8), (16, 1), (16, 0), (5, 4), (4, 7), (10, 3), (6, 5), ... | 78353 | MATH |
[
{
"content": "In a 18x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 11), (15, 12), (14, 3), (4, 10), (7, 5), (8, 14), (7, 11), (3, 1... | 821409 | MATH |
[
{
"content": "In a 13x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (12, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 6), (10, 13), (2, 12), (11, 7), (1, 4), (1, 1), (1, 8), (11, 16... | 971170 | MATH |
[
{
"content": "In a 11x16 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 15), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 2), (3, 11), (1, 7), (4, 6), (6, 0), (9, 9), (10, 2), (5, 7), (0... | 771077 | MATH |
[
{
"content": "In a 15x13 grid, how many different paths are there from the bottom left (0, 0) to the top right (14, 12), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 3), (1, 1), (7, 3), (1, 9), (7, 10), (12, 3), (8, 7), (8, 8), (1... | 787846 | MATH |
[
{
"content": "In a 19x16 grid, how many different paths are there from the bottom left (0, 0) to the top right (18, 15), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (10, 14), (3, 4), (12, 11), (3, 2), (14, 0), (4, 8), (4, 7), (3, 0),... | 744729 | MATH |
[
{
"content": "In a 13x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (12, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 12), (6, 11), (5, 3), (0, 10), (1, 5), (7, 2), (5, 11), (11, 1),... | 747558 | MATH |
[
{
"content": "In a 11x18 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 17), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 15), (10, 9), (6, 0), (6, 11), (8, 12), (1, 6), (4, 10), (0, 2),... | 633829 | MATH |
[
{
"content": "In a 11x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 2), (4, 1), (5, 10), (4, 7), (3, 4), (5, 8), (3, 1), (2, 0), (2,... | 256953 | MATH |
[
{
"content": "In a 16x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (15, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 3), (1, 2), (3, 8), (11, 10), (12, 10), (2, 7), (5, 6), (9, 10)... | 985095 | MATH |
[
{
"content": "In a 13x16 grid, how many different paths are there from the bottom left (0, 0) to the top right (12, 15), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 2), (9, 0), (11, 8), (8, 9), (6, 9), (0, 15), (5, 12), (4, 13), ... | 760406 | MATH |
[
{
"content": "In a 17x13 grid, how many different paths are there from the bottom left (0, 0) to the top right (16, 12), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 0), (3, 2), (10, 1), (14, 5), (14, 8), (4, 0), (15, 3), (0, 11),... | 922691 | MATH |
[
{
"content": "In a 19x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (18, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 1), (4, 10), (3, 9), (1, 2), (17, 4), (8, 6), (3, 3), (12, 10), ... | 893218 | MATH |
[
{
"content": "In a 14x14 grid, how many different paths are there from the bottom left (0, 0) to the top right (13, 13), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 11), (0, 3), (7, 12), (10, 7), (1, 8), (11, 3), (5, 9), (10, 1),... | 806310 | MATH |
[
{
"content": "In a 18x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 0), (3, 3), (3, 8), (15, 0), (0, 7), (11, 9), (16, 2), (8, 0), (... | 729744 | MATH |
[
{
"content": "In a 19x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (18, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 9), (17, 4), (4, 12), (16, 1), (18, 4), (5, 13), (12, 8), (4, 11... | 656630 | MATH |
[
{
"content": "In a 11x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (10, 5), (0, 7), (0, 4), (7, 1), (10, 4), (0, 1), (0, 6), (8, 1), (6,... | 37978 | MATH |
[
{
"content": "In a 10x17 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 16), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 13), (4, 11), (4, 5), (1, 10), (8, 7), (1, 8), (0, 10), (0, 6), (... | 165365 | MATH |
[
{
"content": "In a 16x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (15, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 8), (9, 4), (12, 0), (14, 1), (1, 4), (3, 1), (11, 4), (5, 9), (1... | 90180 | MATH |
[
{
"content": "In a 12x14 grid, how many different paths are there from the bottom left (0, 0) to the top right (11, 13), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 10), (9, 1), (4, 13), (5, 6), (8, 6), (6, 13), (9, 10), (5, 7), ... | 82661 | MATH |
[
{
"content": "In a 13x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (12, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 7), (1, 11), (7, 1), (0, 3), (6, 2), (3, 13), (3, 11), (2, 11), ... | 872112 | MATH |
[
{
"content": "In a 12x17 grid, how many different paths are there from the bottom left (0, 0) to the top right (11, 16), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 8), (4, 2), (5, 4), (8, 7), (1, 6), (6, 14), (2, 2), (2, 6), (0,... | 606801 | MATH |
[
{
"content": "In a 14x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (13, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 7), (1, 7), (6, 10), (13, 2), (8, 8), (8, 6), (2, 1), (12, 8), (... | 362792 | MATH |
[
{
"content": "In a 19x11 grid, how many different paths are there from the bottom left (0, 0) to the top right (18, 10), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (13, 3), (1, 10), (3, 8), (1, 3), (7, 1), (12, 7), (18, 8), (6, 5), ... | 829610 | MATH |
[
{
"content": "In a 10x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 8), (1, 13), (1, 10), (3, 8), (6, 8), (2, 9), (3, 11), (2, 8), (9... | 302799 | MATH |
[
{
"content": "In a 15x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (14, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (14, 3), (6, 4), (0, 8), (14, 14), (3, 14), (1, 3), (8, 14), (2, 10)... | 757386 | MATH |
[
{
"content": "In a 16x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (15, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 6), (15, 12), (2, 14), (8, 8), (9, 9), (7, 7), (3, 12), (14, 0)... | 683879 | MATH |
[
{
"content": "In a 14x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (13, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 1), (12, 11), (2, 2), (12, 2), (4, 3), (11, 10), (7, 8), (1, 3),... | 24808 | MATH |
[
{
"content": "In a 13x16 grid, how many different paths are there from the bottom left (0, 0) to the top right (12, 15), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 0), (6, 4), (1, 11), (2, 6), (7, 1), (12, 4), (11, 3), (8, 8), (... | 797354 | MATH |
[
{
"content": "In a 13x18 grid, how many different paths are there from the bottom left (0, 0) to the top right (12, 17), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 6), (12, 13), (8, 14), (9, 11), (11, 13), (0, 5), (0, 16), (10, ... | 860919 | MATH |
[
{
"content": "In a 12x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (11, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 10), (7, 1), (8, 11), (7, 12), (3, 11), (10, 12), (8, 7), (1, 3)... | 45049 | MATH |
[
{
"content": "In a 14x16 grid, how many different paths are there from the bottom left (0, 0) to the top right (13, 15), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 1), (12, 7), (10, 3), (0, 11), (3, 14), (4, 6), (6, 6), (5, 4), ... | 732165 | MATH |
[
{
"content": "In a 19x11 grid, how many different paths are there from the bottom left (0, 0) to the top right (18, 10), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 6), (12, 1), (4, 0), (8, 1), (15, 4), (4, 7), (11, 2), (2, 1), (... | 978115 | MATH |
[
{
"content": "In a 15x18 grid, how many different paths are there from the bottom left (0, 0) to the top right (14, 17), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 7), (4, 5), (11, 0), (12, 14), (13, 12), (11, 11), (14, 9), (7, ... | 506738 | MATH |
[
{
"content": "In a 18x14 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 13), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (16, 5), (10, 7), (11, 2), (9, 1), (10, 0), (13, 3), (10, 12), (11, ... | 607067 | MATH |
[
{
"content": "In a 16x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (15, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (12, 0), (0, 4), (13, 4), (10, 8), (13, 1), (10, 6), (4, 4), (1, 0), ... | 9595 | MATH |
[
{
"content": "In a 16x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (15, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 9), (14, 4), (1, 10), (7, 5), (9, 2), (8, 4), (8, 10), (9, 1), (... | 471671 | MATH |
[
{
"content": "In a 12x16 grid, how many different paths are there from the bottom left (0, 0) to the top right (11, 15), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 0), (4, 7), (6, 8), (7, 11), (8, 11), (7, 2), (8, 7), (2, 9), (1... | 254407 | MATH |
[
{
"content": "In a 12x14 grid, how many different paths are there from the bottom left (0, 0) to the top right (11, 13), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 8), (5, 4), (7, 11), (8, 1), (0, 5), (9, 8), (8, 4), (2, 13), (2... | 47702 | MATH |
[
{
"content": "In a 11x11 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 10), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 7), (6, 7), (7, 6), (8, 5), (1, 2), (4, 8), (4, 4), (2, 6), (1, ... | 2846 | MATH |
[
{
"content": "In a 12x17 grid, how many different paths are there from the bottom left (0, 0) to the top right (11, 16), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 1), (1, 8), (4, 7), (9, 15), (11, 12), (0, 5), (5, 9), (6, 0), (... | 984975 | MATH |
[
{
"content": "In a 19x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (18, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 5), (8, 0), (14, 5), (16, 1), (7, 8), (5, 3), (2, 7), (13, 6), (1... | 575969 | MATH |
[
{
"content": "In a 12x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (11, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 8), (6, 14), (7, 9), (2, 14), (7, 14), (7, 4), (5, 7), (7, 6), (... | 978541 | MATH |
[
{
"content": "In a 13x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (12, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 11), (5, 13), (7, 15), (7, 12), (0, 14), (5, 9), (6, 18), (3, 10... | 856062 | MATH |
[
{
"content": "In a 12x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (11, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 3), (10, 0), (11, 6), (4, 11), (5, 11), (11, 9), (5, 1), (6, 10)... | 610879 | MATH |
[
{
"content": "In a 10x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 11), (0, 11), (8, 4), (2, 2), (1, 12), (9, 3), (9, 5), (8, 5), (2... | 182677 | MATH |
[
{
"content": "In a 13x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (12, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 2), (12, 0), (4, 9), (5, 4), (9, 3), (7, 9), (3, 7), (6, 6)?\n\n... | 279333 | MATH |
[
{
"content": "In a 18x16 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 15), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (12, 15), (5, 6), (17, 4), (9, 2), (10, 5), (15, 14), (7, 9), (16, 3... | 155004 | MATH |
[
{
"content": "In a 11x16 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 15), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 5), (3, 7), (5, 5), (4, 7), (5, 15), (5, 7), (2, 10), (10, 1), (... | 644340 | MATH |
[
{
"content": "In a 17x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (16, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 3), (14, 8), (1, 4), (8, 11), (2, 12), (3, 12), (0, 11), (9, 3),... | 836834 | MATH |
[
{
"content": "In a 17x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (16, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 4), (7, 6), (1, 2), (8, 7), (16, 2), (15, 8), (7, 8), (14, 4), (... | 252728 | MATH |
[
{
"content": "In a 18x14 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 13), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 3), (11, 4), (1, 2), (1, 8), (17, 6), (14, 8), (14, 0), (14, 11)... | 895646 | MATH |
[
{
"content": "In a 16x18 grid, how many different paths are there from the bottom left (0, 0) to the top right (15, 17), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 6), (8, 9), (8, 4), (13, 1), (2, 1), (10, 4), (13, 2), (11, 17),... | 538996 | MATH |
[
{
"content": "In a 11x13 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 12), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 8), (6, 4), (9, 8), (7, 8), (0, 2), (1, 6), (7, 2), (2, 6), (2, ... | 49228 | MATH |
[
{
"content": "In a 13x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (12, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 11), (0, 1), (2, 0), (10, 6), (11, 11), (12, 2), (2, 7), (1, 4),... | 759507 | MATH |
[
{
"content": "In a 19x18 grid, how many different paths are there from the bottom left (0, 0) to the top right (18, 17), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 16), (2, 1), (14, 2), (13, 15), (12, 14), (2, 13), (5, 2), (12, ... | 564450 | MATH |
[
{
"content": "In a 17x16 grid, how many different paths are there from the bottom left (0, 0) to the top right (16, 15), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 12), (14, 5), (9, 5), (1, 0), (5, 1), (14, 3), (15, 4), (7, 5), ... | 864967 | MATH |
[
{
"content": "In a 13x13 grid, how many different paths are there from the bottom left (0, 0) to the top right (12, 12), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 5), (4, 5), (10, 4), (3, 10), (2, 10), (0, 1), (4, 0), (0, 9), (... | 146688 | MATH |
[
{
"content": "In a 18x18 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 17), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 17), (10, 0), (8, 1), (10, 8), (8, 15), (0, 5), (7, 15), (14, 17... | 998054 | MATH |
[
{
"content": "In a 13x17 grid, how many different paths are there from the bottom left (0, 0) to the top right (12, 16), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 2), (0, 10), (0, 1), (8, 2), (4, 13), (12, 11), (6, 5), (1, 11),... | 810236 | MATH |
[
{
"content": "In a 15x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (14, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 9), (5, 2), (14, 8), (1, 15), (5, 17), (6, 16), (12, 8), (10, 14... | 953337 | MATH |
[
{
"content": "In a 13x13 grid, how many different paths are there from the bottom left (0, 0) to the top right (12, 12), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 11), (10, 1), (11, 6), (6, 8), (8, 5), (12, 3), (11, 0), (2, 6),... | 437379 | MATH |
[
{
"content": "In a 17x16 grid, how many different paths are there from the bottom left (0, 0) to the top right (16, 15), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (12, 10), (0, 4), (15, 8), (3, 7), (9, 5), (13, 3), (5, 4), (3, 6), ... | 760451 | MATH |
[
{
"content": "In a 10x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 8), (3, 6), (8, 12), (5, 11), (0, 4), (4, 13), (5, 6), (7, 14), (... | 251430 | MATH |
[
{
"content": "In a 11x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 18), (9, 0), (5, 13), (4, 10), (10, 14), (2, 17), (9, 3), (4, 1)... | 768835 | MATH |
[
{
"content": "In a 16x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (15, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 3), (11, 0), (12, 16), (0, 15), (14, 8), (8, 9), (6, 2), (14, 10... | 708373 | MATH |
[
{
"content": "In a 11x16 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 15), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (10, 6), (10, 12), (4, 15), (8, 5), (3, 5), (3, 11), (3, 8), (10, 9)... | 435456 | MATH |
[
{
"content": "In a 17x17 grid, how many different paths are there from the bottom left (0, 0) to the top right (16, 16), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (10, 3), (7, 3), (10, 1), (3, 0), (16, 13), (1, 10), (10, 11), (6, 1... | 775048 | MATH |
[
{
"content": "In a 12x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (11, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 3), (7, 13), (6, 2), (3, 7), (3, 12), (4, 12), (3, 9), (11, 12),... | 793814 | MATH |
[
{
"content": "In a 11x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 10), (8, 9), (1, 6), (6, 4), (5, 3), (8, 4), (3, 7), (8, 10), (6... | 46737 | MATH |
[
{
"content": "In a 18x14 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 13), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 11), (8, 2), (1, 12), (1, 13), (11, 4), (6, 2), (6, 1), (8, 4), ... | 936215 | MATH |
[
{
"content": "In a 15x11 grid, how many different paths are there from the bottom left (0, 0) to the top right (14, 10), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 0), (4, 6), (12, 3), (11, 8), (11, 4), (0, 4), (8, 6), (3, 2), (... | 195305 | MATH |
[
{
"content": "In a 13x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (12, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 1), (12, 4), (5, 7), (11, 3), (4, 7), (11, 0), (0, 1), (12, 8), ... | 53352 | MATH |
[
{
"content": "In a 12x14 grid, how many different paths are there from the bottom left (0, 0) to the top right (11, 13), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 2), (6, 2), (0, 2), (0, 12), (4, 3), (2, 12), (9, 0), (6, 4), (... | 766164 | MATH |
[
{
"content": "In a 18x16 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 15), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (14, 5), (1, 12), (12, 9), (9, 8), (9, 6), (12, 14), (8, 3), (15, 4)... | 913610 | MATH |
[
{
"content": "In a 10x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 4), (4, 3), (1, 10), (1, 4), (8, 3), (2, 2), (5, 10), (5, 6), (3,... | 15688 | MATH |
[
{
"content": "In a 17x16 grid, how many different paths are there from the bottom left (0, 0) to the top right (16, 15), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 2), (16, 6), (0, 12), (12, 11), (3, 14), (0, 11), (4, 7), (15, 1... | 943633 | MATH |
[
{
"content": "In a 14x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (13, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 7), (10, 2), (5, 0), (6, 6), (7, 4), (5, 1), (12, 4), (9, 6), (8,... | 13308 | MATH |
[
{
"content": "In a 17x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (16, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (13, 11), (12, 9), (4, 13), (12, 8), (2, 12), (14, 5), (1, 5), (10, ... | 863738 | MATH |
[
{
"content": "In a 18x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (16, 8), (5, 2), (3, 8), (13, 17), (8, 16), (16, 4), (14, 9), (5, 18... | 504212 | MATH |
[
{
"content": "In a 16x18 grid, how many different paths are there from the bottom left (0, 0) to the top right (15, 17), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (12, 5), (14, 15), (15, 2), (11, 7), (11, 15), (13, 15), (2, 3), (2,... | 265734 | MATH |
[
{
"content": "In a 16x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (15, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 6), (3, 15), (13, 5), (8, 8), (4, 8), (11, 7), (3, 16), (13, 14)... | 208508 | MATH |
[
{
"content": "In a 12x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (11, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 5), (2, 9), (5, 11), (4, 0), (6, 9), (0, 13), (9, 9), (10, 4), (... | 125717 | MATH |
[
{
"content": "In a 15x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (14, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (13, 8), (1, 1), (2, 5), (3, 3), (4, 2), (10, 0), (10, 6), (5, 4), (... | 41100 | MATH |
[
{
"content": "In a 18x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 7), (9, 7), (1, 8), (9, 0), (1, 3), (1, 2), (11, 5), (16, 2), (7,... | 36000 | MATH |
[
{
"content": "In a 14x17 grid, how many different paths are there from the bottom left (0, 0) to the top right (13, 16), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 13), (13, 5), (0, 9), (0, 5), (12, 12), (2, 5), (6, 14), (6, 6)... | 820722 | MATH |
[
{
"content": "In a 17x14 grid, how many different paths are there from the bottom left (0, 0) to the top right (16, 13), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (10, 11), (4, 1), (3, 0), (10, 5), (6, 4), (16, 5), (2, 10), (12, 13... | 485060 | MATH |
[
{
"content": "In a 14x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (13, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (13, 9), (6, 8), (1, 13), (13, 12), (13, 10), (11, 14), (5, 13), (5,... | 247377 | MATH |
[
{
"content": "In a 16x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (15, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 4), (2, 1), (12, 18), (15, 17), (3, 10), (7, 12), (10, 1), (4, 1... | 854928 | MATH |
[
{
"content": "In a 12x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (11, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 3), (6, 8), (4, 9), (11, 9), (7, 16), (4, 11), (1, 9), (4, 16), ... | 818373 | MATH |
[
{
"content": "In a 11x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 5), (2, 8), (3, 4), (8, 9), (8, 0), (7, 6), (6, 7), (9, 3), (9, 4... | 15466 | MATH |
[
{
"content": "In a 17x14 grid, how many different paths are there from the bottom left (0, 0) to the top right (16, 13), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 12), (15, 7), (14, 7), (12, 8), (12, 0), (15, 10), (11, 0), (6, ... | 841732 | MATH |
[
{
"content": "In a 18x13 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 12), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 7), (7, 10), (10, 8), (7, 5), (0, 8), (7, 2), (1, 2), (9, 3), (1... | 717531 | MATH |
[
{
"content": "In a 19x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (18, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 3), (2, 5), (4, 10), (17, 10), (18, 8), (8, 8), (8, 10), (15, 2)... | 986889 | MATH |
[
{
"content": "In a 14x17 grid, how many different paths are there from the bottom left (0, 0) to the top right (13, 16), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 7), (12, 12), (10, 0), (11, 4), (10, 3), (13, 10), (9, 9), (1, 2... | 906702 | MATH |
[
{
"content": "In a 10x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 3), (3, 5), (1, 6), (2, 7), (4, 0), (4, 6), (1, 9), (3, 6), (5, 1... | 26878 | MATH |
[
{
"content": "In a 10x18 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 17), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 10), (6, 8), (4, 10), (0, 17), (8, 0), (1, 10), (2, 17), (3, 14)?... | 905004 | MATH |
[
{
"content": "In a 19x11 grid, how many different paths are there from the bottom left (0, 0) to the top right (18, 10), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 1), (0, 10), (11, 3), (15, 9), (15, 8), (13, 5), (7, 7), (7, 10)... | 82014 | MATH |
[
{
"content": "In a 11x14 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 13), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (10, 0), (3, 0), (7, 2), (0, 7), (4, 4), (0, 4), (0, 1), (6, 1), (2,... | 222491 | MATH |
[
{
"content": "In a 11x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 11), (0, 11), (0, 1), (1, 3), (8, 6), (6, 5), (2, 10), (9, 9), (... | 123434 | MATH |
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