messages listlengths 1 1 | ground_truth stringlengths 3 6 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "In a 34x36 grid, how many different paths are there from the bottom left (0, 0) to the top right (33, 35), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (23, 1), (19, 31), (4, 3), (30, 16), (18, 17), (20, 10), (9, 15), (2... | 777600 | MATH |
[
{
"content": "In a 37x30 grid, how many different paths are there from the bottom left (0, 0) to the top right (36, 29), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (32, 21), (11, 1), (30, 16), (19, 26), (32, 26), (25, 6), (11, 22), ... | 976200 | MATH |
[
{
"content": "In a 35x38 grid, how many different paths are there from the bottom left (0, 0) to the top right (34, 37), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (23, 18), (22, 37), (10, 15), (27, 33), (29, 14), (4, 20), (16, 22),... | 543244 | MATH |
[
{
"content": "In a 39x34 grid, how many different paths are there from the bottom left (0, 0) to the top right (38, 33), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (33, 4), (22, 12), (2, 13), (6, 1), (26, 26), (5, 20), (24, 8), (5, ... | 25632 | MATH |
[
{
"content": "In a 36x38 grid, how many different paths are there from the bottom left (0, 0) to the top right (35, 37), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (22, 25), (6, 25), (25, 17), (26, 3), (13, 30), (27, 36), (7, 30), (... | 792000 | MATH |
[
{
"content": "In a 35x37 grid, how many different paths are there from the bottom left (0, 0) to the top right (34, 36), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 25), (23, 6), (25, 18), (5, 5), (9, 5), (25, 11), (22, 36), (6, ... | 657660 | MATH |
[
{
"content": "In a 39x32 grid, how many different paths are there from the bottom left (0, 0) to the top right (38, 31), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (16, 4), (2, 5), (6, 29), (13, 10), (28, 15), (19, 18), (38, 1), (3,... | 766080 | MATH |
[
{
"content": "In a 33x38 grid, how many different paths are there from the bottom left (0, 0) to the top right (32, 37), 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), (14, 24), (1, 11), (24, 16), (9, 31), (31, 32), (12, 32), (... | 838200 | MATH |
[
{
"content": "In a 33x32 grid, how many different paths are there from the bottom left (0, 0) to the top right (32, 31), 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), (19, 19), (16, 10), (14, 3), (3, 31), (20, 29), (16, 28), (2... | 949536 | MATH |
[
{
"content": "In a 37x35 grid, how many different paths are there from the bottom left (0, 0) to the top right (36, 34), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (13, 14), (19, 30), (22, 29), (15, 17), (33, 24), (24, 2), (18, 16),... | 677160 | MATH |
[
{
"content": "In a 36x32 grid, how many different paths are there from the bottom left (0, 0) to the top right (35, 31), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 30), (17, 22), (22, 16), (20, 7), (8, 10), (1, 26), (17, 26), (2... | 277992 | MATH |
[
{
"content": "In a 35x31 grid, how many different paths are there from the bottom left (0, 0) to the top right (34, 30), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 8), (8, 4), (20, 9), (19, 13), (12, 27), (34, 26), (25, 20), (32... | 660504 | MATH |
[
{
"content": "In a 35x31 grid, how many different paths are there from the bottom left (0, 0) to the top right (34, 30), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (32, 17), (10, 5), (20, 3), (24, 18), (25, 23), (7, 14), (2, 29), (6... | 738576 | MATH |
[
{
"content": "In a 36x33 grid, how many different paths are there from the bottom left (0, 0) to the top right (35, 32), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (29, 11), (5, 23), (24, 3), (20, 11), (29, 26), (20, 7), (12, 0), (1... | 767760 | MATH |
[
{
"content": "In a 38x30 grid, how many different paths are there from the bottom left (0, 0) to the top right (37, 29), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (37, 6), (37, 16), (37, 13), (37, 15), (20, 15), (11, 18), (31, 12),... | 748440 | MATH |
[
{
"content": "In a 32x33 grid, how many different paths are there from the bottom left (0, 0) to the top right (31, 32), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (28, 28), (16, 16), (22, 16), (26, 16), (20, 7), (18, 8), (22, 31), ... | 601600 | MATH |
[
{
"content": "In a 36x32 grid, how many different paths are there from the bottom left (0, 0) to the top right (35, 31), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 20), (35, 26), (14, 4), (14, 11), (13, 25), (33, 14), (11, 6), (... | 476196 | MATH |
[
{
"content": "In a 37x32 grid, how many different paths are there from the bottom left (0, 0) to the top right (36, 31), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (17, 23), (30, 29), (20, 29), (36, 9), (18, 11), (16, 26), (27, 2), ... | 402300 | MATH |
[
{
"content": "In a 36x30 grid, how many different paths are there from the bottom left (0, 0) to the top right (35, 29), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (35, 6), (12, 22), (32, 23), (4, 1), (12, 7), (21, 9), (30, 22), (9,... | 850432 | MATH |
[
{
"content": "In a 32x33 grid, how many different paths are there from the bottom left (0, 0) to the top right (31, 32), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (15, 30), (18, 4), (19, 13), (29, 25), (4, 6), (18, 25), (20, 19), (... | 490960 | MATH |
[
{
"content": "In a 35x37 grid, how many different paths are there from the bottom left (0, 0) to the top right (34, 36), 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), (17, 22), (26, 28), (27, 12), (30, 14), (18, 20), (6, 4), (... | 944748 | MATH |
[
{
"content": "In a 31x34 grid, how many different paths are there from the bottom left (0, 0) to the top right (30, 33), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (28, 27), (26, 18), (27, 30), (11, 3), (4, 26), (11, 15), (16, 1), (... | 293876 | MATH |
[
{
"content": "In a 30x37 grid, how many different paths are there from the bottom left (0, 0) to the top right (29, 36), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 1), (13, 31), (10, 24), (7, 11), (5, 28), (27, 35), (29, 10), (1... | 987840 | MATH |
[
{
"content": "In a 37x33 grid, how many different paths are there from the bottom left (0, 0) to the top right (36, 32), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 32), (1, 2), (0, 30), (1, 28), (20, 13), (15, 24), (1, 27), (19,... | 623700 | MATH |
[
{
"content": "In a 33x34 grid, how many different paths are there from the bottom left (0, 0) to the top right (32, 33), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (25, 22), (20, 23), (20, 6), (3, 20), (28, 17), (8, 16), (30, 20), (... | 864000 | MATH |
[
{
"content": "In a 35x32 grid, how many different paths are there from the bottom left (0, 0) to the top right (34, 31), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (20, 13), (10, 26), (9, 31), (21, 17), (19, 5), (9, 29), (29, 18), (... | 724356 | MATH |
[
{
"content": "In a 34x36 grid, how many different paths are there from the bottom left (0, 0) to the top right (33, 35), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (18, 14), (23, 28), (27, 19), (30, 15), (29, 20), (25, 31), (2, 34),... | 795600 | MATH |
[
{
"content": "In a 38x33 grid, how many different paths are there from the bottom left (0, 0) to the top right (37, 32), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (33, 21), (6, 1), (2, 4), (36, 25), (12, 16), (17, 15), (5, 12), (24... | 303744 | MATH |
[
{
"content": "In a 35x37 grid, how many different paths are there from the bottom left (0, 0) to the top right (34, 36), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (31, 25), (4, 22), (33, 23), (9, 8), (23, 22), (1, 11), (4, 19), (8,... | 691200 | MATH |
[
{
"content": "In a 36x33 grid, how many different paths are there from the bottom left (0, 0) to the top right (35, 32), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (33, 5), (28, 4), (20, 22), (4, 32), (34, 28), (3, 17), (16, 29), (0... | 720450 | MATH |
[
{
"content": "In a 39x33 grid, how many different paths are there from the bottom left (0, 0) to the top right (38, 32), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (24, 9), (38, 29), (0, 2), (33, 17), (2, 32), (14, 30), (6, 32), (6,... | 706640 | MATH |
[
{
"content": "In a 30x32 grid, how many different paths are there from the bottom left (0, 0) to the top right (29, 31), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (14, 13), (26, 27), (19, 12), (23, 10), (16, 24), (1, 21), (1, 4), (... | 867672 | MATH |
[
{
"content": "In a 38x30 grid, how many different paths are there from the bottom left (0, 0) to the top right (37, 29), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (15, 18), (22, 5), (7, 25), (34, 13), (20, 1), (11, 3), (25, 16), (8... | 967680 | MATH |
[
{
"content": "In a 36x31 grid, how many different paths are there from the bottom left (0, 0) to the top right (35, 30), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (25, 9), (10, 9), (12, 11), (19, 20), (4, 10), (28, 20), (35, 24), (... | 209916 | MATH |
[
{
"content": "In a 37x31 grid, how many different paths are there from the bottom left (0, 0) to the top right (36, 30), 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), (25, 22), (5, 12), (36, 12), (24, 9), (6, 22), (23, 14), (8... | 943488 | MATH |
[
{
"content": "In a 30x38 grid, how many different paths are there from the bottom left (0, 0) to the top right (29, 37), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (22, 16), (1, 3), (10, 26), (11, 28), (24, 28), (21, 28), (1, 18), (... | 239184 | MATH |
[
{
"content": "In a 30x39 grid, how many different paths are there from the bottom left (0, 0) to the top right (29, 38), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 36), (25, 28), (19, 14), (0, 27), (5, 10), (3, 0), (6, 30), (7, ... | 823680 | MATH |
[
{
"content": "In a 38x38 grid, how many different paths are there from the bottom left (0, 0) to the top right (37, 37), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (34, 30), (32, 12), (15, 31), (21, 23), (28, 36), (4, 19), (20, 37),... | 391680 | MATH |
[
{
"content": "In a 39x34 grid, how many different paths are there from the bottom left (0, 0) to the top right (38, 33), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 5), (14, 21), (35, 21), (0, 21), (24, 24), (18, 20), (12, 30), ... | 742400 | MATH |
[
{
"content": "In a 30x32 grid, how many different paths are there from the bottom left (0, 0) to the top right (29, 31), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (13, 27), (29, 3), (24, 27), (21, 24), (4, 6), (9, 24), (8, 4), (2, ... | 921600 | MATH |
[
{
"content": "In a 31x33 grid, how many different paths are there from the bottom left (0, 0) to the top right (30, 32), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 20), (7, 2), (11, 31), (14, 24), (16, 7), (30, 31), (4, 2), (30,... | 555738 | MATH |
[
{
"content": "In a 35x37 grid, how many different paths are there from the bottom left (0, 0) to the top right (34, 36), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 12), (1, 5), (18, 14), (12, 15), (31, 3), (24, 32), (29, 31), (... | 449280 | MATH |
[
{
"content": "In a 34x33 grid, how many different paths are there from the bottom left (0, 0) to the top right (33, 32), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (16, 26), (13, 21), (1, 4), (26, 14), (24, 10), (18, 27), (13, 20), ... | 642024 | MATH |
[
{
"content": "In a 31x31 grid, how many different paths are there from the bottom left (0, 0) to the top right (30, 30), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 5), (29, 14), (19, 30), (28, 9), (13, 6), (3, 26), (18, 14), (12... | 891000 | MATH |
[
{
"content": "In a 34x38 grid, how many different paths are there from the bottom left (0, 0) to the top right (33, 37), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (13, 30), (11, 5), (6, 13), (21, 33), (30, 14), (24, 4), (17, 15), (... | 967104 | MATH |
[
{
"content": "In a 39x30 grid, how many different paths are there from the bottom left (0, 0) to the top right (38, 29), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (28, 2), (11, 22), (23, 25), (27, 17), (33, 26), (22, 26), (13, 21),... | 8704 | MATH |
[
{
"content": "In a 39x36 grid, how many different paths are there from the bottom left (0, 0) to the top right (38, 35), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 16), (12, 3), (12, 25), (3, 13), (12, 22), (34, 1), (6, 9), (13,... | 634368 | MATH |
[
{
"content": "In a 31x38 grid, how many different paths are there from the bottom left (0, 0) to the top right (30, 37), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 13), (13, 27), (11, 2), (9, 7), (9, 36), (14, 34), (5, 30), (13,... | 918000 | MATH |
[
{
"content": "In a 31x35 grid, how many different paths are there from the bottom left (0, 0) to the top right (30, 34), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (12, 18), (25, 25), (5, 19), (20, 21), (15, 6), (6, 6), (24, 13), (1... | 758160 | MATH |
[
{
"content": "In a 39x39 grid, how many different paths are there from the bottom left (0, 0) to the top right (38, 38), 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, 34), (13, 33), (38, 5), (9, 15), (29, 13), (26, 10), (1... | 467808 | MATH |
[
{
"content": "In a 31x38 grid, how many different paths are there from the bottom left (0, 0) to the top right (30, 37), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 20), (23, 22), (12, 15), (21, 24), (29, 20), (22, 35), (22, 17),... | 535248 | MATH |
[
{
"content": "In a 39x31 grid, how many different paths are there from the bottom left (0, 0) to the top right (38, 30), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (24, 16), (33, 2), (25, 8), (31, 22), (10, 24), (11, 22), (22, 0), (... | 399360 | MATH |
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