id stringlengths 19 40 | setting_key stringclasses 16
values | messages listlengths 1 1 | ground_truth stringlengths 1 8 | dataset stringclasses 2
values | setting_name stringclasses 7
values | prompt stringlengths 177 3.21k |
|---|---|---|---|---|---|---|
logic_gridworld_blocked_test_out_063 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 9x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 7), 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), (1, 0), (4, 6)?\n\nPresent the answer in LaT... | 937 | MATH_EXPLORATIVE | null | In a 9x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 7), 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), (1, 0), (4, 6)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_064 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 8x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 6), 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), (5, 5), (3, 2), (3, 5), (3, 4), (5, 1), (7, ... | 8 | MATH_EXPLORATIVE | null | In a 8x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 6), 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), (5, 5), (3, 2), (3, 5), (3, 4), (5, 1), (7, 1), (4, 3), (4, 2), (1, 5), (5, 4), (0, 3)... |
logic_gridworld_blocked_test_out_065 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 9x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (0, 2), (4, 3), (5, 7), (6, 2), (5, 3)?\n\nP... | 709 | MATH_EXPLORATIVE | null | In a 9x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (0, 2), (4, 3), (5, 7), (6, 2), (5, 3)?
Present the answer in LaTex format: \boxed{Yo... |
logic_gridworld_blocked_test_out_066 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 8x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 1), (1, 0)?\n\nPresent the answer in LaTex forma... | 1506 | MATH_EXPLORATIVE | null | In a 8x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 1), (1, 0)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_067 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), 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), (3, 2), (3, 4)?\n\nPresent the answer in LaT... | 516 | MATH_EXPLORATIVE | null | In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), 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), (3, 2), (3, 4)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_068 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 10x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 3), (9, 5), (1, 8), (9, 1), (7, 8), (6, 5), (6... | 1799 | MATH_EXPLORATIVE | null | In a 10x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 3), (9, 5), (1, 8), (9, 1), (7, 8), (6, 5), (6, 0), (3, 9), (4, 7), (2, 0), (5, 2), (3, ... |
logic_gridworld_blocked_test_out_069 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 8x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 6), 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, 3), (3, 5), (6, 6), (3, 0), (5, 6), (2, ... | 134 | MATH_EXPLORATIVE | null | In a 8x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 6), 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, 3), (3, 5), (6, 6), (3, 0), (5, 6), (2, 3), (7, 2), (7, 1), (7, 0)?
Present the a... |
logic_gridworld_blocked_test_out_070 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 7x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 8), (2, 4), (6, 2), (0, 6), (3, 9), (5, 9), (1,... | 1262 | MATH_EXPLORATIVE | null | In a 7x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 8), (2, 4), (6, 2), (0, 6), (3, 9), (5, 9), (1, 4), (0, 7), (6, 5)?
Present the answer i... |
logic_gridworld_blocked_test_out_071 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), 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), (4, 3), (5, 7)?\n\nPresent the answer in LaT... | 490 | MATH_EXPLORATIVE | null | In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), 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), (4, 3), (5, 7)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_072 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 1), (8, 0), (4, 6), (7, 8), (8, 4), (6, 2), (2, ... | 3323 | MATH_EXPLORATIVE | null | In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 1), (8, 0), (4, 6), (7, 8), (8, 4), (6, 2), (2, 0)?
Present the answer in LaTex format: \... |
logic_gridworld_blocked_test_out_073 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 2), (7, 8), (7, 6), (5, 8), (5, 4), (2, 0), (6,... | 838 | MATH_EXPLORATIVE | null | In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 2), (7, 8), (7, 6), (5, 8), (5, 4), (2, 0), (6, 5), (5, 2), (4, 1), (4, 6), (0, 3), (5, 1... |
logic_gridworld_blocked_test_out_074 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 1), (2, 4), (1, 7), (1, 5), (2, 5), (6, 6)?\n\nP... | 208 | MATH_EXPLORATIVE | null | In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 1), (2, 4), (1, 7), (1, 5), (2, 5), (6, 6)?
Present the answer in LaTex format: \boxed{Yo... |
logic_gridworld_blocked_test_out_075 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 9x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (2, 5), (1, 0), (8, 6), (3, 1), (3, 7), (4, ... | 34 | MATH_EXPLORATIVE | null | In a 9x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (2, 5), (1, 0), (8, 6), (3, 1), (3, 7), (4, 3), (3, 4), (7, 3)?
Present the answer in... |
logic_gridworld_blocked_test_out_076 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 7x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (5, 5)?\n\nPresent the answer in LaTex forma... | 252 | MATH_EXPLORATIVE | null | In a 7x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (5, 5)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_077 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), 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), (3, 2), (5, 6), (0, 2), (2, 3), (6, 8), (3, ... | 366 | MATH_EXPLORATIVE | null | In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), 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), (3, 2), (5, 6), (0, 2), (2, 3), (6, 8), (3, 6), (8, 0), (2, 0), (1, 6), (4, 3), (5, 8)... |
logic_gridworld_blocked_test_out_078 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), 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), (7, 3), (7, 4), (7, 5)?\n\nPresent the answe... | 9207 | MATH_EXPLORATIVE | null | In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), 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), (7, 3), (7, 4), (7, 5)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_079 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 9x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 5), (8, 4), (7, 3), (7, 8), (1, 0), (3, 8), (7,... | 1268 | MATH_EXPLORATIVE | null | In a 9x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 5), (8, 4), (7, 3), (7, 8), (1, 0), (3, 8), (7, 9), (2, 9), (4, 2), (1, 7), (5, 0)?
Pres... |
logic_gridworld_blocked_test_out_080 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 7x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 5), (3, 8), (2, 4), (0, 9)?\n\nPresent the answ... | 1794 | MATH_EXPLORATIVE | null | In a 7x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 5), (3, 8), (2, 4), (0, 9)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_081 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 4), (2, 7), (6, 5), (2, 2), (1, 2), (0, 6)?\n\nP... | 282 | MATH_EXPLORATIVE | null | In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 4), (2, 7), (6, 5), (2, 2), (1, 2), (0, 6)?
Present the answer in LaTex format: \boxed{Yo... |
logic_gridworld_blocked_test_out_082 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 10x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 7), 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), (6, 0)?\n\nPresent the answer in LaTex form... | 11110 | MATH_EXPLORATIVE | null | In a 10x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 7), 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), (6, 0)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_083 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 8x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 7), 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), (6, 2), (5, 1), (7, 4), (2, 4), (4, 0), (0, ... | 455 | MATH_EXPLORATIVE | null | In a 8x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 7), 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), (6, 2), (5, 1), (7, 4), (2, 4), (4, 0), (0, 1), (2, 5)?
Present the answer in LaTex f... |
logic_gridworld_blocked_test_out_084 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 9x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 1), (8, 5), (0, 2), (8, 2), (2, 2), (6, 0), (4, ... | 170 | MATH_EXPLORATIVE | null | In a 9x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 1), (8, 5), (0, 2), (8, 2), (2, 2), (6, 0), (4, 3), (2, 6), (2, 4), (5, 1)?
Present the a... |
logic_gridworld_blocked_test_out_085 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 9x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 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, 2), (5, 0), (8, 3), (3, 5), (6, 7)?\n\nPresent ... | 5867 | MATH_EXPLORATIVE | null | In a 9x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 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, 2), (5, 0), (8, 3), (3, 5), (6, 7)?
Present the answer in LaTex format: \boxed{Your answ... |
logic_gridworld_blocked_test_out_086 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 0), (6, 3), (3, 4), (2, 5), (0, 1), (5, 3), (0, ... | 106 | MATH_EXPLORATIVE | null | In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 0), (6, 3), (3, 4), (2, 5), (0, 1), (5, 3), (0, 5)?
Present the answer in LaTex format: \... |
logic_gridworld_blocked_test_out_087 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 5), (5, 0), (4, 8), (6, 6), (2, 1), (0, 4), (3, ... | 940 | MATH_EXPLORATIVE | null | In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 5), (5, 0), (4, 8), (6, 6), (2, 1), (0, 4), (3, 0)?
Present the answer in LaTex format: \... |
logic_gridworld_blocked_test_out_088 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 7x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 1), (4, 4)?\n\nPresent the answer in LaTex forma... | 1413 | MATH_EXPLORATIVE | null | In a 7x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 1), (4, 4)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_089 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 10x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 7), 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), (8, 1), (4, 4), (7, 3), (2, 7), (1, 4), (8,... | 236 | MATH_EXPLORATIVE | null | In a 10x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 7), 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), (8, 1), (4, 4), (7, 3), (2, 7), (1, 4), (8, 5), (8, 4), (5, 4), (8, 2), (7, 7), (3, 2... |
logic_gridworld_blocked_test_out_090 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), 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), (0, 5), (0, 1), (1, 0), (6, 6)?\n\nPresent t... | 0 | MATH_EXPLORATIVE | null | In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), 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), (0, 5), (0, 1), (1, 0), (6, 6)?
Present the answer in LaTex format: \boxed{Your answe... |
logic_gridworld_blocked_test_out_091 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 0), (9, 3), (4, 4), (6, 2), (5, 1), (0, 4), (5,... | 200 | MATH_EXPLORATIVE | null | In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 0), (9, 3), (4, 4), (6, 2), (5, 1), (0, 4), (5, 6), (7, 4), (8, 8), (8, 5), (2, 7), (6, 5... |
logic_gridworld_blocked_test_out_092 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), 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), (6, 3)?\n\nPresent the answer in LaTex forma... | 11025 | MATH_EXPLORATIVE | null | In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), 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), (6, 3)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_093 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 9x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 6), (1, 2), (1, 6)?\n\nPresent the answer in LaT... | 1974 | MATH_EXPLORATIVE | null | In a 9x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 6), (1, 2), (1, 6)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_094 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), 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), (6, 8), (5, 4), (6, 6), (2, 2), (3, 8), (7, ... | 302 | MATH_EXPLORATIVE | null | In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), 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), (6, 8), (5, 4), (6, 6), (2, 2), (3, 8), (7, 6), (7, 2)?
Present the answer in LaTex f... |
logic_gridworld_blocked_test_out_095 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), 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), (1, 2), (4, 5)?\n\nPresent the answer in LaT... | 444 | MATH_EXPLORATIVE | null | In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), 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), (1, 2), (4, 5)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_096 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), 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), (5, 5)?\n\nPresent the answer in LaTex forma... | 700 | MATH_EXPLORATIVE | null | In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), 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), (5, 5)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_097 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), 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), (6, 6), (5, 2)?\n\nPresent the answer in LaT... | 4446 | MATH_EXPLORATIVE | null | In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), 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), (6, 6), (5, 2)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_098 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 8), (7, 1), (2, 4)?\n\nPresent the answer in LaT... | 2584 | MATH_EXPLORATIVE | null | In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 8), (7, 1), (2, 4)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_blocked_test_out_099 | logic_gridworld_blocked | [
{
"role": "user",
"content": "In a 7x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 7), (6, 7), (0, 1), (3, 3), (6, 4)?\n\nPresent t... | 280 | MATH_EXPLORATIVE | null | In a 7x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 7), (6, 7), (0, 1), (3, 3), (6, 4)?
Present the answer in LaTex format: \boxed{Your answe... |
logic_gridworld_knight_move_test_out_000 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x12 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 1 squares in one direction and over 4 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 8 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x12 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 1 squares in one direction and over 4 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_001 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (7, 7), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (7, 7), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_002 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 12x12 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 1 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 12x12 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 1 squares in one direction and over 3 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_003 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 9x9 grid, what is minimum number of steps you can take to get to (8, 6), if your only valid moves are to move over 5 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answer... | 4 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 9x9 grid, what is minimum number of steps you can take to get to (8, 6), if your only valid moves are to move over 5 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_004 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x11 grid, what is minimum number of steps you can take to get to (10, 8), if your only valid moves are to move over 3 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the ans... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x11 grid, what is minimum number of steps you can take to get to (10, 8), if your only valid moves are to move over 3 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_005 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 9x9 grid, what is minimum number of steps you can take to get to (6, 7), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answer... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 9x9 grid, what is minimum number of steps you can take to get to (6, 7), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_006 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 9x9 grid, what is minimum number of steps you can take to get to (6, 8), if your only valid moves are to move over 1 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answer... | 4 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 9x9 grid, what is minimum number of steps you can take to get to (6, 8), if your only valid moves are to move over 1 squares in one direction and over 3 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_007 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x11 grid, what is minimum number of steps you can take to get to the top right, if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in... | 8 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x11 grid, what is minimum number of steps you can take to get to the top right, if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex fo... |
logic_gridworld_knight_move_test_out_008 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 12x12 grid, what is minimum number of steps you can take to get to (9, 10), if your only valid moves are to move over 1 squares in one direction and over 4 squares in a perpendicular direction (at once)?\n\nPresent the ans... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 12x12 grid, what is minimum number of steps you can take to get to (9, 10), if your only valid moves are to move over 1 squares in one direction and over 4 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_009 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 9x10 grid, what is minimum number of steps you can take to get to (6, 8), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 4 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 9x10 grid, what is minimum number of steps you can take to get to (6, 8), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_010 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (7, 7), if your only valid moves are to move over 3 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (7, 7), if your only valid moves are to move over 3 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_011 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x11 grid, what is minimum number of steps you can take to get to (10, 8), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one m... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x11 grid, what is minimum number of steps you can take to get to (10, 8), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: ... |
logic_gridworld_knight_move_test_out_012 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_013 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 12x12 grid, what is minimum number of steps you can take to get to (11, 10), if your only valid moves are to move over 1 squares in one direction and over 4 squares in a perpendicular direction (at once)?\n\nPresent the an... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 12x12 grid, what is minimum number of steps you can take to get to (11, 10), if your only valid moves are to move over 1 squares in one direction and over 4 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_014 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x9 grid, what is minimum number of steps you can take to get to (8, 7), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one mov... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x9 grid, what is minimum number of steps you can take to get to (8, 7), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: \b... |
logic_gridworld_knight_move_test_out_015 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x12 grid, what is minimum number of steps you can take to get to (10, 10), if your only valid moves are to move over 1 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the an... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x12 grid, what is minimum number of steps you can take to get to (10, 10), if your only valid moves are to move over 1 squares in one direction and over 3 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_016 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (9, 7), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one mo... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (9, 7), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: \... |
logic_gridworld_knight_move_test_out_017 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (7, 7), if your only valid moves are to move over 1 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (7, 7), if your only valid moves are to move over 1 squares in one direction and over 3 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_018 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x9 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 1 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 4 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x9 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 1 squares in one direction and over 3 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_019 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x10 grid, what is minimum number of steps you can take to get to (8, 7), if your only valid moves are to move over 2 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 3 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x10 grid, what is minimum number of steps you can take to get to (8, 7), if your only valid moves are to move over 2 squares in one direction and over 3 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_020 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x11 grid, what is minimum number of steps you can take to get to (7, 9), if your only valid moves are to move over 5 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 3 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x11 grid, what is minimum number of steps you can take to get to (7, 9), if your only valid moves are to move over 5 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_021 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x11 grid, what is minimum number of steps you can take to get to (8, 9), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one mo... | 7 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x11 grid, what is minimum number of steps you can take to get to (8, 9), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: \... |
logic_gridworld_knight_move_test_out_022 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x10 grid, what is minimum number of steps you can take to get to (8, 9), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one mo... | 7 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x10 grid, what is minimum number of steps you can take to get to (8, 9), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: \... |
logic_gridworld_knight_move_test_out_023 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (9, 8), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (9, 8), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_024 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 9x11 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 1 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 4 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 9x11 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 1 squares in one direction and over 3 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_025 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x9 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x9 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_026 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x11 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 1 squares in one direction and over 5 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x11 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 1 squares in one direction and over 5 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_027 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to the top right, if your only valid moves are to move over 3 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent t... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to the top right, if your only valid moves are to move over 3 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answe... |
logic_gridworld_knight_move_test_out_028 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (8, 6), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one mov... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (8, 6), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: \b... |
logic_gridworld_knight_move_test_out_029 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one mo... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: \... |
logic_gridworld_knight_move_test_out_030 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 12x11 grid, what is minimum number of steps you can take to get to (9, 8), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 12x11 grid, what is minimum number of steps you can take to get to (9, 8), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_031 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 12x11 grid, what is minimum number of steps you can take to get to (9, 8), if your only valid moves are to move over 2 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 12x11 grid, what is minimum number of steps you can take to get to (9, 8), if your only valid moves are to move over 2 squares in one direction and over 3 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_032 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 9x11 grid, what is minimum number of steps you can take to get to (7, 8), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one mov... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 9x11 grid, what is minimum number of steps you can take to get to (7, 8), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: \b... |
logic_gridworld_knight_move_test_out_033 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 12x11 grid, what is minimum number of steps you can take to get to (10, 10), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one ... | 8 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 12x11 grid, what is minimum number of steps you can take to get to (10, 10), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format:... |
logic_gridworld_knight_move_test_out_034 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x12 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 1 squares in one direction and over 4 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 8 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x12 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 1 squares in one direction and over 4 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_035 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x11 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 5 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x11 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 5 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_036 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 9x10 grid, what is minimum number of steps you can take to get to (7, 7), if your only valid moves are to move over 5 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 9x10 grid, what is minimum number of steps you can take to get to (7, 7), if your only valid moves are to move over 5 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_037 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x12 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 8 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x12 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_038 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 12x12 grid, what is minimum number of steps you can take to get to the top right, if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent t... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 12x12 grid, what is minimum number of steps you can take to get to the top right, if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answe... |
logic_gridworld_knight_move_test_out_039 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x11 grid, what is minimum number of steps you can take to get to (9, 8), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one mo... | 7 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x11 grid, what is minimum number of steps you can take to get to (9, 8), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: \... |
logic_gridworld_knight_move_test_out_040 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x10 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 1 squares in one direction and over 5 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x10 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 1 squares in one direction and over 5 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_041 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (7, 9), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one mo... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (7, 9), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: \... |
logic_gridworld_knight_move_test_out_042 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 12x11 grid, what is minimum number of steps you can take to get to (10, 10), if your only valid moves are to move over 3 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the an... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 12x11 grid, what is minimum number of steps you can take to get to (10, 10), if your only valid moves are to move over 3 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_043 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (7, 7), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one mo... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (7, 7), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: \... |
logic_gridworld_knight_move_test_out_044 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 12x12 grid, what is minimum number of steps you can take to get to (10, 11), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the an... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 12x12 grid, what is minimum number of steps you can take to get to (10, 11), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_045 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (7, 6), if your only valid moves are to move over 2 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (7, 6), if your only valid moves are to move over 2 squares in one direction and over 3 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_046 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x11 grid, what is minimum number of steps you can take to get to the top right, if your only valid moves are to move over 2 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent t... | 4 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x11 grid, what is minimum number of steps you can take to get to the top right, if your only valid moves are to move over 2 squares in one direction and over 3 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answe... |
logic_gridworld_knight_move_test_out_047 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 9x9 grid, what is minimum number of steps you can take to get to (6, 7), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 9x9 grid, what is minimum number of steps you can take to get to (6, 7), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: \bo... |
logic_gridworld_knight_move_test_out_048 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 4 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_049 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (9, 7), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one mo... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (9, 7), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: \... |
logic_gridworld_knight_move_test_out_050 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (8, 7), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 3 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (8, 7), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_051 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 9x11 grid, what is minimum number of steps you can take to get to (6, 8), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 4 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 9x11 grid, what is minimum number of steps you can take to get to (6, 8), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_052 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x12 grid, what is minimum number of steps you can take to get to (8, 9), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 5 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x12 grid, what is minimum number of steps you can take to get to (8, 9), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_053 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 12x11 grid, what is minimum number of steps you can take to get to (10, 10), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the an... | 4 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 12x11 grid, what is minimum number of steps you can take to get to (10, 10), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_054 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 12x10 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one mo... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 12x10 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: \... |
logic_gridworld_knight_move_test_out_055 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 12x12 grid, what is minimum number of steps you can take to get to the top right, if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent t... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 12x12 grid, what is minimum number of steps you can take to get to the top right, if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answe... |
logic_gridworld_knight_move_test_out_056 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 9x11 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 2 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 9x11 grid, what is minimum number of steps you can take to get to (8, 8), if your only valid moves are to move over 2 squares in one direction and over 3 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_057 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (7, 7), if your only valid moves are to move over 2 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (7, 7), if your only valid moves are to move over 2 squares in one direction and over 3 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_058 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (9, 7), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 4 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x10 grid, what is minimum number of steps you can take to get to (9, 7), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_059 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 11x11 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answ... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 11x11 grid, what is minimum number of steps you can take to get to (9, 9), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_060 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 12x11 grid, what is minimum number of steps you can take to get to (10, 8), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one m... | 6 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 12x11 grid, what is minimum number of steps you can take to get to (10, 8), if your only valid moves are like a chess knight, i.e, over two squares in one direction and over one square in a perpendicular direction in one move?
Present the answer in LaTex format: ... |
logic_gridworld_knight_move_test_out_061 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 9x10 grid, what is minimum number of steps you can take to get to (7, 8), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 3 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 9x10 grid, what is minimum number of steps you can take to get to (7, 8), if your only valid moves are to move over 3 squares in one direction and over 2 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
logic_gridworld_knight_move_test_out_062 | logic_gridworld_knight_move | [
{
"role": "user",
"content": "Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (8, 6), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answe... | 4 | MATH_EXPLORATIVE | null | Supposing you start in the bottom left (0, 0) cell of a 10x9 grid, what is minimum number of steps you can take to get to (8, 6), if your only valid moves are to move over 4 squares in one direction and over 1 squares in a perpendicular direction (at once)?
Present the answer in LaTex format: \boxed{Your answer} |
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