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[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 43x43 grid, what is minimum number of steps you can take to get to (39, 42), if your only valid moves are to move over 4 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 45x47 grid, what is minimum number of steps you can take to get to (44, 43), if your only valid moves are to move over 5 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 47x47 grid, what is minimum number of steps you can take to get to (44, 46), 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 in LaTex format: \\boxed{Your answer}", "role": "user" } ]
16
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 41x44 grid, what is minimum number of steps you can take to get to (41, 40), if your only valid moves are to move over 5 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 48x47 grid, what is minimum number of steps you can take to get to (44, 47), if your only valid moves are to move over 6 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x43 grid, what is minimum number of steps you can take to get to (42, 39), if your only valid moves are to move over 6 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 48x49 grid, what is minimum number of steps you can take to get to (46, 46), 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 in LaTex format: \\boxed{Your answer}", "role": "user" } ]
16
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 43x45 grid, what is minimum number of steps you can take to get to (40, 42), if your only valid moves are to move over 3 squares in one direction and over 4 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 47x47 grid, what is minimum number of steps you can take to get to (45, 44), if your only valid moves are to move over 4 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 46x45 grid, what is minimum number of steps you can take to get to (44, 44), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
30
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 48x46 grid, what is minimum number of steps you can take to get to (44, 42), 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 in LaTex format: \\boxed{Your answer}", "role": "user" } ]
18
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 45x46 grid, what is minimum number of steps you can take to get to (44, 42), if your only valid moves are to move over 6 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 43x42 grid, what is minimum number of steps you can take to get to (40, 39), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
27
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 41x40 grid, what is minimum number of steps you can take to get to (39, 38), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
17
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 47x46 grid, what is minimum number of steps you can take to get to (44, 44), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
30
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 44x44 grid, what is minimum number of steps you can take to get to (43, 41), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
18
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 41x43 grid, what is minimum number of steps you can take to get to (41, 40), if your only valid moves are to move over 4 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 40x42 grid, what is minimum number of steps you can take to get to (40, 39), if your only valid moves are to move over 3 squares in one direction and over 4 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 43x41 grid, what is minimum number of steps you can take to get to (39, 41), if your only valid moves are to move over 4 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 45x46 grid, what is minimum number of steps you can take to get to (44, 43), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
29
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 46x46 grid, what is minimum number of steps you can take to get to (45, 44), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
31
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x42 grid, what is minimum number of steps you can take to get to (40, 38), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
26
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 43x42 grid, what is minimum number of steps you can take to get to (40, 42), if your only valid moves are to move over 3 squares in one direction and over 4 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 43x45 grid, what is minimum number of steps you can take to get to (43, 41), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
21
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x41 grid, what is minimum number of steps you can take to get to (40, 37), if your only valid moves are to move over 1 squares in one direction and over 6 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 45x48 grid, what is minimum number of steps you can take to get to (42, 44), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
30
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x42 grid, what is minimum number of steps you can take to get to (39, 39), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
26
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 40x42 grid, what is minimum number of steps you can take to get to (37, 39), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 44x44 grid, what is minimum number of steps you can take to get to (42, 40), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
18
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 46x46 grid, what is minimum number of steps you can take to get to (44, 43), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
19
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 46x46 grid, what is minimum number of steps you can take to get to (43, 44), if your only valid moves are to move over 1 squares in one direction and over 6 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 45x42 grid, what is minimum number of steps you can take to get to (41, 39), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
28
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 46x45 grid, what is minimum number of steps you can take to get to (42, 41), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
19
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x42 grid, what is minimum number of steps you can take to get to (39, 39), if your only valid moves are to move over 3 squares in one direction and over 4 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
12
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 41x41 grid, what is minimum number of steps you can take to get to (38, 38), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
16
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 48x49 grid, what is minimum number of steps you can take to get to (45, 45), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
18
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x44 grid, what is minimum number of steps you can take to get to (38, 41), if your only valid moves are to move over 6 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 43x45 grid, what is minimum number of steps you can take to get to (40, 42), 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 in LaTex format: \\boxed{Your answer}", "role": "user" } ]
18
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 47x46 grid, what is minimum number of steps you can take to get to (45, 43), if your only valid moves are to move over 4 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
16
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 43x40 grid, what is minimum number of steps you can take to get to (39, 40), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
17
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 46x46 grid, what is minimum number of steps you can take to get to (43, 45), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
20
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 44x46 grid, what is minimum number of steps you can take to get to (41, 42), if your only valid moves are to move over 6 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 41x40 grid, what is minimum number of steps you can take to get to (37, 40), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
17
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 48x45 grid, what is minimum number of steps you can take to get to (44, 45), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
31
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 48x48 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 1 squares in one direction and over 5 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
17
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 47x46 grid, what is minimum number of steps you can take to get to (43, 43), if your only valid moves are to move over 3 squares in one direction and over 4 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 43x40 grid, what is minimum number of steps you can take to get to (39, 39), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
18
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 45x46 grid, what is minimum number of steps you can take to get to (45, 43), if your only valid moves are to move over 4 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
16
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x41 grid, what is minimum number of steps you can take to get to (38, 40), if your only valid moves are to move over 6 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
12
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 49x49 grid, what is minimum number of steps you can take to get to (46, 45), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
31
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 49x47 grid, what is minimum number of steps you can take to get to (45, 45), 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 in LaTex format: \\boxed{Your answer}", "role": "user" } ]
18
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 47x49 grid, what is minimum number of steps you can take to get to (44, 46), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
20
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 45x48 grid, what is minimum number of steps you can take to get to (44, 44), if your only valid moves are to move over 3 squares in one direction and over 4 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
16
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 49x47 grid, what is minimum number of steps you can take to get to (45, 47), 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 in LaTex format: \\boxed{Your answer}", "role": "user" } ]
17
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 45x44 grid, what is minimum number of steps you can take to get to (42, 43), if your only valid moves are to move over 2 squares in one direction and over 5 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 41x41 grid, what is minimum number of steps you can take to get to (37, 37), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 48x49 grid, what is minimum number of steps you can take to get to (47, 46), if your only valid moves are to move over 3 squares in one direction and over 4 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 48x46 grid, what is minimum number of steps you can take to get to (45, 44), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
31
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 40x40 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 1 squares in one direction and over 6 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 45x45 grid, what is minimum number of steps you can take to get to (42, 42), 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 in LaTex format: \\boxed{Your answer}", "role": "user" } ]
18
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 41x41 grid, what is minimum number of steps you can take to get to (37, 38), if your only valid moves are to move over 6 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x43 grid, what is minimum number of steps you can take to get to (40, 41), if your only valid moves are to move over 6 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x42 grid, what is minimum number of steps you can take to get to (40, 39), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
27
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 45x45 grid, what is minimum number of steps you can take to get to (44, 42), if your only valid moves are to move over 3 squares in one direction and over 4 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 47x48 grid, what is minimum number of steps you can take to get to (47, 44), if your only valid moves are to move over 6 squares in one direction and over 1 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 48x48 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 1 squares in one direction and over 6 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 41x40 grid, what is minimum number of steps you can take to get to (37, 36), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
25
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 41x44 grid, what is minimum number of steps you can take to get to (40, 40), if your only valid moves are to move over 1 squares in one direction and over 6 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
12
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 46x48 grid, what is minimum number of steps you can take to get to (44, 45), 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 in LaTex format: \\boxed{Your answer}", "role": "user" } ]
19
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 44x47 grid, what is minimum number of steps you can take to get to (43, 43), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
30
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 45x46 grid, what is minimum number of steps you can take to get to (45, 44), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
31
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 48x48 grid, what is minimum number of steps you can take to get to (45, 46), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
19
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 40x42 grid, what is minimum number of steps you can take to get to (39, 39), if your only valid moves are to move over 2 squares in one direction and over 5 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 44x43 grid, what is minimum number of steps you can take to get to (40, 41), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
27
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 44x44 grid, what is minimum number of steps you can take to get to (41, 43), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
18
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 46x44 grid, what is minimum number of steps you can take to get to (43, 43), if your only valid moves are to move over 5 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 41x41 grid, what is minimum number of steps you can take to get to (38, 37), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
17
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 46x47 grid, what is minimum number of steps you can take to get to (43, 43), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
18
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x41 grid, what is minimum number of steps you can take to get to (38, 41), if your only valid moves are to move over 2 squares in one direction and over 5 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 47x48 grid, what is minimum number of steps you can take to get to (47, 46), 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 in LaTex format: \\boxed{Your answer}", "role": "user" } ]
21
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 47x46 grid, what is minimum number of steps you can take to get to (43, 45), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x42 grid, what is minimum number of steps you can take to get to (40, 40), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
16
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 46x46 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 5 squares in one direction and over 2 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 41x40 grid, what is minimum number of steps you can take to get to (37, 37), 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 in LaTex format: \\boxed{Your answer}", "role": "user" } ]
16
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 49x48 grid, what is minimum number of steps you can take to get to (45, 48), if your only valid moves are to move over 1 squares in one direction and over 6 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 44x45 grid, what is minimum number of steps you can take to get to (44, 42), if your only valid moves are to move over 2 squares in one direction and over 5 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 45x44 grid, what is minimum number of steps you can take to get to (41, 43), if your only valid moves are to move over 2 squares in one direction and over 5 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 43x43 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 the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
18
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 43x44 grid, what is minimum number of steps you can take to get to (40, 41), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
17
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 47x48 grid, what is minimum number of steps you can take to get to (44, 45), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
19
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 47x45 grid, what is minimum number of steps you can take to get to (44, 41), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
29
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 49x47 grid, what is minimum number of steps you can take to get to (46, 43), 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 in LaTex format: \\boxed{Your answer}", "role": "user" } ]
19
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x45 grid, what is minimum number of steps you can take to get to (39, 41), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x40 grid, what is minimum number of steps you can take to get to (39, 39), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 47x45 grid, what is minimum number of steps you can take to get to (44, 41), 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?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
29
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 48x49 grid, what is minimum number of steps you can take to get to (44, 45), if your only valid moves are to move over 4 squares in one direction and over 3 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 46x48 grid, what is minimum number of steps you can take to get to (42, 45), if your only valid moves are to move over 3 squares in one direction and over 4 squares in a perpendicular direction (at once)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x43 grid, what is minimum number of steps you can take to get to (41, 40), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
17
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 42x40 grid, what is minimum number of steps you can take to get to (38, 36), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
20
MATH
[ { "content": "Supposing you start in the bottom left (0, 0) cell of a 44x44 grid, what is minimum number of steps you can take to get to (41, 40), 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 answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
17
MATH
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