question
listlengths
1
1
answer
dict
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(3, 8)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(2, 2)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 4)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(5, 8)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(6, 8)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(4, 8)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 1)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 5)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(6, 4)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(2, 1)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(7, 8)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(2, 8)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(2, 2)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 3)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 7)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(7, 3)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(2, 1)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(7, 7)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 3)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 5)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(9, 6)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(9, 2)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(9, 6)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 1)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(7, 6)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(2, 9)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(5, 7)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(9, 9)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(1, 4)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(5, 6)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(7, 6)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(2, 7)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(6, 4)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(3, 2)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 6)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 1)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(2, 6)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(1, 7)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 4)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(7, 1)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(1, 2)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 2)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(1, 5)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(6, 8)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(1, 10)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(3, 4)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(5, 9)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(5, 8)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(3, 8)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(4, 3)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(10, 6)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(6, 4)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(6, 10)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(10, 6)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 7)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(7, 4)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(7, 3)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(6, 5)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(7, 3)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(4, 6)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(6, 3)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(11, 7)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(2, 7)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(9, 7)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(2, 4)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(3, 10)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(2, 8)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(9, 10)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(6, 7)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(4, 8)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(11, 9)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(5, 10)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(1, 2)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(10, 3)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(7, 2)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(6, 7)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 1)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(1, 7)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(9, 9)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(11, 6)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 2)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(9, 3)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(12, 2)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(1, 1)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(2, 9)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(6, 12)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(7, 4)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(11, 4)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(4, 1)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(5, 12)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 11)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(6, 4)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(7, 8)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(9, 2)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(4, 6)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(10, 3)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(10, 11)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(8, 1)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(6, 5)}" ], "type": "contains_any" }
[ { "content": "You are an expert at packing suitcases.\nYou must place an item in an empty slot in the suitcase.\nYou must always answer in the format \\boxed{(x, y)} using coordinates from the second half.\n\nThis is an example suitcase:\n▨▢▨ ▢▨▢\n▢▨▢ ▨▢▢\n▨▨▢ ▨▢▢\nThis suitcase is a 2x3 suitcase that has not b...
{ "contains_any": [ "\\boxed{(5, 11)}" ], "type": "contains_any" }