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"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nPurple Pink\nPink Yellow\nOutput:\nPurple Pink Purple Pink Purple Pink\nPink Yellow Pink Yellow Pink Yellow\nPink Purple Pink Purple Pink Purple\nYellow Pink Yellow Pink Yellow Pink\nPurple Pink Purple Pink Purple Pink\nPink Yellow Pink Yellow Pink Yellow\n```\n\n[Example 2]\n```\nInput:\nOrange Brown\nYellow Green\nOutput:\nOrange Brown Orange Brown Orange Brown\nYellow Green Yellow Green Yellow Green\nBrown Orange Brown Orange Brown Orange\nGreen Yellow Green Yellow Green Yellow\nOrange Brown Orange Brown Orange Brown\nYellow Green Yellow Green Yellow Green\n```\n\n***Test example:***\nInput:\nGreen Red\nOrange Purple\n```output",
"role": "user"
},
{
"content": "Output:\nGreen Red Green Red Green Red\nOrange Purple Orange Purple Orange Purple\nRed Green Red Green Red Green\nPurple Orange Purple Orange Purple Orange\nGreen Red Green Red Green Red\nOrange Purple Orange Purple Orange Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Purple Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Purple Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Black Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Red Red Red Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Purple Black Purple Purple Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Purple Black Black Black\nBlack Black Black Black Purple Purple Black Purple Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Green Black Green Green Black Black Black\nBlack Black Black Black Green Black Green Black Green Black Green Black Black Black\nBlack Black Black Black Green Green Black Green Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Purple Black Black Black Purple Black Black Black Black Black Black\nBlack Purple Black Purple Black Purple Black Purple Black Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Black Purple Black Purple Black Purple Black Purple Black Black Black Black\nBlack Purple Black Black Black Purple Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Red Black Black Black Red Black Black Black Black Black Black\nBlack Red Black Red Black Red Black Red Black Red Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Red Black Red Black Red Black Red Black Red Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Purple Purple Purple Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Purple Black Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Purple Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Orange Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Orange Orange Orange Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Orange Black Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Orange Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 5]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Green Green Black Black Black\nBlack Black Black Black Black Black Green Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Purple Black Black Black Purple Black Purple Black Purple\nBlack Black Black Black Black Purple Black Purple Black Purple Black Black Black Purple\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Orange Black Black Black Orange Black Orange Black Orange\nBlack Black Black Black Black Orange Black Orange Black Orange Black Black Black Orange\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Green Pink Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Green Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Green Black Black Black\nBlack Green Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Green Black Black Black Green Black Black\nBlack Green Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Green Pink Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Green Purple Green Green Purple Green Black Green Black Black Black Green\nBlack Black Purple Purple Green Green Green Purple Black Black Green Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Green Green Green Green Purple Black Black Black Black Black Black\nGreen Green Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Green Pink Pink Pink Black Green Pink Pink Pink Green Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Green Black\nBlack Black Purple Green Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Green Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Green Black Black Black Green Green Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Blue Blue Blue Red Green Green Black Green Black Black\nBlack Blue Blue Green Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Green Black Green Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Blue Green Green Black Black Black Green\nBlack Blue Green Green Green Blue Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Blue Green Green Green Black Green Blue Red Green Green Black Blue Blue Red Green Green Black Black Green Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Green Red Blue Green Black Blue Blue Red Green Green Black Black Black Black\nBlue Blue Blue Red Green Green Black Blue Blue Red Green Green Green Blue Green Red Green Green Black Black Black Black\nBlack Purple Blue Purple Purple Green Black Purple Purple Purple Purple Purple Black Blue Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Green Black\nBlack Blue Blue Green Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Blue Green Green Black Blue Blue Red Green Blue Black Black Black Black\nBlue Blue Blue Red Green Green Black Blue Blue Red Green Blue Black Blue Blue Red Green Green Black Black Black Black\nGreen Purple Purple Purple Green Green Blue Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Green Black Green Black Blue Blue Black Green Black Black Black Black Black Black Black Black Black Blue\nBlack Black Green Black Black Blue Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Red Red Red Red Red Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Green\nBlack Green Red Red Green Black Black Green Red Red Green Black Green Green Red Red Green Black Black Green Black Black\nBlack Red Green Green Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black Black\nBlack Red Green Blue Green Black Black Red Red Blue Red Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Red Red Red Red Green Black Red Red Red Red Black Black Red Red Red Red Red Black Black Black Black\nBlack Green Red Red Green Black Black Green Red Red Green Black Green Green Red Red Green Red Black Black Black Black\nBlack Green Green Green Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black Black\nBlack Green Green Blue Green Black Black Green Blue Blue Green Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Green Red Green Red Black Black Red Green Red Red Black Black Black Black Black\nBlack Green Red Red Green Black Black Green Red Green Green Black Black Green Red Green Green Black Black Black Black Black\nGreen Green Green Green Green Black Black Green Green Green Green Black Black Green Red Green Green Black Black Red Black Black\nBlack Green Blue Blue Green Black Green Green Blue Blue Green Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Red Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Red Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Green Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black\nBlack Green Red Red Green Black Black Green Red Red Green Black Black Green Red Red Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black Black\nBlack Green Blue Blue Green Black Black Green Blue Blue Green Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black\nBlack Green Red Red Green Black Black Green Red Red Green Black Black Green Red Red Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black Black\nBlack Green Blue Blue Green Black Black Green Blue Blue Green Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black\nBlack Green Red Red Green Black Black Green Red Red Green Black Black Green Red Red Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black Black\nBlack Green Blue Blue Green Black Black Green Blue Blue Green Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Red Red Purple Green Red Black Red Red Purple Red Red Black Green Red Purple Red Red Black Black Black Green\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Green Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nGreen Purple Purple Green Green Purple Black Purple Purple Purple Purple Purple Black Purple Purple Green Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Green Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Green Green Black Black Black Black\nBlack Red Green Purple Red Red Black Red Red Green Red Green Black Red Red Purple Red Red Black Black Black Green\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Green Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Green Black Purple Purple Purple Green Purple Black Black Black Black\nBlack Purple Purple Purple Green Purple Black Purple Green Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Green Green Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green\nBlack Red Red Purple Red Red Black Red Red Purple Red Red Black Red Red Purple Red Red Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Green Black\nBlack Green Green Green Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Green Purple Purple Purple Purple Black Purple Purple Green Green Purple Black Purple Purple Green Purple Purple Black Green Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Green Purple Purple Black Green Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Green Black Black Black Black Black Green Black Green Black Black Green Black Black Black Black Green Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Purple Red Red Black Red Red Purple Red Red Black Red Red Purple Red Red Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Purple Red Red Black Red Red Purple Red Red Black Red Red Purple Red Red Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Purple Red Red Black Red Red Purple Red Red Black Red Red Purple Red Red Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nRed Red Red Red Red Black Black\nRed Black Black Black Red Black Black\nRed Black Red Black Red Black Black\nRed Black Black Black Red Black Black\nRed Red Red Red Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOutput:\nRed Red Red Red Red Black Black\nRed Purple Purple Purple Red Black Black\nRed Purple Red Purple Red Black Black\nRed Purple Purple Purple Red Black Black\nRed Red Red Red Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nRed Red Red Red Red Red Red Black Black\nRed Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Red Black Black\nRed Black Black Red Black Black Red Black Black\nRed Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Red Black Black\nRed Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOutput:\nRed Red Red Red Red Red Red Black Black\nRed Yellow Yellow Yellow Yellow Yellow Red Black Black\nRed Yellow Yellow Yellow Yellow Yellow Red Black Black\nRed Yellow Yellow Red Yellow Yellow Red Black Black\nRed Yellow Yellow Yellow Yellow Yellow Red Black Black\nRed Yellow Yellow Yellow Yellow Yellow Red Black Black\nRed Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Red Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Red\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Red\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Red\nBlack Black Black Black Black Black Red Green Green Green Red Green Green Green Red\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Red\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Red\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Purple Purple Purple Red Black Black Black Black Black Black Black Black Black\nBlack Red Purple Red Purple Red Black Black Black Black Black Black Black Black Black\nBlack Red Purple Purple Purple Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black Black Black Black\nBlack Red Black Red Black Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Black Black Red Black Black Red Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black\nOutput:\nBlack Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Red Purple Purple Purple Red Black Black Black Black Black Black Black\nBlack Red Purple Red Purple Red Black Black Black Black Black Black Black\nBlack Red Purple Purple Purple Red Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black\nBlack Black Black Black Black Red Yellow Yellow Red Yellow Yellow Red Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Black Red Black Black Black Red Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Red Black Red Black Red Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Red Black Black Black Red Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Red Red Red Red Red Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Black Black Red Red Red Red Red Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Black Black Red Black Black Black Red Black Black\nBlack Red Red Red Red Red Red Red Red Red Black Black Black Red Black Red Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Red Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Black Red Purple Purple Purple Red Black Black Black Black\nBlack Red Green Green Green Green Green Green Green Red Black Red Purple Red Purple Red Black Black Black Black\nBlack Red Green Green Green Green Green Green Green Red Black Red Purple Purple Purple Red Black Black Black Black\nBlack Red Green Green Green Green Green Green Green Red Black Red Red Red Red Red Black Black Black Black\nBlack Red Green Green Green Red Green Green Green Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Green Green Green Green Green Green Green Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Green Green Green Green Green Green Green Red Black Black Black Red Red Red Red Red Black Black\nBlack Red Green Green Green Green Green Green Green Red Black Black Black Red Purple Purple Purple Red Black Black\nBlack Red Red Red Red Red Red Red Red Red Black Black Black Red Purple Red Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Purple Purple Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Yellow Red Yellow Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlue Blue Black Black Black Black Black Black Black Yellow\nBlue Blue Black Red Red Black Green Green Black Yellow\nBlue Blue Black Red Red Black Green Green Black Yellow\nOutput:\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Red Red Black Black Black Black Black Black Black\nBlack Red Green Green Black Black Black Black Black Black\nBlack Black Green Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Black Orange Orange Black Red Red Red\nPurple Purple Purple Black Orange Orange Black Red Red Red\nOutput:\nPurple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Orange Orange Black Black Black Black Black Black\nBlack Black Orange Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Green Green Green\nYellow Yellow Yellow Yellow Black Red Black Green Green Green\nYellow Yellow Yellow Yellow Black Red Black Green Green Green\nOutput:\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Purple Purple Black Pink Black Black Black Black\nOrange Black Purple Purple Black Pink Black Green Green Black\nOrange Black Purple Purple Black Pink Black Green Green Black\n```output",
"role": "user"
},
{
"content": "Output:\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\nPurple Pink Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nRed Black Black Red Red Black Black Red Black Red Black Black Red Red Black Black Black Red Black Red Black Black Red Red Red Black Black Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Red Black Black Black Purple Purple Purple Black Black Red Purple Purple Purple Black Black Black Black\nRed Black Black Purple Purple Black Black Red Black Purple Purple Black Red Red Black Black Black Purple Purple Purple Black Black Red Purple Purple Purple Black Red Black Black\nRed Red Red Purple Purple Red Red Red Red Purple Purple Red Red Red Red Red Red Purple Purple Purple Red Red Red Purple Purple Purple Red Red Red Red\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Red Red Purple Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Red Purple Black Black Black Black Black Black Red Purple Red Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red\nBlack Black Green Green Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Green Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red\nBlack Black Green Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red\nBlack Black Black Black Green Green Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red\nBlack Black Black Black Black Green Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Red Red Red Red Red Red Black Red Black Red Red Red Black Red Black Red Red Black Red Black Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Red Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Red Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Red Red Black Red Purple Purple Purple Purple Purple Black Red Black Red Red Purple Purple Purple Purple Red Red Black Red Black Purple Purple Black Black Black\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Red Red Red Red Red Purple Purple Purple Purple Red Red Red Red Red Purple Purple Red Red Red\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Red Red Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Red Red Red Purple Black Black Black Black Black Red Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Red Purple Red Purple Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Red Red Red Red Black Black Black Black Black Red Red Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Purple Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Purple Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Green Green Black Black Black\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Green Green Black Black Black\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Green Black Black Black Black\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Green Black Black Black Black\nRed Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Green Black Black Black Black\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Green Black Black Black Black\nRed Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Black Black Black Black Black\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Black Black Black Black Black\nRed Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Black Black Black Black Black\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Black Black Black Black Black\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Orange Black\nOrange Orange Orange\nBlack Orange Black\nOutput:\nBlack Black Black Orange Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Orange Black Black Black\nOrange Black Orange Orange Black Orange Orange Black Orange\nBlack Black Black Black Black Black Black Black Black\nOrange Black Orange Orange Black Orange Orange Black Orange\nBlack Black Black Orange Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Orange Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Pink\nBlack Pink Black\nPink Black Black\nOutput:\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Black Pink\nBlack Black Black Black Black Black Black Pink Pink\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black\nBlack Black Black Black Pink Pink Black Black Black\nPink Pink Black Black Black Black Black Black Black\nPink Black Pink Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nYellow Yellow Black\nBlack Black Yellow\nBlack Black Yellow\nOutput:\nBlack Black Yellow Black Black Yellow Black Black Black\nYellow Yellow Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black\n```\n\n***Test example:***\nInput:\nBlack Black Green\nGreen Green Black\nBlack Green Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Green Black Green\nGreen Green Black Green Green Black Black Black Black\nBlack Black Green Black Black Green Black Black Black\nGreen Black Green Green Black Green Black Black Black\nBlack Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Green Black Green Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Blue Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Blue Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Blue Blue Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Red Red Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Blue Red Red Red Blue Black Black Black Black Black Blue Red Red Blue Black Black Black Black\nBlack Black Black Black Black Blue Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue Blue Red Red Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Blue Red Red Red Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Black Black Blue Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Blue\nBlack Black Black Black Black Blue Red Blue Blue Blue Blue Red Red Red Red Red Red Red Blue Black Black Blue Red Red Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Black Black Blue Red Red Red Red Red Red Red Blue Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Blue Green Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Green Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Blue Black Black Black Black Blue Red Red Blue Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Blue Black Black Black Black Blue Red Red Blue Black Blue Green Blue Blue Blue Green Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Green Green Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Green Blue Blue Blue Blue Green Green Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Green Green Green Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Green Green Green Blue Blue Blue Blue Green Green Green Green Blue Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Green Green Green Green Blue Blue Blue Blue Blue Green Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Green Green Green Green Blue Black Black Black Blue Green Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Green Blue Blue Black Black Black Black Black Black Black Black Blue Blue Yellow Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Green Green Blue Black Black Black Black Black Black Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Blue Green Green Green Green Blue Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Blue Green Green Green Green Blue Blue Blue Green Blue Black Black Black Blue Yellow Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Red Red Blue Blue Blue Blue Red Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Blue Red Red Blue Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Red Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Red Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Red Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Yellow Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Green Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow Blue Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Black Black Blue Yellow Yellow Blue Blue Blue Blue Yellow Blue\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Blue Yellow Yellow Blue Black Black Blue Green Blue Blue Blue Green Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Pink Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Pink Pink Blue Black Black Blue Black Black Black\nBlack Black Blue Pink Pink Blue Black Black Blue Pink Pink Blue Black Blue Blue Blue Black Black\nBlack Black Blue Pink Pink Blue Blue Blue Blue Pink Pink Blue Blue Blue Pink Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Pink Pink Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Yellow Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Blue Purple Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Pink Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Yellow Yellow Yellow Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Yellow Yellow Yellow Yellow Blue Black\nBlack Black Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Black\nBlack Black Blue Yellow Yellow Blue Black Black Blue Yellow Yellow Yellow Blue Black Black Blue Yellow Yellow Yellow Yellow Blue Black Black Blue Yellow Yellow Yellow Yellow Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Yellow Yellow Yellow Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Yellow Yellow Yellow Yellow Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black Blue Yellow Yellow Blue Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Yellow Yellow Blue Blue Blue Yellow Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Blue Yellow Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Yellow Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Blue Purple Purple Purple Blue Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Purple Purple Purple Blue Blue Blue Purple Purple Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Purple Blue Black Black Black Blue Purple Purple Purple Blue Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Black Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Blue Purple Blue Blue Blue Purple Blue Black Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Black Black Black Blue Pink Pink Blue Black\nBlack Blue Blue Blue Black Blue Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Black Black Black Blue Pink Pink Blue Black\nBlack Black Black Black Black Blue Blue Blue Black Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Black Black Black Blue Pink Pink Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Blue Pink Pink Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Pink Pink Blue Black\nBlack Black Blue Pink Pink Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Red Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Green Yellow Green Green Green Green Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Orange Yellow Orange Orange Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Purple Purple Purple Purple Brown Purple Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Green Red Red Red Red Red Gray Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Orange Orange Gray Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Black Black Purple\nBlack Black Purple Purple Purple Black Black Purple Purple Purple Purple\nBlack Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black\nOutput:\nBlack Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Black Black Blue\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Blue Black Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Green Green Green Black Black\nBlack Black Black Black Black Black Green Black Green Black Black\nBlack Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Green Black Green Black Black\nBlack Black Black Black Black Black Green Green Green Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Black Purple Black Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Black Purple Black Black Black Purple Purple Purple\nBlack Black Purple Black Purple Black Black Black Purple Black Purple\nBlack Black Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black\nPurple Black Purple Black Black Black Purple Purple Purple Purple Black\nPurple Purple Purple Purple Purple Black Purple Black Black Purple Black\nPurple Black Black Black Purple Black Purple Black Black Purple Black\nPurple Purple Purple Purple Purple Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black\nBlack Black Red Black Red Black Red Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black\nBlack Black Red Black Red Black Black Black Blue Blue Blue\nBlack Black Red Black Red Black Black Black Blue Black Blue\nBlack Black Red Red Red Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black\nGreen Black Green Black Black Black Blue Blue Blue Blue Black\nGreen Green Green Green Green Black Blue Black Black Blue Black\nGreen Black Black Black Green Black Blue Black Black Blue Black\nGreen Green Green Green Green Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Purple Black Purple Black Black\nBlack Black Purple Black Black Black Purple Black Black Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Purple Black Black Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Red Black Red Black Black\nBlack Black Blue Black Black Black Blue Black Black Red Red Red Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Red Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Green Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Green Black Black Blue Blue Blue Black\nBlack Black Black Black Black Green Green Green Black Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Black Purple Black Black Purple Black Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black\nBlack Purple Black Black Purple Black Black Black Black Purple Black Black Purple Black\nBlack Purple Purple Purple Purple Black Black Black Black Purple Black Black Purple Black\nBlack Purple Black Black Purple Black Black Black Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Black Black Black Purple Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Black Black Black Purple Black Black Purple Black Black\nBlack Black Purple Black Purple Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Yellow Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Red Red Red Red Black\nBlack Green Black Black Green Black Black Black Black Red Black Black Red Black\nBlack Green Green Green Green Black Black Black Black Red Black Black Red Black\nBlack Green Black Black Green Black Black Black Red Red Red Red Red Black\nBlack Green Green Green Green Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Blue Blue Blue Black Black Black Red Black Black Red Black Black\nBlack Black Blue Black Blue Black Black Black Red Red Red Red Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Purple Black Black Purple Black Black Purple Purple Purple Black Black Purple Black Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Black Purple Black Black Purple Purple Purple Black\nBlack Black Black Black Purple Black Purple Black Purple Black Purple Black Black Purple Black Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Purple Black Black Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Purple Black Black Purple Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Purple Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Yellow Black Black Yellow Black Black Yellow Yellow Yellow Black Black Red Black Red Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Red Red Red Black\nBlack Black Black Black Yellow Black Yellow Black Yellow Black Yellow Black Black Red Black Red Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Green Green Green Green Green Green Green\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Green Black Black Green Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Green Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nGray Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black\nBlack Gray Gray Blue Black Pink Black Black Black Black Black\nBlack Pink Black Black Black Pink Black Black Black Black Black\nBlack Pink Black Black Black Pink Black Black Black Black Black\nBlack Pink Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Black Black\nBlack Black Red Black Black Black Black Black Red Black Black\nBlack Black Red Black Green Green Blue Black Red Black Black\nBlack Black Red Black Red Black Black Black Red Black Black\nBlack Black Red Black Red Black Black Black Red Black Black\nBlack Black Red Black Red Green Green Green Green Black Black\nBlack Black Red Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nGray Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Gray Gray Gray Gray Gray Gray Green Black Green Black Black\nBlack Green Black Black Black Black Black Green Black Green Black Black\nBlack Green Black Gray Gray Blue Black Green Black Green Black Black\nBlack Green Black Green Black Black Black Green Black Green Black Black\nBlack Green Black Green Black Black Black Green Black Green Black Black\nBlack Green Black Green Gray Gray Gray Gray Black Green Black Black\nBlack Green Black Black Black Black Black Black Black Green Black Black\nBlack Green Gray Gray Gray Gray Gray Gray Gray Gray Black Black\n```\n\n***Test example:***\nInput:\nRed Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple\nRed Red Red Red Red Red Red Red Red Red Purple Black Purple\nPurple Black Black Black Black Black Black Black Black Black Purple Black Purple\nPurple Black Red Red Red Red Red Red Purple Black Purple Black Purple\nPurple Black Purple Black Black Black Black Black Purple Black Purple Black Purple\nPurple Black Purple Black Red Red Blue Black Purple Black Purple Black Purple\nPurple Black Purple Black Purple Black Black Black Purple Black Purple Black Purple\nPurple Black Purple Black Purple Black Black Black Purple Black Purple Black Purple\nPurple Black Purple Black Purple Red Red Red Red Black Purple Black Purple\nPurple Black Purple Black Black Black Black Black Black Black Purple Black Purple\nPurple Black Purple Red Red Red Red Red Red Red Red Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
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