SkillCompiler/data/format-preference/natural-instructions/tasks/task206_collatz_conjecture.json

{
    "Contributors": [
        "Kirby Kuznia"
    ],
    "Source": [
        "synthetic"
    ],
    "URL": [
        NaN
    ],
    "Categories": [
        "Program Execution"
    ],
    "Reasoning": [
        "Quantitative Reasoning",
        "Numerical Reasoning",
        "Mathematics -> Arithmetic"
    ],
    "Definition": [
        "In this task you will be given a list of integers. For every element in the list, if the element is even you should divide by two, if the element is odd you should multiply by three then add one. The output should be a list of integers that is the result of applying that logic to the input list."
    ],
    "Input_language": [
        "English"
    ],
    "Output_language": [
        "English"
    ],
    "Instruction_language": [
        "English"
    ],
    "Domains": [
        "Mathematics"
    ],
    "Positive Examples": [
        {
            "input": "[7, 9, 2, 8]",
            "output": "[22, 28, 1, 4]",
            "explanation": "The odd numbers, seven and nine, were multiplied by three and added one. The even numbers, two and eight, were divided by two. So this is a good example."
        },
        {
            "input": "[3, 4, 5, 6, 7]",
            "output": "[10, 2, 16, 3, 22]",
            "explanation": "The rules are applied correctly for even/odd numbers. So this is a good example"
        }
    ],
    "Negative Examples": [
        {
            "input": "[4, 10, 5, 11]",
            "output": "[4, 10, 5, 11, 2, 5, 16, 34]",
            "explanation": "The output appended the new values to the input list. So this is a bad example."
        },
        {
            "input": "[3, 9, 4, 1, 2]",
            "output": "[1.5, 4.5, 13, 0.5, 7]",
            "explanation": "The output divided the odd numbers by two, and multiplied the even numbers by three and added one. So this is a bad example."
        }
    ],
    "Instances": [
        {
            "id": "task206-f5f20065644c4ff6abc769fe2b9bba73",
            "input": "[72, 29, 49]",
            "output": [
                "[36, 88, 148]"
            ]
        },
        {
            "id": "task206-b1247c98804e4dfc8abf0c416d378e81",
            "input": "[27, 99, 188, 149]",
            "output": [
                "[82, 298, 94, 448]"
            ]
        },
        {
            "id": "task206-87f9d0a0b9d64d3b906aaedc9e47ca5a",
            "input": "[161, 37, 122, 192, 17]",
            "output": [
                "[484, 112, 61, 96, 52]"
            ]
        },
        {
            "id": "task206-447e41652b7240e685b92139711621bd",
            "input": "[81, 34, 156, 91, 37, 105, 61]",
            "output": [
                "[244, 17, 78, 274, 112, 316, 184]"
            ]
        },
        {
            "id": "task206-e23d38c21eb54c15a7b0761b34ee7f16",
            "input": "[47, 92]",
            "output": [
                "[142, 46]"
            ]
        },
        {
            "id": "task206-7aebc214cc5d436cb6a470106cff9844",
            "input": "[60, 162, 103, 182, 144, 43, 68, 179, 152]",
            "output": [
                "[30, 81, 310, 91, 72, 130, 34, 538, 76]"
            ]
        },
        {
            "id": "task206-8d968f9a6e964c99b9638a95c0f55432",
            "input": "[38, 69, 142, 75, 100]",
            "output": [
                "[19, 208, 71, 226, 50]"
            ]
        },
        {
            "id": "task206-9991fa27fcbe45c8af2027d0100f87f3",
            "input": "[11, 70]",
            "output": [
                "[34, 35]"
            ]
        },
        {
            "id": "task206-dd7398330b5140429e5dd5bfbb01121a",
            "input": "[7, 62, 18]",
            "output": [
                "[22, 31, 9]"
            ]
        },
        {
            "id": "task206-f0412e092941432bb1cc0d573ae649c5",
            "input": "[83, 67, 174, 124, 121, 59, 200, 51]",
            "output": [
                "[250, 202, 87, 62, 364, 178, 100, 154]"
            ]
        },
        {
            "id": "task206-d160c4eb86a743bfac0ab31e487484d2",
            "input": "[141, 107, 184, 10, 121, 46, 171]",
            "output": [
                "[424, 322, 92, 5, 364, 23, 514]"
            ]
        },
        {
            "id": "task206-ee1c405f52dc421d81917f581df99adb",
            "input": "[59, 170, 195, 46, 153, 138]",
            "output": [
                "[178, 85, 586, 23, 460, 69]"
            ]
        },
        {
            "id": "task206-1faec47023f348fbbfd59738e7d31c3b",
            "input": "[74, 93, 112, 22, 27, 98, 8]",
            "output": [
                "[37, 280, 56, 11, 82, 49, 4]"
            ]
        },
        {
            "id": "task206-a55ed62c1ebb4811944a850ed3ba65db",
            "input": "[39, 17, 154, 67, 75]",
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                "[118, 52, 77, 202, 226]"
            ]
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        {
            "id": "task206-7309a2d8e2674f67ab8bbb1bb4150e1a",
            "input": "[156, 83, 91, 147, 35]",
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                "[78, 250, 274, 442, 106]"
            ]
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        {
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            "input": "[166, 124, 145, 111, 127]",
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                "[83, 62, 436, 334, 382]"
            ]
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                "[166, 202, 17, 44]"
            ]
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                "[466, 39, 484, 43, 39, 424]"
            ]
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                "[53, 93, 304]"
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                "[214, 118, 550, 586, 532, 44, 79, 496]"
            ]
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                "[238, 580, 77, 100, 106]"
            ]
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            ]
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                "[196, 13, 83, 26, 68, 220, 118, 3]"
            ]
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                "[502, 74, 262, 32, 106, 30]"
            ]
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            ]
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                "[334, 91, 76, 232, 478]"
            ]
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            ]
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