ChainForge/chainforge/oaievals/numbers_game.cforge
ianarawjo b33397930b
TypeScript backend, HuggingFace models, JavaScript evaluators, Comment Nodes, and more (#81)
* Beginning to convert Python backend to Typescript

* Change all fetch() calls to fetch_from_backend switcher

* wip converting query.py to query.ts

* wip started utils.js conversion. Tested that OpenAI API call works

* more progress on converting utils.py to Typescript

* jest tests for query, utils, template.ts. Confirmed PromptPipeline works.

* wip converting queryLLM in flask_app to TS

* Tested queryLLM and StorageCache compressed saving/loading

* wip execute() in backend.ts

* Added execute() and tested w concrete func. Need to test eval()

* Added craco for optional webpack config. Config'd for TypeScript with Node.js packages browserify'd

* Execute JS code on iframe sandbox

* Tested and working JS Evaluator execution.

* wip swapping backends

* Tested TypeScript backendgit status! :) woot

* Added fetchEnvironAPIKeys to Flask server to fetch os.environ keys when running locally

* Route Anthropic calls through Flask when running locally

* Added info button to Eval nodes. Rebuilt react

* Edits to info modal on Eval node

* Remove/error out on Python eval nodes when not running locally.

* Check browser compat and display error if not supported

* Changed all example flows to use JS. Bug fix in query.ts

* Refactored to LLMProvider to streamline model additions

* Added HuggingFace models API

* Added back Dalai call support, routing through Flask

* Remove flask app calls and socketio server that are no longer used

* Added Comment Nodes. Rebuilt react.

* Fix PaLM temp=0 build, update package vers and rebuild react
2023-06-30 15:11:20 -04:00

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{"flow": {"nodes": [{"width": 312, "height": 311, "id": "prompt-numbers_game", "type": "prompt", "data": {"prompt": "{prompt}", "n": 1, "llms": [{"key": "aa3c0f03-22bd-416e-af4d-4bf5c4278c99", "settings": {"system_msg": "You are NumberGPT, a skilled mathematician , capable of solving complex problems .You are about to take a test where you have to find the count of numbers that is made up of only specific digits and lies in a given range.\nWork through your reasoning to solve the question extremely briefly, in less than 100 words.You must end your response with the phrase \"Therefore, the final answer is: (Answer)\", where Answer is the single numerical value of the answer to the question.\n", "temperature": 1, "functions": [], "function_call": "", "top_p": 1, "stop": [], "presence_penalty": 0, "frequency_penalty": 0}, "name": "GPT3.5", "emoji": "\ud83d\ude42", "model": "gpt-3.5-turbo", "base_model": "gpt-3.5-turbo", "temp": 1, "formData": {"shortname": "GPT3.5", "model": "gpt-3.5-turbo", "system_msg": "You are NumberGPT, a skilled mathematician , capable of solving complex problems .You are about to take a test where you have to find the count of numbers that is made up of only specific digits and lies in a given range.\nWork through your reasoning to solve the question extremely briefly, in less than 100 words.You must end your response with the phrase \"Therefore, the final answer is: (Answer)\", where Answer is the single numerical value of the answer to the question.\n", "temperature": 1, "functions": "", "function_call": "", "top_p": 1, "stop": "", "presence_penalty": 0, "frequency_penalty": 0}}]}, "position": {"x": 448, "y": 224}, "selected": false, "positionAbsolute": {"x": 448, "y": 224}, "dragging": false}, {"width": 333, "height": 182, "id": "eval-numbers_game", "type": "evaluator", "data": {"code": "function evaluate(response) {\n\tlet ideals = JSON.parse(response.meta['Ideal']);\n\treturn ideals.some(i => response.text.includes(i));\n}", "language": "javascript"}, "position": {"x": 820, "y": 150}, "positionAbsolute": {"x": 820, "y": 150}}, {"width": 228, "height": 196, "id": "vis-numbers_game", "type": "vis", "data": {"input": "eval-numbers_game"}, "position": {"x": 1200, "y": 250}, "positionAbsolute": {"x": 1200, "y": 250}}, {"width": 302, "height": 260, "id": "inspect-numbers_game", "type": "inspect", "data": {"input": "prompt-numbers_game"}, "position": {"x": 820, "y": 400}, "positionAbsolute": {"x": 820, "y": 400}}, {"width": 423, "height": 417, "id": "table-numbers_game", "type": "table", "data": {"rows": [{"prompt": "The number of 4-digit integers in the closed interval [4810,6484] formed by using only the digits 9,5,2,1,8,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (288)\", \"the final answer is: 288\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4990,6828] formed by using only the digits 8,9,4,1,3,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (222)\", \"the final answer is: 222\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3409,8169] formed by using only the digits 8,0,1,7,2,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (492)\", \"the final answer is: 492\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4343,6347] formed by using only the digits 4,2,8,1,0,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (324)\", \"the final answer is: 324\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3417,6811] formed by using only the digits 4,7,5,3,1,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (572)\", \"the final answer is: 572\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2555,6010] formed by using only the digits 7,3,6,9,8,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3833,7644] formed by using only the digits 7,0,6,2,1,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (598)\", \"the final answer is: 598\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3412,6687] formed by using only the digits 9,6,3,4,0,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (744)\", \"the final answer is: 744\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4144,8499] formed by using only the digits 9,5,8,7,4,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (713)\", \"the final answer is: 713\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4888,7425] formed by using only the digits 2,0,6,4,5,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (433)\", \"the final answer is: 433\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4014,8654] formed by using only the digits 3,6,1,8,9,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (516)\", \"the final answer is: 516\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2337,8870] formed by using only the digits 9,4,6,2,0,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (540)\", \"the final answer is: 540\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4668,6317] formed by using only the digits 3,1,7,2,5,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (252)\", \"the final answer is: 252\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4403,8465] formed by using only the digits 7,8,3,9,6,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (504)\", \"the final answer is: 504\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2768,8170] formed by using only the digits 8,0,6,1,9,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (492)\", \"the final answer is: 492\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2389,6465] formed by using only the digits 8,3,5,0,7,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3476,7627] formed by using only the digits 4,1,9,3,5,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (762)\", \"the final answer is: 762\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4842,7840] formed by using only the digits 7,6,3,0,2,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (414)\", \"the final answer is: 414\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3074,8980] formed by using only the digits 0,6,3,8,5,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (1054)\", \"the final answer is: 1054\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4380,6462] formed by using only the digits 0,6,8,5,9,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (288)\", \"the final answer is: 288\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3702,6921] formed by using only the digits 4,9,3,5,8,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (504)\", \"the final answer is: 504\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4926,8585] formed by using only the digits 4,9,2,0,3,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (241)\", \"the final answer is: 241\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3012,8480] formed by using only the digits 8,5,6,1,9,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (708)\", \"the final answer is: 708\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3305,8616] formed by using only the digits 4,0,2,7,3,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (572)\", \"the final answer is: 572\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3358,6284] formed by using only the digits 4,5,6,3,7,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (631)\", \"the final answer is: 631\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2845,6253] formed by using only the digits 2,7,0,3,4,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (468)\", \"the final answer is: 468\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4278,7016] formed by using only the digits 3,9,6,0,7,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (402)\", \"the final answer is: 402\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4153,6704] formed by using only the digits 7,1,8,6,0,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (110)\", \"the final answer is: 110\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3059,8847] formed by using only the digits 5,6,9,2,0,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (588)\", \"the final answer is: 588\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4653,8604] formed by using only the digits 4,0,1,6,5,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (442)\", \"the final answer is: 442\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2693,8964] formed by using only the digits 5,7,0,3,6,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (864)\", \"the final answer is: 864\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2693,8331] formed by using only the digits 3,2,0,9,6,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (593)\", \"the final answer is: 593\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4124,8723] formed by using only the digits 3,0,6,9,8,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (576)\", \"the final answer is: 576\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4278,7295] formed by using only the digits 5,0,4,1,9,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (576)\", \"the final answer is: 576\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2024,8398] formed by using only the digits 9,1,3,7,6,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (719)\", \"the final answer is: 719\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3064,7512] formed by using only the digits 1,2,6,0,7,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (324)\", \"the final answer is: 324\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3422,6310] formed by using only the digits 2,1,7,4,9,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (317)\", \"the final answer is: 317\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3655,7763] formed by using only the digits 6,4,1,3,5,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (656)\", \"the final answer is: 656\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3728,7121] formed by using only the digits 4,3,1,9,5,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (684)\", \"the final answer is: 684\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3295,7136] formed by using only the digits 9,6,5,8,7,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4157,8078] formed by using only the digits 6,4,1,9,0,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (402)\", \"the final answer is: 402\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4872,6062] formed by using only the digits 1,3,4,8,0,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (32)\", \"the final answer is: 32\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3690,6737] formed by using only the digits 0,7,4,3,8,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (288)\", \"the final answer is: 288\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4578,6838] formed by using only the digits 7,0,6,2,3,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4605,8850] formed by using only the digits 3,8,4,0,2,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (246)\", \"the final answer is: 246\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3270,8077] formed by using only the digits 9,6,1,4,0,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3256,7846] formed by using only the digits 0,7,4,6,3,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (1044)\", \"the final answer is: 1044\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2672,8614] formed by using only the digits 8,4,2,6,1,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (842)\", \"the final answer is: 842\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2016,6171] formed by using only the digits 4,7,9,3,2,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2863,7341] formed by using only the digits 7,9,0,8,4,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (481)\", \"the final answer is: 481\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4521,7600] formed by using only the digits 4,0,1,9,8,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (312)\", \"the final answer is: 312\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4828,6327] formed by using only the digits 1,5,7,3,4,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2175,6006] formed by using only the digits 8,0,9,6,2,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (400)\", \"the final answer is: 400\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3874,6905] formed by using only the digits 0,8,7,9,6,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (182)\", \"the final answer is: 182\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2979,6492] formed by using only the digits 3,9,4,0,6,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (572)\", \"the final answer is: 572\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3003,7731] formed by using only the digits 7,1,4,3,6,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (841)\", \"the final answer is: 841\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4730,8596] formed by using only the digits 9,6,3,4,2,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (252)\", \"the final answer is: 252\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2189,7207] formed by using only the digits 5,8,4,0,9,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3280,8791] formed by using only the digits 2,4,5,8,1,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (828)\", \"the final answer is: 828\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3954,7092] formed by using only the digits 9,6,0,1,2,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2214,7277] formed by using only the digits 6,5,7,3,2,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (1116)\", \"the final answer is: 1116\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2328,8192] formed by using only the digits 7,4,0,8,6,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (720)\", \"the final answer is: 720\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3550,7491] formed by using only the digits 3,9,5,7,4,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (630)\", \"the final answer is: 630\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4216,7181] formed by using only the digits 0,5,6,7,9,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (468)\", \"the final answer is: 468\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4085,7010] formed by using only the digits 6,2,5,8,7,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3490,7990] formed by using only the digits 4,3,2,6,7,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (756)\", \"the final answer is: 756\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4519,7970] formed by using only the digits 0,3,1,8,6,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2410,8750] formed by using only the digits 4,8,0,9,6,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (714)\", \"the final answer is: 714\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2309,6922] formed by using only the digits 0,3,2,8,6,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (543)\", \"the final answer is: 543\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2288,7733] formed by using only the digits 0,9,4,8,3,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2014,6909] formed by using only the digits 9,2,4,5,1,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (639)\", \"the final answer is: 639\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2768,7392] formed by using only the digits 6,1,8,9,5,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4440,8819] formed by using only the digits 7,4,6,8,3,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (750)\", \"the final answer is: 750\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3366,6274] formed by using only the digits 5,0,9,4,8,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2195,7593] formed by using only the digits 5,6,9,8,2,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (612)\", \"the final answer is: 612\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3145,6372] formed by using only the digits 1,3,7,4,6,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (514)\", \"the final answer is: 514\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3265,6266] formed by using only the digits 7,6,3,1,8,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4035,7662] formed by using only the digits 6,4,1,7,8,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (548)\", \"the final answer is: 548\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3346,6877] formed by using only the digits 0,5,2,8,1,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2582,8648] formed by using only the digits 6,8,1,3,4,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (1026)\", \"the final answer is: 1026\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3234,6313] formed by using only the digits 6,2,8,4,0,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (504)\", \"the final answer is: 504\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2585,7033] formed by using only the digits 8,2,0,7,6,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (342)\", \"the final answer is: 342\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4203,6849] formed by using only the digits 4,6,0,3,1,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (324)\", \"the final answer is: 324\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3422,6998] formed by using only the digits 7,4,0,9,3,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (312)\", \"the final answer is: 312\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4107,8096] formed by using only the digits 3,2,9,7,6,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2145,6334] formed by using only the digits 2,3,0,9,5,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (612)\", \"the final answer is: 612\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2082,6714] formed by using only the digits 4,5,2,1,6,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (831)\", \"the final answer is: 831\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4512,7575] formed by using only the digits 6,5,2,9,3,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4744,7717] formed by using only the digits 5,9,0,8,3,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2064,7264] formed by using only the digits 4,8,2,1,9,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4248,8343] formed by using only the digits 5,4,1,8,9,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3562,8394] formed by using only the digits 5,4,9,6,3,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (731)\", \"the final answer is: 731\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3606,6548] formed by using only the digits 2,8,4,3,6,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4944,8324] formed by using only the digits 3,9,2,6,5,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3197,6428] formed by using only the digits 5,4,7,1,8,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4588,8907] formed by using only the digits 1,3,2,9,6,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3029,7493] formed by using only the digits 7,2,9,0,3,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (529)\", \"the final answer is: 529\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3334,6446] formed by using only the digits 3,2,5,9,6,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (460)\", \"the final answer is: 460\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2761,6029] formed by using only the digits 7,9,2,3,8,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (522)\", \"the final answer is: 522\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3906,8707] formed by using only the digits 3,5,4,6,0,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (828)\", \"the final answer is: 828\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4250,6522] formed by using only the digits 5,4,9,2,8,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (378)\", \"the final answer is: 378\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2628,7811] formed by using only the digits 7,2,3,6,4,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (931)\", \"the final answer is: 931\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2064,6849] formed by using only the digits 9,2,6,0,4,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (585)\", \"the final answer is: 585\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2197,7761] formed by using only the digits 2,8,5,0,6,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (828)\", \"the final answer is: 828\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3602,6525] formed by using only the digits 5,1,9,2,6,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (406)\", \"the final answer is: 406\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3415,8502] formed by using only the digits 3,4,5,0,6,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (786)\", \"the final answer is: 786\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3326,7345] formed by using only the digits 8,4,5,2,1,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (504)\", \"the final answer is: 504\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2508,7758] formed by using only the digits 4,1,3,2,7,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (930)\", \"the final answer is: 930\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2631,7748] formed by using only the digits 0,1,5,4,3,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (864)\", \"the final answer is: 864\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3850,8785] formed by using only the digits 4,3,5,1,2,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (624)\", \"the final answer is: 624\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4050,8835] formed by using only the digits 4,0,8,7,1,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (604)\", \"the final answer is: 604\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2575,6601] formed by using only the digits 4,5,8,3,1,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3212,7885] formed by using only the digits 8,7,5,2,1,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (609)\", \"the final answer is: 609\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3105,6204] formed by using only the digits 0,4,7,8,9,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4490,6652] formed by using only the digits 3,4,7,9,6,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (486)\", \"the final answer is: 486\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2201,6076] formed by using only the digits 3,8,9,1,4,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (612)\", \"the final answer is: 612\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2545,8833] formed by using only the digits 3,2,9,1,4,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (720)\", \"the final answer is: 720\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4785,6621] formed by using only the digits 6,2,1,7,9,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (331)\", \"the final answer is: 331\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4738,8917] formed by using only the digits 9,0,8,7,6,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (720)\", \"the final answer is: 720\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4402,8795] formed by using only the digits 4,3,0,6,5,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (539)\", \"the final answer is: 539\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4224,8386] formed by using only the digits 7,3,2,1,9,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (315)\", \"the final answer is: 315\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4620,7586] formed by using only the digits 4,6,1,2,0,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (240)\", \"the final answer is: 240\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3905,8914] formed by using only the digits 4,9,3,7,6,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (681)\", \"the final answer is: 681\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2989,8809] formed by using only the digits 0,4,2,5,8,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (589)\", \"the final answer is: 589\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3398,6017] formed by using only the digits 8,3,7,0,5,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (576)\", \"the final answer is: 576\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3922,8562] formed by using only the digits 0,4,6,8,7,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (720)\", \"the final answer is: 720\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4570,6967] formed by using only the digits 2,6,7,1,5,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4762,8547] formed by using only the digits 2,4,3,7,0,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (222)\", \"the final answer is: 222\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3705,7664] formed by using only the digits 8,6,5,1,0,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3140,7060] formed by using only the digits 1,9,2,4,3,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (372)\", \"the final answer is: 372\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3630,8537] formed by using only the digits 0,3,1,6,8,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (420)\", \"the final answer is: 420\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2550,7219] formed by using only the digits 5,2,6,0,9,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (564)\", \"the final answer is: 564\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3446,8014] formed by using only the digits 7,8,0,2,3,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (546)\", \"the final answer is: 546\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2970,7894] formed by using only the digits 1,8,7,6,2,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3856,8505] formed by using only the digits 8,2,3,1,4,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (588)\", \"the final answer is: 588\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4773,7287] formed by using only the digits 4,3,5,2,0,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (292)\", \"the final answer is: 292\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4352,7231] formed by using only the digits 5,9,8,2,3,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (378)\", \"the final answer is: 378\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3719,8041] formed by using only the digits 2,1,0,3,4,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4302,7876] formed by using only the digits 7,5,1,6,4,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (820)\", \"the final answer is: 820\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4344,6986] formed by using only the digits 7,6,0,8,4,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (382)\", \"the final answer is: 382\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2815,8629] formed by using only the digits 0,8,9,5,6,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (762)\", \"the final answer is: 762\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2565,6073] formed by using only the digits 5,2,6,0,7,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (330)\", \"the final answer is: 330\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2663,6479] formed by using only the digits 1,4,2,6,0,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (399)\", \"the final answer is: 399\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4686,8747] formed by using only the digits 5,7,0,1,8,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (594)\", \"the final answer is: 594\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4627,6241] formed by using only the digits 3,2,7,9,6,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (12)\", \"the final answer is: 12\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3770,7804] formed by using only the digits 7,6,9,1,4,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (660)\", \"the final answer is: 660\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3655,6007] formed by using only the digits 3,0,7,2,5,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (288)\", \"the final answer is: 288\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3458,7922] formed by using only the digits 6,2,1,8,3,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (288)\", \"the final answer is: 288\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4257,6444] formed by using only the digits 8,0,3,1,2,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (0)\", \"the final answer is: 0\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2489,8000] formed by using only the digits 3,6,7,5,1,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (972)\", \"the final answer is: 972\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3322,8682] formed by using only the digits 1,8,0,9,4,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (576)\", \"the final answer is: 576\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4413,6105] formed by using only the digits 2,0,5,4,3,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (318)\", \"the final answer is: 318\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2054,6908] formed by using only the digits 4,7,5,0,2,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (628)\", \"the final answer is: 628\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3436,7474] formed by using only the digits 2,5,0,3,1,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2083,6470] formed by using only the digits 2,8,6,1,5,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (750)\", \"the final answer is: 750\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4298,7081] formed by using only the digits 5,7,9,3,4,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (396)\", \"the final answer is: 396\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2404,8501] formed by using only the digits 0,3,4,9,6,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (864)\", \"the final answer is: 864\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4217,6344] formed by using only the digits 1,3,9,4,2,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (176)\", \"the final answer is: 176\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2549,8527] formed by using only the digits 8,6,9,3,0,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (726)\", \"the final answer is: 726\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2629,7297] formed by using only the digits 7,5,4,2,6,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (780)\", \"the final answer is: 780\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3961,6379] formed by using only the digits 0,6,8,4,3,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (498)\", \"the final answer is: 498\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4307,8425] formed by using only the digits 4,6,3,2,1,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (576)\", \"the final answer is: 576\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4688,8670] formed by using only the digits 1,2,3,6,8,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (564)\", \"the final answer is: 564\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4322,8884] formed by using only the digits 4,1,8,7,9,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (782)\", \"the final answer is: 782\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4671,7154] formed by using only the digits 5,9,2,7,3,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4887,6576] formed by using only the digits 5,6,7,0,3,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (316)\", \"the final answer is: 316\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3118,7157] formed by using only the digits 1,8,5,2,4,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (455)\", \"the final answer is: 455\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4676,6596] formed by using only the digits 6,8,0,9,1,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (108)\", \"the final answer is: 108\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2459,6017] formed by using only the digits 1,8,9,0,2,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (108)\", \"the final answer is: 108\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4662,7338] formed by using only the digits 5,0,9,3,2,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (305)\", \"the final answer is: 305\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3532,6153] formed by using only the digits 9,4,5,7,0,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3932,8645] formed by using only the digits 5,0,9,3,1,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (382)\", \"the final answer is: 382\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3234,6601] formed by using only the digits 8,0,3,9,5,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (360)\", \"the final answer is: 360\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3800,7854] formed by using only the digits 7,2,9,8,6,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (372)\", \"the final answer is: 372\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2673,8986] formed by using only the digits 2,7,3,1,4,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (904)\", \"the final answer is: 904\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3317,7790] formed by using only the digits 0,9,6,2,5,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3741,6063] formed by using only the digits 3,1,2,0,9,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (64)\", \"the final answer is: 64\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2807,6285] formed by using only the digits 3,5,4,0,6,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (720)\", \"the final answer is: 720\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4428,8755] formed by using only the digits 6,7,2,8,4,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (982)\", \"the final answer is: 982\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3162,6011] formed by using only the digits 9,4,3,7,6,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2866,6324] formed by using only the digits 9,0,1,2,6,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (159)\", \"the final answer is: 159\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2173,7774] formed by using only the digits 0,8,4,9,2,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (612)\", \"the final answer is: 612\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3106,8395] formed by using only the digits 9,5,4,0,6,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3661,7846] formed by using only the digits 8,6,4,1,2,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3615,6863] formed by using only the digits 9,0,7,1,6,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (279)\", \"the final answer is: 279\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4470,6702] formed by using only the digits 4,0,7,8,6,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (266)\", \"the final answer is: 266\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3568,8535] formed by using only the digits 3,1,8,7,0,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4963,6255] formed by using only the digits 2,4,1,7,9,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (70)\", \"the final answer is: 70\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3156,7767] formed by using only the digits 4,9,7,3,6,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (1031)\", \"the final answer is: 1031\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2703,7020] formed by using only the digits 8,1,6,4,3,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4493,6324] formed by using only the digits 2,3,1,5,0,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3947,7636] formed by using only the digits 7,2,5,0,6,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (552)\", \"the final answer is: 552\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4400,8929] formed by using only the digits 3,4,9,1,5,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (576)\", \"the final answer is: 576\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3833,7254] formed by using only the digits 2,5,7,1,9,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (489)\", \"the final answer is: 489\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2417,8247] formed by using only the digits 8,7,9,4,3,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (864)\", \"the final answer is: 864\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2115,6104] formed by using only the digits 2,4,1,6,3,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (860)\", \"the final answer is: 860\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4623,8027] formed by using only the digits 6,5,1,7,9,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4995,6226] formed by using only the digits 6,5,3,4,0,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (264)\", \"the final answer is: 264\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2799,6786] formed by using only the digits 3,1,0,8,6,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4819,8723] formed by using only the digits 0,9,1,2,4,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (252)\", \"the final answer is: 252\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2374,7622] formed by using only the digits 6,9,0,8,5,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4048,6524] formed by using only the digits 6,8,4,3,0,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (337)\", \"the final answer is: 337\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2125,7871] formed by using only the digits 9,3,1,7,4,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (612)\", \"the final answer is: 612\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3710,7382] formed by using only the digits 7,0,2,3,6,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (390)\", \"the final answer is: 390\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2342,7041] formed by using only the digits 6,2,0,7,4,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (589)\", \"the final answer is: 589\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3028,7460] formed by using only the digits 9,3,5,0,1,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (420)\", \"the final answer is: 420\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3966,8264] formed by using only the digits 0,2,5,1,4,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2027,6171] formed by using only the digits 1,2,8,3,7,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2646,6169] formed by using only the digits 1,9,3,0,5,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (468)\", \"the final answer is: 468\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2644,7525] formed by using only the digits 2,4,6,9,3,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (922)\", \"the final answer is: 922\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3617,6784] formed by using only the digits 9,6,0,5,8,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (360)\", \"the final answer is: 360\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2268,7143] formed by using only the digits 2,7,9,6,4,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (603)\", \"the final answer is: 603\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3771,7092] formed by using only the digits 9,0,8,5,1,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3656,7007] formed by using only the digits 2,9,0,5,3,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (288)\", \"the final answer is: 288\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4824,6952] formed by using only the digits 2,9,1,4,6,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (240)\", \"the final answer is: 240\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4595,8450] formed by using only the digits 9,8,1,5,7,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (592)\", \"the final answer is: 592\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3832,6886] formed by using only the digits 9,8,1,7,0,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4552,7555] formed by using only the digits 5,4,6,9,8,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (650)\", \"the final answer is: 650\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2599,6503] formed by using only the digits 0,1,4,7,5,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (468)\", \"the final answer is: 468\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4666,6738] formed by using only the digits 1,9,0,6,2,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (144)\", \"the final answer is: 144\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4436,7820] formed by using only the digits 2,3,8,4,1,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (308)\", \"the final answer is: 308\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4095,6520] formed by using only the digits 3,4,9,6,0,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (513)\", \"the final answer is: 513\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2720,7861] formed by using only the digits 8,9,7,3,4,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (702)\", \"the final answer is: 702\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4861,7539] formed by using only the digits 2,1,3,5,8,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4390,7956] formed by using only the digits 7,5,2,8,9,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (591)\", \"the final answer is: 591\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3148,7535] formed by using only the digits 3,0,1,5,6,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (718)\", \"the final answer is: 718\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3114,7403] formed by using only the digits 9,3,6,1,4,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (718)\", \"the final answer is: 718\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3962,8117] formed by using only the digits 2,9,0,6,3,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (269)\", \"the final answer is: 269\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3131,6422] formed by using only the digits 1,5,4,0,7,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3976,6378] formed by using only the digits 4,2,3,7,6,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (324)\", \"the final answer is: 324\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2205,8823] formed by using only the digits 1,6,8,2,9,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (764)\", \"the final answer is: 764\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3814,7253] formed by using only the digits 1,0,2,7,5,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (531)\", \"the final answer is: 531\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3000,6251] formed by using only the digits 7,1,0,5,4,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3113,6715] formed by using only the digits 0,6,4,1,9,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (568)\", \"the final answer is: 568\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3444,6599] formed by using only the digits 6,5,7,1,4,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (576)\", \"the final answer is: 576\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3167,7042] formed by using only the digits 0,7,3,4,1,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (392)\", \"the final answer is: 392\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4812,8755] formed by using only the digits 7,6,2,3,0,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (594)\", \"the final answer is: 594\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4070,7578] formed by using only the digits 3,8,5,0,1,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2535,7921] formed by using only the digits 8,3,5,9,0,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4036,8652] formed by using only the digits 5,0,8,9,7,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (540)\", \"the final answer is: 540\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4033,8707] formed by using only the digits 5,6,3,0,1,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (612)\", \"the final answer is: 612\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2498,7476] formed by using only the digits 0,6,7,9,8,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4298,6138] formed by using only the digits 2,6,4,3,0,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (168)\", \"the final answer is: 168\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4990,7559] formed by using only the digits 3,0,7,9,5,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (522)\", \"the final answer is: 522\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2642,6994] formed by using only the digits 9,7,3,0,5,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (644)\", \"the final answer is: 644\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4620,6221] formed by using only the digits 6,5,7,2,9,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (324)\", \"the final answer is: 324\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2005,6340] formed by using only the digits 1,9,4,6,7,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (480)\", \"the final answer is: 480\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4456,6246] formed by using only the digits 5,1,4,3,2,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (355)\", \"the final answer is: 355\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4864,7999] formed by using only the digits 4,3,2,7,5,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (444)\", \"the final answer is: 444\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2137,6202] formed by using only the digits 8,5,9,6,7,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (252)\", \"the final answer is: 252\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2591,7613] formed by using only the digits 3,2,5,7,9,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (654)\", \"the final answer is: 654\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4042,8346] formed by using only the digits 0,5,4,7,2,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (851)\", \"the final answer is: 851\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4502,7785] formed by using only the digits 9,0,7,6,8,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (350)\", \"the final answer is: 350\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3536,6674] formed by using only the digits 0,8,5,3,4,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (487)\", \"the final answer is: 487\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2515,6540] formed by using only the digits 7,6,2,0,4,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3451,6060] formed by using only the digits 6,5,7,9,0,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (379)\", \"the final answer is: 379\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4980,6406] formed by using only the digits 7,6,3,4,5,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (288)\", \"the final answer is: 288\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4960,6529] formed by using only the digits 8,4,1,9,6,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (126)\", \"the final answer is: 126\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4364,7300] formed by using only the digits 0,7,3,1,8,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (73)\", \"the final answer is: 73\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2220,8968] formed by using only the digits 3,2,7,0,6,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (1038)\", \"the final answer is: 1038\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4812,7099] formed by using only the digits 1,6,5,8,4,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (460)\", \"the final answer is: 460\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4809,6096] formed by using only the digits 0,5,6,2,9,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (250)\", \"the final answer is: 250\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2288,6582] formed by using only the digits 5,1,4,3,6,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (786)\", \"the final answer is: 786\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3059,7913] formed by using only the digits 8,3,1,9,7,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (614)\", \"the final answer is: 614\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3167,8876] formed by using only the digits 6,3,9,1,8,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (798)\", \"the final answer is: 798\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3824,7844] formed by using only the digits 1,8,9,5,0,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (372)\", \"the final answer is: 372\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4314,6923] formed by using only the digits 2,0,8,1,6,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2024,6010] formed by using only the digits 4,5,7,3,9,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3776,8488] formed by using only the digits 8,7,0,1,9,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (504)\", \"the final answer is: 504\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3437,6922] formed by using only the digits 7,1,8,2,0,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4805,8307] formed by using only the digits 4,5,8,0,1,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (325)\", \"the final answer is: 325\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3511,7837] formed by using only the digits 4,9,8,1,7,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (372)\", \"the final answer is: 372\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2019,6661] formed by using only the digits 3,4,6,8,5,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (817)\", \"the final answer is: 817\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4545,6085] formed by using only the digits 6,1,4,9,2,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (108)\", \"the final answer is: 108\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3112,6951] formed by using only the digits 8,5,0,9,6,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (409)\", \"the final answer is: 409\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2539,7127] formed by using only the digits 1,6,3,2,9,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (739)\", \"the final answer is: 739\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2860,7524] formed by using only the digits 1,4,7,5,3,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (802)\", \"the final answer is: 802\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2633,6889] formed by using only the digits 5,0,3,2,7,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (468)\", \"the final answer is: 468\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2106,7909] formed by using only the digits 8,1,3,5,9,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4628,6728] formed by using only the digits 2,9,7,6,1,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (161)\", \"the final answer is: 161\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2916,7690] formed by using only the digits 0,9,4,6,3,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (787)\", \"the final answer is: 787\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4541,6316] formed by using only the digits 5,3,0,2,9,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2128,6008] formed by using only the digits 4,8,0,2,1,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (595)\", \"the final answer is: 595\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2077,6613] formed by using only the digits 4,3,0,1,5,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3011,6555] formed by using only the digits 5,0,1,3,8,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (425)\", \"the final answer is: 425\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2661,8973] formed by using only the digits 8,6,1,9,0,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (509)\", \"the final answer is: 509\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3933,8169] formed by using only the digits 1,0,2,3,7,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3846,7012] formed by using only the digits 9,2,1,0,3,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (48)\", \"the final answer is: 48\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2787,7995] formed by using only the digits 1,2,0,5,7,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (472)\", \"the final answer is: 472\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4513,7116] formed by using only the digits 9,5,1,2,3,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (220)\", \"the final answer is: 220\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3023,7827] formed by using only the digits 0,3,8,4,7,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (828)\", \"the final answer is: 828\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2686,6503] formed by using only the digits 3,4,8,0,1,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (468)\", \"the final answer is: 468\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2932,6940] formed by using only the digits 7,8,5,6,4,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4494,7440] formed by using only the digits 2,4,9,5,7,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (623)\", \"the final answer is: 623\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4202,6857] formed by using only the digits 7,0,2,1,3,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (142)\", \"the final answer is: 142\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4460,6254] formed by using only the digits 2,1,3,6,9,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (144)\", \"the final answer is: 144\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3175,7996] formed by using only the digits 0,4,7,2,9,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (429)\", \"the final answer is: 429\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3981,7491] formed by using only the digits 3,9,7,0,8,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (299)\", \"the final answer is: 299\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2434,6444] formed by using only the digits 9,3,5,7,1,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2218,7057] formed by using only the digits 3,2,1,9,7,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (373)\", \"the final answer is: 373\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3017,8181] formed by using only the digits 6,4,8,2,1,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (679)\", \"the final answer is: 679\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3745,6952] formed by using only the digits 1,3,8,0,4,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (288)\", \"the final answer is: 288\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4498,6061] formed by using only the digits 0,7,8,2,5,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2245,6394] formed by using only the digits 3,4,6,0,9,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (538)\", \"the final answer is: 538\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2332,7482] formed by using only the digits 1,6,5,3,9,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (779)\", \"the final answer is: 779\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4178,8887] formed by using only the digits 4,2,9,5,6,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4872,7534] formed by using only the digits 2,5,0,3,6,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4459,6286] formed by using only the digits 4,3,9,8,0,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (126)\", \"the final answer is: 126\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2158,7758] formed by using only the digits 4,1,8,0,2,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (540)\", \"the final answer is: 540\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2683,8801] formed by using only the digits 4,0,8,3,5,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (793)\", \"the final answer is: 793\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4008,7445] formed by using only the digits 5,2,1,3,6,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2281,7609] formed by using only the digits 9,1,0,2,8,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (335)\", \"the final answer is: 335\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4744,6516] formed by using only the digits 8,9,7,5,1,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (317)\", \"the final answer is: 317\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2262,6967] formed by using only the digits 9,8,7,0,1,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3091,6886] formed by using only the digits 8,2,6,4,5,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (863)\", \"the final answer is: 863\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2967,8873] formed by using only the digits 4,8,2,3,6,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (830)\", \"the final answer is: 830\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4295,6583] formed by using only the digits 6,3,8,4,1,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (288)\", \"the final answer is: 288\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3407,6060] formed by using only the digits 1,0,6,3,9,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (127)\", \"the final answer is: 127\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4212,8760] formed by using only the digits 8,5,7,2,1,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (558)\", \"the final answer is: 558\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2590,7991] formed by using only the digits 8,1,0,6,2,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (504)\", \"the final answer is: 504\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3496,8694] formed by using only the digits 4,3,9,2,6,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (758)\", \"the final answer is: 758\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2388,6604] formed by using only the digits 8,3,6,5,1,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (685)\", \"the final answer is: 685\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2771,7799] formed by using only the digits 5,8,9,6,4,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2445,6343] formed by using only the digits 8,7,4,3,6,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (611)\", \"the final answer is: 611\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2674,7565] formed by using only the digits 1,7,0,9,8,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (306)\", \"the final answer is: 306\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4540,6037] formed by using only the digits 3,5,9,6,7,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3896,7727] formed by using only the digits 5,2,0,7,3,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (624)\", \"the final answer is: 624\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3723,8634] formed by using only the digits 4,8,2,7,6,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (768)\", \"the final answer is: 768\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2729,7838] formed by using only the digits 1,7,4,9,5,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (828)\", \"the final answer is: 828\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4197,7330] formed by using only the digits 5,4,6,1,7,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (654)\", \"the final answer is: 654\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2079,7756] formed by using only the digits 0,9,2,3,7,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (535)\", \"the final answer is: 535\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4340,8799] formed by using only the digits 0,6,3,8,4,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (522)\", \"the final answer is: 522\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3456,6133] formed by using only the digits 5,9,8,1,2,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (216)\", \"the final answer is: 216\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3835,8940] formed by using only the digits 5,2,8,3,6,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (669)\", \"the final answer is: 669\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2202,6489] formed by using only the digits 9,5,2,3,8,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (864)\", \"the final answer is: 864\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4843,7709] formed by using only the digits 1,9,8,6,3,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (324)\", \"the final answer is: 324\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2186,7336] formed by using only the digits 7,4,1,9,6,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (468)\", \"the final answer is: 468\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2090,6657] formed by using only the digits 5,7,3,8,9,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2528,8423] formed by using only the digits 6,2,8,0,7,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (836)\", \"the final answer is: 836\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3583,8306] formed by using only the digits 8,0,3,7,6,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (616)\", \"the final answer is: 616\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3476,8105] formed by using only the digits 0,2,9,8,7,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (255)\", \"the final answer is: 255\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2468,7222] formed by using only the digits 2,4,1,0,8,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (300)\", \"the final answer is: 300\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3720,6139] formed by using only the digits 9,4,6,1,7,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (222)\", \"the final answer is: 222\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2717,7409] formed by using only the digits 3,4,8,5,6,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (864)\", \"the final answer is: 864\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3482,6824] formed by using only the digits 7,4,8,6,5,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (762)\", \"the final answer is: 762\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4323,7544] formed by using only the digits 2,8,5,6,7,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (516)\", \"the final answer is: 516\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3428,8963] formed by using only the digits 4,3,5,1,9,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (529)\", \"the final answer is: 529\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2477,7134] formed by using only the digits 4,3,1,0,9,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (484)\", \"the final answer is: 484\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3416,6960] formed by using only the digits 4,6,2,5,1,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4228,6083] formed by using only the digits 7,1,8,3,0,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (33)\", \"the final answer is: 33\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2746,7609] formed by using only the digits 6,4,0,5,9,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3142,6549] formed by using only the digits 1,5,7,4,2,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (558)\", \"the final answer is: 558\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2198,6346] formed by using only the digits 1,7,9,3,8,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (264)\", \"the final answer is: 264\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2139,6290] formed by using only the digits 2,6,9,8,0,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (463)\", \"the final answer is: 463\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3673,8184] formed by using only the digits 4,0,9,6,5,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (684)\", \"the final answer is: 684\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4711,6589] formed by using only the digits 2,1,9,6,5,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (354)\", \"the final answer is: 354\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2370,8106] formed by using only the digits 0,1,5,9,6,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (472)\", \"the final answer is: 472\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4108,8239] formed by using only the digits 3,5,7,2,8,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (486)\", \"the final answer is: 486\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4426,6320] formed by using only the digits 8,9,6,4,1,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (210)\", \"the final answer is: 210\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2258,6447] formed by using only the digits 5,4,8,0,6,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (478)\", \"the final answer is: 478\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4149,8710] formed by using only the digits 1,6,3,2,5,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2472,6166] formed by using only the digits 7,9,0,5,2,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (324)\", \"the final answer is: 324\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4370,7246] formed by using only the digits 1,6,7,9,2,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (270)\", \"the final answer is: 270\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2207,6585] formed by using only the digits 9,6,8,4,1,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (540)\", \"the final answer is: 540\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2126,8841] formed by using only the digits 3,7,5,9,6,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (864)\", \"the final answer is: 864\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3380,6472] formed by using only the digits 1,6,4,9,5,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (534)\", \"the final answer is: 534\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2395,7837] formed by using only the digits 1,7,3,6,0,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (720)\", \"the final answer is: 720\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2133,7442] formed by using only the digits 4,9,0,7,6,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (733)\", \"the final answer is: 733\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3488,6543] formed by using only the digits 5,2,4,8,9,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (511)\", \"the final answer is: 511\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3910,6738] formed by using only the digits 5,9,8,4,6,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (576)\", \"the final answer is: 576\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3814,6227] formed by using only the digits 0,4,8,6,9,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (288)\", \"the final answer is: 288\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2368,6505] formed by using only the digits 7,6,8,4,9,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (288)\", \"the final answer is: 288\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2944,6446] formed by using only the digits 8,4,2,5,7,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3118,7596] formed by using only the digits 4,6,1,7,5,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (792)\", \"the final answer is: 792\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4948,8542] formed by using only the digits 7,4,0,9,8,1 if repetition is allowed is?", "ideal": "[\"the final answer is: (344)\", \"the final answer is: 344\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2345,6561] formed by using only the digits 7,5,4,0,3,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (648)\", \"the final answer is: 648\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4267,6525] formed by using only the digits 6,8,4,9,7,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (273)\", \"the final answer is: 273\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4404,8770] formed by using only the digits 4,8,0,6,1,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (501)\", \"the final answer is: 501\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4843,7254] formed by using only the digits 6,7,9,4,3,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (282)\", \"the final answer is: 282\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3363,6958] formed by using only the digits 7,9,6,4,5,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (827)\", \"the final answer is: 827\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2124,8175] formed by using only the digits 0,9,5,7,4,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (684)\", \"the final answer is: 684\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2901,8261] formed by using only the digits 2,8,6,0,4,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (522)\", \"the final answer is: 522\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4507,6878] formed by using only the digits 2,4,7,6,3,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (318)\", \"the final answer is: 318\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3159,6333] formed by using only the digits 8,3,1,4,6,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (458)\", \"the final answer is: 458\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2175,7866] formed by using only the digits 2,9,6,3,5,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (864)\", \"the final answer is: 864\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3910,8938] formed by using only the digits 7,6,9,8,3,4 if repetition is allowed is?", "ideal": "[\"the final answer is: (869)\", \"the final answer is: 869\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2771,7513] formed by using only the digits 6,9,0,8,3,7 if repetition is allowed is?", "ideal": "[\"the final answer is: (504)\", \"the final answer is: 504\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4754,8938] formed by using only the digits 9,2,8,3,0,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (413)\", \"the final answer is: 413\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4966,7588] formed by using only the digits 1,9,8,5,4,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (228)\", \"the final answer is: 228\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4312,8826] formed by using only the digits 7,1,2,3,0,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3264,6366] formed by using only the digits 6,1,5,4,8,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (677)\", \"the final answer is: 677\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [4694,8911] formed by using only the digits 5,7,3,4,9,0 if repetition is allowed is?", "ideal": "[\"the final answer is: (504)\", \"the final answer is: 504\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3307,6999] formed by using only the digits 0,8,7,2,3,5 if repetition is allowed is?", "ideal": "[\"the final answer is: (356)\", \"the final answer is: 356\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2391,6390] formed by using only the digits 1,5,6,8,7,2 if repetition is allowed is?", "ideal": "[\"the final answer is: (432)\", \"the final answer is: 432\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2971,8956] formed by using only the digits 0,8,4,1,7,3 if repetition is allowed is?", "ideal": "[\"the final answer is: (864)\", \"the final answer is: 864\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2355,6416] formed by using only the digits 8,1,7,6,3,9 if repetition is allowed is?", "ideal": "[\"the final answer is: (288)\", \"the final answer is: 288\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [2417,6046] formed by using only the digits 2,1,9,5,7,8 if repetition is allowed is?", "ideal": "[\"the final answer is: (360)\", \"the final answer is: 360\"]"}, {"prompt": "The number of 4-digit integers in the closed interval [3364,6440] formed by using only the digits 8,1,3,9,4,6 if repetition is allowed is?", "ideal": "[\"the final answer is: (460)\", \"the final answer is: 460\"]"}, {"prompt": "The number of 4-digit integers in the closed 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