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"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nPetya got interested in grammar on his third year in school. He invented his own language called Petya's. Petya wanted to create a maximally simple language that would be enough to chat with friends, that's why all the language's grammar can be described with the following set of rules:\n\n- There are three parts of speech: the adjective, the noun, the verb. Each word in his language is an adjective, noun or verb.\n- There are two genders: masculine and feminine. Each word in his language has gender either masculine or feminine.\n- Masculine adjectives end with -lios, and feminine adjectives end with -liala.\n- Masculine nouns end with -etr, and feminime nouns end with -etra.\n- Masculine verbs end with -initis, and feminime verbs end with -inites.\n- Thus, each word in the Petya's language has one of the six endings, given above. There are no other endings in Petya's language.\n- It is accepted that the whole word consists of an ending. That is, words \"lios\", \"liala\", \"etr\" and so on belong to the Petya's language.\n- There aren't any punctuation marks, grammatical tenses, singular/plural forms or other language complications.\n- A sentence is either exactly one valid language word or exactly one statement.\n\nStatement is any sequence of the Petya's language, that satisfy both conditions:\n\n- Words in statement follow in the following order (from the left to the right): zero or more adjectives followed by exactly one noun followed by zero or more verbs.\n- All words in the statement should have the same gender.\n\nAfter Petya's friend Vasya wrote instant messenger (an instant messaging program) that supported the Petya's language, Petya wanted to add spelling and grammar checking to the program. As Vasya was in the country and Petya didn't feel like waiting, he asked you to help him with this problem. Your task is to define by a given sequence of words, whether it is true that the given text represents exactly one sentence in Petya's language.\n\nThe input and output requirements are as follows:\n\nInput:\nThe first line contains one or more words consisting of lowercase Latin letters. The overall number of characters (including letters and spaces) does not exceed 105.\n\nIt is guaranteed that any two consecutive words are separated by exactly one space and the input data do not contain any other spaces. It is possible that given words do not belong to the Petya's language.\nOutput:\nIf some word of the given text does not belong to the Petya's language or if the text contains more that one sentence, print \"NO\" (without the quotes). Otherwise, print \"YES\" (without the quotes).\n\nHere are some example input and output pairs:\n\n[{\"input\": \"petr\", \"output\": \"YES\"}, {\"input\": \"etis atis animatis etis atis amatis\", \"output\": \"NO\"}, {\"input\": \"nataliala kataliala vetra feinites\", \"output\": \"YES\"}, {\"input\": \"veryfunnyprefixlios\\r\\n\", \"output\": \"YES\\r\\n\"}, {\"input\": \"lios lios etra\\r\\n\", \"output\": \"NO\\r\\n\"}, {\"input\": \"etr liala lios\\r\\n\", \"output\": \"NO\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
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"ground_truth": "{\"inputs\": [\"petr\\r\\n\", \"etis atis animatis etis atis amatis\\r\\n\", \"nataliala kataliala vetra feinites\\r\\n\", \"qweasbvflios\\r\\n\", \"lios lios petr initis qwe\\r\\n\", \"lios initis\\r\\n\", \"petr initis lios\\r\\n\", \"petra petra petra\\r\\n\", \"in\\r\\n\", \"liala petra initis\\r\\n\", \"liala petra inites\\r\\n\", \"liala initis\\r\\n\", \"liala petra petr inites\\r\\n\", \"liala petr inites\\r\\n\", \"llilitos\\r\\n\", \"i i i i i i i i i i i i i i i a a a a a a v v v v v v v v v v v\\r\\n\", \"hqaagnslliola vdumwjqalkyzbybwcaomxyffbkufaarhoebrqlpgshbmvjbwchfolyniuqkrysdhakzzrbiznhatifkbrqruswzhkewvgarmqtuadmsiquueumnpftiulfdpvzqfdgcfscczfsqivcdbuqvtyujirjwohskuabufdkehctkkguvetra oxnpizgojsrtinites\\r\\n\", \"etretra linites\\r\\n\", \"petretra petr\\r\\n\", \"lialalios petraveryfunnypetr\\r\\n\", \"petropetrapetr petra\\r\\n\", \"lios petrnonono\\r\\n\", \"lios petr initisandinitisandliala petrainitis\\r\\n\", \"petro\\r\\n\", \"petr initesinitis\\r\\n\", \"lios initis\\r\\n\", \"liala initespetra\\r\\n\", \"lios petrapetr\\r\\n\", \"initis petr\\r\\n\", \"lioslialapetrpetrainitisinitesliosliala initesinitislioslialapetrpetrainitisinitetra\\r\\n\", \"veryfunnyprefixpetr\\r\\n\", \"veryfunnyprefixpetra\\r\\n\", \"veryfunnyprefixinitis\\r\\n\", \"veryfunnyprefixinites\\r\\n\", \"veryfunnyprefixliala\\r\\n\", \"veryfunnyprefixlios\\r\\n\", \"veryfunnyprefixlialas\\r\\n\", \"veryfunnyprefixliala veryfunnyprefixpetretra\\r\\n\", \"veryfunnyprefixlios veryfunnyprefixinitisetr\\r\\n\", \"veryfunnyprefixlios aabbinitis\\r\\n\", \"veryfunnyprefixlios inites\\r\\n\", \"lios petr initis\\r\\n\", \"liala etra inites\\r\\n\", \"lios\\r\\n\", \"liala\\r\\n\", \"initis\\r\\n\", \"inites\\r\\n\", \"tes\\r\\n\", \"tr\\r\\n\", \"a\\r\\n\", \"lios lios\\r\\n\", \"lios\\r\\n\", \"liala\\r\\n\", \"petr\\r\\n\", \"petra\\r\\n\", \"pinitis\\r\\n\", \"pinites\\r\\n\", \"plios pliala\\r\\n\", \"plios petr\\r\\n\", \"plios petra\\r\\n\", \"plios plios\\r\\n\", \"plios initis\\r\\n\", \"plios pinites\\r\\n\", \"pliala plios\\r\\n\", \"pliala ppliala\\r\\n\", \"pliala petr\\r\\n\", \"pliala petra\\r\\n\", \"pliala pinitis\\r\\n\", \"pliala pinites\\r\\n\", \"petr plios\\r\\n\", \"petr pliala\\r\\n\", \"petr petr\\r\\n\", \"petr petra\\r\\n\", \"petr pinitis\\r\\n\", \"petr pinites\\r\\n\", \"petra lios\\r\\n\", \"petra liala\\r\\n\", \"petra petr\\r\\n\", \"petra petra\\r\\n\", \"petra initis\\r\\n\", \"petra inites\\r\\n\", \"initis lios\\r\\n\", \"initis liala\\r\\n\", \"initis petr\\r\\n\", \"initis petra\\r\\n\", \"initis initis\\r\\n\", \"initis inites\\r\\n\", \"inites lios\\r\\n\", \"inites liala\\r\\n\", \"inites petr\\r\\n\", \"inites petra\\r\\n\", \"inites initis\\r\\n\", \"inites inites\\r\\n\", \"lios lios lios\\r\\n\", \"lios lios liala\\r\\n\", \"lios lios etr\\r\\n\", \"lios lios etra\\r\\n\", \"lios lios initis\\r\\n\", \"lios lios inites\\r\\n\", \"lios liala lios\\r\\n\", \"lios liala liala\\r\\n\", \"lios liala etr\\r\\n\", \"lios liala etra\\r\\n\", \"lios liala initis\\r\\n\", \"lios liala inites\\r\\n\", \"lios etr lios\\r\\n\", \"lios etr liala\\r\\n\", \"lios etr etr\\r\\n\", \"lios etr etra\\r\\n\", \"lios etr initis\\r\\n\", \"lios etr inites\\r\\n\", \"lios etra lios\\r\\n\", \"lios etra liala\\r\\n\", \"lios etra etr\\r\\n\", \"lios etra etra\\r\\n\", \"lios etra initis\\r\\n\", \"lios etra inites\\r\\n\", \"lios initis lios\\r\\n\", \"lios initis liala\\r\\n\", \"lios initis etr\\r\\n\", \"lios initis etra\\r\\n\", \"lios initis initis\\r\\n\", \"lios initis inites\\r\\n\", \"lios inites lios\\r\\n\", \"lios inites liala\\r\\n\", \"lios inites etr\\r\\n\", \"lios inites etra\\r\\n\", \"lios inites initis\\r\\n\", \"lios inites inites\\r\\n\", \"liala lios lios\\r\\n\", \"liala lios liala\\r\\n\", \"liala lios etr\\r\\n\", \"liala lios etra\\r\\n\", \"liala lios initis\\r\\n\", \"liala lios inites\\r\\n\", \"liala liala lios\\r\\n\", \"liala liala liala\\r\\n\", \"liala liala etr\\r\\n\", \"liala liala etra\\r\\n\", \"liala liala initis\\r\\n\", \"liala liala inites\\r\\n\", \"liala etr lios\\r\\n\", \"liala etr liala\\r\\n\", \"liala etr etr\\r\\n\", \"liala etr etra\\r\\n\", \"liala etr initis\\r\\n\", \"liala etr inites\\r\\n\", \"liala etra lios\\r\\n\", \"liala etra liala\\r\\n\", \"liala etra etr\\r\\n\", \"liala etra etra\\r\\n\", \"liala etra initis\\r\\n\", \"liala etra inites\\r\\n\", \"liala initis lios\\r\\n\", \"liala initis liala\\r\\n\", \"liala initis etr\\r\\n\", \"liala initis etra\\r\\n\", \"liala initis initis\\r\\n\", \"liala initis inites\\r\\n\", \"liala inites lios\\r\\n\", \"liala inites liala\\r\\n\", \"liala inites etr\\r\\n\", \"liala inites etra\\r\\n\", \"liala inites initis\\r\\n\", \"liala inites inites\\r\\n\", \"etr lios lios\\r\\n\", \"etr lios liala\\r\\n\", \"etr lios etr\\r\\n\", \"etr lios etra\\r\\n\", \"etr lios initis\\r\\n\", \"etr lios inites\\r\\n\", \"etr liala lios\\r\\n\", \"etr liala liala\\r\\n\", \"etr liala etr\\r\\n\", \"etr liala etra\\r\\n\", \"etr liala initis\\r\\n\", \"etr liala inites\\r\\n\", \"etr etr lios\\r\\n\", \"etr etr liala\\r\\n\", \"etr etr etr\\r\\n\", \"etr etr etra\\r\\n\", \"etr etr initis\\r\\n\", \"etr etr inites\\r\\n\", \"etr etra lios\\r\\n\", \"etr etra liala\\r\\n\", \"etr etra etr\\r\\n\", \"etr etra etra\\r\\n\", \"etr etra initis\\r\\n\", \"etr etra inites\\r\\n\", \"etr initis lios\\r\\n\", \"etr initis liala\\r\\n\", \"etr initis etr\\r\\n\", \"etr initis etra\\r\\n\", \"etr initis initis\\r\\n\", \"etr initis inites\\r\\n\", \"etr inites lios\\r\\n\", \"etr inites liala\\r\\n\", \"etr inites etr\\r\\n\", \"etr inites etra\\r\\n\", \"etr inites initis\\r\\n\", \"etr inites inites\\r\\n\", \"etra lios lios\\r\\n\", \"etra lios liala\\r\\n\", \"etra lios etr\\r\\n\", \"etra lios etra\\r\\n\", \"etra lios initis\\r\\n\", \"etra lios inites\\r\\n\", \"etra liala lios\\r\\n\", \"etra liala liala\\r\\n\", \"etra liala etr\\r\\n\", \"etra liala etra\\r\\n\", \"etra liala initis\\r\\n\", \"etra liala inites\\r\\n\", \"etra etr lios\\r\\n\", \"etra etr liala\\r\\n\", \"etra etr etr\\r\\n\", \"etra etr etra\\r\\n\", \"etra etr initis\\r\\n\", \"etra etr inites\\r\\n\", \"etra etra lios\\r\\n\", \"etra etra liala\\r\\n\", \"etra etra etr\\r\\n\", \"etra etra etra\\r\\n\", \"etra etra initis\\r\\n\", \"etra etra inites\\r\\n\", \"etra initis lios\\r\\n\", \"etra initis liala\\r\\n\", \"etra initis etr\\r\\n\", \"etra initis etra\\r\\n\", \"etra initis initis\\r\\n\", \"etra initis inites\\r\\n\", \"etra inites lios\\r\\n\", \"etra inites liala\\r\\n\", \"etra inites etr\\r\\n\", \"etra inites etra\\r\\n\", \"etra inites initis\\r\\n\", \"etra inites inites\\r\\n\", \"initis lios lios\\r\\n\", \"initis lios liala\\r\\n\", \"initis lios etr\\r\\n\", \"initis lios etra\\r\\n\", \"initis lios initis\\r\\n\", \"initis lios inites\\r\\n\", \"initis liala lios\\r\\n\", \"initis liala liala\\r\\n\", \"initis liala etr\\r\\n\", \"initis liala etra\\r\\n\", \"initis liala initis\\r\\n\", \"initis liala inites\\r\\n\", \"initis etr lios\\r\\n\", \"initis etr liala\\r\\n\", \"initis etr etr\\r\\n\", \"initis etr etra\\r\\n\", \"initis etr initis\\r\\n\", \"initis etr inites\\r\\n\", \"initis etra lios\\r\\n\", \"initis etra liala\\r\\n\", \"initis etra etr\\r\\n\", \"initis etra etra\\r\\n\", \"initis etra initis\\r\\n\", \"initis etra inites\\r\\n\", \"initis initis lios\\r\\n\", \"initis initis liala\\r\\n\", \"initis initis etr\\r\\n\", \"initis initis etra\\r\\n\", \"initis initis initis\\r\\n\", \"initis initis inites\\r\\n\", \"initis inites lios\\r\\n\", \"initis inites liala\\r\\n\", \"initis inites etr\\r\\n\", \"initis inites etra\\r\\n\", \"initis inites initis\\r\\n\", \"initis inites inites\\r\\n\", \"inites lios lios\\r\\n\", \"inites lios liala\\r\\n\", \"inites lios etr\\r\\n\", \"inites lios etra\\r\\n\", \"inites lios initis\\r\\n\", \"inites lios inites\\r\\n\", \"inites liala lios\\r\\n\", \"inites liala liala\\r\\n\", \"inites liala etr\\r\\n\", \"inites liala etra\\r\\n\", \"inites liala initis\\r\\n\", \"inites liala inites\\r\\n\", \"inites etr lios\\r\\n\", \"inites etr liala\\r\\n\", \"inites etr etr\\r\\n\", \"inites etr etra\\r\\n\", \"inites etr initis\\r\\n\", \"inites etr inites\\r\\n\", \"inites etra lios\\r\\n\", \"inites etra liala\\r\\n\", \"inites etra etr\\r\\n\", \"inites etra etra\\r\\n\", \"inites etra initis\\r\\n\", \"inites etra inites\\r\\n\", \"inites initis lios\\r\\n\", \"inites initis liala\\r\\n\", \"inites initis etr\\r\\n\", \"inites initis etra\\r\\n\", \"inites initis initis\\r\\n\", \"inites initis inites\\r\\n\", \"inites inites lios\\r\\n\", \"inites inites liala\\r\\n\", \"inites inites etr\\r\\n\", \"inites inites etra\\r\\n\", \"inites inites initis\\r\\n\", \"inites inites inites\\r\\n\"], \"outputs\": [\"YES\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", 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"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nYet another round on DecoForces is coming! Grandpa Maks wanted to participate in it but someone has stolen his precious sofa! And how can one perform well with such a major loss?\n\nFortunately, the thief had left a note for Grandpa Maks. This note got Maks to the sofa storehouse. Still he had no idea which sofa belongs to him as they all looked the same!\n\nThe storehouse is represented as matrix n × m. Every sofa takes two neighbouring by some side cells. No cell is covered by more than one sofa. There can be empty cells.\n\nSofa A is standing to the left of sofa B if there exist two such cells a and b that xa < xb, a is covered by A and b is covered by B. Sofa A is standing to the top of sofa B if there exist two such cells a and b that ya < yb, a is covered by A and b is covered by B. Right and bottom conditions are declared the same way.\n\nNote that in all conditions A ≠ B. Also some sofa A can be both to the top of another sofa B and to the bottom of it. The same is for left and right conditions.\n\nThe note also stated that there are cntl sofas to the left of Grandpa Maks's sofa, cntr — to the right, cntt — to the top and cntb — to the bottom.\n\nGrandpa Maks asks you to help him to identify his sofa. It is guaranteed that there is no more than one sofa of given conditions.\n\nOutput the number of Grandpa Maks's sofa. If there is no such sofa that all the conditions are met for it then output -1.\n\nThe input and output requirements are as follows:\n\nInput:\nThe first line contains one integer number d (1 ≤ d ≤ 105) — the number of sofas in the storehouse.\n\nThe second line contains two integer numbers n, m (1 ≤ n, m ≤ 105) — the size of the storehouse.\n\nNext d lines contains four integer numbers x1, y1, x2, y2 (1 ≤ x1, x2 ≤ n, 1 ≤ y1, y2 ≤ m) — coordinates of the i-th sofa. It is guaranteed that cells (x1, y1) and (x2, y2) have common side, (x1, y1) ≠ (x2, y2) and no cell is covered by more than one sofa.\n\nThe last line contains four integer numbers cntl, cntr, cntt, cntb (0 ≤ cntl, cntr, cntt, cntb ≤ d - 1).\nOutput:\nPrint the number of the sofa for which all the conditions are met. Sofas are numbered 1 through d as given in input. If there is no such sofa then print -1.\n\nHere are some example input and output pairs:\n\n[{\"input\": \"2\\n3 2\\n3 1 3 2\\n1 2 2 2\\n1 0 0 1\", \"output\": \"1\"}, {\"input\": \"3\\n10 10\\n1 2 1 1\\n5 5 6 5\\n6 4 5 4\\n2 1 2 0\", \"output\": \"2\"}, {\"input\": \"2\\n2 2\\n2 1 1 1\\n1 2 2 2\\n1 0 0 0\", \"output\": \"-1\"}, {\"input\": \"1\\r\\n2 1\\r\\n2 1 1 1\\r\\n0 0 0 0\\r\\n\", \"output\": \"1\\r\\n\"}, {\"input\": \"1\\r\\n1 4\\r\\n1 2 1 1\\r\\n0 0 0 0\\r\\n\", \"output\": \"1\\r\\n\"}, {\"input\": \"4\\r\\n7 3\\r\\n6 1 7 1\\r\\n3 1 4 1\\r\\n6 2 5 2\\r\\n2 1 1 1\\r\\n2 1 3 0\\r\\n\", \"output\": \"3\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
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[\"1\\r\\n\", \"2\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"2\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"2\\r\\n\", \"1\\r\\n\", \"2\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"2\\r\\n\", \"2\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"2\\r\\n\", \"2\\r\\n\", \"2\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"2\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"2\\r\\n\", \"2\\r\\n\", \"1\\r\\n\", \"2\\r\\n\", \"2\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"3\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"2\\r\\n\", \"2\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"3\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"3\\r\\n\", \"2\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"2\\r\\n\", \"2\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"3\\r\\n\", \"3\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"2\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"3\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"2\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"3\\r\\n\", \"3\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"2\\r\\n\", \"2\\r\\n\", \"3\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"3\\r\\n\", \"4\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"4\\r\\n\", \"-1\\r\\n\", \"4\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"2\\r\\n\", \"-1\\r\\n\", \"-1\\r\\n\", \"5\\r\\n\", \"2\\r\\n\"]}",
"style": "rule"
}
|
zpo_codearc
|
{"itemid": 10}
|
[
{
"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nPetya recieved a gift of a string s with length up to 105 characters for his birthday. He took two more empty strings t and u and decided to play a game. This game has two possible moves:\n\n- Extract the first character of s and append t with this character.\n- Extract the last character of t and append u with this character.\n\nPetya wants to get strings s and t empty and string u lexicographically minimal.\n\nYou should write a program that will help Petya win the game.\n\nThe input and output requirements are as follows:\n\nInput:\nFirst line contains non-empty string s (1 ≤ |s| ≤ 105), consisting of lowercase English letters.\nOutput:\nPrint resulting string u.\n\nHere are some example input and output pairs:\n\n[{\"input\": \"cab\", \"output\": \"abc\"}, {\"input\": \"acdb\", \"output\": \"abdc\"}, {\"input\": \"aaaaaaa\\r\\n\", \"output\": \"aaaaaaa\\r\\n\"}, {\"input\": \"baaab\\r\\n\", \"output\": \"aaabb\\r\\n\"}, {\"input\": \"bbbb\\r\\n\", \"output\": \"bbbb\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
"role": "user"
}
] |
{
"ground_truth": "{\"inputs\": [\"cab\\r\\n\", \"acdb\\r\\n\", \"a\\r\\n\", \"ab\\r\\n\", \"ba\\r\\n\", \"dijee\\r\\n\", \"bhrmc\\r\\n\", \"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\\r\\n\", \"bababaaababaabbbbbabbbbbbaaabbabaaaaabbbbbaaaabbbbabaabaabababbbabbabbabaaababbabbababaaaaabaaaabbba\\r\\n\", \"bccbbcccbccbacacbaccaababcbaababaaaaabcaaabcaacbabcaababaabaccacacccbacbcacbbbaacaaccccabbbbacbcbbba\\r\\n\", \"eejahjfbbcdhbieiigaihidhageiechaadieecaaehcehjbddgcjgagdfgffdaaihbecebdjhjagghecdhbhdfbedhfhfafbjajg\\r\\n\", \"bnrdfnybkzepmluyrhofwnwvfmkdwolvyzrqhuhztvlwjldqmoyxzytpfmrgouymeupxrvpbesyxixnrfbxnqcwgmgjstknqtwrr\\r\\n\", \"bcaeaae\\r\\n\", \"edcadcbcdd\\r\\n\", \"a\\r\\n\", \"a\\r\\n\", \"a\\r\\n\", \"b\\r\\n\", \"b\\r\\n\", \"a\\r\\n\", \"c\\r\\n\", \"a\\r\\n\", \"b\\r\\n\", \"c\\r\\n\", \"b\\r\\n\", \"a\\r\\n\", \"e\\r\\n\", \"b\\r\\n\", \"b\\r\\n\", \"aa\\r\\n\", \"aa\\r\\n\", \"aa\\r\\n\", \"aa\\r\\n\", \"bb\\r\\n\", \"bb\\r\\n\", \"ba\\r\\n\", \"ca\\r\\n\", \"ab\\r\\n\", \"cb\\r\\n\", \"bb\\r\\n\", \"aa\\r\\n\", \"da\\r\\n\", \"ab\\r\\n\", \"cd\\r\\n\", \"aaa\\r\\n\", \"aaa\\r\\n\", \"aaa\\r\\n\", \"aab\\r\\n\", \"aaa\\r\\n\", \"baa\\r\\n\", \"bab\\r\\n\", \"baa\\r\\n\", \"ccc\\r\\n\", \"ddd\\r\\n\", \"ccd\\r\\n\", \"bca\\r\\n\", \"cde\\r\\n\", \"ece\\r\\n\", \"bdd\\r\\n\", \"aaaa\\r\\n\", \"aaaa\\r\\n\", \"aaaa\\r\\n\", \"abaa\\r\\n\", \"abab\\r\\n\", \"bbbb\\r\\n\", \"bbba\\r\\n\", \"caba\\r\\n\", \"ccbb\\r\\n\", \"abac\\r\\n\", \"daba\\r\\n\", \"cdbb\\r\\n\", \"bddd\\r\\n\", \"dacb\\r\\n\", \"abcc\\r\\n\", \"aaaaa\\r\\n\", \"aaaaa\\r\\n\", \"aaaaa\\r\\n\", \"baaab\\r\\n\", \"aabbb\\r\\n\", \"aabaa\\r\\n\", \"abcba\\r\\n\", \"bacbc\\r\\n\", \"bacba\\r\\n\", \"bdbda\\r\\n\", \"accbb\\r\\n\", \"dbccc\\r\\n\", \"decca\\r\\n\", \"dbbdd\\r\\n\", \"accec\\r\\n\", \"aaaaaa\\r\\n\", \"aaaaaa\\r\\n\", \"aaaaaa\\r\\n\", \"bbbbab\\r\\n\", \"bbbbab\\r\\n\", \"aaaaba\\r\\n\", \"cbbbcc\\r\\n\", \"aaacac\\r\\n\", \"bacbbc\\r\\n\", \"cacacc\\r\\n\", \"badbdc\\r\\n\", \"ddadad\\r\\n\", \"ccdece\\r\\n\", \"eecade\\r\\n\", \"eabdcb\\r\\n\", \"aaaaaaa\\r\\n\", \"aaaaaaa\\r\\n\", \"aaaaaaa\\r\\n\", \"aaabbaa\\r\\n\", \"baaabab\\r\\n\", \"bbababa\\r\\n\", \"bcccacc\\r\\n\", \"cbbcccc\\r\\n\", \"abacaaa\\r\\n\", \"ccdbdac\\r\\n\", \"bbacaba\\r\\n\", \"abbaccc\\r\\n\", \"bdcbcab\\r\\n\", \"dabcbce\\r\\n\", \"abaaabe\\r\\n\", \"aaaaaaaa\\r\\n\", \"aaaaaaaa\\r\\n\", \"aaaaaaaa\\r\\n\", \"ababbbba\\r\\n\", \"aaaaaaba\\r\\n\", \"babbbaab\\r\\n\", \"bcaccaab\\r\\n\", \"bbccaabc\\r\\n\", \"cacaaaac\\r\\n\", \"daacbddc\\r\\n\", \"cdbdcdaa\\r\\n\", \"bccbdacd\\r\\n\", \"abbeaade\\r\\n\", \"ccabecba\\r\\n\", \"ececaead\\r\\n\", \"aaaaaaaaa\\r\\n\", \"aaaaaaaaa\\r\\n\", \"aaaaaaaaa\\r\\n\", \"aabaaabbb\\r\\n\", \"abbbbbaab\\r\\n\", \"bbbaababb\\r\\n\", \"babcaaccb\\r\\n\", \"ccbcabaac\\r\\n\", \"caaaccccb\\r\\n\", \"abbcdbddb\\r\\n\", \"dbcaacbbb\\r\\n\", \"cadcbddac\\r\\n\", \"ecebadadb\\r\\n\", \"bdbeeccdd\\r\\n\", \"daaedecda\\r\\n\", \"aaaaaaaaaa\\r\\n\", \"aaaaaaaaaa\\r\\n\", \"aaaaaaaaaa\\r\\n\", \"abaaaaabbb\\r\\n\", \"bbaaaabaaa\\r\\n\", \"bbabbaaaaa\\r\\n\", \"cbaabcaacc\\r\\n\", \"aaaaccccab\\r\\n\", \"bccaccaacc\\r\\n\", \"dbdccdcacd\\r\\n\", \"caaddaaccb\\r\\n\", \"adbbabcbdc\\r\\n\", \"cdeabdbbad\\r\\n\", \"eeddcbeeec\\r\\n\", \"bbcebddeba\\r\\n\"], \"outputs\": [\"abc\\r\\n\", \"abdc\\r\\n\", \"a\\r\\n\", \"ab\\r\\n\", \"ab\\r\\n\", \"deeji\\r\\n\", \"bcmrh\\r\\n\", \"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\\r\\n\", \"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb\\r\\n\", \"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbbcbcbbbbcccccbbbccbcbccccccbbbcbbccbcbbbbcbbccbccbccbcccbbccb\\r\\n\", \"aaaaaaaaaaaaagjjbffhfhdebfdhbhdcehggjhjdbecebhidffgfdggjcgddbjhecheceeidhceieghdihigiieibhdcbbfjhjee\\r\\n\", \"bbbbcggjknqrrwttsmwqnxfrnxixysepvrxpuemyuogrmfptyzxyomqdljwlvtzhuhqrzyvlowdkmfvwnwfohryulmpezkynfdrn\\r\\n\", \"aaaecbe\\r\\n\", \"abccdcddde\\r\\n\", \"a\\r\\n\", \"a\\r\\n\", \"a\\r\\n\", \"b\\r\\n\", \"b\\r\\n\", \"a\\r\\n\", \"c\\r\\n\", \"a\\r\\n\", \"b\\r\\n\", \"c\\r\\n\", \"b\\r\\n\", \"a\\r\\n\", \"e\\r\\n\", \"b\\r\\n\", \"b\\r\\n\", \"aa\\r\\n\", \"aa\\r\\n\", \"aa\\r\\n\", \"aa\\r\\n\", \"bb\\r\\n\", \"bb\\r\\n\", \"ab\\r\\n\", \"ac\\r\\n\", \"ab\\r\\n\", \"bc\\r\\n\", \"bb\\r\\n\", \"aa\\r\\n\", \"ad\\r\\n\", \"ab\\r\\n\", \"cd\\r\\n\", \"aaa\\r\\n\", \"aaa\\r\\n\", \"aaa\\r\\n\", \"aab\\r\\n\", \"aaa\\r\\n\", \"aab\\r\\n\", \"abb\\r\\n\", \"aab\\r\\n\", \"ccc\\r\\n\", \"ddd\\r\\n\", \"ccd\\r\\n\", \"acb\\r\\n\", \"cde\\r\\n\", \"cee\\r\\n\", \"bdd\\r\\n\", \"aaaa\\r\\n\", \"aaaa\\r\\n\", \"aaaa\\r\\n\", \"aaab\\r\\n\", \"aabb\\r\\n\", \"bbbb\\r\\n\", \"abbb\\r\\n\", \"aabc\\r\\n\", \"bbcc\\r\\n\", \"aabc\\r\\n\", \"aabd\\r\\n\", \"bbdc\\r\\n\", \"bddd\\r\\n\", \"abcd\\r\\n\", \"abcc\\r\\n\", \"aaaaa\\r\\n\", \"aaaaa\\r\\n\", \"aaaaa\\r\\n\", \"aaabb\\r\\n\", \"aabbb\\r\\n\", \"aaaab\\r\\n\", \"aabcb\\r\\n\", \"abbcc\\r\\n\", \"aabcb\\r\\n\", \"adbdb\\r\\n\", \"abbcc\\r\\n\", \"bcccd\\r\\n\", \"acced\\r\\n\", \"bbddd\\r\\n\", \"accce\\r\\n\", \"aaaaaa\\r\\n\", \"aaaaaa\\r\\n\", \"aaaaaa\\r\\n\", \"abbbbb\\r\\n\", \"abbbbb\\r\\n\", \"aaaaab\\r\\n\", \"bbbccc\\r\\n\", \"aaaacc\\r\\n\", \"abbbcc\\r\\n\", \"aacccc\\r\\n\", \"abbcdd\\r\\n\", \"aadddd\\r\\n\", \"cccede\\r\\n\", \"acdeee\\r\\n\", \"abbcde\\r\\n\", \"aaaaaaa\\r\\n\", \"aaaaaaa\\r\\n\", \"aaaaaaa\\r\\n\", \"aaaaabb\\r\\n\", \"aaaabbb\\r\\n\", \"aaabbbb\\r\\n\", \"acccbcc\\r\\n\", \"bbccccc\\r\\n\", \"aaaaacb\\r\\n\", \"acdbdcc\\r\\n\", \"aaabcbb\\r\\n\", \"aabbccc\\r\\n\", \"abcbcdb\\r\\n\", \"abbccde\\r\\n\", \"aaaabbe\\r\\n\", \"aaaaaaaa\\r\\n\", \"aaaaaaaa\\r\\n\", \"aaaaaaaa\\r\\n\", \"aaabbbbb\\r\\n\", \"aaaaaaab\\r\\n\", \"aaabbbbb\\r\\n\", \"aaabcccb\\r\\n\", \"aabccbbc\\r\\n\", \"aaaaaccc\\r\\n\", \"aabccddd\\r\\n\", \"aadcdbdc\\r\\n\", \"acdbccbd\\r\\n\", \"aaadebbe\\r\\n\", \"aabcebcc\\r\\n\", \"aadecece\\r\\n\", \"aaaaaaaaa\\r\\n\", \"aaaaaaaaa\\r\\n\", \"aaaaaaaaa\\r\\n\", \"aaaaabbbb\\r\\n\", \"aaabbbbbb\\r\\n\", \"aaabbbbbb\\r\\n\", \"aaabcccbb\\r\\n\", \"aaabcbccc\\r\\n\", \"aaabccccc\\r\\n\", \"abbbbdddc\\r\\n\", \"aabbbccbd\\r\\n\", \"aacddbcdc\\r\\n\", \"aabddbece\\r\\n\", \"bbccddeed\\r\\n\", \"aaadceded\\r\\n\", \"aaaaaaaaaa\\r\\n\", \"aaaaaaaaaa\\r\\n\", \"aaaaaaaaaa\\r\\n\", \"aaaaaabbbb\\r\\n\", \"aaaaaaabbb\\r\\n\", \"aaaaaabbbb\\r\\n\", \"aaaacbbccc\\r\\n\", \"aaaaabcccc\\r\\n\", \"aaaccccbcc\\r\\n\", \"accdccdbdd\\r\\n\", \"aaaabccddc\\r\\n\", \"aabbbbccdd\\r\\n\", \"aabbdbdedc\\r\\n\", \"bcceeeddee\\r\\n\", \"abeddbecbb\\r\\n\"]}",
"style": "rule"
}
|
zpo_codearc
|
{"itemid": 12}
|
[
{
"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nLet's call a string \"s-palindrome\" if it is symmetric about the middle of the string. For example, the string \"oHo\" is \"s-palindrome\", but the string \"aa\" is not. The string \"aa\" is not \"s-palindrome\", because the second half of it is not a mirror reflection of the first half.\n\nEnglish alphabet\n\nYou are given a string s. Check if the string is \"s-palindrome\".\n\nThe input and output requirements are as follows:\n\nInput:\nThe only line contains the string s (1 ≤ |s| ≤ 1000) which consists of only English letters.\nOutput:\nPrint \"TAK\" if the string s is \"s-palindrome\" and \"NIE\" otherwise.\n\nHere are some example input and output pairs:\n\n[{\"input\": \"oXoxoXo\", \"output\": \"TAK\"}, {\"input\": \"bod\", \"output\": \"TAK\"}, {\"input\": \"ER\", \"output\": \"NIE\"}, {\"input\": \"AAA\\r\\n\", \"output\": \"TAK\\r\\n\"}, {\"input\": \"UA\\r\\n\", \"output\": \"NIE\\r\\n\"}, {\"input\": \"lll\\r\\n\", \"output\": \"NIE\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
"role": "user"
}
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{
"ground_truth": "{\"inputs\": [\"oXoxoXo\\r\\n\", \"bod\\r\\n\", \"ER\\r\\n\", \"o\\r\\n\", \"a\\r\\n\", \"opo\\r\\n\", \"HCMoxkgbNb\\r\\n\", \"vMhhXCMWDe\\r\\n\", \"iIcamjTRFH\\r\\n\", \"WvoWvvWovW\\r\\n\", \"WXxAdbAxXW\\r\\n\", \"vqMTUUTMpv\\r\\n\", \"iii\\r\\n\", \"AAWW\\r\\n\", \"ss\\r\\n\", \"i\\r\\n\", \"ii\\r\\n\", \"mm\\r\\n\", \"LJ\\r\\n\", \"m\\r\\n\", \"ioi\\r\\n\", \"OA\\r\\n\", \"aaaiaaa\\r\\n\", \"SS\\r\\n\", \"iiii\\r\\n\", \"ssops\\r\\n\", \"ssss\\r\\n\", \"ll\\r\\n\", \"s\\r\\n\", \"bb\\r\\n\", \"uu\\r\\n\", \"ZoZ\\r\\n\", \"mom\\r\\n\", \"uou\\r\\n\", \"u\\r\\n\", \"JL\\r\\n\", \"mOm\\r\\n\", \"llll\\r\\n\", \"ouo\\r\\n\", \"aa\\r\\n\", \"olo\\r\\n\", \"S\\r\\n\", \"lAl\\r\\n\", \"nnnn\\r\\n\", \"ZzZ\\r\\n\", \"bNd\\r\\n\", \"ZZ\\r\\n\", \"oNoNo\\r\\n\", \"l\\r\\n\", \"zz\\r\\n\", \"NON\\r\\n\", \"nn\\r\\n\", \"NoN\\r\\n\", \"sos\\r\\n\", \"lol\\r\\n\", \"mmm\\r\\n\", \"YAiAY\\r\\n\", \"ipIqi\\r\\n\", \"AAA\\r\\n\", \"uoOou\\r\\n\", \"SOS\\r\\n\", \"NN\\r\\n\", \"n\\r\\n\", \"h\\r\\n\", \"blld\\r\\n\", \"ipOqi\\r\\n\", \"pop\\r\\n\", \"BB\\r\\n\", \"OuO\\r\\n\", \"lxl\\r\\n\", \"Z\\r\\n\", \"vvivv\\r\\n\", \"nnnnnnnnnnnnn\\r\\n\", \"AA\\r\\n\", \"t\\r\\n\", \"z\\r\\n\", \"mmmAmmm\\r\\n\", \"qlililp\\r\\n\", \"mpOqm\\r\\n\", \"iiiiiiiiii\\r\\n\", \"BAAAB\\r\\n\", \"UA\\r\\n\", \"mmmmmmm\\r\\n\", \"NpOqN\\r\\n\", \"uOu\\r\\n\", \"uuu\\r\\n\", \"NAMAN\\r\\n\", \"lllll\\r\\n\", \"T\\r\\n\", \"mmmmmmmmmmmmmmmm\\r\\n\", \"AiiA\\r\\n\", \"iOi\\r\\n\", \"lll\\r\\n\", \"N\\r\\n\", \"viv\\r\\n\", \"oiio\\r\\n\", \"AiiiA\\r\\n\", \"NNNN\\r\\n\", \"ixi\\r\\n\", \"AuuA\\r\\n\", \"AAAANANAAAA\\r\\n\", \"mmmmm\\r\\n\", \"oYo\\r\\n\", \"dd\\r\\n\", \"A\\r\\n\", \"ioh\\r\\n\", \"mmmm\\r\\n\", \"uuuu\\r\\n\", \"puq\\r\\n\", \"rrrrrr\\r\\n\", \"c\\r\\n\", \"AbpA\\r\\n\", \"qAq\\r\\n\", \"tt\\r\\n\", \"mnmnm\\r\\n\", \"sss\\r\\n\", \"yy\\r\\n\", \"bob\\r\\n\", \"NAN\\r\\n\", \"mAm\\r\\n\", \"tAt\\r\\n\", \"yAy\\r\\n\", \"zAz\\r\\n\", \"aZ\\r\\n\", \"hh\\r\\n\", \"bbbb\\r\\n\", \"ZAZ\\r\\n\", \"Y\\r\\n\", \"AAMM\\r\\n\", \"lml\\r\\n\", \"AZA\\r\\n\", \"mXm\\r\\n\", \"bd\\r\\n\", \"H\\r\\n\", \"uvu\\r\\n\", \"dxxd\\r\\n\", \"dp\\r\\n\", \"vV\\r\\n\", \"vMo\\r\\n\", \"O\\r\\n\", \"vYv\\r\\n\", \"fv\\r\\n\", \"U\\r\\n\", \"iAi\\r\\n\", \"I\\r\\n\", \"VxrV\\r\\n\", \"POP\\r\\n\", \"bid\\r\\n\", \"bmd\\r\\n\", \"AiA\\r\\n\", \"mmmmmm\\r\\n\", \"XHX\\r\\n\", \"llllll\\r\\n\", \"aAa\\r\\n\", \"Db\\r\\n\", \"lOl\\r\\n\", \"bzd\\r\\n\"], \"outputs\": [\"TAK\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"TAK\\r\\n\", \"TAK\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"TAK\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"TAK\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"TAK\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\", \"NIE\\r\\n\"]}",
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zpo_codearc
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{"itemid": 13}
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[
{
"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nThe All-Berland National Olympiad in Informatics has just ended! Now Vladimir wants to upload the contest from the Olympiad as a gym to a popular Codehorses website.\n\nUnfortunately, the archive with Olympiad's data is a mess. For example, the files with tests are named arbitrary without any logic.\n\nVladimir wants to rename the files with tests so that their names are distinct integers starting from 1 without any gaps, namely, \"1\", \"2\", ..., \"n', where n is the total number of tests.\n\nSome of the files contain tests from statements (examples), while others contain regular tests. It is possible that there are no examples, and it is possible that all tests are examples. Vladimir wants to rename the files so that the examples are the first several tests, all all the next files contain regular tests only.\n\nThe only operation Vladimir can perform is the \"move\" command. Vladimir wants to write a script file, each of the lines in which is \"move file_1 file_2\", that means that the file \"file_1\" is to be renamed to \"file_2\". If there is a file \"file_2\" at the moment of this line being run, then this file is to be rewritten. After the line \"move file_1 file_2\" the file \"file_1\" doesn't exist, but there is a file \"file_2\" with content equal to the content of \"file_1\" before the \"move\" command.\n\nHelp Vladimir to write the script file with the minimum possible number of lines so that after this script is run:\n\n- all examples are the first several tests having filenames \"1\", \"2\", ..., \"e\", where e is the total number of examples;\n- all other files contain regular tests with filenames \"e + 1\", \"e + 2\", ..., \"n\", where n is the total number of all tests.\n\nThe input and output requirements are as follows:\n\nInput:\nThe first line contains single integer n (1 ≤ n ≤ 105) — the number of files with tests.\n\nn lines follow, each describing a file with test. Each line has a form of \"name_i type_i\", where \"name_i\" is the filename, and \"type_i\" equals \"1\", if the i-th file contains an example test, and \"0\" if it contains a regular test. Filenames of each file are strings of digits and small English letters with length from 1 to 6 characters. The filenames are guaranteed to be distinct.\nOutput:\nIn the first line print the minimum number of lines in Vladimir's script file.\n\nAfter that print the script file, each line should be \"move file_1 file_2\", where \"file_1\" is an existing at the moment of this line being run filename, and \"file_2\" — is a string of digits and small English letters with length from 1 to 6.\n\nHere are some example input and output pairs:\n\n[{\"input\": \"5\\n01 0\\n2 1\\n2extra 0\\n3 1\\n99 0\", \"output\": \"4\\nmove 3 1\\nmove 01 5\\nmove 2extra 4\\nmove 99 3\"}, {\"input\": \"2\\n1 0\\n2 1\", \"output\": \"3\\nmove 1 3\\nmove 2 1\\nmove 3 2\"}, {\"input\": \"5\\n1 0\\n11 1\\n111 0\\n1111 1\\n11111 0\", \"output\": \"5\\nmove 1 5\\nmove 11 1\\nmove 1111 2\\nmove 111 4\\nmove 11111 3\"}, {\"input\": \"2\\r\\n1 1\\r\\n2 1\\r\\n\", \"output\": \"0\\r\\n\"}, {\"input\": \"3\\r\\n2 1\\r\\n1 0\\r\\n3 0\\r\\n\", \"output\": \"3\\r\\nmove 2 1ntx05\\r\\nmove 1 2\\r\\nmove 1ntx05 1\\r\\n\"}, {\"input\": \"6\\r\\n3 1\\r\\n1h3t85 1\\r\\n5 0\\r\\nrf2ikt 0\\r\\n3vhl6e 1\\r\\n5l3oka 0\\r\\n\", \"output\": \"4\\r\\nmove 1h3t85 1\\r\\nmove 3vhl6e 2\\r\\nmove rf2ikt 6\\r\\nmove 5l3oka 4\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
"role": "user"
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1\\r\\n\", \"2\\r\\n1 0\\r\\nxdkh5a 1\\r\\n\", \"2\\r\\n1 0\\r\\n2 0\\r\\n\", \"3\\r\\nz1nwrd 1\\r\\nt0xrja 0\\r\\n106qy1 0\\r\\n\", \"3\\r\\nt4hdos 0\\r\\ndhje0g 0\\r\\n3 0\\r\\n\", \"3\\r\\n3 0\\r\\n26mp5s 0\\r\\n1 1\\r\\n\", \"3\\r\\n2 1\\r\\n1 0\\r\\n3 0\\r\\n\", \"1\\r\\nprzvln 0\\r\\n\", \"2\\r\\nkfsipl 0\\r\\n1jj1ol 0\\r\\n\", \"3\\r\\n2x7a4g 0\\r\\n27lqe6 0\\r\\nzfo3sp 0\\r\\n\", \"1\\r\\nxzp9ni 1\\r\\n\", \"1\\r\\nabbdf7 1\\r\\n\", \"2\\r\\ndbif39 1\\r\\ne8dkf8 0\\r\\n\", \"2\\r\\n2 0\\r\\njkwekx 1\\r\\n\", \"3\\r\\nn3pmj8 0\\r\\n2alui6 0\\r\\ne7lf4u 1\\r\\n\", \"3\\r\\ndr1lp8 0\\r\\n1 0\\r\\n6a2egk 1\\r\\n\", \"4\\r\\nyi9ta0 1\\r\\nmeljgm 0\\r\\nf7bqon 0\\r\\n5bbvun 0\\r\\n\", \"4\\r\\n0la3gu 0\\r\\nzhrmyb 1\\r\\n3iprc0 0\\r\\n3 0\\r\\n\", \"1\\r\\n1 1\\r\\n\", \"1\\r\\n1 1\\r\\n\", \"2\\r\\n17dgbb 0\\r\\n2 1\\r\\n\", \"2\\r\\n1 0\\r\\n2 1\\r\\n\", \"3\\r\\nscrn8k 0\\r\\n3 1\\r\\nycvm9s 0\\r\\n\", \"3\\r\\nt0dfz3 0\\r\\n3 0\\r\\n1 1\\r\\n\", \"4\\r\\nkgw83p 0\\r\\np3p3ch 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0\\r\\n\", \"6\\r\\n5 0\\r\\n2 0\\r\\ncbhvyf 1\\r\\nl1z5mg 0\\r\\nwkwhby 1\\r\\nx7fdh9 1\\r\\n\", \"6\\r\\n1t68ks 1\\r\\npkbj1g 1\\r\\n5 0\\r\\n5pw8wm 1\\r\\n1 0\\r\\n4 0\\r\\n\", \"3\\r\\n1 1\\r\\n7ph5fw 1\\r\\ntfxz1j 1\\r\\n\", \"3\\r\\norwsz0 1\\r\\nmbt097 1\\r\\n3 1\\r\\n\", \"3\\r\\n1 1\\r\\nzwfnx2 1\\r\\n7g8t6z 1\\r\\n\", \"3\\r\\nqmf7iz 1\\r\\ndjwdce 1\\r\\n1 1\\r\\n\", \"4\\r\\n4i2i2a 0\\r\\n4 1\\r\\npf618n 1\\r\\nlx6nmh 1\\r\\n\", \"4\\r\\nxpteku 1\\r\\n1 0\\r\\n4 1\\r\\n73xpqz 1\\r\\n\", \"4\\r\\n1wp56i 1\\r\\n2 1\\r\\n1 0\\r\\n6m76jb 1\\r\\n\", \"4\\r\\n3 1\\r\\nyumiqt 1\\r\\n1 0\\r\\nt19jus 1\\r\\n\", \"5\\r\\nynagvf 1\\r\\n3 1\\r\\nojz4mm 1\\r\\ndovec3 0\\r\\nnc1jye 0\\r\\n\", \"5\\r\\n5 1\\r\\nwje9ts 1\\r\\nkytn5q 1\\r\\n7frk8z 0\\r\\n3 0\\r\\n\", \"5\\r\\n1 0\\r\\n4 1\\r\\n3 0\\r\\nlog9cm 1\\r\\nu5m0ls 1\\r\\n\", \"5\\r\\nh015vv 1\\r\\n3 1\\r\\n1 0\\r\\n9w2keb 1\\r\\n2 0\\r\\n\", \"6\\r\\n0zluka 0\\r\\nqp7q8l 1\\r\\nwglqu8 1\\r\\n9i7kta 0\\r\\nnwf8m3 0\\r\\n3 1\\r\\n\", \"6\\r\\n3 1\\r\\n1h3t85 1\\r\\n5 0\\r\\nrf2ikt 0\\r\\n3vhl6e 1\\r\\n5l3oka 0\\r\\n\", \"6\\r\\n2 0\\r\\n3 0\\r\\nw9h0pv 1\\r\\n5 1\\r\\nq92z4i 0\\r\\n6qb4ia 1\\r\\n\", \"6\\r\\n4 1\\r\\n410jiy 1\\r\\n1 0\\r\\n6 0\\r\\nxc98l2 1\\r\\n5 0\\r\\n\", \"3\\r\\n1 1\\r\\nc9qyld 1\\r\\n3 1\\r\\n\", \"3\\r\\ngdm5ri 1\\r\\n1 1\\r\\n2 1\\r\\n\", \"3\\r\\n3 1\\r\\n2 1\\r\\ni19lnk 1\\r\\n\", \"3\\r\\ncxbbpd 1\\r\\n3 1\\r\\n1 1\\r\\n\", \"4\\r\\nwy6i6o 0\\r\\n1 1\\r\\n3 1\\r\\niy1dq6 1\\r\\n\", \"4\\r\\n4 1\\r\\nwgh8s0 1\\r\\n1 0\\r\\n2 1\\r\\n\", \"4\\r\\nhex0ur 1\\r\\n4 1\\r\\n3 0\\r\\n2 1\\r\\n\", \"4\\r\\n4 1\\r\\n1 1\\r\\n3 0\\r\\n4soxj3 1\\r\\n\", \"5\\r\\n5sbtul 1\\r\\n2 1\\r\\n8i2duz 0\\r\\n5 1\\r\\n4b85z6 0\\r\\n\", \"5\\r\\n3 1\\r\\n4 0\\r\\nejo0a4 1\\r\\ngqzdbk 0\\r\\n1 1\\r\\n\", \"5\\r\\n2y4agr 1\\r\\n5 0\\r\\n3 0\\r\\n1 1\\r\\n4 1\\r\\n\", \"5\\r\\n2 0\\r\\n1 1\\r\\nq4hyeg 1\\r\\n5 0\\r\\n4 1\\r\\n\", \"6\\r\\n5 1\\r\\nrdm6fu 0\\r\\n4 1\\r\\noclx1h 0\\r\\n7l3kg1 1\\r\\nq25te0 0\\r\\n\", \"6\\r\\n1 0\\r\\np4tuyt 0\\r\\n5 1\\r\\n2 1\\r\\nwrrcmu 1\\r\\n3r4wqz 0\\r\\n\", \"6\\r\\n5 1\\r\\n6 0\\r\\nxhfzge 0\\r\\n3 1\\r\\n1 0\\r\\n1n9mqv 1\\r\\n\", \"6\\r\\nhmpfsz 1\\r\\n6 0\\r\\n5 1\\r\\n4 0\\r\\n1 0\\r\\n3 1\\r\\n\", \"3\\r\\n1 1\\r\\n3 1\\r\\n2 1\\r\\n\", \"3\\r\\n2 1\\r\\n3 1\\r\\n1 1\\r\\n\", \"3\\r\\n2 1\\r\\n1 1\\r\\n3 1\\r\\n\", \"3\\r\\n1 1\\r\\n2 1\\r\\n3 1\\r\\n\", \"4\\r\\n3 1\\r\\n1 1\\r\\n4 1\\r\\nd1cks2 0\\r\\n\", \"4\\r\\n4 0\\r\\n3 1\\r\\n1 1\\r\\n2 1\\r\\n\", \"4\\r\\n2 1\\r\\n4 1\\r\\n1 0\\r\\n3 1\\r\\n\", \"4\\r\\n4 1\\r\\n1 1\\r\\n3 1\\r\\n2 0\\r\\n\", \"5\\r\\n4 1\\r\\nhvshea 0\\r\\naio11n 0\\r\\n2 1\\r\\n3 1\\r\\n\", \"5\\r\\n5 0\\r\\nts7a1c 0\\r\\n4 1\\r\\n1 1\\r\\n2 1\\r\\n\", \"5\\r\\n4 0\\r\\n3 1\\r\\n5 0\\r\\n2 1\\r\\n1 1\\r\\n\", \"5\\r\\n3 1\\r\\n5 0\\r\\n4 1\\r\\n1 1\\r\\n2 0\\r\\n\", \"6\\r\\neik3kw 0\\r\\n5 1\\r\\nzoonoj 0\\r\\n2 1\\r\\n1 1\\r\\nivzfie 0\\r\\n\", \"6\\r\\n7igwk9 0\\r\\n6 1\\r\\n5 1\\r\\ndx2yu0 0\\r\\n2 0\\r\\n1 1\\r\\n\", \"6\\r\\nc3py3h 0\\r\\n2 1\\r\\n4 0\\r\\n3 0\\r\\n1 1\\r\\n5 1\\r\\n\", \"6\\r\\n1 1\\r\\n3 0\\r\\n2 1\\r\\n6 1\\r\\n4 0\\r\\n5 0\\r\\n\", \"20\\r\\nphp8vy 1\\r\\nkeeona 0\\r\\n8 0\\r\\nwzf4eb 0\\r\\n16 1\\r\\n9 0\\r\\nf2548d 0\\r\\n11 0\\r\\nyszsig 0\\r\\nyyf4q2 0\\r\\n1pon1p 1\\r\\njvpwuo 0\\r\\nd9stsx 0\\r\\ne14bkx 1\\r\\n5 0\\r\\n17 0\\r\\nsbklx4 0\\r\\nsfms2u 1\\r\\n6 0\\r\\n18 1\\r\\n\", \"4\\r\\n3 1\\r\\n4 1\\r\\n1 0\\r\\n2 0\\r\\n\", \"1\\r\\n01 1\\r\\n\", \"2\\r\\n01 0\\r\\n02 1\\r\\n\"], \"outputs\": [\"4\\r\\nmove 3 1\\r\\nmove 01 5\\r\\nmove 2extra 4\\r\\nmove 99 3\\r\\n\", \"3\\r\\nmove 1 dytuig\\r\\nmove 2 1\\r\\nmove dytuig 2\\r\\n\", \"5\\r\\nmove 1 5\\r\\nmove 11 1\\r\\nmove 1111 2\\r\\nmove 111 4\\r\\nmove 11111 3\\r\\n\", \"4\\r\\nmove ir7oz8 1\\r\\nmove vj4v5t 2\\r\\nmove kwkahb 3\\r\\nmove j5s8o1 4\\r\\n\", \"4\\r\\nmove 3 1\\r\\nmove v04v6j 2\\r\\nmove 1o0bp2 4\\r\\nmove 9tn379 3\\r\\n\", \"3\\r\\nmove 1 4\\r\\nmove fr4033 1\\r\\nmove sc7czx 2\\r\\n\", \"2\\r\\nmove 1 3\\r\\nmove izfotg 1\\r\\n\", \"3\\r\\nmove 2 0b9r8j\\r\\nmove 4 2\\r\\nmove 0b9r8j 4\\r\\n\", \"5\\r\\nmove puusew 1\\r\\nmove pvoy4h 5\\r\\nmove wdzx4r 4\\r\\nmove 1z84cx 3\\r\\nmove ozsuvd 2\\r\\n\", \"5\\r\\nmove 5 1\\r\\nmove 949pnr 2\\r\\nmove x8srx3 3\\r\\nmove cl7ppd 4\\r\\nmove 9sxhcr 5\\r\\n\", \"5\\r\\nmove 2 5\\r\\nmove 1 4\\r\\nmove p2gcxf 1\\r\\nmove wfyoiq 2\\r\\nmove zjw3vg 3\\r\\n\", \"3\\r\\nmove 4 2\\r\\nmove ogvgi7 5\\r\\nmove m5nhux 4\\r\\n\", \"1\\r\\nmove t6kdte 1\\r\\n\", \"3\\r\\nmove 2 p6w7mu\\r\\nmove 5 2\\r\\nmove p6w7mu 5\\r\\n\", \"1\\r\\nmove sd84r7 1\\r\\n\", \"0\\r\\n\", \"2\\r\\nmove joa6mr 1\\r\\nmove 5xzjm4 2\\r\\n\", \"2\\r\\nmove 1 2\\r\\nmove xdkh5a 1\\r\\n\", \"0\\r\\n\", \"3\\r\\nmove z1nwrd 1\\r\\nmove t0xrja 3\\r\\nmove 106qy1 2\\r\\n\", \"2\\r\\nmove t4hdos 2\\r\\nmove dhje0g 1\\r\\n\", \"1\\r\\nmove 26mp5s 2\\r\\n\", \"3\\r\\nmove 2 1ntx05\\r\\nmove 1 2\\r\\nmove 1ntx05 1\\r\\n\", \"1\\r\\nmove przvln 1\\r\\n\", \"2\\r\\nmove kfsipl 2\\r\\nmove 1jj1ol 1\\r\\n\", \"3\\r\\nmove 2x7a4g 3\\r\\nmove 27lqe6 2\\r\\nmove zfo3sp 1\\r\\n\", \"1\\r\\nmove xzp9ni 1\\r\\n\", \"1\\r\\nmove abbdf7 1\\r\\n\", \"2\\r\\nmove dbif39 1\\r\\nmove e8dkf8 2\\r\\n\", \"1\\r\\nmove jkwekx 1\\r\\n\", \"3\\r\\nmove e7lf4u 1\\r\\nmove n3pmj8 3\\r\\nmove 2alui6 2\\r\\n\", \"3\\r\\nmove 1 3\\r\\nmove 6a2egk 1\\r\\nmove dr1lp8 2\\r\\n\", \"4\\r\\nmove yi9ta0 1\\r\\nmove meljgm 4\\r\\nmove f7bqon 3\\r\\nmove 5bbvun 2\\r\\n\", \"3\\r\\nmove zhrmyb 1\\r\\nmove 0la3gu 4\\r\\nmove 3iprc0 2\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"2\\r\\nmove 2 1\\r\\nmove 17dgbb 2\\r\\n\", \"3\\r\\nmove 1 xrjgjv\\r\\nmove 2 1\\r\\nmove xrjgjv 2\\r\\n\", \"3\\r\\nmove 3 1\\r\\nmove scrn8k 3\\r\\nmove ycvm9s 2\\r\\n\", \"1\\r\\nmove t0dfz3 2\\r\\n\", \"4\\r\\nmove 4 1\\r\\nmove kgw83p 4\\r\\nmove p3p3ch 3\\r\\nmove 0te9lv 2\\r\\n\", \"4\\r\\nmove 1 4\\r\\nmove 3 1\\r\\nmove nj94jx 3\\r\\nmove 3a5ad1 2\\r\\n\", \"2\\r\\nmove o9z069 1\\r\\nmove 5hools 2\\r\\n\", \"2\\r\\nmove yzzyab 1\\r\\nmove 728oq0 2\\r\\n\", \"2\\r\\nmove qy2kmc 1\\r\\nmove qb4crj 2\\r\\n\", \"3\\r\\nmove unw560 1\\r\\nmove donjp9 2\\r\\nmove 0iswxk 3\\r\\n\", \"3\\r\\nmove 2 3\\r\\nmove uv8c54 1\\r\\nmove 508bb0 2\\r\\n\", \"2\\r\\nmove 9afh0z 1\\r\\nmove 0qcaht 2\\r\\n\", \"4\\r\\nmove kdktvk 1\\r\\nmove c4i5k8 2\\r\\nmove 2kk04q 4\\r\\nmove awaock 3\\r\\n\", \"4\\r\\nmove 2 4\\r\\nmove 6mhijg 1\\r\\nmove 6wum8y 2\\r\\nmove mqbjos 3\\r\\n\", \"3\\r\\nmove 2 3\\r\\nmove pa613p 1\\r\\nmove uuizq7 2\\r\\n\", \"5\\r\\nmove w0g96a 1\\r\\nmove weh22w 2\\r\\nmove v99tdi 5\\r\\nmove mywrle 4\\r\\nmove 9hywt4 3\\r\\n\", \"4\\r\\nmove 12qcjd 1\\r\\nmove l2u93o 2\\r\\nmove uthzbz 4\\r\\nmove b3670z 3\\r\\n\", \"5\\r\\nmove 2 5\\r\\nmove 1 4\\r\\nmove 0jc7xb 1\\r\\nmove 9xzkau 2\\r\\nmove 1m7l9s 3\\r\\n\", \"1\\r\\nmove vinxur 2\\r\\n\", \"1\\r\\nmove 1qe46n 2\\r\\n\", \"1\\r\\nmove g5jlzp 2\\r\\n\", \"2\\r\\nmove c8p28p 1\\r\\nmove vk4gdf 3\\r\\n\", \"1\\r\\nmove hs9j9t 1\\r\\n\", \"2\\r\\nmove 1 3\\r\\nmove omitxh 1\\r\\n\", \"4\\r\\nmove 4 1\\r\\nmove u9do88 2\\r\\nmove 787at9 4\\r\\nmove fcud6k 3\\r\\n\", \"2\\r\\nmove qvw4ow 2\\r\\nmove ne0ng9 4\\r\\n\", \"2\\r\\nmove 2 4\\r\\nmove g6ugrm 2\\r\\n\", \"5\\r\\nmove 5 1\\r\\nmove e8rwo4 2\\r\\nmove z9zr7d 5\\r\\nmove rfpjp6 4\\r\\nmove gz6dhj 3\\r\\n\", \"5\\r\\nmove 4 1\\r\\nmove 2 5\\r\\nmove setddt 2\\r\\nmove 5sn77g 4\\r\\nmove bz16cb 3\\r\\n\", \"3\\r\\nmove 2 5\\r\\nmove x2miqh 2\\r\\nmove 1rq643 4\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"2\\r\\nmove 3 2\\r\\nmove av5vex 3\\r\\n\", \"3\\r\\nmove 3 fopgrb\\r\\nmove 1 3\\r\\nmove fopgrb 1\\r\\n\", \"3\\r\\nmove 3 wzgsm0\\r\\nmove 1 3\\r\\nmove wzgsm0 1\\r\\n\", \"3\\r\\nmove 3 1\\r\\nmove y9144q 4\\r\\nmove s0bdnf 3\\r\\n\", \"4\\r\\nmove 4 2\\r\\nmove 1 4\\r\\nmove 3 1\\r\\nmove mod9zl 3\\r\\n\", \"5\\r\\nmove 4 ow3q4a\\r\\nmove 1 4\\r\\nmove 3 1\\r\\nmove 2 3\\r\\nmove ow3q4a 2\\r\\n\", \"4\\r\\nmove 3 2\\r\\nmove noidnv 5\\r\\nmove x3xiiz 4\\r\\nmove 1lfa9v 3\\r\\n\", \"2\\r\\nmove vsyajx 5\\r\\nmove 783b38 3\\r\\n\", \"4\\r\\nmove 3 1\\r\\nmove 2 3\\r\\nmove 4 2\\r\\nmove cvfl8i 4\\r\\n\", \"3\\r\\nmove bxo0pe 1\\r\\nmove bt50pa 2\\r\\nmove 2tx68t 3\\r\\n\", \"3\\r\\nmove j9rnac 1\\r\\nmove oetwfz 2\\r\\nmove d6n3ww 3\\r\\n\", \"3\\r\\nmove af2f6j 1\\r\\nmove mjni5l 2\\r\\nmove jvyxgc 3\\r\\n\", \"3\\r\\nmove r2qlj2 1\\r\\nmove t8wf1y 2\\r\\nmove igids8 3\\r\\n\", \"4\\r\\nmove 4lxxh9 1\\r\\nmove kqdpzy 2\\r\\nmove n1d7hd 3\\r\\nmove uilh9a 4\\r\\n\", \"4\\r\\nmove 3 4\\r\\nmove iipymv 1\\r\\nmove vakd5b 2\\r\\nmove 2ktczv 3\\r\\n\", \"4\\r\\nmove 3 4\\r\\nmove q4b449 1\\r\\nmove cjg1x2 2\\r\\nmove e878er 3\\r\\n\", \"3\\r\\nmove 9f4aoa 1\\r\\nmove f4m1ec 2\\r\\nmove qyr2h6 3\\r\\n\", \"5\\r\\nmove 73s1nt 1\\r\\nmove 4n3qri 2\\r\\nmove byhzp8 3\\r\\nmove sbngv2 5\\r\\nmove adpjs4 4\\r\\n\", \"5\\r\\nmove 2 5\\r\\nmove 7ajg8o 1\\r\\nmove p7cqxy 2\\r\\nmove h93m07 3\\r\\nmove 3qrp34 4\\r\\n\", \"4\\r\\nmove 1 4\\r\\nmove y0wnwz 1\\r\\nmove 0totai 2\\r\\nmove ym8xwz 3\\r\\n\", \"3\\r\\nmove 5nvzu4 1\\r\\nmove vkpzzk 2\\r\\nmove zamzcz 3\\r\\n\", \"6\\r\\nmove p1wjw9 1\\r\\nmove u1ixfc 2\\r\\nmove j3lk2e 3\\r\\nmove ueksby 6\\r\\nmove 36iskv 5\\r\\nmove 9imqi1 4\\r\\n\", \"6\\r\\nmove 2 6\\r\\nmove 6slonw 1\\r\\nmove ptk9mc 2\\r\\nmove hiq2f7 3\\r\\nmove 57a4nq 5\\r\\nmove c0gtv3 4\\r\\n\", \"5\\r\\nmove 2 6\\r\\nmove cbhvyf 1\\r\\nmove wkwhby 2\\r\\nmove x7fdh9 3\\r\\nmove l1z5mg 4\\r\\n\", \"4\\r\\nmove 1 6\\r\\nmove 1t68ks 1\\r\\nmove pkbj1g 2\\r\\nmove 5pw8wm 3\\r\\n\", \"2\\r\\nmove 7ph5fw 2\\r\\nmove tfxz1j 3\\r\\n\", \"2\\r\\nmove orwsz0 1\\r\\nmove mbt097 2\\r\\n\", \"2\\r\\nmove zwfnx2 2\\r\\nmove 7g8t6z 3\\r\\n\", \"2\\r\\nmove qmf7iz 2\\r\\nmove djwdce 3\\r\\n\", \"4\\r\\nmove 4 1\\r\\nmove pf618n 2\\r\\nmove lx6nmh 3\\r\\nmove 4i2i2a 4\\r\\n\", \"4\\r\\nmove 4 2\\r\\nmove 1 4\\r\\nmove xpteku 1\\r\\nmove 73xpqz 3\\r\\n\", \"3\\r\\nmove 1 4\\r\\nmove 1wp56i 1\\r\\nmove 6m76jb 3\\r\\n\", \"3\\r\\nmove 1 4\\r\\nmove yumiqt 1\\r\\nmove t19jus 2\\r\\n\", \"4\\r\\nmove ynagvf 1\\r\\nmove ojz4mm 2\\r\\nmove dovec3 5\\r\\nmove nc1jye 4\\r\\n\", \"5\\r\\nmove 5 1\\r\\nmove 3 5\\r\\nmove wje9ts 2\\r\\nmove kytn5q 3\\r\\nmove 7frk8z 4\\r\\n\", \"5\\r\\nmove 4 2\\r\\nmove 1 5\\r\\nmove 3 4\\r\\nmove log9cm 1\\r\\nmove u5m0ls 3\\r\\n\", \"4\\r\\nmove 1 5\\r\\nmove 2 4\\r\\nmove h015vv 1\\r\\nmove 9w2keb 2\\r\\n\", \"5\\r\\nmove qp7q8l 1\\r\\nmove wglqu8 2\\r\\nmove 0zluka 6\\r\\nmove 9i7kta 5\\r\\nmove nwf8m3 4\\r\\n\", \"4\\r\\nmove 1h3t85 1\\r\\nmove 3vhl6e 2\\r\\nmove rf2ikt 6\\r\\nmove 5l3oka 4\\r\\n\", \"6\\r\\nmove 5 1\\r\\nmove 2 6\\r\\nmove 3 5\\r\\nmove w9h0pv 2\\r\\nmove 6qb4ia 3\\r\\nmove q92z4i 4\\r\\n\", \"4\\r\\nmove 4 2\\r\\nmove 1 4\\r\\nmove 410jiy 1\\r\\nmove xc98l2 3\\r\\n\", \"1\\r\\nmove c9qyld 2\\r\\n\", \"1\\r\\nmove gdm5ri 3\\r\\n\", \"1\\r\\nmove i19lnk 1\\r\\n\", \"1\\r\\nmove cxbbpd 2\\r\\n\", \"2\\r\\nmove iy1dq6 2\\r\\nmove wy6i6o 4\\r\\n\", \"3\\r\\nmove 4 3\\r\\nmove 1 4\\r\\nmove wgh8s0 1\\r\\n\", \"3\\r\\nmove 4 1\\r\\nmove 3 4\\r\\nmove hex0ur 3\\r\\n\", \"3\\r\\nmove 4 2\\r\\nmove 3 4\\r\\nmove 4soxj3 3\\r\\n\", \"4\\r\\nmove 5 1\\r\\nmove 5sbtul 3\\r\\nmove 8i2duz 5\\r\\nmove 4b85z6 4\\r\\n\", \"2\\r\\nmove ejo0a4 2\\r\\nmove gqzdbk 5\\r\\n\", \"3\\r\\nmove 4 2\\r\\nmove 3 4\\r\\nmove 2y4agr 3\\r\\n\", \"3\\r\\nmove 4 3\\r\\nmove 2 4\\r\\nmove q4hyeg 2\\r\\n\", \"6\\r\\nmove 5 1\\r\\nmove 4 2\\r\\nmove 7l3kg1 3\\r\\nmove rdm6fu 6\\r\\nmove oclx1h 5\\r\\nmove q25te0 4\\r\\n\", \"5\\r\\nmove 5 3\\r\\nmove 1 6\\r\\nmove wrrcmu 1\\r\\nmove p4tuyt 5\\r\\nmove 3r4wqz 4\\r\\n\", \"4\\r\\nmove 5 2\\r\\nmove 1 5\\r\\nmove 1n9mqv 1\\r\\nmove xhfzge 4\\r\\n\", \"3\\r\\nmove 5 2\\r\\nmove 1 5\\r\\nmove hmpfsz 1\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"2\\r\\nmove 4 2\\r\\nmove d1cks2 4\\r\\n\", \"0\\r\\n\", \"3\\r\\nmove 4 e15gvb\\r\\nmove 1 4\\r\\nmove e15gvb 1\\r\\n\", \"3\\r\\nmove 4 7l41cc\\r\\nmove 2 4\\r\\nmove 7l41cc 2\\r\\n\", \"3\\r\\nmove 4 1\\r\\nmove hvshea 5\\r\\nmove aio11n 4\\r\\n\", \"2\\r\\nmove 4 3\\r\\nmove ts7a1c 4\\r\\n\", \"0\\r\\n\", \"3\\r\\nmove 4 kmnhgt\\r\\nmove 2 4\\r\\nmove kmnhgt 2\\r\\n\", \"4\\r\\nmove 5 3\\r\\nmove eik3kw 6\\r\\nmove zoonoj 5\\r\\nmove ivzfie 4\\r\\n\", \"5\\r\\nmove 6 3\\r\\nmove 2 6\\r\\nmove 5 2\\r\\nmove 7igwk9 5\\r\\nmove dx2yu0 4\\r\\n\", \"3\\r\\nmove 3 6\\r\\nmove 5 3\\r\\nmove c3py3h 5\\r\\n\", \"3\\r\\nmove 3 4r6zp7\\r\\nmove 6 3\\r\\nmove 4r6zp7 6\\r\\n\", \"16\\r\\nmove 16 1\\r\\nmove 18 2\\r\\nmove 5 20\\r\\nmove 6 19\\r\\nmove php8vy 3\\r\\nmove 1pon1p 4\\r\\nmove e14bkx 5\\r\\nmove sfms2u 6\\r\\nmove keeona 18\\r\\nmove wzf4eb 16\\r\\nmove f2548d 15\\r\\nmove yszsig 14\\r\\nmove yyf4q2 13\\r\\nmove jvpwuo 12\\r\\nmove d9stsx 10\\r\\nmove sbklx4 7\\r\\n\", \"5\\r\\nmove 3 41nqph\\r\\nmove 1 3\\r\\nmove 4 1\\r\\nmove 2 4\\r\\nmove 41nqph 2\\r\\n\", \"1\\r\\nmove 01 1\\r\\n\", \"2\\r\\nmove 02 1\\r\\nmove 01 2\\r\\n\"]}",
"style": "rule"
}
|
zpo_codearc
|
{"itemid": 21}
|
[
{
"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nA positive integer number n is written on a blackboard. It consists of not more than 105 digits. You have to transform it into a beautiful number by erasing some of the digits, and you want to erase as few digits as possible.\n\nThe number is called beautiful if it consists of at least one digit, doesn't have leading zeroes and is a multiple of 3. For example, 0, 99, 10110 are beautiful numbers, and 00, 03, 122 are not.\n\nWrite a program which for the given n will find a beautiful number such that n can be transformed into this number by erasing as few digits as possible. You can erase an arbitraty set of digits. For example, they don't have to go one after another in the number n.\n\nIf it's impossible to obtain a beautiful number, print -1. If there are multiple answers, print any of them.\n\nThe input and output requirements are as follows:\n\nInput:\nThe first line of input contains n — a positive integer number without leading zeroes (1 ≤ n < 10100000).\nOutput:\nPrint one number — any beautiful number obtained by erasing as few as possible digits. If there is no answer, print - 1.\n\nHere are some example input and output pairs:\n\n[{\"input\": \"1033\", \"output\": \"33\"}, {\"input\": \"10\", \"output\": \"0\"}, {\"input\": \"11\", \"output\": \"-1\"}, {\"input\": \"298\\r\\n\", \"output\": \"9\\r\\n\"}, {\"input\": \"100000000100000002\\r\\n\", \"output\": \"10000000000000002\\r\\n\"}, {\"input\": \"1000000\\r\\n\", \"output\": \"0\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
"role": "user"
}
] |
{
"ground_truth": "{\"inputs\": [\"1033\\r\\n\", \"10\\r\\n\", \"11\\r\\n\", \"3\\r\\n\", \"1\\r\\n\", \"117\\r\\n\", \"518\\r\\n\", \"327\\r\\n\", \"270461\\r\\n\", \"609209\\r\\n\", \"110930\\r\\n\", \"37616145150713688775\\r\\n\", \"98509135612114839419\\r\\n\", \"41674994051436988162\\r\\n\", \"82547062721736129804\\r\\n\", \"4902501252475186372406731932548506197390793597574544727433297197476846519276598727359617092494798814\\r\\n\", \"1291007209605301446874998623691572528836214969878676835460982410817526074579818247646933326771899122\\r\\n\", \"5388306043547446322173224045662327678394712363272776811399689704247387317165308057863239568137902157\\r\\n\", \"20000111\\r\\n\", \"100222\\r\\n\", \"202\\r\\n\", 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zpo_codearc
|
{"itemid": 23}
|
[
{
"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nThe flag of Berland is such rectangular field n × m that satisfies following conditions:\n\n- Flag consists of three colors which correspond to letters 'R', 'G' and 'B'.\n- Flag consists of three equal in width and height stripes, parralel to each other and to sides of the flag. Each stripe has exactly one color.\n- Each color should be used in exactly one stripe.\n\nYou are given a field n × m, consisting of characters 'R', 'G' and 'B'. Output \"YES\" (without quotes) if this field corresponds to correct flag of Berland. Otherwise, print \"NO\" (without quotes).\n\nThe input and output requirements are as follows:\n\nInput:\nThe first line contains two integer numbers n and m (1 ≤ n, m ≤ 100) — the sizes of the field.\n\nEach of the following n lines consisting of m characters 'R', 'G' and 'B' — the description of the field.\nOutput:\nPrint \"YES\" (without quotes) if the given field corresponds to correct flag of Berland . Otherwise, print \"NO\" (without quotes).\n\nHere are some example input and output pairs:\n\n[{\"input\": \"6 5\\nRRRRR\\nRRRRR\\nBBBBB\\nBBBBB\\nGGGGG\\nGGGGG\", \"output\": \"YES\"}, {\"input\": \"4 3\\nBRG\\nBRG\\nBRG\\nBRG\", \"output\": \"YES\"}, {\"input\": \"6 7\\nRRRGGGG\\nRRRGGGG\\nRRRGGGG\\nRRRBBBB\\nRRRBBBB\\nRRRBBBB\", \"output\": \"NO\"}, {\"input\": \"4 4\\nRRRR\\nRRRR\\nBBBB\\nGGGG\", \"output\": \"NO\"}, {\"input\": \"2 3\\r\\nRGG\\r\\nRBB\\r\\n\", \"output\": \"NO\\r\\n\"}, {\"input\": \"4 3\\r\\nBBB\\r\\nBBB\\r\\nBBB\\r\\nBBB\\r\\n\", \"output\": \"NO\\r\\n\"}, {\"input\": \"3 1\\r\\nB\\r\\nR\\r\\nR\\r\\n\", \"output\": \"NO\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
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}
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10\\r\\nRRRRRRRRRR\\r\\nRRRRRRRRRR\\r\\nRRRRRRRRRR\\r\\nRRRRRRRRRR\\r\\nRRRRRRRRRR\\r\\nRRRRRRRRRR\\r\\nRRRRRRRRRR\\r\\nBBBBBBBBBB\\r\\nBBBBBBBBBB\\r\\nBBBBBGBBBB\\r\\nBBBBBBBBBB\\r\\nBBBBBBBBBB\\r\\nBBBBBBBBBB\\r\\nBBBBBBBBBB\\r\\nGGGGGGGGGG\\r\\nGGGGGGGGGG\\r\\nGGGGGGGGGG\\r\\nGGGGGGGGGG\\r\\nGGGGGGGGGG\\r\\nGGGGGGGGGG\\r\\nGGGGGGGGGG\\r\\n\", \"3 2\\r\\nRR\\r\\nGB\\r\\nGB\\r\\n\", \"3 2\\r\\nRG\\r\\nRG\\r\\nBB\\r\\n\", \"6 5\\r\\nRRRRR\\r\\nRRRRR\\r\\nBBBBB\\r\\nBBBBB\\r\\nRRRRR\\r\\nRRRRR\\r\\n\", \"3 3\\r\\nRGB\\r\\nGBR\\r\\nBRG\\r\\n\", \"1 3\\r\\nRBB\\r\\n\", \"3 3\\r\\nBGR\\r\\nBGR\\r\\nBGR\\r\\n\", \"6 6\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\n\", \"4 2\\r\\nRR\\r\\nGG\\r\\nRR\\r\\nBB\\r\\n\", \"3 3\\r\\nRRR\\r\\nRRR\\r\\nGGG\\r\\n\", \"8 6\\r\\nRRRRRR\\r\\nRRRRRR\\r\\nRRRRRR\\r\\nRRRRRR\\r\\nRRRRRR\\r\\nRRRRRR\\r\\nRRRRRR\\r\\nRRRRRR\\r\\n\", \"3 4\\r\\nRRRR\\r\\nRRRR\\r\\nGGGG\\r\\n\", \"3 4\\r\\nRRRR\\r\\nRRRR\\r\\nRRRR\\r\\n\", \"6 1\\r\\nR\\r\\nR\\r\\nR\\r\\nR\\r\\nR\\r\\nR\\r\\n\", \"1 6\\r\\nRRBBGG\\r\\n\", \"1 6\\r\\nRGBRGB\\r\\n\", \"3 4\\r\\nRRRR\\r\\nGGGG\\r\\nRRRR\\r\\n\", \"3 3\\r\\nRRB\\r\\nGRG\\r\\nGBB\\r\\n\", \"3 7\\r\\nRRGGBBB\\r\\nRRGGBBB\\r\\nRRGGBBB\\r\\n\", \"3 1\\r\\nG\\r\\nR\\r\\nR\\r\\n\", \"2 3\\r\\nRGG\\r\\nRBB\\r\\n\", \"3 3\\r\\nRRG\\r\\nGGG\\r\\nBBB\\r\\n\", \"3 3\\r\\nRGB\\r\\nRBB\\r\\nRGB\\r\\n\", \"3 3\\r\\nRGR\\r\\nRGB\\r\\nRGB\\r\\n\", \"3 1\\r\\nB\\r\\nR\\r\\nR\\r\\n\", \"1 3\\r\\nGRR\\r\\n\", \"4 4\\r\\nRRRR\\r\\nGGGG\\r\\nBBBB\\r\\nBBBB\\r\\n\", \"1 3\\r\\nGGR\\r\\n\", \"3 3\\r\\nRGB\\r\\nGGB\\r\\nRGB\\r\\n\", \"3 3\\r\\nRGR\\r\\nGGG\\r\\nBBB\\r\\n\", \"6 6\\r\\nRRRRRR\\r\\nGGGGGG\\r\\nGGGGGG\\r\\nGGGGGG\\r\\nBBBBBB\\r\\nBBBBBB\\r\\n\", \"6 6\\r\\nRRRRRR\\r\\nRRRRRR\\r\\nGGGGGG\\r\\nBBBBBB\\r\\nBBBBBB\\r\\nBBBBBB\\r\\n\", \"3 1\\r\\nG\\r\\nB\\r\\nR\\r\\n\", \"3 3\\r\\nGGB\\r\\nRGB\\r\\nRGB\\r\\n\", \"3 3\\r\\nGRR\\r\\nGGG\\r\\nBBB\\r\\n\", \"6 6\\r\\nRRRRRR\\r\\nRRRRRR\\r\\nGGGGGG\\r\\nGGGGGG\\r\\nBBBBBB\\r\\nRRRRRR\\r\\n\", \"3 3\\r\\nRRR\\r\\nGBG\\r\\nBBB\\r\\n\", \"3 8\\r\\nRRGGBBBB\\r\\nRRGGBBBB\\r\\nRRGGBBBB\\r\\n\", \"2 2\\r\\nRR\\r\\nGG\\r\\n\", \"3 3\\r\\nRGB\\r\\nRGR\\r\\nRGB\\r\\n\", \"1 3\\r\\nRBG\\r\\n\", \"2 6\\r\\nRRGGBB\\r\\nGGRRBB\\r\\n\", \"6 2\\r\\nRR\\r\\nGG\\r\\nBB\\r\\nRR\\r\\nGG\\r\\nBB\\r\\n\", \"1 5\\r\\nRRGGB\\r\\n\", \"1 2\\r\\nRG\\r\\n\", \"1 6\\r\\nRGBRBG\\r\\n\", \"1 6\\r\\nRRRGGB\\r\\n\", \"1 3\\r\\nRGB\\r\\n\", \"4 3\\r\\nRRR\\r\\nBBR\\r\\nGBB\\r\\nGGG\\r\\n\", \"6 3\\r\\nRRR\\r\\nBBB\\r\\nBBB\\r\\nBBB\\r\\nGGG\\r\\nGGG\\r\\n\", \"3 3\\r\\nRBG\\r\\nRBG\\r\\nRBG\\r\\n\", \"6 3\\r\\nRRR\\r\\nBBB\\r\\nGGG\\r\\nRRR\\r\\nBBB\\r\\nGGG\\r\\n\", \"1 4\\r\\nRGBB\\r\\n\", \"6 6\\r\\nRRRRRR\\r\\nRRRRRR\\r\\nRRRRRR\\r\\nRRRRRR\\r\\nRRRRRR\\r\\nRRRRRR\\r\\n\", \"6 5\\r\\nRRRRR\\r\\nRRRRR\\r\\nGGGGG\\r\\nGGGGG\\r\\nRRRRR\\r\\nRRRRR\\r\\n\", \"3 3\\r\\nRGB\\r\\nBRG\\r\\nGBR\\r\\n\", \"6 10\\r\\nRRRRRRRRRR\\r\\nGGGGGGGGGG\\r\\nBBBBBBBBBB\\r\\nRRRRRRRRRR\\r\\nGGGGGGGGGG\\r\\nBBBBBBBBBB\\r\\n\", \"20 6\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\nRRGGBB\\r\\n\", \"4 1\\r\\nR\\r\\nG\\r\\nB\\r\\nR\\r\\n\", \"1 4\\r\\nRGBR\\r\\n\", \"2 4\\r\\nRGBB\\r\\nRRGB\\r\\n\"], \"outputs\": [\"YES\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\"]}",
"style": "rule"
}
|
zpo_codearc
|
{"itemid": 30}
|
[
{
"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nIs it rated?\n\nHere it is. The Ultimate Question of Competitive Programming, Codeforces, and Everything. And you are here to answer it.\n\nAnother Codeforces round has been conducted. No two participants have the same number of points. For each participant, from the top to the bottom of the standings, their rating before and after the round is known.\n\nIt's known that if at least one participant's rating has changed, then the round was rated for sure.\n\nIt's also known that if the round was rated and a participant with lower rating took a better place in the standings than a participant with higher rating, then at least one round participant's rating has changed.\n\nIn this problem, you should not make any other assumptions about the rating system.\n\nDetermine if the current round is rated, unrated, or it's impossible to determine whether it is rated of not.\n\nThe input and output requirements are as follows:\n\nInput:\nThe first line contains a single integer n (2 ≤ n ≤ 1000) — the number of round participants.\n\nEach of the next n lines contains two integers ai and bi (1 ≤ ai, bi ≤ 4126) — the rating of the i-th participant before and after the round, respectively. The participants are listed in order from the top to the bottom of the standings.\nOutput:\nIf the round is rated for sure, print \"rated\". If the round is unrated for sure, print \"unrated\". If it's impossible to determine whether the round is rated or not, print \"maybe\".\n\nHere are some example input and output pairs:\n\n[{\"input\": \"6\\n3060 3060\\n2194 2194\\n2876 2903\\n2624 2624\\n3007 2991\\n2884 2884\", \"output\": \"rated\"}, {\"input\": \"4\\n1500 1500\\n1300 1300\\n1200 1200\\n1400 1400\", \"output\": \"unrated\"}, {\"input\": \"5\\n3123 3123\\n2777 2777\\n2246 2246\\n2246 2246\\n1699 1699\", \"output\": \"maybe\"}, {\"input\": \"3\\r\\n1 1\\r\\n3 3\\r\\n4 4\\r\\n\", \"output\": \"unrated\\r\\n\"}, {\"input\": \"2\\r\\n20 30\\r\\n10 5\\r\\n\", \"output\": \"rated\\r\\n\"}, {\"input\": \"3\\r\\n1500 1500\\r\\n1600 1600\\r\\n1600 1600\\r\\n\", \"output\": \"unrated\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
"role": "user"
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] |
{
"ground_truth": "{\"inputs\": [\"6\\r\\n3060 3060\\r\\n2194 2194\\r\\n2876 2903\\r\\n2624 2624\\r\\n3007 2991\\r\\n2884 2884\\r\\n\", \"4\\r\\n1500 1500\\r\\n1300 1300\\r\\n1200 1200\\r\\n1400 1400\\r\\n\", \"5\\r\\n3123 3123\\r\\n2777 2777\\r\\n2246 2246\\r\\n2246 2246\\r\\n1699 1699\\r\\n\", \"2\\r\\n1 1\\r\\n1 1\\r\\n\", \"2\\r\\n4126 4126\\r\\n4126 4126\\r\\n\", \"10\\r\\n446 446\\r\\n1331 1331\\r\\n3594 3594\\r\\n1346 1902\\r\\n91 91\\r\\n3590 3590\\r\\n2437 2437\\r\\n4007 3871\\r\\n2797 699\\r\\n1423 1423\\r\\n\", \"10\\r\\n4078 4078\\r\\n2876 2876\\r\\n1061 1061\\r\\n3721 3721\\r\\n143 143\\r\\n2992 2992\\r\\n3279 3279\\r\\n3389 3389\\r\\n1702 1702\\r\\n1110 1110\\r\\n\", \"10\\r\\n4078 4078\\r\\n3721 3721\\r\\n3389 3389\\r\\n3279 3279\\r\\n2992 2992\\r\\n2876 2876\\r\\n1702 1702\\r\\n1110 1110\\r\\n1061 1061\\r\\n143 143\\r\\n\", \"2\\r\\n3936 3936\\r\\n2967 2967\\r\\n\", \"2\\r\\n1 1\\r\\n2 2\\r\\n\", \"2\\r\\n2 2\\r\\n1 1\\r\\n\", \"2\\r\\n2 1\\r\\n1 2\\r\\n\", \"2\\r\\n2967 2967\\r\\n3936 3936\\r\\n\", \"3\\r\\n1200 1200\\r\\n1200 1200\\r\\n1300 1300\\r\\n\", \"3\\r\\n3 3\\r\\n2 2\\r\\n1 1\\r\\n\", \"3\\r\\n1 1\\r\\n1 1\\r\\n2 2\\r\\n\", \"2\\r\\n3 2\\r\\n3 2\\r\\n\", \"3\\r\\n5 5\\r\\n4 4\\r\\n3 4\\r\\n\", \"3\\r\\n200 200\\r\\n200 200\\r\\n300 300\\r\\n\", \"3\\r\\n1 1\\r\\n2 2\\r\\n3 3\\r\\n\", \"5\\r\\n3123 3123\\r\\n2777 2777\\r\\n2246 2246\\r\\n2245 2245\\r\\n1699 1699\\r\\n\", \"2\\r\\n10 10\\r\\n8 8\\r\\n\", \"3\\r\\n1500 1500\\r\\n1500 1500\\r\\n1600 1600\\r\\n\", \"3\\r\\n1500 1500\\r\\n1500 1500\\r\\n1700 1700\\r\\n\", \"4\\r\\n100 100\\r\\n100 100\\r\\n70 70\\r\\n80 80\\r\\n\", \"2\\r\\n1 2\\r\\n2 1\\r\\n\", \"3\\r\\n5 5\\r\\n4 3\\r\\n3 3\\r\\n\", \"3\\r\\n1600 1650\\r\\n1500 1550\\r\\n1400 1450\\r\\n\", \"4\\r\\n2000 2000\\r\\n1500 1500\\r\\n1500 1500\\r\\n1700 1700\\r\\n\", \"4\\r\\n1500 1500\\r\\n1400 1400\\r\\n1400 1400\\r\\n1700 1700\\r\\n\", \"2\\r\\n1600 1600\\r\\n1400 1400\\r\\n\", \"2\\r\\n3 1\\r\\n9 8\\r\\n\", \"2\\r\\n2 1\\r\\n1 1\\r\\n\", \"4\\r\\n4123 4123\\r\\n4123 4123\\r\\n2670 2670\\r\\n3670 3670\\r\\n\", \"2\\r\\n2 2\\r\\n3 3\\r\\n\", \"2\\r\\n10 11\\r\\n5 4\\r\\n\", \"2\\r\\n15 14\\r\\n13 12\\r\\n\", \"2\\r\\n2 1\\r\\n2 2\\r\\n\", \"3\\r\\n2670 2670\\r\\n3670 3670\\r\\n4106 4106\\r\\n\", \"3\\r\\n4 5\\r\\n3 3\\r\\n2 2\\r\\n\", \"2\\r\\n10 9\\r\\n10 10\\r\\n\", \"3\\r\\n1011 1011\\r\\n1011 999\\r\\n2200 2100\\r\\n\", \"2\\r\\n3 3\\r\\n5 5\\r\\n\", \"2\\r\\n1500 1500\\r\\n3000 2000\\r\\n\", \"2\\r\\n5 6\\r\\n5 5\\r\\n\", \"3\\r\\n2000 2000\\r\\n1500 1501\\r\\n500 500\\r\\n\", \"2\\r\\n2 3\\r\\n2 2\\r\\n\", \"2\\r\\n3 3\\r\\n2 2\\r\\n\", \"2\\r\\n1 2\\r\\n1 1\\r\\n\", \"4\\r\\n3123 3123\\r\\n2777 2777\\r\\n2246 2246\\r\\n1699 1699\\r\\n\", \"2\\r\\n15 14\\r\\n14 13\\r\\n\", \"4\\r\\n3000 3000\\r\\n2900 2900\\r\\n3000 3000\\r\\n2900 2900\\r\\n\", \"6\\r\\n30 3060\\r\\n24 2194\\r\\n26 2903\\r\\n24 2624\\r\\n37 2991\\r\\n24 2884\\r\\n\", \"2\\r\\n100 99\\r\\n100 100\\r\\n\", \"4\\r\\n2 2\\r\\n1 1\\r\\n1 1\\r\\n2 2\\r\\n\", \"3\\r\\n100 101\\r\\n100 100\\r\\n100 100\\r\\n\", \"4\\r\\n1000 1001\\r\\n900 900\\r\\n950 950\\r\\n890 890\\r\\n\", \"2\\r\\n2 3\\r\\n1 1\\r\\n\", \"2\\r\\n2 2\\r\\n1 1\\r\\n\", \"2\\r\\n3 2\\r\\n2 2\\r\\n\", \"2\\r\\n3 2\\r\\n3 3\\r\\n\", \"2\\r\\n1 1\\r\\n2 2\\r\\n\", \"3\\r\\n3 2\\r\\n3 3\\r\\n3 3\\r\\n\", \"4\\r\\n1500 1501\\r\\n1300 1300\\r\\n1200 1200\\r\\n1400 1400\\r\\n\", \"3\\r\\n1000 1000\\r\\n500 500\\r\\n400 300\\r\\n\", \"5\\r\\n3123 3123\\r\\n2777 2777\\r\\n2246 2246\\r\\n2246 2246\\r\\n3000 3000\\r\\n\", \"2\\r\\n1 1\\r\\n2 3\\r\\n\", \"2\\r\\n6 2\\r\\n6 2\\r\\n\", \"5\\r\\n3123 3123\\r\\n1699 1699\\r\\n2777 2777\\r\\n2246 2246\\r\\n2246 2246\\r\\n\", \"2\\r\\n1500 1500\\r\\n1600 1600\\r\\n\", \"5\\r\\n3123 3123\\r\\n2777 2777\\r\\n2246 2246\\r\\n2241 2241\\r\\n1699 1699\\r\\n\", \"2\\r\\n20 30\\r\\n10 5\\r\\n\", \"3\\r\\n1 1\\r\\n2 2\\r\\n1 1\\r\\n\", \"2\\r\\n1 2\\r\\n3 3\\r\\n\", \"5\\r\\n5 5\\r\\n4 4\\r\\n3 3\\r\\n2 2\\r\\n1 1\\r\\n\", \"2\\r\\n2 2\\r\\n2 1\\r\\n\", \"2\\r\\n100 100\\r\\n90 89\\r\\n\", \"2\\r\\n1000 900\\r\\n2000 2000\\r\\n\", \"2\\r\\n50 10\\r\\n10 50\\r\\n\", \"2\\r\\n200 200\\r\\n100 100\\r\\n\", \"3\\r\\n2 2\\r\\n2 2\\r\\n3 3\\r\\n\", \"3\\r\\n1000 1000\\r\\n300 300\\r\\n100 100\\r\\n\", \"4\\r\\n2 2\\r\\n2 2\\r\\n3 3\\r\\n4 4\\r\\n\", \"2\\r\\n5 3\\r\\n6 3\\r\\n\", \"2\\r\\n1200 1100\\r\\n1200 1000\\r\\n\", \"2\\r\\n5 5\\r\\n4 4\\r\\n\", \"2\\r\\n5 5\\r\\n3 3\\r\\n\", \"5\\r\\n1500 1500\\r\\n1300 1300\\r\\n1200 1200\\r\\n1400 1400\\r\\n1100 1100\\r\\n\", \"5\\r\\n10 10\\r\\n9 9\\r\\n8 8\\r\\n7 7\\r\\n6 6\\r\\n\", \"3\\r\\n1000 1000\\r\\n300 300\\r\\n10 10\\r\\n\", \"5\\r\\n6 6\\r\\n5 5\\r\\n4 4\\r\\n3 3\\r\\n2 2\\r\\n\", \"2\\r\\n3 3\\r\\n1 1\\r\\n\", \"4\\r\\n2 2\\r\\n2 2\\r\\n2 2\\r\\n3 3\\r\\n\", \"2\\r\\n1000 1000\\r\\n700 700\\r\\n\", \"2\\r\\n4 3\\r\\n5 3\\r\\n\", \"2\\r\\n1000 1000\\r\\n1100 1100\\r\\n\", \"4\\r\\n5 5\\r\\n4 4\\r\\n3 3\\r\\n2 2\\r\\n\", \"3\\r\\n1 1\\r\\n2 3\\r\\n2 2\\r\\n\", \"2\\r\\n1 2\\r\\n1 3\\r\\n\", \"2\\r\\n3 3\\r\\n1 2\\r\\n\", \"4\\r\\n1501 1500\\r\\n1300 1300\\r\\n1200 1200\\r\\n1400 1400\\r\\n\", \"5\\r\\n1 1\\r\\n2 2\\r\\n3 3\\r\\n4 4\\r\\n5 5\\r\\n\", \"2\\r\\n10 10\\r\\n1 2\\r\\n\", \"6\\r\\n3123 3123\\r\\n2777 2777\\r\\n2246 2246\\r\\n2246 2246\\r\\n1699 1699\\r\\n1900 1900\\r\\n\", \"6\\r\\n3123 3123\\r\\n2777 2777\\r\\n3000 3000\\r\\n2246 2246\\r\\n2246 2246\\r\\n1699 1699\\r\\n\", \"2\\r\\n100 100\\r\\n110 110\\r\\n\", \"3\\r\\n3 3\\r\\n3 3\\r\\n4 4\\r\\n\", \"3\\r\\n3 3\\r\\n3 2\\r\\n4 4\\r\\n\", \"3\\r\\n5 2\\r\\n4 4\\r\\n3 3\\r\\n\", \"4\\r\\n4 4\\r\\n3 3\\r\\n2 2\\r\\n1 1\\r\\n\", \"2\\r\\n1 1\\r\\n3 2\\r\\n\", \"5\\r\\n3123 3123\\r\\n2777 2777\\r\\n2246 2246\\r\\n2246 2246\\r\\n2699 2699\\r\\n\", \"3\\r\\n3 3\\r\\n3 3\\r\\n3 4\\r\\n\", \"3\\r\\n1 2\\r\\n2 2\\r\\n3 3\\r\\n\", \"3\\r\\n1 2\\r\\n1 2\\r\\n1 2\\r\\n\", \"2\\r\\n2 1\\r\\n2 1\\r\\n\", \"2\\r\\n1 2\\r\\n3 4\\r\\n\", \"2\\r\\n3 2\\r\\n2 3\\r\\n\", \"3\\r\\n1500 1500\\r\\n1600 1600\\r\\n1600 1600\\r\\n\", \"3\\r\\n1 1\\r\\n3 3\\r\\n4 4\\r\\n\", \"3\\r\\n1 1\\r\\n2 2\\r\\n2 2\\r\\n\", \"2\\r\\n10 12\\r\\n8 8\\r\\n\", \"5\\r\\n1200 1200\\r\\n1500 1500\\r\\n1500 1500\\r\\n1500 1500\\r\\n1500 1500\\r\\n\", \"2\\r\\n1 2\\r\\n2 2\\r\\n\", \"3\\r\\n1500 1400\\r\\n1200 1200\\r\\n1100 1100\\r\\n\", \"2\\r\\n10 12\\r\\n10 10\\r\\n\", \"3\\r\\n1500 1500\\r\\n1400 1400\\r\\n1300 1300\\r\\n\", \"3\\r\\n3 3\\r\\n4 4\\r\\n5 5\\r\\n\", \"3\\r\\n2 6\\r\\n3 5\\r\\n4 4\\r\\n\", \"2\\r\\n5 6\\r\\n4 6\\r\\n\", \"4\\r\\n10 10\\r\\n10 10\\r\\n7 7\\r\\n8 8\\r\\n\", \"2\\r\\n4 4\\r\\n3 3\\r\\n\"], \"outputs\": [\"rated\\r\\n\", \"unrated\\r\\n\", \"maybe\\r\\n\", \"maybe\\r\\n\", \"maybe\\r\\n\", \"rated\\r\\n\", \"unrated\\r\\n\", \"maybe\\r\\n\", \"maybe\\r\\n\", \"unrated\\r\\n\", \"maybe\\r\\n\", \"rated\\r\\n\", \"unrated\\r\\n\", \"unrated\\r\\n\", \"maybe\\r\\n\", \"unrated\\r\\n\", \"rated\\r\\n\", \"rated\\r\\n\", \"unrated\\r\\n\", \"unrated\\r\\n\", 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zpo_codearc
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"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nYou are given the set of vectors on the plane, each of them starting at the origin. Your task is to find a pair of vectors with the minimal non-oriented angle between them.\n\nNon-oriented angle is non-negative value, minimal between clockwise and counterclockwise direction angles. Non-oriented angle is always between 0 and π. For example, opposite directions vectors have angle equals to π.\n\nThe input and output requirements are as follows:\n\nInput:\nFirst line of the input contains a single integer n (2 ≤ n ≤ 100 000) — the number of vectors.\n\nThe i-th of the following n lines contains two integers xi and yi (|x|, |y| ≤ 10 000, x2 + y2 > 0) — the coordinates of the i-th vector. Vectors are numbered from 1 to n in order of appearing in the input. It is guaranteed that no two vectors in the input share the same direction (but they still can have opposite directions).\nOutput:\nPrint two integer numbers a and b (a ≠ b) — a pair of indices of vectors with the minimal non-oriented angle. You can print the numbers in any order. If there are many possible answers, print any.\n\nHere are some example input and output pairs:\n\n[{\"input\": \"4\\n-1 0\\n0 -1\\n1 0\\n1 1\", \"output\": \"3 4\"}, {\"input\": \"6\\n-1 0\\n0 -1\\n1 0\\n1 1\\n-4 -5\\n-4 -6\", \"output\": \"6 5\"}, {\"input\": \"4\\r\\n9844 9986\\r\\n181 9967\\r\\n-9812 -9925\\r\\n-194 -9900\\r\\n\", \"output\": \"1 2\\r\\n\"}, {\"input\": \"3\\r\\n1 0\\r\\n10000 -1\\r\\n1 1\\r\\n\", \"output\": \"2 1\\r\\n\"}, {\"input\": \"4\\r\\n-1 0\\r\\n0 -1\\r\\n-1 1\\r\\n1 0\\r\\n\", \"output\": \"3 1\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
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zpo_codearc
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{"itemid": 36}
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"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nIn a far away kingdom young pages help to set the table for the King. As they are terribly mischievous, one needs to keep an eye on the control whether they have set everything correctly. This time the royal chef Gerasim had the impression that the pages have played a prank again: they had poured the juice from one cup to another. Now Gerasim wants to check his hypothesis. The good thing is that chef Gerasim always pour the same number of milliliters of juice to all cups in the royal kitchen. Having thoroughly measured the juice in each cup, Gerasim asked you to write a program that will determine from which cup juice was poured to which one; otherwise, the program should determine that this time the pages set the table diligently.\n\nTo simplify your task we shall consider the cups to be bottomless so that the juice never overfills a cup and pours out, however much it can be. Besides, by some strange reason in a far away kingdom one can only pour to a cup or from one cup to another an integer number of milliliters of juice.\n\nThe input and output requirements are as follows:\n\nInput:\nThe first line contains integer n — the number of cups on the royal table (1 ≤ n ≤ 1000). Next n lines contain volumes of juice in each cup — non-negative integers, not exceeding 104.\nOutput:\nIf the pages didn't pour the juice, print \"Exemplary pages.\" (without the quotes). If you can determine the volume of juice poured during exactly one juice pouring, print \"v ml. from cup #a to cup #b.\" (without the quotes), where v represents the volume of poured juice, a represents the number of the cup from which the juice was poured (the cups are numbered with consecutive positive integers starting from one in the order in which the cups are described in the input data), b represents the number of the cup into which the juice was poured. Finally, if the given juice's volumes cannot be obtained using no more than one pouring (for example, the pages poured the juice from one cup to another more than once or the royal kitchen maids poured the juice into the cups incorrectly), print \"Unrecoverable configuration.\" (without the quotes).\n\nHere are some example input and output pairs:\n\n[{\"input\": \"5\\n270\\n250\\n250\\n230\\n250\", \"output\": \"20 ml. from cup #4 to cup #1.\"}, {\"input\": \"5\\n250\\n250\\n250\\n250\\n250\", \"output\": \"Exemplary pages.\"}, {\"input\": \"5\\n270\\n250\\n249\\n230\\n250\", \"output\": \"Unrecoverable configuration.\"}, {\"input\": \"2\\r\\n2\\r\\n2\\r\\n\", \"output\": \"Exemplary pages.\\r\\n\"}, {\"input\": \"3\\r\\n2\\r\\n1\\r\\n2\\r\\n\", \"output\": \"Unrecoverable configuration.\\r\\n\"}, {\"input\": \"4\\r\\n0\\r\\n1\\r\\n1\\r\\n1\\r\\n\", \"output\": \"Unrecoverable configuration.\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
"role": "user"
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"ground_truth": "{\"inputs\": [\"5\\r\\n270\\r\\n250\\r\\n250\\r\\n230\\r\\n250\\r\\n\", \"5\\r\\n250\\r\\n250\\r\\n250\\r\\n250\\r\\n250\\r\\n\", \"5\\r\\n270\\r\\n250\\r\\n249\\r\\n230\\r\\n250\\r\\n\", \"4\\r\\n200\\r\\n190\\r\\n210\\r\\n200\\r\\n\", \"4\\r\\n1\\r\\n2\\r\\n3\\r\\n4\\r\\n\", \"1\\r\\n0\\r\\n\", \"2\\r\\n0\\r\\n0\\r\\n\", \"2\\r\\n0\\r\\n1\\r\\n\", \"2\\r\\n0\\r\\n2\\r\\n\", \"2\\r\\n1\\r\\n0\\r\\n\", \"2\\r\\n1\\r\\n1\\r\\n\", \"2\\r\\n1\\r\\n2\\r\\n\", \"2\\r\\n2\\r\\n0\\r\\n\", \"2\\r\\n2\\r\\n1\\r\\n\", \"2\\r\\n2\\r\\n2\\r\\n\", \"3\\r\\n0\\r\\n0\\r\\n0\\r\\n\", \"3\\r\\n0\\r\\n0\\r\\n1\\r\\n\", \"3\\r\\n0\\r\\n0\\r\\n2\\r\\n\", \"3\\r\\n0\\r\\n1\\r\\n0\\r\\n\", \"3\\r\\n0\\r\\n1\\r\\n1\\r\\n\", \"3\\r\\n0\\r\\n1\\r\\n2\\r\\n\", \"3\\r\\n0\\r\\n2\\r\\n0\\r\\n\", \"3\\r\\n0\\r\\n2\\r\\n1\\r\\n\", \"3\\r\\n0\\r\\n2\\r\\n2\\r\\n\", \"3\\r\\n1\\r\\n0\\r\\n0\\r\\n\", \"3\\r\\n1\\r\\n0\\r\\n1\\r\\n\", \"3\\r\\n1\\r\\n0\\r\\n2\\r\\n\", \"3\\r\\n1\\r\\n1\\r\\n0\\r\\n\", \"3\\r\\n1\\r\\n1\\r\\n1\\r\\n\", \"3\\r\\n1\\r\\n1\\r\\n2\\r\\n\", \"3\\r\\n1\\r\\n2\\r\\n0\\r\\n\", \"3\\r\\n1\\r\\n2\\r\\n1\\r\\n\", \"3\\r\\n1\\r\\n2\\r\\n2\\r\\n\", \"3\\r\\n2\\r\\n0\\r\\n0\\r\\n\", \"3\\r\\n2\\r\\n0\\r\\n1\\r\\n\", \"3\\r\\n2\\r\\n0\\r\\n2\\r\\n\", \"3\\r\\n2\\r\\n1\\r\\n0\\r\\n\", \"3\\r\\n2\\r\\n1\\r\\n1\\r\\n\", \"3\\r\\n2\\r\\n1\\r\\n2\\r\\n\", \"3\\r\\n2\\r\\n2\\r\\n0\\r\\n\", \"3\\r\\n2\\r\\n2\\r\\n1\\r\\n\", \"3\\r\\n2\\r\\n2\\r\\n2\\r\\n\", \"4\\r\\n0\\r\\n0\\r\\n0\\r\\n0\\r\\n\", \"4\\r\\n0\\r\\n0\\r\\n0\\r\\n1\\r\\n\", \"4\\r\\n0\\r\\n0\\r\\n0\\r\\n2\\r\\n\", \"4\\r\\n0\\r\\n0\\r\\n1\\r\\n0\\r\\n\", \"4\\r\\n0\\r\\n0\\r\\n1\\r\\n1\\r\\n\", \"4\\r\\n0\\r\\n0\\r\\n1\\r\\n2\\r\\n\", \"4\\r\\n0\\r\\n0\\r\\n2\\r\\n0\\r\\n\", \"4\\r\\n0\\r\\n0\\r\\n2\\r\\n1\\r\\n\", \"4\\r\\n0\\r\\n0\\r\\n2\\r\\n2\\r\\n\", \"4\\r\\n0\\r\\n1\\r\\n0\\r\\n0\\r\\n\", \"4\\r\\n0\\r\\n1\\r\\n0\\r\\n1\\r\\n\", \"4\\r\\n0\\r\\n1\\r\\n0\\r\\n2\\r\\n\", \"4\\r\\n0\\r\\n1\\r\\n1\\r\\n0\\r\\n\", \"4\\r\\n0\\r\\n1\\r\\n1\\r\\n1\\r\\n\", \"4\\r\\n0\\r\\n1\\r\\n1\\r\\n2\\r\\n\", \"4\\r\\n0\\r\\n1\\r\\n2\\r\\n0\\r\\n\", \"4\\r\\n0\\r\\n1\\r\\n2\\r\\n1\\r\\n\", \"4\\r\\n0\\r\\n1\\r\\n2\\r\\n2\\r\\n\", \"4\\r\\n0\\r\\n2\\r\\n0\\r\\n0\\r\\n\", \"4\\r\\n0\\r\\n2\\r\\n0\\r\\n1\\r\\n\", \"4\\r\\n0\\r\\n2\\r\\n0\\r\\n2\\r\\n\", \"4\\r\\n0\\r\\n2\\r\\n1\\r\\n0\\r\\n\", \"4\\r\\n0\\r\\n2\\r\\n1\\r\\n1\\r\\n\", \"4\\r\\n0\\r\\n2\\r\\n1\\r\\n2\\r\\n\", \"4\\r\\n0\\r\\n2\\r\\n2\\r\\n0\\r\\n\", \"4\\r\\n0\\r\\n2\\r\\n2\\r\\n1\\r\\n\", \"4\\r\\n0\\r\\n2\\r\\n2\\r\\n2\\r\\n\", \"4\\r\\n1\\r\\n0\\r\\n0\\r\\n0\\r\\n\", \"4\\r\\n1\\r\\n0\\r\\n0\\r\\n1\\r\\n\", \"4\\r\\n1\\r\\n0\\r\\n0\\r\\n2\\r\\n\", \"4\\r\\n1\\r\\n0\\r\\n1\\r\\n0\\r\\n\", \"4\\r\\n1\\r\\n0\\r\\n1\\r\\n1\\r\\n\", \"4\\r\\n1\\r\\n0\\r\\n1\\r\\n2\\r\\n\", \"4\\r\\n1\\r\\n0\\r\\n2\\r\\n0\\r\\n\", \"4\\r\\n1\\r\\n0\\r\\n2\\r\\n1\\r\\n\", \"4\\r\\n1\\r\\n0\\r\\n2\\r\\n2\\r\\n\", \"4\\r\\n1\\r\\n1\\r\\n0\\r\\n0\\r\\n\", \"4\\r\\n1\\r\\n1\\r\\n0\\r\\n1\\r\\n\", \"4\\r\\n1\\r\\n1\\r\\n0\\r\\n2\\r\\n\", \"4\\r\\n1\\r\\n1\\r\\n1\\r\\n0\\r\\n\", \"4\\r\\n1\\r\\n1\\r\\n1\\r\\n1\\r\\n\", \"4\\r\\n1\\r\\n1\\r\\n1\\r\\n2\\r\\n\", \"4\\r\\n1\\r\\n1\\r\\n2\\r\\n0\\r\\n\", \"4\\r\\n1\\r\\n1\\r\\n2\\r\\n1\\r\\n\", \"4\\r\\n1\\r\\n1\\r\\n2\\r\\n2\\r\\n\", \"4\\r\\n1\\r\\n2\\r\\n0\\r\\n0\\r\\n\", \"4\\r\\n1\\r\\n2\\r\\n0\\r\\n1\\r\\n\", \"4\\r\\n1\\r\\n2\\r\\n0\\r\\n2\\r\\n\", \"4\\r\\n1\\r\\n2\\r\\n1\\r\\n0\\r\\n\", \"4\\r\\n1\\r\\n2\\r\\n1\\r\\n1\\r\\n\", \"4\\r\\n1\\r\\n2\\r\\n1\\r\\n2\\r\\n\", \"4\\r\\n1\\r\\n2\\r\\n2\\r\\n0\\r\\n\", \"4\\r\\n1\\r\\n2\\r\\n2\\r\\n1\\r\\n\", \"4\\r\\n1\\r\\n2\\r\\n2\\r\\n2\\r\\n\", \"4\\r\\n2\\r\\n0\\r\\n0\\r\\n0\\r\\n\", \"4\\r\\n2\\r\\n0\\r\\n0\\r\\n1\\r\\n\", \"4\\r\\n2\\r\\n0\\r\\n0\\r\\n2\\r\\n\", \"4\\r\\n2\\r\\n0\\r\\n1\\r\\n0\\r\\n\", \"4\\r\\n2\\r\\n0\\r\\n1\\r\\n1\\r\\n\", \"4\\r\\n2\\r\\n0\\r\\n1\\r\\n2\\r\\n\", \"4\\r\\n2\\r\\n0\\r\\n2\\r\\n0\\r\\n\", \"4\\r\\n2\\r\\n0\\r\\n2\\r\\n1\\r\\n\", \"4\\r\\n2\\r\\n0\\r\\n2\\r\\n2\\r\\n\", \"4\\r\\n2\\r\\n1\\r\\n0\\r\\n0\\r\\n\", \"4\\r\\n2\\r\\n1\\r\\n0\\r\\n1\\r\\n\", \"4\\r\\n2\\r\\n1\\r\\n0\\r\\n2\\r\\n\", \"4\\r\\n2\\r\\n1\\r\\n1\\r\\n0\\r\\n\", \"4\\r\\n2\\r\\n1\\r\\n1\\r\\n1\\r\\n\", \"4\\r\\n2\\r\\n1\\r\\n1\\r\\n2\\r\\n\", \"4\\r\\n2\\r\\n1\\r\\n2\\r\\n0\\r\\n\", \"4\\r\\n2\\r\\n1\\r\\n2\\r\\n1\\r\\n\", \"4\\r\\n2\\r\\n1\\r\\n2\\r\\n2\\r\\n\", \"4\\r\\n2\\r\\n2\\r\\n0\\r\\n0\\r\\n\", \"4\\r\\n2\\r\\n2\\r\\n0\\r\\n1\\r\\n\", \"4\\r\\n2\\r\\n2\\r\\n0\\r\\n2\\r\\n\", \"4\\r\\n2\\r\\n2\\r\\n1\\r\\n0\\r\\n\", \"4\\r\\n2\\r\\n2\\r\\n1\\r\\n1\\r\\n\", \"4\\r\\n2\\r\\n2\\r\\n1\\r\\n2\\r\\n\", \"4\\r\\n2\\r\\n2\\r\\n2\\r\\n0\\r\\n\", \"4\\r\\n2\\r\\n2\\r\\n2\\r\\n1\\r\\n\", \"4\\r\\n2\\r\\n2\\r\\n2\\r\\n2\\r\\n\", \"27\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n2626\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n8572\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n5599\\r\\n\", \"19\\r\\n5001\\r\\n5001\\r\\n5001\\r\\n5001\\r\\n5001\\r\\n5001\\r\\n5001\\r\\n5001\\r\\n5001\\r\\n5001\\r\\n5001\\r\\n5001\\r\\n5001\\r\\n5001\\r\\n82\\r\\n5001\\r\\n9919\\r\\n5001\\r\\n5001\\r\\n\"], \"outputs\": [\"20 ml. from cup #4 to cup #1.\\r\\n\", \"Exemplary pages.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"10 ml. from cup #2 to cup #3.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Exemplary pages.\\r\\n\", \"Exemplary pages.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #1 to cup #2.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Exemplary pages.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #2 to cup #1.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Exemplary pages.\\r\\n\", \"Exemplary pages.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #1 to cup #3.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #1 to cup #2.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #2 to cup #3.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Exemplary pages.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #3 to cup #2.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #2 to cup #1.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #3 to cup #1.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Exemplary pages.\\r\\n\", \"Exemplary pages.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #1 to cup #4.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #1 to cup #3.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #1 to cup #2.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #2 to cup #4.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #2 to cup #3.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #3 to cup #4.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Exemplary pages.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #4 to cup #3.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #3 to cup #2.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #4 to cup #2.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #2 to cup #1.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #3 to cup #1.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"1 ml. from cup #4 to cup #1.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Unrecoverable configuration.\\r\\n\", \"Exemplary pages.\\r\\n\", \"2973 ml. from cup #11 to cup #17.\\r\\n\", \"Unrecoverable configuration.\\r\\n\"]}",
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zpo_codearc
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[
{
"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nIn this problem we assume the Earth to be a completely round ball and its surface a perfect sphere. The length of the equator and any meridian is considered to be exactly 40 000 kilometers. Thus, travelling from North Pole to South Pole or vice versa takes exactly 20 000 kilometers.\n\nLimak, a polar bear, lives on the North Pole. Close to the New Year, he helps somebody with delivering packages all around the world. Instead of coordinates of places to visit, Limak got a description how he should move, assuming that he starts from the North Pole. The description consists of n parts. In the i-th part of his journey, Limak should move ti kilometers in the direction represented by a string diri that is one of: \"North\", \"South\", \"West\", \"East\".\n\nLimak isn’t sure whether the description is valid. You must help him to check the following conditions:\n\n- If at any moment of time (before any of the instructions or while performing one of them) Limak is on the North Pole, he can move only to the South.\n- If at any moment of time (before any of the instructions or while performing one of them) Limak is on the South Pole, he can move only to the North.\n- The journey must end on the North Pole.\n\nCheck if the above conditions are satisfied and print \"YES\" or \"NO\" on a single line.\n\nThe input and output requirements are as follows:\n\nInput:\nThe first line of the input contains a single integer n (1 ≤ n ≤ 50).\n\nThe i-th of next n lines contains an integer ti and a string diri (1 ≤ ti ≤ 106, $${ dir } _ { i } \\in \\{ \\mathrm { N o r t h, ~ S o u t h, ~ W e s t, ~ E a s t } \\}$$) — the length and the direction of the i-th part of the journey, according to the description Limak got.\nOutput:\nPrint \"YES\" if the description satisfies the three conditions, otherwise print \"NO\", both without the quotes.\n\nHere are some example input and output pairs:\n\n[{\"input\": \"5\\n7500 South\\n10000 East\\n3500 North\\n4444 West\\n4000 North\", \"output\": \"YES\"}, {\"input\": \"2\\n15000 South\\n4000 East\", \"output\": \"NO\"}, {\"input\": \"5\\n20000 South\\n1000 North\\n1000000 West\\n9000 North\\n10000 North\", \"output\": \"YES\"}, {\"input\": \"3\\n20000 South\\n10 East\\n20000 North\", \"output\": \"NO\"}, {\"input\": \"2\\n1000 North\\n1000 South\", \"output\": \"NO\"}, {\"input\": \"4\\n50 South\\n50 North\\n15000 South\\n15000 North\", \"output\": \"YES\"}, {\"input\": \"2\\r\\n18048 South\\r\\n15452 West\\r\\n\", \"output\": \"NO\\r\\n\"}, {\"input\": \"3\\r\\n3563 South\\r\\n2427 South\\r\\n5990 North\\r\\n\", \"output\": \"YES\\r\\n\"}, {\"input\": \"4\\r\\n19701 South\\r\\n13458 South\\r\\n3156 North\\r\\n30003 North\\r\\n\", \"output\": \"NO\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
"role": "user"
}
] |
{
"ground_truth": "{\"inputs\": [\"5\\r\\n7500 South\\r\\n10000 East\\r\\n3500 North\\r\\n4444 West\\r\\n4000 North\\r\\n\", \"2\\r\\n15000 South\\r\\n4000 East\\r\\n\", \"5\\r\\n20000 South\\r\\n1000 North\\r\\n1000000 West\\r\\n9000 North\\r\\n10000 North\\r\\n\", \"3\\r\\n20000 South\\r\\n10 East\\r\\n20000 North\\r\\n\", \"2\\r\\n1000 North\\r\\n1000 South\\r\\n\", \"4\\r\\n50 South\\r\\n50 North\\r\\n15000 South\\r\\n15000 North\\r\\n\", \"1\\r\\n1 South\\r\\n\", \"1\\r\\n1 East\\r\\n\", \"2\\r\\n1000000 South\\r\\n1000000 North\\r\\n\", \"1\\r\\n149 South\\r\\n\", \"1\\r\\n16277 East\\r\\n\", \"1\\r\\n19701 South\\r\\n\", \"1\\r\\n3125 South\\r\\n\", \"1\\r\\n6549 South\\r\\n\", \"1\\r\\n2677 South\\r\\n\", \"1\\r\\n6101 South\\r\\n\", \"1\\r\\n9525 South\\r\\n\", \"1\\r\\n5653 South\\r\\n\", \"2\\r\\n15072 South\\r\\n15072 North\\r\\n\", \"2\\r\\n11200 South\\r\\n11200 North\\r\\n\", \"2\\r\\n14624 South\\r\\n14624 North\\r\\n\", \"2\\r\\n18048 South\\r\\n15452 West\\r\\n\", \"2\\r\\n1472 West\\r\\n4930 North\\r\\n\", \"2\\r\\n17600 South\\r\\n17600 North\\r\\n\", \"2\\r\\n8320 East\\r\\n16589 East\\r\\n\", \"2\\r\\n4448 South\\r\\n4448 North\\r\\n\", \"2\\r\\n576 South\\r\\n576 North\\r\\n\", \"3\\r\\n14186 South\\r\\n2291 West\\r\\n14186 North\\r\\n\", \"3\\r\\n10314 South\\r\\n15961 North\\r\\n5647 South\\r\\n\", \"3\\r\\n1035 East\\r\\n18143 South\\r\\n18143 North\\r\\n\", \"3\\r\\n17163 South\\r\\n7620 East\\r\\n17163 North\\r\\n\", \"3\\r\\n587 South\\r\\n17098 North\\r\\n16511 South\\r\\n\", \"3\\r\\n16715 North\\r\\n6576 West\\r\\n12132 South\\r\\n\", \"3\\r\\n7435 South\\r\\n245 North\\r\\n7190 North\\r\\n\", \"3\\r\\n3563 South\\r\\n2427 South\\r\\n5990 North\\r\\n\", \"3\\r\\n6987 South\\r\\n11904 East\\r\\n19951 East\\r\\n\", \"4\\r\\n13301 South\\r\\n5948 East\\r\\n9265 East\\r\\n6891 North\\r\\n\", \"4\\r\\n16725 South\\r\\n8129 South\\r\\n19530 West\\r\\n24854 North\\r\\n\", \"4\\r\\n149 South\\r\\n17607 West\\r\\n18306 South\\r\\n18455 North\\r\\n\", \"4\\r\\n16277 South\\r\\n19789 North\\r\\n4379 South\\r\\n867 North\\r\\n\", \"4\\r\\n19701 South\\r\\n13458 South\\r\\n3156 North\\r\\n30003 North\\r\\n\", \"4\\r\\n3125 South\\r\\n15640 East\\r\\n6125 East\\r\\n19535 South\\r\\n\", \"4\\r\\n6549 East\\r\\n5118 North\\r\\n12198 East\\r\\n5118 South\\r\\n\", \"4\\r\\n2677 East\\r\\n1891 West\\r\\n10974 West\\r\\n7511 North\\r\\n\", \"4\\r\\n6102 South\\r\\n8265 East\\r\\n13943 South\\r\\n20045 North\\r\\n\", \"5\\r\\n12416 South\\r\\n18116 North\\r\\n10553 West\\r\\n18435 West\\r\\n5700 South\\r\\n\", \"5\\r\\n15840 South\\r\\n7594 South\\r\\n13522 South\\r\\n2423 South\\r\\n3334 West\\r\\n\", \"5\\r\\n19264 East\\r\\n13968 East\\r\\n19595 North\\r\\n19115 North\\r\\n38710 South\\r\\n\", \"5\\r\\n15392 South\\r\\n3445 North\\r\\n18372 East\\r\\n10399 North\\r\\n4403 South\\r\\n\", \"5\\r\\n18816 South\\r\\n5627 West\\r\\n14045 East\\r\\n7091 East\\r\\n18816 North\\r\\n\", \"5\\r\\n2240 South\\r\\n15104 North\\r\\n118 West\\r\\n11079 East\\r\\n12864 South\\r\\n\", \"5\\r\\n5664 South\\r\\n1478 South\\r\\n18894 South\\r\\n2363 West\\r\\n26036 North\\r\\n\", \"5\\r\\n1792 South\\r\\n10956 East\\r\\n9159 South\\r\\n19055 West\\r\\n10951 North\\r\\n\", \"5\\r\\n12512 South\\r\\n13137 North\\r\\n7936 North\\r\\n7235 South\\r\\n1326 South\\r\\n\", \"6\\r\\n14635 North\\r\\n14477 South\\r\\n17250 North\\r\\n14170 East\\r\\n15166 South\\r\\n2242 South\\r\\n\", \"6\\r\\n10763 North\\r\\n3954 West\\r\\n7515 North\\r\\n18158 West\\r\\n6644 South\\r\\n11634 South\\r\\n\", \"6\\r\\n14187 South\\r\\n13432 North\\r\\n6292 East\\r\\n14850 West\\r\\n10827 South\\r\\n9639 East\\r\\n\", \"6\\r\\n10315 South\\r\\n15614 South\\r\\n5069 West\\r\\n6134 South\\r\\n7713 North\\r\\n24350 North\\r\\n\", \"6\\r\\n1035 South\\r\\n9283 East\\r\\n15333 South\\r\\n2826 South\\r\\n19191 North\\r\\n3 North\\r\\n\", \"6\\r\\n17163 West\\r\\n11465 North\\r\\n14110 South\\r\\n6814 North\\r\\n3373 East\\r\\n4169 South\\r\\n\", \"6\\r\\n587 South\\r\\n942 West\\r\\n183 North\\r\\n18098 North\\r\\n260 East\\r\\n17694 South\\r\\n\", \"6\\r\\n16715 West\\r\\n3124 East\\r\\n3152 East\\r\\n14790 East\\r\\n11738 West\\r\\n11461 East\\r\\n\", \"6\\r\\n7435 South\\r\\n12602 South\\r\\n1929 East\\r\\n6074 East\\r\\n15920 West\\r\\n20037 North\\r\\n\", \"7\\r\\n13750 South\\r\\n6645 South\\r\\n18539 East\\r\\n5713 North\\r\\n1580 North\\r\\n10012 West\\r\\n13102 North\\r\\n\", \"7\\r\\n9878 West\\r\\n8827 East\\r\\n1508 West\\r\\n9702 North\\r\\n5763 North\\r\\n9755 North\\r\\n10034 South\\r\\n\", \"7\\r\\n13302 West\\r\\n2496 North\\r\\n284 West\\r\\n6394 East\\r\\n9945 North\\r\\n12603 West\\r\\n12275 North\\r\\n\", \"7\\r\\n16726 East\\r\\n19270 West\\r\\n6357 South\\r\\n17678 East\\r\\n14127 East\\r\\n12347 South\\r\\n6005 East\\r\\n\", \"7\\r\\n150 South\\r\\n1452 North\\r\\n9326 North\\r\\n1666 West\\r\\n18309 East\\r\\n19386 East\\r\\n8246 West\\r\\n\", \"7\\r\\n16278 South\\r\\n10929 South\\r\\n8103 East\\r\\n18358 West\\r\\n2492 West\\r\\n11834 South\\r\\n39041 North\\r\\n\", \"7\\r\\n19702 South\\r\\n13111 East\\r\\n6880 East\\r\\n9642 South\\r\\n6674 West\\r\\n18874 East\\r\\n1112 North\\r\\n\", \"7\\r\\n3126 South\\r\\n6780 North\\r\\n9848 West\\r\\n6334 North\\r\\n10856 West\\r\\n14425 West\\r\\n10649 East\\r\\n\", \"7\\r\\n6550 South\\r\\n8962 West\\r\\n15921 South\\r\\n17618 North\\r\\n15038 South\\r\\n1465 North\\r\\n18426 North\\r\\n\", \"8\\r\\n12864 South\\r\\n3005 West\\r\\n16723 West\\r\\n17257 West\\r\\n12187 East\\r\\n12976 South\\r\\n1598 North\\r\\n24242 North\\r\\n\", \"8\\r\\n8992 South\\r\\n12483 North\\r\\n15500 South\\r\\n1245 South\\r\\n9073 East\\r\\n12719 East\\r\\n3839 East\\r\\n7130 South\\r\\n\", \"8\\r\\n12416 North\\r\\n14665 South\\r\\n14277 North\\r\\n2129 South\\r\\n13255 East\\r\\n19759 South\\r\\n10272 West\\r\\n9860 North\\r\\n\", \"8\\r\\n15840 South\\r\\n4142 East\\r\\n17246 North\\r\\n13413 North\\r\\n4733 West\\r\\n15311 North\\r\\n12514 South\\r\\n17616 South\\r\\n\", \"8\\r\\n19264 South\\r\\n10516 North\\r\\n3319 East\\r\\n17401 East\\r\\n1620 West\\r\\n2350 West\\r\\n6243 North\\r\\n2505 North\\r\\n\", \"8\\r\\n15392 South\\r\\n7290 West\\r\\n2096 West\\r\\n14093 East\\r\\n5802 South\\r\\n2094 North\\r\\n8484 East\\r\\n19100 North\\r\\n\", \"8\\r\\n6113 South\\r\\n16767 East\\r\\n5064 South\\r\\n5377 West\\r\\n17280 South\\r\\n1838 West\\r\\n2213 West\\r\\n28457 North\\r\\n\", \"8\\r\\n2241 West\\r\\n18949 South\\r\\n11137 South\\r\\n2069 West\\r\\n14166 South\\r\\n1581 South\\r\\n4455 South\\r\\n50288 North\\r\\n\", \"8\\r\\n5665 South\\r\\n8426 East\\r\\n9914 North\\r\\n13353 South\\r\\n18349 North\\r\\n4429 East\\r\\n18184 North\\r\\n27429 South\\r\\n\", \"9\\r\\n11979 South\\r\\n2470 East\\r\\n10716 North\\r\\n12992 East\\r\\n15497 West\\r\\n15940 North\\r\\n8107 West\\r\\n18934 East\\r\\n6993 South\\r\\n\", \"9\\r\\n8107 South\\r\\n4652 North\\r\\n9493 North\\r\\n16980 West\\r\\n12383 West\\r\\n2980 West\\r\\n17644 South\\r\\n11043 West\\r\\n11447 North\\r\\n\", \"9\\r\\n18827 South\\r\\n18321 West\\r\\n8270 East\\r\\n968 West\\r\\n16565 West\\r\\n15427 North\\r\\n4077 North\\r\\n18960 North\\r\\n19006 West\\r\\n\", \"9\\r\\n14955 West\\r\\n503 North\\r\\n18535 West\\r\\n4956 South\\r\\n8044 South\\r\\n2467 East\\r\\n13615 East\\r\\n6877 East\\r\\n3460 North\\r\\n\", \"9\\r\\n18379 South\\r\\n9980 South\\r\\n17311 West\\r\\n8944 South\\r\\n4930 South\\r\\n18019 South\\r\\n48 West\\r\\n14794 South\\r\\n75046 North\\r\\n\", \"9\\r\\n14507 East\\r\\n12162 East\\r\\n16088 South\\r\\n5636 North\\r\\n9112 North\\r\\n5058 East\\r\\n9585 South\\r\\n2712 East\\r\\n10925 North\\r\\n\", \"9\\r\\n5227 East\\r\\n8936 North\\r\\n6353 North\\r\\n16920 North\\r\\n591 North\\r\\n4802 South\\r\\n8722 North\\r\\n3333 West\\r\\n36720 South\\r\\n\", \"9\\r\\n1355 North\\r\\n15309 West\\r\\n17834 North\\r\\n13612 East\\r\\n17477 North\\r\\n4546 North\\r\\n18260 East\\r\\n15442 North\\r\\n56654 South\\r\\n\", \"9\\r\\n4779 South\\r\\n4787 East\\r\\n3907 East\\r\\n4896 East\\r\\n1659 East\\r\\n4289 West\\r\\n4693 West\\r\\n3359 East\\r\\n4779 North\\r\\n\", \"1\\r\\n80000 South\\r\\n\", \"2\\r\\n40000 South\\r\\n20000 North\\r\\n\", \"1\\r\\n40000 South\\r\\n\", \"2\\r\\n20001 South\\r\\n20001 North\\r\\n\", \"4\\r\\n10000 South\\r\\n20000 South\\r\\n10000 North\\r\\n20000 North\\r\\n\", \"3\\r\\n10 South\\r\\n20 North\\r\\n10 North\\r\\n\", \"3\\r\\n1000 South\\r\\n1001 North\\r\\n1 North\\r\\n\", \"2\\r\\n20000 South\\r\\n20000 West\\r\\n\", \"3\\r\\n10000 South\\r\\n20000 South\\r\\n10000 North\\r\\n\", \"2\\r\\n1 East\\r\\n1 North\\r\\n\", \"2\\r\\n20000 West\\r\\n20000 West\\r\\n\", \"2\\r\\n80000 South\\r\\n20000 North\\r\\n\", \"2\\r\\n19999 South\\r\\n20001 South\\r\\n\", \"3\\r\\n500 South\\r\\n1000 North\\r\\n500 North\\r\\n\", \"1\\r\\n400000 South\\r\\n\", \"2\\r\\n40000 South\\r\\n80000 North\\r\\n\", \"2\\r\\n100 West\\r\\n100 North\\r\\n\", \"2\\r\\n40000 South\\r\\n40000 North\\r\\n\", \"2\\r\\n30000 South\\r\\n10000 North\\r\\n\", \"2\\r\\n20000 South\\r\\n40000 North\\r\\n\", \"10\\r\\n20000 South\\r\\n20000 North\\r\\n20000 South\\r\\n20000 North\\r\\n20000 South\\r\\n20000 North\\r\\n20000 South\\r\\n20000 North\\r\\n20000 South\\r\\n20000 North\\r\\n\", \"2\\r\\n40001 South\\r\\n40001 North\\r\\n\", \"2\\r\\n40001 South\\r\\n1 North\\r\\n\", \"2\\r\\n50000 South\\r\\n50000 North\\r\\n\", \"2\\r\\n30000 South\\r\\n30000 South\\r\\n\", \"2\\r\\n10000 South\\r\\n50000 North\\r\\n\", \"4\\r\\n15000 South\\r\\n15000 South\\r\\n15000 North\\r\\n15000 North\\r\\n\", \"3\\r\\n50 South\\r\\n100 North\\r\\n50 North\\r\\n\", \"2\\r\\n20001 South\\r\\n1 North\\r\\n\", \"3\\r\\n5 South\\r\\n6 North\\r\\n1 South\\r\\n\", \"1\\r\\n20000 South\\r\\n\", \"4\\r\\n1 South\\r\\n20000 South\\r\\n1 North\\r\\n20000 North\\r\\n\", \"2\\r\\n30000 South\\r\\n30000 North\\r\\n\", \"3\\r\\n1 South\\r\\n2 North\\r\\n1 South\\r\\n\", \"2\\r\\n60000 South\\r\\n60000 North\\r\\n\", \"2\\r\\n50000 South\\r\\n10000 North\\r\\n\", \"1\\r\\n5 North\\r\\n\", \"2\\r\\n20010 South\\r\\n19990 North\\r\\n\", \"3\\r\\n20000 South\\r\\n1 South\\r\\n20000 North\\r\\n\", \"3\\r\\n1 South\\r\\n2 North\\r\\n39999 North\\r\\n\", \"3\\r\\n10 South\\r\\n20 North\\r\\n10 South\\r\\n\", \"3\\r\\n1 South\\r\\n2 North\\r\\n1 North\\r\\n\", \"3\\r\\n2000 South\\r\\n19000 South\\r\\n19000 South\\r\\n\", \"6\\r\\n15000 South\\r\\n15000 South\\r\\n15000 South\\r\\n15000 North\\r\\n15000 North\\r\\n15000 North\\r\\n\", \"3\\r\\n1 South\\r\\n1 North\\r\\n1 East\\r\\n\", \"2\\r\\n1 West\\r\\n1 North\\r\\n\", \"3\\r\\n1 South\\r\\n123456 West\\r\\n1 North\\r\\n\"], \"outputs\": [\"YES\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"YES\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"YES\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"NO\\r\\n\", \"YES\\r\\n\"]}",
"style": "rule"
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zpo_codearc
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{"itemid": 73}
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[
{
"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nVova again tries to play some computer card game.\n\nThe rules of deck creation in this game are simple. Vova is given an existing deck of n cards and a magic number k. The order of the cards in the deck is fixed. Each card has a number written on it; number ai is written on the i-th card in the deck.\n\nAfter receiving the deck and the magic number, Vova removes x (possibly x = 0) cards from the top of the deck, y (possibly y = 0) cards from the bottom of the deck, and the rest of the deck is his new deck (Vova has to leave at least one card in the deck after removing cards). So Vova's new deck actually contains cards x + 1, x + 2, ... n - y - 1, n - y from the original deck.\n\nVova's new deck is considered valid iff the product of all numbers written on the cards in his new deck is divisible by k. So Vova received a deck (possibly not a valid one) and a number k, and now he wonders, how many ways are there to choose x and y so the deck he will get after removing x cards from the top and y cards from the bottom is valid?\n\nThe input and output requirements are as follows:\n\nInput:\nThe first line contains two integers n and k (1 ≤ n ≤ 100 000, 1 ≤ k ≤ 109).\n\nThe second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109) — the numbers written on the cards.\nOutput:\nPrint the number of ways to choose x and y so the resulting deck is valid.\n\nHere are some example input and output pairs:\n\n[{\"input\": \"3 4\\n6 2 8\", \"output\": \"4\"}, {\"input\": \"3 6\\n9 1 14\", \"output\": \"1\"}, {\"input\": \"6 3\\r\\n2 2 2 2 1 2\\r\\n\", \"output\": \"0\\r\\n\"}, {\"input\": \"6 4\\r\\n1 3 3 3 3 2\\r\\n\", \"output\": \"0\\r\\n\"}, {\"input\": \"2 1\\r\\n1 1\\r\\n\", \"output\": \"3\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
"role": "user"
}
] |
{
"ground_truth": "{\"inputs\": [\"3 4\\r\\n6 2 8\\r\\n\", \"3 6\\r\\n9 1 14\\r\\n\", \"5 1\\r\\n1 3 1 3 1\\r\\n\", \"5 1\\r\\n5 5 5 5 5\\r\\n\", \"5 1\\r\\n5 4 4 4 4\\r\\n\", \"100 1\\r\\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\\r\\n\", \"100 1\\r\\n3 3 2 1 1 2 1 2 3 4 1 5 2 4 5 1 1 3 2 3 4 2 1 3 4 4 5 5 1 5 2 5 3 3 1 1 1 3 2 2 3 4 4 4 4 3 1 3 5 3 3 3 3 2 3 2 2 3 3 1 2 4 3 2 2 5 3 1 5 2 2 5 1 2 1 1 5 1 5 2 4 5 3 4 2 5 4 2 2 5 5 5 3 3 5 3 4 3 3 1\\r\\n\", \"100 5\\r\\n4 4 3 2 4 4 1 2 2 1 5 3 2 5 5 3 2 3 4 5 2 2 3 4 2 4 3 1 2 3 5 5 1 3 3 5 2 3 3 4 1 3 1 5 4 4 2 1 5 1 4 4 1 5 1 1 5 5 5 4 1 3 1 2 3 2 4 5 5 1 3 4 3 3 1 2 2 4 1 5 1 1 2 4 4 4 5 5 5 3 4 3 3 3 3 2 1 1 5 5\\r\\n\", \"100 6\\r\\n4 4 1 1 1 1 3 3 5 5 4 2 2 4 3 4 4 5 5 4 5 1 3 1 5 4 5 1 2 5 5 2 2 4 2 4 4 2 5 5 3 3 1 3 3 5 2 3 1 4 1 4 4 1 5 5 1 2 3 2 3 3 5 3 4 2 3 4 3 1 5 3 5 5 3 5 4 4 3 1 1 2 1 2 1 3 2 4 3 2 1 4 3 1 1 5 1 5 4 3\\r\\n\", \"100 72\\r\\n8 8 7 9 6 1 4 5 3 7 5 10 5 4 1 3 4 1 3 1 6 6 4 5 4 5 6 1 10 7 9 1 6 10 6 6 9 3 3 4 5 9 4 9 8 1 5 9 3 7 1 8 5 2 1 1 7 7 7 6 6 4 2 9 10 2 8 3 1 1 4 8 5 9 7 10 9 4 2 3 7 7 6 7 8 5 1 3 8 5 1 8 9 10 3 7 1 8 10 5\\r\\n\", \"100 72\\r\\n3 2 1 3 3 3 4 3 5 5 2 5 1 2 2 2 1 4 1 5 1 4 5 4 3 1 4 3 4 4 1 4 4 3 4 1 4 4 5 2 2 3 3 5 4 5 4 2 4 3 1 1 1 4 5 5 3 1 5 3 4 4 5 3 5 1 4 3 2 2 1 4 2 1 3 2 4 2 1 4 4 1 3 4 4 4 1 5 5 2 5 2 3 1 5 1 1 1 2 3\\r\\n\", \"2 999634589\\r\\n31607 31627\\r\\n\", \"1 1\\r\\n1\\r\\n\", \"1 2\\r\\n1\\r\\n\", \"1 3\\r\\n1\\r\\n\", \"1 4\\r\\n1\\r\\n\", \"1 5\\r\\n3\\r\\n\", \"1 6\\r\\n4\\r\\n\", \"1 7\\r\\n2\\r\\n\", \"1 8\\r\\n3\\r\\n\", \"1 9\\r\\n5\\r\\n\", \"1 10\\r\\n3\\r\\n\", \"2 1\\r\\n1 1\\r\\n\", \"2 2\\r\\n2 2\\r\\n\", \"2 3\\r\\n1 2\\r\\n\", \"2 4\\r\\n1 2\\r\\n\", \"2 5\\r\\n1 1\\r\\n\", \"2 6\\r\\n2 1\\r\\n\", \"2 7\\r\\n1 4\\r\\n\", \"2 8\\r\\n5 3\\r\\n\", \"2 9\\r\\n2 2\\r\\n\", \"2 10\\r\\n6 1\\r\\n\", \"3 1\\r\\n1 1 1\\r\\n\", \"3 2\\r\\n2 2 1\\r\\n\", \"3 3\\r\\n2 1 2\\r\\n\", \"3 4\\r\\n2 2 2\\r\\n\", \"3 5\\r\\n1 1 2\\r\\n\", \"3 6\\r\\n4 3 2\\r\\n\", \"3 7\\r\\n3 4 1\\r\\n\", \"3 8\\r\\n5 1 4\\r\\n\", \"3 9\\r\\n3 2 1\\r\\n\", \"3 10\\r\\n6 5 5\\r\\n\", \"4 1\\r\\n1 1 1 1\\r\\n\", \"4 2\\r\\n2 2 1 2\\r\\n\", \"4 3\\r\\n2 1 1 1\\r\\n\", \"4 4\\r\\n2 2 1 1\\r\\n\", \"4 5\\r\\n2 3 2 1\\r\\n\", \"4 6\\r\\n1 1 3 3\\r\\n\", \"4 7\\r\\n1 1 2 2\\r\\n\", \"4 8\\r\\n5 4 5 5\\r\\n\", \"4 9\\r\\n1 1 4 2\\r\\n\", \"4 10\\r\\n2 6 2 1\\r\\n\", \"5 1\\r\\n1 1 1 1 1\\r\\n\", \"5 2\\r\\n2 2 1 2 1\\r\\n\", \"5 3\\r\\n2 1 1 2 1\\r\\n\", \"5 4\\r\\n2 2 1 3 1\\r\\n\", \"5 5\\r\\n2 3 1 1 3\\r\\n\", \"5 6\\r\\n3 4 3 4 3\\r\\n\", \"5 7\\r\\n3 1 3 2 4\\r\\n\", \"5 8\\r\\n2 2 3 3 1\\r\\n\", \"5 9\\r\\n3 1 3 3 4\\r\\n\", \"5 10\\r\\n3 6 6 1 5\\r\\n\", \"6 1\\r\\n1 1 1 1 1 1\\r\\n\", \"6 2\\r\\n1 2 2 1 1 1\\r\\n\", \"6 3\\r\\n2 2 2 2 1 2\\r\\n\", \"6 4\\r\\n1 3 3 3 3 2\\r\\n\", \"6 5\\r\\n2 3 3 2 1 2\\r\\n\", \"6 6\\r\\n1 2 4 1 4 4\\r\\n\", \"6 7\\r\\n2 2 4 3 2 1\\r\\n\", \"6 8\\r\\n3 2 3 5 5 3\\r\\n\", \"6 9\\r\\n1 4 1 2 1 1\\r\\n\", \"6 10\\r\\n1 2 5 6 6 6\\r\\n\", \"7 1\\r\\n1 1 1 1 1 1 1\\r\\n\", \"7 2\\r\\n1 1 2 2 2 2 1\\r\\n\", \"7 3\\r\\n2 2 1 1 2 2 2\\r\\n\", \"7 4\\r\\n3 2 1 2 1 1 1\\r\\n\", \"7 5\\r\\n2 3 3 3 2 3 2\\r\\n\", \"7 6\\r\\n3 4 4 1 4 3 2\\r\\n\", \"7 7\\r\\n4 2 4 4 1 4 4\\r\\n\", \"7 8\\r\\n4 4 2 4 2 5 3\\r\\n\", \"7 9\\r\\n2 1 3 4 4 5 4\\r\\n\", \"7 10\\r\\n6 3 3 5 3 6 1\\r\\n\", \"8 1\\r\\n1 1 1 1 1 1 1 1\\r\\n\", \"8 2\\r\\n1 1 1 1 1 1 1 2\\r\\n\", \"8 3\\r\\n1 1 2 2 1 1 2 2\\r\\n\", \"8 4\\r\\n2 3 2 3 3 3 2 3\\r\\n\", \"8 5\\r\\n1 3 1 2 2 2 1 3\\r\\n\", \"8 6\\r\\n4 2 4 2 1 2 1 4\\r\\n\", \"8 7\\r\\n2 2 1 4 4 4 2 2\\r\\n\", \"8 8\\r\\n5 2 1 2 4 2 2 4\\r\\n\", \"8 9\\r\\n4 4 2 2 5 5 4 1\\r\\n\", \"8 10\\r\\n2 1 4 4 3 4 4 6\\r\\n\", \"9 1\\r\\n1 1 1 1 1 1 1 1 1\\r\\n\", \"9 2\\r\\n1 1 1 2 1 1 2 2 2\\r\\n\", \"9 3\\r\\n1 1 1 2 2 1 1 2 1\\r\\n\", \"9 4\\r\\n1 1 2 1 2 1 1 1 1\\r\\n\", \"9 5\\r\\n3 2 3 2 3 1 1 3 2\\r\\n\", \"9 6\\r\\n2 1 1 3 2 4 1 2 2\\r\\n\", \"9 7\\r\\n4 3 2 1 2 3 3 4 4\\r\\n\", \"9 8\\r\\n5 5 2 1 3 1 3 1 3\\r\\n\", \"9 9\\r\\n2 4 1 4 4 3 3 4 1\\r\\n\", \"9 10\\r\\n4 3 2 5 2 2 2 2 6\\r\\n\", \"10 1\\r\\n1 1 1 1 1 1 1 1 1 1\\r\\n\", \"10 2\\r\\n2 2 2 2 2 2 2 1 2 1\\r\\n\", \"10 3\\r\\n2 2 1 1 2 2 2 2 1 2\\r\\n\", \"10 4\\r\\n1 1 2 3 3 1 2 2 2 3\\r\\n\", \"10 5\\r\\n3 3 2 2 3 1 1 1 3 1\\r\\n\", \"10 6\\r\\n4 4 4 3 2 1 1 1 2 4\\r\\n\", \"10 7\\r\\n4 2 2 2 3 3 2 4 4 3\\r\\n\", \"10 8\\r\\n5 4 1 4 3 2 1 2 3 3\\r\\n\", \"10 9\\r\\n1 2 3 4 5 2 3 5 5 4\\r\\n\", \"10 10\\r\\n5 3 2 5 1 2 5 1 5 1\\r\\n\", \"1 1000000000\\r\\n1\\r\\n\", \"1 1000000000\\r\\n1000000000\\r\\n\", \"1 100000000\\r\\n1000000000\\r\\n\", \"1 1\\r\\n1000000000\\r\\n\"], \"outputs\": [\"4\\r\\n\", \"1\\r\\n\", \"15\\r\\n\", \"15\\r\\n\", \"15\\r\\n\", \"5050\\r\\n\", \"5050\\r\\n\", \"4713\\r\\n\", \"4580\\r\\n\", \"4549\\r\\n\", \"4123\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"3\\r\\n\", \"3\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"6\\r\\n\", \"5\\r\\n\", \"0\\r\\n\", \"3\\r\\n\", \"0\\r\\n\", \"3\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"2\\r\\n\", \"10\\r\\n\", \"9\\r\\n\", \"0\\r\\n\", \"3\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"15\\r\\n\", \"13\\r\\n\", \"0\\r\\n\", \"4\\r\\n\", \"0\\r\\n\", \"10\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"7\\r\\n\", \"3\\r\\n\", \"21\\r\\n\", \"14\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"11\\r\\n\", \"28\\r\\n\", \"24\\r\\n\", \"0\\r\\n\", \"8\\r\\n\", \"0\\r\\n\", \"15\\r\\n\", \"0\\r\\n\", \"18\\r\\n\", \"0\\r\\n\", \"10\\r\\n\", \"36\\r\\n\", \"8\\r\\n\", \"0\\r\\n\", \"10\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"21\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"45\\r\\n\", \"36\\r\\n\", \"0\\r\\n\", \"15\\r\\n\", \"0\\r\\n\", \"21\\r\\n\", \"0\\r\\n\", \"0\\r\\n\", \"18\\r\\n\", \"23\\r\\n\", \"55\\r\\n\", \"53\\r\\n\", \"0\\r\\n\", \"26\\r\\n\", \"0\\r\\n\", \"27\\r\\n\", \"0\\r\\n\", \"24\\r\\n\", \"12\\r\\n\", \"35\\r\\n\", \"0\\r\\n\", \"1\\r\\n\", \"1\\r\\n\", \"1\\r\\n\"]}",
"style": "rule"
}
|
zpo_codearc
|
{"itemid": 77}
|
[
{
"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nIn a far away kingdom lived the King, the Prince, the Shoemaker, the Dressmaker and many other citizens. They lived happily until great trouble came into the Kingdom. The ACMers settled there.\n\nMost damage those strange creatures inflicted upon the kingdom was that they loved high precision numbers. As a result, the Kingdom healers had already had three appointments with the merchants who were asked to sell, say, exactly 0.273549107 beer barrels. To deal with the problem somehow, the King issued an order obliging rounding up all numbers to the closest integer to simplify calculations. Specifically, the order went like this:\n\n- If a number's integer part does not end with digit 9 and its fractional part is strictly less than 0.5, then the rounded up number coincides with the number’s integer part.\n- If a number's integer part does not end with digit 9 and its fractional part is not less than 0.5, the rounded up number is obtained if we add 1 to the last digit of the number’s integer part.\n- If the number’s integer part ends with digit 9, to round up the numbers one should go to Vasilisa the Wise. In the whole Kingdom she is the only one who can perform the tricky operation of carrying into the next position.\n\nMerchants found the algorithm very sophisticated and they asked you (the ACMers) to help them. Can you write a program that would perform the rounding according to the King’s order?\n\nThe input and output requirements are as follows:\n\nInput:\nThe first line contains a single number to round up — the integer part (a non-empty set of decimal digits that do not start with 0 — with the exception of a case when the set consists of a single digit — in this case 0 can go first), then follows character «.» (a dot), and then follows the fractional part (any non-empty set of decimal digits). The number's length does not exceed 1000 characters, including the dot. There are no other characters in the input data.\nOutput:\nIf the last number of the integer part is not equal to 9, print the rounded-up number without leading zeroes. Otherwise, print the message \"GOTO Vasilisa.\" (without the quotes).\n\nHere are some example input and output pairs:\n\n[{\"input\": \"0.0\", \"output\": \"0\"}, {\"input\": \"1.49\", \"output\": \"1\"}, {\"input\": \"1.50\", \"output\": \"2\"}, {\"input\": \"2.71828182845904523536\", \"output\": \"3\"}, {\"input\": \"3.14159265358979323846\", \"output\": \"3\"}, {\"input\": \"12345678901234567890.1\", \"output\": \"12345678901234567890\"}, {\"input\": \"123456789123456789.999\", \"output\": \"GOTO Vasilisa.\"}, {\"input\": \"2.1\\r\\n\", \"output\": \"2\"}, {\"input\": \"1.7\\r\\n\", \"output\": \"2\"}, {\"input\": \"4.8\\r\\n\", \"output\": \"5\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
"role": "user"
}
] |
{
"ground_truth": "{\"inputs\": [\"0.0\\r\\n\", \"1.49\\r\\n\", \"1.50\\r\\n\", \"2.71828182845904523536\\r\\n\", \"3.14159265358979323846\\r\\n\", \"12345678901234567890.1\\r\\n\", \"123456789123456789.999\\r\\n\", \"12345678901234567890.9\\r\\n\", \"123456789123456788.999\\r\\n\", \"9.000\\r\\n\", \"0.1\\r\\n\", \"0.2\\r\\n\", \"0.3\\r\\n\", \"0.4\\r\\n\", \"0.5\\r\\n\", \"0.6\\r\\n\", \"0.7\\r\\n\", \"0.8\\r\\n\", \"0.9\\r\\n\", \"1.0\\r\\n\", \"1.1\\r\\n\", \"1.2\\r\\n\", \"1.3\\r\\n\", \"1.4\\r\\n\", \"1.5\\r\\n\", \"1.6\\r\\n\", \"1.7\\r\\n\", \"1.8\\r\\n\", \"1.9\\r\\n\", \"2.0\\r\\n\", \"2.1\\r\\n\", \"2.2\\r\\n\", \"2.3\\r\\n\", \"2.4\\r\\n\", \"2.5\\r\\n\", \"2.6\\r\\n\", \"2.7\\r\\n\", \"2.8\\r\\n\", \"2.9\\r\\n\", \"3.0\\r\\n\", \"3.1\\r\\n\", \"3.2\\r\\n\", \"3.3\\r\\n\", \"3.4\\r\\n\", \"3.5\\r\\n\", \"3.6\\r\\n\", \"3.7\\r\\n\", \"3.8\\r\\n\", \"3.9\\r\\n\", \"4.0\\r\\n\", \"4.1\\r\\n\", \"4.2\\r\\n\", \"4.3\\r\\n\", \"4.4\\r\\n\", \"4.5\\r\\n\", \"4.6\\r\\n\", \"4.7\\r\\n\", \"4.8\\r\\n\", \"4.9\\r\\n\", \"5.0\\r\\n\", \"5.1\\r\\n\", \"5.2\\r\\n\", \"5.3\\r\\n\", \"5.4\\r\\n\", \"5.5\\r\\n\", \"5.6\\r\\n\", \"5.7\\r\\n\", \"5.8\\r\\n\", \"5.9\\r\\n\", \"6.0\\r\\n\", \"6.1\\r\\n\", \"6.2\\r\\n\", \"6.3\\r\\n\", \"6.4\\r\\n\", \"6.5\\r\\n\", \"6.6\\r\\n\", \"6.7\\r\\n\", \"6.8\\r\\n\", \"6.9\\r\\n\", \"7.0\\r\\n\", \"7.1\\r\\n\", \"7.2\\r\\n\", \"7.3\\r\\n\", \"7.4\\r\\n\", \"7.5\\r\\n\", \"7.6\\r\\n\", \"7.7\\r\\n\", \"7.8\\r\\n\", \"7.9\\r\\n\", \"8.0\\r\\n\", \"8.1\\r\\n\", \"8.2\\r\\n\", \"8.3\\r\\n\", \"8.4\\r\\n\", \"8.5\\r\\n\", \"8.6\\r\\n\", \"8.7\\r\\n\", \"8.8\\r\\n\", \"8.9\\r\\n\", \"9.0\\r\\n\", \"9.1\\r\\n\", \"9.2\\r\\n\", \"9.3\\r\\n\", \"9.4\\r\\n\", \"9.5\\r\\n\", \"9.6\\r\\n\", \"9.7\\r\\n\", \"9.8\\r\\n\", \"9.9\\r\\n\", \"7536521504744364134984603189602839063535643888645969434165019366202558753840519.4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999\\r\\n\", \"646188694587964249318078225173.5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\\r\\n\", \"7017472758334494297677068672222822550374695787171163207025095950296957261530.50\\r\\n\", \"41203422675619090661099806687619.49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999\\r\\n\"], \"outputs\": [\"0\", \"1\", \"2\", \"3\", \"3\", \"12345678901234567890\", \"GOTO Vasilisa.\", \"12345678901234567891\", \"123456789123456789\", \"GOTO Vasilisa.\", \"0\", \"0\", \"0\", \"0\", \"1\", \"1\", \"1\", \"1\", \"1\", \"1\", \"1\", \"1\", \"1\", \"1\", \"2\", \"2\", \"2\", \"2\", \"2\", \"2\", \"2\", \"2\", \"2\", \"2\", \"3\", \"3\", \"3\", \"3\", \"3\", \"3\", \"3\", \"3\", \"3\", \"3\", \"4\", \"4\", \"4\", \"4\", \"4\", \"4\", \"4\", \"4\", \"4\", \"4\", \"5\", \"5\", \"5\", \"5\", \"5\", \"5\", \"5\", \"5\", \"5\", \"5\", \"6\", \"6\", \"6\", \"6\", \"6\", \"6\", \"6\", \"6\", \"6\", \"6\", \"7\", \"7\", \"7\", \"7\", \"7\", \"7\", \"7\", \"7\", \"7\", \"7\", \"8\", \"8\", \"8\", \"8\", \"8\", \"8\", \"8\", \"8\", \"8\", \"8\", \"9\", \"9\", \"9\", \"9\", \"9\", \"GOTO Vasilisa.\", \"GOTO Vasilisa.\", \"GOTO Vasilisa.\", \"GOTO Vasilisa.\", \"GOTO Vasilisa.\", \"GOTO Vasilisa.\", \"GOTO Vasilisa.\", \"GOTO Vasilisa.\", \"GOTO Vasilisa.\", \"GOTO Vasilisa.\", \"GOTO Vasilisa.\", \"646188694587964249318078225174\", \"7017472758334494297677068672222822550374695787171163207025095950296957261531\", \"GOTO Vasilisa.\"]}",
"style": "rule"
}
|
zpo_codearc
|
{"itemid": 79}
|
[
{
"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nAfter the big birthday party, Katie still wanted Shiro to have some more fun. Later, she came up with a game called treasure hunt. Of course, she invited her best friends Kuro and Shiro to play with her.\n\nThe three friends are very smart so they passed all the challenges very quickly and finally reached the destination. But the treasure can only belong to one cat so they started to think of something which can determine who is worthy of the treasure. Instantly, Kuro came up with some ribbons.\n\nA random colorful ribbon is given to each of the cats. Each color of the ribbon can be represented as an uppercase or lowercase Latin letter. Let's call a consecutive subsequence of colors that appears in the ribbon a subribbon. The beauty of a ribbon is defined as the maximum number of times one of its subribbon appears in the ribbon. The more the subribbon appears, the more beautiful is the ribbon. For example, the ribbon aaaaaaa has the beauty of $$$7$$$ because its subribbon a appears $$$7$$$ times, and the ribbon abcdabc has the beauty of $$$2$$$ because its subribbon abc appears twice.\n\nThe rules are simple. The game will have $$$n$$$ turns. Every turn, each of the cats must change strictly one color (at one position) in his/her ribbon to an arbitrary color which is different from the unchanged one. For example, a ribbon aaab can be changed into acab in one turn. The one having the most beautiful ribbon after $$$n$$$ turns wins the treasure.\n\nCould you find out who is going to be the winner if they all play optimally?\n\nThe input and output requirements are as follows:\n\nInput:\nThe first line contains an integer $$$n$$$ ($$$0 \\leq n \\leq 10^{9}$$$) — the number of turns.\n\nNext 3 lines contain 3 ribbons of Kuro, Shiro and Katie one per line, respectively. Each ribbon is a string which contains no more than $$$10^{5}$$$ uppercase and lowercase Latin letters and is not empty. It is guaranteed that the length of all ribbons are equal for the purpose of fairness. Note that uppercase and lowercase letters are considered different colors.\nOutput:\nPrint the name of the winner (\"Kuro\", \"Shiro\" or \"Katie\"). If there are at least two cats that share the maximum beauty, print \"Draw\".\n\nHere are some example input and output pairs:\n\n[{\"input\": \"3\\nKuroo\\nShiro\\nKatie\", \"output\": \"Kuro\"}, {\"input\": \"7\\ntreasurehunt\\nthreefriends\\nhiCodeforces\", \"output\": \"Shiro\"}, {\"input\": \"1\\nabcabc\\ncbabac\\nababca\", \"output\": \"Katie\"}, {\"input\": \"15\\nfoPaErcvJ\\nmZaxowpbt\\nmkuOlaHRE\", \"output\": \"Draw\"}, {\"input\": \"4\\r\\naaa\\r\\nbbb\\r\\naab\\r\\n\", \"output\": \"Draw\\r\\n\"}, {\"input\": \"727\\r\\nbaabbabbbababbbbaaaabaabbaabababaaababaaababbbbababbbbbbbbbbaaabaabbbbbbbbaaaabaabbaaabaabbabaa\\r\\nddcdcccccccdccdcdccdddcddcddcddddcdddcdcdccddcdddddccddcccdcdddcdcccdccccccdcdcdccccccdccccccdc\\r\\nfffeefeffeefeeeeffefffeeefffeefffefeefefeeeffefefefefefefffffffeeeeeffffeefeeeeffffeeeeeefeffef\\r\\n\", \"output\": \"Draw\\r\\n\"}, {\"input\": \"5\\r\\naabbbbb\\r\\naaaaaaa\\r\\nabcdefg\\r\\n\", \"output\": \"Draw\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
"role": "user"
}
] |
{
"ground_truth": "{\"inputs\": [\"3\\r\\nKuroo\\r\\nShiro\\r\\nKatie\\r\\n\", \"7\\r\\ntreasurehunt\\r\\nthreefriends\\r\\nhiCodeforces\\r\\n\", \"1\\r\\nabcabc\\r\\ncbabac\\r\\nababca\\r\\n\", \"15\\r\\nfoPaErcvJ\\r\\nmZaxowpbt\\r\\nmkuOlaHRE\\r\\n\", \"1\\r\\naaaaaaaaaa\\r\\nAAAAAAcAAA\\r\\nbbbbbbzzbb\\r\\n\", \"60\\r\\nddcZYXYbZbcXYcZdYbddaddYaZYZdaZdZZdXaaYdaZZZaXZXXaaZbb\\r\\ndcdXcYbcaXYaXYcacYabYcbZYdacaYbYdXaccYXZZZdYbbYdcZZZbY\\r\\nXaZXbbdcXaadcYdYYcbZdcaXaYZabbXZZYbYbcXbaXabcXbXadbZYZ\\r\\n\", \"9174\\r\\nbzbbbzzzbbzzccczzccczzbzbzcbzbbzccbzcccbccczzbbcbbzbzzzcbczbzbzzbbbczbbcbzzzbcbzczbcczb\\r\\ndbzzzccdcdczzzzzcdczbbzcdzbcdbzzdczbzddcddbdbzzzczcczzbdcbbzccbzzzdzbzddcbzbdzdcczccbdb\\r\\nzdczddzcdddddczdczdczdcdzczddzczdzddczdcdcdzczczzdzccdccczczdzczczdzcdddzddzccddcczczzd\\r\\n\", \"727\\r\\nbaabbabbbababbbbaaaabaabbaabababaaababaaababbbbababbbbbbbbbbaaabaabbbbbbbbaaaabaabbaaabaabbabaa\\r\\nddcdcccccccdccdcdccdddcddcddcddddcdddcdcdccddcdddddccddcccdcdddcdcccdccccccdcdcdccccccdccccccdc\\r\\nfffeefeffeefeeeeffefffeeefffeefffefeefefeeeffefefefefefefffffffeeeeeffffeefeeeeffffeeeeeefeffef\\r\\n\", \"61\\r\\nbzqiqprzfwddqwctcrhnkqcsnbmcmfmrgaljwieajfouvuiunmfbrehxchupmsdpwilwu\\r\\njyxxujvxkwilikqeegzxlyiugflxqqbwbujzedqnlzucdnuipacatdhcozuvgktwvirhs\\r\\ntqiahohijwfcetyyjlkfhfvkhdgllxmhyyhhtlhltcdspusyhwpwqzyagtsbaswaobwub\\r\\n\", \"30\\r\\njAjcdwkvcTYSYBBLniJIIIiubKWnqeDtUiaXSIPfhDTOrCWBQetm\\r\\nPQPOTgqfBWzQvPNeEaUaPQGdUgldmOZsBtsIqZGGyXozntMpOsyY\\r\\nNPfvGxMqIULNWOmUrHJfsqORUHkzKQfecXsTzgFCmUtFmIBudCJr\\r\\n\", \"3\\r\\nabcabcabcabcdddabc\\r\\nzxytzytxxtytxyzxyt\\r\\nfgffghfghffgghghhh\\r\\n\", \"3\\r\\naaaaa\\r\\naaaaa\\r\\naaaab\\r\\n\", \"3\\r\\naaaaaaa\\r\\naaaabcd\\r\\nabcdefg\\r\\n\", \"3\\r\\naaaaaaa\\r\\naaabcde\\r\\nabcdefg\\r\\n\", \"3\\r\\naaaaaaa\\r\\naaaabbb\\r\\nabcdefg\\r\\n\", \"3\\r\\naaa\\r\\nbbb\\r\\nabc\\r\\n\", \"3\\r\\naaaaa\\r\\nabcde\\r\\nabcde\\r\\n\", \"3\\r\\naaaaa\\r\\nqwert\\r\\nlkjhg\\r\\n\", \"3\\r\\naaaaa\\r\\nbbbbb\\r\\naabcd\\r\\n\", \"3\\r\\nabcde\\r\\nfghij\\r\\nkkkkk\\r\\n\", \"4\\r\\naaaabcd\\r\\naaaabcd\\r\\naaaaaaa\\r\\n\", \"3\\r\\naaaabb\\r\\naabcde\\r\\nabcdef\\r\\n\", \"2\\r\\naaab\\r\\nabcd\\r\\naaaa\\r\\n\", \"3\\r\\naaaaaa\\r\\naaaaaa\\r\\nabcdef\\r\\n\", \"1\\r\\nAAAAA\\r\\nBBBBB\\r\\nABCDE\\r\\n\", \"1\\r\\nabcde\\r\\naaaaa\\r\\naaaaa\\r\\n\", \"4\\r\\naaabbb\\r\\nabfcde\\r\\nabfcde\\r\\n\", \"0\\r\\naaa\\r\\naab\\r\\nccd\\r\\n\", \"3\\r\\naaaaa\\r\\naaaaa\\r\\naabbb\\r\\n\", \"3\\r\\nxxxxxx\\r\\nxxxooo\\r\\nabcdef\\r\\n\", \"2\\r\\noooo\\r\\naaac\\r\\nabcd\\r\\n\", \"1\\r\\naaaaaaa\\r\\naaabcde\\r\\nabcdefg\\r\\n\", \"3\\r\\nooooo\\r\\naaabb\\r\\nabcde\\r\\n\", \"3\\r\\naaaaa\\r\\nqwert\\r\\nqwery\\r\\n\", \"2\\r\\naaaaaa\\r\\nbbbbbb\\r\\naaaaab\\r\\n\", \"3\\r\\naabb\\r\\naabb\\r\\naabc\\r\\n\", \"2\\r\\naaa\\r\\naab\\r\\naab\\r\\n\", \"3\\r\\nbbbbcc\\r\\nbbbbbb\\r\\nsadfgh\\r\\n\", \"3\\r\\naaaaaacc\\r\\nxxxxkkkk\\r\\nxxxxkkkk\\r\\n\", \"2\\r\\naaaac\\r\\nbbbbc\\r\\nccccc\\r\\n\", \"3\\r\\naaaaaaaaa\\r\\naaabbbbbb\\r\\nabcdewert\\r\\n\", \"3\\r\\naaabc\\r\\naaaab\\r\\nabcde\\r\\n\", \"3\\r\\naaaaaaaa\\r\\naaaaaaab\\r\\naaaabbbb\\r\\n\", \"2\\r\\nabcdefg\\r\\nabccccc\\r\\nacccccc\\r\\n\", \"3\\r\\naaaaa\\r\\naabcd\\r\\nabcde\\r\\n\", \"4\\r\\naaabbb\\r\\nabcdef\\r\\nabcdef\\r\\n\", \"4\\r\\naaabbb\\r\\naabdef\\r\\nabcdef\\r\\n\", \"3\\r\\nabba\\r\\nbbbb\\r\\naaaa\\r\\n\", \"3\\r\\naaaaa\\r\\nbbaaa\\r\\nabcde\\r\\n\", \"2\\r\\naaa\\r\\naaa\\r\\nabc\\r\\n\", \"3\\r\\naaaaa\\r\\nabcda\\r\\nabcde\\r\\n\", \"3\\r\\naaaaa\\r\\nabcde\\r\\nbcdef\\r\\n\", \"3\\r\\naaabb\\r\\naabbc\\r\\nqwert\\r\\n\", \"3\\r\\naaaaaa\\r\\naabbcc\\r\\naabbcc\\r\\n\", \"3\\r\\nAAAAAA\\r\\nAAAAAB\\r\\nABCDEF\\r\\n\", \"3\\r\\nabc\\r\\naac\\r\\nbbb\\r\\n\", \"2\\r\\naaaab\\r\\naabbc\\r\\naabbc\\r\\n\", \"2\\r\\naaaaaab\\r\\naaaaabb\\r\\nabcdefg\\r\\n\", \"3\\r\\naaaaaaaaaaa\\r\\nbbbbbbbbaaa\\r\\nqwertyuiasd\\r\\n\", \"3\\r\\naaaa\\r\\nbbbb\\r\\naabb\\r\\n\", \"3\\r\\naaaabb\\r\\naaabcd\\r\\nabcdef\\r\\n\", \"3\\r\\naaa\\r\\nabc\\r\\nbbb\\r\\n\", \"1\\r\\naa\\r\\nab\\r\\nbb\\r\\n\", \"1\\r\\naacb\\r\\nabcd\\r\\naaaa\\r\\n\", \"3\\r\\naaaabb\\r\\naaabbb\\r\\nabcdef\\r\\n\", \"3\\r\\naaaa\\r\\naaaa\\r\\nabcd\\r\\n\", \"2\\r\\nabcd\\r\\nabcd\\r\\naaad\\r\\n\", \"3\\r\\naaa\\r\\nbbb\\r\\naab\\r\\n\", \"3\\r\\naaaaaa\\r\\naaaaab\\r\\naaaaaa\\r\\n\", \"2\\r\\naaab\\r\\nabcd\\r\\nabcd\\r\\n\", \"3\\r\\nooooo\\r\\nShiro\\r\\nKatie\\r\\n\", \"3\\r\\naaabb\\r\\naabcd\\r\\nabcde\\r\\n\", \"4\\r\\nabcd\\r\\nabcd\\r\\naaaa\\r\\n\", \"4\\r\\naaa\\r\\nbbb\\r\\naab\\r\\n\", \"2\\r\\nxxxx\\r\\nyyyx\\r\\nabcd\\r\\n\", \"3\\r\\nAAAAA\\r\\nAAAAB\\r\\nABCDE\\r\\n\", \"3\\r\\naaaacdc\\r\\naaaaabc\\r\\naaaaabc\\r\\n\", \"3\\r\\naaaaaa\\r\\naabcde\\r\\naabcde\\r\\n\", \"3\\r\\naaabb\\r\\naaabb\\r\\naaaaa\\r\\n\", \"5\\r\\nabbbbb\\r\\ncbbbbb\\r\\nabcdef\\r\\n\", \"3\\r\\naaaaaaaaa\\r\\naaaaabbbb\\r\\naaaaabbbb\\r\\n\", \"4\\r\\naaaaaab\\r\\naaabbbb\\r\\naaabbbb\\r\\n\", \"3\\r\\naaaabb\\r\\naaaabb\\r\\naaabbb\\r\\n\", \"2\\r\\naaaabb\\r\\naaaaab\\r\\nabcdef\\r\\n\", \"2\\r\\naaaaa\\r\\naaaae\\r\\nabcde\\r\\n\", \"3\\r\\naaaaaa\\r\\nbbbcde\\r\\nabcdef\\r\\n\", \"4\\r\\naaaabbb\\r\\naabcdef\\r\\naabcdef\\r\\n\", \"2\\r\\naaaaa\\r\\naaaab\\r\\nabcde\\r\\n\", \"3\\r\\naabbbbb\\r\\naaabbbb\\r\\nabcdefg\\r\\n\", \"3\\r\\nabcde\\r\\naabcd\\r\\naaaaa\\r\\n\", \"5\\r\\naaabbcc\\r\\nabcdefg\\r\\nabcdefg\\r\\n\", \"3\\r\\naabbb\\r\\nabcde\\r\\nabcde\\r\\n\", \"0\\r\\nbbb\\r\\nabb\\r\\nqer\\r\\n\", \"5\\r\\naabbbbb\\r\\naaaaaaa\\r\\nabcdefg\\r\\n\", \"2\\r\\naaaab\\r\\naaaab\\r\\naaabb\\r\\n\", \"2\\r\\naaaaaab\\r\\naaaabbb\\r\\naaaaccc\\r\\n\", \"3\\r\\naaaaaaaaaaaa\\r\\naaaaaaaaaaab\\r\\naaaaaabbbbbb\\r\\n\", \"3\\r\\naaabb\\r\\nabcde\\r\\naaaaa\\r\\n\", \"3\\r\\naaaaaac\\r\\naaaaebc\\r\\naaaaaac\\r\\n\", \"3\\r\\naaaaaa\\r\\naaabbb\\r\\nqwerty\\r\\n\", \"3\\r\\ncccca\\r\\nabcde\\r\\nabcde\\r\\n\", \"100005\\r\\nAA\\r\\nBC\\r\\nCC\\r\\n\", \"3\\r\\naaaa\\r\\nbbbb\\r\\nccca\\r\\n\", \"3\\r\\naaaaa\\r\\nbcdef\\r\\nbcdef\\r\\n\", \"2\\r\\naaab\\r\\naabb\\r\\nqwer\\r\\n\", \"3\\r\\nabcddd\\r\\nabcdef\\r\\nbbaaaa\\r\\n\", \"2\\r\\naaaa\\r\\naaaa\\r\\naabc\\r\\n\", \"3\\r\\naaaa\\r\\naaaa\\r\\naaab\\r\\n\", \"3\\r\\nabcddd\\r\\nabcdef\\r\\naaaaaa\\r\\n\", \"1\\r\\naaaa\\r\\nabcd\\r\\naaab\\r\\n\"], \"outputs\": [\"Kuro\\r\\n\", \"Shiro\\r\\n\", \"Katie\\r\\n\", \"Draw\\r\\n\", \"Shiro\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Katie\\r\\n\", \"Draw\\r\\n\", \"Katie\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Kuro\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Kuro\\r\\n\", \"Kuro\\r\\n\", \"Draw\\r\\n\", \"Katie\\r\\n\", \"Draw\\r\\n\", \"Kuro\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", 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\"Kuro\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Kuro\\r\\n\", \"Kuro\\r\\n\", \"Kuro\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Kuro\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Kuro\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Kuro\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Draw\\r\\n\", \"Katie\\r\\n\"]}",
"style": "rule"
}
|
zpo_codearc
|
{"itemid": 91}
|
[
{
"content": "\nYou are a software engineer tasked with implementing a blackbox Python function `[FUNCTION_NAME]`. Your goal is to implement this function correctly, ensuring it works for ALL possible valid inputs, not just the example inputs provided.\n\nYour goal is to get the function implementation exactly right.\n\nYou are given sequence a1, a2, ..., an of integer numbers of length n. Your task is to find such subsequence that its sum is odd and maximum among all such subsequences. It's guaranteed that given sequence contains subsequence with odd sum.\n\nSubsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements.\n\nYou should write a program which finds sum of the best subsequence.\n\nThe input and output requirements are as follows:\n\nInput:\nThe first line contains integer number n (1 ≤ n ≤ 105).\n\nThe second line contains n integer numbers a1, a2, ..., an ( - 104 ≤ ai ≤ 104). The sequence contains at least one subsequence with odd sum.\nOutput:\nPrint sum of resulting subseqeuence.\n\nHere are some example input and output pairs:\n\n[{\"input\": \"4\\n-2 2 -3 1\", \"output\": \"3\"}, {\"input\": \"3\\n2 -5 -3\", \"output\": \"-1\"}, {\"input\": \"3\\r\\n-2 2 -1\\r\\n\", \"output\": \"1\\r\\n\"}, {\"input\": \"10\\r\\n2 10 -7 6 -1 -1 7 -9 -4 -6\\r\\n\", \"output\": \"25\\r\\n\"}, {\"input\": \"10\\r\\n-2 -10 -5 -6 -10 -3 -6 -3 -8 -8\\r\\n\", \"output\": \"-3\\r\\n\"}]\n\nYou should first reason about the problem and the implementation to generate. Then, return the implementation in the following format:\nIMPLEMENTATION:\n```python\ndef solution(input1, input2, ...):\n ...\n```\nONLY include executable Python code within the code block. The code block should be wrapped in ```python and ```.\n",
"role": "user"
}
] |
{
"ground_truth": "{\"inputs\": [\"4\\r\\n-2 2 -3 1\\r\\n\", \"3\\r\\n2 -5 -3\\r\\n\", \"1\\r\\n1\\r\\n\", \"1\\r\\n-1\\r\\n\", \"15\\r\\n-6004 4882 9052 413 6056 4306 9946 -4616 -6135 906 -1718 5252 -2866 9061 4046\\r\\n\", \"2\\r\\n-5439 -6705\\r\\n\", \"2\\r\\n2850 6843\\r\\n\", \"2\\r\\n144 9001\\r\\n\", \"10\\r\\n7535 -819 2389 4933 5495 4887 -5181 -9355 7955 5757\\r\\n\", \"10\\r\\n-9169 -1574 3580 -8579 -7177 -3216 7490 3470 3465 -1197\\r\\n\", \"10\\r\\n941 7724 2220 -4704 -8374 -8249 7606 9502 612 -9097\\r\\n\", \"10\\r\\n4836 -2331 -3456 2312 -1574 3134 -670 -204 512 -5504\\r\\n\", \"10\\r\\n1184 5136 1654 3254 6576 6900 6468 327 179 7114\\r\\n\", \"10\\r\\n-2152 -1776 -1810 -9046 -6090 -2324 -8716 -6103 -787 -812\\r\\n\", \"3\\r\\n1 1 1\\r\\n\", \"5\\r\\n5 5 5 3 -1\\r\\n\", \"5\\r\\n-1 -2 5 3 0\\r\\n\", \"5\\r\\n-3 -2 5 -1 3\\r\\n\", \"3\\r\\n-2 2 -1\\r\\n\", \"5\\r\\n5 0 7 -2 3\\r\\n\", \"2\\r\\n-2 -5\\r\\n\", \"3\\r\\n-1 -3 0\\r\\n\", \"5\\r\\n2 -1 0 -3 -2\\r\\n\", \"4\\r\\n2 3 0 5\\r\\n\", \"5\\r\\n-5 3 -2 2 5\\r\\n\", \"59\\r\\n8593 5929 3016 -859 4366 -6842 8435 -3910 -2458 -8503 -3612 -9793 -5360 -9791 -362 -7180 727 -6245 -8869 -7316 8214 -7944 7098 3788 -5436 -6626 -1131 -2410 -5647 -7981 263 -5879 8786 709 6489 5316 -4039 4909 -4340 7979 -89 9844 -906 172 -7674 -3371 -6828 9505 3284 5895 3646 6680 -1255 3635 -9547 -5104 -1435 -7222 2244\\r\\n\", \"17\\r\\n-6170 2363 6202 -9142 7889 779 2843 -5089 2313 -3952 1843 5171 462 -3673 5098 -2519 9565\\r\\n\", \"26\\r\\n-8668 9705 1798 -1766 9644 3688 8654 -3077 -5462 2274 6739 2732 3635 -4745 -9144 -9175 -7488 -2010 1637 1118 8987 1597 -2873 -5153 -8062 146\\r\\n\", \"51\\r\\n8237 -7239 -3545 -6059 -5110 4066 -4148 -7641 -5797 -994 963 1144 -2785 -8765 -1216 5410 1508 -6312 -6313 -680 -7657 4579 -6898 7379 2015 -5087 -5417 -6092 3819 -9101 989 -8380 9161 -7519 -9314 -3838 7160 5180 567 -1606 -3842 -9665 -2266 1296 -8417 -3976 7436 -2075 -441 -4565 3313\\r\\n\", \"1\\r\\n-1\\r\\n\", \"1\\r\\n1\\r\\n\", \"1\\r\\n-1\\r\\n\", \"1\\r\\n1\\r\\n\", \"1\\r\\n1\\r\\n\", \"1\\r\\n-1\\r\\n\", \"1\\r\\n-1\\r\\n\", \"1\\r\\n1\\r\\n\", \"2\\r\\n-2 1\\r\\n\", \"2\\r\\n3 2\\r\\n\", \"2\\r\\n1 2\\r\\n\", \"2\\r\\n-1 1\\r\\n\", \"2\\r\\n0 -1\\r\\n\", \"2\\r\\n2 1\\r\\n\", \"2\\r\\n3 0\\r\\n\", \"2\\r\\n0 -1\\r\\n\", \"3\\r\\n-3 1 -1\\r\\n\", \"3\\r\\n3 -1 1\\r\\n\", \"3\\r\\n1 3 1\\r\\n\", \"3\\r\\n-1 0 1\\r\\n\", \"3\\r\\n-3 -3 -2\\r\\n\", \"3\\r\\n3 -1 1\\r\\n\", \"3\\r\\n3 -1 1\\r\\n\", \"3\\r\\n-2 -2 1\\r\\n\", \"4\\r\\n0 -1 -3 -4\\r\\n\", \"4\\r\\n5 3 2 1\\r\\n\", \"4\\r\\n-1 -2 4 -2\\r\\n\", \"4\\r\\n-1 -3 0 -3\\r\\n\", \"4\\r\\n1 -4 -3 -4\\r\\n\", \"4\\r\\n5 3 3 4\\r\\n\", \"4\\r\\n-1 -3 -1 2\\r\\n\", \"4\\r\\n3 2 -1 -4\\r\\n\", \"5\\r\\n-5 -4 -3 -5 2\\r\\n\", \"5\\r\\n5 5 1 2 -2\\r\\n\", \"5\\r\\n-2 -1 -5 -1 4\\r\\n\", \"5\\r\\n-5 -5 -4 4 0\\r\\n\", \"5\\r\\n2 -3 -1 -4 -5\\r\\n\", \"5\\r\\n4 3 4 2 3\\r\\n\", \"5\\r\\n0 -2 -5 3 3\\r\\n\", \"5\\r\\n4 -2 -2 -3 0\\r\\n\", \"6\\r\\n6 7 -1 1 5 -1\\r\\n\", \"6\\r\\n-1 7 2 -3 -4 -5\\r\\n\", \"6\\r\\n0 -1 -3 -5 2 -6\\r\\n\", \"6\\r\\n4 -1 0 3 6 1\\r\\n\", \"6\\r\\n5 3 3 4 4 -3\\r\\n\", \"6\\r\\n0 -3 5 -4 5 -4\\r\\n\", \"6\\r\\n-5 -3 1 -1 -5 -3\\r\\n\", \"6\\r\\n-2 1 3 -2 7 4\\r\\n\", \"7\\r\\n0 7 6 2 7 0 6\\r\\n\", \"7\\r\\n6 -6 -1 -5 7 1 7\\r\\n\", \"7\\r\\n2 3 -5 0 -4 0 -4\\r\\n\", \"7\\r\\n-6 3 -3 -1 -6 -6 -5\\r\\n\", \"7\\r\\n7 6 3 2 4 2 0\\r\\n\", \"7\\r\\n-2 3 -3 4 4 0 -1\\r\\n\", \"7\\r\\n-5 -7 4 0 5 -3 -5\\r\\n\", \"7\\r\\n-3 -5 -4 1 3 -4 -7\\r\\n\", \"8\\r\\n5 2 4 5 7 -2 7 3\\r\\n\", \"8\\r\\n-8 -3 -1 3 -8 -4 -4 4\\r\\n\", \"8\\r\\n-6 -7 -7 -5 -4 -9 -2 -7\\r\\n\", \"8\\r\\n8 7 6 8 3 4 8 -2\\r\\n\", \"8\\r\\n6 7 0 -6 6 5 4 7\\r\\n\", \"8\\r\\n0 -7 -5 -5 5 -1 -8 -7\\r\\n\", \"8\\r\\n1 -6 -5 7 -3 -4 2 -2\\r\\n\", \"8\\r\\n1 -8 -6 -6 -6 -7 -5 -1\\r\\n\", \"9\\r\\n-3 -1 4 4 8 -8 -5 9 -2\\r\\n\", \"9\\r\\n-9 -1 3 -2 -7 2 -9 -1 -4\\r\\n\", \"9\\r\\n-6 -9 -3 -8 -5 2 -6 0 -5\\r\\n\", \"9\\r\\n5 4 3 3 6 7 8 5 9\\r\\n\", \"9\\r\\n5 3 9 1 5 2 -3 7 0\\r\\n\", \"9\\r\\n-3 -9 -1 -7 5 6 -4 -6 -6\\r\\n\", \"9\\r\\n-6 -5 6 -5 -2 0 1 2 -9\\r\\n\", \"9\\r\\n8 3 6 1 -3 5 2 9 1\\r\\n\", \"10\\r\\n-6 -4 -7 -1 -9 -10 -10 1 0 -3\\r\\n\", \"10\\r\\n-2 -10 -5 -6 -10 -3 -6 -3 -8 -8\\r\\n\", \"10\\r\\n8 5 9 2 3 3 -6 1 -1 8\\r\\n\", \"10\\r\\n2 10 -7 6 -1 -1 7 -9 -4 -6\\r\\n\", \"10\\r\\n-10 -2 -2 -1 -10 -7 1 0 -4 -5\\r\\n\", \"10\\r\\n4 3 10 -2 -1 0 10 6 7 0\\r\\n\", \"10\\r\\n-2 6 6 5 0 10 6 7 -1 1\\r\\n\", \"10\\r\\n-10 2 8 -6 -1 -5 1 -10 -10 -1\\r\\n\"], \"outputs\": [\"3\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"-1\\r\\n\", \"53507\\r\\n\", \"-5439\\r\\n\", \"9693\\r\\n\", \"9145\\r\\n\", \"38951\\r\\n\", \"18005\\r\\n\", \"28605\\r\\n\", \"8463\\r\\n\", \"38613\\r\\n\", \"-787\\r\\n\", \"3\\r\\n\", \"17\\r\\n\", \"7\\r\\n\", \"7\\r\\n\", \"1\\r\\n\", \"15\\r\\n\", \"-5\\r\\n\", \"-1\\r\\n\", \"1\\r\\n\", \"7\\r\\n\", \"7\\r\\n\", \"129433\\r\\n\", \"43749\\r\\n\", \"60757\\r\\n\", \"73781\\r\\n\", 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\"39\\r\\n\", \"25\\r\\n\", \"1\\r\\n\", \"39\\r\\n\", \"41\\r\\n\", \"11\\r\\n\"]}",
"style": "rule"
}
|
zpo_codearc
|
{"itemid": 93}
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