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codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou are given two integers $x$ and $y$.\n\nOutput two integers: the minimum of $x$ and $y$, followed by the maximum of $x$ and $y$.\n\nInput F...
code
{ "ground_truth": [ { "input": "10\n1 9\n8 4\n1 4\n3 4\n2 0\n2 4\n6 9\n3 3\n0 0\n9 9", "metadata": { "func_name": null }, "output": "1 9\n4 8\n1 4\n3 4\n0 2\n2 4\n6 9\n3 3\n0 0\n9 9", "testtype": "stdin" } ], "style": "rule" }
{ "index": 0, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou are given a string $s$ consisting of lowercase English letters.\n\nRearrange the characters of $s$ to form a new string $r$ that is not eq...
code
{ "ground_truth": [ { "input": "8\ncodeforces\naaaaa\nxxxxy\nco\nd\nnutdealer\nmwistht\nhhhhhhhhhh", "metadata": { "func_name": null }, "output": "YES\nforcodesec\nNO\nYES\nxxyxx\nYES\noc\nNO\nYES\nundertale\nYES\nthtsiwm\nNO", "testtype": "stdin" } ], "style": "rule" }
{ "index": 1, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThere is a clock labeled with the numbers $1$ through $12$ in clockwise order, as shown below.\n\n![](CDN_BASE_URL/d18290022594db5fbc2eb2c9422...
code
{ "ground_truth": [ { "input": "15\n2 9 10 6\n3 8 9 1\n1 2 3 4\n5 3 4 12\n1 8 2 10\n3 12 11 8\n9 10 12 1\n12 1 10 2\n3 12 6 9\n1 9 8 4\n6 7 9 12\n7 12 9 6\n10 12 11 1\n3 9 6 12\n1 4 3 5", "metadata": { "func_name": null }, "output": "YES\nNO\nNO\nYES\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nYES\nYES\nYES", "testtype": "stdin" } ], "style": "rule" }
{ "index": 2, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou are given a binary string$^{\\dagger}$. Please find the minimum number of pieces you need to cut it into, so that the resulting pieces can...
code
{ "ground_truth": [ { "input": "6\n11010\n00000000\n1\n10\n0001111\n0110", "metadata": { "func_name": null }, "output": "3\n1\n1\n2\n1\n2", "testtype": "stdin" } ], "style": "rule" }
{ "index": 3, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nTimur is in a car traveling on the number line from point $0$ to point $n$. The car starts moving from point $0$ at minute $0$.\n\nThere are $...
code
{ "ground_truth": [ { "input": "4\n10 1 3\n10\n10\n0\n6\n7\n10 2 4\n4 10\n4 7\n6\n4\n2\n7\n1000000000 1 1\n1000000000\n1000000000\n99999999\n6 1 3\n6\n5\n2\n6\n5", "metadata": { "func_name": null }, "output": "0 6 7 \n5 4 2 5 \n99999999 \n1 5 4", "testtype": "stdin" } ], "style": "rule" }
{ "index": 4, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nGiven an integer $r$, find the number of lattice points that have a Euclidean distance from $(0, 0)$ greater than or equal to $r$ but strictly...
code
{ "ground_truth": [ { "input": "6\n1\n2\n3\n4\n5\n1984", "metadata": { "func_name": null }, "output": "8\n16\n20\n24\n40\n12504", "testtype": "stdin" } ], "style": "rule" }
{ "index": 5, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou are given an array $a$ consisting of $n$ nonnegative integers.\n\nYou can swap the elements at positions $i$ and $j$ if $a_i~\\mathsf{XOR}...
code
{ "ground_truth": [ { "input": "4\n4\n1 0 3 2\n5\n2 7 1 5 6\n8\n1 2 1 2 1 2 1 2\n4\n16 4 1 64", "metadata": { "func_name": null }, "output": "0 1 2 3 \n1 5 2 6 7 \n1 1 1 1 2 2 2 2 \n16 4 1 64", "testtype": "stdin" } ], "style": "rule" }
{ "index": 6, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nBob has a grid with $3$ rows and $n$ columns, each of which contains either $a_i$ or $-a_i$ for some integer $1 \\leq i \\leq n$. For example,...
code
{ "ground_truth": [ { "input": "4\n4\n1 -2 -3 -2\n-4 4 -1 -3\n1 2 -2 4\n2\n1 2\n-1 -2\n2 -2\n5\n1 2 3 4 5\n-2 3 -4 -5 -1\n3 -5 1 2 2\n6\n1 3 -6 2 5 2\n1 3 -2 -3 -6 -5\n-2 -1 -3 2 3 1", "metadata": { "func_name": null }, "output": "YES\nNO\nYES\nNO", "testtype": "stdin" } ], "style": "rule" }
{ "index": 7, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nA contest contains $n$ problems and the difficulty of the $i$-th problem is expected to be at most $b_i$. There are already $n$ problem propos...
code
{ "ground_truth": [ { "input": "2\n6\n1000 1400 2000 2000 2200 2700\n800 1200 1500 1800 2200 3000\n6\n4 5 6 7 8 9\n1 2 3 4 5 6", "metadata": { "func_name": null }, "output": "2\n3", "testtype": "stdin" } ], "style": "rule" }
{ "index": 8, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThere are $n$ coins on the table forming a circle, and each coin is either facing up or facing down. Alice and Bob take turns to play the foll...
code
{ "ground_truth": [ { "input": "3\n5\nUUDUD\n5\nUDDUD\n2\nUU", "metadata": { "func_name": null }, "output": "YES\nNO\nNO", "testtype": "stdin" } ], "style": "rule" }
{ "index": 9, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou have some cards. An integer between $1$ and $n$ is written on each card: specifically, for each $i$ from $1$ to $n$, you have $a_i$ cards ...
code
{ "ground_truth": [ { "input": "8\n1 10\n1\n2 4\n8 4\n3 4\n6 1 8\n3 9\n7 6 2\n5 3\n6 6 7 4 6\n9 7\n7 6 1 7 6 2 4 3 3\n10 10\n1 3 1 2 1 9 3 5 7 5\n9 8\n5 8 7 5 1 3 2 9 8", "metadata": { "func_name": null }, "output": "11\n15\n15\n22\n28\n32\n28\n36", "testtype": "stdin" } ], "style": "rule" }
{ "index": 10, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThe two versions are different problems. You may want to read both versions. You can make hacks only if both versions are solved.\n\nYou are g...
code
{ "ground_truth": [ { "input": "6\n1 1\n2 3\n3 5\n10 8\n100 1233\n1000000 1145141", "metadata": { "func_name": null }, "output": "1\n3\n4\n14\n153\n1643498", "testtype": "stdin" } ], "style": "rule" }
{ "index": 11, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThe two versions are different problems. You may want to read both versions. You can make hacks only if both versions are solved.\n\nYou are g...
code
{ "ground_truth": [ { "input": "6\n1 1\n2 3\n3 5\n10 8\n100 1233\n1000000 1145141", "metadata": { "func_name": null }, "output": "0\n1\n1\n6\n423\n5933961", "testtype": "stdin" } ], "style": "rule" }
{ "index": 12, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nLet $\\operatorname{lowbit}(x)$ denote the value of the lowest binary bit of $x$, e.g. $\\operatorname{lowbit}(12)=4$, $\\operatorname{lowbit}...
code
{ "ground_truth": [ { "input": "2\n8 1\n1 2 1 4 1 2 1 8\n6 2\n1 4 3 17 5 16", "metadata": { "func_name": null }, "output": "1 1 1 1 1 1 1 1\n1 2 3 4 5 6", "testtype": "stdin" } ], "style": "rule" }
{ "index": 13, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nLittle R is a magician who likes non-decreasing arrays. She has an array of length $n$, initially as $a_1, \\ldots, a_n$, in which each elemen...
code
{ "ground_truth": [ { "input": "3\n5 8\n1 6 3 7 1\n2 3 5 8 7 1 5 6\n3 3\n1 3 2\n2 1 3\n10 10\n2 8 5 4 8 4 1 5 10 10\n6 7 2 6 3 4 1 1 3 5", "metadata": { "func_name": null }, "output": "3\n-1\n3", "testtype": "stdin" } ], "style": "rule" }
{ "index": 14, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThree friends gathered to play a few games of chess together.\n\nIn every game, two of them play against each other. The winner gets $2$ point...
code
{ "ground_truth": [ { "input": "7\n0 0 0\n0 1 1\n1 1 1\n1 1 2\n3 3 3\n3 4 5\n1 1 10", "metadata": { "func_name": null }, "output": "0\n1\n-1\n2\n-1\n6\n2", "testtype": "stdin" } ], "style": "rule" }
{ "index": 15, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nToday, Cat and Fox found an array $a$ consisting of $n$ non-negative integers.\n\nDefine the loneliness of $a$ as the smallest positive intege...
code
{ "ground_truth": [ { "input": "7\n1\n0\n3\n2 2 2\n3\n1 0 2\n5\n3 0 1 4 2\n5\n2 0 4 0 2\n7\n0 0 0 0 1 2 4\n8\n0 1 3 2 2 1 0 3", "metadata": { "func_name": null }, "output": "1\n1\n3\n4\n4\n7\n3", "testtype": "stdin" } ], "style": "rule" }
{ "index": 16, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nFox loves permutations! She came up with the following problem and asked Cat to solve it:\n\nYou are given an even positive integer $n$ and a ...
code
{ "ground_truth": [ { "input": "4\n4\n1 2 3 4\n4\n4 3 1 2\n6\n6 5 1 4 2 3\n8\n1 2 4 5 7 6 8 3", "metadata": { "func_name": null }, "output": "2 4 1 3\n3 1 4 2\n2 5 1 4 3 6\n5 4 8 2 7 1 6 3", "testtype": "stdin" } ], "style": "rule" }
{ "index": 17, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThis is an interactive problem.\n\nFox gave Cat two positive integers $n$ and $k$. She has a hidden array $a_1, \\ldots , a_n$ of length $n$, ...
code
{ "ground_truth": [ { "input": "3\n1 1\n\n1\n2 2\n\n1\n\n3\n\n1\n6 3\n\n7\n\n2\n\n3\n\n6\n\n1", "metadata": { "func_name": null }, "output": "! 1\n\n\n? 1 1\n\n? 2 1\n\n! -1\n\n\n? 1 9\n\n? 1 6\n\n? 3 6\n\n? 4 6\n\n! 6", "testtype": "stdin" } ], "style": "rule" }
{ "index": 18, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nFox has found an array $p_1, p_2, \\ldots, p_n$, that is a permutation of length $n^\\dagger$ of the numbers $1, 2, \\ldots, n$. She wants to ...
code
{ "ground_truth": [ { "input": "7\n2\n2 1\n3\n3 1 2\n4\n3 2 1 4\n5\n5 3 1 2 4\n5\n1 2 3 4 5\n6\n3 2 1 5 4 6\n6\n1 3 2 4 5 6", "metadata": { "func_name": null }, "output": "6\n11\n23\n29\n55\n46\n58", "testtype": "stdin" } ], "style": "rule" }
{ "index": 19, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nFor $k$ positive integers $x_1, x_2, \\ldots, x_k$, the value $\\gcd(x_1, x_2, \\ldots, x_k)$ is the greatest common divisor of the integers $...
code
{ "ground_truth": [ { "input": "3 4\n1 2 3\n4 5 6\n1 1 1\n0 1 2 3", "metadata": { "func_name": null }, "output": "2 3 3 3", "testtype": "stdin" }, { "input": "5 5\n3 4 6 8 4\n8 3 4 9 3\n10 20 30 40 50\n5 55 13 1000 113", "metadata": { "func_name": null }, "output": "2 7 3 7 7", "testtype": "stdin" }, { "input": "1 1\n3\n4\n5\n0", "metadata": { "func_name": null }, "output": "7", "testtype": "stdin" } ], "style": "rule" }
{ "index": 20, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nLittle Rosie has a phone with a desktop (or launcher, as it is also called). The desktop can consist of several screens. Each screen is repres...
code
{ "ground_truth": [ { "input": "11\n1 1\n7 2\n12 4\n0 3\n1 0\n8 1\n0 0\n2 0\n15 0\n8 2\n0 9", "metadata": { "func_name": null }, "output": "1\n1\n2\n2\n1\n1\n0\n1\n1\n2\n5", "testtype": "stdin" } ], "style": "rule" }
{ "index": 21, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nPolycarp has a string $s$, which consists of lowercase Latin letters. He encodes this string using the following algorithm:\n\n * first, he c...
code
{ "ground_truth": [ { "input": "5\n10\nserofedsoc\n3\nttf\n9\ntlrhgmaoi\n1\nw\n15\nhnndledmnhlttin", "metadata": { "func_name": null }, "output": "codeforces\nfft\nalgorithm\nw\nmeetinthemiddle", "testtype": "stdin" } ], "style": "rule" }
{ "index": 22, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nPolycarp was given an array $a$ of $n$ integers. He really likes triples of numbers, so for each $j$ ($1 \\le j \\le n - 2$) he wrote down a t...
code
{ "ground_truth": [ { "input": "8\n5\n3 2 2 2 3\n5\n1 2 1 2 1\n8\n1 2 3 2 2 3 4 2\n4\n2 1 1 1\n8\n2 1 1 2 1 1 1 1\n7\n2 1 1 1 1 1 1\n6\n2 1 1 1 1 1\n5\n2 1 1 1 1", "metadata": { "func_name": null }, "output": "2\n0\n3\n1\n8\n4\n3\n2", "testtype": "stdin" } ], "style": "rule" }
{ "index": 23, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nLet's imagine the surface of Mars as an infinite coordinate plane. Initially, the rover Perseverance-2 and the helicopter Ingenuity-2 are loca...
code
{ "ground_truth": [ { "input": "10\n6\nNENSNE\n3\nWWW\n6\nNESSWS\n2\nSN\n2\nWE\n4\nSSNN\n4\nWESN\n2\nSS\n4\nEWNN\n4\nWEWE", "metadata": { "func_name": null }, "output": "RRHRRH\nNO\nHRRHRH\nNO\nNO\nRHRH\nRRHH\nRH\nRRRH\nRRHH", "testtype": "stdin" } ], "style": "rule" }
{ "index": 24, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nBeing a physicist, Charlie likes to plan his life in simple and precise terms.\n\nFor the next $m$ months, starting with no money, Charlie wil...
code
{ "ground_truth": [ { "input": "7\n1 10\n1 5\n2 80\n0 10\n200 100\n3 100\n70 100\n100 200\n150 150\n5 8\n3 1\n5 3\n3 4\n1 5\n5 3\n2 5\n1 5\n2 1\n5 3\n2 5\n2 4\n4 1\n5 1\n3 4\n5 2\n2 1\n1 2\n3 5\n3 2\n3 2", "metadata": { "func_name": null }, "output": "0\n10\n200\n15\n1\n9\n9", "testtype": "stdin" } ], "style": "rule" }
{ "index": 25, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nAlice and Bob were playing a game again. They have a grid of size $a \\times b$ ($1 \\le a, b \\le 10^9$), on which there are $n$ chips, with ...
code
{ "ground_truth": [ { "input": "6\n4 4 3 2\n4 1\n3 3\n2 4\nD 2\nR 1\n4 4 3 3\n4 1\n3 2\n2 3\nD 1\nL 1\nU 2\n3 5 3 2\n1 3\n2 2\n3 3\nR 2\nR 2\n6 4 4 2\n1 4\n2 3\n5 3\n1 1\nR 1\nU 1\n9 3 2 1\n6 1\n3 3\nD 8\n10 10 2 5\n7 5\n9 1\nR 1\nL 2\nD 1\nU 4\nD 1", "metadata": { "func_name": null }, "output": "2 1\n2 0\n0 3\n1 1\n2 0\n0 1", "testtype": "stdin" } ], "style": "rule" }
{ "index": 26, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou can never buy enough happiness, so here we go again! In this version, you can only buy $h_i = 1$ unit of happiness each month, but the num...
code
{ "ground_truth": [ { "input": "6\n3 3\n2 2 2\n6 5\n2 2 8 2 6 8\n6 4\n4 10 3 8 6 10\n2 1\n1 1\n4 1\n4 1 3 1\n4 2\n1 3 4 3", "metadata": { "func_name": null }, "output": "2\n4\n3\n1\n2\n1", "testtype": "stdin" } ], "style": "rule" }
{ "index": 27, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nMocha likes arrays, so before her departure, Bazoka gave her an array $a$ consisting of $n$ positive integers as a gift.\n\nNow Mocha wants to...
code
{ "ground_truth": [ { "input": "3\n6\n1 1 4 5 1 4\n5\n7 9 2 2 3\n3\n1 2 3", "metadata": { "func_name": null }, "output": "No\nYes\nYes", "testtype": "stdin" } ], "style": "rule" }
{ "index": 28, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nMocha likes arrays, so before her departure, 378QAQ gave her an array $a$ consisting of $n$ positive integers as a gift.\n\nMocha thinks that ...
code
{ "ground_truth": [ { "input": "4\n3\n7 3 8\n5\n7 1 9 3 5\n5\n4 12 2 6 3\n5\n7 49 9 3 1000000000", "metadata": { "func_name": null }, "output": "No\nYes\nYes\nNo", "testtype": "stdin" } ], "style": "rule" }
{ "index": 29, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nMocha likes arrays, so before her departure, Chamo gave her an array $a$ consisting of $n$ positive integers as a gift.\n\nMocha doesn't like ...
code
{ "ground_truth": [ { "input": "2\n2\n1 2\n5\n1 2 3 4 5", "metadata": { "func_name": null }, "output": "1\n4", "testtype": "stdin" } ], "style": "rule" }
{ "index": 30, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\n378QAQ has a tree with $n$ vertices. Initially, all vertices are white.\n\nThere are two chess pieces called $P_A$ and $P_B$ on the tree. $P_A...
code
{ "ground_truth": [ { "input": "3\n2\n1 2\n1 2\n5\n1 2\n1 2\n1 3\n1 4\n1 5\n8\n5 4\n7 1\n1 5\n1 8\n8 3\n7 2\n8 6\n3 4", "metadata": { "func_name": null }, "output": "2\n8\n13", "testtype": "stdin" } ], "style": "rule" }
{ "index": 31, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou are given a tree of $n$ vertices numbered from $1$ to $n$. Initially, all vertices are colored white or black.\n\nYou are asked to perform...
code
{ "ground_truth": [ { "input": "2\n2 1\n1 0\n1 2\n1\n5 4\n1 0 0 0 0\n1 2\n1 3\n1 5\n3 4\n4\n3\n2\n5", "metadata": { "func_name": null }, "output": "No\nNo\nYes\nYes\nNo", "testtype": "stdin" }, { "input": "4\n5 3\n1 1 1 1 1\n3 5\n2 5\n3 4\n1 5\n1\n1\n1\n4 4\n0 0 0 0\n1 2\n2 3\n1 4\n1\n2\n3\n2\n1 1\n1\n1\n1 1\n0\n1", "metadata": { "func_name": null }, "output": "Yes\nNo\nYes\nYes\nYes\nYes\nNo\nNo\nYes", "testtype": "stdin" } ], "style": "rule" }
{ "index": 32, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nDefine the binary encoding of a finite set of natural numbers $T \\subseteq \\\\{0,1,2,\\ldots\\\\}$ as $f(T) = \\sum\\limits_{i \\in T} 2^i$....
code
{ "ground_truth": [ { "input": "3\n15 15 15 15 15 15 12", "metadata": { "func_name": null }, "output": "4\n3\n5\n6\n7", "testtype": "stdin" }, { "input": "5\n63 63 63 63 6 63 63 63 63 63 63 5 63 63 63 63 63 63 8 63 63 63 63 2 63 63 63 63 63 63 63", "metadata": { "func_name": null }, "output": "1\n19", "testtype": "stdin" } ], "style": "rule" }
{ "index": 33, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nOne day, Zimpha casually came up with a problem. As a member of \"Zimpha fan club\", you decided to solve that problem. You are given two...
code
{ "ground_truth": [ { "input": "10 10\njustmonika\nj-stsayori", "metadata": { "func_name": null }, "output": "No", "testtype": "stdin" }, { "input": "7 8\nttk-wxx\n*tt-l-xx", "metadata": { "func_name": null }, "output": "Yes", "testtype": "stdin" }, { "input": "13 11\nasoulwangziji\n-soulg*z-y-", "metadata": { "func_name": null }, "output": "No", "testtype": "stdin" }, { "input": "7 3\nabc*cba\na*c", "metadata": { "func_name": null }, "output": "No", "testtype": "stdin" }, { "input": "20 18\nbulijiojio-dibuliduo\n*li*ji-*ox*i*-du*-", "metadata": { "func_name": null }, "output": "Yes", "testtype": "stdin" } ], "style": "rule" }
{ "index": 34, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\n378QAQ has a string $s$ of length $n$. Define the core of a string as the substring$^\\dagger$ with maximum lexicographic$^\\ddagger$ order.\n...
code
{ "ground_truth": [ { "input": "6\n3\nqaq\n4\ncccc\n6\nbazoka\n6\nzazzzz\n7\nababbbb\n7\nccbabcc", "metadata": { "func_name": null }, "output": "qaq\ncccc\nz\nzzz\nbbababb\ncbcacbc", "testtype": "stdin" } ], "style": "rule" }
{ "index": 35, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThis is the way it always was.\n\nThis is the way it always will be.\n\nAll will be forgotten again soon...\n\nJellyfish is playing a one-play...
code
{ "ground_truth": [ { "input": "4\n5\n0 1 1 1 2\n00100\n3\n2 3 3\n000\n10\n0 0 0 0 0 0 0 1 1 1\n1111011111\n20\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4\n00000000001000101010", "metadata": { "func_name": null }, "output": "500000004\n0\n0\n675898154", "testtype": "stdin" } ], "style": "rule" }
{ "index": 36, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nMonocarp is working on his new site, and the current challenge is to make the users pick strong passwords.\n\nMonocarp decided that strong pas...
code
{ "ground_truth": [ { "input": "5\n4\n12ac\n5\n123wa\n9\nallllmost\n5\nac123\n6\n011679", "metadata": { "func_name": null }, "output": "YES\nNO\nYES\nNO\nYES", "testtype": "stdin" } ], "style": "rule" }
{ "index": 37, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou are given two integer arrays: array $a$ of length $n$ and array $b$ of length $n+1$.\n\nYou can perform the following operations any numbe...
code
{ "ground_truth": [ { "input": "3\n1\n2\n1 3\n2\n3 3\n3 3 3\n4\n4 2 1 2\n2 1 5 2 3", "metadata": { "func_name": null }, "output": "3\n1\n8", "testtype": "stdin" } ], "style": "rule" }
{ "index": 38, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nMonocarp is opening his own IT company. He wants to hire $n$ programmers and $m$ testers.\n\nThere are $n+m+1$ candidates, numbered from $1$ t...
code
{ "ground_truth": [ { "input": "4\n1 0\n2 1\n1 2\n0 2\n4 5 5\n5 4 1\n1 2\n2 1 5 4\n5 2 3 1\n3 1\n4 3 3 4 1\n5 5 4 5 2", "metadata": { "func_name": null }, "output": "1 2 \n5 6 9 \n8 11 11 12 \n13 13 13 12 15", "testtype": "stdin" } ], "style": "rule" }
{ "index": 39, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nA regular bracket sequence is a bracket sequence that can be transformed into a correct arithmetic expression by inserting characters '1' and ...
code
{ "ground_truth": [ { "input": "4\n(())\n()\n()()()\n(()())(())", "metadata": { "func_name": null }, "output": "1\n0\n3\n13", "testtype": "stdin" } ], "style": "rule" }
{ "index": 40, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nInitially, we had one array, which was a permutation of size $n$ (an array of size $n$ where each integer from $1$ to $n$ appears exactly once...
code
{ "ground_truth": [ { "input": "6 3\n6 4 4\n5 5 2", "metadata": { "func_name": null }, "output": "30", "testtype": "stdin" }, { "input": "10 1\n10\n9", "metadata": { "func_name": null }, "output": "1814400", "testtype": "stdin" }, { "input": "4 1\n2\n4", "metadata": { "func_name": null }, "output": "8", "testtype": "stdin" } ], "style": "rule" }
{ "index": 41, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou are given a rooted tree, consisting of $n$ vertices, numbered from $1$ to $n$. Vertex $1$ is the root. Additionally, the root only has one...
code
{ "ground_truth": [ { "input": "4\n2\n1 2\n12\n4 10\n5 12\n12 11\n3 6\n9 6\n1 6\n12 7\n11 6\n2 11\n10 9\n10 8\n8\n1 2\n2 3\n2 4\n3 5\n3 6\n4 7\n4 8\n5\n1 2\n2 3\n3 4\n4 5", "metadata": { "func_name": null }, "output": "0 \n7 3 1 0 0 0 0 0 0 0 0 \n4 1 0 0 0 0 0 \n0 0 0 0", "testtype": "stdin" } ], "style": "rule" }
{ "index": 42, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThe little boy Nikita was given some cubes as a present. He decided to build a tower out of them.\n\nInitially, the tower doesn't have any cub...
code
{ "ground_truth": [ { "input": "3\n3 3\n2 4\n5 3", "metadata": { "func_name": null }, "output": "Yes\nNo\nYes", "testtype": "stdin" } ], "style": "rule" }
{ "index": 43, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou are given a positive integer $x$. Find any array of integers $a_0, a_1, \\ldots, a_{n-1}$ for which the following holds:\n\n * $1 \\le n ...
code
{ "ground_truth": [ { "input": "7\n1\n14\n24\n15\n27\n11\n19", "metadata": { "func_name": null }, "output": "1\n1\n5\n0 -1 0 0 1\n6\n0 0 0 -1 0 1\n5\n-1 0 0 0 1\n6\n-1 0 -1 0 0 1\n5\n-1 0 -1 0 1\n5\n-1 0 1 0 1", "testtype": "stdin" } ], "style": "rule" }
{ "index": 44, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nNikita is a student passionate about number theory and algorithms. He faces an interesting problem related to an array of numbers.\n\nSuppose ...
code
{ "ground_truth": [ { "input": "6\n5\n1 2 4 8 16\n6\n3 2 10 20 60 1\n7\n2 3 4 6 12 100003 1200036\n9\n2 42 7 3 6 7 7 1 6\n8\n4 99 57 179 10203 2 11 40812\n1\n1", "metadata": { "func_name": null }, "output": "0\n4\n4\n5\n8\n0", "testtype": "stdin" } ], "style": "rule" }
{ "index": 45, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou are given a binary (consisting only of 0s and 1s) $n \\times m$ matrix. You are also given a XORificator, using which you can invert all t...
code
{ "ground_truth": [ { "input": "5\n3 4\n1010\n0110\n0100\n1 1\n1\n1 1\n0\n2 5\n00101\n10110\n3 3\n101\n111\n000", "metadata": { "func_name": null }, "output": "3\n010\n1\n0\n1\n1\n3\n00\n2\n010", "testtype": "stdin" } ], "style": "rule" }
{ "index": 46, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThis is an interactive problem.\n\nYou are given an integer $n$.\n\nThe jury has hidden from you a directed graph with $n$ vertices (numbered ...
code
{ "ground_truth": [ { "input": "2\n4\n\nYES\n\nYES\n\nYES\n\nNO\n\nNO\n\nNO\n\n5", "metadata": { "func_name": null }, "output": "? 1 2\n\n? 2 3\n\n? 1 3\n\n? 1 4\n\n? 2 4\n\n? 3 4\n\n! 0 0 0 1\n\n! 1 1 0 1 0", "testtype": "stdin" } ], "style": "rule" }
{ "index": 47, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nAlice has $n$ books. The $1$-st book contains $a_1$ pages, the $2$-nd book contains $a_2$ pages, $\\ldots$, the $n$-th book contains $a_n$ pag...
code
{ "ground_truth": [ { "input": "5\n2\n1 1\n4\n2 3 3 1\n5\n2 2 3 2 2\n2\n10 3\n3\n1 2 3", "metadata": { "func_name": null }, "output": "2\n4\n5\n13\n5", "testtype": "stdin" } ], "style": "rule" }
{ "index": 48, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nBob decided to open a bakery. On the opening day, he baked $n$ buns that he can sell. The usual price of a bun is $a$ coins, but to attract cu...
code
{ "ground_truth": [ { "input": "7\n4 4 5\n5 5 9\n10 10 5\n5 5 11\n1000000000 1000000000 1000000000\n1000000000 1000000000 1\n1000 1 1000", "metadata": { "func_name": null }, "output": "17\n35\n100\n45\n1000000000000000000\n1000000000000000000\n500500", "testtype": "stdin" } ], "style": "rule" }
{ "index": 49, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nLet's call the Manhattan value of a permutation$^{\\dagger}$ $p$ the value of the expression $|p_1 - 1| + |p_2 - 2| + \\ldots + |p_n - n|$.\n\...
code
{ "ground_truth": [ { "input": "8\n3 4\n4 5\n7 0\n1 1000000000000\n8 14\n112 777\n5 12\n5 2", "metadata": { "func_name": null }, "output": "Yes\n3 1 2\nNo\nYes\n1 2 3 4 5 6 7\nNo\nYes\n8 2 3 4 5 6 1 7\nNo\nYes\n5 4 3 1 2\nYes\n2 1 3 4 5", "testtype": "stdin" } ], "style": "rule" }
{ "index": 50, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nElections are taking place in Berland. There are $n$ candidates participating in the elections, numbered from $1$ to $n$. The $i$-th candidate...
code
{ "ground_truth": [ { "input": "5\n3 1\n2 0 3\n2 3\n0 10\n5 3\n5 4 3 2 1\n4 5\n3 10 7 1\n6 0\n2 2 2 3 3 3", "metadata": { "func_name": null }, "output": "0 1 2\n1 0\n0 1 2 3 4\n1 0 2 3\n1 1 2 0 4 5", "testtype": "stdin" } ], "style": "rule" }
{ "index": 51, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nSasha has two binary strings $s$ and $t$ of the same length $n$, consisting of the characters 0 and 1.\n\nThere is also a computing machine th...
code
{ "ground_truth": [ { "input": "3\n4\n1111\n0000\n2\n1 2\n2 4\n4\n1010\n1101\n2\n1 3\n1 4\n6\n010101\n011010\n5\n2 3\n1 6\n2 5\n4 4\n3 6", "metadata": { "func_name": null }, "output": "2\n3\n2\n3\n1\n4\n3\n1\n2", "testtype": "stdin" } ], "style": "rule" }
{ "index": 52, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nGiven an array $a$ of length $n$. Let's construct a square matrix $b$ of size $n \\times n$, in which the $i$-th row contains the array $a$ cy...
code
{ "ground_truth": [ { "input": "6\n3 3\n3 4 5\n3 3\n3 4 9\n3 2\n3 4 9\n2 2\n2 8\n5 3\n8 27 5 4 3\n4 10\n2 2 2 2", "metadata": { "func_name": null }, "output": "3\n2\n3\n1\n4\n1", "testtype": "stdin" } ], "style": "rule" }
{ "index": 53, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nAlice and Bob came up with a rather strange game. They have an array of integers $a_1, a_2,\\ldots, a_n$. Alice chooses a certain integer $k$ ...
code
{ "ground_truth": [ { "input": "6\n4\n2 4 1 7\n5\n1 2 3 4 5\n2\n1 1\n3\n37 8 16\n5\n10 10 10 10 9\n10\n3 12 9 5 2 3 2 9 8 2", "metadata": { "func_name": null }, "output": "3\n1\n0\n15\n9\n2", "testtype": "stdin" } ], "style": "rule" }
{ "index": 54, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou are given two distinct non-negative integers $x$ and $y$. Consider two infinite sequences $a_1, a_2, a_3, \\ldots$ and $b_1, b_2, b_3, \\l...
code
{ "ground_truth": [ { "input": "4\n0 1\n12 4\n57 37\n316560849 14570961", "metadata": { "func_name": null }, "output": "1\n8\n4\n33554432", "testtype": "stdin" } ], "style": "rule" }
{ "index": 55, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou have been offered to play a game. In this game, there are $n$ possible outcomes, and for each of them, you must bet a certain integer amou...
code
{ "ground_truth": [ { "input": "6\n3\n3 2 7\n2\n3 3\n5\n5 5 5 5 5\n6\n7 9 3 17 9 13\n3\n6 3 2\n5\n9 4 6 8 3", "metadata": { "func_name": null }, "output": "27 41 12 \n1 1 \n-1\n1989 1547 4641 819 1547 1071 \n-1\n8 18 12 9 24", "testtype": "stdin" } ], "style": "rule" }
{ "index": 56, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou are given a binary string $s$ of length $n$, consisting of zeros and ones. You can perform the following operation exactly once:\n\n 1. C...
code
{ "ground_truth": [ { "input": "7\n8 4\n11100001\n4 2\n1110\n12 3\n111000100011\n5 5\n00000\n6 1\n101001\n8 4\n01110001\n12 2\n110001100110", "metadata": { "func_name": null }, "output": "3\n-1\n7\n5\n4\n-1\n3", "testtype": "stdin" } ], "style": "rule" }
{ "index": 57, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThe Manhattan distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is defined as: $$|x_1 - x_2| + |y_1 - y_2|.$$\n\nWe call a Manhattan t...
code
{ "ground_truth": [ { "input": "6\n6 4\n3 1\n0 0\n0 -2\n5 -3\n3 -5\n2 -2\n5 4\n0 0\n0 -2\n5 -3\n3 -5\n2 -2\n6 6\n3 1\n0 0\n0 -2\n5 -3\n3 -5\n2 -2\n4 4\n3 0\n0 3\n-3 0\n0 -3\n10 8\n2 1\n-5 -1\n-4 -1\n-5 -3\n0 1\n-2 5\n-4 4\n-4 2\n0 0\n-4 1\n4 400000\n100000 100000\n-100000 100000\n100000 -100000\n-100000 -100000", "metadata": { "func_name": null }, "output": "2 6 1\n4 3 5\n3 5 1\n0 0 0\n6 1 3\n0 0 0", "testtype": "stdin" } ], "style": "rule" }
{ "index": 58, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThis is an interactive problem.\n\nKostyanych has chosen a complete undirected graph$^{\\dagger}$ with $n$ vertices, and then removed exactly ...
code
{ "ground_truth": [ { "input": "3\n4\n\n0 0\n\n1 4\n\n2 3\n\n4\n\n1 0\n\n4 2\n\n2\n\n1 0", "metadata": { "func_name": null }, "output": "? 3\n\n? 2\n\n? 1\n\n! 4 3 1 2\n\n? 3\n\n? 0\n\n! 4 1 2 3\n\n? 0\n\n! 2 1", "testtype": "stdin" } ], "style": "rule" }
{ "index": 59, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nVlad is planning to hold $m$ rounds next month. Each round should contain one problem of difficulty levels 'A', 'B', 'C', 'D', 'E', 'F', and '...
code
{ "ground_truth": [ { "input": "3\n10 1\nBGECDCBDED\n10 2\nBGECDCBDED\n9 1\nBBCDEFFGG", "metadata": { "func_name": null }, "output": "2\n5\n1", "testtype": "stdin" } ], "style": "rule" }
{ "index": 60, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nDmitry has $n$ cubes, numbered from left to right from $1$ to $n$. The cube with index $f$ is his favorite.\n\nDmitry threw all the cubes on t...
code
{ "ground_truth": [ { "input": "12\n5 2 2\n4 3 3 2 3\n5 5 3\n4 2 1 3 5\n5 5 2\n5 2 4 1 3\n5 5 5\n1 2 5 4 3\n5 5 4\n3 1 2 4 5\n5 5 5\n4 3 2 1 5\n6 5 3\n1 2 3 1 2 3\n10 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1\n42\n5 2 3\n2 2 1 1 2\n2 1 1\n2 1\n5 3 1\n3 3 2 3 2", "metadata": { "func_name": null }, "output": "MAYBE\nYES\nNO\nYES\nYES\nYES\nMAYBE\nMAYBE\nYES\nYES\nYES\nNO", "testtype": "stdin" } ], "style": "rule" }
{ "index": 61, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nSofia had an array of $n$ integers $a_1, a_2, \\ldots, a_n$. One day she got bored with it, so she decided to sequentially apply $m$ modificat...
code
{ "ground_truth": [ { "input": "7\n3\n1 2 1\n1 3 2\n4\n1 3 1 2\n4\n1 2 3 5\n2 1 3 5\n2\n2 3\n5\n7 6 1 10 10\n3 6 1 11 11\n3\n4 3 11\n4\n3 1 7 8\n2 2 7 10\n5\n10 3 2 2 1\n5\n5 7 1 7 9\n4 10 1 2 9\n8\n1 1 9 8 7 2 10 4\n4\n1000000000 203 203 203\n203 1000000000 203 1000000000\n2\n203 1000000000\n1\n1\n1\n5\n1 3 4 5 1", "metadata": { "func_name": null }, "output": "YES\nNO\nNO\nNO\nYES\nNO\nYES", "testtype": "stdin" } ], "style": "rule" }
{ "index": 62, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nGCD (Greatest Common Divisor) of two integers $x$ and $y$ is the maximum integer $z$ by which both $x$ and $y$ are divisible. For example, $GC...
code
{ "ground_truth": [ { "input": "12\n6\n20 6 12 3 48 36\n4\n12 6 3 4\n3\n10 12 3\n5\n32 16 8 4 2\n5\n100 50 2 10 20\n4\n2 4 8 1\n10\n7 4 6 2 4 5 1 4 2 8\n7\n5 9 6 8 5 9 2\n6\n11 14 8 12 9 3\n9\n5 7 3 10 6 3 12 6 3\n3\n4 2 4\n8\n1 6 11 12 6 12 3 6", "metadata": { "func_name": null }, "output": "YES\nNO\nYES\nNO\nYES\nYES\nNO\nYES\nYES\nYES\nYES\nYES", "testtype": "stdin" } ], "style": "rule" }
{ "index": 63, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou have been given a matrix $a$ of size $n$ by $m$, containing a permutation of integers from $1$ to $n \\cdot m$.\n\nA permutation of $n$ in...
code
{ "ground_truth": [ { "input": "7\n1 1\n1\n1\n2 2\n1 2\n3 4\n4 3\n2 1\n2 2\n1 2\n3 4\n4 3\n1 2\n3 4\n1 5 9 6\n12 10 4 8\n7 11 3 2\n1 5 9 6\n12 10 4 8\n7 11 3 2\n3 3\n1 5 9\n6 4 2\n3 8 7\n9 5 1\n2 4 6\n7 8 3\n2 3\n1 2 6\n5 4 3\n6 1 2\n3 4 5\n1 5\n5 1 2 3 4\n4 2 5 1 3", "metadata": { "func_name": null }, "output": "YES\nYES\nNO\nYES\nYES\nNO\nYES", "testtype": "stdin" } ], "style": "rule" }
{ "index": 64, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThis is an easy version of the problem; it differs from the hard version only by the question. The easy version only needs you to print whethe...
code
{ "ground_truth": [ { "input": "5\n2 2 3\n1 1\n1 2\n2 2\n5 5 4\n1 2\n2 2\n3 4\n4 3\n2 5 9\n1 2\n1 5\n1 1\n2 2\n2 4\n2 5\n1 4\n2 3\n1 3\n6 4 4\n6 2\n1 3\n1 4\n1 2\n3 4 5\n2 1\n3 2\n1 4\n1 3\n2 4", "metadata": { "func_name": null }, "output": "1\n1 0 1 \n11\n0 1 0 1 \n1\n0 0 1 1 0 0 0 0 0 \n6\n1 0 0 0 \n1\n1 1 0 0 0", "testtype": "stdin" } ], "style": "rule" }
{ "index": 65, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThis is a hard version of the problem; it differs from the easy version only by the question. The easy version only needs you to print whether...
code
{ "ground_truth": [ { "input": "5\n2 2 3\n1 1\n1 2\n2 2\n5 5 4\n1 2\n2 2\n3 4\n4 3\n2 5 9\n1 2\n1 5\n1 1\n2 2\n2 4\n2 5\n1 4\n2 3\n1 3\n6 4 4\n6 2\n1 3\n1 4\n1 2\n3 4 5\n2 1\n3 2\n1 4\n1 3\n2 4", "metadata": { "func_name": null }, "output": "1\n1 0 1 \n11\n0 1 0 4 \n1\n0 0 1 1 0 0 0 0 0 \n6\n15 0 0 0 \n1\n2 3 0 0 0", "testtype": "stdin" } ], "style": "rule" }
{ "index": 66, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYasya was walking in the forest and accidentally found a tree with $n$ vertices. A tree is a connected undirected graph with no cycles.\n\nNex...
code
{ "ground_truth": [ { "input": "2\n3 7\n1 2 1\n3 1 8\n^ 5\n? 2 9\n^ 1\n? 1 10\n^ 6\n? 3 1\n? 2 9\n5 6\n1 2 777\n3 2 2812\n4 1 16\n5 3 1000000000\n^ 4\n? 3 123\n? 5 1000000000\n^ 1000000000\n? 1 908070\n? 2 1", "metadata": { "func_name": null }, "output": "13 15 11 10 \n1000000127 2812 999756331 999999756", "testtype": "stdin" }, { "input": "3\n8 4\n8 6 3\n6 3 4\n2 5 4\n7 6 2\n7 1 10\n4 1 4\n5 1 2\n^ 4\n^ 7\n? 7 8\n? 4 10\n5 6\n3 1 4\n2 3 9\n4 3 6\n5 2 10\n? 5 7\n^ 1\n^ 8\n? 4 10\n? 1 9\n? 3 6\n4 2\n2 1 4\n4 3 5\n2 3 4\n^ 13\n? 1 10", "metadata": { "func_name": null }, "output": "14 13 \n13 8 11 11 \n10", "testtype": "stdin" } ], "style": "rule" }
{ "index": 67, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nTurtle and Piggy are playing a number game.\n\nFirst, Turtle will choose an integer $x$, such that $l \\le x \\le r$, where $l, r$ are given. ...
code
{ "ground_truth": [ { "input": "5\n2 4\n3 6\n2 15\n6 22\n114514 1919810", "metadata": { "func_name": null }, "output": "2\n2\n3\n4\n20", "testtype": "stdin" } ], "style": "rule" }
{ "index": 68, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nThere is a sequence $a_0, a_1, a_2, \\ldots$ of infinite length. Initially $a_i = i$ for every non-negative integer $i$.\n\nAfter every second...
code
{ "ground_truth": [ { "input": "9\n0 0\n0 1\n0 2\n1 0\n5 2\n10 1\n20 3\n1145 14\n19198 10", "metadata": { "func_name": null }, "output": "0\n1\n3\n1\n7\n11\n23\n1279\n19455", "testtype": "stdin" } ], "style": "rule" }
{ "index": 69, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nTurtle was playing with a sequence $a_1, a_2, \\ldots, a_n$ consisting of positive integers. Unfortunately, some of the integers went missing ...
code
{ "ground_truth": [ { "input": "9\n8\n-1 -1 -1 2 -1 -1 1 -1\n4\n-1 -1 -1 -1\n6\n3 -1 -1 -1 9 -1\n4\n-1 5 -1 6\n4\n2 -1 -1 3\n4\n1 2 3 4\n2\n4 2\n5\n-1 3 -1 3 6\n13\n-1 -1 3 -1 -1 -1 -1 7 -1 -1 3 -1 -1", "metadata": { "func_name": null }, "output": "4 9 4 2 4 2 1 2\n7 3 6 13\n3 1 2 4 9 18\n-1\n-1\n-1\n4 2\n6 3 1 3 6\n3 1 3 1 3 7 3 7 3 1 3 1 3", "testtype": "stdin" } ], "style": "rule" }
{ "index": 70, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nTurtle just learned how to multiply two integers in his math class, and he was very excited.\n\nThen Piggy gave him an integer $n$, and asked ...
code
{ "ground_truth": [ { "input": "3\n2\n3\n4", "metadata": { "func_name": null }, "output": "114514 114514\n1 2 2\n3 3 4 4", "testtype": "stdin" } ], "style": "rule" }
{ "index": 71, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nTurtle just received $n$ segments and a sequence $a_1, a_2, \\ldots, a_n$. The $i$-th segment is $[l_i, r_i]$.\n\nTurtle will create an undire...
code
{ "ground_truth": [ { "input": "4\n5\n1 7 3\n2 4 6\n3 5 5\n6 7 9\n3 4 4\n5\n2 7 3\n1 3 6\n4 5 5\n6 7 9\n1 1 4\n4\n1 4 3\n1 2 1\n3 4 5\n1 4 4\n3\n1 3 1\n2 3 3\n4 5 8", "metadata": { "func_name": null }, "output": "9\n13\n4\n-1", "testtype": "stdin" } ], "style": "rule" }
{ "index": 72, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nNote the unusual definition of $\\text{MEX}$ in this problem.\n\nPiggy gave Turtle a binary tree$^{\\dagger}$ with $n$ vertices and a sequence...
code
{ "ground_truth": [ { "input": "5\n5\n3 2 2 1 1\n1 1 2 2\n5\n3 2 1 1 1\n1 1 2 2\n6\n1 2 1 2 1 3\n1 2 3 3 4\n7\n2 1 2 3 1 2 1\n1 1 2 2 3 3\n10\n1 2 2 1 4 2 3 1 2 1\n1 1 2 2 3 3 4 5 5", "metadata": { "func_name": null }, "output": "4\n6\n6\n6\n7", "testtype": "stdin" } ], "style": "rule" }
{ "index": 73, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nDima loves watching soccer. In such a game, the score on the scoreboard is represented as $x$ : $y$, where $x$ is the number of goals of the f...
code
{ "ground_truth": [ { "input": "6\n1 0\n5 0\n1 2\n3 2\n1 2\n4 5\n1 2\n4 3\n1 2\n1 2\n998244353 0\n1000000000 999999999", "metadata": { "func_name": null }, "output": "YES\nNO\nYES\nNO\nYES\nYES", "testtype": "stdin" } ], "style": "rule" }
{ "index": 74, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nRecently, the first-year student Maxim learned about the Collatz conjecture, but he didn't pay much attention during the lecture, so he believ...
code
{ "ground_truth": [ { "input": "13\n1 3 1\n2 3 1\n24 5 5\n16 3 2\n2 2 1\n1337 18 1\n1 2 144133\n12345678 3 10\n998244353 2 998244353\n998244353 123456789 998244352\n998244354 998241111 998244352\n998244355 2 9982443\n1000000000 1000000000 1000000000", "metadata": { "func_name": null }, "output": "2\n1\n1\n2\n3\n1338\n1\n16936\n1\n21180097\n6486\n1\n2", "testtype": "stdin" } ], "style": "rule" }
{ "index": 75, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nOn another boring day, Egor got bored and decided to do something. But since he has no friends, he came up with a game to play.\n\nEgor has a ...
code
{ "ground_truth": [ { "input": "8\n5 3 10\n2 1 11 3 7\n10 1 5\n17 8 12 11 7 11 21 13 10 8\n3 4 5\n3 4 2\n8 12 25\n10 7 5 13 8 9 12 7\n2 3 3\n5 2\n9 7 9\n2 10 5 1 3 7 6 2 3\n1 8 10\n9\n5 5 6\n1 4 2 6 4", "metadata": { "func_name": null }, "output": "3\n0\n1\n4\n0\n3\n1\n2", "testtype": "stdin" } ], "style": "rule" }
{ "index": 76, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nNikita loves mountains and has finally decided to visit the Berlyand mountain range! The range was so beautiful that Nikita decided to capture...
code
{ "ground_truth": [ { "input": "8\n3 3 2\n7 11 3\n4 2 3\n0 1 15\n100\n010\n000\n4 4 3\n123 413 24 233\n123 42 0 216\n22 1 1 53\n427 763 22 6\n0101\n1111\n1010\n0101\n3 3 2\n2 1 1\n1 1 2\n1 5 4\n010\n101\n010\n3 3 2\n2 1 1\n1 1 2\n1 5 3\n010\n101\n010\n3 4 3\n46 49 50 1\n19 30 23 12\n30 25 1 46\n1000\n0100\n0010\n5 4 4\n39 30 0 17\n22 42 30 13\n10 44 46 35\n12 19 9 39\n21 0 45 40\n1000\n1111\n0011\n0111\n1100\n2 2 2\n3 4\n6 7\n00\n00\n2 2 2\n0 0\n2 0\n01\n00", "metadata": { "func_name": null }, "output": "YES\nNO\nYES\nNO\nYES\nNO\nYES\nYES", "testtype": "stdin" } ], "style": "rule" }
{ "index": 77, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nLet $bit(x)$ denote the number of ones in the binary representation of a non-negative integer $x$.\n\nA subarray of an array is called $k$-goo...
code
{ "ground_truth": [ { "input": "10\n6 1\n16 2\n1 1\n3 1\n31 3\n14 1\n1337 5\n100000 20\n795569939321040850 56\n576460752303423268 59", "metadata": { "func_name": null }, "output": "7\n35\n1\n6\n155\n8\n7323\n49965\n741136395\n66679884", "testtype": "stdin" } ], "style": "rule" }
{ "index": 78, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nYou have an array $a$ of $n$ elements. There are also $q$ modifications of the array. Before the first modification and after each modificatio...
code
{ "ground_truth": [ { "input": "2\n5\n2 2 3 4 5\n3\n2 1\n4 1\n1 1\n5\n1 2 3 4 5\n9\n1 4\n2 3\n5 2\n3 1\n1 1\n5 1\n4 1\n3 1\n2 1", "metadata": { "func_name": null }, "output": "-1 -1\n1 2\n1 4\n3 4\n-1 -1\n1 3\n1 3\n1 5\n1 5\n2 5\n2 5\n2 5\n2 5\n-1 -1", "testtype": "stdin" } ], "style": "rule" }
{ "index": 79, "solution": "", "split": "test" }
codeforces
[ { "content": "You are a helpful assistant.", "role": "system" }, { "content": "Solve the following coding problem using the programming language python:\n\n\nAn array of integers $a_1,a_2,\\cdots,a_n$ is beautiful subject to an integer $k$ if it satisfies the following:\n\n * The sum of $a_{j}$ ove...
code
{ "ground_truth": [ { "input": "3\n3\n6\n7", "metadata": { "func_name": null }, "output": "4 22 18\n10 6 15 32 125 54\n23 18 27 36 5 66 7", "testtype": "stdin" } ], "style": "rule" }
{ "index": 80, "solution": "", "split": "test" }
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