context
list | gen_kwargs
dict | repeat_idx
int64 | request_idx
int64 | task_name
string | metadata
dict | model_outputs
string |
|---|---|---|---|---|---|---|
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.The AtCoder company office is represented as a grid of H rows and W columns. Let (i, j) denote the cell at the i-th row from the top and j-th column from the left.\nThe state of each cell is represented by a character S_{i,j}. If S_{i,j} is #, that cell has a wall; if S_{i,j} is ., that cell is a floor; if S_{i,j} is H, that cell has a humidifier placed on a floor cell.\nA certain cell is considered humidified if it can be reached from at least one humidifier cell by at most D moves up, down, left, or right without passing through a wall. Note that any cell with a humidifier is always humidified.\nFind the number of humidified floor cells.\n\nInput\n\nThe input is given from Standard Input in the following format:\nH W D\r\nS_{1,1}S_{1,2}\\cdotsS_{1,W}\r\nS_{2,1}S_{2,2}\\cdotsS_{2,W}\r\n\\vdots\r\nS_{H,1}S_{H,2}\\cdotsS_{H,W}\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- 1 \\leq H \\leq 1000\n- 1 \\leq W \\leq 1000\n- 0 \\leq D \\leq H\\times W\n- S_{i,j} is #, ., or H. (1 \\leq i \\leq H, 1 \\leq j \\leq W)\n- All input numbers are integers.\n\nSample Input 1\n\n3 4 1\r\nH...\r\n#..H\r\n.#.#\n\nSample Output 1\n\n5\r\n\nFive cells (1,1), (1,2), (1,4), (2,3), (2,4) are humidified.\n\nSample Input 2\n\n5 6 2\r\n##...H\r\nH.....\r\n..H.#.\r\n.HH...\r\n.###..\n\nSample Output 2\n\n21\n\nSample Input 3\n\n1 6 3\r\n...#..\n\nSample Output 3\n\n0\r\n\nIt is possible that no cells are humidified.",
"role": "user"
}
] |
{
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
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| 2 | 262 |
LiveCodeBenchV5
|
{
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
}
|
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!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|
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a tree with N vertices. The i-th edge (1 \\leq i \\leq N-1) connects vertices u_i and v_i bidirectionally.\nAdding one undirected edge to the given tree always yields a graph with exactly one cycle.\nAmong such graphs, how many satisfy all of the following conditions?\n\n- The graph is simple.\n- All vertices in the cycle have degree 3.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nu_1 v_1\r\nu_2 v_2\r\n\\vdots\r\nu_{N-1} v_{N-1}\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- 3 \\leq N \\leq 2 \\times 10^5\n- 1 \\leq u_i, v_i \\leq N\n- The given graph is a tree.\n- All input values are integers.\n\nSample Input 1\n\n6\r\n1 2\r\n2 3\r\n3 4\r\n4 5\r\n3 6\n\nSample Output 1\n\n1\r\n\nAdding an edge connecting vertices 2 and 4 yields a simple graph where all vertices in the cycle have degree 3, so it satisfies the conditions.\n\nSample Input 2\n\n7\r\n1 2\r\n2 7\r\n3 5\r\n7 3\r\n6 2\r\n4 7\n\nSample Output 2\n\n0\r\n\nThere are cases where no graphs satisfy the conditions.\n\nSample Input 3\n\n15\r\n1 15\r\n11 14\r\n2 10\r\n1 7\r\n9 8\r\n6 9\r\n4 12\r\n14 5\r\n4 9\r\n8 11\r\n7 4\r\n1 13\r\n3 6\r\n11 10\n\nSample Output 3\n\n6",
"role": "user"
}
] |
{
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
}
| 1 | 233 |
LiveCodeBenchV5
|
{
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
}
|
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There are N slimes lined up in a row from left to right.\r\nFor i = 1, 2, \\ldots, N, the i-th slime from the left has size A_i.\r\nFor each K = 1, 2, \\ldots, N, solve the following problem.\n\nTakahashi is the K-th slime from the left in the initial state.\r\nFind the maximum size that he can have after performing the following action any number of times, possibly zero:\n\n- Choose a slime adjacent to him that is strictly smaller than him, and absorb it.\r\nAs a result, the absorbed slime disappears, and Takahashi's size increases by the size of the absorbed slime.\n\nWhen a slime disappears due to absorption, the gap is immediately closed, and the slimes that were adjacent to the disappearing slime (if they exist) become adjacent (see the explanation in Sample Input 1).\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nA_1 A_2 \\ldots A_N\n\nOutput\n\nPrint the answers B_K for each K = 1, 2, \\ldots, N, separated by spaces, in the following format:\nB_1 B_2 \\ldots B_N\n\nConstraints\n\n\n- 2 \\leq N \\leq 5 \\times 10^5\n- 1 \\leq A_i \\leq 10^9\n- All input values are integers.\n\nSample Input 1\n\n6\r\n4 13 2 3 2 6\n\nSample Output 1\n\n4 30 2 13 2 13\r\n\nAs an example, consider the problem for K = 4.\r\nWe will refer to the sizes of the remaining slimes, listed from left to right, with Takahashi's size enclosed in square brackets [ ], as the state of the row.\r\nThat is, the initial state is (4, 13, 2, [3], 2, 6). Consider the following sequence of actions by Takahashi.\n\n- He absorbs the slime to his right. As a result, the absorbed slime disappears, and his size becomes 3 + 2 = 5. The state becomes (4, 13, 2, [5], 6).\n- He absorbs the slime to his left. As a result, the absorbed slime disappears, and his size becomes 5 + 2 = 7. The state becomes (4, 13, [7], 6).\n- He absorbs the slime to his right. As a result, the absorbed slime disappears, and his size becomes 7 + 6 = 13. The state becomes (4, 13, [13]).\n\nThere are no slimes adjacent to him that are strictly smaller than him, so he cannot perform any more actions. His final size is 13, which is the maximum possible.\n\nSample Input 2\n\n12\r\n22 25 61 10 21 37 2 14 5 8 6 24\n\nSample Output 2\n\n22 47 235 10 31 235 2 235 5 235 6 235",
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"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a string target.\nAlice is going to type target on her computer using a special keyboard that has only two keys:\n\nKey 1 appends the character \"a\" to the string on the screen.\nKey 2 changes the last character of the string on the screen to its next character in the English alphabet. For example, \"c\" changes to \"d\" and \"z\" changes to \"a\".\n\nNote that initially there is an empty string \"\" on the screen, so she can only press key 1.\nReturn a list of all strings that appear on the screen as Alice types target, in the order they appear, using the minimum key presses.\n \nExample 1:\n\nInput: target = \"abc\"\nOutput: [\"a\",\"aa\",\"ab\",\"aba\",\"abb\",\"abc\"]\nExplanation:\nThe sequence of key presses done by Alice are:\n\nPress key 1, and the string on the screen becomes \"a\".\nPress key 1, and the string on the screen becomes \"aa\".\nPress key 2, and the string on the screen becomes \"ab\".\nPress key 1, and the string on the screen becomes \"aba\".\nPress key 2, and the string on the screen becomes \"abb\".\nPress key 2, and the string on the screen becomes \"abc\".\n\n\nExample 2:\n\nInput: target = \"he\"\nOutput: [\"a\",\"b\",\"c\",\"d\",\"e\",\"f\",\"g\",\"h\",\"ha\",\"hb\",\"hc\",\"hd\",\"he\"]\n\n \nConstraints:\n\n1 <= target.length <= 400\ntarget consists only of lowercase English letters.",
"role": "user"
}
] |
{
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
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| 0 | 309 |
LiveCodeBenchV5
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"expected_answer": "",
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|
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|
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given two strings word1 and word2.\nA string x is called valid if x can be rearranged to have word2 as a prefix.\nReturn the total number of valid substrings of word1.\n \nExample 1:\n\nInput: word1 = \"bcca\", word2 = \"abc\"\nOutput: 1\nExplanation:\nThe only valid substring is \"bcca\" which can be rearranged to \"abcc\" having \"abc\" as a prefix.\n\nExample 2:\n\nInput: word1 = \"abcabc\", word2 = \"abc\"\nOutput: 10\nExplanation:\nAll the substrings except substrings of size 1 and size 2 are valid.\n\nExample 3:\n\nInput: word1 = \"abcabc\", word2 = \"aaabc\"\nOutput: 0\n\n \nConstraints:\n\n1 <= word1.length <= 10^5\n1 <= word2.length <= 10^4\nword1 and word2 consist only of lowercase English letters.",
"role": "user"
}
] |
{
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
}
| 0 | 193 |
LiveCodeBenchV5
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{
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
}
|
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There are N toys numbered from 1 to N, and N-1 boxes numbered from 1 to N-1.\r\nToy i\\ (1 \\leq i \\leq N) has a size of A_i, and box i\\ (1 \\leq i \\leq N-1) has a size of B_i.\nTakahashi wants to store all the toys in separate boxes, and he has decided to perform the following steps in order:\n\n- Choose an arbitrary positive integer x and purchase one box of size x.\n- Place each of the N toys into one of the N boxes (the N-1 existing boxes plus the newly purchased box).\r\nHere, each toy can only be placed in a box whose size is not less than the toy's size, and no box can contain two or more toys.\n\nHe wants to execute step 2 by purchasing a sufficiently large box in step 1, but larger boxes are more expensive, so he wants to purchase the smallest possible box.\nDetermine whether there exists a value of x such that he can execute step 2, and if it exists, find the minimum such x.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nA_1 A_2 \\dots A_N\r\nB_1 B_2 \\dots B_{N-1}\n\nOutput\n\nIf there exists a value of x such that Takahashi can execute step 2, print the minimum such x. Otherwise, print -1.\n\nConstraints\n\n\n- 2 \\leq N \\leq 2 \\times 10^5\n- 1 \\leq A_i, B_i \\leq 10^9\n- All input values are integers.\n\nSample Input 1\n\n4\r\n5 2 3 7\r\n6 2 8\n\nSample Output 1\n\n3\r\n\nConsider the case where x=3 (that is, he purchases a box of size 3 in step 1).\nIf the newly purchased box is called box 4, toys 1,\\dots,4 have sizes of 5, 2, 3, and 7, respectively, and boxes 1,\\dots,4 have sizes of 6, 2, 8, and 3, respectively.\r\nThus, toy 1 can be placed in box 1, toy 2 in box 2, toy 3 in box 4, and toy 4 in box 3.\nOn the other hand, if x \\leq 2, it is impossible to place all N toys into separate boxes.\r\nTherefore, the answer is 3.\n\nSample Input 2\n\n4\r\n3 7 2 5\r\n8 1 6\n\nSample Output 2\n\n-1\r\n\nNo matter what size of box is purchased in step 1, no toy can be placed in box 2, so it is impossible to execute step 2.\n\nSample Input 3\n\n8\r\n2 28 17 39 57 56 37 32\r\n34 27 73 28 76 61 27\n\nSample Output 3\n\n37",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is a keyboard with 26 keys arranged on a number line.\nThe arrangement of this keyboard is represented by a string S, which is a permutation of ABCDEFGHIJKLMNOPQRSTUVWXYZ.\r\nThe key corresponding to the character S_x is located at coordinate x (1 \\leq x \\leq 26). Here, S_x denotes the x-th character of S.\nYou will use this keyboard to input ABCDEFGHIJKLMNOPQRSTUVWXYZ in this order, typing each letter exactly once with your right index finger.\r\nTo input a character, you need to move your finger to the coordinate of the key corresponding to that character and press the key.\nInitially, your finger is at the coordinate of the key corresponding to A. Find the minimal possible total traveled distance of your finger from pressing the key for A to pressing the key for Z. Here, pressing a key does not contribute to the distance.\n\nInput\n\nThe input is given from Standard Input in the following format:\nS\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- S is a permutation of ABCDEFGHIJKLMNOPQRSTUVWXYZ.\n\nSample Input 1\n\nABCDEFGHIJKLMNOPQRSTUVWXYZ\n\nSample Output 1\n\n25\r\n\nFrom pressing the key for A to pressing the key for Z, you need to move your finger 1 unit at a time in the positive direction, resulting in a total traveled distance of 25. It is impossible to press all keys with a total traveled distance less than 25, so print 25.\n\nSample Input 2\n\nMGJYIZDKSBHPVENFLQURTCWOAX\n\nSample Output 2\n\n223",
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"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given a string s and an integer k, return the total number of substrings of s where at least one character appears at least k times.\n \nExample 1:\n\nInput: s = \"abacb\", k = 2\nOutput: 4\nExplanation:\nThe valid substrings are:\n\n\"aba\" (character 'a' appears 2 times).\n\"abac\" (character 'a' appears 2 times).\n\"abacb\" (character 'a' appears 2 times).\n\"bacb\" (character 'b' appears 2 times).\n\n\nExample 2:\n\nInput: s = \"abcde\", k = 1\nOutput: 15\nExplanation:\nAll substrings are valid because every character appears at least once.\n\n \nConstraints:\n\n1 <= s.length <= 3000\n1 <= k <= s.length\ns consists only of lowercase English letters.",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.All KEYENCE product names consist of two uppercase English letters.\r\nThey have already used N product names, the i-th of which (1\\leq i\\leq N) is S_i.\r\nOnce a product name is used, it cannot be reused, so they decided to create an NG (Not Good) list to quickly identify previously used product names.\nThe NG list must satisfy the following conditions.\n\n- It consists of one or more strings, each consisting of uppercase English letters.\n- For each already used product name, there exists at least one string in the list that contains the name as a (contiguous) substring.\n- None of the strings in the list contain any length-2 (contiguous) substring that is not an already used product name.\n\nFind the minimum possible number of strings in the NG list.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nS_1\r\nS_2\r\n\\vdots\r\nS_N\n\nOutput\n\nPrint the minimum possible number of strings in the NG list.\n\nConstraints\n\n\n- 1\\leq N\\leq 26^2\n- N is an integer.\n- Each S_i is a string of length 2 consisting of uppercase English letters.\n- All S_1,S_2,\\ldots,S_N are distinct.\n\nSample Input 1\n\n7\r\nAB\r\nBC\r\nCA\r\nCD\r\nDE\r\nDF\r\nXX\n\nSample Output 1\n\n3\r\n\nOne NG list satisfying the conditions is the one consisting of the following three strings:\n\n- CABCDE\n- DF\n- XX\n\nThis has three strings, and there is no NG list satisfying the conditions with 2 or fewer strings, so print 3.\n\nSample Input 2\n\n5\r\nAC\r\nBC\r\nCD\r\nDE\r\nDF\n\nSample Output 2\n\n2\r\n\nOne NG list satisfying the conditions is the one consisting of the following two strings:\n\n- ACDE\n- BCDF\n\nNote that each used product name may appear in multiple strings in the NG list or multiple times within the same string.\n\nSample Input 3\n\n6\r\nAB\r\nAC\r\nCB\r\nAD\r\nDB\r\nBA\n\nSample Output 3\n\n1\r\n\nFor example, an NG list consisting only of ABACBADB satisfies the conditions.",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is a village with N villagers numbered from 1 to N.\nEach villager is honest or a liar. Additionally, some villagers are confused.\nYou have obtained M testimonies from the villagers. Each testimony is given by A_i, B_i, C_i for i=1,2,\\ldots,M, representing:\n\n- If C_i=0, villager A_i testified that villager B_i is honest.\n- If C_i=1, villager A_i testified that villager B_i is a liar.\n\nAll villagers know whether every other villager is honest or a liar, and you know that they made their testimonies to you according to the following rules:\n\n- An honest villager who is not confused always tells the truth.\n- A liar who is not confused always tells lies.\n- A confused honest villager always tells lies.\n- A confused liar always tells the truth.\n\nIn other words, if they are not confused, honest villagers always tell the truth, and liars always tell lies, but if they are confused, it is reversed.\nYou have decided to guess the set of villagers who are confused.\nGiven a choice of villagers who are confused, whether the set of testimonies \"contradicts\" or not is determined.\nHere, a set of testimonies is said to contradict if, no matter how you assign honest or liar statuses to the villagers, there is at least one testimony that violates the villagers' testimony rules.\nFind a set of confused villagers such that the given set of testimonies does not contradict.\nIf no such set of confused villagers exists, indicate that fact.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\nA_1 B_1 C_1\nA_2 B_2 C_2\n\\vdots\nA_M B_M C_M\n\nOutput\n\nIf there exists a set of confused villagers such that the given set of testimonies does not contradict, print a string of length N representing the set of confused villagers. In this string, the i-th character should be 1 if villager i is confused, and 0 otherwise.\nIf no such set of confused villagers exists, print -1.\n\nConstraints\n\n\n- 2 \\leq N \\leq 2 \\times 10^5\n- 0 \\leq M \\leq \\mathrm{min} \\lbrace 2 \\times 10^5,N(N-1) \\rbrace \n- 1 \\leq A_i, B_i \\leq N, A_i \\neq B_i\n- A_i \\neq A_j or B_i \\neq B_j for i \\neq j.\n- C_i = 0 or 1.\n- All input values are integers.\n\nSample Input 1\n\n3 3\n1 2 1\n1 3 0\n2 3 0\n\nSample Output 1\n\n010\n\nSuppose villager 1 is an honest villager who is not confused, villager 2 is a confused liar, and villager 3 is an honest villager who is not confused.\nIn this case, villager 1 correctly testifies that villager 2 is a liar and villager 3 is honest.\nAlso, villager 2, who is a liar but confused, tells the truth and testifies that villager 3 is honest.\nTherefore, all given testimonies are consistent with the villagers' testimony rules, so 010, indicating that only villager 2 is confused, is one valid output.\n\nSample Input 2\n\n3 6\n1 2 1\n1 3 0\n2 1 1\n2 3 0\n3 1 1\n3 2 0\n\nSample Output 2\n\n-1\n\nSuppose villagers 2 and 3 are confused.\nIn this case, there are 2^3=8 possible combinations for whether each villager is honest or a liar.\nAmong them, for example, if villager 1 is an honest villager who is not confused, villager 2 is a confused liar, and villager 3 is a confused honest villager, then according to the rules, villager 2 should tell the truth, but they falsely testify that villager 1 is a liar.\nYou can confirm that also in other combinations, there will be some testimonies that violate the rules.\nTherefore, if villagers 2 and 3 are confused, the given set of testimonies contradicts.\nIn fact, in this test case, no matter which villagers are confused, the given set of testimonies contradicts.\n\nSample Input 3\n\n3 0\n\nSample Output 3\n\n000\n\nThere may be any number of confused villagers, possibly zero or all.",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.The AtCoder company office is represented as a grid of H rows and W columns. Let (i, j) denote the cell at the i-th row from the top and j-th column from the left.\nThe state of each cell is represented by a character S_{i,j}. If S_{i,j} is #, that cell has a wall; if S_{i,j} is ., that cell is a floor; if S_{i,j} is H, that cell has a humidifier placed on a floor cell.\nA certain cell is considered humidified if it can be reached from at least one humidifier cell by at most D moves up, down, left, or right without passing through a wall. Note that any cell with a humidifier is always humidified.\nFind the number of humidified floor cells.\n\nInput\n\nThe input is given from Standard Input in the following format:\nH W D\r\nS_{1,1}S_{1,2}\\cdotsS_{1,W}\r\nS_{2,1}S_{2,2}\\cdotsS_{2,W}\r\n\\vdots\r\nS_{H,1}S_{H,2}\\cdotsS_{H,W}\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- 1 \\leq H \\leq 1000\n- 1 \\leq W \\leq 1000\n- 0 \\leq D \\leq H\\times W\n- S_{i,j} is #, ., or H. (1 \\leq i \\leq H, 1 \\leq j \\leq W)\n- All input numbers are integers.\n\nSample Input 1\n\n3 4 1\r\nH...\r\n#..H\r\n.#.#\n\nSample Output 1\n\n5\r\n\nFive cells (1,1), (1,2), (1,4), (2,3), (2,4) are humidified.\n\nSample Input 2\n\n5 6 2\r\n##...H\r\nH.....\r\n..H.#.\r\n.HH...\r\n.###..\n\nSample Output 2\n\n21\n\nSample Input 3\n\n1 6 3\r\n...#..\n\nSample Output 3\n\n0\r\n\nIt is possible that no cells are humidified.",
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"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an array of integers nums of size 3.\nReturn the maximum possible number whose binary representation can be formed by concatenating the binary representation of all elements in nums in some order.\nNote that the binary representation of any number does not contain leading zeros.\n \nExample 1:\n\nInput: nums = [1,2,3]\nOutput: 30\nExplanation:\nConcatenate the numbers in the order [3, 1, 2] to get the result \"11110\", which is the binary representation of 30.\n\nExample 2:\n\nInput: nums = [2,8,16]\nOutput: 1296\nExplanation:\nConcatenate the numbers in the order [2, 8, 16] to get the result \"10100010000\", which is the binary representation of 1296.\n\n \nConstraints:\n\nnums.length == 3\n1 <= nums[i] <= 127",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given N strings.\nThe i-th string S_i (1 \\leq i \\leq N) is either Takahashi or Aoki.\nHow many i are there such that S_i is equal to Takahashi?\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nS_1\r\nS_2\r\n\\vdots\r\nS_N\n\nOutput\n\nPrint the count of i such that S_i is equal to Takahashi as an integer in a single line.\n\nConstraints\n\n\n- 1 \\leq N \\leq 100\n- N is an integer.\n- Each S_i is Takahashi or Aoki. (1 \\leq i \\leq N)\n\nSample Input 1\n\n3\r\nAoki\r\nTakahashi\r\nTakahashi\n\nSample Output 1\n\n2\r\n\nS_2 and S_3 are equal to Takahashi, while S_1 is not.\nTherefore, print 2.\n\nSample Input 2\n\n2\r\nAoki\r\nAoki\n\nSample Output 2\n\n0\r\n\nIt is possible that no S_i is equal to Takahashi.\n\nSample Input 3\n\n20\r\nAoki\r\nTakahashi\r\nTakahashi\r\nAoki\r\nAoki\r\nAoki\r\nAoki\r\nTakahashi\r\nAoki\r\nAoki\r\nAoki\r\nTakahashi\r\nTakahashi\r\nAoki\r\nTakahashi\r\nAoki\r\nAoki\r\nAoki\r\nAoki\r\nTakahashi\n\nSample Output 3\n\n7",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is a bottle of disinfectant that can disinfect exactly M hands.\nN aliens come one by one to disinfect their hands.\nThe i-th alien (1 \\leq i \\leq N) has H_i hands and wants to disinfect all of their hands once.\nDetermine how many aliens can disinfect all of their hands.\nHere, even if there is not enough disinfectant left for an alien to disinfect all of their hands when they start, they will use up the remaining disinfectant.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\nH_1 H_2 \\ldots H_N\n\nOutput\n\nPrint the number of aliens who can disinfect all of their hands.\n\nConstraints\n\n\n- 1 \\leq N, M \\leq 100\n- 1 \\leq H_i \\leq 100\n- All input values are integers.\n\nSample Input 1\n\n5 10\n2 3 2 5 3\n\nSample Output 1\n\n3\n\nThe aliens disinfect their hands in the following steps:\n\n- The first alien disinfects their two hands. The remaining disinfectant can disinfect 10-2=8 hands.\n- The second alien disinfects their three hands. The remaining disinfectant can disinfect 8-3=5 hands.\n- The third alien disinfects their two hands. The remaining disinfectant can disinfect 5-2=3 hands.\n- The fourth alien has five hands, but there is only enough disinfectant for three hands, so they use up the disinfectant without disinfecting all of their hands.\n\nThus, the first three aliens can disinfect all of their hands, so print 3.\n\nSample Input 2\n\n5 10\n2 3 2 3 5\n\nSample Output 2\n\n4\n\nSample Input 3\n\n1 5\n1\n\nSample Output 3\n\n1\n\nAll aliens can disinfect their hands.",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Takahashi is at the origin on a two-dimensional coordinate plane.\nThe cost for him to move from point (a, b) to point (c, d) is \\sqrt{(a - c)^2 + (b - d)^2}.\nFind the total cost when he starts at the origin, visits N points (X_1, Y_1), \\ldots, (X_N, Y_N) in this order, and then returns to the origin.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nX_1 Y_1\r\n\\vdots\r\nX_N Y_N\n\nOutput\n\nPrint the answer.\r\nYour output will be considered correct if its absolute or relative error from the true value is at most 10^{-6}.\n\nConstraints\n\n\n- 1 \\leq N \\leq 2 \\times 10^5\n- -10^9 \\leq X_i, Y_i \\leq 10^9\n- All input values are integers.\n\nSample Input 1\n\n2\r\n1 2\r\n-1 0\n\nSample Output 1\n\n6.06449510224597979401\r\n\nThe journey consists of the following three steps:\n\n- Move from (0, 0) to (1, 2). The cost is \\sqrt{(0 - 1)^2 + (0 - 2)^2} = \\sqrt{5} = 2.236067977....\n- Move from (1, 2) to (-1, 0). The cost is \\sqrt{(1 - (-1))^2 + (2 - 0)^2} = \\sqrt{8} = 2.828427124....\n- Move from (-1, 0) to (0, 0). The cost is \\sqrt{(-1 - 0)^2 + (0 - 0)^2} = \\sqrt{1} = 1.\n\nThe total cost is 6.064495102....\n\nSample Input 2\n\n7\r\n-14142 13562\r\n-17320 50807\r\n-22360 67977\r\n24494 89742\r\n-26457 51311\r\n28284 27124\r\n31622 77660\n\nSample Output 2\n\n384694.57587932075868509383\n\nSample Input 3\n\n5\r\n-100000 100000\r\n100000 -100000\r\n-100000 100000\r\n100000 -100000\r\n-100000 100000\n\nSample Output 3\n\n1414213.56237309504880168872",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is a village with N villagers numbered from 1 to N.\nEach villager is honest or a liar. Additionally, some villagers are confused.\nYou have obtained M testimonies from the villagers. Each testimony is given by A_i, B_i, C_i for i=1,2,\\ldots,M, representing:\n\n- If C_i=0, villager A_i testified that villager B_i is honest.\n- If C_i=1, villager A_i testified that villager B_i is a liar.\n\nAll villagers know whether every other villager is honest or a liar, and you know that they made their testimonies to you according to the following rules:\n\n- An honest villager who is not confused always tells the truth.\n- A liar who is not confused always tells lies.\n- A confused honest villager always tells lies.\n- A confused liar always tells the truth.\n\nIn other words, if they are not confused, honest villagers always tell the truth, and liars always tell lies, but if they are confused, it is reversed.\nYou have decided to guess the set of villagers who are confused.\nGiven a choice of villagers who are confused, whether the set of testimonies \"contradicts\" or not is determined.\nHere, a set of testimonies is said to contradict if, no matter how you assign honest or liar statuses to the villagers, there is at least one testimony that violates the villagers' testimony rules.\nFind a set of confused villagers such that the given set of testimonies does not contradict.\nIf no such set of confused villagers exists, indicate that fact.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\nA_1 B_1 C_1\nA_2 B_2 C_2\n\\vdots\nA_M B_M C_M\n\nOutput\n\nIf there exists a set of confused villagers such that the given set of testimonies does not contradict, print a string of length N representing the set of confused villagers. In this string, the i-th character should be 1 if villager i is confused, and 0 otherwise.\nIf no such set of confused villagers exists, print -1.\n\nConstraints\n\n\n- 2 \\leq N \\leq 2 \\times 10^5\n- 0 \\leq M \\leq \\mathrm{min} \\lbrace 2 \\times 10^5,N(N-1) \\rbrace \n- 1 \\leq A_i, B_i \\leq N, A_i \\neq B_i\n- A_i \\neq A_j or B_i \\neq B_j for i \\neq j.\n- C_i = 0 or 1.\n- All input values are integers.\n\nSample Input 1\n\n3 3\n1 2 1\n1 3 0\n2 3 0\n\nSample Output 1\n\n010\n\nSuppose villager 1 is an honest villager who is not confused, villager 2 is a confused liar, and villager 3 is an honest villager who is not confused.\nIn this case, villager 1 correctly testifies that villager 2 is a liar and villager 3 is honest.\nAlso, villager 2, who is a liar but confused, tells the truth and testifies that villager 3 is honest.\nTherefore, all given testimonies are consistent with the villagers' testimony rules, so 010, indicating that only villager 2 is confused, is one valid output.\n\nSample Input 2\n\n3 6\n1 2 1\n1 3 0\n2 1 1\n2 3 0\n3 1 1\n3 2 0\n\nSample Output 2\n\n-1\n\nSuppose villagers 2 and 3 are confused.\nIn this case, there are 2^3=8 possible combinations for whether each villager is honest or a liar.\nAmong them, for example, if villager 1 is an honest villager who is not confused, villager 2 is a confused liar, and villager 3 is a confused honest villager, then according to the rules, villager 2 should tell the truth, but they falsely testify that villager 1 is a liar.\nYou can confirm that also in other combinations, there will be some testimonies that violate the rules.\nTherefore, if villagers 2 and 3 are confused, the given set of testimonies contradicts.\nIn fact, in this test case, no matter which villagers are confused, the given set of testimonies contradicts.\n\nSample Input 3\n\n3 0\n\nSample Output 3\n\n000\n\nThere may be any number of confused villagers, possibly zero or all.",
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"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a binary string s representing a number n in its binary form.\nYou are also given an integer k.\nAn integer x is called k-reducible if performing the following operation at most k times reduces it to 1:\n\nReplace x with the count of set bits in its binary representation.\n\nFor example, the binary representation of 6 is \"110\". Applying the operation once reduces it to 2 (since \"110\" has two set bits). Applying the operation again to 2 (binary \"10\") reduces it to 1 (since \"10\" has one set bit).\nReturn an integer denoting the number of positive integers less than n that are k-reducible.\nSince the answer may be too large, return it modulo 10^9 + 7.\n \nExample 1:\n\nInput: s = \"111\", k = 1\nOutput: 3\nExplanation: \nn = 7. The 1-reducible integers less than 7 are 1, 2, and 4.\n\nExample 2:\n\nInput: s = \"1000\", k = 2\nOutput: 6\nExplanation:\nn = 8. The 2-reducible integers less than 8 are 1, 2, 3, 4, 5, and 6.\n\nExample 3:\n\nInput: s = \"1\", k = 3\nOutput: 0\nExplanation:\nThere are no positive integers less than n = 1, so the answer is 0.\n\n \nConstraints:\n\n1 <= s.length <= 800\ns has no leading zeros.\ns consists only of the characters '0' and '1'.\n1 <= k <= 5",
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|
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is a calculator with the buttons 00, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.\nWhen a string x is displayed on this calculator and you press a button b, the resulting displayed string becomes the string x with b appended to its end.\nInitially, the calculator displays the empty string (a string of length 0).\nFind the minimum number of button presses required to display the string S on this calculator.\n\nInput\n\nThe input is given from Standard Input in the following format:\nS\n\nOutput\n\nPrint the answer as an integer.\n\nConstraints\n\n\n- S is a string of length at least 1 and at most 1000, consisting of 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.\n- The first character of S is not 0.\n\nSample Input 1\n\n1000000007\n\nSample Output 1\n\n6\n\nTo display 1000000007, you can press the buttons 1, 00, 00, 00, 00, 7 in this order. The total number of button presses is 6, and this is the minimum possible.\n\nSample Input 2\n\n998244353\n\nSample Output 2\n\n9\n\nSample Input 3\n\n32000\n\nSample Output 3\n\n4",
"role": "user"
}
] |
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"seed": 2,
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LiveCodeBenchV5
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"expected_answer": "",
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!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|
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an integer array nums with length n.\nThe cost of a subarray nums[l..r], where 0 <= l <= r < n, is defined as:\ncost(l, r) = nums[l] - nums[l + 1] + ... + nums[r] * (−1)^r − l\nYour task is to split nums into subarrays such that the total cost of the subarrays is maximized, ensuring each element belongs to exactly one subarray.\nFormally, if nums is split into k subarrays, where k > 1, at indices i_1, i_2, ..., i_k − 1, where 0 <= i_1 < i_2 < ... < i_k - 1 < n - 1, then the total cost will be:\ncost(0, i_1) + cost(i_1 + 1, i_2) + ... + cost(i_k − 1 + 1, n − 1)\nReturn an integer denoting the maximum total cost of the subarrays after splitting the array optimally.\nNote: If nums is not split into subarrays, i.e. k = 1, the total cost is simply cost(0, n - 1).\n \nExample 1:\n\nInput: nums = [1,-2,3,4]\nOutput: 10\nExplanation:\nOne way to maximize the total cost is by splitting [1, -2, 3, 4] into subarrays [1, -2, 3] and [4]. The total cost will be (1 + 2 + 3) + 4 = 10.\n\nExample 2:\n\nInput: nums = [1,-1,1,-1]\nOutput: 4\nExplanation:\nOne way to maximize the total cost is by splitting [1, -1, 1, -1] into subarrays [1, -1] and [1, -1]. The total cost will be (1 + 1) + (1 + 1) = 4.\n\nExample 3:\n\nInput: nums = [0]\nOutput: 0\nExplanation:\nWe cannot split the array further, so the answer is 0.\n\nExample 4:\n\nInput: nums = [1,-1]\nOutput: 2\nExplanation:\nSelecting the whole array gives a total cost of 1 + 1 = 2, which is the maximum.\n\n \nConstraints:\n\n1 <= nums.length <= 10^5\n-10^9 <= nums[i] <= 10^9",
"role": "user"
}
] |
{
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
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| 1 | 64 |
LiveCodeBenchV5
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{
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.An election is being held with N candidates numbered 1, 2, \\ldots, N. There are K votes, some of which have been counted so far.\nUp until now, candidate i has received A_i votes.\nAfter all ballots are counted, candidate i (1 \\leq i \\leq N) will be elected if and only if the number of candidates who have received more votes than them is less than M. There may be multiple candidates elected.\nFor each candidate, find the minimum number of additional votes they need from the remaining ballots to guarantee their victory regardless of how the other candidates receive votes.\nFormally, solve the following problem for each i = 1,2,\\ldots,N.\nDetermine if there is a non-negative integer X not exceeding K - \\displaystyle{\\sum_{i=1}^{N}} A_i satisfying the following condition. If it exists, find the minimum possible such integer.\n\n- If candidate i receives X additional votes, then candidate i will always be elected.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M K\nA_1 A_2 \\ldots A_N\n\nOutput\n\nLet C_i be the minimum number of additional votes candidate i needs from the remaining ballots to guarantee their victory regardless of how other candidates receive votes. Print C_1, C_2, \\ldots, C_N separated by spaces.\nIf candidate i has already secured their victory, then let C_i = 0. If candidate i cannot secure their victory under any circumstances, then let C_i = -1.\n\nConstraints\n\n\n- 1 \\leq M \\leq N \\leq 2 \\times 10^5\n- 1 \\leq K \\leq 10^{12}\n- 0 \\leq A_i \\leq 10^{12}\n- \\displaystyle{\\sum_{i=1}^{N} A_i} \\leq K\n- All input values are integers.\n\nSample Input 1\n\n5 2 16\n3 1 4 1 5\n\nSample Output 1\n\n2 -1 1 -1 0\n\n14 votes have been counted so far, and 2 votes are left.\nThe C to output is (2, -1, 1, -1, 0). For example:\n\n- Candidate 1 can secure their victory by obtaining 2 more votes, while not by obtaining 1 more vote. Thus, C_1 = 2.\n- Candidate 2 can never (even if they obtain 2 more votes) secure their victory, so C_2 = -1.\n\nSample Input 2\n\n12 1 570\n81 62 17 5 5 86 15 7 79 26 6 28\n\nSample Output 2\n\n79 89 111 117 117 74 112 116 80 107 117 106",
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|
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given N linear functions f_1, f_2, \\ldots, f_N, where f_i(x) = A_i x + B_i.\nFind the maximum possible value of f_{p_1}(f_{p_2}(\\ldots f_{p_K}(1) \\ldots )) for a sequence p = (p_1, p_2, \\ldots, p_K) of K distinct integers between 1 and N, inclusive.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN K\nA_1 B_1\nA_2 B_2\n\\vdots\nA_N B_N\n\nOutput\n\nPrint the answer as an integer.\n\nConstraints\n\n\n- 1 \\leq N \\leq 2 \\times 10^{5}\n- 1 \\leq K \\leq \\text{min}(N,10)\n- 1 \\leq A_i, B_i \\leq 50 (1 \\leq i \\leq N)\n- All input values are integers.\n\nSample Input 1\n\n3 2\n2 3\n1 5\n4 2\n\nSample Output 1\n\n26\n\nHere are all possible p and the corresponding values of f_{p_1}(f_{p_2}(1)):\n\n- p= ( 1,2 ) : f_1(f_2(1))=15\n- p= ( 1,3 ) : f_1(f_3(1))=15\n- p= ( 2,1 ) : f_2(f_1(1))=10\n- p= ( 2,3 ) : f_2(f_3(1))=11\n- p= ( 3,1 ) : f_3(f_1(1))=22\n- p= ( 3,2 ) : f_3(f_2(1))=26\n\nTherefore, print 26.\n\nSample Input 2\n\n10 3\n48 40\n34 22\n24 37\n45 40\n48 31\n49 44\n45 40\n44 6\n35 22\n39 28\n\nSample Output 2\n\n216223",
"role": "user"
}
] |
{
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
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| 2 | 101 |
LiveCodeBenchV5
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"expected_answer": "",
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[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given three integers n, m, k. A good array arr of size n is defined as follows:\n\nEach element in arr is in the inclusive range [1, m].\nExactly k indices i (where 1 <= i < n) satisfy the condition arr[i - 1] == arr[i].\n\nReturn the number of good arrays that can be formed.\nSince the answer may be very large, return it modulo 10^9 + 7.\n \nExample 1:\n\nInput: n = 3, m = 2, k = 1\nOutput: 4\nExplanation:\n\nThere are 4 good arrays. They are [1, 1, 2], [1, 2, 2], [2, 1, 1] and [2, 2, 1].\nHence, the answer is 4.\n\n\nExample 2:\n\nInput: n = 4, m = 2, k = 2\nOutput: 6\nExplanation:\n\nThe good arrays are [1, 1, 1, 2], [1, 1, 2, 2], [1, 2, 2, 2], [2, 1, 1, 1], [2, 2, 1, 1] and [2, 2, 2, 1].\nHence, the answer is 6.\n\n\nExample 3:\n\nInput: n = 5, m = 2, k = 0\nOutput: 2\nExplanation:\n\nThe good arrays are [1, 2, 1, 2, 1] and [2, 1, 2, 1, 2]. Hence, the answer is 2.\n\n\n \nConstraints:\n\n1 <= n <= 10^5\n1 <= m <= 10^5\n0 <= k <= n - 1",
"role": "user"
}
] |
{
"do_sample": false,
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| 1 | 357 |
LiveCodeBenchV5
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"expected_answer": "",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.In AtCoder Land, there are N popcorn stands numbered 1 to N. They have M different flavors of popcorn, labeled 1, 2, \\dots, M, but not every stand sells all flavors of popcorn.\nTakahashi has obtained information about which flavors of popcorn are sold at each stand. This information is represented by N strings S_1, S_2, \\dots, S_N of length M. If the j-th character of S_i is o, it means that stand i sells flavor j of popcorn. If it is x, it means that stand i does not sell flavor j. Each stand sells at least one flavor of popcorn, and each flavor of popcorn is sold at least at one stand.\nTakahashi wants to try all the flavors of popcorn but does not want to move around too much. Determine the minimum number of stands Takahashi needs to visit to buy all the flavors of popcorn.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\r\nS_1\r\nS_2\r\n\\vdots\r\nS_N\n\nOutput\n\nPrint the minimum number of stands Takahashi needs to visit to buy all the flavors of popcorn.\n\nConstraints\n\n\n- N and M are integers.\n- 1 \\leq N, M \\leq 10\n- Each S_i is a string of length M consisting of o and x.\n- For every i (1 \\leq i \\leq N), there is at least one o in S_i.\n- For every j (1 \\leq j \\leq M), there is at least one i such that the j-th character of S_i is o.\n\nSample Input 1\n\n3 5\r\noooxx\r\nxooox\r\nxxooo\n\nSample Output 1\n\n2\r\n\nBy visiting the 1st and 3rd stands, you can buy all the flavors of popcorn. It is impossible to buy all the flavors from a single stand, so the answer is 2.\n\nSample Input 2\n\n3 2\r\noo\r\nox\r\nxo\n\nSample Output 2\n\n1\n\nSample Input 3\n\n8 6\r\nxxoxxo\r\nxxoxxx\r\nxoxxxx\r\nxxxoxx\r\nxxoooo\r\nxxxxox\r\nxoxxox\r\noxoxxo\n\nSample Output 3\n\n3",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.KEYENCE is famous for quick delivery.\n\nIn this problem, the calendar proceeds as Day 1, Day 2, Day 3, \\dots.\nThere are orders 1,2,\\dots,N, and it is known that order i will be placed on Day T_i.\r\nFor these orders, shipping is carried out according to the following rules.\n\n- At most K orders can be shipped together.\n- Order i can only be shipped on Day T_i or later.\n- Once a shipment is made, the next shipment cannot be made until X days later.\n- That is, if a shipment is made on Day a, the next shipment can be made on Day a+X.\n\n\n\nFor each day that passes from order placement to shipping, dissatisfaction accumulates by 1 per day.\r\nThat is, if order i is shipped on Day S_i, the dissatisfaction accumulated for that order is (S_i - T_i).\nFind the minimum possible total dissatisfaction accumulated over all orders when you optimally schedule the shipping dates.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN K X\r\nT_1 T_2 \\dots T_N\n\nOutput\n\nPrint the answer as an integer.\n\nConstraints\n\n\n- All input values are integers.\n- 1 \\le K \\le N \\le 100\n- 1 \\le X \\le 10^9\n- 1 \\le T_1 \\le T_2 \\le \\dots \\le T_N \\le 10^{12}\n\nSample Input 1\n\n5 2 3\r\n1 5 6 10 12\n\nSample Output 1\n\n2\r\n\nFor example, by scheduling shipments as follows, we can achieve a total dissatisfaction of 2, which is the minimum possible.\n\n- Ship order 1 on Day 1.\n- This results in dissatisfaction of (1-1) = 0, and the next shipment can be made on Day 4.\n\n\n- Ship orders 2 and 3 on Day 6.\n- This results in dissatisfaction of (6-5) + (6-6) = 1, and the next shipment can be made on Day 9.\n\n\n- Ship order 4 on Day 10.\n- This results in dissatisfaction of (10-10) = 0, and the next shipment can be made on Day 13.\n\n\n- Ship order 5 on Day 13.\n- This results in dissatisfaction of (13-12) = 1, and the next shipment can be made on Day 16.\n\nSample Input 2\n\n1 1 1000000000\r\n1000000000000\n\nSample Output 2\n\n0\n\nSample Input 3\n\n15 4 5\r\n1 3 3 6 6 6 10 10 10 10 15 15 15 15 15\n\nSample Output 3\n\n35",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.All KEYENCE product names consist of two uppercase English letters.\r\nThey have already used N product names, the i-th of which (1\\leq i\\leq N) is S_i.\r\nOnce a product name is used, it cannot be reused, so they decided to create an NG (Not Good) list to quickly identify previously used product names.\nThe NG list must satisfy the following conditions.\n\n- It consists of one or more strings, each consisting of uppercase English letters.\n- For each already used product name, there exists at least one string in the list that contains the name as a (contiguous) substring.\n- None of the strings in the list contain any length-2 (contiguous) substring that is not an already used product name.\n\nFind the minimum possible number of strings in the NG list.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nS_1\r\nS_2\r\n\\vdots\r\nS_N\n\nOutput\n\nPrint the minimum possible number of strings in the NG list.\n\nConstraints\n\n\n- 1\\leq N\\leq 26^2\n- N is an integer.\n- Each S_i is a string of length 2 consisting of uppercase English letters.\n- All S_1,S_2,\\ldots,S_N are distinct.\n\nSample Input 1\n\n7\r\nAB\r\nBC\r\nCA\r\nCD\r\nDE\r\nDF\r\nXX\n\nSample Output 1\n\n3\r\n\nOne NG list satisfying the conditions is the one consisting of the following three strings:\n\n- CABCDE\n- DF\n- XX\n\nThis has three strings, and there is no NG list satisfying the conditions with 2 or fewer strings, so print 3.\n\nSample Input 2\n\n5\r\nAC\r\nBC\r\nCD\r\nDE\r\nDF\n\nSample Output 2\n\n2\r\n\nOne NG list satisfying the conditions is the one consisting of the following two strings:\n\n- ACDE\n- BCDF\n\nNote that each used product name may appear in multiple strings in the NG list or multiple times within the same string.\n\nSample Input 3\n\n6\r\nAB\r\nAC\r\nCB\r\nAD\r\nDB\r\nBA\n\nSample Output 3\n\n1\r\n\nFor example, an NG list consisting only of ABACBADB satisfies the conditions.",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a sequence A of length N.\r\nFreely choose exactly K elements from A and remove them, then concatenate the remaining elements in their original order to form a new sequence B.\r\nFind the minimum possible value of this: the maximum value of B minus the minimum value of B.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN K\r\nA_1 A_2 \\dots A_N\n\nOutput\n\nPrint the answer as an integer.\n\nConstraints\n\n\n- All inputs are integers.\n- 1 \\le K < N \\le 2 \\times 10^5\n- 1 \\le A_i \\le 10^9\n\nSample Input 1\n\n5 2\r\n3 1 5 4 9\n\nSample Output 1\n\n2\r\n\nConsider removing exactly two elements from A=(3,1,5,4,9).\n\n- For example, if you remove the 2nd element 1 and the 5th element 9, the resulting sequence is B=(3,5,4).\n- In this case, the maximum value of B is 5 and the minimum value is 3, so (maximum value of B) - (minimum value of B) =2, which is the minimum possible value.\n\nSample Input 2\n\n6 5\r\n1 1 1 1 1 1\n\nSample Output 2\n\n0\n\nSample Input 3\n\n8 3\r\n31 43 26 6 18 36 22 13\n\nSample Output 3\n\n18",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is a directed graph with N vertices numbered 1 to N and N edges.\r\nThe out-degree of every vertex is 1, and the edge from vertex i points to vertex a_i.\r\nCount the number of pairs of vertices (u, v) such that vertex v is reachable from vertex u.\nHere, vertex v is reachable from vertex u if there exists a sequence of vertices w_0, w_1, \\dots, w_K of length K+1 that satisfies the following conditions. In particular, if u = v, it is always reachable.\n\n- w_0 = u.\n- w_K = v.\n- For every 0 \\leq i \\lt K, there is an edge from vertex w_i to vertex w_{i+1}.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\na_1 a_2 \\dots a_N\n\nOutput\n\nPrint the number of pairs of vertices (u, v) such that vertex v is reachable from vertex u.\n\nConstraints\n\n\n- 1 \\leq N \\leq 2 \\times 10^5\n- 1 \\leq a_i \\leq N\n- All input values are integers.\n\nSample Input 1\n\n4\r\n2 1 1 4\n\nSample Output 1\n\n8\r\n\nThe vertices reachable from vertex 1 are vertices 1, 2.\r\nThe vertices reachable from vertex 2 are vertices 1, 2.\r\nThe vertices reachable from vertex 3 are vertices 1, 2, 3.\r\nThe vertex reachable from vertex 4 is vertex 4.\r\nTherefore, the number of pairs of vertices (u, v) such that vertex v is reachable from vertex u is 8.\r\nNote that the edge from vertex 4 is a self-loop, that is, it points to vertex 4 itself.\n\nSample Input 2\n\n5\r\n2 4 3 1 2\n\nSample Output 2\n\n14\n\nSample Input 3\n\n10\r\n6 10 4 1 5 9 8 6 5 1\n\nSample Output 3\n\n41",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is an integer sequence S of length N. Initially, all elements of S are 0.\nYou are also given two integer sequences of length Q: P=(P_1,P_2,\\dots,P_Q) and V=(V_1,V_2,\\dots,V_Q).\nSnuke wants to perform Q operations on the sequence S in order. The i-th operation is as follows:\n\n- Perform one of the following:\n- Replace each of the elements S_1, S_2, \\dots, S_{P_i} with V_i. However, before this operation, if there is an element among S_1, S_2, \\dots, S_{P_i} that is strictly greater than V_i, Snuke will start crying.\n- Replace each of the elements S_{P_i}, S_{P_i+1}, \\dots, S_N with V_i. However, before this operation, if there is an element among S_{P_i}, S_{P_i+1}, \\dots, S_N that is strictly greater than V_i, Snuke will start crying.\n\n\n\nFind the number of sequences of Q operations where Snuke can perform all operations without crying, modulo 998244353.\nTwo sequences of operations are distinguished if and only if there is 1 \\leq i \\leq Q such that the choice for the i-th operation is different.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN Q\nP_1 V_1\nP_2 V_2\n\\vdots\nP_Q V_Q\n\nOutput\n\nPrint the answer as an integer.\n\nConstraints\n\n\n- 2 \\leq N \\leq 5000\n- 1 \\leq Q \\leq 5000\n- 1 \\leq P_i \\leq N\n- 1 \\leq V_i \\leq 10^9\n- All input values are integers.\n\nSample Input 1\n\n8 3\n1 8\n8 1\n2 1\n\nSample Output 1\n\n1\n\nSnuke can perform the three operations without crying as follows:\n\n- Replace S_1 with 8.\n- Replace S_8 with 1.\n- Replace S_2, S_3, \\dots, S_8 with 1.\n\nNo other sequences of operations satisfy the conditions, so the answer is 1. For example, if he replaces S_1, S_2, \\dots, S_8 with 8 in the first operation, he will cry in the second operation regardless of the choice.\n\nSample Input 2\n\n8 3\n8 1\n1 8\n1 2\n\nSample Output 2\n\n0\n\nNo matter how he performs the first two operations, he will cry in the third operation.\n\nSample Input 3\n\n241 82\n190 3207371\n229 3639088\n61 4428925\n84 17258698\n34 42692503\n207 59753183\n180 67198566\n78 99285033\n60 102449991\n234 122146510\n111 126959145\n141 152331579\n78 159855439\n11 169658471\n22 189991287\n37 204602946\n73 209329065\n72 215363269\n152 236450854\n175 237822921\n22 261431608\n144 252550201\n54 268889550\n238 276997357\n69 313065279\n226 330144323\n6 335788783\n126 345410019\n220 348318997\n166 365778763\n142 382251905\n200 406191336\n234 392702679\n83 409660987\n183 410908761\n142 445707116\n205 470279207\n230 486436406\n156 494269002\n113 495687706\n200 500005738\n162 505246499\n201 548652987\n86 449551554\n62 459527873\n32 574001635\n230 601073337\n175 610244315\n174 613857555\n181 637452273\n158 637866397\n148 648101378\n172 646898076\n144 682578257\n239 703460335\n192 713255331\n28 727075136\n196 730768166\n111 751850547\n90 762445737\n204 762552166\n72 773170159\n240 803415865\n32 798873367\n195 814999380\n72 842641864\n125 851815348\n116 858041919\n200 869948671\n195 873324903\n5 877767414\n105 877710280\n150 877719360\n9 884707717\n230 880263190\n88 967344715\n49 977643789\n167 979463984\n70 981400941\n114 991068035\n94 991951735\n141 995762200\n\nSample Output 3\n\n682155965\n\nRemember to take the count modulo 998244353.",
"role": "user"
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] |
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"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
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LiveCodeBenchV5
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"expected_answer": "",
"problem_id": "",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a permutation P=(P_1,P_2,\\dots,P_N) of (1,2,\\dots,N).\nConsider the following operations k\\ (k=2,3,\\dots,N) on this permutation.\n\n- Operation k: For i=1,2,\\dots,k-1 in this order, if P_i > P_{i+1}, swap the values of the i-th and (i+1)-th elements of P.\n\nYou are also given a non-decreasing sequence A=(A_1,A_2,\\dots,A_M)\\ (2 \\leq A_i \\leq N) of length M.\nFor each i=1,2,\\dots,M, find the inversion number of P after applying the operations A_1, A_2, \\dots, A_i in this order.\n\n What is the inversion number of a sequence?\r\n\r\nThe inversion number of a sequence x=(x_1,x_2,\\dots,x_n) of length n is the number of pairs of integers (i,j)\\ (1\\leq i < j \\leq n) such that x_i > x_j.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nP_1 P_2 \\dots P_N\r\nM\r\nA_1 A_2 \\dots A_M\n\nOutput\n\nPrint M lines. The k-th line should contain the answer to the problem for i=k.\n\nConstraints\n\n\n- 2 \\leq N \\leq 2 \\times 10^5\n- 1 \\leq M \\leq 2 \\times 10^5\n- 2 \\leq A_i \\leq N\n- P is a permutation of (1,2,\\dots,N).\n- A_i \\leq A_{i+1} for i=1,2,\\dots,M-1.\n- All input values are integers.\n\nSample Input 1\n\n6\r\n3 2 4 1 6 5\r\n2\r\n4 6\n\nSample Output 1\n\n3\r\n1\r\n\nFirst, operation 4 is performed. During this, P changes as follows: (3,2,4,1,6,5) \\rightarrow (2,3,4,1,6,5) \\rightarrow (2,3,4,1,6,5) \\rightarrow (2,3,1,4,6,5). The inversion number of P afterward is 3.\nNext, operation 6 is performed, where P eventually becomes (2,1,3,4,5,6), whose inversion number is 1.\n\nSample Input 2\n\n20\r\n12 14 16 8 7 15 19 6 18 5 13 9 10 17 4 1 11 20 2 3\r\n15\r\n3 4 6 8 8 9 10 12 13 15 18 18 19 19 20\n\nSample Output 2\n\n117\r\n116\r\n113\r\n110\r\n108\r\n105\r\n103\r\n99\r\n94\r\n87\r\n79\r\n72\r\n65\r\n58\r\n51",
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"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given an array of integers nums and an integer k, return the number of subarrays of nums where the bitwise AND of the elements of the subarray equals k.\n \nExample 1:\n\nInput: nums = [1,1,1], k = 1\nOutput: 6\nExplanation:\nAll subarrays contain only 1's.\n\nExample 2:\n\nInput: nums = [1,1,2], k = 1\nOutput: 3\nExplanation:\nSubarrays having an AND value of 1 are: [1,1,2], [1,1,2], [1,1,2].\n\nExample 3:\n\nInput: nums = [1,2,3], k = 2\nOutput: 2\nExplanation:\nSubarrays having an AND value of 2 are: [1,2,3], [1,2,3].\n\n \nConstraints:\n\n1 <= nums.length <= 10^5\n0 <= nums[i], k <= 10^9",
"role": "user"
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"do_sample": false,
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"seed": 1,
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LiveCodeBenchV5
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|
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There are N+2 cells arranged in a row. Let cell i denote the i-th cell from the left.\nThere is one stone placed in each of the cells from cell 1 to cell N.\r\nFor each 1 \\leq i \\leq N, the stone in cell i is white if S_i is W, and black if S_i is B.\r\nCells N+1 and N+2 are empty.\nYou can perform the following operation any number of times (possibly zero):\n\n- Choose a pair of adjacent cells that both contain stones, and move these two stones to the empty two cells while preserving their order.\r\n More precisely, choose an integer x such that 1 \\leq x \\leq N+1 and both cells x and x+1 contain stones. Let k and k+1 be the empty two cells. Move the stones from cells x and x+1 to cells k and k+1, respectively.\n\nDetermine if it is possible to achieve the following state, and if so, find the minimum number of operations required:\n\n- Each of the cells from cell 1 to cell N contains one stone, and for each 1 \\leq i \\leq N, the stone in cell i is white if T_i is W, and black if T_i is B.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nS\r\nT\n\nOutput\n\nIf it is possible to achieve the desired state, print the minimum number of operations required. If it is impossible, print -1.\n\nConstraints\n\n\n- 2 \\leq N \\leq 14\n- N is an integer.\n- Each of S and T is a string of length N consisting of B and W.\n\nSample Input 1\n\n6\r\nBWBWBW\r\nWWWBBB\n\nSample Output 1\n\n4\r\n\nUsing . to represent an empty cell, the desired state can be achieved in four operations as follows, which is the minimum:\n\n- BWBWBW..\n- BW..BWBW\n- BWWBB..W\n- ..WBBBWW\n- WWWBBB..\n\nSample Input 2\n\n6\r\nBBBBBB\r\nWWWWWW\n\nSample Output 2\n\n-1\n\nSample Input 3\n\n14\r\nBBBWBWWWBBWWBW\r\nWBWWBBWWWBWBBB\n\nSample Output 3\n\n7",
"role": "user"
}
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{
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
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| 1 | 25 |
LiveCodeBenchV5
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"expected_answer": "",
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"reference_solution": ""
}
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is a grid consisting of N cells numbered 1 to N.\nInitially, cell i (1 \\le i \\le N) has an integer i \\bmod 2 written in it. You can perform the following operation any number of times, possibly zero:\n\n- Choose cells l and r (l+1 < r) that satisfy the following conditions, and replace each of the integers written in cells l+1, l+2, \\dots, r-1 with the integer written in cell l.\n- The integer written in cell l is equal to the integer written in cell r.\n- The integer written in cell i (l < i < r) is different from the integer written in cell l.\n\n\n\nFind the number, modulo 998244353, of sequences of operations that result in the integers written in cell i (1 \\leq i \\leq N) being A_i.\nTwo sequences of operations are considered different if and only if their lengths are different or there exists a positive integer t not exceeding the length of the sequences such that the (l, r) chosen in the t-th operations differ.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN\r\nA_1 A_2 \\dots A_N\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- 1 \\leq N \\leq 2 \\times 10^5\n- 0 \\leq A_i \\leq 1\n\nSample Input 1\n\n6\r\n1 1 1 1 1 0\n\nSample Output 1\n\n3\r\n\nTo make the integers written in each cell i equal to A_i, for example, you can perform the following operations. (Here, we represent the state of the grid as a sequence X = (X_1, X_2, \\dots, X_N).)\n\n- Initially, X = (1, 0, 1, 0, 1, 0).\n- Choose cells 2 and 4. X becomes (1, 0, 0, 0, 1, 0).\n- Choose cells 1 and 5. X becomes (1, 1, 1, 1, 1, 0).\n\nBesides the above, there are two other sequences of operations that result in the integers written in cell i being A_i, so the answer is 3.\n\nSample Input 2\n\n10\r\n1 1 1 1 1 0 1 1 1 0\n\nSample Output 2\n\n9",
"role": "user"
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!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"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a binary string s of length n and an integer numOps.\nYou are allowed to perform the following operation on s at most numOps times:\n\nSelect any index i (where 0 <= i < n) and flip s[i]. If s[i] == '1', change s[i] to '0' and vice versa.\n\nYou need to minimize the length of the longest substring of s such that all the characters in the substring are identical.\nReturn the minimum length after the operations.\n \nExample 1:\n\nInput: s = \"000001\", numOps = 1\nOutput: 2\nExplanation: \nBy changing s[2] to '1', s becomes \"001001\". The longest substrings with identical characters are s[0..1] and s[3..4].\n\nExample 2:\n\nInput: s = \"0000\", numOps = 2\nOutput: 1\nExplanation: \nBy changing s[0] and s[2] to '1', s becomes \"1010\".\n\nExample 3:\n\nInput: s = \"0101\", numOps = 0\nOutput: 1\n\n \nConstraints:\n\n1 <= n == s.length <= 1000\ns consists only of '0' and '1'.\n0 <= numOps <= n",
"role": "user"
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Note: This problem has almost the same setting as Problem F. Only the parts in bold in the main text and constraints differ.\nYou are holding a ring with both hands.\nThis ring consists of N\\ (N \\geq 3) parts numbered 1,2,\\dots,N, where parts i and i+1 (1 \\leq i \\leq N-1) are adjacent, and parts 1 and N are also adjacent.\nInitially, your left hand is holding part 1, and your right hand is holding part 2.\nIn one operation, you can do the following:\n\n- Move one of your hands to an adjacent part of the part it is currently holding. However, you can do this only if the other hand is not on the destination part.\n\nThe following figure shows the initial state and examples of operations that can and cannot be made from there. The number written on each part of the ring represents the part number, and the circles labeled L and R represent your left and right hands, respectively.\n\nYou need to follow Q instructions given to you in order.\nThe i-th (1 \\leq i \\leq Q) instruction is represented by a character H_i and an integer T_i, meaning the following:\n\n- Perform some number of operations (possibly zero) so that your left hand (if H_i is L) or your right hand (if H_i is R) is holding part T_i.\n Here, you must not move the other hand not specified by H_i.\n\nIt is guaranteed that only achievable instructions are given.\n\nDetails\nUnder the settings of this problem, it can be proved that the positions of both hands are uniquely determined just before following the i-th instruction for each i.\nAt that time, if we denote the positions of the left and right hands as parts l_i and r_i, respectively, it is guaranteed that T_i \\neq r_i when H_i is L, and T_i \\neq l_i when H_i is R.\n\n\nFind the minimum total number of operations required to follow all the instructions.\n\nInput\n\nThe Input is given from Standard Input in the following format:\nN Q\nH_1 T_1\nH_2 T_2\n\\vdots\nH_Q T_Q\n\nOutput\n\nPrint the minimum total number of operations required to follow all the instructions.\n\nConstraints\n\n\n- 3 \\leq N \\leq 100\n- 1 \\leq Q \\leq 100\n- H_i is L or R.\n- 1 \\leq T_i \\leq N\n- N, Q, and T_i are integers.\n- Only achievable instructions are given (see the problem statement for details).\n\nSample Input 1\n\n6 3\nR 4\nL 5\nR 6\n\nSample Output 1\n\n8\n\n\nBy performing the following operations, you can follow all Q instructions in order.\n\n- Move your right hand as part 2 \\rightarrow 3 \\rightarrow 4 to follow the first instruction.\n- Move your left hand as part 1 \\rightarrow 6 \\rightarrow 5 to follow the second instruction.\n- Move your right hand as part 4 \\rightarrow 3 \\rightarrow 2 \\rightarrow 1 \\rightarrow 6 to follow the third instruction.\n\nIn this case, the total number of operations is 2+2+4=8, which is the minimum.\n(Note that when following the third instruction, you cannot move your right hand as part 4 \\rightarrow 5 \\rightarrow 6.)\n\nSample Input 2\n\n100 2\nL 1\nR 2\n\nSample Output 2\n\n0\n\nThere are cases where you can follow the instructions without performing any operations.\n\nSample Input 3\n\n30 8\nR 23\nR 26\nR 29\nL 20\nR 29\nR 19\nL 7\nL 16\n\nSample Output 3\n\n92",
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"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an integer n representing the number of players in a game and a 2D array pick where pick[i] = [x_i, y_i] represents that the player x_i picked a ball of color y_i.\nPlayer i wins the game if they pick strictly more than i balls of the same color. In other words,\n\nPlayer 0 wins if they pick any ball.\nPlayer 1 wins if they pick at least two balls of the same color.\n...\nPlayer i wins if they pick at leasti + 1 balls of the same color.\n\nReturn the number of players who win the game.\nNote that multiple players can win the game.\n \nExample 1:\n\nInput: n = 4, pick = [[0,0],[1,0],[1,0],[2,1],[2,1],[2,0]]\nOutput: 2\nExplanation:\nPlayer 0 and player 1 win the game, while players 2 and 3 do not win.\n\nExample 2:\n\nInput: n = 5, pick = [[1,1],[1,2],[1,3],[1,4]]\nOutput: 0\nExplanation:\nNo player wins the game.\n\nExample 3:\n\nInput: n = 5, pick = [[1,1],[2,4],[2,4],[2,4]]\nOutput: 1\nExplanation:\nPlayer 2 wins the game by picking 3 balls with color 4.\n\n \nConstraints:\n\n2 <= n <= 10\n1 <= pick.length <= 100\npick[i].length == 2\n0 <= x_i <= n - 1 \n0 <= y_i <= 10",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a sequence A = (A_1, A_2, \\dots, A_N) of N non-negative integers, and a positive integer M.\nFind the following value:\n\\[\r\n\\sum_{1 \\leq l \\leq r \\leq N} \\left( \\left(\\sum_{l \\leq i \\leq r} A_i\\right) \\mathbin{\\mathrm{mod}} M \\right).\r\n\\]\nHere, X \\mathbin{\\mathrm{mod}} M denotes the remainder when the non-negative integer X is divided by M.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\r\nA_1 A_2 \\dots A_N\n\nOutput\n\nPrint the answer.\n\nConstraints\n\n\n- 1 \\leq N \\leq 2 \\times 10^5\n- 1 \\leq M \\leq 2 \\times 10^5\n- 0 \\leq A_i \\leq 10^9\n\nSample Input 1\n\n3 4\r\n2 5 0\n\nSample Output 1\n\n10\r\n\n\n- A_1 \\mathbin{\\mathrm{mod}} M = 2\n- (A_1+A_2) \\mathbin{\\mathrm{mod}} M = 3\n- (A_1+A_2+A_3) \\mathbin{\\mathrm{mod}} M = 3\n- A_2 \\mathbin{\\mathrm{mod}} M = 1\n- (A_2+A_3) \\mathbin{\\mathrm{mod}} M = 1\n- A_3 \\mathbin{\\mathrm{mod}} M = 0\n\nThe answer is the sum of these values, 10. Note that the outer sum is not taken modulo M.\n\nSample Input 2\n\n10 100\r\n320 578 244 604 145 839 156 857 556 400\n\nSample Output 2\n\n2736",
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"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Alice and Bob are playing a game. Initially, Alice has a string word = \"a\".\nYou are given a positive integer k.\nNow Bob will ask Alice to perform the following operation forever:\n\nGenerate a new string by changing each character in word to its next character in the English alphabet, and append it to the original word.\n\nFor example, performing the operation on \"c\" generates \"cd\" and performing the operation on \"zb\" generates \"zbac\".\nReturn the value of the k^th character in word, after enough operations have been done for word to have at least k characters.\nNote that the character 'z' can be changed to 'a' in the operation.\n \nExample 1:\n\nInput: k = 5\nOutput: \"b\"\nExplanation:\nInitially, word = \"a\". We need to do the operation three times:\n\nGenerated string is \"b\", word becomes \"ab\".\nGenerated string is \"bc\", word becomes \"abbc\".\nGenerated string is \"bccd\", word becomes \"abbcbccd\".\n\n\nExample 2:\n\nInput: k = 10\nOutput: \"c\"\n\n \nConstraints:\n\n1 <= k <= 500",
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[
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"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 2D integer array grid with size m x n. You are also given an integer k.\nYour task is to calculate the number of paths you can take from the top-left cell (0, 0) to the bottom-right cell (m - 1, n - 1) satisfying the following constraints:\n\nYou can either move to the right or down. Formally, from the cell (i, j) you may move to the cell (i, j + 1) or to the cell (i + 1, j) if the target cell exists.\nThe XOR of all the numbers on the path must be equal to k.\n\nReturn the total number of such paths.\nSince the answer can be very large, return the result modulo 10^9 + 7.\n \nExample 1:\n\nInput: grid = [[2, 1, 5], [7, 10, 0], [12, 6, 4]], k = 11\nOutput: 3\nExplanation: \nThe 3 paths are:\n\n(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2)\n(0, 0) → (1, 0) → (1, 1) → (1, 2) → (2, 2)\n(0, 0) → (0, 1) → (1, 1) → (2, 1) → (2, 2)\n\n\nExample 2:\n\nInput: grid = [[1, 3, 3, 3], [0, 3, 3, 2], [3, 0, 1, 1]], k = 2\nOutput: 5\nExplanation:\nThe 5 paths are:\n\n(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2) → (2, 3)\n(0, 0) → (1, 0) → (1, 1) → (2, 1) → (2, 2) → (2, 3)\n(0, 0) → (1, 0) → (1, 1) → (1, 2) → (1, 3) → (2, 3)\n(0, 0) → (0, 1) → (1, 1) → (1, 2) → (2, 2) → (2, 3)\n(0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (2, 3)\n\n\nExample 3:\n\nInput: grid = [[1, 1, 1, 2], [3, 0, 3, 2], [3, 0, 2, 2]], k = 10\nOutput: 0\n\n \nConstraints:\n\n1 <= m == grid.length <= 300\n1 <= n == grid[r].length <= 300\n0 <= grid[r][c] < 16\n0 <= k < 16",
"role": "user"
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"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given two strings s and pattern.\nA string x is called almost equal to y if you can change at most one character in x to make it identical to y.\nReturn the smallest starting index of a substring in s that is almost equal to pattern. If no such index exists, return -1.\nA substring is a contiguous non-empty sequence of characters within a string.\n \nExample 1:\n\nInput: s = \"abcdefg\", pattern = \"bcdffg\"\nOutput: 1\nExplanation:\nThe substring s[1..6] == \"bcdefg\" can be converted to \"bcdffg\" by changing s[4] to \"f\".\n\nExample 2:\n\nInput: s = \"ababbababa\", pattern = \"bacaba\"\nOutput: 4\nExplanation:\nThe substring s[4..9] == \"bababa\" can be converted to \"bacaba\" by changing s[6] to \"c\".\n\nExample 3:\n\nInput: s = \"abcd\", pattern = \"dba\"\nOutput: -1\n\nExample 4:\n\nInput: s = \"dde\", pattern = \"d\"\nOutput: 0\n\n \nConstraints:\n\n1 <= pattern.length < s.length <= 10^5\ns and pattern consist only of lowercase English letters.\n\n \nFollow-up: Could you solve the problem if at most k consecutive characters can be changed?",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a simple undirected graph with N vertices and M edges. The i-th edge connects vertices u_i and v_i bidirectionally.\nDetermine if there exists a way to write an integer between 1 and 2^{60} - 1, inclusive, on each vertex of this graph so that the following condition is satisfied:\n\n- For every vertex v with a degree of at least 1, the total XOR of the numbers written on its adjacent vertices (excluding v itself) is 0.\n\n\nWhat is XOR?\n\nThe XOR of two non-negative integers A and B, denoted as A \\oplus B, is defined as follows:\n\n\n- In the binary representation of A \\oplus B, the bit at position 2^k \\, (k \\geq 0) is 1 if and only if exactly one of the bits at position 2^k in the binary representations of A and B is 1. Otherwise, it is 0.\n\n\nFor example, 3 \\oplus 5 = 6 (in binary: 011 \\oplus 101 = 110).\n\nIn general, the bitwise XOR of k integers p_1, \\dots, p_k is defined as (\\cdots ((p_1 \\oplus p_2) \\oplus p_3) \\oplus \\cdots \\oplus p_k). It can be proved that this is independent of the order of p_1, \\dots, p_k.\n\nInput\n\nThe input is given from Standard Input in the following format:\nN M\nu_1 v_1\nu_2 v_2\n\\vdots\nu_M v_M\n\nOutput\n\nIf there is no way to write integers satisfying the condition, print No.\nOtherwise, let X_v be the integer written on vertex v, and print your solution in the following format. If multiple solutions exist, any of them will be accepted.\nYes\nX_1 X_2 \\dots X_N\n\nConstraints\n\n\n- 1 \\leq N \\leq 60\n- 0 \\leq M \\leq N(N-1)/2\n- 1 \\leq u_i < v_i \\leq N\n- (u_i, v_i) \\neq (u_j, v_j) for i \\neq j.\n- All input values are integers.\n\nSample Input 1\n\n3 3\n1 2\n1 3\n2 3\n\nSample Output 1\n\nYes\n4 4 4\n\nOther acceptable solutions include writing (2,2,2) or (3,3,3).\n\nSample Input 2\n\n2 1\n1 2\n\nSample Output 2\n\nNo\n\nSample Input 3\n\n1 0\n\nSample Output 3\n\nYes\n1\n\nAny integer between 1 and 2^{60} - 1 can be written.\n\nSample Input 4\n\n4 5\n1 2\n1 3\n2 3\n2 4\n3 4\n\nSample Output 4\n\nYes\n12 4 4 8",
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is a grid with H rows and W columns. Let (i, j) denote the cell at the i-th row from the top and j-th column from the left.\nCell (i, j) is empty if C_{i, j} is ., and not empty if C_{i, j} is #.\nTakahashi is currently at cell (S_i, S_j), and he will act according to the following rules for i = 1, 2, \\ldots, |X| in order.\n\n- If the i-th character of X is L, and the cell to the left of his current cell exists and is empty, he moves to the cell to the left. Otherwise, he stays in the current cell.\n- If the i-th character of X is R, and the cell to the right of his current cell exists and is empty, he moves to the cell to the right. Otherwise, he stays in the current cell.\n- If the i-th character of X is U, and the cell above his current cell exists and is empty, he moves to the cell above. Otherwise, he stays in the current cell.\n- If the i-th character of X is D, and the cell below his current cell exists and is empty, he moves to the cell below. Otherwise, he stays in the current cell.\n\nPrint the cell where he is after completing the series of actions.\n\nInput\n\nThe input is given from Standard Input in the following format:\nH W\r\nS_i S_j\r\nC_{1, 1}C_{1, 2}\\ldotsC_{1, W}\r\nC_{2, 1}C_{2, 2}\\ldotsC_{2, W}\r\n\\vdots\r\nC_{H, 1}C_{H, 2}\\ldotsC_{H, W}\r\nX\n\nOutput\n\nLet (x, y) be the cell where Takahashi is after completing the series of actions. Print x and y, separated by a space.\n\nConstraints\n\n\n- 1 \\leq H, W \\leq 50\n- 1 \\leq S_i \\leq H\n- 1 \\leq S_j \\leq W\n- H, W, S_i, S_j are integers.\n- C_{i, j} is . or #.\n- C_{S_i, S_j} = .\n- X is a string of length between 1 and 50, inclusive, consisting of L, R, U, D.\n\nSample Input 1\n\n2 3\r\n2 1\r\n.#.\r\n...\r\nULDRU\n\nSample Output 1\n\n2 2\r\n\nTakahashi starts at cell (2, 1). His series of actions are as follows:\n\n- The 1st character of X is U, and the cell above (2, 1) exists and is an empty cell, so he moves to the cell above, which is (1, 1).\n- The 2nd character of X is L, and the cell to the left of (1, 1) does not exist, so he stays at (1, 1).\n- The 3rd character of X is D, and the cell below (1, 1) exists and is an empty cell, so he moves to the cell below, which is (2, 1).\n- The 4th character of X is R, and the cell to the right of (2, 1) exists and is an empty cell, so he moves to the cell to the right, which is (2, 2).\n- The 5th character of X is U, and the cell above (2, 2) exists but is not an empty cell, so he stays at (2, 2).\n\nTherefore, after completing the series of actions, he is at cell (2, 2).\n\nSample Input 2\n\n4 4\r\n4 2\r\n....\r\n.#..\r\n...#\r\n....\r\nDUUUURULRD\n\nSample Output 2\n\n2 4\n\nSample Input 3\n\n6 6\r\n1 1\r\n.#####\r\n######\r\n######\r\n######\r\n######\r\n######\r\nRURLDLULLRULRDL\n\nSample Output 3\n\n1 1",
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"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a string s.\nWe define the mirror of a letter in the English alphabet as its corresponding letter when the alphabet is reversed. For example, the mirror of 'a' is 'z', and the mirror of 'y' is 'b'.\nInitially, all characters in the string s are unmarked.\nYou start with a score of 0, and you perform the following process on the string s:\n\nIterate through the string from left to right.\nAt each index i, find the closest unmarked index j such that j < i and s[j] is the mirror of s[i]. Then, mark both indices i and j, and add the value i - j to the total score.\nIf no such index j exists for the index i, move on to the next index without making any changes.\n\nReturn the total score at the end of the process.\n \nExample 1:\n\nInput: s = \"aczzx\"\nOutput: 5\nExplanation:\n\ni = 0. There is no index j that satisfies the conditions, so we skip.\ni = 1. There is no index j that satisfies the conditions, so we skip.\ni = 2. The closest index j that satisfies the conditions is j = 0, so we mark both indices 0 and 2, and then add 2 - 0 = 2 to the score.\ni = 3. There is no index j that satisfies the conditions, so we skip.\ni = 4. The closest index j that satisfies the conditions is j = 1, so we mark both indices 1 and 4, and then add 4 - 1 = 3 to the score.\n\n\nExample 2:\n\nInput: s = \"abcdef\"\nOutput: 0\nExplanation:\nFor each index i, there is no index j that satisfies the conditions.\n\n \nConstraints:\n\n1 <= s.length <= 10^5\ns consists only of lowercase English letters.",
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|
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Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.