维护$n^{2}$个三元组$(x,y,z)$,每一个三元组描述$a_{x,y}=z$ 对于RLDU这四个操作,即将所有三元组的$x$或$y$执行$\pm 1$(模$n$意义下) 对于IC这两个操作,即分别将$y$和$z$交换或$x$和$z$交换 维护这三个元素交换的顺序以及每一个元素加减的量,最终再$o(n^{2})$解出即可 时间复杂度为$o(n^{2}+m)$,可以通过 1 #include<bits/stdc++.h> 2 using namespace std; 3 #define N…

拉丁方阵(英语:Latin square)是一种 n × n 的方阵,在这种 n × n 的方阵里,恰有 n 种不同的元素,每一种不同的元素在同一行或同一列里只出现一次.以下是两个拉丁方阵举例: 拉丁方阵有此名称是因为瑞士数学家和物理学家欧拉使用拉丁字母来做为拉丁方阵里的元素的符号. 算法步骤: 在第一行中,数字从 1 到 n 连续存储. 第二行,数字向右移动一列.即 1 现在存储在第二列,依此类推. 在第三行中,数字向右移动两列.即 1 现在存储在第三列,依此类推. 对于其余的行,我们将以相同…

CF1458C Latin Square 2021 EC Final C. Random Shuffle [THUPC2021] 混乱邪恶 [JOISC2022] 制作团子 3 2022 集训队互测 Were You Last CF1500D Tiles for Bathroom lcm 『MdOI R2』Resurrection CF1583F Defender of Childhood Dreams…

All Latin Squares A square arrangement of numbers 1 2 3 4 5 2 1 4 5 3 3 4 5 1 2 4 5 2 3 1 5 3 1 2 4 is a 5 x 5 Latin Square because each whole number from 1 to 5 appears once and only once in each row and column. Write a program that will compute the…

0.目录 1.介绍 2.一些通用函数 3.全局变量(宏变量) 4.数独预处理(约束传播) 5.解数独(深度优先搜索+最小代价优先) 6.主函数 7.总代码 1.介绍 数独是一个非常有趣味性的智力游戏,数独起源于18世纪初瑞士数学家欧拉等人研究的拉丁方阵(Latin Square). 参与者需要根据9×9盘面上的已知数字,推理出所有剩余空格的数字,并满足每一行.每一列.每一个宫内的数字均含1-9,不重复. 一个数独谜题是由81个方块组成的网格.大部分爱好者把列标为1-9,把行标为A-I,把9个方块…

Remember the story of Little Match Girl? By now, you know exactly what matchsticks the little match girl has, please find out a way you can make one square by using up all those matchsticks. You should not break any stick, but you can link them up, a…

Given a sequence of words, check whether it forms a valid word square. A sequence of words forms a valid word square if the kth row and column read the exact same string, where 0 ≤k < max(numRows, numColumns). Note: The number of words given is at le…

Given a positive integer num, write a function which returns True if num is a perfect square else False. Note: Do not use any built-in library function such as sqrt. Example 1: Input: 16 Returns: True Example 2: Input: 14 Returns: False Credits:Speci…

Given a 2D binary matrix filled with 0's and 1's, find the largest square containing all 1's and return its area. For example, given the following matrix: 1 0 1 0 0 1 0 1 1 1 1 1 0 0 1 0 Return 4. Credits:Special thanks to @Freezen for adding this pr…

OPEN CASCADE Gauss Least Square eryar@163.com Abstract. The least square can be used to solve a set of n linear equations of m unknowns(n >= m). The OPEN CASCADE class math_GaussLeastSquare implements the least square solution of the linear equations…