codeforces#101194H. Great Cells(数学)】的更多相关文章

题目链接: https://codeforces.com/gym/101194 题意: 在$n×m$的各自中填上$1$到$k$的数 定义Greate cell为严格大于同行和同列的格子 定义$A_g$为存在$g$个Greate cell的方案数 求$\sum_{g=0}^{nm}(g+1)*A_g$ 数据范围: $1\leq n \leq 200$ $1\leq m \leq 200$ $1\leq k \leq 200$ 分析: $\sum_{g=0}^{nm}(g+1)*A_g=\sum_{…
Problem H. Great Cells 题目链接:https://codeforces.com/gym/101194/attachments Input file: Standard Input Output file: Standard Ouptut Time limit: 2 seconds 题目大意: 在N×M的网格里填[1,K]的整数,如果满足这个格子中的数是本行和本列中严格的最大值,定义这个格子是great的.定义A-g为网格中恰好有g个great格子的填法数,求Σ(g+1)A-…
题意:第一行给两个数,n 和 A,n 表示有n 个骰子,A表示 n 个骰子掷出的数的和.第二行给出n个数,表示第n个骰子所能掷出的最大的数,这些骰子都有问题, 可能或多或少的掷不出几个数,输出n个骰子掷不出的数的个数. 析:我们只要考虑两个极端就好,考由其他骰子投出的最大值和最小值,还有自身在最大值和最小值,作一个数学运算就OK了.公式如下: 骰子的最大值-能投的最大值+能投的最小值-1. 代码如下: #include <cstdio> #include <string> #inc…
题意:给你x%ci=bi(x未知),是否能确定x%k的值(k已知) ——数学相关知识: 首先:我们知道一些事情,对于k,假设有ci%k==0,那么一定能确定x%k的值,比如k=5和ci=20,知道x%20=y,那么ans=x%k=y%5; 介绍(互质版)中国剩余定理,假设已知m1,m2,mn,两两互质,且又知道x%m1,x%m2..x%mn分别等于多少 设M=m1*m2*m3..mn,那么x在模M的剩余系下只有唯一解(也就是知道了上面的模线性方程组,就可以求出x%M等于多少) ——此题解法 针对…
Garage 题目连接: http://codeforces.com/gym/100269/attachments Description Wow! What a lucky day! Your company has just won a social contract for building a garage complex. Almost all formalities are done: contract payment is already transferred to your a…
题目链接: B. Cells Not Under Attack 题意: n*n的棋盘,现在放m个棋子,放一个棋子这一行和这一列就不会under attack了,每次放棋子回答有多少点还可能under attack; 思路:对行和列标记; AC代码: #include <iostream> #include <cstdio> #include <cstring> #include <algorithm> #include <cmath> #incl…
B. Cells Not Under Attack time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output Vasya has the square chessboard of size n × n and m rooks. Initially the chessboard is empty. Vasya will consequen…
题目链接:http://codeforces.com/contest/1206/problem/C 题解 : 观察可以发现当n为偶数时,1 - 2n是不满足题意的,可以举例n = 2,n = 4试一试.那么当n为奇数时,则满足题意,通过n = 3和n = 5的情况可以发现一个规律,当a[ 1 ] = 1时候,a[ n + 1] = 2 ,a[ 2 ] =  4,此时 a[ n + 1]  = 3,a[ 3 ] = 5,则a[ n+ 3] = 6,发现a[ i ] 和a[ i + n] 是连续的两…
题目链接: C. Vectors time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output At a geometry lesson Gerald was given a task: to get vector B out of vector A. Besides, the teacher permitted him to perform…
D. Road to Post Office time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output Vasiliy has a car and he wants to get from home to the post office. The distance which he needs to pass equals to d ki…