题意:给n个数,一开始基数为0,用这n个数依次对基数做加法或减法,使基数不超过k且不小于0,输出最远能运算到的数字个数,输出策略. 解法:dp.dp[i][j]表示做完第i个数字的运算后结果为j的可能性,可能为1,不可能为0,于是得到状态转移方程dp[i][j] = dp[i - 1][j - a[i]] | dp[i - 1][j + a[i]],当被转移的状态不在0-k之间时特判.dp时记录路径. 代码: #include<stdio.h> #include<iostream>…

CF Gym 102028G Shortest Paths on Random Forests 抄题解×1 蒯板子真jir舒服. 构造生成函数,\(F(n)\)表示\(n\)个点的森林数量(本题都用EGF).怎么求呢 \(f(n)=n^{n-2}\)表示\(n\)个点的树数量,根据\(\exp\)定义,\(e^x=\sum_{i=0}^{\infty}\frac{x^i}{i!}\).那么\(F=\exp f\),感性理解就是如果选\(i\)个联通块拼起来就除以\(i!\),很对的样子. 那么期…

传送门 A. Ariel time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output King Triton really likes watching sport competitions on TV. But much more Triton likes watching live competitions. So Triton de…

传送门 E. Epic Fail of a Genie time limit per test 0.5 seconds memory limit per test 64 megabytes input standard input output standard output Aladdin had found a new shiny lamp and has started polishing it with his hands. Suddenly a mysterious genie app…

题目:http://codeforces.com/gym/101933/problem/K 其实每个点的颜色只要和父亲不一样即可: 所以至多 i 种颜色就是 \( i * (i-1)^{n-1} \),设为 \( f(i) \),设恰好 i 种颜色为 \( g(i) \) 那么 \( f(i) = \sum\limits_{j=0}^{i} C_{i}^{j} * g(j) \) 二项式反演得到 \( g(i) = \sum\limits_{j=0}^{k} (-1)^{k-j} * C_{k}…

The sequence of integer pairs (a1, b1), (a2, b2), ..., (ak, bk) is beautiful, if the following statements are fulfilled: 1 ≤ a1 ≤ b1 < a2 ≤ b2 < ... < ak ≤ bk ≤ n, where n is a given positive integer; all numbers b1 - a1, b2 - a2, ..., bk - ak ar…

题目: Description standard input/output As most of you know, the Arab Academy for Science and Technology and Maritime Transport in Alexandria, Egypt, hosts the ACPC Headquarters in the Regional Informatics Center (RIC), and it has been supporting our r…

题意:龙要制作n个茶,每个茶的配方是一个字符串,两个字符串之间有一个差值,这个差值为两个字符串每个对应字母之间差的绝对值的最大值,求制作所有茶时获得的所有差值中的最大值. 解法:克鲁斯卡尔.将茶的配方作为点,将每两个点之间的差值作为边权,求最小生成树,这棵树中最大的边即为答案. 代码: #include<stdio.h> #include<iostream> #include<algorithm> #include<string> #include<s…

题意:王子每月买m个灯泡给n个房间换灯泡,如果当前有的灯泡数够列表的第一个房间换的就全换,直到灯泡不够为止,给出q个查询,查询x月已经换好几个房子,手里还剩多少灯泡. 解法:水题……小模拟. 代码: #include<stdio.h> #include<iostream> #include<algorithm> #include<string> #include<string.h> #include<math.h> #include&…

题意:两个人玩n个游戏,给出每人玩每个游戏的时间,两个人需要在n个游戏中挑m个轮流玩,求最短时间. 解法:dp.(这场dp真多啊……话说也可以用最小费用最大流做……然而并不会XD)dp[i][j][k]表示玩前i个游戏时第一个人玩了j个游戏,第二个人玩了k个游戏,所以状态转移方程为dp[i][j][k] = min(dp[i][j][k], dp[i - 1][j - 1][k] + a[i], dp[i - 1][j][k - 1] + b[i]),第一个维度在空间上可以优化掉,再处理一下边界…