Atcoder(134)E - Sequence Decomposing

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Atcoder(134)E - Sequence Decomposing

E - Sequence Decomposing Time Limit: 2 sec / Memory Limit: 1024 MB Score : 500500 points Problem Statement You are given a sequence with NN integers: A={A1,A2,⋯,AN}A={A1,A2,⋯,AN}. For each of these NN integers, we will choose a color and paint the in…

AtCoder Beginner Contest 134-E - Sequence Decomposing

(https://atcoder.jp/contests/abc134/tasks/abc134_e) 题意:找出最小个数的最长上升子序列思路:找出最长上升子序列的最小个数,只需要找出每个最小上升子序列的最后一个元素,然后元素个数之和就是最长上升子序列的最小个数 #include <iostream> #include<set> #include<cstdio> #include<algorithm> using namespace std; ; int…

Atcoder E - RGB Sequence（dp）

题目链接:http://arc074.contest.atcoder.jp/tasks/arc074_c 题意:一共有3种颜色,红色,绿色,蓝色.给出m个要求l,r,x表示在区间[l,r]内要有x种不同的颜色. 问满足所有要求的染色方式一共有几种. 题解:一般问一共有几种组合方式要么推数学公式,要么就是dp. 不妨设dp[r][g][b]表示是k=max(r,g,b)前k个染色后r色结尾的位置为r,g色结尾的位置为g,b色结尾的位置为b. 显然转移为dp[k+1][g][b]+=dp[r][g]…

AtCoder AGC031D A Sequence of Permutations (群论、置换快速幂)

题目链接 https://atcoder.jp/contests/agc031/tasks/agc031_d 题解这居然真的是个找规律神题... 首先要明白置换的一些基本定义,置换\(p\)和\(q\)的复合\(a\)定义为\(a_i=p_{q_i}\), 记作\(a=pq\). 有定理\((pq)^{-1}=q^{-1}p^{-1}\). 显然题目里定义的\(f(p,q)=qp^{-1}\). 然后打表打出前几项: \(a_1=p\) \(a_2=q\) \(a_3=qp^{-1}\) \(…

AtCoder - 2567 RGB Sequence

Problem Statement There are N squares arranged in a row. The squares are numbered 1, 2, …, N, from left to right. Snuke is painting each square in red, green or blue. According to his aesthetic sense, the following M conditions must all be satisfied.…

AtCoder - 3962 Sequence Growing Hard

Problem Statement Find the number of the possible tuples of sequences (A0,A1,…,AN) that satisfy all of the following conditions, modulo M: For every i (0≤i≤N), Ai is a sequence of length i consisting of integers between 1 and K (inclusive); For every…