F. The Sum of the k-th Powers 题目连接: http://www.codeforces.com/contest/622/problem/F Description There are well-known formulas: , , . Also mathematicians found similar formulas for higher degrees. Find the value of the sum modulo 109 + 7 (so you shoul…
FallDream dalao找的插值练习题 题目大意:给定n,k,求Σi^k (i=1~n),对1e9+7取模.(n<=10^9,k<=10^6) 思路:令f(n)=Σi^k (i=1~n),则有f(n)-f(n-1)=n^k,说明f(n)的差分是n的k次多项式,则所求f(n)为n的k+1次多项式,利用拉格朗日插值公式,我们暴力计算n=0~k+1时的答案,代入公式,利用预处理的信息加速计算,总复杂度O(klogMOD). #include<cstdio> #define MOD…
[链接] 我是链接,点我呀:) [题意] 在这里输入题意 [题解] 那个D函数它的下降速度是很快的. 也就是说到最后他会很快的变成2或者1 而D(2)==2,D(1)=1 也就是说,几次操作过后很多数字实际上就不会发生变化了. 我们可以以这个为切入点. 可以用树状数组写,也可以用线段树写. 如果用树状数组写的话. 你需要额外用一个set来维护哪些值是还能变化的. 然后在读入l,r这个范围的时候. 直接用lower_bound查找离它最近的且大于等于它的能改变的值. 将它改变. 然后在树状数组中改…
The Sum of the k-th Powers There are well-known formulas: , , . Also mathematicians found similar formulas for higher degrees. Find the value of the sum modulo 109 + 7 (so you should find the remainder after dividing the answer by the value 109 + 7).…
Educational Codeforces Round 40 F. Runner's Problem 题意: 给一个$ 3 * m \(的矩阵,问从\)(2,1)$ 出发 走到 \((2,m)\) 的方案数 \(mod 1e9 + 7\), 走的规则和限制如下: From the cell (i, j) you may advance to: (i - 1, j + 1) - only if i > 1, (i, j + 1), or (i + 1, j + 1) - only if i <…
Educational Codeforces Round 53 E. Segment Sum 题意: 问[L,R]区间内有多少个数满足:其由不超过k种数字构成. 思路: 数位DP裸题,也比较好想.由于没考虑到前导0,卡了很久.但最惨的是,由于每次求和的时候需要用到10的pos次幂,我是用提前算好的10的最高次幂,然后每次除以10往下传参.但我手贱取模了,导致每次除以10之后答案就不同余了,这个NC细节错误卡了我一小时才发现. 代码: #include<iostream> #include<…
题目链接:http://codeforces.com/contest/837/problem/F 题意:如题QAQ 解法:参考题解博客:http://www.cnblogs.com/FxxL/p/7282909.html    由于新生成的m+1个数列第一个肯定为0,所以可以忽略掉,当作每次新生成的数列只拥有m个元素    来枚举一个例子,可以发现规律. 当a[] = {1,0,0,0,0}时,手动推出的矩阵如下: 可以发现对于这个矩阵显然是满足杨辉三角的,我们二分出一个值后可以直接利用组合数来…
题目链接:http://codeforces.com/problemset/problem/691/F 题目大意:给定n个数,再给m个询问,每个询问给一个p,求n个数中有多少对数的乘积≥p 数据范围:2≤n≤10^6, 1≤ai≤3*10^6,1≤m≤10^6, 1≤p≤3*10^6 解题思路:比赛的时候比较naive的思路是把n中的数字排序去了重之后,对于每个p,最多枚举√p步,就能得到答案.而这个naive的思路是O(p√p)的,结果T了. 后来百思不得其解,去看了官方的解答.感觉是一种很有…
A. Tricky Sum Time Limit: 20 Sec Memory Limit: 256 MB 题目连接 http://codeforces.com/contest/598/problem/A Description In this problem you are to calculate the sum of all integers from 1 to n, but you should take all powers of two with minus in the sum.…
F. MEX Queries time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output You are given a set of integer numbers, initially it is empty. You should perform n queries. There are three different types…
https://codeforces.com/contest/1132/problem/F 思维 + 区间dp 题意 给一个长度为n的字符串(<=500),每次选择消去字符,连续相同的字符可以同时消去,问最少需要消去多少次 题解 定义dp[l][r]为区间[l,r]剩下一个字符所需要的最小次数 dp[l][r]=min(dp[l][i]+dp[i+1][r]+x) x为消去剩下两个字符所需要的次数,假如两个字符相同需要x=-1 代码 #include<bits/stdc++.h> #de…
https://codeforces.com/contest/1051/problem/F 题意 给一个带权联通无向图,n个点,m条边,q个询问,询问两点之间的最短路 其中 m-n<=20,1<=n,m<=1e5 思路 因为图一定联通,所以n-1<=m<=n+20 因为是求任意两点的最短路,所以直接暴力跑最短路是不行的,考虑选择性的跑最短路 因为是求两点之间的距离,所以可以往lca方面想 先跑一棵生成树出来,然后处理出每个点的lca,这样就可以求出任意两点的距离 然后就可以记…
F. Four Divisors 题目连接: http://www.codeforces.com/contest/665/problem/F Description If an integer a is divisible by another integer b, then b is called the divisor of a. For example: 12 has positive 6 divisors. They are 1, 2, 3, 4, 6 and 12. Let's def…
F. Magic Matrix 题目连接: http://www.codeforces.com/contest/632/problem/F Description You're given a matrix A of size n × n. Let's call the matrix with nonnegative elements magic if it is symmetric (so aij = aji), aii = 0 and aij ≤ max(aik, ajk) for all…
F. Xors on Segments 题目连接: http://www.codeforces.com/contest/620/problem/F Description You are given an array with n integers ai and m queries. Each query is described by two integers (lj, rj). Let's define the function . The function is defined for o…
F. Bear and Fair Set 题目连接: http://www.codeforces.com/contest/628/problem/F Description Limak is a grizzly bear. He is big and dreadful. You were chilling in the forest when you suddenly met him. It's very unfortunate for you. He will eat all your coo…
F. Frogs and mosquitoes time limit per test 2 seconds memory limit per test 512 megabytes input standard input output standard output There are n frogs sitting on the coordinate axis Ox. For each frog two values xi, ti are known — the position and th…
F. Guards In The Storehouse time limit per test 1.5 seconds memory limit per test 512 megabytes input standard input output standard output Polycarp owns a shop in the capital of Berland. Recently the criminal activity in the capital increased, so Po…
Educational Codeforces Round 66 F 题意:长度为 n 的序列,求有多少个区间 \([l,r]\) ,使得其构成了一个 1~r-l+1 的排列. \(n \le 3*10^5, a_i \le n\) key:随机权值 合法区间中肯定包含 1 ,并且最大值就是长度.先考虑最大值在 1 的右边的情况,可以枚举每个 1 的右边,记录最大值 x ,此时需要检查 \([r-x+1,r]\) 这个区间是否是一个排列.最大值在 1 左边的情况同理. 考虑 hash :给 1~n…
Codeforces Educational Codeforces Round 44 (Rated for Div. 2) F. Isomorphic Strings 题目连接: http://codeforces.com/contest/985/problem/F Description You are given a string s of length n consisting of lowercase English letters. For two given strings s an…
Educational Codeforces Round 71 (Rated for Div. 2)-F. Remainder Problem-技巧分块 [Problem Description] ​ 初始\([1,500000]\)都为0,后续有两种操作: ​ \(1\).将\(a[x]\)的值加上\(y\). ​ \(2\).求所有满足\(i\ mod\ x=y\)的\(a[i]\)的和. [Solution] ​ 具体做法就是,对于前\(\sqrt{500000}=708\)个数,定义\(…
[Educational Codeforces Round 16]C. Magic Odd Square 试题描述 Find an n × n matrix with different numbers from 1 to n2, so the sum in each row, column and both main diagonals are odd. 输入 The only line contains odd integer n (1 ≤ n ≤ 49). 输出 Print n lines…
[Educational Codeforces Round 16]B. Optimal Point on a Line 试题描述 You are given n points on a line with their coordinates xi. Find the point x so the sum of distances to the given points is minimal. 输入 The first line contains integer n (1 ≤ n ≤ 3·105)…
Educational Codeforces Round 37 这场有点炸,题目比较水,但只做了3题QAQ.还是实力不够啊! 写下题解算了--(写的比较粗糙,细节或者bug可以私聊2333) A. Water The Garden 题意:给你一个长度为\(n\)的池子,告诉你哪些地方一开始有水, 每秒可以向左和向右增加一格的水, 问什么时候全部充满水.(\(n \le 200\)) 题解:按题意模拟.每次进来一个水龙头,就更新所有点的答案 (取\(min\)).最 后把所有点取个\(max\)就…
Educational Codeforces Round 43 (Rated for Div. 2) https://codeforces.com/contest/976 A #include<bits/stdc++.h> using namespace std; #define lson l,mid,rt<<1 #define rson mid+1,r,rt<<1|1 #define IT set<ll>::iterator #define sqr(x)…
Educational Codeforces Round 35 (Rated for Div. 2) https://codeforces.com/contest/911 A 模拟 #include<bits/stdc++.h> using namespace std; #define lson l,mid,rt<<1 #define rson mid+1,r,rt<<1|1 #define IT set<ll>::iterator #define sqr(…
Educational Codeforces Round 26 困到不行的场,等着中午显示器到了就可以美滋滋了 A. Text Volume time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output You are given a text of single-space separated words, consisting of sm…
Educational Codeforces Round 65 (Rated for Div. 2)题解 题目链接 A. Telephone Number 水题,代码如下: Code #include <bits/stdc++.h> using namespace std; typedef long long ll; const int N = 2e5 + 5; int a[N] ; int n, T; char s[N] ; int main() { cin >> T; whil…
Educational Codeforces Round 64 部分题解 不更了不更了 CF1156D 0-1-Tree 有一棵树,边权都是0或1.定义点对\(x,y(x\neq y)\)合法当且仅当树上\(x\)到\(y\)的路径权值是一段0接一段1.求合法点对数量. 直接点分治 我是傻逼居然还写了50min... https://codeforces.com/contest/1156/submission/53661175 CF1156E Special Segments of Permut…
Educational Codeforces Round 64 CodeForces 1156A 题意:1代表圆,2代表正三角形,3代表正方形.给一个只含1,2,3的数列a,ai+1内接在ai内,求总共有多少个交点. 交了好多遍才过.分类讨论一下内接的情况,然后注意到当正方形内接圆形再内接三角形时会有一个点重复,减去即可. code #include<cstdio> ],ans,flag,haha[][]; int main() { scanf("%d",&n);…