E. Congruence Equation time limit per test 3 seconds memory limit per test 256 megabytes input standard input output standard output Given an integer x. Your task is to find out how many positive integers n (1 ≤ n ≤ x) satisfy where a, b, p are all k…

原文链接http://www.cnblogs.com/zhouzhendong/p/8397685.html 2018-02-01 $A$ 题意概括 你要买$m$斤水果,现在有$n$个超市让你选择. 每个超市的水果价格是固定的.第$i$个超市的水果价格用两个整数$a_i和b_i$来表示.含义是$a_i$元可以买$b_i$斤. 问你买$m$斤水果最少花费多少钱. 题解 直接枚举超市,判断最少的花费就可以了. 代码 #include <cstring> #include <cstdio>…

题目链接: http://codeforces.com/problemset/problem/919/E 题意: 让你求满足 \(na^n\equiv b \pmod p\) 的 \(n\) 的个数. \(2 ≤ p ≤ 10^{6} + 3, 1 ≤ a, b < p, 1 ≤ x ≤ 10^{12}\). 题解: 因为: $n \mod p $的循环节是 \(p\) \(a^{n} \mod p\)的循环节是 \(p-1\).(费马小定理) 所以: \(na^n \mod p​\)的循环节为…

题目链接 \(Description\) 给定a,b,x,p,求[1,x]中满足n*a^n ≡b (mod p) 的n的个数.\(1<=a,b<p\), \(p<=1e6+3\), \(x<=10^{12}\). \(Solution\) 边界很大,p比较小且为质数,考虑左边这个式子有没有循环节. 由费马小定理 \(a^{p-1} ≡a^0 ≡1(mod\ p)\),\(a^n\)的循环节(一定)为 \(p-1\):\(n%p\) 的循环节(一定)为p 所以 \(n*a^n\) 一…

题目描述 求  $g^{\sum\limits_{k|n}C_{n}^{\frac nk}}\mod 999911659$ 输入 有且仅有一行:两个数N.G,用一个空格分开. 输出 有且仅有一行:一个数,表示答案除以999911659的余数. 样例输入 4 2 样例输出 2048 题解 费马小定理+Lucas定理+中国剩余定理 首先由费马小定理$a^{p-1}\equiv 1\ \ (mod\ p)$,可以将模数转化到答案的指数上,即求$\sum\limits_{k|n}C_{n}^{\frac…

Problem A:题目传送门 题目大意:给你N家店,每家店有不同的价格卖苹果,ai元bi斤,那么这家的苹果就是ai/bi元一斤,你要买M斤,问最少花多少元. 题解:贪心,找最小的ai/bi. #include <cstdio> using namespace std; double minn=2e9,x,y,M; int N; int read() { '); +c-'; return x; } inline double min(double x,double y){return x<…

A. Supermarket We often go to supermarkets to buy some fruits or vegetables, and on the tag there prints the price for a kilo. But in some supermarkets, when asked how much the items are, the clerk will say that a yuan for b kilos (You don't need to…

D. Substring time limit per test 3 seconds memory limit per test 256 megabytes input standard input output standard output You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's valu…

D. Substring time limit per test3 seconds memory limit per test256 megabytes Problem Description You are given a graph with n nodes and m directed edges. One lowercase letter is assigned to each node. We define a path's value as the number of the mos…

C. Seat Arrangements time limit per test1 second memory limit per test256 megabytes Problem Description Suppose that you are in a campus and have to go for classes day by day. As you may see, when you hurry to a classroom, you surprisingly find that…