给a^x == b (mod c)求满足的最小正整数x, 用BSGS求,令m=ceil(sqrt(m)),x=im-j,那么a^(im)=ba^j%p;, 我们先枚举j求出所有的ba^j%p,1<=j<m复杂度O(sqrt(c)),然后枚举1<=i<=m,求出a^(im)在ba^j找满足条件的答案,最后的答案就是第一个满足条件的i*m-j,复杂度O(sqrt(c)) //#pragma comment(linker, "/stack:200000000") //…

本文版权归ljh2000和博客园共有,欢迎转载,但须保留此声明,并给出原文链接,谢谢合作. 本文作者:ljh2000 作者博客:http://www.cnblogs.com/ljh2000-jump/转载请注明出处,侵权必究,保留最终解释权! Description Given a prime P, 2 <= P < 231, an integer B, 2 <= B < P, and an integer N, 1 <= N < P, compute the disc…

<题目链接> 题目大意: P是素数,然后分别给你P,B,N三个数,然你求出满足这个式子的L的最小值 : BL== N (mod P). 解题分析: 这题是bsgs算法的模板题. #include <stdio.h> #include <string.h> #include <iostream> #include <algorithm> #include <string> #include <math.h> #include…

Discrete Logging Time Limit: 5000MS   Memory Limit: 65536K Total Submissions: 5577   Accepted: 2494 Description Given a prime P, 2 <= P < 231, an integer B, 2 <= B < P, and an integer N, 1 <= N < P, compute the discrete logarithm of N, b…

题目: 给出A,B,C 求最小的x使得Ax=B  (mod C) 题解: bsgs算法的模板题 bsgs 全称:Baby-step giant-step 把这种问题的规模降低到了sqrt(n)级别 首先B的种类数不超过C种,结合鸽巢原理,所以Ax具有的周期性显然不超过C 所以一般的枚举算法可以O(C)解决这个问题 但是可以考虑把长度为C的区间分为k块,每块长度为b 显然x满足x=bi-p的形式(1<=i<=k,0<=p<b),所以Ax=B  (mod C)移项之后得到Abi=Ap*…

[BZOJ3239]Discrete Logging Description Given a prime P, 2 <= P < 231, an integer B, 2 <= B < P, and an integer N, 2 <= N < P, compute the discrete logarithm of N, base B, modulo P. That is, find an integer L such that BL== N (mod P) Inpu…

Discrete Logging Given a prime P, 2 <= P < 2 31, an integer B, 2 <= B < P, and an integer N, 1 <= N < P, compute the discrete logarithm of N, base B, modulo P. That is, find an integer L such that B L == N (mod P) Input Read several line…

http://poj.org/problem?id=2417 BSGS 大步小步法( baby step giant step ) sqrt( p )的复杂度求出 ( a^x ) % p = b % p中的x https://www.cnblogs.com/mjtcn/p/6879074.html 我的代码中预处理a==b和b==1的部分其实是不必要的,因为w=sqrt(p)(向上取整),大步小步法所找的x包含从0到w^2. #include<iostream> #include<cst…

3239: Discrete Logging Time Limit: 1 Sec  Memory Limit: 128 MBSubmit: 729  Solved: 485[Submit][Status][Discuss] Description Given a prime P, 2 <= P < 231, an integer B, 2 <= B < P, and an integer N, 2 <= N < P, compute the discrete logar…

Discrete Logging Time Limit: 5000MS   Memory Limit: 65536K Total Submissions: 5865   Accepted: 2618 Description Given a prime P, 2 <= P < 231, an integer B, 2 <= B < P, and an integer N, 1 <= N < P, compute the discrete logarithm of N, b…

题目大意:给出$P,B,N$,求最小的正整数$L$,使$B^L\equiv N(mod\ P)$. $BSGS$模板题. #include<set> #include<map> #include<queue> #include<stack> #include<cmath> #include<cstdio> #include<vector> #include<bitset> #include<cstring…

题目链接:http://poj.org/problem?id=2417 题目: 题意: 求一个最小的x满足a^x==b(mod p),p为质数. 思路: BSGS板子题,推荐一篇好的BSGS和扩展BSGS的讲解博客:http://blog.miskcoo.com/2015/05/discrete-logarithm-problem 代码实现如下: #include <set> #include <map> #include <queue> #include <st…

POJ 2417 Discrete Logging Time Limit: 5000MS   Memory Limit: 65536K Total Submissions: 4860   Accepted: 2211 Description Given a prime P, 2 <= P < 231, an integer B, 2 <= B < P, and an integer N, 1 <= N < P, compute the discrete logarith…

Discrete Logging Time Limit: 5000MS   Memory Limit: 65536K Total Submissions: 5120   Accepted: 2319 Description Given a prime P, 2 <= P < 231, an integer B, 2 <= B < P, and an integer N, 1 <= N < P, compute the discrete logarithm of N, b…

我先转为敬? orz% miskcoo 贴板子 BZOJ 3239: Discrete Logging//2480: Spoj3105 Mod(两道题输入不同,我这里只贴了3239的代码) CODE #include<bits/stdc++.h> using namespace std; typedef long long LL; int p, a, b; int gcd(int a, int b) { return b ? gcd(b, a%b) : a; } inline int qpow…

[题目链接] http://www.lydsy.com/JudgeOnline/problem.php?id=3239 [题目大意] 计算满足 Y^x ≡ Z ( mod P) 的最小非负整数 [题解] BSGS裸题. [代码] #include <cstdio> #include <cmath> #include <map> #include <algorithm> #include <tr1/unordered_map> using name…

Discrete Logging Time Limit: 5000MS   Memory Limit: 65536K Total Submissions: 2819   Accepted: 1386 Description Given a prime P, 2 <= P < 231, an integer B, 2 <= B < P, and an integer N, 1 <= N < P, compute the discrete logarithm of N, b…

3239: Discrete Logging Time Limit: 1 Sec  Memory Limit: 128 MBSubmit: 635  Solved: 413[Submit][Status][Discuss] Description Given a prime P, 2 <= P < 231, an integer B, 2 <= B < P, and an integer N, 2 <= N < P, compute the discrete logar…

模板最主要的是自己看得舒服,不会给自己留隐患,调起来比较简单,板子有得是,最主要的是改造出适合你的那一套.                  ——mzz #include<bits/stdc++.h> #define int long long using namespace std; ; struct Hash_Tablet{ int val,nex,id; }edge[mod<<];],num; int a,b,c,ans; void init(){ memset(first,…

Discrete Logging Time Limit: 5000MS   Memory Limit: 65536K Total Submissions: 2831   Accepted: 1391 Description Given a prime P, 2 <= P < 231, an integer B, 2 <= B < P, and an integer N, 1 <= N < P, compute the discrete logarithm of N, b…

Discrete Logging poj-2417 题目大意:求$a^x\equiv b(mod\qquad c)$ 注释:O(分块可过) 想法:介绍一种算法BSGS(Baby-Step Giant-Step),网上大佬说拔山盖世qwq 算法是这样的(贼难受,所以手写了) 最后,附上丑陋的代码... ... #include <iostream> #include <cstdio> #include <cstring> #include <algorithm>…

Description Given a prime P, 2 <= P < 231, an integer B, 2 <= B < P, and an integer N, 1 <= N < P, compute the discrete logarithm of N, base B, modulo P. That is, find an integer L such that B L  == N (mod P) Input Read several lines of…

就是一道模板题! 这里再强调一下 BSGS 考虑方程\(a^x = b \pmod p\) 已知a,b,p\((2 \le p\le 10^9)\),其中p为质数,求x的最小正整数解 解法: 注意到如果有解,那么一定满足\(0<x<p\) 设\(t=\lfloor \sqrt p \rfloor\) 那么一定有 \((a^t)^c=ba^d \pmod p\) 此时\(x=ct-d(0 \le d <t)\) 因为$$\frac{a{ct}}{ad} = b \pmod p$$ 那么我们…

1798: [Ahoi2009]Seq 维护序列seq Time Limit: 30 Sec  Memory Limit: 64 MB Description 老师交给小可可一个维护数列的任务,现在小可可希望你来帮他完成. 有长为N的数列,不妨设为a1,a2,-,aN .有如下三种操作形式: (1)把数列中的一段数全部乘一个值; (2)把数列中的一段数全部加一个值; (3)询问数列中的一段数的和,由于答案可能很大,你只需输出这个数模P的值. Input 第一行两个整数N和P(1≤P≤100000…

题目: http://acm.hdu.edu.cn/showproblem.php?pid=2222 AC自动机模板题 我现在对AC自动机的理解还一般,就贴一下我参考学习的两篇博客的链接: http://blog.csdn.net/niushuai666/article/details/7002823 http://www.cppblog.com/menjitianya/archive/2014/07/10/207604.html #include<stdio.h> #include<s…

题意: 求两个字符串的LCP SOL: 模板题.连一起搞一搞就好了...主要是记录一下做(sha)题(bi)过程心(cao)得(dan)体(xin)会(qing) 后缀数组概念...还算是简单的,过程也非常清晰...就是老人家...马丹代码那么写意真的是...每一句代码的意思大概都知道但是不能很准确的描述...自己实现又漏洞百出...所以虽然避免了抄模板...但还是相当于一个默写的过程... 然后这个题目...非常显然嘛不是...然后就打了...然后开始调...TLE...TLE...TLE..…

http://www.lydsy.com/JudgeOnline/problem.php?id=3239 题意:原题很清楚了= = #include <bits/stdc++.h> using namespace std; map<int, int> s; typedef long long ll; int mpow(int a, int b, int p) { a%=p; int r=1; while(b) { if(b&1) r=((ll)r*a)%p; a=((ll)…

1.HDU 1251 统计难题  Trie树模板题,或者map 2.总结:用C++过了,G++就爆内存.. 题意:查找给定前缀的单词数量. #include<iostream> #include<cstring> #include<cmath> #include<queue> #include<algorithm> #include<cstdio> #define max(a,b) a>b?a:b #define F(i,a,b…

1.HDU-3549   Flow Problem 2.链接:http://acm.hdu.edu.cn/showproblem.php?pid=3549 3.总结:模板题,参考了 http://www.cnblogs.com/Lyush/archive/2011/08/08/2130660.html  ,里面有几种模板,没太看懂 题意:给定有向图,求第1到第n个点的最大流. #include<iostream> #include<cstring> #include<cmat…

http://acm.hdu.edu.cn/showproblem.php?pid=4280 题意:在最西边的点走到最东边的点最大容量. 思路:ISAP模板题,Dinic过不了. #include <cstdio> #include <algorithm> #include <iostream> #include <cstring> #include <string> #include <cmath> #include <que…