题目大意就是求一下 杨辉三角的第N行中不能被P整除的有多少个. 直接卢卡斯定理一下就行啦. #include<bits/stdc++.h> #define ll long long using namespace std; void W(int x,int y){ if(x>4) return; W(x+1,y/10),putchar(y%10+'0');} int n,p,ans,m,C; int main(){ while(scanf("%d%d",&p,…

Interesting Yang Yui Triangle Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 332    Accepted Submission(s): 199 Problem Description Harry is a Junior middle student. He is very interested in th…

hdu 3304 Interesting Yang Yui Triangle 题意: 给出P,N,问第N行的斐波那契数模P不等于0的有多少个? 限制: P < 1000,N <= 10^9 思路: lucas定理. 假设: n = a[k]*p^k + a[k-1]*p^(k-1) + ... + a[1]*p + a[0] m = b[k]*p^k + b[k-1]*p^(k-1) + ... + b[1]*p + b[0] 则: C(n,m) = pe(i=0~k,C(a[i],b[i])…

输入p n 求杨辉三角的第n+1行不能被p整除的数有多少个 Lucas定理: A.B是非负整数,p是质数.AB写成p进制:A=a[n]a[n-1]...a[0],B=b[n]b[n-1]...b[0].     则组合数C(A,B)与C(a[n],b[n])*C(a[n-1],b[n-1])*...*C(a[0],b[0])  mod p同余 即:Lucas(n,m,p)=c(n%p,m%p)*Lucas(n/p,m/p,p),在存在i.b[i]>a[i]时,mod值为0,所以必然整除.当对于全…

Interesting Yang Hui Triangle 题目大意:杨辉三角第n + 1行不能整除p(p是质数)的数的个数 题解: lucas定理C(n,m) = πC(ni,mi) (mod p) 蓝书犯了两个错误 第一,题意弄错了,应该是“不能”,蓝书上写的能 第二,组合数通用记法弄错了.C(n,m)应该记为: $\left( ^n_m \right)$ 蓝书上记的是 $\left( ^m_n \right)$ 根据lucas定理,发现要想为0,必须存在ni < mi,若不为零,则必有所有…

[SinGuLaRiTy] Copyright (c) SinGuLaRiTy 2017.  All Rights Reserved. [CQBZOJ 2011] 计算系数 题目描述 给定一个多项式(ax + by)^k,请求出多项式展开后x^n y^m项的系数. 输入 共一行,包含 5 个整数,分别为a,b,k,n,m,每两个整数之间用一个空格隔开. 输出 输出共 1 行,包含一个整数,表示所求的系数,这个系数可能很大,输出对10007 取模后的结果. 样例数据 样例输入 样例输出 1 1 3…

DP? Time Limit: 10000/3000 MS (Java/Others)    Memory Limit: 128000/128000 K (Java/Others)Total Submission(s): 1804    Accepted Submission(s): 595 Problem Description Figure 1 shows the Yang Hui Triangle. We number the row from top to bottom 0,1,2,…a…

DP? Problem Description Figure 1 shows the Yang Hui Triangle. We number the row from top to bottom 0,1,2,…and the column from left to right 0,1,2,….If using C(n,k) represents the number of row n, column k. The Yang Hui Triangle has a regular pattern…

import java.util.Scanner;public class yanghui{ public static void main(String[] args){  Scanner sc=new Scanner(System.in);  System.out.println("\nPlease enter the number of Yang Hui triangle rows:");  int n=sc.nextInt();  int [][]a=new int [n][]…

尽量沿着边走距离最短.化减后 C(n+1,k)+ n - k, 预处理阶乘,Lucas定理组合数取模 DP? Time Limit: 10000/3000 MS (Java/Others)    Memory Limit: 128000/128000 K (Java/Others) Total Submission(s): 1899    Accepted Submission(s): 633 Problem Description Figure 1 shows the Yang Hui Tri…