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…

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 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…

Description Today, the math teacher taught Alice Hui Yang’s triangle. However, the teacher came up with a new one, called Sama’s triangle (some of you may be familiar with this name).        In this triangle, there is only 30 row, and the ith row has…

[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…

基本算法 快速幂 ll ksm(ll a,ll b) { ll ans=; while(b) { ) ans=ans*a%p; b>>=; a=a*a%p; } return ans; } ksm 64位大整数乘法 ll mul(ll a,ll b) { ll ans=; while(b) { ) ans=(ans+a)%p; b>>=; a=a*%p; } return ans; } mul 离散化 ;i<=n;i++) scanf("%d",&…

DP? Time Limit: 10000/3000 MS (Java/Others)    Memory Limit: 128000/128000 K (Java/Others)Total Submission(s): 2871    Accepted Submission(s): 894 Problem Description Figure 1 shows the Yang Hui Triangle. We number the row from top to bottom 0,1,2,-a…

Link:  http://codeforces.com/contest/407/problem/A 给定直角三角形的2个直角边a,b.求在直角坐标系中,是否存在对应的直角三角形,使得三个定点都在整点上,并且三边都不和坐标轴平行. 如果存在,输出YES,和三个点的坐标.否则输出NO 很显然,为了方便,可以把原点作为 一个顶点. 这道题目做的时候少考虑了很多情况. 比如: 如何使得边不和坐标轴平行?  要保证要求的另外两个点的横坐标或者纵坐标不能相等. 如何保证三角形是直角三角形? 只需要保证,另…

Little Sub is about to take a math exam at school. As he is very confident, he believes there is no need for a review. Little Sub's father, Mr.Potato, is nervous about Little Sub's attitude, so he gives Little Sub a task to do. To his surprise, Littl…

Little Sub is about to take a math exam at school. As he is very confident, he believes there is no need for a review. Little Sub's father, Mr.Potato, is nervous about Little Sub's attitude, so he gives Little Sub a task to do. To his surprise, Littl…

Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below. For example, given the following triangle [ [], [,4], [6,,7], [4,,8,3] ] The minimum path sum from top to bottom is 11 (i.e.,…

Given an index k, return the kth row of the Pascal's triangle. For example, given k = 3,Return [1,3,3,1]. Note:Could you optimize your algorithm to use only O(k) extra space? 杨辉三角想必大家并不陌生,应该最早出现在初高中的数学中,其实就是二项式系数的一种写法. 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1…

Given numRows, generate the first numRows of Pascal's triangle. For example, given numRows = 5,Return [ [1], [1,1], [1,2,1], [1,3,3,1], [1,4,6,4,1] ] 杨辉三角是二项式系数的一种写法,如果熟悉杨辉三角的五个性质,那么很好生成,可参见我的上一篇博文: http://www.cnblogs.com/grandyang/p/4031536.html 具体生…

题目简述: Given an index k, return the kth row of the Pascal's triangle. For example, given k = 3, Return [1,3,3,1]. Note: Could you optimize your algorithm to use only O(k) extra space? 解题思路: 这里的关键是空间的使用,既然只能用O(K)很容易就想到我们要进行回卷(名字好像不对).我的做法是每一次都在后面新加入一个数…

题目简述: Given numRows, generate the first numRows of Pascal's triangle. For example, given numRows = 5, Return [ [1], [1,1], [1,2,1], [1,3,3,1], [1,4,6,4,1]] 解题思路: 很简单的问题,只要把两头的一拿出来,中间就是两个数相加了. class Solution: # @return a list of lists of integers def…

http://poj.org/problem?id=1163 The Triangle Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 32923   Accepted: 19514 Description 73 88 1 02 7 4 44 5 2 6 5 (Figure 1) Figure 1 shows a number triangle. Write a program that calculates the hi…

Triangle - Delaunay Triangulator  eryar@163.com Abstract. Triangle is a 2D quality mesh generator and Delaunay triangulator. Triangle was created as part of the Quake project in the school of Computer Science at Carnegie Mellon University by Jonathan…

Problem: Given numRows, generate the first numRows of Pascal's triangle. For example, given numRows = 5,Return [ [1], [1,1], [1,2,1], [1,3,3,1], [1,4,6,4,1] ] Summary: 输出杨辉三角的前n行. Solution: 方法类似于LeetCode 119 Pascal's Triangle II class Solution { publ…

Problem: Given an index k, return the kth row of the Pascal's triangle. For example, given k = 3,Return [1,3,3,1]. Note:Could you optimize your algorithm to use only O(k) extra space? Summary: 返回杨辉三角(帕斯卡三角)的第k行. Solution: 1. 若以二维数组的形式表示杨辉三角,则可轻易推算出ro…

Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below. For example, given the following triangle [      [2],     [3,4],    [6,5,7],   [4,1,8,3] ] The minimum path sum from top to b…

//此程序写出三个类,triangle,lader,circle:其中triangle类具有类型为double的a,b,c边以及周长,面积属性, //具有周长,面积以及修改三边的功能,还有判断能否构成三角形的boolean类. //lader类具有类型为double的上底下底和高,面积属性,具有返回面积的功能 //circlle 类具有类型为double的半径,周长和面积.具有返回周长面积的功能 //Lader类 class Lader { double shangDi; //上底 double…

引擎中,ray与quad求交,算法未细看,但有求解二次方程,不解.ray与triangle求交,使用的是97年经典算法,仔细看过论文,多谢小武同学指点,用到了克拉默法则求解线性方程组.想模仿该方法,做ray与quad的求交,发现方程里不仅有u和v,还有uv,没法变换成线性方程组的形式.本以为引擎中quad中四个点可以不共面,看过接口,不然,“不共面和退化的多边形不保证正确结果“.而后又有两个问题,一是,与一个quad求交比与两个三角形求交快吗?二是,如果前面的问题答案为否,即两个三角形更快,为何…

Home GameWorks Blog Life of a triangle - NVIDIA's logical pipeline   Life of a triangle - NVIDIA's logical pipeline Facebook Twitter LinkedIn Google+ By Christoph Kubisch, posted Mar 16 2015 at 12:52PM Tags:  GameWorks GameWorks Expert Developer DX12…

Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below. For example, given the following triangle [ [], [,4], [6,,7], [4,,8,3] ] The minimum path sum from top to bottom is 11 (i.e.,…