Codeforces633H-Fibonacci-ish II】的更多相关文章

描述 2007年到来了.经过2006年一年的修炼,数学神童zouyu终于把0到100000000的Fibonacci数列(f[0]=0,f[1]=1;f[i] = f[i-1]+f[i-2](i>=2))的值全部给背了下来.接下来,CodeStar决定要考考他,于是每问他一个数字,他就要把答案说出来,不过有的数字太长了.所以规定超过4位的只要说出前4位就可以了,可是CodeStar自己又记不住.于是他决定编写一个程序来测验zouyu说的是否正确. 输入 输入若干数字n(0 <= n <=…
求fibonacci数列前N个数的K次方和. 通项公式:F[n]=((1+sqrt(5))/sqrt(5)-(1-sqrt(5))/sqrt(5))/sqrt(5). 有点乱,不过由于可以保证最后的结果是一个整数,所有所有的根号都可以化为整数进行取模和逆元运算. 首先解二次同余方程,X^2=n (mod M),显然,当n=5的时候,X就可以相当于5了. 后面的都可以替换掉. 然后就变成了 F[n]=(A^n+B^n)*C. 这里通过二项式展开,分别对每一项进行计算,同时又可以发现,每一项求和其实…
Description In the Fibonacci integer sequence, F0 = 0, F1 = 1, and Fn = Fn − 1 + Fn − 2 for n ≥ 2. For example, the first ten terms of the Fibonacci sequence are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, - An alternative formula for the Fibonacci sequence is…
时间限制:500MS  内存限制:65536K提交次数:270 通过次数:16 题型: 编程题   语言: C++;C Description 给你如下Fibonacci 数的定义: F1 = 1 F2 = 2 Fn = Fn-1 + Fn-2 (n >= 3) 给你两个数a与b,现要求你计算在a与b之间(包括a.b)有多少个Fibonacci 数 输入格式 有多行,每行有两个数a.b,使用空格分隔,a <= b <= 10^100(即最大10的100次方) 最后一行为两个0 输出格式…
Problem F. Fibonacci SystemTime Limit: 20 Sec Memory Limit: 256 MB 题目连接 http://acm.hust.edu.cn/vjudge/contest/view.action?cid=86821#problem/B Description Little John studies numeral systems. After learning all about fixed-base systems, he became inte…
Linked List Cycle II Given a linked list, return the node where the cycle begins. If there is no cycle, return null. Follow up:Can you solve it without using extra space? SOLUTION 1: 1. 先用快慢指针判断是不是存在环. 2. 再把slow放回Start处,一起移动,直到二个节点相遇,就是交点.…
[CF914G]Sum the Fibonacci 题解:给你一个长度为n的数组s.定义五元组(a,b,c,d,e)是合法的当且仅当: 1. $1\le a,b,c,d,e\le n$2. $(s_a|s_b) \& s_c \& (s_d $^$ s_e)=2^i$,i是某个整数3. $s_a \& s_b=0$ 求$\sum f(s_a|s_b) * f(s_c) * f(s_d $^$ s_e)$,f是斐波那契数列,对于所有合法的五元组(a,b,c,d,e).答案模$10^9…
H. Fibonacci-ish II 题目连接: http://codeforces.com/contest/633/problem/H Description Yash is finally tired of computing the length of the longest Fibonacci-ish sequence. He now plays around with more complex things such as Fibonacci-ish potentials. Fibo…
题目大意:给定一个长为$n$($n\leq 10^6$)的序列S,定义一个合法的五元组$(a,b,c,d,e)$合法当且仅当 $$ ( S_a \mid S_b ) and S_c and ( S_d \bigotimes S_e ) = 2^k $$ $$ S_a and S_b = 0 $$ 对于所有的合法的五元组,求 $ \sum_{合法(a,b,c,d,e)}\  F( S_a \mid S_b ) \times F( S_c ) \times F( S_d \bigotimes S_e…
Description Transmission Gate 你需要维护一个长度为\(n \leq 300000\) 的数列,兹词两个操作: 1.给一个区间加上一个fibonacci数列,规定\(f[0] = 0, f[1] = 1, f[2] = 1\) 2.查询一段区间的和.对1e9+9取模 操作个数m不超过300000. Solution ​ 这一题其实要考虑Fibonacci数列的两个性质: ​ (i)\(\sum_{i = 1}^{n} fib(i) = f(n + 2) - 1\) ​…
Fibonacci again and again Time Limit: 1000ms Memory Limit: 32768KB This problem will be judged on HDU. Original ID: 184864-bit integer IO format: %I64d      Java class name: Main   任何一个大学生对菲波那契数列(Fibonacci numbers)应该都不会陌生,它是这样定义的:F(1)=1;F(2)=2;F(n)=F…
/*******对读者说(哈哈如果有人看的话23333)哈哈大杰是华农的19级软件工程新手,才疏学浅但是秉着校科联的那句“主动才会有故事”还是大胆的做了一下建一个卑微博客的尝试,想法自己之后学到东西都记录一下自己学的同时或许(我说或许啊哈哈)能帮到博友,如果有啥错误的话还请各位大佬在下面留言怼我,指出我的错误所在,我一定更改哈哈,一般记录的都是我对一个知识点或者是一个算法专题的笔记和一些在博客园里面看到写的好的大佬的一些借鉴文章大部分都是在codeblocks里面写好了然后复制过来的,所以就有很…
今天这篇博客就聊聊几种常见的查找算法,当然本篇博客只是涉及了部分查找算法,接下来的几篇博客中都将会介绍关于查找的相关内容.本篇博客主要介绍查找表的顺序查找.折半查找.插值查找以及Fibonacci查找.本篇博客会给出相应查找算法的示意图以及相关代码,并且给出相应的测试用例.当然本篇博客依然会使用面向对象语言Swift来实现相应的Demo,并且会在github上进行相关Demo的分享. 查找在生活中是比较常见的,本篇博客所涉及的这几种查找都是基于线性结构的查找.也就是说我们的查找表是一个线性表,我…
Difficulty: Easy Topic: Fibonacci seqs Write a function which returns the first X fibonacci numbers. ;; 首先实现一个求fibonacci数的函数 ;;最简单的实现,就是通过定义来实现递归函数,(如下的fibonacci-number),但是这样缺点很明显,首先这不算尾递归,代码里面有大量的重复计算.其次,jvm不支持尾调用优化,因此,即使是尾递归,当嵌套层侧过深时,也会出现stackoverf…
题目链接:Path Sum II | LeetCode OJ Given a binary tree and a sum, find all root-to-leaf paths where each path's sum equals the given sum. For example: Given the below binary tree and sum = 22, 5 / \ 4 8 / / \ 11 13 4 / \ / \ 7 2 5 1 return [ [5,4,11,2],…
题目链接:Populating Next Right Pointers in Each Node II | LeetCode OJ Follow up for problem "Populating Next Right Pointers in Each Node". What if the given tree could be any binary tree? Would your previous solution still work? Note: You may only u…
原文标题:Functional Android (II): Collection operations in Kotlin 原文链接:http://antonioleiva.com/collection-operations-kotlin/ 原文作者:Antonio Leiva(http://antonioleiva.com/about/) 原文发布:2015-09-29 在简化代码方面,Lambda表达式是一个杰出的工具,而且还可以完成之前不可能完成的事.我们在这个系列文章的第一篇(Unlea…
统计分析中Type I Error与Type II Error的区别 在统计分析中,经常提到Type I Error和Type II Error.他们的基本概念是什么?有什么区别? 下面的表格显示 between truth/falseness of the null hypothesis and outcomes of the test " -------|-------|------- | Judgement of Null Hypothesis H0 | Valid | Invalid |…
经典的Fibonacci数的问题 主要想展示一下迭代与递归,以及尾递归的三种写法,以及他们各自的时间性能. public class Fibonacci { /*迭代*/ public static int process_loop(int n) { if (n == 0 || n == 1) { return 1; } int a = 1, b = 1; int i = 1; while (i < n) { i++; int t = b; b = a + t; a = t; } return…
题意: 给你一个数n,表示有n辆火车,编号从1到n,入站,问你有多少种出站的可能.    (题于文末) 知识点: ps:百度百科的卡特兰数讲的不错,注意看其参考的博客. 卡特兰数(Catalan):前几项为 : 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900, 2674440, 9694845, 35357670- 令h(0)=1,h(1)=1,catalan数满足递推式:      h(n)= h(0…
第一种:利用for循环 利用for循环时,不涉及到函数,但是这种方法对我种小小白来说比较好理解,一涉及到函数就比较抽象了... >>> fibs = [0,1] >>> for i in range(8): fibs.append(fibs[-2] + fibs[-1]) >>> fibs [0, 1, 1, 2, 3, 5, 8, 13, 21, 34] 或者说输入一个动态的长度: fibs = [0,1] num = input('How many…
We are playing the Guess Game. The game is as follows: I pick a number from 1 to n. You have to guess which number I picked. Every time you guess wrong, I'll tell you whether the number I picked is higher or lower. However, when you guess a particula…
A 2d grid map of m rows and n columns is initially filled with water. We may perform an addLand operation which turns the water at position (row, col) into a land. Given a list of positions to operate, count the number of islands after each addLand o…
Given a string s, return all the palindromic permutations (without duplicates) of it. Return an empty list if no palindromic permutation could be form. For example: Given s = "aabb", return ["abba", "baab"]. Given s = "a…
Given a collection of numbers that might contain duplicates, return all possible unique permutations. For example,[1,1,2] have the following unique permutations:[1,1,2], [1,2,1], and [2,1,1]. 这道题是之前那道Permutations 全排列的延伸,由于输入数组有可能出现重复数字,如果按照之前的算法运算,会有…
原文 Some fresh air After your time underground,you can return to ground level or maybe even a little higher at Kosciuszko Mound. The 34-meter hill is a memorial for a Polish military hero but also offers a panoramic view of surrounding city from top.…
自己没动脑子,大部分内容转自:http://www.jb51.net/article/37286.htm 斐波拉契数列,看起来好像谁都会写,不过它写的方式却有好多种,不管用不用的上,先留下来再说. 1.递归公式:f[n]=f[n-1]+f[n-2],f[1]=f[2]=1;(比较耗时,效率不高) 代码: int fib(int n) //递归实现 { ) { ; } || n==) ; )+fib1(n-); } 2.数组实现:空间复杂度和时间复杂度都是0(n),效率一般,比递归来得快.代码:…
Say you have an array for which the ith element is the price of a given stock on day i. Design an algorithm to find the maximum profit. You may complete as many transactions as you like (ie, buy one and sell one share of the stock multiple times). Ho…
A Simple OpenGL Shader Example II eryar@163.com Abstract. The OpenGL Shading Language syntax comes from the C family of programming languages. Tokes, identifiers, semicolons, nesting with curly braces, control-flow, and many key words look like C. GL…
题目链接:http://www.lintcode.com/zh-cn/problem/longest-increasing-continuous-subsequence-ii/ 最长上升连续子序列 II 给定一个整数矩阵(其中,有 n 行, m 列),请找出矩阵中的最长上升连续子序列.(最长上升连续子序列可从任意行或任意列开始,向上/下/左/右任意方向移动). 样例 给定一个矩阵 [ [1 ,2 ,3 ,4 ,5], [16,17,24,23,6], [15,18,25,22,7], [14,1…