Yet another Number Sequence Let’s define another number sequence, given by the following function:f(0) = af(1) = bf(n) = f(n − 1) + f(n − 2), n > 1When a = 0 and b = 1, this sequence gives the Fibonacci Sequence. Changing the values…

典型的两道矩阵快速幂求斐波那契数列 POJ 那是 默认a=0,b=1 UVA 一般情况是 斐波那契f(n)=(n-1)次幂情况下的(ans.m[0][0] * b + ans.m[0][1] * a): //POJ #include <cstdio> #include <iostream> using namespace std; ; struct matrix { ][]; }ans, base; matrix multi(matrix a, matrix b) { matrix…

简单矩阵快速幂. if(m==1) MOD=10; if(m==2) MOD=100; if(m==3) MOD=1000; if(m==4) MOD=10000; 剩下的就是矩阵快速幂求斐波那契数列第n项取模 #include<cstdio> #include<cstring> #include<cmath> #include<vector> #include<algorithm> using namespace std; long long…

题意:已知f(0) = a,f(1) = b,f(n) = f(n − 1) + f(n − 2), n > 1,求f(n)的后m位数. 分析:n最大为109,矩阵快速幂求解,复杂度log2(109). #include<cstdio> #include<cstring> #include<cstdlib> #include<cctype> #include<cmath> #include<iostream> #include&…

#include <iostream> #include <cstdio> #include <cstring> #include <algorithm> using namespace std; typedef long long ll; const int N = 4; int Mod; int msize; struct Mat { int mat[N][N]; }; Mat operator *(Mat a, Mat b) { Mat c; mems…

Problem B Number Sequence Input: standard input Output: standard output Time Limit: 1 second A single positive integer i is given. Write a program to find the digit located in the position i in the sequence of number groups S1S2…Sk. Each group Sk con…

题目连接:10706 - Number Sequence 题目大意:有一个有0 ~ 9组成的序列,1   1 2    1 2 3   1 2 3 4   1 2 3 4 5 ....就是第一位为1. 第二为为1 ,第三为为2, 然后10 的部分注意下, 为1  和0 两个, 100 就是1 , 0和0 三位,以此类推, 要求给出tmp, 输出序列中的tmp位为什么数字. 解题思路:数据很大,肯定不能模拟,找规律. 这两个是为推出来的用来打表的公式: 1.sum[i] = sum[i - 1]…

Number Sequence Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 154923    Accepted Submission(s): 37854 Problem Description A number sequence is defined as follows: f(1) = 1, f(2) = 1, f(n) = (A…

找规律,先找属于第几个循环,再找属于第几个数的第几位...... Number Sequence Time Limit: 1000MS Memory Limit: 10000K Total Submissions: 31552 Accepted: 8963 Description A single positive integer i is given. Write a program to find the digit located in the position i in the sequ…

Number Sequence Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 8600    Accepted Submission(s): 3953 Problem Description Given two sequences of numbers : a[1], a[2], ...... , a[N], and b[1], b[…