POJ 题目2506Tiling(大数)

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Tiling
Time Limit: 1000MS Memory Limit: 65536KTotal Submissions: 8128 Accepted: 3941

Description

In how many ways can you tile a 2xn rectangle by 2x1 or 2x2 tiles? 
Here is a sample tiling of a 2x17 rectangle. 

Input

Input is a sequence of lines, each line containing an integer number 0 <= n <= 250.

Output

For each line of input, output one integer number in a separate line giving the number of possible tilings of a 2xn rectangle. 

Sample Input

2812100200

Sample Output

317127318451004001521529343311354702511071292029505993517027974728227441735014801995855195223534251

Source

The UofA Local 2000.10.14

公式a[n]=a[n-1]+a[n-2]*2

ac代码

#include<stdio.h>#include<string.h>int str[255][100];void fun(){str[0][0]=1;str[1][0]=1;str[2][0]=3;int temp,i,j;temp=0;for(i=3;i<=250;i++){for(j=0;j<100;j++){temp+=(str[i-2][j])*2+str[i-1][j];str[i][j]=temp%10;temp/=10;}}}int main(){fun();int n;while(scanf("%d",&n)!=EOF){int i;for(i=99;i>=0;i--){if(str[n][i]!=0)break;}for(;i>=0;i--){printf("%d",str[n][i]);}printf("\n");}}


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