POJ 题目2506Tiling（大数）

Tiling

Time Limit: 1000MS		Memory Limit: 65536K
Total 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

2
8
12
100
200

Sample Output

3
171
2731
845100400152152934331135470251
1071292029505993517027974728227441735014801995855195223534251

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");
	}
}