Tiling
Time Limit: 1000MS | Memory Limit: 65536K | |
Total Submissions: 9194 | Accepted: 4372 |
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.
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
n=0的时候是1
#include <stdio.h>
#include<string.h>
using namespace std;
char sum[1010];
void f(char s1[], char s2[])
{
int l1 = strlen(s1),l2=strlen(s2);
memset(sum, 0,sizeof(sum));
int len;
if(l1>l2)len=l1;
else len = l2;
int ksum = 0,k = 0;
for(int i = 0; i<=len;++i)
{
ksum = k;
if(i<l1)ksum+=(s1[i]-'0');
if(i<l2)ksum+=2*(s2[i]-'0');
sum[i] = ksum%10+'0';
k = ksum/10;
}
if(sum[len]=='0')sum[len] = '\0';
else sum[len+1] = '\0' ;
strcpy(sum,sum);
}
int main()
{
int n;
char s1[1000], s2[1000];
char k1[] ={"3"};
char k2[] ={"1"};
while(~scanf("%d", &n))
{
if(n<=1)printf("1\n");
else if(n==2)printf("3\n");
else
{
strcpy(s1,k1);
strcpy(s2,k2);
for(int i = 3; i<=n; ++i)
{
f(s1, s2);
strcpy(s2,s1);
strcpy(s1,sum);
}
int len = strlen(s1);
for(int i = len-1;i>=0;--i)printf("%c",s1[i]);
printf("\n");
}
}
return 0;
}