1sting
You will be given a string which only contains ‘1’; You can merge two adjacent ‘1’ to be ‘2’, or leave the ‘1’ there. Surly, you may get many different results. For example, given 1111 , you can get 1111, 121, 112,211,22. Now, your work is to find the total number of result you can get.
InputThe first line is a number n refers to the number of test cases. Then n lines follows, each line has a string made up of ‘1’ . The maximum length of the sequence is 200.
OutputThe output contain n lines, each line output the number of result you can get .
Sample Input
3
1
11
11111
Sample Output
1
2
8
自己找规律可得为Fibonacci数列,但递归到已为大位数运算,long long __int64皆不可以,最好的办法为开数组
#include<iostream>
#include<cstring>
#include<cstdio>
using namespace std;
const int maxn=;
int a[][maxn];
int main()
{
int n,i,j,count,T;
for(i=;i<=;i++)
{
for(j=;j<=;j++)
{
a[i][j]=;
}
}
a[][]=;
a[][]=;
for(i=;i<=;i++)
{
for(j=;j<=;j++)
{
a[i][j]=a[i][j]+a[i-][j]+a[i-][j];
if(a[i][j]>=)
{
a[i][j]=a[i][j]-;
a[i][j+]=a[i][j+]+;
}
}
}
cin>>T;
while(T--)
{
char b[];
cin>>b;
n=strlen(b);
for(i=;i>=;i--)
{
if(a[n][i]!=)
{
count=i;
break;
}
}
for(i=count;i>=;i--)
{
cout<<a[n][i];
}
cout<<endl;
}
return ;
}
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