B. Reversing Encryption
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
A string ss of length nn can be encrypted by the following algorithm:
- iterate over all divisors of nn in decreasing order (i.e. from nn to 11),
- for each divisor dd, reverse the substring s[1…d]s[1…d] (i.e. the substring which starts at position 11 and ends at position dd).
For example, the above algorithm applied to the string ss="codeforces" leads to the following changes: "codeforces" →→"secrofedoc" →→ "orcesfedoc" →→ "rocesfedoc" →→ "rocesfedoc" (obviously, the last reverse operation doesn't change the string because d=1d=1).
You are given the encrypted string tt. Your task is to decrypt this string, i.e., to find a string ss such that the above algorithm results in string tt. It can be proven that this string ss always exists and is unique.
Input
The first line of input consists of a single integer nn (1≤n≤1001≤n≤100) — the length of the string tt. The second line of input consists of the string tt. The length of tt is nn, and it consists only of lowercase Latin letters.
Output
Print a string ss such that the above algorithm results in tt.
Examples
input
Copy
10 rocesfedoc
output
Copy
codeforces
input
Copy
16 plmaetwoxesisiht
output
Copy
thisisexampletwo
input
Copy
1 z
output
Copy
z
Note
The first example is described in the problem statement.
代码如下：
#include <iostream>
#include <cstring>
#include <cstdio>
using namespace std;
bool isdivisor(int a,int n)
{
if(n%a==0) return true;
else return false;
}
int main()
{
int n;
char s[110];
cin>>n;
scanf("%s",&s);
for(int i=2;i<n;++i)
{
if(isdivisor(i,n))
{
for(int j=0;j<i/2;++j)
{
char a;
a=s[j];
s[j]=s[i-1-j];
s[i-1-j]=a;
}
}
}
for(int i=n-1;i>=0;--i)
cout<<s[i];
cout<<endl;
return 0;
}