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B. Reversing Encryption

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputA string $$$s$$$ of length $$$n$$$ can be encrypted by the following algorithm:

- iterate over all divisors of $$$n$$$ in decreasing order (i.e. from $$$n$$$ to $$$1$$$),
- for each divisor $$$d$$$, reverse the substring $$$s[1 \dots d]$$$ (i.e. the substring which starts at position $$$1$$$ and ends at position $$$d$$$).

For example, the above algorithm applied to the string $$$s$$$="codeforces" leads to the following changes: "codeforces" $$$\to$$$ "secrofedoc" $$$\to$$$ "orcesfedoc" $$$\to$$$ "rocesfedoc" $$$\to$$$ "rocesfedoc" (obviously, the last reverse operation doesn't change the string because $$$d=1$$$).

You are given the encrypted string $$$t$$$. Your task is to decrypt this string, i.e., to find a string $$$s$$$ such that the above algorithm results in string $$$t$$$. It can be proven that this string $$$s$$$ always exists and is unique.

Input

The first line of input consists of a single integer $$$n$$$ ($$$1 \le n \le 100$$$) — the length of the string $$$t$$$. The second line of input consists of the string $$$t$$$. The length of $$$t$$$ is $$$n$$$, and it consists only of lowercase Latin letters.

Output

Print a string $$$s$$$ such that the above algorithm results in $$$t$$$.

Examples

Input

10

rocesfedoc

Output

codeforces

Input

16

plmaetwoxesisiht

Output

thisisexampletwo

Input

1

z

Output

z

Note

The first example is described in the problem statement.

Codeforces (c) Copyright 2010-2022 Mike Mirzayanov

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