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Glory to the Segtree

Glory to the Algorithm.

Self LoveGo home

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Problem Leaderboard

Problem Leaderboard

Self Love

After cashing in on his last caper, YouKnowWho stumbles upon a dusty tome titled “Mirrors in the Square”. Each page whispers the name of a number that sees itself at the end of its square.
To unlock the vault of the Arithmancers, he needs the k-th such “self-loving” integer.
The guards? Just exponents and carries. The key? Your code. Don’t keep YouKnowWho waiting.

Input

Single integer k (1-indexed), asking for the k-th "self-loving" number.

Output

Print the k-th integer n such that n2 ends in n.

Sample Input

4

Sample Output

6

Explanation

The first 4 numbers are: 0, 1, 5, 6.