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Perfect Squares :

Author

Yash Sahijwani

Difficulty Level : Easy

Submissions : 1447

Asked In : Flipkart

Marks :10

: 14 | : 4

Given an integer $$$n$$$, return the least number of perfect square numbers that sum to $$$n$$$.

Input

The input consists of a single integer $$$n$$$ $$$-$$$ $$$(1 \leq n \leq 10^9)$$$.

Output

The output should consist of a single integer $$$-$$$ the minimum number of perfect square numbers that sum to $$$n$$$.

Example

Input
5
Output
2

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Result : Executed

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Result : Accepted

Test Cases :

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