Write a code in C++ / cpp to solve the following problem In a hypothetical island, one can buy land in squares where the length of a square side must be a positive integer amount of meters. Buying a square of land with a side a costs a2 rhombics (a local currency). Sasha has decided to invest all of her N rhombics into the land. She can, surely, do it, buying square pieces 1 × 1 meters. At the same time she has requested to minimize the amount of pieces she buys.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Write a code in C++ / cpp to solve the following problem

In a hypothetical island, one can buy land in squares where the length of a square side must be a positive integer amount of meters. Buying a square of land with a side a costs a2 rhombics (a local currency).

Sasha has decided to invest all of her N rhombics into the land. She can, surely, do it, buying square pieces 1 × 1 meters. At the same time she has requested to minimize the amount of pieces she buys.

Can you find out the number of pieces she has bought ?

Input

The only line contains a positive integer N ≤ 60 000 , that is a number of rhombics that Sasha has invested.

Output

The only line contains the number of pieces she has bought.

Sample 1

Input: 344

Output: 3

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