A Square Problem

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A Square Problem

There live square people in a square country .Everything in this country is square also. thus, the Square Parliament has passed a law about a land. According to the law each citizen of the country has a right to buy land. A land is sold in squares, surely, Moreover, a length of a square side must also be a natural amount of meters. Buying a square of land with a side pay a^2 quadrics( a local currency) and gets a square certificate of a landowner.

One citizen of the country has decided to invest all of his N quadrics into the land. He can, surely, do it, buying square pieces 1*1 meters. At the same time the citizen has requested to minimize an amount of pieces he buys: "It will be easier for me to pay taxes," - he has said. He has brought the land successfully.

Your task is to find out a number of certificates he has gotten.

Input

The only line contains a natural number N<=60000 - that is a number of quadrics that the citizen has invested.

Output

The only line contains a number of certificates that he has gotten.

Sample Input

344

Sample Output

HINT

344=(18^2)+(4^2)+(2^2)