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Problem 2062 Suneast & Yayamao

Accept: 280    Submit: 560
Time Limit: 1000 mSec    Memory Limit : 32768 KB

Problem Description

Yayamao is so cute that people loves it so much.

Everyone wants to buy Yayamao from Suneast (a business man who sells Yayamao).

Suneast is a strange business man. He sells Yayamao in a random price from 1, 2, 3, 4, 5…, n.

Suneast is also a lazy business man. He never looks for a change. But people can’t but Yayamao with a lower price, that say people must pay exact money for Yayamao.

Now, we want to know how many pieces of money people should bring with to buy a Yayamao with the exactly price.

Input

There are multiple test cases. Each test case has an integer n(1<=n<=2147483647) in a single line.

Output

For each case, output a single integer in a line indicate the number of pieces of money people should bring with to buy a Yayamao whose price is random from 1 to n.

Sample Input

1 2 5

Sample Output

1 2 3

Hint

In test case 1: people can bring 1 piece of money: 1

In test case 2: people can bring 2 pieces of money: (1, 1) or (1, 2)

In test case 3: people can bring 3 pieces of money: (1, 1, 3) or (1, 2, 2) ….

Source

FOJ有奖月赛-2011年11月

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