Normalize scores

Given n scores, you would like to normalize them by dividing each of them by the sum of all the scores. This will turn each score into a value from 0 to 1.

The first line of the input contains a single integer n. The next n lines contain floating-point values of scores.

The program should output the normalized scores each on a separate line.

Input

Output

4
10
5
4
8

0.37037037037037035
0.18518518518518517
0.14814814814814814
0.2962962962962963

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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