Find the sum#8546
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Find the sum

1 second
128 megabytes
Easy

For the given value of , compute the sum

S = {1 \over 1 \cdot 2} + {1 \over 2 \cdot 3} + \cdots + {1 \over n \cdot (n + 1)}

Input

One positive integer n~(n \le 1000).

Output

Print the sum with decimal places.

Examples

Example 1

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Example 2

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