Throwing dice#867

Throwing dice

1 second
128 megabytes
Easy

A dice with faces numbered from to is rolled times. Find the probability that the sum of all the rolled numbers will be exactly .

Input

Two integers and q~(1 \le n \le 500, 1 \le q \le 3000).

Output

Print the required probability with at least two decimal places.

Examples

Example 1

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