You are provided an input string S and the string “GEEKS” . Can you figure out all possible subsequence “GEEKS” in the string S ? You have to tell the number of ways in which the subsequence “GEEKS” can be formed from the string S.

**Input:**

The first line of input contains a single integer T, denoting the number of test cases. Then T test cases follow. Each test case consists of two lines. The first line of each test case conatins an integer N denoting the size of the string S. Second line of each test case consists of a string S of size N.

**Output:**

Corresponding to each test case, print in a new line, a number denoting the number of ways in which we can form the subsequence "GEEKS". Output the answer modulo **1000000007.**

**Constraints :**

1<=T<=10

1<=N<=500

Input String contains only uppercase English Letters

**Examples:
Input**

2

5

GEEKS

8

AGEEKKSB

**Output :**

1

2

**Explanation : **

In the first test case the input string is GEEKS itself so the number of ways is 1.

For the second case there are two K's. So a total of two possible strings can be formed by taking either of the two K's.

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