In mathematics, a **subsequence** is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements.

For example **abc** is a subsequence of **azbxc** but **axb** is not a subsequence of **azbxc**.

You will be given strings consisting of lower case English alphabets. The task for each string is to print the number of distinct subsequences (include empty subsequence).

**Input: **

The first line of input contains a single integer **T** denoting the number of test cases.

Then **T** test cases follow. The first and only line of each test case consists of a string of lower case English alphabets.

**Output:**

Corresponding to each test case, in a new line, print the number distinct subsequences. The answer may be too large, so print the answer modulo 10^{9}+7.

**Constraints:**

1 ≤ **T** ≤ 100

1 ≤ **length of string** ≤ 1000

**Example:**

**Input**

2

aa

abbb

**Output**

3

8

**Explanation**:

In first test case for aa, the set of distinct substrings will {a, aa, Ø}. Here Ø means the empty substring.

In second test case for abbb the set is {a, ab, abb, abbb, b, bb, bbb, Ø}.

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