You are given a string \(S\) consisting of lowercase alphabets. A good subsequence of this string is a subsequence which contains distinct characters only.
Determine the number of good subsequences of the maximum possible length modulo \(10^9 + 7\).
In other words, determine the length \(X\) of the longest good subsequence and the number of good subsequences of length \(X\) modulo \(10^9 + 7\).
Input format
- First line: An integer \(T\) denoting the number of test cases
- Each of the next \(T\) lines: String \(S\)
Output format
For each test case, print the number of good subsequences of the maximum length modulo \(10^9 + 7\).
Answer for each test case should come in a new line.
Input Constraints
\(1 \le T \le 10\)
\(1 \le |S| \le 10^5\)
In the first testcase, any one of the \(a\) can be chosen. Hence there are \(3\) good subsequences of maximum length.
In the second testcase, the maximum length of a good subsequence is \(2\). There are \(4\) such subsequences (listed by indices):
- (1, 2)
- (1, 3)
- (2, 4)
- (3, 4)
In the third testcase, the maximum length of a good subsequence is \(4\) and there is only \(1\) such subsequence.
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