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Count subsequences of type a^i, b^j, c^k
Medium Accuracy: 46.28% Submissions: 16382 Points: 4

Given a string S, the task is to count number of subsequences of the form aibjck, where i >= 1, j >=1 and k >= 1.

Note:
1. Two subsequences are considered different if the set of array indexes picked for the 2 subsequences are different.
2.  For large test cases, the output value will be too large, return the answer MODULO 10^9+7

Example 1:

Input:
S = "abbc"
Output: 3
Explanation: Subsequences are abc, abc and abbc.

Example 2:

Input:
S = "abcabc"
Output: 7
Explanation: Subsequences are abc, abc,
abbc, aabc abcc, abc and abc.

You don't need to read input or print anything. Your task is to complete the function fun() which takes the string S as input parameter and returns the number of subsequences which follows given condition.

Expected Time Complexity: O(Length of String).
Expected Auxiliary Space: O(1) .

Constraints:
1 <= |S| <= 105

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Count subsequences of type a^i, b^j, c^k