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3333. Find the Original Typed String II
Description
Alice is attempting to type a specific string on her computer. However, she tends to be clumsy and may press a key for too long, resulting in a character being typed multiple times.
You are given a string word
, which represents the final output displayed on Alice's screen. You are also given a positive integer k
.
Return the total number of possible original strings that Alice might have intended to type, if she was trying to type a string of size at least k
.
Since the answer may be very large, return it modulo 109 + 7
.
Example 1:
Input: word = "aabbccdd", k = 7
Output: 5
Explanation:
The possible strings are: "aabbccdd"
, "aabbccd"
, "aabbcdd"
, "aabccdd"
, and "abbccdd"
.
Example 2:
Input: word = "aabbccdd", k = 8
Output: 1
Explanation:
The only possible string is "aabbccdd"
.
Example 3:
Input: word = "aaabbb", k = 3
Output: 8
Constraints:
1 <= word.length <= 5 * 105
word
consists only of lowercase English letters.1 <= k <= 2000