How to Solve Number of Strings Which Can Be Rearranged to Contain Substring Problem
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Number of Strings Which Can Be Rearranged to Contain Substring
You are given an integer n. A string s is called good if it contains only lowercase English characters and it is possible to rearrange the characters of s such that the new string contains "leet" as a...
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Problem Statement
You are given an integer n. A string s is called good if it contains only lowercase English characters and it is possible to rearrange the characters of s such that the new string contains "leet" as a substring. For example: The string "lteer" is good because we can rearrange it to form "leetr" . "letl" is not good because we cannot rearrange it to contain "leet" as a substring. Return the total number of good strings of length n. Since the answer may be large, return it modulo 109 + 7. A substring is a contiguous sequence of characters within a string.
Number of Strings Which Can Be Rearranged to Contain Substring
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Examples
n = 4
12
The 12 strings which can be rearranged to have "leet" as a substring are: "eelt", "eetl", "elet", "elte", "etel", "etle", "leet", "lete", "ltee", "teel", "tele", and "tlee".
n = 10
83943898
The number of strings with length 10 which can be rearranged to have "leet" as a substring is 526083947580. Hence the answer is 526083947580 % (109 + 7) = 83943898.
Constraints
1 <= n <= 105
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