How to Solve Find Substring With Given Hash Value Problem
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Find Substring With Given Hash Value
The hash of a 0-indexed string s of length k, given integers p and m, is computed using the following function: hash(s, p, m) = (val(s[0]) * p0 + val(s[1]) * p1 + ... + val(s[k-1]) * pk-1) mod m. Wher...
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Understanding the Find Substring With Given Hash Value Problem
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Problem Statement
The hash of a 0-indexed string s of length k, given integers p and m, is computed using the following function: hash(s, p, m) = (val(s[0]) * p0 + val(s[1]) * p1 + ... + val(s[k-1]) * pk-1) mod m. Where val(s[i]) represents the index of s[i] in the alphabet from val('a') = 1 to val('z') = 26. You are given a string s and the integers power, modulo, k, and hashValue. Return sub, the first substring of s of length k such that hash(sub, power, modulo) == hashValue. The test cases will be generated such that an answer always exists. A substring is a contiguous non-empty sequence of characters within a string.
Find Substring With Given Hash Value
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Examples
s = "leetcode", power = 7, modulo = 20, k = 2, hashValue = 0"ee"The hash of "ee" can be computed to be hash("ee", 7, 20) = (5 * 1 + 5 * 7) mod 20 = 40 mod 20 = 0. "ee" is the first substring of length 2 with hashValue 0. Hence, we return "ee".
s = "fbxzaad", power = 31, modulo = 100, k = 3, hashValue = 32"fbx"The hash of "fbx" can be computed to be hash("fbx", 31, 100) = (6 * 1 + 2 * 31 + 24 * 312) mod 100 = 23132 mod 100 = 32. The hash of "bxz" can be computed to be hash("bxz", 31, 100) = (2 * 1 + 24 * 31 + 26 * 312) mod 100 = 25732 mod 100 = 32. "fbx" is the first substring of length 3 with hashValue 32. Hence, we return "fbx". Note that "bxz" also has a hash of 32 but it appears later than "fbx".
Constraints
1 <= k <= s.length <= 2 * 1041 <= power, modulo <= 1090 <= hashValue < modulos consists of lowercase English letters only.The test cases are generated such that an answer always exists.How Interview Coder Helps with Leetcode Problems
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