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1297. Maximum Number of Occurrences of a Substring

Description

Given a string s, return the maximum number of occurrences of any substring under the following rules:

  • The number of unique characters in the substring must be less than or equal to maxLetters.
  • The substring size must be between minSize and maxSize inclusive.

 

Example 1:

Input: s = "aababcaab", maxLetters = 2, minSize = 3, maxSize = 4
Output: 2
Explanation: Substring "aab" has 2 occurrences in the original string.
It satisfies the conditions, 2 unique letters and size 3 (between minSize and maxSize).

Example 2:

Input: s = "aaaa", maxLetters = 1, minSize = 3, maxSize = 3
Output: 2
Explanation: Substring "aaa" occur 2 times in the string. It can overlap.

 

Constraints:

  • 1 <= s.length <= 105
  • 1 <= maxLetters <= 26
  • 1 <= minSize <= maxSize <= min(26, s.length)
  • s consists of only lowercase English letters.

Solutions

Solution 1: Hash Table + Enumeration

According to the problem description, if a long string meets the condition, then its substring of length $\textit{minSize}$ must also meet the condition. Therefore, we only need to enumerate all substrings of length $\textit{minSize}$ in $s$, then use a hash table to record the occurrence frequency of all substrings, and find the maximum frequency as the answer.

The time complexity is $O(n \times m)$, and the space complexity is $O(n \times m)$. Here, $n$ and $m$ are the lengths of the string $s$ and $\textit{minSize}$, respectively. In this problem, $m$ does not exceed $26$.

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class Solution:
    def maxFreq(self, s: str, maxLetters: int, minSize: int, maxSize: int) -> int:
        ans = 0
        cnt = Counter()
        for i in range(len(s) - minSize + 1):
            t = s[i : i + minSize]
            ss = set(t)
            if len(ss) <= maxLetters:
                cnt[t] += 1
                ans = max(ans, cnt[t])
        return ans
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class Solution {
    public int maxFreq(String s, int maxLetters, int minSize, int maxSize) {
        int ans = 0;
        Map<String, Integer> cnt = new HashMap<>();
        for (int i = 0; i < s.length() - minSize + 1; ++i) {
            String t = s.substring(i, i + minSize);
            Set<Character> ss = new HashSet<>();
            for (int j = 0; j < minSize; ++j) {
                ss.add(t.charAt(j));
            }
            if (ss.size() <= maxLetters) {
                cnt.put(t, cnt.getOrDefault(t, 0) + 1);
                ans = Math.max(ans, cnt.get(t));
            }
        }
        return ans;
    }
}
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class Solution {
public:
    int maxFreq(string s, int maxLetters, int minSize, int maxSize) {
        int ans = 0;
        unordered_map<string, int> cnt;
        for (int i = 0; i < s.size() - minSize + 1; ++i) {
            string t = s.substr(i, minSize);
            unordered_set<char> ss(t.begin(), t.end());
            if (ss.size() <= maxLetters) {
                ans = max(ans, ++cnt[t]);
            }
        }
        return ans;
    }
};
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func maxFreq(s string, maxLetters int, minSize int, maxSize int) (ans int) {
    cnt := map[string]int{}
    for i := 0; i < len(s)-minSize+1; i++ {
        t := s[i : i+minSize]
        ss := map[rune]bool{}
        for _, c := range t {
            ss[c] = true
        }
        if len(ss) <= maxLetters {
            cnt[t]++
            if ans < cnt[t] {
                ans = cnt[t]
            }
        }
    }
    return
}
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function maxFreq(s: string, maxLetters: number, minSize: number, maxSize: number): number {
    const cnt = new Map<string, number>();
    let ans = 0;
    for (let i = 0; i < s.length - minSize + 1; ++i) {
        const t = s.slice(i, i + minSize);
        const ss = new Set(t.split(''));
        if (ss.size <= maxLetters) {
            cnt.set(t, (cnt.get(t) || 0) + 1);
            ans = Math.max(ans, cnt.get(t)!);
        }
    }
    return ans;
}

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