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Algorithm

76. Minimum Window Substring

Description

Given two strings s and t of lengths m and n respectively, return the minimum window substring of s such that every character in t (including duplicates) is included in the window. If there is no such substring, return the empty string "".

The testcases will be generated such that the answer is unique.

A substring is a contiguous sequence of characters within the string.

Example 1:

Input: s = "ADOBECODEBANC", t = "ABC"
Output: "BANC"
Explanation: The minimum window substring "BANC" includes 'A', 'B', and 'C' from string t.

Example 2:

Input: s = "a", t = "a"
Output: "a"
Explanation: The entire string s is the minimum window.

Example 3:

Input: s = "a", t = "aa"
Output: ""
Explanation: Both 'a's from t must be included in the window.
Since the largest window of s only has one 'a', return empty string.

Constraints:

  • m == s.length
  • n == t.length
  • 1 <= m, n <= 105
  • s and t consist of uppercase and lowercase English letters.

Follow up: Could you find an algorithm that runs in O(m + n) time?

Solution

class Solution {
    public String minWindow(String s, String t) {
        // 特殊情况直接返回
        if(s == null || t == null || s.length() == 0 || t.length() == 0 || s.length() < t.length()) {
            return "";
        }

        // 构造模型
        int minLeft = 0;
        int minRight = 0;
        int min = s.length();
        boolean flag = false;

        Map<Character, Integer> map = new HashMap<>();
        int count = t.length(); // 记录t中需要匹配的字符数
        for(char c : t.toCharArray()){
           map.put(c, map.getOrDefault(c, 0) + 1);   
        }

        // 滑动窗口解决问题
        int i = 0;
        int j = 0;
        while(j < s.length()){
            char c = s.charAt(j);
            if(map.containsKey(c)){
                map.put(c, map.get(c) - 1);
                // 如果仍然有未匹配的字符,count-1
                if(map.get(c) >= 0) count--;
            }

            // 如果发现了一个子串
            while(count == 0 && i <= j){
                // 更新全局最小值
                flag = true;
                int curLen = j + 1 - i;
                if(curLen <= min){
                    minLeft = i;
                    minRight = j;
                    min = curLen;
                }

                // 收缩左侧滑动窗口
                char leftC = s.charAt(i);
                if(map.containsKey(leftC)){
                    map.put(leftC, map.get(leftC) + 1);
                    if(map.get(leftC) >= 1) count++;
                }
                i++;
            }
            j++;
        }

        return flag == true ? s.substring(minLeft, minRight + 1): "";
    }
}
public String minWindow( String s, String t ) {
       String res = "";
       if ( t.length() > s.length() ) {
           return res;
       }

       HashMap<Character, Integer> need = new HashMap<>();
       HashMap<Character, Integer> window = new HashMap<>();

       for ( int i = 0; i < t.length(); i++ ) {
           char ch = t.charAt( i );
           need.put( ch, need.getOrDefault( ch, 0 ) + 1 );
       }
       int l = 0;
       int r = 0;
       int valid = 0;
       int len = Integer.MAX_VALUE;
       int start = 0;
       while ( r < s.length() ) {
           char ch = s.charAt( r );
           r++;
           if ( need.containsKey( ch ) ) {
               window.put( ch, window.getOrDefault( ch, 0 ) + 1 );
               if ( window.get( ch ).equals( need.get( ch ) ) ) {
                   valid++;
               }
           }
           // 判断左侧窗口是否要收缩
           while ( valid == need.size() ) {
               // 在这里更新最小覆盖子串
               if ( r - l < len ) {
                   start = l;
                   len = r - l;
               }
               // d 是将移出窗口的字符
               char d = s.charAt( l );
               // 左移窗口
               l++;
               // 进行窗口内数据的一系列更新
               if ( need.containsKey( d ) ) {
                   if ( window.get( d ).equals( need.get( d ) ) ) {
                       valid--;
                   }
                   window.put( d, window.get( d ) - 1 );
               }
           }
       }

       return len == Integer.MAX_VALUE ? "" : s.substring( start, start+len );
   }

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