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题目描述

给定两个字符串 s 和 t 。返回 s 中包含 t 的所有字符的最短子字符串。如果 s 中不存在符合条件的子字符串,则返回空字符串 ""

如果 s 中存在多个符合条件的子字符串,返回任意一个。

 

注意: 对于 t 中重复字符,我们寻找的子字符串中该字符数量必须不少于 t 中该字符数量。

 

示例 1:

输入:s = "ADOBECODEBANC", t = "ABC"
输出:"BANC"
解释:最短子字符串 "BANC" 包含了字符串 t 的所有字符 'A'、'B'、'C'

示例 2:

输入:s = "a", t = "a"
输出:"a"

示例 3:

输入:s = "a", t = "aa"
输出:""
解释:t 中两个字符 'a' 均应包含在 s 的子串中,因此没有符合条件的子字符串,返回空字符串。

 

提示:

  • 1 <= s.length, t.length <= 105
  • st 由英文字母组成

 

进阶:你能设计一个在 o(n) 时间内解决此问题的算法吗?

 

注意:本题与主站 76 题相似(本题答案不唯一):https://leetcode-cn.com/problems/minimum-window-substring/

解法

滑动窗口,当窗口包含全部需要的的字符后,进行收缩,以求得最小长度

进阶解法:利用 count 变量避免重复对 needwindow 进行扫描

Python3

class Solution:
    def minWindow(self, s: str, t: str) -> str:
        m, n = len(s), len(t)
        if n > m:
            return ""
        need, window = defaultdict(int), defaultdict(int)
        for c in t:
            need[c] += 1
        start, minLen = 0, float('inf')
        left, right = 0, 0
        while right < m:
            window[s[right]] += 1
            right += 1
            while self.check(need, window):
                if right - left < minLen:
                    minLen = right - left
                    start = left
                window[s[left]] -= 1
                left += 1
        return "" if minLen == float('inf') else s[start:start + minLen]

    def check(self, need, window):
        for k, v in need.items():
            if window[k] < v:
                return False
        return True

进阶解法

class Solution:
    def minWindow(self, s: str, t: str) -> str:
        m, n = len(s), len(t)
        if n > m:
            return ""
        need, window = defaultdict(int), defaultdict(int)
        needCount, windowCount = 0, 0
        for c in t:
            if need[c] == 0:
                needCount += 1
            need[c] += 1
        start, minLen = 0, float('inf')
        left, right = 0, 0
        while right < m:
            ch = s[right]
            right += 1
            if ch in need:
                window[ch] += 1
                if window[ch] == need[ch]:
                    windowCount += 1
            while windowCount == needCount:
                if right - left < minLen:
                    minLen = right - left
                    start = left
                ch = s[left]
                left += 1
                if ch in need:
                    if window[ch] == need[ch]:
                        windowCount -= 1
                    window[ch] -= 1
        return "" if minLen == float('inf') else s[start:start + minLen]

Java

class Solution {
    public String minWindow(String s, String t) {
        int m = s.length(), n = t.length();
        if (n > m) {
            return "";
        }
        Map<Character, Integer> need = new HashMap<>();
        Map<Character, Integer> window = new HashMap<>();
        for (char ch : t.toCharArray()) {
            need.merge(ch, 1, Integer::sum);
        }
        int start = 0, minLen = Integer.MAX_VALUE;
        int left = 0, right = 0;
        while (right < m) {
            window.merge(s.charAt(right++), 1, Integer::sum);
            while (check(need, window)) {
                if (right - left < minLen) {
                    minLen = right - left;
                    start = left;
                }
                window.merge(s.charAt(left++), -1, Integer::sum);
            }
        }
        return minLen == Integer.MAX_VALUE ? "" : s.substring(start, start + minLen);
    }

    private boolean check(Map<Character, Integer> need, Map<Character, Integer> window) {
        for (Map.Entry<Character, Integer> entry : need.entrySet()) {
            if (window.getOrDefault(entry.getKey(), 0) < entry.getValue()) {
                return false;
            }
        }
        return true;
    }
}

进阶解法

class Solution {
    public String minWindow(String s, String t) {
        int m = s.length(), n = t.length();
        if (n > m) {
            return "";
        }
        Map<Character, Integer> need = new HashMap<>();
        Map<Character, Integer> window = new HashMap<>();
        int needCount = 0, windowCount = 0;
        for (char ch : t.toCharArray()) {
            if (!need.containsKey(ch)) {
                needCount++;
            }
            need.merge(ch, 1, Integer::sum);
        }
        int start = 0, minLen = Integer.MAX_VALUE;
        int left = 0, right = 0;
        while (right < m) {
            char ch = s.charAt(right++);
            if (need.containsKey(ch)) {
                int val = window.getOrDefault(ch, 0) + 1;
                if (val == need.get(ch)) {
                    windowCount++;
                }
                window.put(ch, val);
            }
            while (windowCount == needCount) {
                if (right - left < minLen) {
                    minLen = right - left;
                    start = left;
                }
                ch = s.charAt(left++);
                if (need.containsKey(ch)) {
                    int val = window.get(ch);
                    if (val == need.get(ch)) {
                        windowCount--;
                    }
                    window.put(ch, val - 1);
                }
            }
        }
        return minLen == Integer.MAX_VALUE ? "" : s.substring(start, start + minLen);
    }
}

Go

func minWindow(s string, t string) string {
	m, n := len(s), len(t)
	if n > m {
		return ""
	}
	need, window := make(map[byte]int), make(map[byte]int)
	for _, r := range t {
		need[byte(r)]++
	}
	start, minLen := 0, math.MaxInt32
	left, right := 0, 0
	for right < m {
		window[s[right]]++
		right++
		for check(need, window) {
			if right-left < minLen {
				minLen = right - left
				start = left
			}
			window[s[left]]--
			left++
		}
	}
	if minLen == math.MaxInt32 {
		return ""
	}
	return s[start : start+minLen]
}

func check(need, window map[byte]int) bool {
	for k, v := range need {
		if window[k] < v {
			return false
		}
	}
	return true
}

进阶解法

func minWindow(s string, t string) string {
	m, n := len(s), len(t)
	if n > m {
		return ""
	}
	need, window := make(map[byte]int), make(map[byte]int)
	needCount, windowCount := 0, 0
	for _, r := range t {
		if need[byte(r)] == 0 {
			needCount++
		}
		need[byte(r)]++
	}
	start, minLen := 0, math.MaxInt32
	left, right := 0, 0
	for right < m {
		ch := s[right]
		right++
		if v, ok := need[ch]; ok {
			window[ch]++
			if window[ch] == v {
				windowCount++
			}
		}
		for windowCount == needCount {
			if right-left < minLen {
				minLen = right - left
				start = left
			}
			ch = s[left]
			left++
			if v, ok := need[ch]; ok {
				if window[ch] == v {
					windowCount--
				}
				window[ch]--
			}
		}
	}
	if minLen == math.MaxInt32 {
		return ""
	}
	return s[start : start+minLen]
}

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