[LeetCode] 1208. Get Equal Substrings Within Budget

You are given two strings s and t of the same length. You want to change s to t. Changing the i-th character of s to i-th character of t costs |s[i] - t[i]| that is, the absolute difference between the ASCII values of the characters.

You are also given an integer maxCost.

Return the maximum length of a substring of s that can be changed to be the same as the corresponding substring of twith a cost less than or equal to maxCost.

If there is no substring from s that can be changed to its corresponding substring from t, return 0.

Example 1:

Input: s = "abcd", t = "bcdf", maxCost = 3
Output: 3
Explanation: "abc" of s can change to "bcd". That costs 3, so the maximum length is 3.

Example 2:

Input: s = "abcd", t = "cdef", maxCost = 3
Output: 1
Explanation: Each character in s costs 2 to change to charactor in t, so the maximum length is 1.

Example 3:

Input: s = "abcd", t = "acde", maxCost = 0
Output: 1
Explanation: You can't make any change, so the maximum length is 1.

Constraints:

  • 1 <= s.length, t.length <= 10^5
  • 0 <= maxCost <= 10^6
  • s and t only contain lower case English letters.

尽可能使字符串相等。

给你两个长度相同的字符串,s 和 t。

将 s 中的第 i 个字符变到 t 中的第 i 个字符需要 |s[i] - t[i]| 的开销(开销可能为 0),也就是两个字符的 ASCII 码值的差的绝对值。

用于变更字符串的最大预算是 maxCost。在转化字符串时,总开销应当小于等于该预算,这也意味着字符串的转化可能是不完全的。

如果你可以将 s 的子字符串转化为它在 t 中对应的子字符串,则返回可以转化的最大长度。

如果 s 中没有子字符串可以转化成 t 中对应的子字符串,则返回 0。

来源:力扣(LeetCode)
链接:https://leetcode-cn.com/problems/get-equal-substrings-within-budget
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思路是滑动窗口,而且可以用模板。模板参见76题。可以消耗的开销一共是maxCost,对于每个相同位置上的字符的ASCII 码的差值,可以通过先移动 end 指针不断消耗 maxCost,直到maxCost == 0。当maxCost == 0的时候,可以试图移动 start 指针,过程中记录 res 的最大值即可。

时间O(n)

空间O(1)

Java实现

 1 class Solution {
 2     public int equalSubstring(String s, String t, int maxCost) {
 3         int len = s.length();
 4         int res = 0;
 5         int start = 0;
 6         int end = 0;
 7         while (end < len) {
 8             maxCost -= Math.abs(s.charAt(end) - t.charAt(end));
 9             end++;
10             while (maxCost < 0) {
11                 maxCost += Math.abs(s.charAt(start) - t.charAt(start));
12                 start++;
13             }
14             res = Math.max(res, end - start);
15         }
16         return res;
17     }
18 }

 

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