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困难 |
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Given a string s
, your task is to find the length of the longest self-contained substring of s
.
A substring t
of a string s
is called self-contained if t != s
and for every character in t
, it doesn't exist in the rest of s
.
Return the length of the longest self-contained substring of s
if it exists, otherwise, return -1.
Example 1:
Input: s = "abba"
Output: 2
Explanation:
Let's check the substring "bb"
. You can see that no other "b"
is outside of this substring. Hence the answer is 2.
Example 2:
Input: s = "abab"
Output: -1
Explanation:
Every substring we choose does not satisfy the described property (there is some character which is inside and outside of that substring). So the answer would be -1.
Example 3:
Input: s = "abacd"
Output: 4
Explanation:
Let's check the substring "abac"
. There is only one character outside of this substring and that is "d"
. There is no "d"
inside the chosen substring, so it satisfies the condition and the answer is 4.
Constraints:
2 <= s.length <= 5 * 104
s
consists only of lowercase English letters.
我们注意到,满足条件的子串的开头一定是某个字符第一次出现的位置。
因此,我们可以用两个数组或哈希表 first
和 last
分别记录每个字符第一次和最后一次出现的位置。
接下来,我们枚举每个字符 c
,假设 c
第一次出现的位置是
最后返回答案即可。
时间复杂度
class Solution:
def maxSubstringLength(self, s: str) -> int:
first, last = {}, {}
for i, c in enumerate(s):
if c not in first:
first[c] = i
last[c] = i
ans, n = -1, len(s)
for c, i in first.items():
mx = last[c]
for j in range(i, n):
a, b = first[s[j]], last[s[j]]
if a < i:
break
mx = max(mx, b)
if mx == j and j - i + 1 < n:
ans = max(ans, j - i + 1)
return ans
class Solution {
public int maxSubstringLength(String s) {
int[] first = new int[26];
int[] last = new int[26];
Arrays.fill(first, -1);
int n = s.length();
for (int i = 0; i < n; ++i) {
int j = s.charAt(i) - 'a';
if (first[j] == -1) {
first[j] = i;
}
last[j] = i;
}
int ans = -1;
for (int k = 0; k < 26; ++k) {
int i = first[k];
if (i == -1) {
continue;
}
int mx = last[k];
for (int j = i; j < n; ++j) {
int a = first[s.charAt(j) - 'a'];
int b = last[s.charAt(j) - 'a'];
if (a < i) {
break;
}
mx = Math.max(mx, b);
if (mx == j && j - i + 1 < n) {
ans = Math.max(ans, j - i + 1);
}
}
}
return ans;
}
}
class Solution {
public:
int maxSubstringLength(string s) {
vector<int> first(26, -1);
vector<int> last(26);
int n = s.length();
for (int i = 0; i < n; ++i) {
int j = s[i] - 'a';
if (first[j] == -1) {
first[j] = i;
}
last[j] = i;
}
int ans = -1;
for (int k = 0; k < 26; ++k) {
int i = first[k];
if (i == -1) {
continue;
}
int mx = last[k];
for (int j = i; j < n; ++j) {
int a = first[s[j] - 'a'];
int b = last[s[j] - 'a'];
if (a < i) {
break;
}
mx = max(mx, b);
if (mx == j && j - i + 1 < n) {
ans = max(ans, j - i + 1);
}
}
}
return ans;
}
};
func maxSubstringLength(s string) int {
first := [26]int{}
last := [26]int{}
for i := range first {
first[i] = -1
}
n := len(s)
for i, c := range s {
j := int(c - 'a')
if first[j] == -1 {
first[j] = i
}
last[j] = i
}
ans := -1
for k := 0; k < 26; k++ {
i := first[k]
if i == -1 {
continue
}
mx := last[k]
for j := i; j < n; j++ {
a, b := first[s[j]-'a'], last[s[j]-'a']
if a < i {
break
}
mx = max(mx, b)
if mx == j && j-i+1 < n {
ans = max(ans, j-i+1)
}
}
}
return ans
}
function maxSubstringLength(s: string): number {
const first: number[] = Array(26).fill(-1);
const last: number[] = Array(26).fill(0);
const n = s.length;
for (let i = 0; i < n; ++i) {
const j = s.charCodeAt(i) - 97;
if (first[j] === -1) {
first[j] = i;
}
last[j] = i;
}
let ans = -1;
for (let k = 0; k < 26; ++k) {
const i = first[k];
if (i === -1) {
continue;
}
let mx = last[k];
for (let j = i; j < n; ++j) {
const a = first[s.charCodeAt(j) - 97];
if (a < i) {
break;
}
const b = last[s.charCodeAt(j) - 97];
mx = Math.max(mx, b);
if (mx === j && j - i + 1 < n) {
ans = Math.max(ans, j - i + 1);
}
}
}
return ans;
}