每日一题-20240209

题目描述

128. 最长连续序列

给定一个未排序的整数数组 nums ,找出数字连续的最长序列(不要求序列元素在原数组中连续)的长度。

请你设计并实现时间复杂度为 O(n) 的算法解决此问题。

示例 1:

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输入:nums = [100,4,200,1,3,2]
输出:4
解释:最长数字连续序列是 [1, 2, 3, 4]。它的长度为 4。

示例 2:

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输入:nums = [0,3,7,2,5,8,4,6,0,1]
输出:9

提示:

  • 0 <= nums.length <= 105
  • -109 <= nums[i] <= 109

解题思路

暴力破解法

代码实现

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public class Solution128Case1 {
public static int longestConsecutive(int[] nums) {
if (null == nums || 0 == nums.length) {
return 0;
}
Arrays.sort(nums);
HashMap<Integer, Integer> map = new HashMap<>();
for (int num : nums) {
if (map.containsKey(num - 1)) {
map.put(num, map.get(num - 1) + 1);
} else {
map.put(num, 1);
}
}
List<Integer> list = new ArrayList<>(map.values());
Collections.sort(list);
return list.get(list.size() - 1);
}

public static void main(String[] args) {
// int[] nums = {100, 4, 200, 1, 3, 2};
int[] nums = {0, 3, 7, 2, 5, 8, 4, 6, 0, 1};
System.err.println(longestConsecutive(nums));
}
}
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public class Solution128Case2 {
public static int longestConsecutive(int[] nums) {
Set<Integer> set = new HashSet<>(nums.length);
for (int num : nums) {
set.add(num);
}
int ans = 0;
for (int num : set) {
int curNum = num;
if (!set.contains(curNum - 1)) {
while (set.contains(curNum + 1)) {
curNum++;
}
}
ans = Math.max(ans, curNum - num);
}
return ans;
}

public static void main(String[] args) {
int[] nums = {100, 4, 200, 1, 3, 2};
// int[] nums = {0, 3, 7, 2, 5, 8, 4, 6, 0, 1};
System.err.println(longestConsecutive(nums));
}
}