LeetCode 3323: Minimize Connected Groups by Inserting Interval Solution
Master LeetCode problem 3323 (Minimize Connected Groups by Inserting Interval), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.
3323. Minimize Connected Groups by Inserting Interval
Problem Explanation
Explanation
Given a list of intervals representing connected groups, the task is to minimize the number of connected groups by inserting a new interval. The new interval can be inserted between any two existing intervals or at the beginning or end of the list. To minimize the number of connected groups, we need to find the best position to insert the new interval.
To solve this problem, we can follow these steps:
- Sort the intervals based on their start points.
- Iterate over the sorted intervals and calculate the gaps between each pair of consecutive intervals.
- Find the maximum gap and insert the new interval there.
- Return the minimum number of connected groups after the insertion.
Time complexity: O(n log n) where n is the number of intervals (due to sorting). Space complexity: O(n) for storing the sorted intervals.
Solution Code
class Solution {
public int minimizeConnectedGroupsByInsertingInterval(int[][] intervals) {
Arrays.sort(intervals, (a, b) -> a[0] - b[0]);
int maxGap = 0;
for (int i = 1; i < intervals.length; i++) {
maxGap = Math.max(maxGap, intervals[i][0] - intervals[i - 1][1]);
}
return intervals.length - 1 + (maxGap > 1 ? 1 : 0);
}
}Try It Yourself
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