LeetCode //C - 435. Non-overlapping Intervals

435. Non-overlapping Intervals

Given an array of intervals intervals where intervalsi = s t a r t i , e n d i start_i, end_i starti,endi, return the minimum number of intervals you need to remove to make the rest of the intervals non-overlapping.

Example 1:

Input: intervals = \[1,2,2,3,3,4,1,3]
Output: 1
Explanation: 1,3 can be removed and the rest of the intervals are non-overlapping.

Example 2:

Input: intervals = \[1,2,1,2,1,2]
Output: 2
Explanation: You need to remove two 1,2 to make the rest of the intervals non-overlapping.

Example 3:

Input: intervals = \[1,2,2,3]
Output: 0
Explanation: You don't need to remove any of the intervals since they're already non-overlapping.

Constraints:

• 1 < = i n t e r v a l s . l e n g t h < = 1 0 5 1 <= intervals.length <= 10^5 1<=intervals.length<=105
• intervalsi.length == 2
• − 5 ∗ 1 0 4 < = s t a r t i < e n d i < = 5 ∗ 1 0 4 -5 * 10^4 <= starti < endi <= 5 * 10^4 −5∗104<=starti<endi<=5∗104

From: LeetCode

Link: 435. Non-overlapping Intervals

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Solution:

Ideas：

1. Sorting: The intervals are first sorted based on their end times using qsort and a custom comparator. Sorting by end time helps in selecting the intervals that finish the earliest, reducing the chance of future overlaps.

2. Greedy Selection: We then iterate through the sorted intervals. The variable lastEnd keeps track of the end time of the last interval that was added to our timeline. For each interval, if its start time is less than lastEnd, it means the interval overlaps with the previous one, and we need to remove it. Otherwise, we update lastEnd to the current interval's end time.

3. Counting Removals: The variable removeCount keeps track of the number of intervals that need to be removed. This is incremented each time we find an overlapping interval.

Caode:

// Comparator function for qsort
int compare(const void* a, const void* b) {
    int* intervalA = *(int**)a;
    int* intervalB = *(int**)b;
    return intervalA[1] - intervalB[1];
}

int eraseOverlapIntervals(int** intervals, int intervalsSize, int* intervalsColSize) {
    // Sort the intervals based on their end times
    qsort(intervals, intervalsSize, sizeof(int*), compare);
    
    int removeCount = 0; // Count of intervals to remove
    int lastEnd = intervals[0][1]; // End time of the last interval considered in the timeline

    // Iterate through the intervals starting from the second one
    for (int i = 1; i < intervalsSize; i++) {
        // If the current interval starts before the last one ends, it overlaps
        if (intervals[i][0] < lastEnd) {
            removeCount++; // Need to remove an interval
        } else {
            // No overlap, update the end time to the current interval's end
            lastEnd = intervals[i][1];
        }
    }
    
    return removeCount; // Number of intervals that need to be removed
}