Merge Intervals
Problem Statement :
Given an array of intervals where intervals[i] = [starti, endi], merge all overlapping intervals, and return an array of the non-overlapping intervals that cover all the intervals in the input. Example 1: Input: intervals = [[1,3],[2,6],[8,10],[15,18]] Output: [[1,6],[8,10],[15,18]] Explanation: Since intervals [1,3] and [2,6] overlap, merge them into [1,6]. Example 2: Input: intervals = [[1,4],[4,5]] Output: [[1,5]] Explanation: Intervals [1,4] and [4,5] are considered overlapping. Constraints: 1 <= intervals.length <= 104 intervals[i].length == 2 0 <= starti <= endi <= 104
Solution :
Solution in C :
int cmp(const void **a, const void **b)
{
return (*(int *)a[0] - *(int *)b[0]);
}
#define MAX 10000
int** merge(int** intervals, int intervalsSize, int* intervalsColSize, int* returnSize, int** returnColumnSizes)
{
/* Sort the given intervals based on the first value of each interval */
qsort(intervals, intervalsSize, sizeof(intervals[0]), cmp);
/* Keep a 'prev' interval to keep track of the updating intervals
* as we iterate over the given intervals
*/
int prev[2] = {intervals[0][0], intervals[0][1]};
/* The given problem has atleast one solution
* so we create an array and asssign the first
* interval to the results and update as required
* over iteration
*/
int **ret = (int **)calloc(MAX, sizeof(int *));
*returnColumnSizes = (int *)calloc(MAX, sizeof(int));
int len = 0;
int *arr = (int *)calloc(2, sizeof(int));
arr[0] = prev[0];
arr[1] = prev[1];
ret[len] = arr;
(*returnColumnSizes)[len] = 2;
len++;
for (int i = 1; i < intervalsSize; i++) {
int *curr = intervals[i];
/* Add a new interval to the result only if the interval is non-overlapping
* to the previous one.
*/
if (prev[1] < curr[0] && prev[1] < curr[1]) {
int *new = (int *)calloc(2, sizeof(int));
new[0] = curr[0];
new[1] = curr[1];
ret[len] = new;
(*returnColumnSizes)[len] = 2;
len++;
prev[0] = curr[0];
prev[1] = curr[1];
}
/* Update the result interval's end value */
else if (prev[1] >= curr[0] && prev[1] < curr[1]) {
prev[1] = curr[1];
ret[len - 1][1] = curr[1];
}
}
*returnSize = len;
return ret;
}
Solution in C++ :
class Solution {
public:
vector<vector<int>> merge(vector<vector<int>>& intervals) {
if(intervals.size()==1)
return intervals;
vector<pair<int,int>> p;
for(int i=0;i<intervals.size();i++)
{
p.push_back({intervals[i][0],intervals[i][1]});
}
sort(p.begin(),p.end());
vector<vector<int>> ans;
int f=p[0].first,s=p[0].second;
for(int i=0;i<p.size()-1;i++)
{
vector<int> a(2);
if(s>=p[i+1].first)
{
s=max(s,p[i+1].second);
}
else
{
a[0]=f;
a[1]=s;
f=p[i+1].first;
s=p[i+1].second;
ans.push_back(a);
}
}
int n=intervals.size();
ans.push_back({f,s});
return ans;
}
};
Solution in Java :
class Solution {
public int[][] merge(int[][] intervals) {
int min = Integer.MAX_VALUE;
int max = Integer.MIN_VALUE;
for (int i = 0; i < intervals.length; i++) {
min = Math.min(min, intervals[i][0]);
max = Math.max(max, intervals[i][0]);
}
int[] range = new int[max - min + 1];
for (int i = 0; i < intervals.length; i++) {
range[intervals[i][0] - min] = Math.max(intervals[i][1] - min, range[intervals[i][0] - min]);
}
int start = 0, end = 0;
LinkedList<int[]> result = new LinkedList<>();
for (int i = 0; i < range.length; i++) {
if (range[i] == 0) {
continue;
}
if (i <= end) {
end = Math.max(range[i], end);
} else {
result.add(new int[] {start + min, end + min});
start = i;
end = range[i];
}
}
result.add(new int[] {start + min, end + min});
return result.toArray(new int[result.size()][]);
}
}
Solution in Python :
class Solution:
def merge(self, intervals: List[List[int]]) -> List[List[int]]:
intervals = sorted(intervals, key=lambda x: x [0])
ans = []
for interval in intervals:
if not ans or ans[-1][1] < interval[0]:
ans.append(interval)
else:
ans[-1][1] = max(ans[-1][1], interval[1])
return ans
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