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 :



title-img


                            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
                    


View More Similar Problems

Insert a node at a specific position in a linked list

Given the pointer to the head node of a linked list and an integer to insert at a certain position, create a new node with the given integer as its data attribute, insert this node at the desired position and return the head node. A position of 0 indicates head, a position of 1 indicates one node away from the head and so on. The head pointer given may be null meaning that the initial list is e

View Solution →

Delete a Node

Delete the node at a given position in a linked list and return a reference to the head node. The head is at position 0. The list may be empty after you delete the node. In that case, return a null value. Example: list=0->1->2->3 position=2 After removing the node at position 2, list'= 0->1->-3. Function Description: Complete the deleteNode function in the editor below. deleteNo

View Solution →

Print in Reverse

Given a pointer to the head of a singly-linked list, print each data value from the reversed list. If the given list is empty, do not print anything. Example head* refers to the linked list with data values 1->2->3->Null Print the following: 3 2 1 Function Description: Complete the reversePrint function in the editor below. reversePrint has the following parameters: Sing

View Solution →

Reverse a linked list

Given the pointer to the head node of a linked list, change the next pointers of the nodes so that their order is reversed. The head pointer given may be null meaning that the initial list is empty. Example: head references the list 1->2->3->Null. Manipulate the next pointers of each node in place and return head, now referencing the head of the list 3->2->1->Null. Function Descriptio

View Solution →

Compare two linked lists

You’re given the pointer to the head nodes of two linked lists. Compare the data in the nodes of the linked lists to check if they are equal. If all data attributes are equal and the lists are the same length, return 1. Otherwise, return 0. Example: list1=1->2->3->Null list2=1->2->3->4->Null The two lists have equal data attributes for the first 3 nodes. list2 is longer, though, so the lis

View Solution →

Merge two sorted linked lists

This challenge is part of a tutorial track by MyCodeSchool Given pointers to the heads of two sorted linked lists, merge them into a single, sorted linked list. Either head pointer may be null meaning that the corresponding list is empty. Example headA refers to 1 -> 3 -> 7 -> NULL headB refers to 1 -> 2 -> NULL The new list is 1 -> 1 -> 2 -> 3 -> 7 -> NULL. Function Description C

View Solution →