Algorithm


Problem Name: 436. Find Right Interval

You are given an array of intervals, where intervals[i] = [starti, endi] and each starti is unique.

The right interval for an interval i is an interval j such that startj >= endi and startj is minimized. Note that i may equal j.

Return an array of right interval indices for each interval i. If no right interval exists for interval i, then put -1 at index i.

 

Example 1:

Input: intervals = [[1,2]]
Output: [-1]
Explanation: There is only one interval in the collection, so it outputs -1.

Example 2:

Input: intervals = [[3,4],[2,3],[1,2]]
Output: [-1,0,1]
Explanation: There is no right interval for [3,4].
The right interval for [2,3] is [3,4] since start0 = 3 is the smallest start that is >= end1 = 3.
The right interval for [1,2] is [2,3] since start1 = 2 is the smallest start that is >= end2 = 2.

Example 3:

Input: intervals = [[1,4],[2,3],[3,4]]
Output: [-1,2,-1]
Explanation: There is no right interval for [1,4] and [3,4].
The right interval for [2,3] is [3,4] since start2 = 3 is the smallest start that is >= end1 = 3.

 

Constraints:

  • 1 <= intervals.length <= 2 * 104
  • intervals[i].length == 2
  • -106 <= starti <= endi <= 106
  • The start point of each interval is unique.

Code Examples

#1 Code Example with C++ Programming

Code - C++ Programming


class Solution {
public:
    vector<int> findRightInterval(vector < Interval>& intervals) {
        vector<int>res;
        map < int, int>m;
        for(int i = 0; i  <  intervals.size(); i++) m[intervals[i].start] = i;
        for(auto i: intervals){
            auto p = m.lower_bound(i.end);
            res.push_back(p == m.end() ? -1 : (*p).second);
        }
        return res;
    }
};
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Input

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intervals = [[1,2]]

Output

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[-1]

#2 Code Example with Java Programming

Code - Java Programming


class Solution {
  public int[] findRightInterval(int[][] intervals) {
    TreeMap();
    for (int i = 0; i  <  intervals.length; i++) {
      map.computeIfAbsent(intervals[i][0], k -> new PriorityQueue<>(
          Comparator.comparingInt(o -> intervals[o][0]))
      ).add(i);
    }
    int[] ans = new int[intervals.length];
    Arrays.fill(ans, -1);
    for (int i = 0; i  <  intervals.length; i++) {
      Integer upper = map.ceilingKey(intervals[i][1]);
      if (upper != null) {
        ans[i] = map.get(upper).peek();
      }
    }
    return ans;
  }
}
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Input

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intervals = [[1,2]]

Output

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[-1]

#3 Code Example with Javascript Programming

Code - Javascript Programming


const findRightInterval = function(intervals) {
  const res = []
  const arrary = intervals
    .map((interval, idx) => ({ interval, idx }))
    .sort((obj1, obj2) => obj1.interval[0] - obj2.interval[0])
  for (let interval of intervals) {
    const val = interval[interval.length - 1]
    let left = 0,
      right = intervals.length
    while (left < right) {
      const mid = Math.floor((left + right) / 2)
      if (arrary[mid].interval[0] >= val) {
        right = mid
      } else {
        left = mid + 1
      }
    }
    if (left >= intervals.length) {
      res.push(-1)
    } else {
      res.push(arrary[left].idx)
    }
  }
  return res
}
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Input

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intervals = [[3,4],[2,3],[1,2]]

Output

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[-1,0,1]

#4 Code Example with Python Programming

Code - Python Programming


class Solution:
    def findRightInterval(self, intervals):
        def binarySearch(l, r):
            x, found = intervals[l - 1].end, None
            while l <= r:
                mid = (l + r) // 2
                if intervals[mid].start >= x:
                    r = mid - 1
                    found = mid
                else:
                    l = mid + 1
            return ind[intervals[found]] if found != None else -1
        root = intervals[:]
        ind = {intr:i for i, intr in enumerate(root)}
        intervals.sort(key = lambda x: x.start)
        for i in range(len(intervals)):
            root[ind[intervals[i]]] = binarySearch(i + 1, len(intervals) - 1)
        return root
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Input

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intervals = [[3,4],[2,3],[1,2]]

Output

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[-1,0,1]

#5 Code Example with C# Programming

Code - C# Programming


using System;
using System.Collections.Generic;
using System.Linq;

namespace LeetCode
{
    public class _0436_FindRightInterval
    {
        public int[] FindRightInterval(int[][] intervals)
        {
            var startIndex = new SortedDictionary < int, int>();
            for (int i = 0; i  <  intervals.Length; i++)
                startIndex[intervals[i][0]] = i;

            var results = new int[intervals.Length];
            var starts = startIndex.Keys.ToArray();
            for (int i = 0; i  <  intervals.Length; i++)
            {
                var index = Array.BinarySearch(starts, intervals[i][1]);
                if (index  <  0)
                    index = ~index;
                results[i] = index == intervals.Length ? -1 : startIndex[starts[index]];
            }

            return results;
        }
    }
}
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Input

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intervals = [[1,4],[2,3],[3,4]]

Output

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[-1,2,-1]
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