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Leetcode Reverse Pairs problem solution

YASH PAL, 31 July 2024

In this Leetcode Reverse Pairs problem solution Given an integer array nums, return the number of reverse pairs in the array.

A reverse pair is a pair (i, j) where 0 <= i < j < nums.length and nums[i] > 2 * nums[j].

Leetcode Reverse Pairs problem solution

Problem solution in Python.

import bisect 
class Solution:
    def reversePairs(self, nums: List[int]) -> int:
        count,l=0,[]    
        for i in nums :
            a=bisect.bisect_right  (l,i*2)#finding the index 
            count+=len (l)-a#finding the number of greater than equal to i*2
            idx=bisect.bisect(l,i)#finding the index where the i need to be inserted
            l[idx:idx]=[i]#trick for inserting at idx much faster than insert()
        return count

Problem solution in Java.

class Solution {
    public int reversePairs(int[] nums) {
        return mergeSort(nums, 0, nums.length - 1);
    }
    private int mergeSort(int[] nums, int l, int r) {
        if (l >= r) return 0;
        int count = 0;
        int mid = l + (r - l) / 2;
        count += mergeSort(nums, l, mid);
        count += mergeSort(nums, mid + 1, r);
        count += merge(nums, l, mid, r);
        return count;
    }
    private int merge(int[] nums, int l, int mid, int r) {
        int count = 0, l1 = l, l2 = mid + 1, idx = 0;
        while (l1 <= mid && l2 <= r) {
            if ((long) nums[l1] > (long) 2 * nums[l2]) {
                count += mid - l1 + 1;
                l2++;
            } else l1++;
        }
        l1 = l;
        l2 = mid + 1;
        int[] copy = new int[r - l + 1];
        while (l1 <= mid && l2 <= r) {
            if (nums[l1] > nums[l2]) copy[idx++] = nums[l2++];
            else copy[idx++] = nums[l1++];
        }
        while (l1 <= mid) copy[idx++] = nums[l1++];
        while (l2 <= r) copy[idx++] = nums[l2++];
        System.arraycopy(copy, 0, nums, l, r - l + 1);
        return count;
    }
}

Problem solution in C++.

class Solution {
public:
    int reversePairs(vector<int>& nums) {
        multiset<long long> tb;
        int ret = 0;
        
        int n = nums.size();
        
        for(int i = n - 1; i >= 0; --i) {
            long long cur = nums[i];
            
            auto iter = lower_bound(tb.begin(), tb.end(), cur);
            
            ret +=  distance(tb.begin(), iter);
            tb.insert(2 * cur);
        }
        
        return(ret);
    }
};

coding problems

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