Count pairs in a sorted array whose sum is less than x - GeeksforGeeks


Count pairs in a sorted array whose sum is less than x - GeeksforGeeks
Given a sorted integer array and number x, the task is to count pairs in array whose sum is less than x.
int countPairsWithDiffK(int arr[], int n, int k)
{
    int count = 0;  // Initialize count
 
    // Initialize empty hashmap.
    bool hashmap[MAX] = {false};
 
    // Insert array elements to hashmap
    for (int i = 0; i < n; i++)
        hashmap[arr[i]] = true;
 
    for (int i = 0; i < n; i++)
    {
        int x = arr[i];
        if (x - k >= 0 && hashmap[x - k])
            count++;
        if (x + k < MAX && hashmap[x + k])
            count++;
        hashmap[x] = false;
    }
    return count;
}

int countPairsWithDiffK(int arr[], int n, int k)
{
    int count = 0;
    sort(arr, arr+n);  // Sort array elements
 
    int l = 0;
    int r = 0;
    while(r < n)
    {
         if(arr[r] - arr[l] == k)
        {
              count++;
              l++;
              r++;
        }
         else if(arr[r] - arr[l] > k)
              l++;
         else // arr[r] - arr[l] < sum
              r++;
    }  
    return count;
}

int findPairs(int arr[],int n,int x)
{
    int l = 0, r = n-1;
    int result = 0;
 
    while (l < r)
    {
        // If current left and current
        // right have sum smaller than x,
        // the all elements from l+1 to r
        // form a pair with current l.
        if (arr[l] + arr[r] < x)
        {
            result += (r - l);
            l++;
        }
 
        // Move to smaller value
        else
            r--;
    }
 
    return result;
}
http://www.geeksforgeeks.org/count-pairs-difference-equal-k/
Given an integer array and a positive integer k, count all distinct pairs with difference equal to k.

int binarySearch(int arr[], int low, int high, int x)
{
    if (high >= low)
    {
        int mid = low + (high - low)/2;
        if (x == arr[mid])
            return mid;
        if (x > arr[mid])
            return binarySearch(arr, (mid + 1), high, x);
        else
            return binarySearch(arr, low, (mid -1), x);
    }
    return -1;
}
 
/* Returns count of pairs with difference k in arr[] of size n. */
int countPairsWithDiffK(int arr[], int n, int k)
{
    int count = 0, i;
    sort(arr, arr+n);  // Sort array elements
 
    /* code to remove duplicates from arr[] */
   
    // Pick a first element point
    for (i = 0; i < n-1; i++)
        if (binarySearch(arr, i+1, n-1, arr[i] + k) != -1)
            count++;
 
    return count;
}
http://www.geeksforgeeks.org/count-pairs-with-given-sum/
Given an array of integers, and a number ‘sum’, find the number of pairs of integers in the array whose sum is equal to ‘sum’.
int getPairsCount(int arr[], int n, int sum)
{
    unordered_map<int, int> m;
 
    // Store counts of all elements in map m
    for (int i=0; i<n; i++)
        m[arr[i]]++;
 
    int twice_count = 0;
 
    // iterate through each element and increment the
    // count (Notice that every pair is counted twice)
    for (int i=0; i<n; i++)
    {
        twice_count += m[sum-arr[i]];
 
        // if (arr[i], arr[i]) pair satisfies the condition,
        // then we need to ensure that the count is
        // decreased by one such that the (arr[i], arr[i])
        // pair is not considered
        if (sum-arr[i] == arr[i])
            twice_count--;
    }
 
    // return the half of twice_count
    return twice_count/2;
}

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