C_Prakkhar.c

#include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>

void merge(int* arr, int l, int m, int r)
{
    int i, j, k;
    int n1 = m - l + 1;
    int n2 = r - m;
    int* L = (int*)malloc(sizeof(int) * n1);
    int* R = (int*)malloc(sizeof(int) * n2);
    for (i = 0; i < n1; i++)
        L[i] = arr[l + i];
    for (j = 0; j < n2; j++)
        R[j] = arr[m + 1 + j];
    i = 0;
    j = 0;
    k = l;
    while (i < n1 && j < n2) {
        if (L[i] <= R[j]) {
            arr[k] = L[i];
            i++;
        }
        else {
            arr[k] = R[j];
            j++;
        }
        k++;
    }
    while (i < n1) {
        arr[k] = L[i];
        i++;
        k++;
    }
    while (j < n2) {
        arr[k] = R[j];
        j++;
        k++;
    }
}
void mergeSort(int* arr, int l, int r)
{
    if (l < r) {
        int m = l + (r - l) / 2;
        mergeSort(arr, l, m);
        mergeSort(arr, m + 1, r);

        merge(arr, l, m, r);
    }
}

bool check(int* arr , int len, int n , int k)
{
    int count = 1;
    int last_selected = arr[0];
    for(int i = 1; i < len ; i++)
    {
        if((arr[i]-last_selected) >= k)
        {
            count++;
            last_selected = arr[i];
            if(count == n)return true;
        }
    }
    return false;
}

int n,m;

int main()
{
    scanf("%d %d%*c" , &n , &m);
    int* arr = (int*)malloc(sizeof(int) * m);
    for (int  i = 0; i < m; i++)scanf("%d%*c" , &arr[i]);
    mergeSort(arr , 0 , m-1);
    int low = 0;
    int high = arr[m-1] - arr[0];
    int mid = low + (high - low)/2;
    int ans = 0;
    while(low <= high)
    {
        mid = low + (high - low)/2;
        if(check(arr , m , n , mid))
        {
            ans = mid;
            low = mid+1;
        }else high = mid - 1;
    }
    printf("%d" , ans);
}