S-এর মধ্যকের সবচেয়ে কাছাকাছি k সংখ্যা খুঁজে বের করার জন্য C++ প্রোগ্রাম, যেখানে S হল n সংখ্যার একটি সেট

এটি একটি C++ প্রোগ্রাম যা S-এর মধ্যকার নিকটতম k সংখ্যা খুঁজে বের করার জন্য, যেখানে S হল n সংখ্যার একটি সেট।

অ্যালগরিদম

Begin
   function partition() for partitioning the array on the basis of values at high as pivot value:
   Arguments:
      a[]=an array.
      l=low
   H=high
   Body of the function:
   Declare variables pivot, in, i
   Initialize in = l
   Set pivot = h
   For i=l to h-1
      if(a[i] < a[pivot])
         swap a[i] and a[in])
      increment in.
      swap a[pivot] and a[in]
   return in.
End
Begin
   function QuickSort() to implement quicksort algorithm to sort the data elements:
   Arguments:
      a[]=an array.
      l=low
      h=high
   Body of the function:
   declare pindex
   if(l < h)
      index = Partition(a, l, h)
      QuickSort(a, l, pindex-1);
      QuickSort(a, pindex+1, h);
   Return 0.
End
Begin
   Function main(),
   If the number of the data element are odd,
      Assign the middle index to low and the index next to it to high and calculate median.
      Run a loop for k times and print the element which his closer to the median.
   Else
      The median will be an average of two middle values .
      Run a loop for k times and print the element which his closer to the median.
End

উদাহরণ

#include<iostream>
using namespace std;
void swap(int *x, int *y) { //swapping two values 
   int tmp;
   tmp = *x;
   *x = *y;
   *y = tmp;
}
int Partition(int a[], int l, int h) {
   int pivot, in, i;
   in = l;
   pivot = h;
   for(i=l; i < h; i++) {
      if(a[i] < a[pivot]) {
         swap(&a[i], &a[in]);
         in++;
      }
   }
   swap(&a[pivot], &a[in]);
   return in;
}
int QuickSort(int a[], int l, int h) {
   int pindex;
   if(l < h) {
      pindex = Partition(a, l, h);
      QuickSort(a, l, pindex-1);
      QuickSort(a, pindex+1, h);
   }
   return 0;
}
int main() {
   int n, i, h, l, k;
   double d1,d2, median;
   cout<<"Enter the number of element in dataset: ";
   cin>>n;
   int a[n];
   for(i = 0; i < n; i++) {
      cout<<"\nEnter "<<i+1<<" element: ";
      cin>>a[i];
   }
   cout<<"\nEnter the number of element nearest to the median required: ";
   cin>>k;
   QuickSort(a, 0, n-1);
   cout<<"The K element nearest to the median are: ";
   if(n%2 == 1) {
      median = a[n/2];
      h = n/2+1;
      l= n/2;
      while(k > 0) {
         if((median-a[l] <= a[h]-median) && l >= 0) {
            cout<<" "<<a[l];
            l--;
            k--;
         } else if((median-a[l] > a[h]-median) && h <= n-1) {
            cout<<" "<<a[h];
            h++;
            k--;
         }
      }
   } else {
      d1 = a[n/2];
      d2 = a[n/2-1];
      median = (d1+d2)/2;
      h = n/2;
      l = n/2-1;
      while(k > 0) {
         d1 = a[l];
         d2 = a[h];
         if((median-d2 <= d1-median) && l >= 0) {
            cout<<" "<<a[l];
            l--;
            k--;
         } else if((median-d2 > d1-median) && h <= n-1) {
            cout<<" "<<a[h];
            h++;
            k--;
         }
      }
   }
   return 0;
}

আউটপুট

Enter the number of element in dataset: 7
Enter 1 element: 7
Enter 2 element: 6
Enter 3 element: 5
Enter 4 element: 4
Enter 5 element: 3
Enter 6 element: 2
Enter 7 element: 1
Enter the number of element nearest to the median required: 2
The K element nearest to the median are: 4 3