/* MERGE sort for numbers.Use step count,swap count,comparison count
*/
#include<stdio.h>
int stepcount=0,swapcount=0,compcount=0;
void mergesort(int a[] ,int i , int j);
void merge(int a[],int i1, int j1, int i2, int j2);
int main()
{
int a[50],n,i;
printf("\nEnter no of elements :");
scanf("%d",&n);
printf("\nEnter array elements :");
for(i=0;i<n;i++)
scanf("%d",&a[i]);
printf("\nUnsorted Data:");
for(i=0;i<n;i++)
printf("%5d",a[i]);
mergesort(a,0,n-1);
printf("\nSorted array is :");
for(i=0;i<n;i++)
printf("%d ",a[i]);
printf("\n No. of steps= %d",stepcount);
printf("\n No. of swaps= %d", swapcount);
printf("\n No. of comparisons= %d",compcount);
}
void mergesort(int a[] ,int i , int j)
{
int mid;
if(i<j)
{ mid=(i+j)/2;
mergesort(a,i,mid); //left recursion
mergesort(a,mid+1,j); //right recursion
merge(a,i,mid,mid+1,j); //meging of two sorted sub-arrays
}
}
void merge(int a[],int i1, int j1, int i2, int j2)
{
int temp[50]; //array used for merging
int i,j,k;
i=i1; //beginning of the first list
j=i2; //beginning of the second list
k=0;
while(i<=j1 && j <=j2) //while elemnts in both lists
{
if(a[i]<a[j])
{
temp[k++]=a[i++];
compcount++;
stepcount+=2;
}
else
{
temp[k++]=a[j++];
compcount++;
stepcount+=2;
}
}
while(i<=j1) //copy remaining elements of the first list
{
temp[k++]=a[i++];
swapcount++;
stepcount+=2;
}
while(j<=j2) //copy remaining elements of the second list
{
temp[k++]=a[j++];
swapcount++;
stepcount+=2;
}
//Transfer elemnts from temp[] back to a[]
for(i=i1,j=0;i<=j2;i++,j++)
a[i]=temp[j];
}
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