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4 #include<stdio.h> #include<time.h> #include<stdlib.h> void quicksort(int a[],int low,int high); int partition(int a[],int low,int high); void swap(int*,int*); void quicksort(int a[],int low,int high) { if(low<high) { int pi = partition(a,low,high); quicksort(a,low,pi-1); quicksort(a,pi+1,high); } } void swap(int *a,int *b) { int c=*a; *a=*b; *b=c; } int partition(int a[],int low,int high) { int pivot=a[high]; int i=low-1; for(int j=low;j<=high-1;j++) { if(a[j]<=pivot) { i++; swap(&a[i],&a[j]); } } swap(&a[i+1],&a[high]); return (i+1); } void main() { srand(time(NULL)); int a[100000],n=100000; int elements[n]; for(int i=0;i<n;i++) { elements[i]=rand()%1000; } for(int size=5000;size<=n;size+=2000) { int arr[size]; for(int i=0;i<size;i++) { arr[i]=elements[i]; } clock_t start=clock(); quicksort(a,0,size); clock_t end=clock(); printf("Total time taken to sort %d elements is %lf\n",size,((double)(end- start)/CLOCKS_PER_SEC)); } } 5 #include<stdlib.h> #include<stdio.h> #include<time.h> void merge(int arr[], int l, int m, int r) { int i, j, k; int n1 = m - l + 1; int n2 = r - m; // Create temp arrays int L[n1], R[n2]; // Copy data to temp array for (i = 0; i < n1; i++) L[i] = arr[l + i]; for (j = 0; j < n2; j++) R[j] = arr[m + 1+ j]; // Merge the temp arrays 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++; } // Copy the remaining elements of L[] while (i < n1) { arr[k] = L[i]; i++; k++; } // Copy the remaining elements of R[] while (j < n2) { arr[k] = R[j]; j++; k++; } } void mergeSort(int arr[], int l, int r) { if (l < r) { // Finding mid element int m = l+(r-l)/2; // Recursively sorting both the halves mergeSort(arr, l, m); mergeSort(arr, m+1, r); merge(arr, l, m, r); } } void main() { srand(time(NULL)); int arr[100000],n=100000,i,size; int elements[n]; for(i=0;i<n;i++) elements[i]=rand()%1000; for(size=5000;size<n;size+=5000) { arr[size]; for(i=0;i<n;i++) { arr[i]=elements[i]; } clock_t start=clock(); mergeSort(arr, 0,size); clock_t end=clock(); printf("Total time taken to sort %d elements is %lf\n",size,((double)(end- start)/CLOCKS_PER_SEC)); } 6 Program A: #include<stdio.h> #include<conio.h> #define INF 999 int min(int a,int b) { return(a<b)?a:b; } void floyd(int p[][10],int n) { int i,j,k; for(k=1;k<=n;k++) for(i=1;i<=n;i++) for(j=1;j<=n;j++) p[i][j]=min(p[i][j],p[i][k]+p[k][j]); } void main() { int a[10][10],n,i,j; clrscr(); printf("\nEnter the n value:"); scanf("%d",&n); printf("\nEnter the graph data:\n"); for(i=1;i<=n;i++) for(j=1;j<=n;j++) scanf("%d",&a[i][j]); floyd(a,n); printf("\nShortest path matrix\n"); for(i=1;i<=n;i++) { for(j=1;j<=n;j++) printf("%d ",a[i][j]); printf("\n"); } getch(); } b Program B #include<stdio.h> void warsh(int p[][10],int n) { int i,j,k; for(k=1;k<=n;k++) for(i=1;i<=n;i++) for(j=1;j<=n;j++) p[i][j]=p[i][j] || p[i][k] && p[k][j]; } int main() { int a[10][10],n,i,j; printf("\nEnter the n value:"); scanf("%d",&n); printf("\nEnter the graph data:\n"); for(i=1;i<=n;i++) for(j=1;j<=n;j++) scanf("%d",&a[i][j]); warsh(a,n); printf("\nResultant path matrix\n"); for(i=1;i<=n;i++) { for(j=1;j<=n;j++) printf("%d ",a[i][j]); printf("\n"); } return 0; }
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