Union and Intersect of two sorted array
Algorithm Union(arr1[], arr2[]): For union of two arrays, follow the following merge procedure.
- Use two index variables i and j, initial values i = 0, j = 0
- If arr1[i] is smaller than arr2[j] then print arr1[i] and increment i.
- If arr1[i] is greater than arr2[j] then print arr2[j] and increment j.
- If both are same then print any of them and increment both i and j.
- Print remaining elements of the larger array.
#include<stdio.h>
/* Function prints union of arr1[] and arr2[]
m is the number of elements in arr1[]
n is the number of elements in arr2[] */
int printUnion(int arr1[], int arr2[], int m, int n)
{
int i = 0, j = 0;
while (i < m && j < n)
{
if (arr1[i] < arr2[j])
printf(" %d ", arr1[i++]);
else if (arr2[j] < arr1[i])
printf(" %d ", arr2[j++]);
else
{ // if they are equal
printf(" %d ", arr2[j++]);
i++;
}
}
/* Print remaining elements of the larger array */
while(i < m)
printf(" %d ", arr1[i++]);
while(j < n)
printf(" %d ", arr2[j++]);
}
/* Driver program to test above function */
int main()
{
int arr1[] = {1, 2, 4, 5, 6};
int arr2[] = {2, 3, 5, 7};
int m = sizeof(arr1)/sizeof(arr1[0]);
int n = sizeof(arr2)/sizeof(arr2[0]);
printUnion(arr1, arr2, m, n);
getchar();
return 0;
}
For Intersection of two arrays, print the element only if the element is present in both arrays.
- Use two index variables i and j, initial values i = 0, j = 0
- If arr1[i] is smaller than arr2[j] then increment i.
- If arr1[i] is greater than arr2[j] then increment j.
- If both are same then print any of them and increment both i and j.
#include<stdio.h>
/* Function prints Intersection of arr1[] and arr2[]
m is the number of elements in arr1[]
n is the number of elements in arr2[] */
int printIntersection(int arr1[], int arr2[], int m, int n)
{
int i = 0, j = 0;
while (i < m && j < n)
{
if (arr1[i] < arr2[j])
i++;
else if (arr2[j] < arr1[i])
j++;
else /* if arr1[i] == arr2[j] */
{
printf(" %d ", arr2[j++]);
i++;
}
}
}
/* Driver program to test above function */
int main()
{
int arr1[] = {1, 2, 4, 5, 6};
int arr2[] = {2, 3, 5, 7};
int m = sizeof(arr1)/sizeof(arr1[0]);
int n = sizeof(arr2)/sizeof(arr2[0]);
printIntersection(arr1, arr2, m, n);
getchar();
return 0;
}