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C++ program to find minimum element in a sorted and rotated array.
(Binary Search Algo)
#include <bits/stdc++.h>
using namespace std;
int findMin(int arr[], int low, int high)
{
// This condition is needed to
// handle the case when array is not
// rotated at all
if (high < low) return arr[0];
// If there is only one element left
if (high == low) return arr[low];
// Find mid
int mid = low + (high - low)/2; /*(low + high)/2;*/
// Check if element (mid+1) is minimum element. Consider
// the cases like {3, 4, 5, 1, 2}
if (mid < high && arr[mid + 1] < arr[mid])
return arr[mid + 1];
// Check if mid itself is minimum element
if (mid > low && arr[mid] < arr[mid - 1])
return arr[mid];
// Decide whether we need to go to left half or right half
if (arr[high] > arr[mid])
return findMin(arr, low, mid - 1);
return findMin(arr, mid + 1, high);
}
// Driver program to test above functions
int main()
{
int arr1[] = {5, 6, 1, 2, 3, 4};
int n1 = sizeof(arr1)/sizeof(arr1[0]);
cout << "The minimum element is " << findMin(arr1, 0, n1-1) << endl;
int arr2[] = {1, 2, 3, 4};
int n2 = sizeof(arr2)/sizeof(arr2[0]);
cout << "The minimum element is " << findMin(arr2, 0, n2-1) << endl;
int arr3[] = {1};
int n3 = sizeof(arr3)/sizeof(arr3[0]);
cout<<"The minimum element is "<<findMin(arr3, 0, n3-1)<<endl;
int arr4[] = {1, 2};
int n4 = sizeof(arr4)/sizeof(arr4[0]);
cout<<"The minimum element is "<<findMin(arr4, 0, n4-1)<<endl;
int arr5[] = {2, 1};
int n5 = sizeof(arr5)/sizeof(arr5[0]);
cout<<"The minimum element is "<<findMin(arr5, 0, n5-1)<<endl;
int arr6[] = {5, 6, 7, 1, 2, 3, 4};
int n6 = sizeof(arr6)/sizeof(arr6[0]);
cout<<"The minimum element is "<<findMin(arr6, 0, n6-1)<<endl;
int arr7[] = {1, 2, 3, 4, 5, 6, 7};
int n7 = sizeof(arr7)/sizeof(arr7[0]);
cout << "The minimum element is " << findMin(arr7, 0, n7-1) << endl;
int arr8[] = {2, 3, 4, 5, 6, 7, 8, 1};
int n8 = sizeof(arr8)/sizeof(arr8[0]);
cout << "The minimum element is " << findMin(arr8, 0, n8-1) << endl;
int arr9[] = {3, 4, 5, 1, 2};
int n9 = sizeof(arr9)/sizeof(arr9[0]);
cout << "The minimum element is " << findMin(arr9, 0, n9-1) << endl;
return 0;
}