Created
February 8, 2023 12:34
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Finding the maximum element in a unimodal array (elements increases to a maximum and decreases there after). Efficient algorithm which runs in O(log n) time.
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public class Main { | |
public static void main(String[] args) { | |
System.out.println(maxElementInUnimodalArray(new int[]{1, 2, 5, 4, 3})); //Expected 5 | |
System.out.println(maxElementInUnimodalArray(new int[]{1, 2, 3, 4, 5})); //Expected 5 | |
System.out.println(maxElementInUnimodalArray(new int[]{5, 4, 3, 2, 1})); //Expected 5 | |
System.out.println(maxElementInUnimodalArray(new int[]{6})); //Expected 6 | |
} | |
private static int maxElementInUnimodalArray(int[] arr) { | |
if (arr == null || arr.length == 0) { | |
return -1; | |
} | |
int low = 0, high = arr.length - 1; | |
int mid = 0; | |
while (low <= high) { | |
mid = (low + high) / 2; | |
if ((mid == 0 || arr[mid] > arr[mid - 1]) && | |
(mid == arr.length - 1 || arr[mid] > arr[mid + 1])) { | |
break; | |
} | |
if (mid > 0 && arr[mid] < arr[mid - 1]) { | |
high = mid - 1; | |
} else { | |
low = mid + 1; | |
} | |
} | |
return arr[mid]; | |
} | |
} |
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