Does every array have a peak?

If all elements of input array are same, every element is a peak element.

Does a peak always exist?

The thing with the peak is that a peak always exists either in the middle either in the left half either in the right half.

How do you find the peak of an array in Python?

Find Peak Element in Python

1. low := 0 and high := last index of array, n := size of array, ans := infinity.
2. while low <= high. mid := low + (high – low)/2. if mid – 1 >= 0 and nums[mid – 1] <= nums[mid], then low := mid, otherwise high := mid – 1.
3. return low.

What are peak elements?

A peak element is an element that is strictly greater than its neighbors. Given an integer array nums , find a peak element, and return its index. If the array contains multiple peaks, return the index to any of the peaks. You may imagine that nums[-1] = nums[n] = -∞ .

How do you find the peak of a 2D array?

Method 2 : (Efficient)

1. Consider mid column and find maximum element in it.
2. Let index of mid column be ‘mid’, value of maximum element in mid column be ‘max’ and maximum element be at ‘mat[max_index][mid]’.
3. If max >= A[index][mid-1] & max >= A[index][pick+1], max is a peak, return max.

What is peak in algorithm?

According to his definitions: Given an array [a,b,c,d,e,f,g] where a-g are numbers, b is a peak if and only if a <= b and b>= c. He gave a recursive approach: if a[n/2] < a[n/2 -1] then look for a peak from a[1] a[n/2 -1] else if a[n/2] < a[n/2+1] then look for a peak from a[n/2+1] …

What is peak data structure?

A peak is a position at which the elements to sides all four sides, up — down — left — right are smaller than the element at the position. Case 1, Straight forward traversing: Traverse the whole 2-D matrix and compare all the elements.

What are the properties of arrays?

Characteristics of Arrays in C

• An array holds elements that have the same data type.
• Array elements are stored in subsequent memory locations.
• Two-dimensional array elements are stored row by row in subsequent memory locations.
• Array name represents the address of the starting element.