How do you find the maximum and minimum of an array?

How do you find the maximum and minimum of an array?

A brute force using single scan: loop increment by 1

1. We declare and initialize variables max and min to store maximum and minimum.
2. Traverse the array from i = 1 to n-1 and compare each element with min and max.
3. If (X[i] < min), it means we have found a value smaller than minimum value till ith index.

How do you find min and max in divide and conquer?

1. import sys. # Divide and conquer solution to find the minimum and maximum number in a list.
2. def findMinAndMax(nums, left, right, min=sys. maxsize, max=-sys.
3. if left == right: # common comparison.
4. min = nums[right]
5. max = nums[left]
6. # if the list contains only two elements.
7. if nums[left] < nums[right]: # comparison 1.

What is maximum and minimum algorithm?

Problem Statement The Max-Min Problem in algorithm analysis is finding the maximum and minimum value in an array.

How do you find the max of an array?

To find the maximum value in an array:

1. Assign the first (or any) array element to the variable that will hold the maximum value.
2. Loop through the remaining array elements, starting at the second element (subscript 1). When a larger value is found, that becomes the new maximum.

What is MIN MAX approach?

Minimax (sometimes MinMax, MM or saddle point) is a decision rule used in artificial intelligence, decision theory, game theory, statistics, and philosophy for minimizing the possible loss for a worst case (maximum loss) scenario. When dealing with gains, it is referred to as “maximin”—to maximize the minimum gain.

What is a maximum value?

The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph. If your quadratic equation has a negative a term, it will also have a maximum value. If you have the graph, or can draw the graph, the maximum is just the y value at the vertex of the graph.

How is the max min problem solved in algorithms?

Let us consider a simple problem that can be solved by divide and conquer technique. The Max-Min Problem in algorithm analysis is finding the maximum and minimum value in an array. To find the maximum and minimum numbers in a given array numbers [] of size n, the following algorithm can be used.

How to find the Max and Min numbers?

To find the maximum and minimum numbers, the following straightforward algorithm can be used. Algorithm: Max-Min-Element (numbers[]) max := numbers[1] min := numbers[1] for i = 2 to n do if numbers[i] > max then max := numbers[i] if numbers[i] < min then min := numbers[i] return (max, min) Analysis

How to find maximum and minimum values in an array?

Just like the merge sort, we could divide the array into two equal parts and recursively find the maximum and minimum of those parts. After this, compare the maximum and minimum of those parts to get the maximum and minimum of the whole array. 3. The recursive part is 4. Return max and min.

Where does a maximum and a minimum occur?

A maximum is a high point and a minimum is a low point: In a smoothly changing function a maximum or minimum is always where the function flattens out (except for a saddle point). Where does it flatten out? Where the slope is zero.