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# Finding Maximum And Minimum Using Divide And Conquer Pdf

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Given an array of integers. Find a peak element in it. An array element is a peak if it is NOT smaller than its neighbours.

## Partition Array Geeksforgeeks

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## divide and conquer

In computer science , the maximum sum subarray problem is the task of finding a contiguous subarray with the largest sum, within a given one-dimensional array A[ Some formulations of the problem also allow the empty subarray to be considered; by convention, the sum of all values of the empty subarray is zero. Each number in the input array A could be positive, negative, or zero. This problem can be solved using several different algorithmic techniques, including brute force, [2] divide and conquer, [3] dynamic programming, [4] and reduction to shortest paths.

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Java, In this example we are finding out the maximum and minimum values from an int array. See example. You can also write a recursive method to recursively go through the array to find maximum and minimum values in an array. To get the minimum or maximum value from the array we can use the Collections.

### Maximum subarray problem

To find the maximum and minimum numbers in a given array numbers[] of size n , the following algorithm can be used. First we are representing the naive method and then we will present divide and conquer approach. In this method, the maximum and minimum number can be found separately. To find the maximum and minimum numbers, the following straightforward algorithm can be used. The number of comparisons can be reduced using the divide and conquer approach. Following is the technique. In this approach, the array is divided into two halves.

Problem: Analyze the algorithm to find the maximum and minimum element from an array. Method 1: if we apply the general approach to the array of size n, the number of comparisons required are 2n Method In another approach, we will divide the problem into sub-problems and find the max and min of each group, now max. Of each group will compare with the only max of another group and min with min. Time is measured in units of the number of comparisons.

Algorithm: Finding the maximum and minimum. 5. Algorithm: Merge Given a function to compute on 'n' inputs the divide-and-conquer strategy suggests splitting the original problem, it is very natural to first describe them by using recursion.

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