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47 changes: 47 additions & 0 deletions Kadane.java
Original file line number Diff line number Diff line change
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//Kadane’s Algorithm:

//Initialize:
// max_so_far = 0
// max_ending_here = 0

//Loop for each element of the array
// (a) max_ending_here = max_ending_here + a[i]
// (b) if(max_ending_here < 0)
// max_ending_here = 0
// (c) if(max_so_far < max_ending_here)
// max_so_far = max_ending_here
//return max_so_far


//Explanation:
//Simple idea of the Kadane’s algorithm is to look for all positive contiguous segments of the array (max_ending_here is used for this). And keep track of maximum sum contiguous segment among all positive segments (max_so_far is used for this). Each time we get a positive sum compare it with max_so_far and update max_so_far if it is greater than max_so_far

import java.io.*;
// Java program to print largest contiguous array sum
import java.util.*;

class Kadane
{
public static void main (String[] args)
{
int [] a = {-2, -3, 4, -1, -2, 1, 5, -3};
System.out.println("Maximum contiguous sum is " +
maxSubArraySum(a));
}

static int maxSubArraySum(int a[])
{
int size = a.length;
int max_so_far = Integer.MIN_VALUE, max_ending_here = 0;

for (int i = 0; i < size; i++)
{
max_ending_here = max_ending_here + a[i];
if (max_so_far < max_ending_here)
max_so_far = max_ending_here;
if (max_ending_here < 0)
max_ending_here = 0;
}
return max_so_far;
}
}