Maximum Subarray sum
def maxSubArray(self, nums: List[int]) -> int:
curr_best = overall_best = nums[0]
for i in range(1,len(nums)):
if curr_best>=0:
curr_best = curr_best + nums[i]
else:
curr_best = nums[i]
if curr_best > overall_best:
overall_best = curr_best
return overall_best
find maximum sum in array of contiguous subarrays
#include <iostream>
using namespace std;
int main(){
//Input Array
int n;
cin >> n;
int arr[n];
for(int i =0;i< n;i++){
cin >> arr[i];
}
int currentSum = 0;
int maxSum = INT_MIN;
//algo
for (int i = 0; i < n; i++)
{
currentSum += arr[i];
if (currentSum <0)
{
currentSum = 0;
}
maxSum = max(maxSum, currentSum);
}
cout << maxSum << endl;
return 0;
}
maximum sum subarray
public static int SumArray()
{
var arr = new int[]{ -2, -4, -5, -6, -7, -89, -56 };
var sum = 0;
var max = arr[0];
foreach (var item in arr)
{
sum += item;
// sum = Math.Max(sum,0); resting here will not give expected output
max = Math.Max(sum,max);
sum = Math.Max(sum,0);
}
return max;
}
kadane algorithm
public int kadane(int[] arr){
int max_so_far = 0, curr_max = Integer.MIN_VALUE;
for(int i: arr){
max_so_far += i;
if(max_so_far<0) max_so_far = 0;
if(max_so_far>curr_max) curr_max = max_so_far;
}
return curr_max;
}
max subsequence sum in array
def max_subarray(numbers):
"""Find the largest sum of any contiguous subarray."""
best_sum = 0 # or: float('-inf')
current_sum = 0
for x in numbers:
current_sum = max(0, current_sum + x)
best_sum = max(best_sum, current_sum)
return best_sum
Maximum subarray sum
var maxSequence = function(arr){
var min = 0, ans = 0, i, sum = 0;
for (i = 0; i < arr.length; ++i) {
sum += arr[i];
min = Math.min(sum, min);
ans = Math.max(ans, sum - min);
}
return ans;
}