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48 changes: 48 additions & 0 deletions MaxProductOfSubArray.cpp
Original file line number Diff line number Diff line change
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#include <bits/stdc++.h>
using namespace std;

/* Returns the product of max product subarray.
Assumes that the given array always has a subarray
with product more than 1 */
int maxSubarrayProduct(int arr[], int n)
{
// max positive product ending at the current position
int max_ending_here = 1;

// min negative product ending at the current position
int min_ending_here = 1;

// Initialize overall max product
int max_so_far = 1;
int flag = 0;
for (int i = 0; i < n; i++) {
if (arr[i] > 0) {
max_ending_here = max_ending_here * arr[i];
min_ending_here = min(min_ending_here * arr[i], 1);
flag = 1;
}
else if (arr[i] == 0) {
max_ending_here = 1;
min_ending_here = 1;
}
else {
int temp = max_ending_here;
max_ending_here = max(min_ending_here * arr[i], 1);
min_ending_here = temp * arr[i];
}
if (max_so_far < max_ending_here)
max_so_far = max_ending_here;
}
if (flag == 0 && max_so_far == 1)
return 0;
return max_so_far;
}

int main()
{
int arr[] = { 1, -2, -3, 0, 7, -8, -2 };
int n = sizeof(arr) / sizeof(arr[0]);
cout << "Maximum Sub array product is "
<< maxSubarrayProduct(arr, n);
return 0;
}