Maximal Sublist Product - Amazon Top Interview Questions


Problem Statement :


Given a list of integers nums, find the maximum product of integers in any contiguous sublist.

Constraints

1 ≤ n ≤ 100,000 where n is the length of nums

Example 1

Input

nums = [1, 10, 2, 0, 3, 5]

Output

20

Explanation

Maximum product sublist is [1, 10, 2]  and 1 * 10 * 2 = 20


Solution :



title-img 




                        Solution in C++ :

int solve(vector<int>& nums) {
    int product = 1, neg = 0, cur = 0, maxp = INT_MIN;
    for (int i : nums) {
        product *= i;
        cur = product;
        if (product < 0) {
            if (neg)
                cur /= neg;
            else
                neg = cur;
        } else if (product == 0) {
            product = 1;
            neg = 0;
        }
        maxp = max(maxp, cur);
    }
    return maxp;
}
                    




                        Solution in Python : 
                            
class Solution:
    def solve(self, nums):
        ans = float("-inf")
        lo = hi = 1

        for x in nums:
            lo, hi = min(lo * x, hi * x, x), max(lo * x, hi * x, x)
            ans = max(ans, hi)
        return ans


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