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DAY154 - Max Product Subarray
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55 lines (51 loc) · 1.79 KB
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Given an integer array nums, find a subarray that has the largest product, and return the product.
The test cases are generated so that the answer will fit in a 32-bit integer.
Example 1:
Input: nums = [2,3,-2,4]
Output: 6
Explanation: [2,3] has the largest product 6.
Example 2:
Input: nums = [-2,0,-1]
Output: 0
Explanation: The result cannot be 2, because [-2,-1] is not a subarray.
Constraints:
1 <= nums.length <= 2 * 104
-10 <= nums[i] <= 10
The product of any prefix or suffix of nums is guaranteed to fit in a 32-bit integer.
****************************************************
class Solution:
def maxProduct(self, nums: List[int]) -> int:
prod = 1
maxLeft = nums[0]
maxRight = nums[0]
zeroPresent = False
for i in range(0, len(nums)):
if nums[i] == 0:
prod = 1
zeroPresent = True
continue
prod = prod*nums[i]
maxLeft = max(prod, maxLeft)
prod = 1
for i in range(len(nums)-1,-1,-1):
if nums[i] == 0:
prod = 1
zeroPresent = True
continue
prod = prod*nums[i]
maxRight = max(prod, maxRight)
if zeroPresent:
return max(max(maxLeft, maxRight),0)
return max(maxLeft, maxRight)
**************************************************
class Solution:
def maxProduct(self, nums: List[int]) -> int:
result = nums[0]
prod1 = nums[0] #current prod
prod2 = nums[0] #minimum till now
for i in range(1,len(nums)):
temp = max(max(prod1*nums[i], prod2*nums[i]),nums[i])
prod2 = min(min(prod1*nums[i], prod2*nums[i]), nums[i])
prod1 = temp
result = max(prod1,result)
return result