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Given an integer array nums
of length n
and an integer target
, find three integers in nums
such that the sum is closest to target
.
Return the sum of the three integers.
You may assume that each input would have exactly one solution.
Example 1:
Input: nums = [-1,2,1,-4], target = 1 Output: 2 Explanation: The sum that is closest to the target is 2. (-1 + 2 + 1 = 2).
Example 2:
Input: nums = [0,0,0], target = 1 Output: 0 Explanation: The sum that is closest to the target is 0. (0 + 0 + 0 = 0).
Constraints:
3 <= nums.length <= 500
-1000 <= nums[i] <= 1000
-10 4 <= target <= 10 4
Python
# time complexity: O(n) # space complexity: O(n) from typing import List class Solution(object): def maxProfit(self, prices: List[int]) -> int: if len(prices) <= 1 : return 0 leftMin = prices[0] rightMax = prices[-1] length = len(prices) leftProfits = [0] * length rightProfits = [0] * (length + 1) for l in range(1, length): leftProfits[l] = max(leftProfits[l - 1], prices[l] - leftMin) leftMin = min(leftMin, prices[l]) r = length - 1 - l rightProfits[r] = max(rightProfits[r + 1], rightMax - prices[r]) rightMax = max(rightMax, prices[r]) maxProfit = 0 print(leftProfits) print(rightProfits) for i in range(0, length): maxProfit = max(maxProfit, leftProfits[ i] + rightProfits[i + 1]) return maxProfit prices = [7, 1, 5, 3, 6, 4] # leftProfit = [0, 0, 4, 4, 5, 5] # rightProfit = [5, 5 , 3, 3, 0, 0, 0] print(Solution().maxProfit(prices))