Package g1701_1800.s1770_maximum_score_from_performing_multiplication_operations

Class Solution

java.lang.Object
g1701_1800.s1770_maximum_score_from_performing_multiplication_operations.Solution
public class Solution extends java.lang.Object
1770 - Maximum Score from Performing Multiplication Operations.

Medium

You are given two integer arrays nums and multipliers of size n and m respectively, where n >= m. The arrays are 1-indexed.

You begin with a score of 0. You want to perform exactly m operations. On the ith operation (1-indexed) , you will:

  • Choose one integer x from either the start or the end of the array nums.
  • Add multipliers[i] * x to your score.
  • Remove x from the array nums.

Return the maximum score after performing m operations.

Example 1:

Input: nums = [1,2,3], multipliers = [3,2,1]

Output: 14

Explanation: An optimal solution is as follows:

  • Choose from the end, [1,2, 3 ], adding 3 * 3 = 9 to the score.

  • Choose from the end, [1, 2 ], adding 2 * 2 = 4 to the score.

  • Choose from the end, [1 ], adding 1 * 1 = 1 to the score.

The total score is 9 + 4 + 1 = 14.

Example 2:

Input: nums = [-5,-3,-3,-2,7,1], multipliers = [-10,-5,3,4,6]

Output: 102

Explanation: An optimal solution is as follows:

  • Choose from the start, [-5 ,-3,-3,-2,7,1], adding -5 * -10 = 50 to the score.

  • Choose from the start, [-3 ,-3,-2,7,1], adding -3 * -5 = 15 to the score.

  • Choose from the start, [-3 ,-2,7,1], adding -3 * 3 = -9 to the score.

  • Choose from the end, [-2,7, 1 ], adding 1 * 4 = 4 to the score.

  • Choose from the end, [-2, 7 ], adding 7 * 6 = 42 to the score.

The total score is 50 + 15 - 9 + 4 + 42 = 102.

Constraints:

  • n == nums.length
  • m == multipliers.length
  • 1 <= m <= 103
  • m <= n <= 105
  • -1000 <= nums[i], multipliers[i] <= 1000

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    maximumScore(int[] nums, int[] mult)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • maximumScore

      public int maximumScore(int[] nums, int[] mult)