Package g0501_0600.s0553_optimal_division

Class Solution

java.lang.Object
g0501_0600.s0553_optimal_division.Solution
public class Solution extends java.lang.Object
553 - Optimal Division.

Medium

You are given an integer array nums. The adjacent integers in nums will perform the float division.

  • For example, for nums = [2,3,4], we will evaluate the expression "2/3/4".

However, you can add any number of parenthesis at any position to change the priority of operations. You want to add these parentheses such the value of the expression after the evaluation is maximum.

Return the corresponding expression that has the maximum value in string format.

Note: your expression should not contain redundant parenthesis.

Example 1:

Input: nums = [1000,100,10,2]

Output: “1000/(100/10/2)”

Explanation:

 1000/(100/10/2) = 1000/((100/10)/2) = 200
 However, the bold parenthesis in "1000/((100/10)/2)" are redundant, since they don't influence the operation priority.
 So you should return "1000/(100/10/2)".
 Other cases:
 1000/(100/10)/2 = 50
 1000/(100/(10/2)) = 50
 1000/100/10/2 = 0.5
 1000/100/(10/2) = 2

Example 2:

Input: nums = [2,3,4]

Output: “2/(3/4)”

Example 3:

Input: nums = [2]

Output: “2”

Constraints:

  • 1 <= nums.length <= 10
  • 2 <= nums[i] <= 1000
  • There is only one optimal division for the given iput.

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    java.lang.String
    optimalDivision(int[] nums)
     

    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

    • optimalDivision

      public java.lang.String optimalDivision(int[] nums)