Package g2101_2200.s2155_all_divisions_with_the_highest_score_of_a_binary_array

Class Solution

java.lang.Object
g2101_2200.s2155_all_divisions_with_the_highest_score_of_a_binary_array.Solution
public class Solution extends java.lang.Object
2155 - All Divisions With the Highest Score of a Binary Array.

Medium

You are given a 0-indexed binary array nums of length n. nums can be divided at index i (where 0 <= i <= n) into two arrays (possibly empty) numsleft and numsright:

  • numsleft has all the elements of nums between index 0 and i - 1 (inclusive) , while numsright has all the elements of nums between index i and n - 1 (inclusive).
  • If i == 0, numsleft is empty , while numsright has all the elements of nums.
  • If i == n, numsleft has all the elements of nums, while numsright is empty.

The division score of an index i is the sum of the number of 0’s in numsleft and the number of 1’s in numsright.

Return all distinct indices that have the highest possible division score. You may return the answer in any order.

Example 1:

Input: nums = [0,0,1,0]

Output: [2,4]

Explanation: Division at index

  • 0: numsleft is []. numsright is [0,0, 1 ,0]. The score is 0 + 1 = 1.

  • 1: numsleft is [0 ]. numsright is [0, 1 ,0]. The score is 1 + 1 = 2.

  • 2: numsleft is [0 , 0 ]. numsright is [1 ,0]. The score is 2 + 1 = 3.

  • 3: numsleft is [0 , 0 ,1]. numsright is [0]. The score is 2 + 0 = 2.

  • 4: numsleft is [0 , 0 ,1, 0 ]. numsright is []. The score is 3 + 0 = 3.

Indices 2 and 4 both have the highest possible division score 3.

Note the answer [4,2] would also be accepted.

Example 2:

Input: nums = [0,0,0]

Output: [3]

Explanation: Division at index

  • 0: numsleft is []. numsright is [0,0,0]. The score is 0 + 0 = 0.

  • 1: numsleft is [0 ]. numsright is [0,0]. The score is 1 + 0 = 1.

  • 2: numsleft is [0 , 0 ]. numsright is [0]. The score is 2 + 0 = 2.

  • 3: numsleft is [0 , 0 , 0 ]. numsright is []. The score is 3 + 0 = 3.

Only index 3 has the highest possible division score 3.

Example 3:

Input: nums = [1,1]

Output: [0]

Explanation: Division at index

  • 0: numsleft is []. numsright is [1 , 1 ]. The score is 0 + 2 = 2.

  • 1: numsleft is [1]. numsright is [1 ]. The score is 0 + 1 = 1.

  • 2: numsleft is [1,1]. numsright is []. The score is 0 + 0 = 0.

Only index 0 has the highest possible division score 2.

Constraints:

  • n == nums.length
  • 1 <= n <= 105
  • nums[i] is either 0 or 1.

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    java.util.List<java.lang.Integer>
    maxScoreIndices(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

    • maxScoreIndices

      public java.util.List<java.lang.Integer> maxScoreIndices(int[] nums)