Class Solution


  • public class Solution
    extends Object
    330 - Patching Array.

    Hard

    Given a sorted integer array nums and an integer n, add/patch elements to the array such that any number in the range [1, n] inclusive can be formed by the sum of some elements in the array.

    Return the minimum number of patches required.

    Example 1:

    Input: nums = [1,3], n = 6

    Output: 1

    Explanation:

     Combinations of nums are [1], [3], [1,3], which form possible sums of: 1, 3, 4.
     Now if we add/patch 2 to nums, the combinations are: [1], [2], [3], [1,3], [2,3], [1,2,3].
     Possible sums are 1, 2, 3, 4, 5, 6, which now covers the range [1, 6].
     So we only need 1 patch. 
    

    Example 2:

    Input: nums = [1,5,10], n = 20

    Output: 2

    Explanation: The two patches can be [2, 4].

    Example 3:

    Input: nums = [1,2,2], n = 5

    Output: 0

    Constraints:

    • 1 <= nums.length <= 1000
    • 1 <= nums[i] <= 104
    • nums is sorted in ascending order.
    • 1 <= n <= 231 - 1
    • Constructor Detail

      • Solution

        public Solution()
    • Method Detail

      • minPatches

        public int minPatches​(int[] nums,
                              int n)