java.lang.Object
g2001_2100.s2059_minimum_operations_to_convert_number.Solution

public class Solution extends java.lang.Object
2059 - Minimum Operations to Convert Number.

Medium

You are given a 0-indexed integer array nums containing distinct numbers, an integer start, and an integer goal. There is an integer x that is initially set to start, and you want to perform operations on x such that it is converted to goal. You can perform the following operation repeatedly on the number x:

If 0 <= x <= 1000, then for any index i in the array (0 <= i < nums.length), you can set x to any of the following:

  • x + nums[i]
  • x - nums[i]
  • x ^ nums[i] (bitwise-XOR)

Note that you can use each nums[i] any number of times in any order. Operations that set x to be out of the range 0 <= x <= 1000 are valid, but no more operations can be done afterward.

Return the minimum number of operations needed to convert x = start into goal, and -1 if it is not possible.

Example 1:

Input: nums = [2,4,12], start = 2, goal = 12

Output: 2

Explanation: We can go from 2 \u2192 14 \u2192 12 with the following 2 operations.

  • 2 + 12 = 14

  • 14 - 2 = 12

Example 2:

Input: nums = [3,5,7], start = 0, goal = -4

Output: 2

Explanation: We can go from 0 \u2192 3 \u2192 -4 with the following 2 operations.

  • 0 + 3 = 3

  • 3 - 7 = -4

Note that the last operation sets x out of the range 0 <= x <= 1000, which is valid.

Example 3:

Input: nums = [2,8,16], start = 0, goal = 1

Output: -1

Explanation: There is no way to convert 0 into 1.

Constraints:

  • 1 <= nums.length <= 1000
  • -109 <= nums[i], goal <= 109
  • 0 <= start <= 1000
  • start != goal
  • All the integers in nums are distinct.
  • Constructor Summary

    Constructors
    Constructor
    Description
     
  • Method Summary

    Modifier and Type
    Method
    Description
    int
    minimumOperations(int[] nums, int start, int goal)
     

    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

    • minimumOperations

      public int minimumOperations(int[] nums, int start, int goal)