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.
\n
Example 1:
\n\n\nInput: nums = [2,4,12], start = 2, goal = 12\nOutput: 2\nExplanation: We can go from 2 → 14 → 12 with the following 2 operations.\n- 2 + 12 = 14\n- 14 - 2 = 12\n\n\n
Example 2:
\n\n\nInput: nums = [3,5,7], start = 0, goal = -4\nOutput: 2\nExplanation: We can go from 0 → 3 → -4 with the following 2 operations. \n- 0 + 3 = 3\n- 3 - 7 = -4\nNote that the last operation sets x out of the range 0 <= x <= 1000, which is valid.\n\n\n
Example 3:
\n\n\nInput: nums = [2,8,16], start = 0, goal = 1\nOutput: -1\nExplanation: There is no way to convert 0 into 1.\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 1000-109 <= nums[i], goal <= 1090 <= start <= 1000start != goalnums are distinct.Compiled with clang 11 using the latest C++ 20 standard.
Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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