Description
You are given a 0-indexed array nums that consists of n distinct positive integers. Apply m operations to this array, where in the ith operation you replace the number operations[i][0] with operations[i][1].
It is guaranteed that in the ith operation:
operations[i][0]exists innums.operations[i][1]does not exist innums.
Return the array obtained after applying all the operations.
Example 1:
Input: nums = [1,2,4,6], operations = [[1,3],[4,7],[6,1]] Output: [3,2,7,1] Explanation: We perform the following operations on nums: - Replace the number 1 with 3. nums becomes [3,2,4,6]. - Replace the number 4 with 7. nums becomes [3,2,7,6]. - Replace the number 6 with 1. nums becomes [3,2,7,1]. We return the final array [3,2,7,1].
Example 2:
Input: nums = [1,2], operations = [[1,3],[2,1],[3,2]] Output: [2,1] Explanation: We perform the following operations to nums: - Replace the number 1 with 3. nums becomes [3,2]. - Replace the number 2 with 1. nums becomes [3,1]. - Replace the number 3 with 2. nums becomes [2,1]. We return the array [2,1].
Constraints:
n == nums.lengthm == operations.length1 <= n, m <= 105- All the values of
numsare distinct. operations[i].length == 21 <= nums[i], operations[i][0], operations[i][1] <= 106operations[i][0]will exist innumswhen applying theithoperation.operations[i][1]will not exist innumswhen applying theithoperation.
Solutions
Solution 1: Hash Table
First, we use a hash table d to record the indices of each number in the array nums. Then, we iterate through the operation array operations. For each operation [x, y], we replace the number at index d[x] in nums with y, and update the index of y in d to d[x].
Finally, we return nums.
The time complexity is O(n + m), and the space complexity is O(n). Here, n and m are the lengths of the array nums and the operation array operations, respectively.
class Solution: def arrayChange(self, nums: List[int], operations: List[List[int]]) -> List[int]: d = {x: i for i, x in enumerate(nums)} for x, y in operations: nums[d[x]] = y d[y] = d[x] return nums(code-box)
