Leetcode 88. Merge Sorted Array (Easy)
05 Jul 2024Leetcode Top Interview 150 的其中一題
題目描述
You are given two integer arrays nums1
and nums2
, sorted in non-decreasing order, and two integers m and n, representing the number of elements in nums1
and nums2
respectively.
Merge nums1
and nums2
into a single array sorted in non-decreasing order.
The final sorted array should not be returned by the function, but instead be stored inside the array nums1
. To accommodate this, nums1
has a length of m + n, where the first m elements denote the elements that should be merged, and the last n elements are set to 0 and should be ignored.nums2
has a length of n.
範例
Example 1:
Input: nums1 = [1,2,3,0,0,0], m = 3, nums2 = [2,5,6], n = 3
Output: [1,2,2,3,5,6]
Explanation: The arrays we are merging are [1,2,3] and [2,5,6].
The result of the merge is [1,2,2,3,5,6] with the underlined elements coming from nums1.
Example 2:
Input: nums1 = [1], m = 1, nums2 = [], n = 0
Output: [1]
Explanation: The arrays we are merging are [1] and [].
The result of the merge is [1].
Example 3:
Input: nums1 = [0], m = 0, nums2 = [1], n = 1
Output: [1]
Explanation: The arrays we are merging are [] and [1].
The result of the merge is [1].
Note that because m = 0, there are no elements in nums1. The 0 is only there to ensure the merge result can fit in nums1.
Constraints
- nums1.length == m + n
- nums2.length == n
- 0 <= m, n <= 200
- 1 <= m + n <= 200
- -10^9 <= nums1[i], nums2[j] <= 10^9
Follow up: Can you come up with an algorithm that runs in O(m + n) time?
解法
解法一
第一個解法有點簡單暴力,把 nums2 的值放到nums1 後段後,直接做排序
func merge(nums1 []int, m int, nums2 []int, n int) {
for j := m; j < len(nums1); j++ {
nums1[j] = nums2[j-m]
}
sort.Ints(nums1)
}
解法二
這個解法很巧妙!因為 nums1
最後 n 格是空的,所以我們可以從 nums1
有數值的地方的尾巴(nums1
最大的值) 和 nums2
最大的值開始比較,把比較大的填到 nums1
的最後,以此類推,從大的開始填
func merge(nums1 []int, m int, nums2 []int, n int) {
k := m+n-1 //最後一格
i := m-1
j := n-1
for j>=0 {
if i >= 0 && (nums1[i] > nums2[j]) {
nums1[k] = nums1[i]
i--
} else {
nums1[k] = nums2[j]
j--
}
k--
}
}