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➤微信公衆號:山青詠芝(shanqingyongzhi)
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Given two arrays of length m
and n
with digits 0-9
representing two numbers. Create the maximum number of length k <= m + n
from digits of the two. The relative order of the digits from the same array must be preserved. Return an array of the k
digits.git
Note: You should try to optimize your time and space complexity.github
Example 1:算法
Input: nums1 = nums2 = k = Output: [3, 4, 6, 5][9, 1, 2, 5, 8, 3]5[9, 8, 6, 5, 3]
Example 2:微信
Input: nums1 = nums2 = k = Output: [6, 7][6, 0, 4]5[6, 7, 6, 0, 4]
Example 3:app
Input: nums1 = nums2 = k = Output: [3, 9][8, 9]3[9, 8, 9]
說明: 請儘量地優化你算法的時間和空間複雜度。優化
示例 1:spa
輸入: nums1 = nums2 = k = 輸出: [3, 4, 6, 5][9, 1, 2, 5, 8, 3]5[9, 8, 6, 5, 3]
示例 2:code
輸入: nums1 = nums2 = k = 輸出: [6, 7][6, 0, 4]5[6, 7, 6, 0, 4]
示例 3:htm
輸入: nums1 = nums2 = k = 輸出: [3, 9][8, 9]3[9, 8, 9]
380 ms
1 class Solution { 2 func maxNumber(_ nums1: [Int], _ nums2: [Int], _ k: Int) -> [Int] { 3 let m = nums1.count 4 let n = nums2.count 5 6 var res = [Int]() 7 8 let c = max(0, k-n) 9 10 for i in c...min(k, m) { 11 let r1 = maxNumArr(nums1, i) 12 let r2 = maxNumArr(nums2, k-i) 13 let tmp = maxNums(r1, r2, k) 14 if isGreater(tmp, res, 0, 0) { 15 res = tmp 16 } 17 } 18 19 return res 20 } 21 22 func maxNumArr(_ nums : [Int], _ k : Int) -> [Int] { 23 var res = [Int]() 24 for i in 0..<nums.count { 25 let num = nums[i] 26 while !res.isEmpty && num > res.last! && nums.count + res.count > k + i { 27 res.removeLast() 28 } 29 res.append(num) 30 continue 31 } 32 return res 33 } 34 35 func maxNums(_ num1 : [Int], _ num2 : [Int],_ k : Int) -> [Int] { 36 var res = [Int]() 37 var i = 0 , j = 0 38 for _ in 0..<k { 39 if isGreater(num1, num2, i, j) { 40 res.append(num1[i]) 41 i+=1 42 }else { 43 res.append(num2[j]) 44 j+=1 45 } 46 } 47 48 return res 49 } 50 51 func isGreater(_ nums1: [Int], _ nums2 : [Int], _ i : Int, _ j : Int) -> Bool { 52 var i = i , j = j 53 while i < nums1.count , j < nums2.count && nums1[i] == nums2[j] { 54 i+=1 55 j+=1 56 } 57 58 return j == nums2.count || (i < nums1.count && nums1[i] > nums2[j]) 59 } 60 }