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.
Note: You should try to optimize your time and space complexity.
Example 1:
Input: nums1 = nums2 = k = Output: [3,4,6,5][9,1,2,5,8,3]5[9,3]
Example 2:
Input: nums1 = nums2 = k = Output: [6,7][6,4]5[6,7,4]
Example 3:
Input: nums1 = nums2 = k = Output: [3,9][8,9]3[9,9]
说明: 请尽可能地优化你算法的时间和空间复杂度。
示例 1:
输入: nums1 = nums2 = k = 输出: [3,3]
示例 2:
输入: nums1 = nums2 = k = 输出: [6,4]
示例 3:
输入: nums1 = nums2 = k = 输出: [3,9]
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 }
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