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➤微信公众号:山青咏芝(shanqingyongzhi)
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➤GitHub地址:https://github.com/strengthen/LeetCode
➤原文地址:https://www.cnblogs.com/strengthen/p/10015724.html
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Given an array A of strings, find any smallest string that contains each string in A
as a substring.
We may assume that no string in A
is substring of another string in A
.
Example 1:
Input: ["alex","loves","leetcode"]
Output: "alexlovesleetcode"
Explanation: All permutations of "alex","loves","leetcode" would also be accepted.
Example 2:
Input: ["catg","ctaagt","gcta","ttca","atgcatc"]
Output: "gctaagttcatgcatc"
Note:
1 <= A.length <= 12
1 <= A[i].length <= 20
给定一个字符串数组 A
,找到以 A
中每个字符串作为子字符串的最短字符串。
我们可以假设 A
中没有字符串是 A
中另一个字符串的子字符串。
示例 1:
输入:["alex","loves","leetcode"] 输出:"alexlovesleetcode" 解释:"alex","loves","leetcode" 的所有排列都会被接受。
示例 2:
输入:["catg","ctaagt","gcta","ttca","atgcatc"] 输出:"gctaagttcatgcatc"
提示:
1 <= A.length <= 12
1 <= A[i].length <= 20
100ms
1 class Solution { 2 func countSubstr(_ A: [String], _ n: String) -> Int { 3 var sum = 0 4 for var s in A { 5 if n.contains(s) { 6 sum += s.count 7 } 8 } 9 return sum 10 } 11 func shortestSuperstring(_ Ain: [String]) -> String { 12 var A = Ain 13 while A.count > 1 { 14 var maxC = 0 15 var newStr = "" 16 for var i in 0..<A.count { 17 for var j in 0..<A.count { 18 guard i != j else { 19 continue 20 } 21 if A[i].count == 1 { continue } 22 for var l in 1...A[i].count-1 { 23 if A[j].hasPrefix(A[i].suffix(l)) { 24 let n = A[i] + A[j].suffix(A[j].count - l) 25 let C = countSubstr(A, n) - n.count 26 if C > maxC { 27 maxC = C 28 newStr = n 29 } 30 } 31 } 32 } 33 } 34 if maxC == 0 { 35 newStr = A[0] + A[1] 36 } 37 A.removeAll(where: { newStr.contains($0) }) 38 A.append(newStr) 39 } 40 return A[0] 41 } 42 } 43 44 extension String { 45 func contains(_ find: String) -> Bool{ 46 return self.range(of: find) != nil 47 } 48 }
364ms
1 class Solution { 2 func shortestSuperstring(_ A: [String]) -> String { 3 var N:Int = A.count 4 5 // Populate overlaps 6 var overlaps:[[Int]] = [[Int]](repeating:[Int](repeating:0,count:N),count:N) 7 for i in 0..<N 8 { 9 for j in 0..<N 10 { 11 if i != j 12 { 13 var m:Int = min(A[i].count, A[j].count) 14 for k in (0...m).reversed() 15 { 16 if A[i].hasSuffix(A[j].substring(0, k)) 17 { 18 overlaps[i][j] = k 19 break 20 } 21 } 22 } 23 } 24 } 25 // dp[mask][i] = most overlap with mask, ending with ith element 26 var dp:[[Int]] = [[Int]](repeating:[Int](repeating:0,count:N),count:1<<N) 27 var parent:[[Int]] = [[Int]](repeating:[Int](repeating:-1,count:N),count:1<<N) 28 for mask in 0..<(1<<N) 29 { 30 for bit in 0..<N 31 { 32 if ((mask >> bit) & 1) > 0 33 { 34 // Let\'s try to find dp[mask][bit]. Previously, we had 35 // a collection of items represented by pmask. 36 var pmask:Int = mask ^ (1 << bit) 37 if pmask == 0 {continue} 38 for i in 0..<N 39 { 40 if ((pmask >> i) & 1) > 0 41 { 42 // For each bit i in pmask, calculate the value 43 // if we ended with word i, then added word \'bit\'. 44 var val:Int = dp[pmask][i] + overlaps[i][bit] 45 if val > dp[mask][bit] 46 { 47 dp[mask][bit] = val 48 parent[mask][bit] = i 49 } 50 } 51 } 52 } 53 } 54 } 55 // # Answer will have length sum(len(A[i]) for i) - max(dp[-1]) 56 // Reconstruct answer, first as a sequence \'perm\' representing 57 // the indices of each word from left to right. 58 var perm:[Int] = [Int](repeating:0,count:N) 59 var seen:[Bool] = [Bool](repeating:false,count:N) 60 var t:Int = 0 61 var mask:Int = (1 << N) - 1 62 63 // p: the last element of perm (last word written left to right) 64 var p:Int = 0 65 for j in 0..<N 66 { 67 if dp[(1<<N) - 1][j] > dp[(1<<N) - 1][p] 68 { 69 p = j 70 } 71 } 72 73 // Follow parents down backwards path that retains maximum overlap 74 while (p != -1) 75 { 76 perm[t] = p 77 t += 1 78 seen[p] = true 79 var p2:Int = parent[mask][p] 80 mask ^= 1 << p 81 p = p2 82 } 83 84 // Reverse perm 85 for i in 0..<(t/2) 86 { 87 var v:Int = perm[i] 88 perm[i] = perm[t-1-i] 89 perm[t-1-i] = v 90 } 91 92 // Fill in remaining words not yet added 93 for i in 0..<N 94 { 95 if !seen[i] 96 { 97 perm[t] = i 98 t += 1 99 } 100 } 101 102 // Reconstruct final answer given perm 103 var ans:String = String(A[perm[0]]) 104 for i in 1..<N 105 { 106 var overlap:Int = overlaps[perm[i-1]][perm[i]] 107 ans.append(A[perm[i]].substring(overlap)) 108 } 109 return ans 110 } 111 } 112 113 extension String { 114 // 截取字符串:从index到结束处 115 // - Parameter index: 开始索引 116 // - Returns: 子字符串 117 func substring(_ index: Int) -> String { 118 let theIndex = self.index(self.endIndex, offsetBy: index - self.count) 119 return String(self[theIndex..<endIndex]) 120 } 121 122 // 截取字符串:指定索引和字符数 123 // - begin: 开始截取处索引 124 // - count: 截取的字符数量 125 func substring(_ begin:Int,_ count:Int) -> String { 126 let start = self.index(self.startIndex, offsetBy: max(0, begin)) 127 let end = self.index(self.startIndex, offsetBy: min(self.count, begin + count)) 128 return String(self[start..<end]) 129 } 130 }
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