[Swift]LeetCode873. 最长的斐波那契子序列的长度 | Length of L

发布时间：2020-12-14 04:58:38 所属栏目：百科来源：网络整理

导读：A sequence? X_1,X_2,...,X_n ?is?fibonacci-like?if: n = 3 X_i + X_{i+1} = X_{i+2} ?for all? i + 2 = n Given a?strictly increasing?array? A ?of positive integers forming a sequence,find the?length?of the longest fibonacci-like subsequence of

A sequence?X_1,X_2,...,X_n?is?fibonacci-like?if:

n >= 3
X_i + X_{i+1} = X_{i+2}?for all?i + 2 <= n

Given a?strictly increasing?array?A?of positive integers forming a sequence,find the?length?of the longest fibonacci-like subsequence of?A.? If one does not exist,return 0.

(Recall that a subsequence is derived from another sequence?A?by?deleting any number of?elements (including none)?from?A,without changing the order of the remaining elements.? For example,?[3,5,8]?is a subsequence of?[3,4,6,7,8].)?

Example 1:

Input: [1,2,3,8]
Output: 5
Explanation:
The longest subsequence that is fibonacci-like: [1,8].

Example 2:

Input: [1,11,12,14,18]
Output: 3
Explanation:
The longest subsequence that is fibonacci-like:
[1,12],[3,14] or [7,18].?

Note:

3 <= A.length <= 1000
1 <= A[0] < A[1] < ... < A[A.length - 1] <= 10^9
(The time limit has been reduced by 50% for submissions in Java,C,and C++.)

如果序列?X_1,X_n?满足下列条件，就说它是?斐波那契式?的：

n >= 3
对于所有?i + 2 <= n，都有?X_i + X_{i+1} = X_{i+2}

给定一个严格递增的正整数数组形成序列，找到?A?中最长的斐波那契式的子序列的长度。如果一个不存在，返回??0 。

（回想一下，子序列是从原序列?A?中派生出来的，它从?A?中删掉任意数量的元素（也可以不删），而不改变其余元素的顺序。例如，?[3,8]?是?[3,8]?的一个子序列）?

示例 1：

输入: [1,8]
输出: 5
解释:
最长的斐波那契式子序列为：[1,8] 。

示例?2：

输入: [1,18]
输出: 3
解释:
最长的斐波那契式子序列有：
[1,12]，[3,14] 以及 [7,18] 。?

提示：

3 <= A.length <= 1000
1 <= A[0] < A[1] < ... < A[A.length - 1] <= 10^9
（对于以 Java，C，C++，以及?C# 的提交，时间限制被减少了 50%）

228ms

 1 class Solution {
 2     func lenLongestFibSubseq(_ A: [Int]) -> Int {
 3 
 4         var dic = [Int:Int]()
 5         for item in 0..<A.count{
 6             dic[A[item]] = item
 7         }
 8 
 9         var dp = [[Int]](repeating:[Int](repeating: 0,count: A.count),count: A.count)
10         var result = 0
11         for i in 0..<A.count {
12             for j in 0..<i{
13                 if A[i] - A[j] < A[j] && dic[A[i] - A[j]] != nil {
14                     dp[j][i] = dp[dic[A[i] - A[j]]!][j] + 1
15                     result = max(result,dp[j][i])
16                 }
17             }
18         }
19         return result > 0 ? result + 2 : 0
20     }
21 }

236ms

 1 class Solution {
 2     func lenLongestFibSubseq(_ A: [Int]) -> Int {
 3         var map = [Int: Int]()
 4         for (index,a) in A.enumerated() {
 5             map[a] = index
 6         }
 7         
 8         var result = 0
 9         var dp = [[Int]](repeating: [Int](repeating: 2,count: A.count)
10         for i in 0 ..< A.count {
11             for j in i+1 ..< A.count {
12                 let a = A[i],b = A[j],c = b - a
13                 if map[c] != nil {
14                     if map[c]! >= i {
15                         break
16                     }
17                     dp[i][j] = dp[map[c]!][i] + 1
18                     result = max(result,dp[i][j])
19                 }
20             }
21         }
22         
23         return result
24     }
25 }

368ms

 1 class Solution {
 2     func lenLongestFibSubseq(_ A: [Int]) -> Int {
 3         let N = A.count
 4         var indexMap = [Int: Int]()
 5         for i in 0..<N {
 6             indexMap[A[i]] = i
 7         }
 8         
 9         var longestMap = [Int: Int]()
10         var ans = 0
11         
12         for k in 0..<N {
13             for j in 0..<k {
14                 guard let i = indexMap[A[k] - A[j]] else {
15                     continue
16                 }
17                 if i < j {
18                     var temp = 0
19                     if let cand = longestMap[i * N + j] {
20                         temp = cand + 1
21                     } else {
22                         temp = 3
23                     }
24                     longestMap[j * N + k] = temp
25                     ans = max(ans,temp)
26                 }
27             }
28         }
29         
30         return ans >= 3 ? ans : 0
31     }
32 }

376ms

 1 class Solution {
 2     func lenLongestFibSubseq(_ A: [Int]) -> Int {
 3         var n = A.count,res = 0
 4         var dp = [[Int]](repeating: [Int](repeating: 2,count: n),count: n)
 5         var m = [Int: Int]()
 6         for i in 0..<n {
 7             m[A[i]] = i
 8         }
 9         for j in 1..<n {
10             for i in 0..<j {
11                 if let idx = m[A[j] - A[i]],idx < i {
12                     dp[i][j] = max(dp[i][j],dp[idx][i] + 1)
13                     res = max(res,dp[i][j])
14                 } 
15             }
16         }
17         return res
18     }
19 }

388ms

 1 class Solution {
 2     func lenLongestFibSubseq(_ A: [Int]) -> Int {
 3         let set = Set(A)
 4         var res = 0
 5         for i in 0 ..< A.count {
 6             for j in i + 1 ..< A.count {
 7                 var a = A[i]
 8                 var b = A[j]
 9                 var c = a + b
10                 var size = 2
11                 while set.contains(c) {
12                     size += 1
13                     res = max(res,size)
14                     a = b
15                     b = c
16                     c = a + b
17                 }   
18             }
19         }
20         return res
21     }
22 }

392ms

 1 class Solution {
 2     func lenLongestFibSubseq(_ A: [Int]) -> Int {
 3         let N = A.count
 4         if N <= 2 { return N }
 5         
 6         var map = [Int: Int]()
 7         for i in 0..<N { map[A[i]] = i }
 8 
 9         var res = 0
10         var dp = Array(repeating: Array(repeating: 2,count: N),count: N)
11         for i in (0..<N - 1).reversed() {
12             for j in (i + 1..<N) {
13                 if let k = map[A[i] + A[j]] {
14                     dp[i][j] = dp[j][k] + 1
15                     res = max(res,dp[i][j])
16                 }
17             }
18         }
19         return res
20     }
21 }

（编辑：李大同）

【声明】本站内容均来自网络，其相关言论仅代表作者个人观点，不代表本站立场。若无意侵犯到您的权利，请及时与联系站长删除相关内容!