[Swift]LeetCode119. 杨辉三角 II | Pascal's Triangle II

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Given a non-negative index k where k ≤ 33, return the kth index row of the Pascal's triangle.git

Note that the row index starts from 0.github


In Pascal's triangle, each number is the sum of the two numbers directly above it.数组

Example:微信

Input: 3
Output: [1,3,3,1]

给定一个非负索引 k,其中 k ≤ 33,返回杨辉三角的第 行。app

在杨辉三角中,每一个数是它左上方和右上方的数的和。spa

示例:code

输入: 3
输出: [1,3,3,1]

 1 class Solution {
 2     func getRow(_ rowIndex: Int) -> [Int] {
 3         //滚动数组
 4         var arr:Array = Array(repeating: 1, count: (rowIndex+1))    
 5         for i in 0..<rowIndex
 6         {
 7             // 第一个元素 不须要计算 因此j从 1 开始 
 8             // i+1 表明最后一个元素:  < (i+1) 表示最后一个元素不用计算
 9             for j in (1 ..< (i+1)).reversed() 
10             {
11                 // 从后往前计算, 防止覆盖
12                 arr[j] =  arr[j] + arr[j - 1]
13             }        
14         }
15          return arr
16     }
17 }

8mshtm

 1 class Solution {
 2     func getRow(_ rowIndex: Int) -> [Int] {
 3         var memo: [[Int]] = [[1], [1, 1]]
 4         if rowIndex <= 1 { return memo[rowIndex] }
 5         return calculateRows(memo, rowIndex)
 6     }
 7     
 8     func calculateRows (_ memo: [[Int]], _ rowIndex: Int) -> [Int] {
 9         if memo.count-1 == rowIndex { return memo[rowIndex] }
10         var dp = memo
11         var prevArr = dp[dp.count-1]
12         var arr = Array(repeating: 0, count: prevArr.count+1)
13         arr[0] = 1
14         arr[arr.count-1] = 1
15         
16         for i in 1..<arr.count-1 {
17             arr[i] = prevArr[i-1]+prevArr[i]
18         }
19         
20         dp.append(arr)
21         return calculateRows(dp, rowIndex)
22     }
23 }

8msblog

 1 class Solution {
 2     func getRow(_ rowIndex: Int) -> [Int] {
 3         if rowIndex == 0 {
 4             return [1]
 5         }
 6         var result =  [Int](repeatElement(0, count: rowIndex + 1))
 7         result[0] = 1
 8         for i in 1...rowIndex {
 9             var j = i
10             while j >= 1 {
11                 result[j] += result[j - 1]
12                 j -= 1
13             }
14         }
15         return result
16     }
17 }
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