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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 k 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 }