Given a square array of integers A
,we want the minimum sum of a falling path through A
.
A falling path starts at any element in the first row,and chooses one element from each row. The next row‘s choice must be in a column that is different from the prevIoUs row‘s column by at most one.
Example 1:
input: [[1,2,3],[4,5,6],[7,8,9]]Output: 12 Explanation: The possible falling paths are:
[1,4,7],[1,8],9]
[2,[2,9],6,9]
[3,[3,9]
The falling path with the smallest sum is [1,7]
,so the answer is 12
.
Note:
1 <= A.length == A[0].length <= 100
-100 <= A[i][j] <= 100
给定一个方形整数数组 A
,我们想要得到通过 A
的下降路径的最小和。
下降路径可以从第一行中的任何元素开始,并从每一行中选择一个元素。在下一行选择的元素和当前行所选元素最多相隔一列。
示例:
输入:[[1,9]]输出:12解释:可能的下降路径有:
[1,9]
和最小的下降路径是 [1,7]
,所以答案是 12
。
提示:
1 <= A.length == A[0].length <= 100
-100 <= A[i][j] <= 100
196ms
1 class Solution { 2 func minFallingPathSum(_ A: [[Int]]) -> Int { 3 let m:Int = A[0].count 4 var dp:[Int] = A[0] 5 for j in 0..<(A.count - 1) 6 { 7 var row:[Int] = A[j] 8 var ndp:[Int] = [Int](repeating: Int.max / 2,count: m) 9 for i in 0..<m10 {11 for k in -1...112 {13 if i+k >= 0 && i+k < m14 {15 ndp[i + k] = min(ndp[i + k],dp[i] + A[j + 1][i + k])16 }17 }18 }19 dp = ndp20 }21 var ret:Int = Int.max22 for v in dp23 {24 ret = min(ret,v)25 }26 return ret27 }28 }总结
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