[Swift]LeetCode304.二维区域和检索 - 矩阵不可变 | Range Sum Q
发布时间:2020-12-14 05:06:38 所属栏目:百科 来源:网络整理
导读:Given a 2D matrix? matrix ,find the sum of the elements inside the rectangle defined by its upper left corner ( row 1,? col 1) and lower right corner ( row 2,? col 2). The above rectangle (with the red border) is defined by (row1,col1) =?(
Given a 2D matrix?matrix,find the sum of the elements inside the rectangle defined by its upper left corner (row1,?col1) and lower right corner (row2,?col2). The above rectangle (with the red border) is defined by (row1,col1) =?(2,1)and (row2,col2) =?(4,3),which contains sum =?8. Example: Given matrix = [ [3,1,4,2],[5,6,3,2,1],[1,5],[4,7],5] ] sumRegion(2,3) -> 8 sumRegion(1,2) -> 11 sumRegion(1,4) -> 12 Note:
给定一个二维矩阵,计算其子矩形范围内元素的总和,该子矩阵的左上角为 (row1,?col1) ,右下角为 (row2,?col2)。 上图子矩阵左上角?(row1,1)?,右下角(row2,3),该子矩形内元素的总和为 8。 示例: 给定 matrix = [ [3,5] ] sumRegion(2,4) -> 12 说明:
140ms 1 class NumMatrix { 2 3 var matrix: [[Int]] 4 var sumMatrix = [[Int]]() 5 6 init(_ matrix: [[Int]]) { 7 self.matrix = matrix 8 sumMatrix = matrix 9 let m = matrix.count 10 if m == 0 { return } 11 let n = matrix[0].count 12 13 for i in 0 ..< m { 14 for j in 1 ..< n { 15 sumMatrix[i][j] = sumMatrix[i][j - 1] + sumMatrix[i][j] 16 } 17 } 18 for j in 0 ..< n { 19 for i in 1 ..< m { 20 sumMatrix[i][j] = sumMatrix[i - 1][j] + sumMatrix[i][j] 21 } 22 23 } 24 } 25 26 func sumRegion(_ row1: Int,_ col1: Int,_ row2: Int,_ col2: Int) -> Int { 27 if row1 == 0 && col1 == 0 { 28 return sumMatrix[row2][col2] 29 } else if row1 == 0 { 30 return sumMatrix[row2][col2] - sumMatrix[row2][col1 - 1] 31 } else if col1 == 0 { 32 return sumMatrix[row2][col2] - sumMatrix[row1 - 1][col2] 33 } else { 34 return sumMatrix[row2][col2] - sumMatrix[row1 - 1][col2] - sumMatrix[row2][col1 - 1] + sumMatrix[row1 - 1][col1 - 1] 35 } 36 37 } 38 } 39 40 /** 41 * Your NumMatrix object will be instantiated and called as such: 42 * let obj = NumMatrix(matrix) 43 * let ret_1: Int = obj.sumRegion(row1,col1,row2,col2) 44 */ 45 180ms 1 class NumMatrix { 2 3 let _matrix : [[Int]] 4 var sums : [[Int]] 5 6 init(_ matrix: [[Int]]) { 7 _matrix = matrix 8 sums = matrix 9 10 if matrix.isEmpty { 11 return 12 } 13 14 for i in 0..<matrix.count { 15 for j in 0..<matrix[0].count { 16 if i == 0 && j == 0 { 17 continue 18 } 19 if i > 0 && j > 0 { 20 sums[i][j] += sums[i-1][j] + sums[i][j-1] - sums[i-1][j-1] 21 } 22 if i == 0 { 23 sums[i][j] += sums[i][j-1] 24 } 25 26 if j == 0 { 27 sums[i][j] += sums[i-1][j] 28 } 29 } 30 } 31 32 } 33 34 @inline(__always) func sumRegion(_ row1: Int,_ col2: Int) -> Int { 35 if row1 == 0 && col1 == 0 { 36 return sums[row2][col2] 37 } 38 39 if row1 == 0 { 40 return sums[row2][col2] - sums[row2][col1-1] 41 } 42 43 if col1 == 0 { 44 return sums[row2][col2] - sums[row1-1][col2] 45 } 46 47 return sums[row2][col2] - sums[row2][col1-1] - sums[row1-1][col2] + sums[row1-1][col1-1] 48 } 49 } (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! |