240. Search a 2D Matrix II - Medium
阿新 • • 發佈:2018-12-05
Write an efficient algorithm that searches for a value in an m x n matrix. This matrix has the following properties:
- Integers in each row are sorted in ascending from left to right.
- Integers in each column are sorted in ascending from top to bottom.
Example:
Consider the following matrix:
[ [1, 4, 7, 11, 15], [2, 5, 8, 12, 19], [3, 6, 9, 16, 22], [10, 13, 14, 17, 24], [18, 21, 23, 26, 30] ]
Given target = 5
, return true
.
Given target = 20
, return false
.
觀察到,左下角的數字,向上遞減,向右遞增,可以從左下角開始查詢,迴圈成立條件是陣列下標不越界。如果 當前數 < target,向右查詢;如果 當前數 < target,向上查詢。
time: O(M+N), space: O(1)
class Solution { public boolean searchMatrix(int[][] matrix, int target) { if(matrix == null || matrix.length == 0 || matrix[0].length == 0) return false; int row = matrix.length - 1, col = 0; while(row >= 0 && col <= matrix[0].length - 1) {if(matrix[row][col] == target) return true; if(matrix[row][col] > target) row--; else col++; } return false; } }