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
.
class Solution { public boolean searchMatrix(int[][] matrix, int target) { if(matrix.length == 0) return false; int row = 0; int col = matrix[0].length - 1; while(row < matrix.length && col >=0){ int value = matrix[row][col]; if(matrix[row][col] == target) return true; else if(matrix[row][col] > target) col--; else row++; } return false; } }
反而更简单了,从右上角还是比较,target大就说明在下一row,target小就说明在前一column.同理也可以先比较左下角