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    [原]LeetCode -- Search a 2D Matrix II

    csharp25发表于 2015-11-21 10:37:35
    love 0
    题目描述:
    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.
    For 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.


    本题看起来是Search a 2D Matrix的扩展问题,其实和第一题的思路完全不一样。比较精简的思路是:
    1.从左下开始找,如果matrix[r,c](r为行,c为列) < target,c++;否则r--。
    2.直到r或c越界为止。




    实现代码:


    public class Solution {
        public bool SearchMatrix(int[,] matrix, int target) 
        {
            var rowLen = matrix.GetLength(0);
            var colLen = matrix.GetLength(1);
            
            var row = rowLen - 1;
            var col = 0;
            
            while(col <= colLen - 1 && row >= 0){
                if(matrix[row,col] == target){
                    return true;
                }
                else if(matrix[row,col] < target){
                    col ++;
                }
                else{
                    row --;
                }
            }
            return false;
        }
    
    
    }




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