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 from left to right.
- The first integer of each row is greater than the last integer of the previous row.
For example,
Consider the following matrix:
[ [1, 3, 5, 7], [10, 11, 16, 20], [23, 30, 34, 50] ]
Given target = 3
, return true
.
1 class Solution { 2 public: 3 bool searchMatrix(vector<vector<int>>& matrix, int target) { 4 if(matrix.size() == 0){ 5 return false; 6 } 7 if(matrix[0].size() == 0){ 8 return false; 9 } 10 11 int rowNumber = 0; 12 int colNumber = matrix[0].size()-1; 13 14 while(rowNumber < matrix.size() && colNumber >= 0){ 15 16 if(matrix[rowNumber][colNumber] > target){ 17 colNumber--; 18 }else if(matrix[rowNumber][colNumber] < target){ 19 rowNumber++; 20 }else{ 21 return true; 22 } 23 } 24 return false; 25 } 26 };