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
. bool searchMatrix(int** matrix, int matrixRowSize, int matrixColSize, int target) {
//start with the top right element and move along rows and columns based on target value
int i = 0, j = matrixColSize - 1;
while(i < matrixRowSize && j >= 0){
if(matrix[i][j] == target){
return true;
}else if(target < matrix[i][j]){
j--;
}else{
i++;
}
}
return false;
}
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