74. Search a 2D Matrix - cocoder39/coco39_LC GitHub Wiki
solution 1 O(lg mn) solution 2 O(lg m + lg n) = O(lg mn), so solution 1 is preferred
actually a 1d sorted array
bool searchMatrix(vector<vector<int>>& matrix, int target) {
int row = matrix.size();
if (row == 0) { // matrix is empty
return false;
}
int col = matrix[0].size();
if (col == 0) {
return false;
}
int start = 0;
int end = row * col - 1;
while(start + 1 < end){
int mid = start + (end - start) / 2;
int i = mid / col;
int j = mid % col;
if(matrix[i][j] > target){
end = mid;
} else if(matrix[i][j] < target){
start = mid;
} else{ //matrix[i][j] == target
return true;
}
}
if (matrix[start / col][start % col] == target || matrix[end / col][end % col] == target) {
return true;
}
return false;
}
public boolean searchMatrix(int[][] matrix, int target) {
if (matrix == null || matrix.length == 0 || matrix[0].length == 0) {
return false;
}
int low_row = 0;
int high_row = matrix.length - 1;
while (high_row - 1 > low_row) {
int mid = low_row + (high_row - low_row) / 2;
if (matrix[mid][0] > target) {
high_row = mid;
} else {
low_row = mid;
}
}
int row = matrix[high_row][0] <= target ? high_row : low_row;
int low_col = 0;
int high_col = matrix[0].length - 1;
while (high_col - low_col > 1) {
int mid = low_col + (high_col - low_col) / 2;
if (matrix[row][mid] > target) {
high_col = mid;
} else {
low_col = mid;
}
}
return matrix[row][high_col] == target || matrix[row][low_col] == target;
}