Given a matrix in which each row and each column is sorted, write a method to find an element in it.
第一反应是取矩阵中间元素折半,可以去掉1/4的区域,不过这样一来剩下的就是两个矩阵了。虽然也可以解决问题,有些复杂。简单一些,O(m+n)的方案吧。
注意二维数组做参数的用法,折腾了好几次,有时间再看看有没有更好的方式。
bool findInMatrix(int A[][5], int rows, int cols, int target) { int i = 0; int j = cols - 1; while (i < rows && j >= 0) { if (A[i][j] == target) { return true; } else if (A[i][j] > target) { --j; } else { ++i; } } return false; } int _tmain(int argc, _TCHAR* argv[]) { int rows = 3, cols = 5; int A[3][5] = { {1, 8, 12, 20, 30}, {4, 9, 13, 25, 32}, {6, 11,19, 28, 40}, }; cout << "Number 0 " << (findInMatrix(A, rows, cols, 5) ? "found" : "not found") << endl; cout << "Number 19 " << (findInMatrix(A, rows, cols, 19) ? "found" : "not found") << endl; cout << "Number 25 " << (findInMatrix(A, rows, cols, 25) ? "found" : "not found") << endl; cout << "Number 40 " << (findInMatrix(A, rows, cols, 40) ? "found" : "not found") << endl; cout << "Number 45 " << (findInMatrix(A, rows, cols, 45) ? "found" : "not found") << endl; return 0; }