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| 1 | +#include <vector> |
| 2 | +#include <string> |
| 3 | +#include <utility> |
| 4 | +#include <iostream> |
| 5 | +#include <algorithm> |
| 6 | +#include <limits> |
| 7 | +#include <numeric> |
| 8 | +using namespace std; |
| 9 | + |
| 10 | +template<typename T> |
| 11 | +ostream& operator << (ostream& out, const vector<T>& vi) { |
| 12 | + out << "{"; |
| 13 | + if (vi.size() != 0) |
| 14 | + out << vi[0]; |
| 15 | + for (int i = 1; i < vi.size(); i++) |
| 16 | + out << ", " << vi[i]; |
| 17 | + out << "}"; |
| 18 | + return out; |
| 19 | +} |
| 20 | + |
| 21 | +bool err = false; |
| 22 | + |
| 23 | +class Solution { |
| 24 | + public: |
| 25 | + int maximalRectangle(vector<vector<char>>& matrix) { |
| 26 | + if (matrix.size() == 0 || matrix[0].size() == 0) return 0; |
| 27 | + int rows = matrix.size(), sz = matrix[0].size(); |
| 28 | + int res = 0; |
| 29 | + vector<int> ht(sz, 0), stack; |
| 30 | + stack.reserve(sz); |
| 31 | + for (int i = 0; i < rows; i++) { |
| 32 | + for (int j = 0; j < sz; j++) { |
| 33 | + if (matrix[i][j] == '0') |
| 34 | + ht[j] = 0; |
| 35 | + else |
| 36 | + ht[j]++; |
| 37 | + while (stack.size() > 0 && ht[stack.back()] > ht[j]) { |
| 38 | + int left, height = ht[stack.back()]; |
| 39 | + stack.pop_back(); |
| 40 | + if (stack.size() == 0) |
| 41 | + left = -1; |
| 42 | + else |
| 43 | + left = stack.back(); |
| 44 | + int area = height * (j-left-1); |
| 45 | + if (area > res) res = area; |
| 46 | + } |
| 47 | + stack.push_back(j); |
| 48 | + } |
| 49 | + while (stack.size() > 0) { |
| 50 | + int left, height = ht[stack.back()]; |
| 51 | + stack.pop_back(); |
| 52 | + if (stack.size() == 0) |
| 53 | + left = -1; |
| 54 | + else |
| 55 | + left = stack.back(); |
| 56 | + int area = height * (sz-left-1); |
| 57 | + if (area > res) res = area; |
| 58 | + } |
| 59 | + } |
| 60 | + return res; |
| 61 | + } |
| 62 | +}; |
| 63 | + |
| 64 | +void do_test (const vector<vector<char>>& h, int res) { |
| 65 | + vector<vector<char>> copy(h); |
| 66 | + int ret = Solution().maximalRectangle(copy); |
| 67 | + if (ret != res) { |
| 68 | + err = true; |
| 69 | + cout << "input: " << copy << "\n" |
| 70 | + << "result: " << ret << ", expected: " << res << "\n\n"; |
| 71 | + } |
| 72 | +} |
| 73 | + |
| 74 | +int main() { |
| 75 | + do_test ({{'1'}}, 1); |
| 76 | + do_test ({{'0','1','1','0'},{'1','1','1','1'}}, 4); |
| 77 | + do_test ({{'0','1','1','0'},{'1','1','1','0'}}, 4); |
| 78 | + do_test ({{'0','1','1','1'},{'1','1','1','1'}}, 6); |
| 79 | + do_test ({{'0','0','1','0'},{'1','1','1','1'}}, 4); |
| 80 | + if (!err) |
| 81 | + cout << "All tests passed!\n"; |
| 82 | + |
| 83 | + return 0; |
| 84 | +} |
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