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Level 7 Đảo Cột Trong ma trận nhị phân, phép đảo cột của ma trận là việc thay thế các giá trị của cột đó từ 0 -> 1 và từ 1 -> 0. Cho ma trận nhị phân NxM (N <= 100, M <= 20), hỏi sau K lần đảo cột thì số hàng gồm toàn số 1 nhiều nhất có thể thu được là bao nhiêu. (Yêu cầu phải đảo cột đúng K lần và một cột có thể được đảo nhiều lần) Ví dụ Với ví dụ bên, nếu K = 1, ta sẽ có kết quả lớn nhất khi đảo cột thứ 2 và thu được 1 hàng gồm toàn số 1 là hàng thứ 4. Nếu K = 2, kết quả thu được là 2 khi đảo cột thứ 2 và cột thứ 3. 0 1 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 K=1, có 1 hàng toàn 1 0 0 0 0 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 1 K=2, có 2 hàng toàn 1 0 0 1 0 0 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 Input: Cho 3 số N, M, K Tiếp theo là ma trận NxM Output: In ra số lượng hàng toàn 1 nhiều nhất định dạng như bên dưới Case #1 1 Case #2 2 Case #1 1 Case #2 2 Case #3 25 Case #4 16 Case #5 19 Case #6 29 Case #7 5 Case #8 1 Case #9 100 Case #10 100 10 5 5 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 5 5 2 0 1 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 50 10 21 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #include <iostream> using namespace std; int T, n, m, k, result; int arr[101][21], temp[101][21]; bool visit[101]; void solveProblem(){ for(int i = 0; i < n; i++){ if(visit[i]) continue; visit[i] = true; int cnt = 1; for(int j = i + 1; j < n; j++){ if(visit[j]) continue; bool isSame = true; for(int t = 0; t < m; t++){ if(arr[i][t] != arr[j][t]){ isSame = false; break; } } if(isSame){ cnt++; visit[j] = true; } } int c0 = 0; for(int j = 0; j < m; j++){ if(!arr[i][j]) c0++; } if((c0 <= k && (k-c0) % 2 == 0)){ if(result < cnt) result = cnt; } } } int main(){ freopen("input.txt", "r", stdin); cin >> T; for(int tc = 1; tc <= T; tc++){ int c0 = 0, c1 = 0; // Input cin >> n >> m >> k; for(int i = 0; i < n; i++){ for(int j = 0; j < m; j++){ cin >> arr[i][j]; if(arr[i][j]) c1++; else c0++; } } // Initial result = 0; for(int i = 0; i < n; i++) visit[i] = false; // Solve Problem if((c1 == n*m && k%2 == 0) || (c0 == n*m && k >= m && (k-m)%2 == 0)){ result = n; } else if((c1 == n*m && k%2 == 1) || (c0 == n*m && k < m) || (c0 == n*m && k > m && (k-m)%2 == 1)){ result = 0; } else{ solveProblem(); } // Output cout << "Case #" << tc << " " << result << endl; } return 0; }
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