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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 00000 11011 01000 11111 11011 K=2, có 2 hàng toàn 1 00100 11111 01100 11011 11111 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 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 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 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 #include <stdio.h> #define MAX_N 100 #define MAX_M 20 int rowValue[MAX_N]; int zeroCnt[MAX_N]; //Number of "0" cell of this row int duplicateCnt[MAX_N]; //Number of rows that are the same int valNum = 0; int main() { int T; int N, M, K; scanf("%d", &T); int tmpDigit, tmpVal, tmpCnt0; int j; for (int tc = 1; tc <= T; tc++) { scanf("%d%d%d", &N, &M, &K); valNum = 0; for (int i = 0; i < N; i++) { tmpVal = tmpCnt0 = 0; for (j = 0; j < M; j++) { scanf("%d", &tmpDigit); tmpVal = (tmpVal << 1) | tmpDigit; if (tmpDigit == 0) tmpCnt0++; } for (j = 0; j < valNum; j++) { if (tmpVal == rowValue[j]) { //There are rows that are same with this row, increase duplicate count duplicateCnt[j]++; break; } } if (j == valNum) { //There is not any row that are same with this row, create new row value rowValue[valNum] = tmpVal; zeroCnt[valNum] = tmpCnt0; duplicateCnt[valNum++] = 1; } } int Answer = 0; for (j = 0; j < valNum; j++) { if (zeroCnt[j] > K || (K - zeroCnt[j]) & 1) //The rows that cannot change to all "1" within K move continue; if (duplicateCnt[j] > Answer) Answer = duplicateCnt[j]; } printf("Case #%d %d\n", tc, Answer); } return 0; }
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