#include <iostream> #include <set> #include <vector> void flip(std::set<int> &s, int e) { auto iterator = s.find(e); if (iterator == s.cend()) { s.insert(e); } else { s.erase(iterator); } } int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); int n, m, q; std::cin >> n >> m >> q; std::vector<std::set<int>> cols, rows; cols.resize(n + 2); rows.resize(n + 2); for (int i = 0; i < m; ++i) { int x1, y1, x2, y2; std::cin >> x1 >> y1 >> x2 >> y2; for (int row = x1; row <= x2; ++row) { for (int y: {y1, y2 + 1}) { flip(rows[row], y); } } for (int col = y1; col <= y2; ++col) { for (int x: {x1, x2 + 1}) { flip(cols[col], x); } } } std::set<int> rowsFullOfOnes, rowsFullOfZeros; std::set<int> colsFullOfOnes, colsFullOfZeros; std::vector<int> onesPerColumn, onesPerRow; onesPerColumn.resize(n + 1); onesPerRow.resize(n + 1); for (int col = 1; col <= n; ++col) { int cur = 1; bool ones = false; for (auto row: cols[col]) { if (ones) { onesPerColumn[col] += row - cur; } ones = not ones; cur = row; } if (onesPerColumn[col] == n) colsFullOfOnes.insert(col); if (onesPerColumn[col] == 0) colsFullOfZeros.insert(col); } long long numberOfOnes = 0; for (int row = 1; row <= n; ++row) { int cur = 1; bool ones = false; for (auto col: rows[row]) { if (ones) { onesPerRow[row] += col - cur; } ones = not ones; cur = col; } if (onesPerRow[row] == n) rowsFullOfOnes.insert(row); if (onesPerRow[row] == 0) rowsFullOfZeros.insert(row); numberOfOnes += onesPerRow[row]; } for (int round = 0; round <= q; ++round) { long long count = 0; long long excluded = 0; bool areOnesExcluded; if (not rowsFullOfOnes.empty()) { excluded = (long long)rowsFullOfOnes.size() * (long long)colsFullOfOnes.size(); areOnesExcluded = true; } else { excluded = (long long)rowsFullOfZeros.size() * (long long)colsFullOfZeros.size(); areOnesExcluded = false; } if (areOnesExcluded) { count = std::min(numberOfOnes - excluded, n * n - numberOfOnes); } else { count = std::min(numberOfOnes, n * n - numberOfOnes - excluded); } std::cout << count << std::endl; if (round == q) { break; } int x, y; std::cin >> x >> y; int previousNumberOfOnesInRow = onesPerRow[x]; for (int col: {y, y + 1}) { flip(rows[x], col); } for (int row: {x, x + 1}) { flip(cols[y], row); } { int cur = 1; bool ones = false; onesPerColumn[y] = 0; for (auto row: cols[y]) { if (ones) { onesPerColumn[y] += row - cur; } ones = not ones; cur = row; } if (onesPerColumn[y] == n) colsFullOfOnes.insert(y); else colsFullOfOnes.erase(y); if (onesPerColumn[y] == 0) colsFullOfZeros.insert(y); else colsFullOfZeros.erase(y); } { int cur = 1; bool ones = false; onesPerRow[x] = 0; for (auto col: rows[x]) { if (ones) { onesPerRow[x] += col - cur; } ones = not ones; cur = col; } if (onesPerRow[x] == n) rowsFullOfOnes.insert(x); else rowsFullOfOnes.erase(x); if (onesPerRow[x] == 0) rowsFullOfZeros.insert(y); else rowsFullOfZeros.erase(x); } if (previousNumberOfOnesInRow < onesPerRow[x]) { ++numberOfOnes; } else { --numberOfOnes; } } return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 | #include <iostream> #include <set> #include <vector> void flip(std::set<int> &s, int e) { auto iterator = s.find(e); if (iterator == s.cend()) { s.insert(e); } else { s.erase(iterator); } } int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); int n, m, q; std::cin >> n >> m >> q; std::vector<std::set<int>> cols, rows; cols.resize(n + 2); rows.resize(n + 2); for (int i = 0; i < m; ++i) { int x1, y1, x2, y2; std::cin >> x1 >> y1 >> x2 >> y2; for (int row = x1; row <= x2; ++row) { for (int y: {y1, y2 + 1}) { flip(rows[row], y); } } for (int col = y1; col <= y2; ++col) { for (int x: {x1, x2 + 1}) { flip(cols[col], x); } } } std::set<int> rowsFullOfOnes, rowsFullOfZeros; std::set<int> colsFullOfOnes, colsFullOfZeros; std::vector<int> onesPerColumn, onesPerRow; onesPerColumn.resize(n + 1); onesPerRow.resize(n + 1); for (int col = 1; col <= n; ++col) { int cur = 1; bool ones = false; for (auto row: cols[col]) { if (ones) { onesPerColumn[col] += row - cur; } ones = not ones; cur = row; } if (onesPerColumn[col] == n) colsFullOfOnes.insert(col); if (onesPerColumn[col] == 0) colsFullOfZeros.insert(col); } long long numberOfOnes = 0; for (int row = 1; row <= n; ++row) { int cur = 1; bool ones = false; for (auto col: rows[row]) { if (ones) { onesPerRow[row] += col - cur; } ones = not ones; cur = col; } if (onesPerRow[row] == n) rowsFullOfOnes.insert(row); if (onesPerRow[row] == 0) rowsFullOfZeros.insert(row); numberOfOnes += onesPerRow[row]; } for (int round = 0; round <= q; ++round) { long long count = 0; long long excluded = 0; bool areOnesExcluded; if (not rowsFullOfOnes.empty()) { excluded = (long long)rowsFullOfOnes.size() * (long long)colsFullOfOnes.size(); areOnesExcluded = true; } else { excluded = (long long)rowsFullOfZeros.size() * (long long)colsFullOfZeros.size(); areOnesExcluded = false; } if (areOnesExcluded) { count = std::min(numberOfOnes - excluded, n * n - numberOfOnes); } else { count = std::min(numberOfOnes, n * n - numberOfOnes - excluded); } std::cout << count << std::endl; if (round == q) { break; } int x, y; std::cin >> x >> y; int previousNumberOfOnesInRow = onesPerRow[x]; for (int col: {y, y + 1}) { flip(rows[x], col); } for (int row: {x, x + 1}) { flip(cols[y], row); } { int cur = 1; bool ones = false; onesPerColumn[y] = 0; for (auto row: cols[y]) { if (ones) { onesPerColumn[y] += row - cur; } ones = not ones; cur = row; } if (onesPerColumn[y] == n) colsFullOfOnes.insert(y); else colsFullOfOnes.erase(y); if (onesPerColumn[y] == 0) colsFullOfZeros.insert(y); else colsFullOfZeros.erase(y); } { int cur = 1; bool ones = false; onesPerRow[x] = 0; for (auto col: rows[x]) { if (ones) { onesPerRow[x] += col - cur; } ones = not ones; cur = col; } if (onesPerRow[x] == n) rowsFullOfOnes.insert(x); else rowsFullOfOnes.erase(x); if (onesPerRow[x] == 0) rowsFullOfZeros.insert(y); else rowsFullOfZeros.erase(x); } if (previousNumberOfOnesInRow < onesPerRow[x]) { ++numberOfOnes; } else { --numberOfOnes; } } return 0; } |