// Krzysztof Łukasiewicz // O(n log n + q) solution //#pragma GCC optimize("O3") //#pragma GCC optimize("Ofast") //#pragma GCC optimize("unroll-loops") //#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #include <bits/stdc++.h> using namespace std; namespace debug { template <class c> struct rge { c b, e; }; template <class c> rge<c> range(c i, c j) { return rge<c>{i, j}; } template <class c> char spk(...); template <class c> auto spk(c *a) -> decltype(cerr << *a, 0); struct stream { ~stream() { cerr << endl; } template <class c> typename enable_if<sizeof spk<c>(0) != 1, stream &>::type operator<<(c i) { cerr << boolalpha << i; return *this; } template <class c> typename enable_if<sizeof spk<c>(0) == 1, stream &>::type operator<<(c i) { return *this << range(begin(i), end(i)); } template <class a, class b> stream &operator<<(pair<a, b> p) { return *this << "(" << p.first << ", " << p.second << ")"; } template <class c> stream &operator<<(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; it++) *this << ", " + 2 * (it == d.b) << *it; return *this << "]"; } stream &_dbg(const string &s, int i, int b) { return *this; } template <class c, class... cs> stream &_dbg(const string &s, int i, int b, c arg, cs... args) { if (i == (int)(s.size())) return (*this << ": " << arg); b += (s[i] == '(') + (s[i] == '[') + (s[i] == '{') - (s[i] == ')') - (s[i] == ']') - (s[i] == '}'); return (s[i] == ',' && b == 0) ? (*this << ": " << arg << " ")._dbg(s, i + 1, b, args...) : (s[i] == ' ' ? *this : *this << s[i]) ._dbg(s, i + 1, b, arg, args...); } }; } // namespace debug #ifdef DEBUG #define dout debug::stream() #define dbg(...) \ ((dout << "line:" << __LINE__ << " >> ") \ ._dbg(#__VA_ARGS__, 0, 0, __VA_ARGS__)) #else #define dout #define dbg(...) #endif // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ const int N = 3e5 + 7; vector<vector<int>> group; vector<int> computers; int group_id[N], ind[N]; int NewId() { int x = group.size(); group.push_back({}); computers.push_back(0); return x; } void Erase(int v) { if (group[group_id[v]].size() == 1) return; int g = group_id[v]; ind[group[g].back()] = ind[v]; swap(group[g][ind[v]], group[g].back()); group[g].pop_back(); g = NewId(); group_id[v] = g; group[g].push_back(v); ind[v] = 0; } void Init(int n) { iota(group_id, group_id + n + 1, 0); computers.resize(n + 1, 0); group.resize(n + 1, {}); fill(ind, ind + n + 1, 0); for (int i = 1; i <= n; i++) { group[i].push_back(i); } } void Union(int a, int b) { a = group_id[a]; b = group_id[b]; if (a == b) return; if (group[a].size() < group[b].size()) swap(a, b); computers[a] += computers[b]; for (int v : group[b]) { group_id[v] = a; ind[v] = group[a].size(); group[a].push_back(v); } group[b].clear(); } void RemoveComputer(int v) { computers[group_id[v]]--; Erase(v); } bool IsFull(int v) { return computers[group_id[v]] == group[group_id[v]].size(); } void AddComputer(int a, int b) { Union(a, b); computers[group_id[a]]++; } void Query(int v) { if (computers[group_id[v]] == 0) { cout << 0; } else if (computers[group_id[v]] == group[group_id[v]].size()) { cout << 1; } else { cout << '?'; } } int main() { cin.tie(nullptr); ios_base::sync_with_stdio(false); int n, q; cin >> n >> q; Init(n); while (q--) { char c; cin >> c; if (c == '?') { int v; cin >> v; Query(v); } else if (c == '+') { int a, b; cin >> a >> b; AddComputer(a, b); } else { int v; cin >> v; RemoveComputer(v); } } cout << '\n'; 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 | // Krzysztof Łukasiewicz // O(n log n + q) solution //#pragma GCC optimize("O3") //#pragma GCC optimize("Ofast") //#pragma GCC optimize("unroll-loops") //#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #include <bits/stdc++.h> using namespace std; namespace debug { template <class c> struct rge { c b, e; }; template <class c> rge<c> range(c i, c j) { return rge<c>{i, j}; } template <class c> char spk(...); template <class c> auto spk(c *a) -> decltype(cerr << *a, 0); struct stream { ~stream() { cerr << endl; } template <class c> typename enable_if<sizeof spk<c>(0) != 1, stream &>::type operator<<(c i) { cerr << boolalpha << i; return *this; } template <class c> typename enable_if<sizeof spk<c>(0) == 1, stream &>::type operator<<(c i) { return *this << range(begin(i), end(i)); } template <class a, class b> stream &operator<<(pair<a, b> p) { return *this << "(" << p.first << ", " << p.second << ")"; } template <class c> stream &operator<<(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; it++) *this << ", " + 2 * (it == d.b) << *it; return *this << "]"; } stream &_dbg(const string &s, int i, int b) { return *this; } template <class c, class... cs> stream &_dbg(const string &s, int i, int b, c arg, cs... args) { if (i == (int)(s.size())) return (*this << ": " << arg); b += (s[i] == '(') + (s[i] == '[') + (s[i] == '{') - (s[i] == ')') - (s[i] == ']') - (s[i] == '}'); return (s[i] == ',' && b == 0) ? (*this << ": " << arg << " ")._dbg(s, i + 1, b, args...) : (s[i] == ' ' ? *this : *this << s[i]) ._dbg(s, i + 1, b, arg, args...); } }; } // namespace debug #ifdef DEBUG #define dout debug::stream() #define dbg(...) \ ((dout << "line:" << __LINE__ << " >> ") \ ._dbg(#__VA_ARGS__, 0, 0, __VA_ARGS__)) #else #define dout #define dbg(...) #endif // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ const int N = 3e5 + 7; vector<vector<int>> group; vector<int> computers; int group_id[N], ind[N]; int NewId() { int x = group.size(); group.push_back({}); computers.push_back(0); return x; } void Erase(int v) { if (group[group_id[v]].size() == 1) return; int g = group_id[v]; ind[group[g].back()] = ind[v]; swap(group[g][ind[v]], group[g].back()); group[g].pop_back(); g = NewId(); group_id[v] = g; group[g].push_back(v); ind[v] = 0; } void Init(int n) { iota(group_id, group_id + n + 1, 0); computers.resize(n + 1, 0); group.resize(n + 1, {}); fill(ind, ind + n + 1, 0); for (int i = 1; i <= n; i++) { group[i].push_back(i); } } void Union(int a, int b) { a = group_id[a]; b = group_id[b]; if (a == b) return; if (group[a].size() < group[b].size()) swap(a, b); computers[a] += computers[b]; for (int v : group[b]) { group_id[v] = a; ind[v] = group[a].size(); group[a].push_back(v); } group[b].clear(); } void RemoveComputer(int v) { computers[group_id[v]]--; Erase(v); } bool IsFull(int v) { return computers[group_id[v]] == group[group_id[v]].size(); } void AddComputer(int a, int b) { Union(a, b); computers[group_id[a]]++; } void Query(int v) { if (computers[group_id[v]] == 0) { cout << 0; } else if (computers[group_id[v]] == group[group_id[v]].size()) { cout << 1; } else { cout << '?'; } } int main() { cin.tie(nullptr); ios_base::sync_with_stdio(false); int n, q; cin >> n >> q; Init(n); while (q--) { char c; cin >> c; if (c == '?') { int v; cin >> v; Query(v); } else if (c == '+') { int a, b; cin >> a >> b; AddComputer(a, b); } else { int v; cin >> v; RemoveComputer(v); } } cout << '\n'; return 0; } |