#include <cstdio> #include <vector> #include <map> #include <set> #include <queue> #include <algorithm> #include <string> #include <sstream> #include <cmath> using namespace std; typedef vector<int> vi; typedef long long ll; typedef vector<ll> vll; typedef pair<int,int> pii; #define mp make_pair #define REP(i,n) for (int i=0,___=(n); i<___; ++i) #define FOR(i,a,b) for (int i=(a),___=(b); i<=___; ++i) #define FORD(i,a,b) for (int i=(a),___=(b); i>=___; --i) int read() { int n; scanf("%d", &n); return n; } ll readl() { ll n; scanf("%lld", &n); return n; } char readc() { static char s[32]; scanf("%s", s); return *s; } /////////////////////////////////////////////////// /// ZBIORY ROZŁĄCZNE template <int N> class FindUnion { int parent[N]; public: FindUnion() { for (int i=0; i<N; ++i) parent[i] = -1; } int Find(int x) { int result = x, tmp; while (parent[result] >= 0) result = parent[result]; while (x != result) { tmp = parent[x]; parent[x] = result; x = tmp; } return result; } void Union(int x, int y) { x = Find(x); y = Find(y); if (x == y) return; if (parent[x] < parent[y]) { parent[x] += parent[y]; parent[y] = x; } else { parent[y] += parent[x]; parent[x] = y; } } int Size(int x) { return -parent[Find(x)]; } }; int n; vector<set<int> > przel; vector<set<int> > przelPrev; vector<set<int> > notPrzel; vector<bool> canBeRoot; int findRoot() { REP(i, n) if (canBeRoot[i]) return i; return -1; } bool solve() { int root = findRoot(); if (root < 0) return false; // find cycles REP(i, n) { vector<bool> visited(n, false); queue<int> q; for (set<int>::iterator it = przel[i].begin(); it != przel[i].end(); ++it) { q.push(*it); visited[*it] = true; } while (!q.empty()) { int x = q.front(); q.pop(); if (x == i) return false; // cycle found if (notPrzel[i].count(x) > 0) return false; // i want x to be przel (indirect), but i dont want x to be przel (direct) for (set<int>::iterator it = przel[x].begin(); it != przel[x].end(); ++it) { if (visited[*it] == false) { q.push(*it); visited[*it] = true; } } } } // topological sort vector<int> cnt(n, 0); REP(i, n) { for (set<int>::iterator it = przel[i].begin(); it != przel[i].end(); ++it) { cnt[*it]++; } } cnt[root] = n+n; vector<int> order; queue<int> q; REP(i, n) if (cnt[i] == 0) q.push(i); while (!q.empty()) { int x = q.front(); q.pop(); order.push_back(x); for (set<int>::iterator it = przel[x].begin(); it != przel[x].end(); ++it) { if (0 == --cnt[*it]) { q.push(*it); } } } // mamy kolejnosc, robimy zbior drzew vector<int> res(n, -1); set<int> trees; FindUnion<1001> fu; vector<int> rootsByFuId(n, -1); REP(i, order.size()) { int x = order[i]; if (przelPrev[x].empty()) { trees.insert(x); rootsByFuId[x] = x; continue; } set<int> treesToMerge; for (set<int>::iterator it = przelPrev[x].begin(); it != przelPrev[x].end(); ++it) { treesToMerge.insert(rootsByFuId[fu.Find(*it)]); } for (set<int>::iterator it = treesToMerge.begin(); it != treesToMerge.end(); ++it) { res[*it] = x; trees.erase(*it); fu.Union(x, *it); } trees.insert(x); rootsByFuId[fu.Find(x)] = x; } for (set<int>::iterator it = trees.begin(); it != trees.end(); ++it) { res[*it] = root; } REP(i, n) printf("%d\n", res[i] + 1); return true; } int main() { n = read(); int m = read(); przel.resize(n); przelPrev.resize(n); notPrzel.resize(n); canBeRoot.resize(n, true); REP(i, m) { int a = read() - 1; int b = read() - 1; char c = readc(); if (c == 'T') { przel[a].insert(b); przelPrev[b].insert(a); canBeRoot[a] = false; } else { notPrzel[a].insert(b); canBeRoot[b] = false; } } if (!solve()) printf("NIE\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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 | #include <cstdio> #include <vector> #include <map> #include <set> #include <queue> #include <algorithm> #include <string> #include <sstream> #include <cmath> using namespace std; typedef vector<int> vi; typedef long long ll; typedef vector<ll> vll; typedef pair<int,int> pii; #define mp make_pair #define REP(i,n) for (int i=0,___=(n); i<___; ++i) #define FOR(i,a,b) for (int i=(a),___=(b); i<=___; ++i) #define FORD(i,a,b) for (int i=(a),___=(b); i>=___; --i) int read() { int n; scanf("%d", &n); return n; } ll readl() { ll n; scanf("%lld", &n); return n; } char readc() { static char s[32]; scanf("%s", s); return *s; } /////////////////////////////////////////////////// /// ZBIORY ROZŁĄCZNE template <int N> class FindUnion { int parent[N]; public: FindUnion() { for (int i=0; i<N; ++i) parent[i] = -1; } int Find(int x) { int result = x, tmp; while (parent[result] >= 0) result = parent[result]; while (x != result) { tmp = parent[x]; parent[x] = result; x = tmp; } return result; } void Union(int x, int y) { x = Find(x); y = Find(y); if (x == y) return; if (parent[x] < parent[y]) { parent[x] += parent[y]; parent[y] = x; } else { parent[y] += parent[x]; parent[x] = y; } } int Size(int x) { return -parent[Find(x)]; } }; int n; vector<set<int> > przel; vector<set<int> > przelPrev; vector<set<int> > notPrzel; vector<bool> canBeRoot; int findRoot() { REP(i, n) if (canBeRoot[i]) return i; return -1; } bool solve() { int root = findRoot(); if (root < 0) return false; // find cycles REP(i, n) { vector<bool> visited(n, false); queue<int> q; for (set<int>::iterator it = przel[i].begin(); it != przel[i].end(); ++it) { q.push(*it); visited[*it] = true; } while (!q.empty()) { int x = q.front(); q.pop(); if (x == i) return false; // cycle found if (notPrzel[i].count(x) > 0) return false; // i want x to be przel (indirect), but i dont want x to be przel (direct) for (set<int>::iterator it = przel[x].begin(); it != przel[x].end(); ++it) { if (visited[*it] == false) { q.push(*it); visited[*it] = true; } } } } // topological sort vector<int> cnt(n, 0); REP(i, n) { for (set<int>::iterator it = przel[i].begin(); it != przel[i].end(); ++it) { cnt[*it]++; } } cnt[root] = n+n; vector<int> order; queue<int> q; REP(i, n) if (cnt[i] == 0) q.push(i); while (!q.empty()) { int x = q.front(); q.pop(); order.push_back(x); for (set<int>::iterator it = przel[x].begin(); it != przel[x].end(); ++it) { if (0 == --cnt[*it]) { q.push(*it); } } } // mamy kolejnosc, robimy zbior drzew vector<int> res(n, -1); set<int> trees; FindUnion<1001> fu; vector<int> rootsByFuId(n, -1); REP(i, order.size()) { int x = order[i]; if (przelPrev[x].empty()) { trees.insert(x); rootsByFuId[x] = x; continue; } set<int> treesToMerge; for (set<int>::iterator it = przelPrev[x].begin(); it != przelPrev[x].end(); ++it) { treesToMerge.insert(rootsByFuId[fu.Find(*it)]); } for (set<int>::iterator it = treesToMerge.begin(); it != treesToMerge.end(); ++it) { res[*it] = x; trees.erase(*it); fu.Union(x, *it); } trees.insert(x); rootsByFuId[fu.Find(x)] = x; } for (set<int>::iterator it = trees.begin(); it != trees.end(); ++it) { res[*it] = root; } REP(i, n) printf("%d\n", res[i] + 1); return true; } int main() { n = read(); int m = read(); przel.resize(n); przelPrev.resize(n); notPrzel.resize(n); canBeRoot.resize(n, true); REP(i, m) { int a = read() - 1; int b = read() - 1; char c = readc(); if (c == 'T') { przel[a].insert(b); przelPrev[b].insert(a); canBeRoot[a] = false; } else { notPrzel[a].insert(b); canBeRoot[b] = false; } } if (!solve()) printf("NIE\n"); return 0; } |