#include <bits/stdc++.h> using namespace std; #define e1 first #define e2 second #define x first #define y second #define pb push_back #define mp make_pair #define boost ios_base::sync_with_stdio(false) #define eb emplace_back #define OUT(x) {cout << x; exit(0); } #define FOR(i,a,b) for(int i=(a);i<=(b);++i) #define scanf(...) scanf(__VA_ARGS__)?:0 typedef int ll; typedef unsigned long long ull; typedef pair <int, int> PII; typedef pair <ll, ll> PLL; typedef pair <PLL, int> PLLI; typedef pair <PLL, PLL> PP; typedef pair <PII, int> PPI; typedef pair <ll, int> PLI; typedef unsigned int ui; const int inf = 1e9+9; const ll MOD = 1e9+696969; const long long INF = 1e18+3; const int maxn = 1010; int n, m, a, b, root; char zn; vector <PII> good, bad; int parent[maxn], post[maxn], pre[maxn], DL = 0; vector <int> graf[maxn], v[maxn], outgoing[maxn]; int indeg[maxn]; bool odw[maxn]; void vDFS(int x) { pre[x] = ++DL; for (int i=0; i<(int)graf[x].size(); ++i) { int u = graf[x][i]; vDFS(u); } post[x] = ++DL; } inline bool xxxAncestor(int a, int b) { //czy a jest przodkiem b return pre[a] <= pre[b] && post[a] >= post[b]; } bool validate() { int jest = 0; FOR(i, 1, n) { assert(parent[i] >= 0 && parent[i] <= n); if (!parent[i]) jest++; else graf[parent[i]].pb(i); } assert(jest == 1); FOR(i, 1, n) if (!parent[i]) vDFS(i); for (int i=0; i<(int)good.size();++i) if (!xxxAncestor(good[i].e1, good[i].e2)) { cout << "UpsxD\n"; return 0; } for (int i=0; i<(int)bad.size(); ++i) if (xxxAncestor(bad[i].e2, bad[i].e1)) { cout << "H\n"; return 0; } return 1; } bool cannotBeRoot[maxn]; int ostOdw[maxn], gold[maxn], nalezyDo[maxn]; void dfs(int x, int rr, int skl) { ostOdw[x] = rr; nalezyDo[x] = skl; for (int i=0; i<(int)v[x].size(); ++i) { int u = v[x][i]; if (!gold[u] && ostOdw[u] != rr) dfs(u, rr, skl); } } int getNoHateVertex(int conn, int ktoraSkladowa) { int cnt[n + 5]; FOR(i, 1, n) { if (ostOdw[i] == conn && nalezyDo[i] == ktoraSkladowa && !indeg[i]) cnt[i] = 1; else cnt[i] = 0; } for (int i=0; i<(int)bad.size(); ++i) { int a = bad[i].e1, b = bad[i].e2; //a nie chce b jako przodka if (ostOdw[a] == ostOdw[b] && ostOdw[a] == conn && nalezyDo[a] == ktoraSkladowa && nalezyDo[b] == ktoraSkladowa) cnt[b] = 0; } FOR(i, 1, n) if (cnt[i]) return i; return -1; } void FindAnswer(int rr) { gold[rr] = 1; for (int i=0; i<(int)outgoing[rr].size(); ++i) indeg[outgoing[rr][i]]--; vector <int> nowe; nowe.clear(); int cc = 0; for (int i=0; i<(int)outgoing[rr].size(); ++i) { int u = outgoing[rr][i]; if (!gold[u] && ostOdw[u] != rr) { dfs(u, rr, ++cc); int w = getNoHateVertex(rr, cc); if (w == -1) OUT("NIE"); nowe.pb(w); } } for (int i=0; i<(int)nowe.size(); ++i) { parent[nowe[i]] = rr; FindAnswer(nowe[i]); } } int main() { scanf("%d%d", &n, &m); FOR(i, 1, m) { scanf("%d%d %c", &a, &b, &zn); assert(a != b); if (zn == 'T') { good.pb(mp(b, a)); cannotBeRoot[a] = 1; } else { bad.pb(mp(a, b)); cannotBeRoot[b] = 1; } } FOR(i, 1, n) if (!cannotBeRoot[i]) { root = i; break; } if (!root) OUT("NIE"); FOR(i, 1, n) if (i != root) v[root].pb(i), v[i].pb(root), outgoing[root].pb(i), indeg[i]++; for (int i=0; i<(int)good.size(); ++i) { PII u = good[i]; v[u.e1].pb(u.e2), v[u.e2].pb(u.e1); outgoing[u.e1].pb(u.e2); indeg[u.e2]++; } FindAnswer(root); //puts("TAK"); if (!validate()) puts("Cos sie zepsulo. Ups."); else { //puts("TAK"); FOR(i, 1, n) printf("%d\n", parent[i]); } }
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 | #include <bits/stdc++.h> using namespace std; #define e1 first #define e2 second #define x first #define y second #define pb push_back #define mp make_pair #define boost ios_base::sync_with_stdio(false) #define eb emplace_back #define OUT(x) {cout << x; exit(0); } #define FOR(i,a,b) for(int i=(a);i<=(b);++i) #define scanf(...) scanf(__VA_ARGS__)?:0 typedef int ll; typedef unsigned long long ull; typedef pair <int, int> PII; typedef pair <ll, ll> PLL; typedef pair <PLL, int> PLLI; typedef pair <PLL, PLL> PP; typedef pair <PII, int> PPI; typedef pair <ll, int> PLI; typedef unsigned int ui; const int inf = 1e9+9; const ll MOD = 1e9+696969; const long long INF = 1e18+3; const int maxn = 1010; int n, m, a, b, root; char zn; vector <PII> good, bad; int parent[maxn], post[maxn], pre[maxn], DL = 0; vector <int> graf[maxn], v[maxn], outgoing[maxn]; int indeg[maxn]; bool odw[maxn]; void vDFS(int x) { pre[x] = ++DL; for (int i=0; i<(int)graf[x].size(); ++i) { int u = graf[x][i]; vDFS(u); } post[x] = ++DL; } inline bool xxxAncestor(int a, int b) { //czy a jest przodkiem b return pre[a] <= pre[b] && post[a] >= post[b]; } bool validate() { int jest = 0; FOR(i, 1, n) { assert(parent[i] >= 0 && parent[i] <= n); if (!parent[i]) jest++; else graf[parent[i]].pb(i); } assert(jest == 1); FOR(i, 1, n) if (!parent[i]) vDFS(i); for (int i=0; i<(int)good.size();++i) if (!xxxAncestor(good[i].e1, good[i].e2)) { cout << "UpsxD\n"; return 0; } for (int i=0; i<(int)bad.size(); ++i) if (xxxAncestor(bad[i].e2, bad[i].e1)) { cout << "H\n"; return 0; } return 1; } bool cannotBeRoot[maxn]; int ostOdw[maxn], gold[maxn], nalezyDo[maxn]; void dfs(int x, int rr, int skl) { ostOdw[x] = rr; nalezyDo[x] = skl; for (int i=0; i<(int)v[x].size(); ++i) { int u = v[x][i]; if (!gold[u] && ostOdw[u] != rr) dfs(u, rr, skl); } } int getNoHateVertex(int conn, int ktoraSkladowa) { int cnt[n + 5]; FOR(i, 1, n) { if (ostOdw[i] == conn && nalezyDo[i] == ktoraSkladowa && !indeg[i]) cnt[i] = 1; else cnt[i] = 0; } for (int i=0; i<(int)bad.size(); ++i) { int a = bad[i].e1, b = bad[i].e2; //a nie chce b jako przodka if (ostOdw[a] == ostOdw[b] && ostOdw[a] == conn && nalezyDo[a] == ktoraSkladowa && nalezyDo[b] == ktoraSkladowa) cnt[b] = 0; } FOR(i, 1, n) if (cnt[i]) return i; return -1; } void FindAnswer(int rr) { gold[rr] = 1; for (int i=0; i<(int)outgoing[rr].size(); ++i) indeg[outgoing[rr][i]]--; vector <int> nowe; nowe.clear(); int cc = 0; for (int i=0; i<(int)outgoing[rr].size(); ++i) { int u = outgoing[rr][i]; if (!gold[u] && ostOdw[u] != rr) { dfs(u, rr, ++cc); int w = getNoHateVertex(rr, cc); if (w == -1) OUT("NIE"); nowe.pb(w); } } for (int i=0; i<(int)nowe.size(); ++i) { parent[nowe[i]] = rr; FindAnswer(nowe[i]); } } int main() { scanf("%d%d", &n, &m); FOR(i, 1, m) { scanf("%d%d %c", &a, &b, &zn); assert(a != b); if (zn == 'T') { good.pb(mp(b, a)); cannotBeRoot[a] = 1; } else { bad.pb(mp(a, b)); cannotBeRoot[b] = 1; } } FOR(i, 1, n) if (!cannotBeRoot[i]) { root = i; break; } if (!root) OUT("NIE"); FOR(i, 1, n) if (i != root) v[root].pb(i), v[i].pb(root), outgoing[root].pb(i), indeg[i]++; for (int i=0; i<(int)good.size(); ++i) { PII u = good[i]; v[u.e1].pb(u.e2), v[u.e2].pb(u.e1); outgoing[u.e1].pb(u.e2); indeg[u.e2]++; } FindAnswer(root); //puts("TAK"); if (!validate()) puts("Cos sie zepsulo. Ups."); else { //puts("TAK"); FOR(i, 1, n) printf("%d\n", parent[i]); } } |