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#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 8; const int INF = 1e9 + 8; int n, m, col[N], vis[N], save[N], cost[2][N], CurColor, pos[N], TPLT, cnt; long long sum[2] = {0, 0}; bool flag; vector<pair<int, int> > a[N]; vector<int> L[N], E[N], ans[2][N], tmp; void Enter() { cin >> n >> m; for (int i = (1), _b = (m); i <= _b; ++i) { int x, y; char w; cin >> x >> y >> w; save[i] = (w == 'R' ? 0 : 1); a[x].push_back(pair<int, int>(y, i)); a[y].push_back(pair<int, int>(x, i)); } } void Separate(int u) { pos[u] = TPLT; L[TPLT].push_back(u); for (int i = (0), _b = (a[u].size()); i < _b; ++i) if (!pos[a[u][i].first]) Separate(a[u][i].first); } void Reset(int z) { for (int v : L[z]) vis[v] = -1; for (int i : E[z]) col[i] = save[i]; tmp.clear(); flag = true; } void SaveAns(int z, int cc) { if (!flag) return; if (cost[cc][z] > tmp.size()) { cost[cc][z] = tmp.size(); ans[cc][z] = tmp; } } void DFS(int u, int pick, int cc) { vis[u] = pick; if (pick) { tmp.push_back(u); for (pair<int, int> e : a[u]) col[e.second] ^= 1; } for (pair<int, int> e : a[u]) { int v = e.first, id = e.second; if (vis[v] != -1 && col[id] != cc) flag = false; if (!flag) return; if (vis[v] == -1) { if (col[id] == cc) DFS(v, 0, cc); else DFS(v, 1, cc); } } } void Print(int cc) { cout << sum[cc] << '\n'; for (int u = (1), _b = (n); u <= _b; ++u) for (int v : ans[cc][u]) cout << v << ' '; } void Process() { for (int i = (1), _b = (n); i <= _b; ++i) if (!pos[i]) { ++TPLT; Separate(i); } for (int u = (1), _b = (n); u <= _b; ++u) for (int i = (0), _b = (a[u].size()); i < _b; ++i) { int v = a[u][i].first, id = a[u][i].second; if (pos[u] == pos[v] && u < v) E[pos[u]].push_back(id); } for (int c = (0), _b = (2); c < _b; ++c) for (int i = (1), _b = (TPLT); i <= _b; ++i) cost[c][i] = INF; for (int z = (1), _b = (TPLT); z <= _b; ++z) for (int CurColor = (0), _b = (2); CurColor < _b; ++CurColor) { Reset(z); DFS(L[z][0], 0, CurColor); SaveAns(z, CurColor); Reset(z); DFS(L[z][0], 1, CurColor); SaveAns(z, CurColor); } for (int i = (1), _b = (TPLT); i <= _b; ++i) for (int cc = (0), _b = (2); cc < _b; ++cc) sum[cc] += cost[cc][i]; if (sum[0] >= INF && sum[1] >= INF) cout << -1; else if (sum[0] < sum[1]) Print(0); else Print(1); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); Enter(); Process(); return 0; }
#include <bits/stdc++.h> using std::copy; using std::inserter; using std::swap; using std::vector; const int MAX_N = 100000 + 10; struct Edge { int v, color; }; int n; vector<Edge> G[MAX_N]; int num_cc; int cc_id[MAX_N]; vector<int> cc[MAX_N]; int color[MAX_N]; void ReadGraph(void) { int m; scanf("%d%d", &n, &m); while (m--) { int u, v; char s[2]; scanf("%d%d%s", &u, &v, s); int color = s[0] == 'R'; G[u - 1].push_back((Edge){v - 1, color}); G[v - 1].push_back((Edge){u - 1, color}); } } void DFS(int u) { cc_id[u] = num_cc; cc[num_cc].push_back(u); for (int i = 0; i < (int)G[u].size(); ++i) { Edge &e = G[u][i]; if (cc_id[e.v] == -1) { DFS(e.v); } } } void FindCC(void) { num_cc = 0; memset(cc_id, -1, sizeof cc_id); for (int i = 0; i < n; ++i) { if (cc_id[i] == -1) { cc[num_cc].clear(); DFS(i); ++num_cc; } } } void ChooseBetter(bool &good1, vector<int> &list1, bool &good2, vector<int> &list2) { if (good2 && (!good1 || list1.size() > list2.size())) { swap(good1, good2); swap(list1, list2); } } void WriteList(vector<int> &list) { printf("%u\n", list.size()); for (int i = 0; i < (int)list.size(); ++i) { printf("%d ", list[i] + 1); } printf("\n"); } bool DFS2(int u, int goal, vector<int> &list) { for (int i = 0; i < (int)G[u].size(); ++i) { Edge &e = G[u][i]; if (e.color == goal) { if (color[e.v] == -1) { color[e.v] = color[u]; if (color[e.v]) { list.push_back(e.v); } if (!DFS2(e.v, goal, list)) { return false; } } else if (color[e.v] != color[u]) { return false; } } else { if (color[e.v] == -1) { color[e.v] = color[u] ^ 1; if (color[e.v]) { list.push_back(e.v); } if (!DFS2(e.v, goal, list)) { return false; } } else if (color[e.v] == color[u]) { return false; } } } return true; } bool SolveCC(int id, int goal, vector<int> &list) { int root = cc[id].front(); bool good1, good2; vector<int> now1, now2; for (int i = 0; i < (int)cc[id].size(); ++i) { color[cc[id][i]] = -1; } color[root] = 0; good1 = DFS2(root, goal, now1); for (int i = 0; i < (int)cc[id].size(); ++i) { color[cc[id][i]] = -1; } color[root] = 1; now2.push_back(root); good2 = DFS2(root, goal, now2); ChooseBetter(good1, now1, good2, now2); if (good1) { copy(now1.begin(), now1.end(), inserter(list, list.end())); return true; } else { return false; } } void Solve(int goal, bool &good, vector<int> &list) { list.clear(); for (int i = 0; i < num_cc; ++i) { if (!SolveCC(i, goal, list)) { good = false; return; } } good = true; } int main(void) { ReadGraph(); FindCC(); bool good1, good2; vector<int> list1, list2; Solve(0, good1, list1); Solve(1, good2, list2); ChooseBetter(good1, list1, good2, list2); if (good1) { WriteList(list1); } else { puts("-1"); } }
#include <bits/stdc++.h> const int N = 5e5 + 100; int n, m; std::vector<std::pair<int, int> > edge[2]; std::vector<int> graph[N]; bool visit[N]; void init() { std::cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v, w; char cc[10]; scanf("%d%d%s", &u, &v, cc); if (cc[0] == 'B') { w = 0; } else { w = 1; } edge[w].push_back(std::make_pair(u, v)); } } void dfs(int u, std::vector<int> &vec0, std::vector<int> &vec1) { if (u <= n) { vec0.push_back(u); } else { vec1.push_back(u - n); } visit[u] = true; for (int i = 0; i < (int)graph[u].size(); i++) { int v = graph[u][i]; if (visit[v] == true) { continue; } dfs(v, vec0, vec1); } } void solve(int t, std::vector<int> &answer) { for (int i = 1; i <= 2 * n; i++) { graph[i].clear(); } std::fill(visit + 1, visit + 2 * n + 1, false); std::vector<int> vec; for (int i = 0; i < (int)edge[t].size(); i++) { int u = edge[t][i].first, v = edge[t][i].second; graph[u].push_back(v); graph[v].push_back(u); graph[n + u].push_back(n + v); graph[n + v].push_back(n + u); } for (int i = 0; i < (int)edge[t ^ 1].size(); i++) { int u = edge[t ^ 1][i].first, v = edge[t ^ 1][i].second; graph[u].push_back(n + v); graph[n + v].push_back(u); graph[v].push_back(n + u); graph[n + u].push_back(v); } for (int i = 1; i <= n; i++) { if (!visit[i] && !visit[i + n]) { std::vector<int> t[2]; dfs(i, t[0], t[1]); if (t[0].size() > t[1].size()) { std::swap(t[0], t[1]); } for (int j = 0; j < (int)t[0].size(); j++) { vec.push_back(t[0][j]); } } } for (int i = 1; i <= n; i++) { if (visit[i] && visit[i + n]) { return; } } if (vec.size() < answer.size() || (answer.size() > 0 && answer[0] == -1)) { answer = vec; } } void work() { std::vector<int> answer(1, -1); solve(0, answer); solve(1, answer); if (answer.size() > 0 && answer[0] == -1) { std::cout << -1 << std::endl; } else { std::cout << answer.size() << std::endl; for (int i = 0; i < (int)answer.size(); i++) { printf("%d ", answer[i]); } std::cout << std::endl; } } int main() { init(); work(); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; vector<int> v[101010]; vector<char> c[101010]; int t[101010]; char z; int e1[101010], e2[101010]; void haku1(int s) { if (t[s] == -1) return; t[s] = -1; for (int i = 0; i < v[s].size(); i++) { haku1(v[s][i]); } } bool ok; int q; void haku2(int s, int u) { if (t[s] == u || !ok) return; if (t[s] != -1) { ok = false; return; } t[s] = u; if (u) q++; for (int i = 0; i < v[s].size(); i++) { if (c[s][i] == z) { haku2(v[s][i], u); } else { haku2(v[s][i], 1 - u); } } } int main() { cin >> n >> m; for (int i = 0; i < m; i++) { int a, b; char x; cin >> a >> b >> x; v[a].push_back(b); v[b].push_back(a); c[a].push_back(x); c[b].push_back(x); } int w1 = 0, w2 = 0; bool k1 = true, k2 = true; z = 'R'; for (int i = 1; i <= n; i++) haku1(i); for (int i = 1; i <= n; i++) { if (t[i] != -1) continue; int w = 999999999; haku1(i); ok = true; q = 0; haku2(i, 0); if (ok && q < w) { w = q; e1[i] = 0; } haku1(i); ok = true; q = 0; haku2(i, 1); if (ok && q < w) { w = q; e1[i] = 1; } if (w == 999999999) { k1 = false; break; } w1 += w; } z = 'B'; for (int i = 1; i <= n; i++) haku1(i); for (int i = 1; i <= n; i++) { if (t[i] != -1) continue; int w = 999999999; haku1(i); ok = true; q = 0; haku2(i, 0); if (ok && q < w) { w = q; e2[i] = 0; } haku1(i); ok = true; q = 0; haku2(i, 1); if (ok && q < w) { w = q; e2[i] = 1; } if (w == 999999999) { k2 = false; break; } w2 += w; } if (!k1 && !k2) { cout << "-1\n"; return 0; } vector<int> f; for (int i = 1; i <= n; i++) haku1(i); if (k1 && (!k2 || w1 < w2)) { z = 'R'; ok = true; for (int i = 1; i <= n; i++) { if (t[i] != -1) continue; haku2(i, e1[i]); } } else { z = 'B'; ok = true; for (int i = 1; i <= n; i++) { if (t[i] != -1) continue; haku2(i, e2[i]); } } for (int i = 1; i <= n; i++) { if (t[i] == 1) f.push_back(i); } cout << f.size() << "\n"; for (int i = 0; i < f.size(); i++) cout << f[i] << " "; cout << "\n"; }
#include <bits/stdc++.h> using namespace std; template <typename T> void _R(T &x) { cin >> x; } void _R(int &x) { scanf("%d", &x); } void _R(long long &x) { scanf("%" PRId64, &x); } void _R(double &x) { scanf("%lf", &x); } void _R(char &x) { scanf(" %c", &x); } void _R(char *x) { scanf("%s", x); } void R() {} template <typename T, typename... X> void R(T &head, X &...tail) { _R(head); R(tail...); } const int N = 100005, INF = -100000000; vector<pair<int, int> > g[N]; vector<int> v[2], ans[2]; int visit[2][N]; int n, m; bool DFS(int x, int stat, int p, int c, int vis[]) { if (vis[x] != -1) return vis[x] == stat; vis[x] = stat; if (stat == 1) v[p].push_back(x); for (pair<int, int> e : g[x]) if (!DFS(e.first, e.second ^ stat ^ c, p, c, vis)) return 0; return 1; } int main() { R(n, m); for (int i = 0; i < m; i++) { int x, y; char c; R(x, y, c); g[x].push_back(make_pair(y, c == 'R')); g[y].push_back(make_pair(x, c == 'R')); } int res[2] = {1, 1}; for (int color = 0; color < 2; color++) { memset(visit, -1, sizeof(visit)); for (int i = 1; i <= n && res[color]; i++) if (visit[0][i] == -1) { int rtv[2]; for (int p = 0; p < 2; p++) v[p].clear(); for (int p = 0; p < 2; p++) rtv[p] = DFS(i, p, p, color, visit[p]); ; if (max(rtv[0], rtv[1]) == 0) res[color] = 0; else { int ind = (rtv[0] ? v[0].size() : INF) > (rtv[1] ? v[1].size() : INF); ans[color].insert(ans[color].end(), v[ind].begin(), v[ind].end()); } } }; if (max(res[0], res[1]) == 0) puts("-1"); else { int ind = (res[0] ? ans[0].size() : INF) > (res[1] ? ans[1].size() : INF); cout << ans[ind].size() << endl; for (int i : ans[ind]) printf("%d ", i); puts(""); } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> inline void smin(T &a, U b) { if (a > b) a = b; } template <typename T, typename U> inline void smax(T &a, U b) { if (a < b) a = b; } char s[] = "RB"; char c[100100]; int a[100100], b[100100], ans[2], vst[100100]; vector<int> adj[100100]; vector<int> col[3]; vector<int> seq[2]; bool dfs(int u, int c = 1) { vst[u] = c; col[c].push_back(u); for (int i = adj[u].size(); i--;) { int v = adj[u][i]; if (v > 0) { if (vst[v]) { if (vst[v] != vst[u]) return false; continue; } if (!dfs(v, c)) return false; } else { v = -v; if (vst[v]) { if (vst[v] == vst[u]) return false; continue; } if (!dfs(v, 3 - c)) return false; } } return true; } int main() { int n, m; cin >> n >> m; for (int i = 0; i < m; i++) { scanf("%d %d %c", a + i, b + i, c + i); } for (int tp = 0; tp < 2; tp++) { for (int i = 1; i <= n; i++) adj[i].clear(), vst[i] = 0; for (int i = 0; i < m; i++) { if (c[i] == s[tp]) { adj[a[i]].push_back(b[i]); adj[b[i]].push_back(a[i]); } else { adj[a[i]].push_back(-b[i]); adj[b[i]].push_back(-a[i]); } } for (int i = 1; i <= n; i++) { if (!vst[i]) { col[1].clear(); col[2].clear(); if (!dfs(i)) { ans[tp] = 0x3f3f3f3f; break; } int id = 1; if (col[id].size() > col[2].size()) id = 2; ans[tp] += col[id].size(); while (col[id].size()) seq[tp].push_back(col[id].back()), col[id].pop_back(); } } } int res = min(ans[0], ans[1]); printf("%d\n", res == 0x3f3f3f3f ? -1 : res); int id = 0; if (ans[0] > ans[1]) id = 1; while (seq[id].size()) printf("%d ", seq[id].back()), seq[id].pop_back(); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> inline void smin(T &a, U b) { if (a > b) a = b; } template <typename T, typename U> inline void smax(T &a, U b) { if (a < b) a = b; } template <class T> inline void gn(T &first) { char c, sg = 0; while (c = getchar(), (c > '9' || c < '0') && c != '-') ; for ((c == '-' ? sg = 1, c = getchar() : 0), first = 0; c >= '0' && c <= '9'; c = getchar()) first = (first << 1) + (first << 3) + c - '0'; if (sg) first = -first; } template <class T> inline void print(T first) { if (first < 0) { putchar('-'); return print(-first); } if (first < 10) { putchar('0' + first); return; } print(first / 10); putchar(first % 10 + '0'); } template <class T, class T1> inline void gn(T &first, T1 &second) { gn(first); gn(second); } template <class T, class T1, class T2> inline void gn(T &first, T1 &second, T2 &z) { gn(first); gn(second); gn(z); } template <class T> inline void println(T first) { print(first); putchar('\n'); } template <class T> inline void printsp(T first) { print(first); putchar(' '); } template <class T1, class T2> inline void print(T1 x1, T2 x2) { printsp(x1), println(x2); } template <class T1, class T2, class T3> inline void print(T1 x1, T2 x2, T3 x3) { printsp(x1), printsp(x2), println(x3); } template <class T1, class T2, class T3, class T4> inline void print(T1 x1, T2 x2, T3 x3, T4 x4) { printsp(x1), printsp(x2), printsp(x3), println(x4); } int power(int a, int b, int m, int ans = 1) { for (; b; b >>= 1, a = 1LL * a * a % m) if (b & 1) ans = 1LL * ans * a % m; return ans; } vector<pair<int, int> > adj[100111]; vector<int> res; vector<int> tmp; int ans = 0x3f3f3f3f; int vst[100111]; vector<int> vec[2]; int n, m; int col[100111]; int dfs(int u, int c, int k) { vec[c].push_back(u); vst[u] = 1; col[u] = c; for (int i = 0; i < ((int)adj[u].size()); i++) { int v = adj[u][i].first; if (adj[u][i].second == k) { if (vst[v]) { if (col[v] != c) return 0; continue; } if (dfs(v, c, k) == 0) return 0; } else { if (vst[v]) { if (col[v] != 1 - c) return 0; continue; } if (dfs(v, 1 - c, k) == 0) return 0; } } return 1; } int solve(int k) { memset(vst, 0, sizeof vst); tmp.clear(); for (int i = 1; i <= n; i++) if (vst[i] == 0) { vec[0].clear(); vec[1].clear(); if (dfs(i, 0, k) == 0) return 0; if (((int)vec[0].size()) < ((int)vec[1].size())) swap(vec[0], vec[1]); for (int j = 0; j < ((int)vec[1].size()); j++) tmp.push_back(vec[1][j]); } return 1; } int main() { cin >> n >> m; for (int i = 0; i < m; i++) { int u, v; gn(u, v); char c; scanf(" %c ", &c); adj[u].push_back(pair<int, int>(v, c == 'R')); adj[v].push_back(pair<int, int>(u, c == 'R')); } if (solve(0)) res = tmp, smin(ans, ((int)tmp.size())); if (solve(1) and ((int)tmp.size()) < ans) { res = tmp; ans = ((int)tmp.size()); } if (ans == 0x3f3f3f3f) return puts("-1"); sort(res.begin(), res.end()); cout << ((int)res.size()) << endl; for (int i = 0; i < ((int)res.size()); i++) { println(res[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> graph[100001][2]; vector<int> red_ans; vector<int> blue_ans; vector<int> now_v[2]; int visited[100001][2]; bool red = true, blue = true; bool dfs(int x, int rb) { now_v[visited[x][rb]].push_back(x); for (int j = 0; j < 2; j++) { for (int i = 0; i < graph[x][j].size(); i++) { int want = visited[x][rb] ^ rb ^ j; if (visited[graph[x][j][i]][rb] == 2) { visited[graph[x][j][i]][rb] = want; if (!dfs(graph[x][j][i], rb)) return false; } else if (visited[graph[x][j][i]][rb] == 1 - want) { return false; } } } return true; } void print_blue() { printf("%d\n", blue_ans.size()); for (int i = 0; i < blue_ans.size(); i++) printf("%d ", blue_ans[i]); } void print_red() { printf("%d\n", red_ans.size()); for (int i = 0; i < red_ans.size(); i++) printf("%d ", red_ans[i]); } int main() { int n, m; scanf("%d %d", &n, &m); for (int i = 0; i < m; i++) { int from, to; char clr; scanf("%d %d %c", &from, &to, &clr); graph[from][clr == 'B'].push_back(to); graph[to][clr == 'B'].push_back(from); } for (int i = 1; i <= n; i++) { visited[i][0] = 2; visited[i][1] = 2; } for (int i = 1; i <= n; i++) { if (visited[i][0] == 2) { visited[i][0] = 0; if (!dfs(i, 0)) { red = false; now_v[0].clear(); now_v[1].clear(); break; } int target = now_v[0].size() > now_v[1].size(); for (int j = 0; j < now_v[target].size(); j++) { red_ans.push_back(now_v[target][j]); } now_v[0].clear(); now_v[1].clear(); } } for (int i = 1; i <= n; i++) { if (visited[i][1] == 2) { visited[i][1] = 0; if (!dfs(i, 1)) { blue = false; now_v[0].clear(); now_v[1].clear(); break; } int target = now_v[0].size() > now_v[1].size(); for (int j = 0; j < now_v[target].size(); j++) { blue_ans.push_back(now_v[target][j]); } now_v[0].clear(); now_v[1].clear(); } } if (red && blue) { if (red_ans.size() > blue_ans.size()) { print_blue(); } else { print_red(); } } else if (red) print_red(); else if (blue) print_blue(); else printf("-1"); }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; const int INF = 1e9; int n; vector<pair<int, int> > adj[N]; int target, col[N]; vector<int> nodes; bool dfs(int u, int c, int &sz, int &p) { if (col[u] != -1) { if (col[u] != c) return false; return true; } col[u] = c; sz++; p += c; nodes.push_back(u); bool res = true; for (auto e : adj[u]) { int v, x; tie(v, x) = e; res &= dfs(v, c ^ (x != target), sz, p); } return res; } int best(int u) { int sz = 0, p = 0; nodes.clear(); if (!dfs(u, 0, sz, p)) return INF; int a = p, b = sz - p; if (a > b) { swap(a, b); for (int u : nodes) col[u] ^= 1; } return a; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int m; cin >> n >> m; while (m--) { int u, v; char c; cin >> u >> v >> c; u--; v--; adj[u].emplace_back(v, c == 'B'); adj[v].emplace_back(u, c == 'B'); } int ans = INF, t = -1; for (target = 0; target < 2; target++) { fill_n(col, n, -1); long long int cand = 0; for (int u = 0; u < (int)(n); u++) if (col[u] == -1) cand += best(u); if (cand < ans) ans = cand, t = target; } if (ans == INF) cout << -1 << '\n'; else { cout << ans << endl; target = t; fill_n(col, n, -1); for (int u = 0; u < (int)(n); u++) if (col[u] == -1) best(u); for (int u = 0; u < (int)(n); u++) if (col[u]) cout << u + 1 << ' '; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1000006; vector<pair<int, char> > V[MAXN]; bool vis[MAXN]; int n, m; vector<int> ans, tt, teraz; int ct; int odw[MAXN]; bool czy[MAXN]; char jak; bool ok = 1; void dfs(int u) { if (czy[u]) teraz.push_back(u + 1); assert(odw[u] != ct); odw[u] = ct; for (auto it = (V[u]).begin(); it != (V[u]).end(); ++it) { bool tamten = (it->second != jak) ^ czy[u]; if (odw[it->first] == ct) { if (tamten != czy[it->first]) { ok = 0; return; } } else { czy[it->first] = tamten; dfs(it->first); if (!ok) return; } } } void probuj(char c) { jak = c; tt.clear(); int startct = ct; for (int i = 0; i < (n); ++i) if (odw[i] <= startct) { bool ktos = 0; vector<int> best; for (int j = 0; j < (2); ++j) { teraz.clear(); ++ct; ok = 1; czy[i] = j; dfs(i); if (ok && (ktos == 0 || best.size() > teraz.size())) { ktos = 1; best = teraz; } } if (!ktos) return; for (auto it = (best).begin(); it != (best).end(); ++it) tt.push_back(*it); } if (tt.size() < ans.size()) ans = tt; } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < (m); ++i) { int a, b; char c; scanf("%d %d %c", &a, &b, &c); --a; --b; V[a].push_back({b, c}); V[b].push_back({a, c}); } ans.resize(n + 2); probuj('R'); probuj('B'); if (ans.size() == n + 2) puts("-1"); else { printf("%lu\n", ans.size()); for (auto it = (ans).begin(); it != (ans).end(); ++it) printf("%d ", *it); puts(""); } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> void Maximize(T &x, U y) { if (x < y) { x = y; } } template <typename T, typename U> void Minimize(T &x, U y) { if (x > y) { x = y; } } template <typename T> int Sign(const T &x) { return (x < 0 ? -1 : (x == 0 ? 0 : +1)); } const int N = 100005; int n; int m; vector<pair<int, bool>> G[N]; vector<int> Set[2]; int Color[N]; void bipartiteDfs(int x, bool Col, bool colSrc, bool &goodSol) { Color[x] = Col; Set[Col].push_back(x); for (pair<int, bool> &Edge : G[x]) { int y; bool t; tie(y, t) = Edge; if (t == colSrc) { if (Color[y] == -1) { bipartiteDfs(y, Col ^ 1, colSrc, goodSol); } else { if (Color[y] == Color[x]) { goodSol = false; } } } else { if (Color[y] == -1) { bipartiteDfs(y, Col, colSrc, goodSol); } else { if (Color[y] != Color[x]) { goodSol = false; } } } } } pair<bool, vector<int>> Solve(bool colSrc) { fill(Color, Color + N, -1); bool isSol = true; vector<int> Sol; for (int i = 1; i <= n; i++) { if (Color[i] == -1) { for (int j = 0; j < 2; j++) Set[j].clear(); bipartiteDfs(i, 0, colSrc, isSol); if (Set[0].size() > Set[1].size()) swap(Set[0], Set[1]); Sol.insert(Sol.end(), Set[0].begin(), Set[0].end()); } } return {isSol, Sol}; } int main() { cin.tie(nullptr); ios_base ::sync_with_stdio(false); cin >> n >> m; for (int i = 1; i <= m; i++) { char c; int x, y; cin >> x >> y >> c; c = (c == 'B' ? 0 : 1); G[x].emplace_back(y, c); G[y].emplace_back(x, c); } pair<bool, vector<int>> fiSol = Solve(true); pair<bool, vector<int>> seSol = Solve(false); if (fiSol.first == false) { swap(fiSol, seSol); } if (fiSol.first == false) { cout << "-1\n"; } else { if (seSol.first == false) { cout << fiSol.second.size() << "\n"; for (int x : fiSol.second) cout << x << " "; } else { if (fiSol.second.size() > seSol.second.size()) { swap(fiSol, seSol); } cout << fiSol.second.size() << "\n"; for (int x : fiSol.second) cout << x << " "; } } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> bool uin(T &a, T b) { return a > b ? (a = b, true) : false; } template <class T> bool uax(T &a, T b) { return a < b ? (a = b, true) : false; } const int maxn = 110000; vector<pair<int, int> > e[maxn]; int col[maxn]; int z; bool dfs(int v, int c, vector<int> &l0, vector<int> &l1) { if (col[v] != -1) return col[v] == c; col[v] = c; (c ? l1 : l0).push_back(v); for (auto w : e[v]) { int u = w.first, y = w.second; if (!dfs(u, c ^ y ^ z, l0, l1)) return false; } return true; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.precision(10); cout << fixed; int n, m; cin >> n >> m; for (int i = 0; i < (int)(m); ++i) { int x, y; char c; cin >> x >> y >> c; --x; --y; e[x].push_back(make_pair(y, c == 'B')); e[y].push_back(make_pair(x, c == 'B')); } int ansSize = 1e9; vector<int> ans; for (z = 0; z < 2; ++z) { for (int i = 0; i < (int)(n); ++i) col[i] = -1; vector<int> res; bool ok = true; for (int i = 0; i < (int)(n); ++i) { if (col[i] != -1) continue; vector<int> l0, l1; if (!dfs(i, 0, l0, l1)) { ok = false; break; } if (l0.size() > l1.size()) swap(l0, l1); for (int x : l0) res.push_back(x); } if (!ok) continue; if (uin(ansSize, (int)res.size())) { ans = res; } } if (ansSize > n) { cout << -1 << '\n'; } else { cout << ansSize << '\n'; for (int x : ans) cout << x + 1 << ' '; cout << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 7; vector<int> adj[N][2]; vector<int> g[N], ver; int com[N]; int col[N]; int sz[N]; bool mark[N]; int cc[N]; int n, m, cnt1, cnt2; bool flag = false; void dfs(int v, int e, int c) { com[v] = c; sz[c]++; for (auto u : adj[v][e]) if (com[u] == -1) dfs(u, e, c); for (auto u : adj[v][1 - e]) if (com[u] != -1) { if (com[u] == com[v]) flag = false; g[com[v]].push_back(com[u]); g[com[u]].push_back(com[v]); } } void DFS(int v, int c) { ver.push_back(v); col[v] = c; if (c == 0) cnt1 += sz[v]; else cnt2 += sz[v]; for (auto u : g[v]) if (col[u] == -1) DFS(u, 1 - c); else if (col[u] == col[v]) flag = false; } int main() { ios::sync_with_stdio(false); cin >> n >> m; for (int i = 0; i < m; i++) { int u, v; char c; cin >> u >> v >> c; u--, v--; int x = 0; if (c == 'B') x = 1; adj[v][x].push_back(u); adj[u][x].push_back(v); } int ans = -1; for (int c = 0; c < 2; c++) { memset(com, -1, sizeof com); memset(col, -1, sizeof col); memset(sz, 0, sizeof sz); for (int i = 0; i < n; i++) g[i].clear(); flag = true; int cnt = 0; for (int i = 0; i < n; i++) if (com[i] == -1) dfs(i, c, cnt++); for (int i = 0; i < cnt; i++) if (col[i] == -1) { ver.clear(); cnt1 = cnt2 = 0; DFS(i, 0); if (cnt1 < cnt2) for (auto v : ver) col[v] = 1 - col[v]; } if (flag) { int p = 0; for (int i = 0; i < n; i++) if (col[com[i]] == 1) p++; if (ans == -1 || p < ans) { ans = p; for (int i = 0; i < n; i++) cc[i] = col[com[i]]; } } } cout << ans << "\n"; if (ans == -1) return 0; for (int i = 0; i < n; i++) if (cc[i]) cout << i + 1 << " "; cout << "\n"; return 0; }
#include <bits/stdc++.h> const int maxn = 100001; const int maxm = 200001; int n, m, s1, s2; int st[maxn], pv[maxm], pl[maxm], tot; bool pc[maxm], visit[2][maxn], col[2][maxn], visit2[2][maxn]; void side(int u, int v, bool c) { pv[++tot] = v; pc[tot] = c; pl[tot] = st[u]; st[u] = tot; } void init() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int u, v; scanf("%d%d", &u, &v); getchar(); char c = getchar(); side(u, v, c == 'R'); side(v, u, c == 'R'); } } bool dfs(int c, int x) { visit[c][x] = true; s1++; s2 += col[c][x]; for (int i = st[x]; i; i = pl[i]) { int v = pv[i]; if (!visit[c][v]) { col[c][v] = pc[i] ^ col[c][x] ^ c; if (!dfs(c, v)) return false; } else if ((pc[i] ^ col[c][x] ^ col[c][v]) != c) return false; } return true; } void dfs2(int c, int x) { col[c][x] = !col[c][x]; visit2[c][x] = true; for (int i = st[x]; i; i = pl[i]) if (!visit2[c][pv[i]]) dfs2(c, pv[i]); } int solve(int c) { int ret = 0; for (int i = 1; i <= n; i++) if (!visit[c][i]) { s1 = s2 = 0; col[c][i] = true; if (!dfs(c, i)) return -1; if (s2 > s1 - s2) { s2 = s1 - s2; dfs2(c, i); } ret += s2; } return ret; } int main() { init(); int ans, ans1 = solve(1), ans2 = solve(0); if (ans1 == -1 && ans2 == -1) { printf("-1\n"); return 0; } else if (ans1 != -1 && ans2 == -1) ans = 1; else if (ans1 == -1 && ans2 != -1) ans = 0; else if (ans1 < ans2) ans = 1; else ans = 0; if (ans) printf("%d\n", ans1); else printf("%d\n", ans2); for (int i = 1; i <= n; i++) if (col[ans][i]) printf("%d ", i); return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:500000000") using namespace std; struct Edge { int a, b; char c; }; vector<int> g[200009], rg[200009]; bool used[200009]; vector<int> order, comp; void top_sort(int v) { used[v] = true; for (auto to : g[v]) { if (!used[to]) top_sort(to); } order.push_back(v); } void dfs(int v, int c) { comp[v] = c; for (auto to : rg[v]) { if (comp[to] == -1) dfs(to, c); } } int sz; void add_edge(int a, int sa, int b, int sb) { int s = a + sz * sa; int t = b + sz * sb; g[s].push_back(t); rg[t].push_back(s); } void add_or(int a, int sa, int b, int sb) { add_edge(a, 1 - sa, b, sb); add_edge(b, 1 - sb, a, sa); } void solve1(vector<Edge> E, vector<vector<int> > &res) { int i, j; int n = 2 * sz; for (i = 0; i < n; i++) { g[i].clear(); rg[i].clear(); } order.clear(); for (auto e : E) { if (e.c == 'B') { add_or(e.a, 0, e.b, 1); add_or(e.a, 1, e.b, 0); } else { add_or(e.a, 0, e.b, 0); add_or(e.a, 1, e.b, 1); } } memset(used, 0, n * sizeof(used[0])); for (i = 0; i < n; i++) if (!used[i]) top_sort(i); comp = vector<int>(n, -1); for (i = 0, j = 0; i < n; i++) { auto v = order[n - i - 1]; if (comp[v] == -1) dfs(v, j++); } for (i = 0; i < sz; i++) { if (comp[i] == comp[i + sz]) return; } res.push_back({}); for (i = 0; i < sz; i++) if (comp[i] > comp[i + sz]) res.back().push_back(i); res.push_back({}); for (i = 0; i < sz; i++) if (comp[i] < comp[i + sz]) res.back().push_back(i); } vector<int> gg[200009]; void dfs2(int v) { comp.push_back(v); used[v] = 1; for (auto to : gg[v]) if (!used[to]) dfs2(to); } bool solve(int n, vector<Edge> E, vector<int> &res) { ::sz = n; vector<vector<int> > cands; solve1(E, cands); if (cands.empty()) return false; for (int j = 1; j < (int)cands.size(); j++) if (cands[j].size() < cands[0].size()) swap(cands[0], cands[j]); res = cands[0]; return true; } int main() { int n, m; char c[3]; scanf("%d %d", &n, &m); vector<Edge> E(m); for (auto &e : E) { scanf("%d %d %s", &e.a, &e.b, c); e.a--; e.b--; e.c = c[0]; gg[e.a].push_back(e.b); gg[e.b].push_back(e.a); } vector<int> vc(n); int csz = 0; for (int i = 0; i < n; i++) { if (!used[i]) { comp.clear(); dfs2(i); for (auto w : comp) vc[w] = csz; csz++; } } vector<vector<Edge> > ee(csz); for (auto e : E) ee[vc[e.a]].push_back(e); vector<int> gres; bool has = false; for (int round = 0; round < 2; round++) { vector<int> res; bool ok = true; for (auto comp : ee) { if (round) for (auto &e : comp) e.c ^= 'R' ^ 'B'; map<int, int> NX; for (auto &e : comp) NX[e.a] = NX[e.b] = 0; vector<int> RX; int cnt = 0; for (auto &p : NX) { RX.push_back(p.first); p.second = cnt++; } for (auto &e : comp) e.a = NX[e.a], e.b = NX[e.b]; vector<int> r; if (!solve(cnt, comp, r)) { ok = false; break; } for (auto &rr : r) res.push_back(RX[rr]); } if (!ok) continue; if (!has || gres.size() > res.size()) gres = res; has = true; } if (!has) { puts("-1"); return 0; } printf("%d\n", gres.size()); for (auto q : gres) printf("%d ", q + 1); puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100000 + 5; const int inf = 1e9; struct Edge { int to, next, v; } e[N << 1]; int head[N], cnt; void ins(int u, int v, int w) { e[++cnt] = (Edge){v, head[u], w}; head[u] = cnt; } void insert(int u, int v, int w) { ins(u, v, w); ins(v, u, w); } int u[N], v[N], c[N], n, m, res, col[N], vis[N]; vector<int> con, ans, tmp, c0, c1; void dfs(int u) { vis[u] = 1; con.push_back(u); for (int i = head[u]; i; i = e[i].next) { int v = e[i].to; if (vis[v]) continue; col[v] = col[u] ^ e[i].v; dfs(v); } } void solve() { for (int i = 1; i <= m; i++) c[i] ^= 1; memset(head, 0, sizeof(head)); memset(vis, 0, sizeof(vis)); cnt = 0; for (int i = 1; i <= m; i++) insert(u[i], v[i], c[i]); tmp.clear(); for (int i = 1; i <= n; i++) if (!vis[i]) { col[i] = 0; con.clear(); dfs(i); c0.clear(); c1.clear(); for (auto v : con) if (col[v]) c1.push_back(v); else c0.push_back(v); if ((int)c0.size() < (int)c1.size()) for (auto v : c0) tmp.push_back(v); else for (auto v : c1) tmp.push_back(v); } for (int i = 1; i <= m; i++) if (col[u[i]] ^ col[v[i]] ^ c[i]) return; if ((int)tmp.size() < res) res = (int)tmp.size(), ans = tmp; } int main() { scanf("%d%d", &n, &m); char s[5]; for (int i = 1; i <= m; i++) { scanf("%d%d%s", &u[i], &v[i], s); c[i] = s[0] == 'R'; } res = inf; solve(); solve(); if (res == inf) puts("-1"); else { printf("%d\n", res); for (auto i : ans) printf("%d ", i); puts(""); } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template <class T> bool chmin(T &a, const T &b) { if (a > b) { a = b; return 1; } return 0; } template <class T> ostream &operator<<(ostream &os, const vector<T> &t) { os << "["; for (__typeof((t).begin()) it = (t).begin(); it != (t).end(); it++) { if (it != t.begin()) os << ","; os << *it; } os << "]"; return os; } template <class T> ostream &operator<<(ostream &os, const set<T> &t) { os << "{"; for (__typeof((t).begin()) it = (t).begin(); it != (t).end(); it++) { if (it != t.begin()) os << ","; os << *it; } os << "}"; return os; } template <class S, class T> ostream &operator<<(ostream &os, const pair<S, T> &t) { return os << "(" << t.first << "," << t.second << ")"; } template <class S, class T> pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first + t.first, s.second + t.second); } template <class S, class T> pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); } const int INF = 1 << 28; const double EPS = 1e-8; const int MOD = 1000000007; struct UnionFind { vector<int> d; UnionFind(int n = 0) : d(n, -1) {} bool unite(int x, int y) { if ((x = root(x)) != (y = root(y))) { if (d[y] < d[x]) swap(x, y); d[x] += d[y]; d[y] = x; } return x != y; } bool find(int x, int y) { return root(x) == root(y); } int root(int x) { return d[x] < 0 ? x : d[x] = root(d[x]); } int size(int x = -1) { return x < 0 ? d.size() : -d[root(x)]; } }; bool dfs(vector<vector<int> > &g, vector<int> &color, int u, int c, vector<int> &trace) { color[u] = c; trace.push_back(u); for (int v : g[u]) { if (color[v] == c) return false; if (!color[v] && !dfs(g, color, v, -c, trace)) return false; } return true; } int n, m; int main() { ios::sync_with_stdio(0); cin.tie(0); scanf("%d%d", &n, &m); UnionFind ufr(n), ufb(n); vector<pair<int, int> > er, emplace_back; char pr = 'B'; for (int i = 0; i < (int)(m); i++) { int u, v; char c; scanf("%d%d %c", &u, &v, &c); u--; v--; if (pr != c) { swap(er, emplace_back); swap(ufr, ufb); } pr = c; er.emplace_back(u, v); ufb.unite(u, v); } vector<int> ans(n + 1); for (int _ = 0; _ < (int)(2); _++) { vector<vector<int> > g(n); for (auto e : er) { int u, v; tie(u, v) = e; u = ufr.root(u); v = ufr.root(v); g[u].push_back(v); g[v].push_back(u); } int f = 1; vector<int> color(n); int sum = 0; vector<int> v; vector<vector<int> > inv(n); for (int i = 0; i < (int)(n); i++) inv[ufr.root(i)].push_back(i); for (int i = 0; i < (int)(n); i++) if (ufr.root(i) == i && !color[i]) { vector<int> t; if (!dfs(g, color, i, 1, t)) f = 0; if (!f) break; vector<vector<int> > tmp(2); for (int u : t) for (int v : inv[u]) tmp[color[u] == 1].push_back(v); if (tmp[0].size() > tmp[1].size()) swap(tmp[0], tmp[1]); v.insert(v.end(), (tmp[0]).begin(), (tmp[0]).end()); } if (f) if (ans.size() > v.size()) swap(ans, v); swap(er, emplace_back); swap(ufr, ufb); } if (ans.size() == n + 1) cout << -1 << endl; else { cout << ans.size() << endl; for (int x : ans) cout << x + 1 << " "; cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename A, typename B> ostream &operator<<(ostream &s, const pair<A, B> &p) { return s << "(" << p.first << "," << p.second << ")"; } template <typename T> ostream &operator<<(ostream &s, const vector<T> &c) { s << "[ "; for (auto it : c) s << it << " "; s << "]"; return s; } const int MAXN = 101010; const int INF = 1029384756; int N, M; bool ans[MAXN]; vector<pair<int, char> > edge[MAXN]; int abest; int vis[MAXN]; int good, bad; vector<int> vlast; bool dfs(int v, int p, int c, char cc) { if (vis[v] != -1) return vis[v] == c; vis[v] = c; if (c) bad++; else good++; vlast.push_back(v); for (auto e : edge[v]) { int u = e.first; int dif = (e.second != cc); if (u == p) continue; if (!dfs(u, v, c ^ dif, cc)) return false; } return true; } void calc2(char cc) { for (int i = 0; i < N; i++) vis[i] = -1; for (int i = 0; i < N; i++) { if (vis[i] != -1) continue; good = bad = 0; vlast.clear(); bool res = dfs(i, -1, 0, cc); if (!res) return; if (bad > good) { for (auto v : vlast) vis[v] ^= 1; } } int total = 0; for (int i = 0; i < N; i++) total += vis[i]; if (total < abest) { abest = total; for (int i = 0; i < N; i++) ans[i] = vis[i]; } } void calc() { abest = INF; calc2('R'); calc2('B'); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> N >> M; for (int i = 0; i < M; i++) { int u, v; char c; cin >> u >> v >> c; u--; v--; edge[u].push_back({v, c}); edge[v].push_back({u, c}); } calc(); if (abest == INF) cout << -1 << endl; else { cout << abest << endl; for (int i = 0; i < N; i++) if (ans[i]) cout << i + 1 << " "; cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; vector<vector<int> > v0, v1; vector<int> solve(vector<vector<int> > v, int n, bool& has) { has = true; vector<int> res; vector<int> used(n + 1, -1); for (int i = 1; i <= n; i++) { if (used[i] != -1) continue; used[i] = 0; queue<int> q; vector<int> cmp; q.push(i); while (!q.empty()) { int x = q.front(); cmp.push_back(x); q.pop(); for (int to : v[x]) { int t = abs(to); int wnt = used[x]; if (to < 0) wnt ^= 1; if (used[t] == -1) { used[t] = wnt; q.push(t); continue; } if (used[t] != wnt) { has = false; return res; } } } int c0 = 0, c1 = 0; for (int x : cmp) { if (used[x] == 0) c0++; else c1++; } int swp = 0; if (c1 > c0) swp = 1; for (int x : cmp) { if (used[x] ^ swp) { res.push_back(x); } } } has = true; return res; } int main() { ios_base::sync_with_stdio(0); int n, m; cin >> n >> m; v0.resize(n + 1); v1.resize(n + 1); for (int i = 0; i < m; i++) { int x, y; cin >> x >> y; char c; cin >> c; if (c == 'B') { v0[x].push_back(y); v0[y].push_back(x); v1[x].push_back(-y); v1[y].push_back(-x); } else { v0[x].push_back(-y); v0[y].push_back(-x); v1[x].push_back(y); v1[y].push_back(x); } } bool tmp = false; bool has = false; vector<int> ans; vector<int> ans1 = solve(v0, n, tmp); if (tmp) { has = true; ans = ans1; } vector<int> ans2 = solve(v1, n, tmp); if (tmp) { if (has == false || ans.size() > ans2.size()) { ans = ans2; } has = true; } if (!has) { cout << -1 << endl; return 0; } cout << ans.size() << endl; sort(ans.begin(), ans.end()); for (int x : ans) cout << x << " "; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100005; const int logn = 10; const int inf = (int)2e9 + 5; const long long mod = (int)1e9 + 7; const long long base = 2204234849; const long long l_inf = (long long)4e18; const long double pi = acos(-1.0); const long double eps = 1e-12; int n, m; vector<pair<int, int> > g[maxn]; vector<int> g2[maxn]; int comp[maxn], it; bool used[maxn], used2[maxn]; int sz[maxn]; int col[maxn]; bool painted[maxn]; vector<int> ans; int best = inf; void dfs1(int v) { used[v] = true; comp[v] = it; for (pair<int, int> u : g[v]) { if (!used[u.first] && u.second == 0) dfs1(u.first); } } void dfs2(int v, bool &flag) { sz[comp[v]]++; used[v] = true; for (pair<int, int> u : g[v]) { if (comp[v] == comp[u.first] && u.second == 1) { flag = false; return; } if (u.second == 1) { int x = comp[v], y = comp[u.first]; g2[x].push_back(y); g2[y].push_back(x); } } for (pair<int, int> u : g[v]) { if (!used[u.first] && u.second == 0) dfs2(u.first, flag); if (!flag) return; } } bool good(int v, int dep) { col[v] = dep & 1; used[v] = true; for (int u : g2[v]) { if (!used[u] && !good(u, dep + 1)) return false; if (used[u] && col[v] == col[u]) return false; } return true; } void get(int v, int &a, int &b) { used[v] = true; col[v] == 0 ? a += sz[v] : b += sz[v]; for (int u : g2[v]) if (!used[u]) get(u, a, b); } void paint(int v, int c) { if (col[v] == c) painted[v] = true; used2[v] = true; for (int u : g2[v]) { if (!used2[u]) paint(u, c); } } void solve() { for (int i = 0; i < n; i++) { for (pair<int, int> &u : g[i]) u.second ^= 1; g2[i].clear(); } memset(used, false, sizeof used); memset(comp, 0, sizeof comp); memset(sz, 0, sizeof sz); it = 0; for (int i = 0; i < n; i++) { if (!used[i]) { dfs1(i); it++; } } memset(used, false, sizeof used); bool flag = true; for (int i = 0; i < n; i++) if (!used[i]) dfs2(i, flag); if (!flag) return; memset(used, false, sizeof used); memset(col, 0, sizeof col); for (int i = 0; i < it; i++) if (!used[i] && !good(i, 0)) return; memset(used, false, sizeof used); memset(used2, false, sizeof used2); memset(painted, false, sizeof painted); int cnt = 0; for (int i = 0; i < it; i++) { if (!used[i]) { int a = 0, b = 0; get(i, a, b); cnt += min(a, b); if (a < b) { paint(i, col[i]); } else { paint(i, col[i] ^ 1); } } } if (cnt < best) { best = cnt; ans.clear(); for (int i = 0; i < n; i++) if (painted[comp[i]]) ans.push_back(i + 1); } } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.precision(12); cout << fixed; srand(566); cin >> n >> m; for (int i = 0; i < m; i++) { int v, u; char c; cin >> v >> u >> c; v--, u--; g[v].push_back(make_pair(u, c == 'B')); g[u].push_back(make_pair(v, c == 'B')); } solve(); solve(); if (best == inf) { cout << -1; exit(0); } cout << best << '\n'; for (int a : ans) cout << a << ' '; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX = 100005; int N, M, V[MAX]; bool VV[MAX], flag; vector<pair<int, char> > adj[MAX]; vector<int> node[2]; void dfs(int cur, char c) { for (auto &it : adj[cur]) { int next = it.first; char t = it.second; if (V[next] == -1) { V[next] = (t == c) ? V[cur] : V[cur] ^ 1; node[V[next]].push_back(next); dfs(next, c); } else { int tt = (t == c) ? V[cur] : V[cur] ^ 1; if (V[next] != tt) { flag = false; return; } } } } vector<int> check(char c) { memset(V, -1, sizeof(V)); vector<int> ret; for (int i = 0; i < N; ++i) { if (V[i] == -1) { flag = true; V[i] = 0; node[0].clear(); node[1].clear(); node[0].push_back(i); dfs(i, c); if (!flag) return vector<int>(N + 1); for (int i = 0; i < 2; ++i) if (node[i].size() <= node[i ^ 1].size()) { ret.insert(ret.end(), node[i].begin(), node[i].end()); break; } } } return ret; } int main() { scanf("%d%d", &N, &M); for (int i = 0; i < M; ++i) { int a, b; char c; scanf("%d%d %c", &a, &b, &c); --a, --b; adj[a].push_back({b, c}); adj[b].push_back({a, c}); } vector<int> ans(N + 1); for (auto c : string("RB")) { vector<int> temp = check(c); if (temp.size() < ans.size()) ans = move(temp); } if (ans.size() > N) printf("-1\n"); else { printf("%d\n", ans.size()); for (int it : ans) printf("%d ", it + 1); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; int solve(vector<pair<int, bool> >* G, bool linked, vector<int>& grp, vector<bool>& gpp) { queue<pair<int, int> > q; int p = 0; int best = 0; int cg = 1; while (p < n) { while (grp[p] != 0 && p < n) { p++; } if (p >= n) { break; } q.push(make_pair(p, cg)); grp[p] = cg; cg++; int pcount = 1; int mcount = 0; while (!q.empty()) { auto t = q.front(); q.pop(); int nd = get<0>(t); int gp = get<1>(t); for (const auto& edge : G[nd]) { int tg = get<0>(edge); int et = get<1>(edge); if (et != linked) { if (grp[tg] == 0) { grp[tg] = gp; q.push(make_pair(tg, gp)); if (gp > 0) { pcount++; } else { mcount++; } } else if (grp[tg] != gp) { return n + 1; } } else { if (grp[tg] == 0) { grp[tg] = -gp; q.push(make_pair(tg, -gp)); if (gp > 0) { mcount++; } else { pcount++; } } else if (grp[tg] == gp) { return n + 1; } } } } if (pcount > mcount) { best += mcount; gpp.push_back(false); } else { best += pcount; gpp.push_back(true); } } return best; } int main() { ios::sync_with_stdio(false); int a, b; char c; cin >> n >> m; vector<pair<int, bool> > G[100000]; for (int i = 0; i < m; i++) { cin >> a >> b >> c; G[a - 1].push_back(make_pair(b - 1, c == 'R')); G[b - 1].push_back(make_pair(a - 1, c == 'R')); } vector<int> grpr(n, 0); vector<bool> gppr{true}; int r = solve(G, true, grpr, gppr); vector<int> grpl(n, 0); vector<bool> gppl{true}; int l = solve(G, false, grpl, gppl); if (r >= n && l >= n) { cout << -1; } else { if (r > l) { cout << l << endl; for (int i = 0; i < n; i++) { int gp = grpl[i]; int abs = gp < 0 ? (-gp) : gp; if (gppl[abs] != (gp < 0)) { cout << i + 1 << " "; } } } else { cout << r << endl; for (int i = 0; i < n; i++) { int gp = grpr[i]; int abs = gp < 0 ? (-gp) : gp; if (gppr[abs] != (gp < 0)) { cout << i + 1 << " "; } } } } cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100005; vector<pair<int, int> > G[N]; vector<int> com; bool vis[N]; int U, V; void dfs1(int u) { com.push_back(u); vis[u] = true; for (auto &x : G[u]) { if (x.second) { U = u; V = x.first; } if (vis[x.first]) continue; dfs1(x.first); } } int col[N]; int dfs2(int u) { vis[u] = true; int ret = 0; for (auto &x : G[u]) { if (vis[x.first]) { if (col[u] ^ col[x.first] ^ x.second) return 0x3f3f3f3f; } else { col[x.first] = col[u] ^ x.second; ret += col[x.first] + dfs2(x.first); if (ret >= 0x3f3f3f3f) return 0x3f3f3f3f; } } return ret; } vector<int> solve(int n) { vector<int> ret; memset(vis, 0, sizeof(vis)); for (int i = 1; i <= n; ++i) { if (vis[i]) continue; U = V = -1; com.clear(); dfs1(i); if (U == -1) continue; vector<int> a, b; for (auto x : com) vis[x] = false; col[U] = 1; int A = dfs2(U); for (auto x : com) { vis[x] = false; if (col[x]) a.push_back(x); } col[V] = 1; int B = dfs2(V); for (auto x : com) { if (col[x]) b.push_back(x); } if (A >= 0x3f3f3f3f && B >= 0x3f3f3f3f) { return vector<int>{-1}; } if (A > B) swap(a, b); for (auto x : a) ret.push_back(x); } return ret; } inline bool bad(vector<int> &a) { return (int)a.size() == 1 && a[0] == -1; } int main() { int n, m; scanf("%d%d", &n, &m); for (int u, v, i = 0; i < m; ++i) { char s[2]; scanf("%d%d%s", &u, &v, s); int c = *s == 'R'; G[u].push_back(make_pair(v, c)); G[v].push_back(make_pair(u, c)); } vector<int> A = solve(n); for (int i = 1; i <= n; ++i) { for (auto &x : G[i]) { x.second ^= 1; } } vector<int> B = solve(n); if (bad(A) && bad(B)) { puts("-1"); return 0; } if (bad(A) || (!bad(B) && B.size() < A.size())) { swap(A, B); } printf("%d\n", A.size()); for (auto x : A) printf("%d ", x); return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9 + 7; const int mod = INF; const int N = 1e6 + 7; const int T = 1 << 20; vector<vector<pair<int, int> > > G(N); set<int> visited; int klik[N]; int dfs(int start, int klik_w_typa, int do_jakiego, bool clear_vis = true) { if (clear_vis) visited.clear(); int ret = klik_w_typa; visited.insert(start); klik[start] = klik_w_typa; for (auto& [u, kol] : G[start]) if (!visited.count(u)) ret = min(ret + dfs(u, do_jakiego ^ klik[start] ^ kol, do_jakiego, false), INF); else if (do_jakiego ^ klik[start] ^ klik[u] ^ kol) ret = INF; return ret; } void solve() { int n, m; cin >> n >> m; for (int i = 1; i <= m; i++) { int a, b; char c; cin >> a >> b >> c; G[a].push_back({b, c == 'R'}); G[b].push_back({a, c == 'R'}); } vector<int> cost[2]; vector<int> czy_klikac[2]; set<int> global; for (int i = 1; i <= n; i++) { if (!global.count(i)) { for (int sign = 0; sign <= 1; sign++) { pair<int, int> wyn = {dfs(i, 0, sign), dfs(i, 1, sign)}; cost[sign].push_back(min(wyn.first, wyn.second)); czy_klikac[sign].push_back(wyn.first > wyn.second); } for (auto& u : visited) global.insert(u); } } int best_cost = INF; int best_sign = -1; for (int sign = 0; sign <= 1; sign++) if (accumulate(cost[sign].begin(), cost[sign].end(), 0ll) < best_cost) { best_cost = accumulate(cost[sign].begin(), cost[sign].end(), 0ll); best_sign = sign; } if (best_sign == -1) { cout << -1 << '\n'; exit(0); } global.clear(); int cnt = 0; for (int i = 1; i <= n; i++) if (!global.count(i)) { dfs(i, czy_klikac[best_sign][cnt++], best_sign); for (auto& u : visited) global.insert(u); } cout << best_cost << '\n'; for (int i = 1; i <= n; i++) if (klik[i]) cout << i << ' '; cout << '\n'; } signed main() { int test = 1; for (int i = 0; i < test; i++) solve(); }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; vector<pair<int, int> > adj[N]; int n, m, d[N]; vector<int> temp; long long dfs(int cur, int e, int t) { if ((~d[cur]) && (d[cur] ^ e) != t) return n + 1; if (~d[cur]) return 0; d[cur] = (e ^ t); if (d[cur]) temp.push_back(cur); long long ret = d[cur]; for (int i = 0; i < adj[cur].size(); ++i) { int to = adj[cur][i].first; int c = adj[cur][i].second; c ^= d[cur]; ret += dfs(to, c, t); } return ret; } void solve(vector<int> &vec, long long &out, int t) { memset(d, -1, sizeof d); vector<int> v1, v2; temp.clear(); for (int i = 0; i < n; ++i) { if (d[i] == -1) v1.push_back(dfs(i, 0, t)); } memset(d, -1, sizeof d); temp.clear(); for (int i = 0; i < n; ++i) { if (d[i] == -1) v2.push_back(dfs(i, 1, t)); } memset(d, -1, sizeof d); temp.clear(); int j = 0; out = 0; for (int i = 0; i < n; ++i) { if (d[i] == -1) { if (v1[j] < v2[j]) dfs(i, 0, t); else dfs(i, 1, t); out += min(v1[j], v2[j]); j++; } } vec = temp; } int main() { scanf("%d", &n), scanf("%d", &m); for (int i = 0; i < m; ++i) { int u, v; char c; scanf("%d", &u), scanf("%d", &v); u--, v--; scanf(" %c", &c); adj[u].push_back(pair<int, int>(v, (c == 'B' ? 0 : 1))); adj[v].push_back(pair<int, int>(u, (c == 'B' ? 0 : 1))); } long long out1, out2; vector<int> v1, v2; solve(v1, out1, 0); solve(v2, out2, 1); if (out1 > n && out2 > n) return puts("-1"); if (out2 < out1) swap(out1, out2), swap(v1, v2); cout << out1 << endl; for (int i = 0; i < v1.size(); ++i) printf("%d ", v1[i] + 1); }
#include <bits/stdc++.h> using namespace std; template <typename A, typename B> string to_string(pair<A, B> p); template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p); template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p); string to_string(const string& s) { return '"' + s + '"'; } string to_string(const char* s) { return to_string((string)s); } string to_string(bool b) { return (b ? "true" : "false"); } string to_string(vector<bool> v) { bool first = true; string res = "{"; for (int i = 0; i < static_cast<int>(v.size()); i++) { if (!first) { res += ", "; } first = false; res += to_string(v[i]); } res += "}"; return res; } template <size_t N> string to_string(bitset<N> v) { string res = ""; for (size_t i = 0; i < N; i++) { res += static_cast<char>('0' + v[i]); } return res; } template <typename A> string to_string(A v) { bool first = true; string res = "{"; for (const auto& x : v) { if (!first) { res += ", "; } first = false; res += to_string(x); } res += "}"; return res; } template <typename A, typename B> string to_string(pair<A, B> p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; } template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")"; } template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")"; } void debug_out() { cerr << endl; } template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); } const int maxn = 1e5 + 5; vector<pair<int, int> > V[maxn]; int color[maxn]; vector<int> num[3]; bool dfs(int u, int c, int flag) { color[u] = c; num[c].push_back(u); for (auto e : V[u]) { int v = e.first; int f = e.second; if (color[v] != -1) { if ((f ^ flag) == 0 && color[u] != color[v]) { return false; } else if ((f ^ flag) == 1 && color[u] == color[v]) { return false; } } else { if ((f ^ flag) == 0) { bool check = dfs(v, c, flag); if (!check) return false; } else { bool check = dfs(v, c ^ 1, flag); if (!check) return false; } } } return true; } int n, m; vector<int> work(int flag) { vector<int> ans; memset(color, -1, sizeof(color)); for (int i = 1; i <= n; i++) { if (color[i] == -1) { num[0].clear(); num[1].clear(); bool f = dfs(i, 0, flag); if (!f) { for (int i = 1; i <= n + 1; i++) { ans.push_back(1); } return ans; } int chose = 0; if (num[0].size() > num[1].size()) { chose = 1; } for (int j = 0; j < num[chose].size(); j++) { ans.push_back(num[chose][j]); } } } return ans; } int main() { scanf("%d %d", &n, &m); int u, v; char s; for (int i = 1; i <= m; i++) { scanf("%d %d %c", &u, &v, &s); int flag = (s == 'B'); V[u].push_back({v, flag}); V[v].push_back({u, flag}); } vector<int> ans = work(0); vector<int> ans2 = work(1); if (ans.size() > n && ans2.size() > n) { puts("-1"); return 0; } if (ans.size() > ans2.size()) { swap(ans, ans2); } cout << ans.size() << endl; for (auto v : ans) { printf("%d ", v); } puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 15; vector<pair<int, char> > G[maxn]; int N, M, co[maxn], ok1, ok2; char buffer[20]; vector<int> part[2]; bool dfs(int x, char target) { for (auto ev : G[x]) { int v = ev.first; char c = ev.second; if (c == target) { if (co[v] == -1) { co[v] = co[x]; part[co[v]].push_back(v); if (!dfs(v, target)) return false; } else if (co[v] != co[x]) return false; } else { if (co[v] == -1) { co[v] = co[x] ^ 1; part[co[v]].push_back(v); if (!dfs(v, target)) return false; } else if (co[v] == co[x]) return false; } } return true; } vector<int> solve(char target) { memset(co, -1, sizeof(co)); vector<int> res; for (int i = 1; i <= N; ++i) if (co[i] == -1) { for (int j = 0; j < 2; ++j) part[j].clear(); co[i] = 0; part[0].push_back(i); if (!dfs(i, target)) { if (target == 'B') ok1 = false; else ok2 = false; return res; } vector<int>& s = part[0]; if (s.size() > part[1].size()) s = part[1]; for (auto it : s) res.push_back(it); } if (target == 'B') ok1 = true; else ok2 = true; return res; } int main(int argc, char* argv[]) { scanf("%d%d", &N, &M); for (int i = 1; i <= M; ++i) { int u, v; scanf("%d%d%s", &u, &v, buffer); G[u].push_back(make_pair(v, buffer[0])); G[v].push_back(make_pair(u, buffer[0])); } bool ok = false; vector<int> ans; vector<int> ta = solve('B'); vector<int> tb = solve('R'); if (ok1 == true) ans = ta, ok = true; if (ok2 == true) { if (ok == false) ans = tb, ok = true; else if (tb.size() < ta.size()) ans = tb; } if (ok == false) printf("-1\n"); else { printf("%d\n", (int)ans.size()); for (auto it : ans) printf("%d ", it); printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename H> bool chmin(H& v1, const H v2) { if (v1 > v2) { v1 = v2; return true; } return false; } template <typename H> bool chmax(H& v1, const H v2) { if (v1 < v2) { v1 = v2; return true; } return false; } template <typename H> void read(H& head) { cin >> head; } template <typename H, typename... T> void read(H& head, T&... tail) { cin >> head; read(tail...); } template <typename H> void write(H head) { cout << head << '\n'; } template <typename H, typename... T> void write(H head, T... tail) { cout << head << " "; write(tail...); } template <typename... T> void writef(T... tail) { write(tail...); cout << flush; } template <typename... T> void die(T... tok) { write(tok...); exit(0); } template <typename T> ostream& operator<<(ostream& out, const vector<T>& v) { if (v.size()) { for (int i = 0; i < ((int)(v).size() - 1); ++i) out << v[i] << " "; out << v.back(); } return out; } using namespace std; struct Edge { int color; int target; }; vector<Edge> g[100005]; bool vis[100005]; int color[100005]; vector<int> component; bool fail = 0; void dfs(int x) { vis[x] = 1; component.push_back(x); for (const Edge& e : g[x]) { if (!vis[e.target]) { color[e.target] = (e.color ^ color[x]); dfs(e.target); } if (fail) return; if (color[e.target] != (e.color ^ color[x])) { fail = 1; return; } } } int main() { cin >> skipws; int n, m; read(n, m); for (int i = 0; i < (m); ++i) { int a, b; char c; read(a, b, c); c = c == 'B' ? 1 : 0; g[a].push_back((Edge){c, b}); g[b].push_back((Edge){c, a}); } vector<int> pans(n + 1); for (int j = 0; j < 2; j++) { for (int i = 1; i < (n + 1); ++i) color[i] = 0, vis[i] = 0; int fans = 0; for (int i = 1; i < (n + 1); ++i) if (!vis[i]) { component.clear(); dfs(i); if (fail) goto nextround; int cnt = 0; for (int j : component) cnt += color[j]; if (cnt > (int)(component).size() - cnt) { for (int j : component) color[j] ^= 1; cnt = (int)(component).size() - cnt; } fans += cnt; } if (fans < (int)(pans).size()) { pans.clear(); for (int i = 1; i < (n + 1); ++i) if (color[i]) pans.push_back(i); } nextround: fail = 0; for (int i = 1; i < (n + 1); ++i) for (auto& e : g[i]) e.color ^= 1; } if ((int)(pans).size() > n) die(-1); write((int)(pans).size()); for (int i : pans) cout << i << " "; cout << endl; }
#include <bits/stdc++.h> using namespace std; const int N = 200000; vector<pair<int, int> > lst[N]; int ans = 0; vector<int> tmp; bool used[N]; int st1[N]; bool gl[N]; int st[N]; int cnt = 0; bool dfs(int k) { used[k] = 1; tmp.push_back(k); cnt += st[k]; for (int i = 0; i < (int)lst[k].size(); i++) { int to = lst[k][i].first; if (!used[to]) { st[to] = (st[k] + lst[k][i].second) % 2; bool tt = dfs(to); if (!tt) return false; } else { if ((st[k] + st[to] + lst[k][i].second) % 2) return false; } } return true; } int n, m; void solve() { for (int i = 1; i <= n; i++) { used[i] = 0; st[i] = 0; } for (int i = 1; i <= n; i++) { if (!used[i]) { tmp.clear(); cnt = 0; if (!dfs(i)) { ans = 1e9; return; } if (tmp.size() - cnt < cnt) { ans += tmp.size() - cnt; for (int j = 0; j < (int)tmp.size(); j++) { st[tmp[j]] = 1 - st[tmp[j]]; } } else { ans += cnt; } } } } void bad() { cout << -1 << endl; exit(0); } int main() { ios::sync_with_stdio(0); cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v; char c; cin >> u >> v >> c; if (c == 'B') lst[u].push_back(make_pair(v, 0)); else lst[u].push_back(make_pair(v, 1)); if (c == 'B') lst[v].push_back(make_pair(u, 0)); else lst[v].push_back(make_pair(u, 1)); } solve(); for (int i = 1; i <= n; i++) { for (int j = 0; j < (int)lst[i].size(); j++) { lst[i][j].second = 1 - lst[i][j].second; } } int ans1 = ans; ans = 0; memcpy(st1, st, (n + 10) * sizeof(int)); solve(); if (ans > ans1) { swap(ans, ans1); swap(st, st1); } if (ans >= 1e9 - 1) { bad(); } cout << ans << endl; for (int i = 1; i <= n; i++) { if (st[i]) { cout << i << " "; } } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") using namespace std; const int maxN = 1 << 17; vector<int> g0[maxN], g1[maxN], K[maxN], *G, *H, temp[3]; int n, comp[maxN], col[maxN], sz[maxN]; bool fail, compInRes[maxN]; vector<int> res(maxN); void normal(vector<int>& v) { sort((v).begin(), (v).end()); v.resize(unique((v).begin(), (v).end()) - v.begin()); } void dfsComp(int v, int c) { comp[v] = c; sz[c]++; for (int u : G[v]) if (comp[u] == 0) dfsComp(u, c); } void dfsCol(int v, int c) { col[v] = c; temp[1 + c].push_back(v); for (int u : K[v]) { if (col[u] == col[v]) { fail = true; return; } if (col[u] == 0) dfsCol(u, -c); } } void solve() { for (int i = (1); i < (int)(n + 1); i++) { comp[i] = col[i] = sz[i] = compInRes[i] = 0; K[i].resize(0); } int c = 0; for (int i = (1); i < (int)(n + 1); i++) if (comp[i] == 0) dfsComp(i, ++c); for (int i = (1); i < (int)(n + 1); i++) for (int j : H[i]) { int a = comp[i], b = comp[j]; if (a == b) return; K[a].push_back(b); K[b].push_back(a); } for (int i = (1); i < (int)(c + 1); i++) normal(K[i]); fail = false; for (int i = (1); i < (int)(c + 1); i++) if (col[i] == 0) { dfsCol(i, 1); int s[3] = {0, 0, 0}; for (int j = (0); j < (int)(3); j++) for (int v : temp[j]) s[j] += sz[v]; int j = s[0] < s[2] ? 0 : 2; for (int v : temp[j]) compInRes[v] = true; for (int j = (0); j < (int)(3); j++) temp[j].resize(0); } if (fail) return; vector<int> prop(0); for (int i = (1); i < (int)(n + 1); i++) if (compInRes[comp[i]]) prop.push_back(i); if (prop.size() < res.size()) res = prop; } void ans() { if (res.size() == maxN) { printf("-1\n"); return; } printf("%d\n", (int)res.size()); for (int v : res) printf("%d ", v); printf("\n"); } int main() { int m; scanf("%d%d", &n, &m); while (m--) { int a, b; char c[3]; scanf("%d%d%s", &a, &b, c); G = c[0] == 'R' ? g0 : g1; G[a].push_back(b); G[b].push_back(a); } G = g0, H = g1; solve(); swap(G, H); solve(); ans(); return 0; }
#include <bits/stdc++.h> using namespace std; bool SR(int &x) { return scanf("%d", &x) == 1; } bool SR(long long &x) { return scanf("%lld", &x) == 1; } bool SR(double &x) { return scanf("%lf", &x) == 1; } bool SR(char *s) { return scanf("%s", s) == 1; } bool RI() { return true; } template <typename I, typename... T> bool RI(I &x, T &...tail) { return SR(x) && RI(tail...); } void SP(const int x) { printf("%d", x); } void SP(const long long x) { printf("%lld", x); } void SP(const double x) { printf("%.16lf", x); } void SP(const char *s) { printf("%s", s); } void PL() { puts(""); } template <typename I, typename... T> void PL(const I x, const T... tail) { SP(x); if (sizeof...(tail)) putchar(' '); PL(tail...); } const int maxn = 4e5 + 5; int n, m; int f[maxn], c[maxn]; vector<int> id[maxn]; void read() { RI(n, m); for (int i = (1); i <= int(m); i++) { int a, b; char s[2]; RI(a, b, s); f[i] = a ^ b; c[i] = (s[0] == 'B'); id[a].push_back(i); id[b].push_back(i); } } int to(int u, int i) { return u ^ f[i]; } int g[maxn]; vector<int> has[maxn]; bitset<maxn> vis; void dfs1(int u, int p) { g[u] = p; vis[u] = 1; has[p].push_back(u); for (auto i : id[u]) if (!vis[to(u, i)]) dfs1(to(u, i), p); } void build() { for (int i = (1); i <= int(n); i++) if (!vis[i]) dfs1(i, i); } int par[maxn << 1]; int find(int u) { return u == par[u] ? u : par[u] = find(par[u]); } void merge(int a, int b) { par[find(a)] = find(b); } vector<int> doo(int src) { for (auto u : has[src]) par[u << 1] = u << 1, par[u << 1 | 1] = u << 1 | 1; for (auto u : has[src]) for (auto i : id[u]) { merge(u << 1, (to(u, i) << 1) ^ c[i]); merge(u << 1 | 1, (to(u, i) << 1) ^ c[i] ^ 1); } if (find(src << 1) == find(src << 1 | 1)) return vector<int>(1, -1); int cnt = 0; for (auto u : has[src]) cnt += (find(u << 1) == find(src << 1)); if (cnt < ((int)(has[src]).size()) - cnt) { vector<int> ans; for (auto u : has[src]) if (find(u << 1) == find(src << 1)) ans.push_back(u); return ans; } else { vector<int> ans; for (auto u : has[src]) if (find(u << 1 | 1) == find(src << 1)) ans.push_back(u); return ans; } } void sol() { vector<int> ans1, ans2; for (int i = (1); i <= int(n); i++) if (g[i] == i) { vector<int> sub = doo(i); ans1.insert(ans1.end(), (sub).begin(), (sub).end()); } sort((ans1).begin(), (ans1).end()); for (int i = (1); i <= int(m); i++) c[i] ^= 1; for (int i = (1); i <= int(n); i++) if (g[i] == i) { vector<int> sub = doo(i); ans2.insert(ans2.end(), (sub).begin(), (sub).end()); } sort((ans2).begin(), (ans2).end()); if (((int)(ans1).size()) && ans1[0] == -1 && ((int)(ans2).size()) && ans2[0] == -1) { PL(-1); return; } if (((int)(ans1).size()) > ((int)(ans2).size())) ans1.swap(ans2); auto &ans = (((int)(ans1).size()) && ans1[0] == -1 ? ans2 : ans1); PL(((int)(ans).size())); for (int i = 0; i < int(((int)(ans).size())); i++) printf("%d%c", ans[i], " \n"[i == ((int)(ans).size()) - 1]); } int main() { read(); build(); sol(); return 0; }
#include <bits/stdc++.h> using namespace std; const long long LINF = 1e17 + 7; const int N = 1e5 + 7; const int INF = 2e9 + 7; const int MOD = 1e9 + 7; const double Pi = acos(-1.); const double EPS = 1e-8; vector<int> e[N], out[2]; int n, m, w, E[N], c[N], vis[N], que[N], ok[2]; char nxtChar() { char ch = getchar(); while (!(ch == 'R' || ch == 'B')) ch = getchar(); return ch; } void chg(int u) { for (int i = 0; i < ((int)(e[u].size())); ++i) c[e[u][i]] ^= 1; } bool check(int tail) { for (int i = 0; i < tail; ++i) { int u = que[i]; for (int j = 0; j < ((int)(e[u].size())); ++j) if (c[e[u][j]] != w) return false; } return true; } queue<int> Q; void bfs(int u, int t, vector<int> &r) { vis[u] = t, Q.push(u); while (!Q.empty()) { u = Q.front(); Q.pop(); for (int i = 0; i < ((int)(e[u].size())); ++i) { int v = E[e[u][i]] - u; if (vis[v] == t) continue; if (c[e[u][i]] != w) chg(v), r.push_back(v); vis[v] = t, Q.push(v); } } } void solve(int u) { int qh = 0, qt = 0, ans = -1; vis[u] = 1, que[qt++] = u; while (qh < qt) { u = que[qh++]; for (int i = 0; i < ((int)(e[u].size())); ++i) { int v = E[e[u][i]] - u; if (vis[v] == 1) continue; vis[v] = 1; que[qt++] = v; } } vector<int> ret[2]; u = que[0]; for (int i = 0; i < 2; ++i) { if (!i) chg(u), ret[i].push_back(u); bfs(u, 2 + i, ret[i]); if (check(qt) && (ans == -1 || ((int)(ret[ans].size())) > ((int)(ret[i].size())))) ans = i; for (int j = 0; j < ((int)(ret[i].size())); ++j) chg(ret[i][j]); } if (~ans) { for (int i = 0; i < ((int)(ret[ans].size())); ++i) out[w].push_back(ret[ans][i]); } else { ok[w] = false; } } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < m; ++i) { int u, v; scanf("%d%d", &u, &v); --u, --v; E[i] = u + v; c[i] = (nxtChar() == 'R'); e[u].push_back(i), e[v].push_back(i); } int ans = -1; for (w = 0; w < 2; ++w) { for (int i = 0; i < n; ++i) vis[i] = 0; ok[w] = true, out[w].clear(); for (int i = 0; i < n; ++i) if (vis[i] == 0) solve(i); if (ok[w] && (ans == -1 || ((int)(out[ans].size())) > ((int)(out[w].size())))) ans = w; } if (~ans) { printf("%d\n", ((int)(out[ans].size()))); for (int i = 0; i < ((int)(out[ans].size())); ++i) { if (i) putchar(' '); printf("%d", out[ans][i] + 1); } } else { puts("-1"); } return 0; }
#include <bits/stdc++.h> using namespace std; struct node { int num, next; char d; }; node e[200011]; int edge[100011]; int taile; void add(int xx, int yy, char d) { e[taile].num = yy; e[taile].d = d; e[taile].next = edge[xx]; edge[xx] = taile++; } int n, m; int ans; vector<int> ans0[2]; vector<int> ansa; vector<int> fin_ans0; int col[100011]; int num[2]; bool dfs(int now, char dd) { int i; for (i = edge[now]; i != -1; i = e[i].next) { if (col[e[i].num] == -1) { col[e[i].num] = (e[i].d == dd) ? col[now] : 1 - col[now]; num[col[e[i].num]]++; ans0[col[e[i].num]].push_back(e[i].num); if (dfs(e[i].num, dd) == false) return false; } else { if (((col[e[i].num] == col[now]) ^ (e[i].d == dd))) { return false; } } } return true; } int fin_ans; int main() { int i, j, k; int xx, yy; char d; scanf("%d %d", &n, &m); taile = 1; memset(edge, -1, sizeof(edge)); for (i = 1; i <= m; i++) { scanf("%d %d %c", &xx, &yy, &d); add(xx, yy, d); add(yy, xx, d); } fin_ans = 0x3f3f3f3f; ansa.clear(); ans = 0; memset(col, -1, sizeof(col)); for (i = 1; i <= n; i++) { if (col[i] == -1) { col[i] = 0; num[0] = 1; num[1] = 0; ans0[0].clear(); ans0[1].clear(); ans0[0].push_back(i); if (dfs(i, 'R') == false) { break; } if (num[0] <= num[1]) { ans += num[0]; for (j = 0; j < ans0[0].size(); j++) { ansa.push_back(ans0[0][j]); } } else { ans += num[1]; for (j = 0; j < ans0[1].size(); j++) { ansa.push_back(ans0[1][j]); } } } } if (i > n) { fin_ans = ans; fin_ans0 = ansa; } ans = 0; ansa.clear(); memset(col, -1, sizeof(col)); for (i = 1; i <= n; i++) { if (col[i] == -1) { col[i] = 0; num[0] = 1; num[1] = 0; ans0[0].clear(); ans0[1].clear(); ans0[0].push_back(i); if (dfs(i, 'B') == false) { break; } if (num[0] <= num[1]) { ans += num[0]; for (j = 0; j < ans0[0].size(); j++) { ansa.push_back(ans0[0][j]); } } else { ans += num[1]; for (j = 0; j < ans0[1].size(); j++) { ansa.push_back(ans0[1][j]); } } } } if (i > n) { if (fin_ans > ans) { fin_ans = ans; fin_ans0 = ansa; } } if (fin_ans != 0x3f3f3f3f) { cout << fin_ans << endl; } else { cout << -1 << endl; return 0; } if (fin_ans > 0) { for (i = 0; i < fin_ans0.size() - 1; i++) { cout << fin_ans0[i] << ' '; } cout << fin_ans0[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long maxn = 100005; vector<pair<long long, char>> adj[maxn]; signed main() { ios_base::sync_with_stdio(0); cin.tie(0); long long n, m; cin >> n >> m; for (long long i = 0; i < m; i++) { long long u, v; char c; cin >> u >> v >> c; adj[u].push_back({v, c}); adj[v].push_back({u, c}); } vector<long long> res(2e5, 0); for (long long c : {'R', 'B'}) { vector<long long> vec; bool vis[maxn], color[maxn]; for (long long i = 0; i <= n; i++) vis[i] = color[i] = false; for (long long i = 1; i <= n; i++) { if (vis[i]) continue; vector<long long> s, t; queue<long long> q; q.push(i); vis[i] = true; while (!q.empty()) { long long u = q.front(); q.pop(); if (color[u]) s.push_back(u); else t.push_back(u); for (pair<long long, char> e : adj[u]) { if (vis[e.first]) continue; if (e.second == c) color[e.first] = !color[u]; else color[e.first] = color[u]; vis[e.first] = true; q.push(e.first); } } if (s.size() < t.size()) for (long long u : s) vec.push_back(u); else for (long long u : t) vec.push_back(u); } bool ok = true; for (long long u = 1; u <= n; u++) { for (pair<long long, char> e : adj[u]) { if (e.second == c) ok &= color[e.first] != color[u]; else ok &= color[e.first] == color[u]; } } if (!ok) continue; if (vec.size() < res.size()) res = vec; } if (res.size() == 2e5) cout << "-1\n"; else { cout << res.size() << '\n'; for (long long i : res) cout << i << ' '; cout << '\n'; } }
#include <bits/stdc++.h> using namespace std; const int N = 100005; int n, m; int tp[N][2]; vector<pair<pair<int, int>, char>> ds; vector<pair<int, int>> adj[N][2]; vector<pair<int, int>> pa[2]; int pa_chosen; bool chosen[N], chosen_save[N]; int dfs(int u, int u2) { pa[pa_chosen].push_back({u, u2}); if (tp[u][1 - u2] != 0 && tp[u][1 - u2] == tp[u][u2]) return -1; int dem = 0; if (u2 == 1) dem++; for (auto ed : adj[u][u2]) { int v = ed.first; int cc = ed.second; if (tp[v][cc] == 0) { tp[v][cc] = tp[u][u2]; int tmp = dfs(v, cc); if (tmp == -1) return -1; dem += tmp; } } return dem; } void make_edge(int u, int u2, int v, int v2) { adj[u][u2].push_back({v, v2}); adj[v][v2].push_back({u, u2}); } int solve(char code) { for (int i = 1; i <= n; i++) { adj[i][0].clear(); adj[i][1].clear(); tp[i][0] = tp[i][1] = 0; chosen[i] = false; } for (auto &ed : ds) { int u = ed.first.first; int v = ed.first.second; char cc = ed.second; if (cc == code) { make_edge(u, 0, v, 0); make_edge(u, 1, v, 1); } else { make_edge(u, 1, v, 0); make_edge(u, 0, v, 1); } } int ans = 0; int cnt = 0; for (int i = 1; i <= n; i++) { if (tp[i][0] != 0) continue; cnt++; tp[i][0] = cnt; pa[0].clear(); pa[1].clear(); pa_chosen = 0; int res = dfs(i, 0); if (res == -1) return -1; pa_chosen = 1; cnt++; tp[i][1] = cnt; int res2 = dfs(i, 1); if (res < res2) { ans += res; for (auto v : pa[0]) { if (v.second == 1) chosen[v.first] = true; } } else { ans += res2; for (auto v : pa[1]) { if (v.second == 1) chosen[v.first] = true; } } } return ans; } int main() { scanf("%d%d", &n, &m); while (m--) { int u, v; char c; scanf("%d %d %c", &u, &v, &c); ds.push_back({{u, v}, c}); } int ans = solve('B'); for (int i = 1; i <= n; i++) chosen_save[i] = chosen[i]; int ans2 = solve('R'); if (ans2 >= 0 && (ans < 0 || ans2 < ans)) ans = ans2; else { for (int i = 1; i <= n; i++) chosen[i] = chosen_save[i]; } printf("%d\n", ans); if (ans >= 0) { for (int i = 1; i <= n; i++) if (chosen[i]) printf("%d ", i); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; const int SIZ_TREE = 3e5 + 10; int n, m; struct Node { int u, v; Node(int U = 0, int V = 0) { u = U, v = V; if (u < v) swap(u, v); } bool operator<(const Node A) const { if (u < A.u || (u == A.u && v < A.v)) return true; return false; } }; vector<int> f[N], ans[2]; vector<Node> edg; map<Node, bool> col; bool v[N], opr[N], flag1, flag2, add[N]; int cnt_p, cnt_opr; void init() { char s; int x, y; scanf("%d %d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d %d", &x, &y); while ((s = getchar()) == ' ') ; f[y].push_back(x); f[x].push_back(y); edg.push_back(Node(x, y)); col[Node(x, y)] = (s == 'R' ? false : true); } } bool dfs(int x) { v[x] = true; cnt_p++; cnt_opr += opr[x]; for (int i = 0; i < f[x].size(); i++) { int y = f[x][i]; if (v[y]) { if ((col[Node(x, y)] ^ opr[x] ^ opr[y]) == true) return false; } else { opr[y] = col[Node(x, y)] ^ opr[x]; if (!dfs(y)) return false; } } return true; } void add_ans(int x, bool s1, int s2) { if (add[x]) return; opr[x] ^= s1; add[x] = true; if (opr[x]) ans[s2].push_back(x); for (int i = 0; i < f[x].size(); i++) add_ans(f[x][i], s1, s2); } bool solve(int sign) { memset(opr, 0, sizeof(opr)); memset(v, 0, sizeof(v)); memset(add, 0, sizeof(add)); for (int i = 1; i <= n; i++) if (!v[i]) { cnt_opr = cnt_p = 0; if (!dfs(i)) return false; add_ans(i, (cnt_opr * 2 > cnt_p), sign); } return true; } void print(int s) { printf("%d\n", ans[s].size()); for (int i = 0; i < ans[s].size(); i++) printf("%d ", ans[s][i]); printf("\n"); } void work() { flag1 = solve(0); for (int i = 0; i < edg.size(); i++) col[edg[i]] = (!col[edg[i]]); flag2 = solve(1); if (!flag1 && !flag2) printf("-1\n"); else if (flag1 && !flag2) print(0); else if (!flag1 && flag2) print(1); else if (ans[0].size() < ans[1].size()) print(0); else print(1); } int main() { init(); work(); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxN = 100 * 1000 + 100; pair<int, int> edge[maxN]; char t[maxN]; int par[maxN]; int dfind(int u) { return par[u] < 0 ? u : par[u] = dfind(par[u]); } void merge(int u, int v) { u = dfind(u); v = dfind(v); if (u == v) return; if ((-par[u] < -par[v])) swap(u, v); par[u] += par[v]; par[v] = u; } int n, m; vector<int> c[maxN]; int mark[maxN]; int cnt1, cnt2; void dfs(int s, int co = 0) { mark[s] = 1 + co; if (co) cnt2 += -par[s]; else cnt1 += -par[s]; for (auto x : c[s]) if (!mark[x]) dfs(x, 1 - co); } int gg[maxN]; void dpr(int s, int good, int co = 0) { mark[s] = 3 + co; if (good == co) gg[s] = true; for (auto x : c[s]) if (mark[x] < 3) dpr(x, good, 1 - co); } int solve(char ch, bool pr = 0) { memset(par, -1, sizeof par); for (int i = 0; i < m; i++) if (t[i] == ch) merge(edge[i].first, edge[i].second); for (int i = 0; i < n; i++) c[i].clear(); for (int i = 0; i < m; i++) if (t[i] != ch) { int u = dfind(edge[i].first), v = dfind(edge[i].second); if (u == v) return maxN; c[u].push_back(v); c[v].push_back(u); } memset(mark, 0, sizeof mark); int ans = 0; for (int i = 0; i < n; i++) if (!mark[i] && par[i] < 0) { cnt1 = cnt2 = 0; dfs(i); ans += min(cnt1, cnt2); if (pr) { if (cnt1 < cnt2) dpr(i, 0); else dpr(i, 1); } } for (int i = 0; i < n; i++) for (auto x : c[i]) if (mark[i] == mark[x]) return maxN; if (pr) { cout << ans << endl; for (int i = 0; i < n; i++) if (gg[dfind(i)]) cout << i + 1 << ' '; cout << endl; } return ans; } int main() { cin >> n >> m; for (int i = 0; i < m; i++) { cin >> edge[i].first >> edge[i].second >> t[i]; edge[i].first--; edge[i].second--; } char B = 'B', R = 'R'; int a = solve(B); int b = solve(R); if (a == b && b == maxN) cout << -1 << endl; else if (a < b) solve(B, 1); else solve(R, 1); }
#include <bits/stdc++.h> using namespace std; const int maxn = int(1e5) + 100; const int oo = int(1e8); struct LINK { int id, next, type; }; int n, m; int now; int ans1, ans2; int choose; int tail; int q[maxn]; int h[maxn]; bool done[maxn], vis[maxn]; bool rev[maxn]; LINK t[maxn * 2]; int getnum() { char ch; while ((ch = getchar()) != 'R' && ch != 'B') ; return (ch == 'R'); } void join(int u, int v, int ty) { t[now].id = v; t[now].next = h[u]; t[now].type = ty; h[u] = now++; t[now].id = u; t[now].next = h[v]; t[now].type = ty; h[v] = now++; } void init() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; ++i) h[i] = -1; for (int i = 1; i <= m; ++i) { int u, v, type; scanf("%d%d", &u, &v); type = getnum(); join(u, v, type); } } void bfs(int st) { int head = 1; tail = 1; q[1] = st; done[st] = true; while (head <= tail) { int cur = q[head++]; for (int i = h[cur]; i > -1; i = t[i].next) if (!done[t[i].id]) { q[++tail] = t[i].id; done[t[i].id] = true; } } } int calc(int c) { rev[q[1]] = c; for (int i = 1; i <= tail; ++i) vis[q[i]] = false; vis[q[1]] = true; for (int i = 1; i <= tail; ++i) { int cur = q[i]; for (int j = h[cur]; j > -1; j = t[j].next) { if (vis[t[j].id] && ((t[j].type ^ rev[cur] ^ rev[t[j].id]) != choose)) return oo; if (vis[t[j].id]) continue; rev[t[j].id] = t[j].type ^ rev[cur] ^ choose; vis[t[j].id] = true; } } int s = 0; for (int i = 1; i <= tail; ++i) s += rev[q[i]]; return s; } int doit() { int ans = 0; for (int i = 1; i <= n; ++i) done[i] = false; for (int i = 1; i <= n; ++i) if (!done[i]) { bfs(i); int tmp = min(calc(0), calc(1)); if (tmp == oo) return oo; ans += tmp; } return ans; } void print() { for (int i = 1; i <= n; ++i) done[i] = false; for (int i = 1; i <= n; ++i) if (!done[i]) { bfs(i); int tmp = calc(0); if (calc(1) > tmp) calc(0); } for (int i = 1; i <= n; ++i) if (rev[i]) printf("%d ", i); printf("\n"); } void solve() { choose = 1; ans1 = doit(); choose = 0; ans2 = doit(); if (ans1 <= ans2) choose = 1; if (min(ans1, ans2) == oo) { printf("-1\n"); return; } if (choose == 1) printf("%d\n", ans1); else printf("%d\n", ans2); print(); } int main() { init(); solve(); return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:1073741824") #pragma warning(disable : 4996) using namespace std; const int N = 1e5 + 100, INF = 1e9; vector<pair<int, int>> v[N]; int col[N], ch[2][N], used[N]; int g = 0, f = 2; long long int dfs(int node, int t) { long long int r = 0; used[node] = f; col[node] = t; r += t; for (auto p : v[node]) { int to = p.first, nd = p.second ^ t ^ g; if (used[to] == f) { if (nd != col[to]) return INF; } else r += dfs(to, nd); } return r; } int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 0; i < m; i++) { int x, y; char a; scanf("%d%d %c", &x, &y, &a); x--, y--; v[x].push_back({y, a == 'R'}); v[y].push_back({x, a == 'R'}); } int q = 0; long long int ans = INF, cur; for (; g < 2; g++) { memset(used, 0, sizeof(used)); ; memset(col, 0, sizeof(col)); ; cur = 0; for (int i = 0; i < n; i++) { if (!used[i]) { long long int cc = dfs(i, 0); f++; long long int r = dfs(i, 1); if (r < cc) { cc = r; ch[g][i] = 1; } cur += cc; } } if (cur < ans) { ans = cur; q = g; } } if (ans < INF) { printf("%lld\n", ans); memset(col, 0, sizeof(col)); ; memset(used, 0, sizeof(used)); ; g = q; for (int i = 0; i < n; i++) { if (!used[i]) dfs(i, ch[q][i]); } for (int i = 0; i < n; i++) { if (col[i]) printf("%d ", i + 1); } } else printf("-1"); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, ans = INT_MAX, va[100005], vb[100005], par[100005]; vector<int> vv[100005], tv[2], aa, bb, hv[100005]; bool vc[100005], v[100005], dd[100005]; char x[5]; int find(int a) { if (par[a] == a) return a; return par[a] = find(par[a]); } bool ok(int a, bool b) { if (v[a]) return dd[a] == b; v[a] = 1; dd[a] = b; for (int c = 0; c < hv[a].size(); c++) tv[b].push_back(hv[a][c]); for (int c = 0; c < vv[a].size(); c++) if (!ok(vv[a][c], !b)) return 0; return 1; } void go(bool a) { bb.clear(); for (int b = 1; b <= n; b++) par[b] = b, vv[b].clear(), v[b] = 0, hv[b].clear(); for (int b = 0; b < m; b++) if (vc[b] == a) par[find(va[b])] = find(vb[b]); for (int b = 0; b < m; b++) if (vc[b] != a) { if (find(va[b]) == find(vb[b])) return; vv[par[va[b]]].push_back(par[vb[b]]); vv[par[vb[b]]].push_back(par[va[b]]); } for (int b = 1; b <= n; b++) hv[find(b)].push_back(b); for (int b = 1; b <= n; b++) if (par[b] == b && !v[b]) { tv[0].clear(), tv[1].clear(); if (!ok(b, 0)) return; if (tv[0].size() < tv[1].size()) for (int c = 0; c < tv[0].size(); c++) bb.push_back(tv[0][c]); else for (int c = 0; c < tv[1].size(); c++) bb.push_back(tv[1][c]); } if (bb.size() < ans) aa = bb, ans = bb.size(); } int main() { scanf("%d%d", &n, &m); for (int a = 0; a < m; a++) { scanf("%d%d%s", va + a, vb + a, x); vc[a] = (x[0] == 'R'); } go(0), go(1); if (ans == INT_MAX) printf("-1\n"); else { printf("%d\n", ans); for (int a = 0; a < ans; a++) printf("%d ", aa[a]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxN = (int)1e5 + 10; vector<pair<int, int> > g[maxN]; int n, m; int used[maxN]; int getColor(char z) { if (z == 'B') return 0; else return 1; } vector<int> ans_for_comp[2]; int curcolor[maxN]; bool dfs(int v, int color, int f, int p = -1) { bool ok = true; used[v] = f; for (auto t : g[v]) { int to = t.first; int clr = t.second; if (to == p) { if (((clr ^ color) ^ curcolor[to]) == 1) { curcolor[v] = 1; ans_for_comp[f].push_back(v); } else curcolor[v] = 0; } } for (auto t : g[v]) { int to = t.first; if (used[to] != f) ok &= dfs(to, color, f, v); int clr = t.second; if ((clr ^ color) != (curcolor[to] ^ curcolor[v])) ok = false; } return ok; } vector<int> ans; vector<int> curans; bool ok[2]; bool go(int v, int color) { for (int i = 0; i < 2; i++) { ans_for_comp[i].clear(); curcolor[v] = i; ok[i] = dfs(v, color, i); if (i == 1) ans_for_comp[i].push_back(v); } int mn = n + 10; for (int i = 0; i < 2; i++) { if (ok[i]) mn = min(mn, (int)ans_for_comp[i].size()); } for (int i = 0; i < 2; i++) { if (ok[i] && (mn == ans_for_comp[i].size())) { for (int j : ans_for_comp[i]) curans.push_back(j); break; } } return (mn < (n + 10)); } bool solve(int color) { memset(used, -1, sizeof used); curans.clear(); bool ok = true; for (int i = 1; i <= n; i++) { if (used[i] == -1) { ok &= go(i, color); } } return ok; } int main() { cin >> n >> m; for (int i = 1; i <= m; i++) { int x, y; char z; cin >> x >> y >> z; g[x].push_back(make_pair(y, getColor(z))); g[y].push_back(make_pair(x, getColor(z))); } ans.resize(n + 10); for (int color = 0; color < 2; color++) { if (solve(color)) { if (curans.size() < ans.size()) ans = curans; } } if (ans.size() > n) { cout << -1; } else { cout << ans.size() << '\n'; for (int i : ans) cout << i << " "; } return 0; }
#include <bits/stdc++.h> using namespace std; long long k1, k2, n, m, use[200000], use1[200000]; vector<pair<int, int> > edge[200000]; vector<int> dp[2][2], aa, bb; int dfs(int i, int j) { int sum = 0; if (use[i]) aa.push_back(i); for (auto v : edge[i]) { int k = (use[i] + v.second) % 2, p = 0; if (k != j) p = 1; if (use[v.first] != -1) { if (use[v.first] != p) { return n + 1; } } else { use[v.first] = p; sum += p + dfs(v.first, j); } } return sum; } int dfs1(int i, int j) { int sum = 0; if (use1[i]) bb.push_back(i); for (auto v : edge[i]) { int k = (use1[i] + v.second) % 2, p = 0; if (k != j) p = 1; if (use1[v.first] != -1) { if (use1[v.first] != p) return n + 1; } else { use1[v.first] = p; sum += p + dfs1(v.first, j); } } return sum; } signed main() { iostream::sync_with_stdio(0); cin.tie(0); cin >> n >> m; for (int i = 0; i < int(m); i++) { int a, b; char c; cin >> a >> b >> c; a--; b--; int k = 0; if (c == 'R') k = 1; edge[a].push_back({b, k}); edge[b].push_back({a, k}); } long long ans = n + 1; int nu; for (int j = 0; j <= 1; j++) { for (int i = 0; i < int(n); i++) { use[i] = -1; use1[i] = -1; } long long k = 0; for (int i = 0; i < int(n); i++) { if (use[i] == -1) { use[i] = 0; aa.resize(0); bb.resize(0); if (dfs(i, j) > n) aa.resize(n + 1); use1[i] = 1; if (dfs1(i, j) > n) bb.resize(n + 1); k += min((int)aa.size(), (int)bb.size()); } } ans = min(ans, k); if (ans == k) { nu = j; } } if (ans == n + 1) { cout << -1; return 0; } cout << ans << "\n"; for (int i = 0; i < int(n); i++) { use[i] = -1; use1[i] = -1; } int j = nu; vector<long long> ans1; for (int i = 0; i < int(n); i++) { if (use[i] == -1) { use[i] = 0; aa.resize(0); bb.resize(0); if (dfs(i, j) > n) aa.resize(n + 1); use1[i] = 1; if (dfs1(i, j) > n) bb.resize(n + 1); if ((int)aa.size() < (int)bb.size()) { for (int i = 0; i < int((int)aa.size()); i++) ans1.push_back(aa[i] + 1); } else for (int i = 0; i < int((int)bb.size()); i++) ans1.push_back(bb[i] + 1); } } sort(ans1.begin(), ans1.end()); for (int i = 0; i < int((int)ans1.size()); i++) cout << ans1[i] << " "; return 0; }
#include <bits/stdc++.h> using namespace std; bool all_good; vector<int> w[2]; vector<int> v1[200000]; vector<int> v2[200000]; int color[200000]; vector<int> res; int n, m; int x[200000]; int y[200000]; char q[200000]; void dfs(int x, int c) { w[c].push_back(x); if (!all_good) return; color[x] = c; for (int i = 0; i < v1[x].size(); i++) { int to = v1[x][i]; if (color[to] == -1) { dfs(to, 1 - c); } else { if (color[to] == color[x]) { all_good = false; return; } } } for (int i = 0; i < v2[x].size(); i++) { int to = v2[x][i]; if (color[to] == -1) { dfs(to, c); } else { if (color[to] != color[x]) { all_good = false; return; } } } } vector<int> solve(char qq) { res.clear(); all_good = true; for (int i = 1; i <= n; i++) { v1[i].clear(); v2[i].clear(); color[i] = -1; } for (int i = 1; i <= m; i++) if (q[i] == qq) { v1[x[i]].push_back(y[i]); v1[y[i]].push_back(x[i]); } else { v2[x[i]].push_back(y[i]); v2[y[i]].push_back(x[i]); } for (int i = 1; i <= n; i++) if (color[i] == -1) { w[0].clear(); w[1].clear(); dfs(i, 0); if (w[0].size() > w[1].size()) swap(w[0], w[1]); for (int j = 0; j < w[0].size(); j++) res.push_back(w[0][j]); } if (!all_good) { res.clear(); res.push_back(-1); } return res; } void prnt(vector<int> a) { cout << a.size() << "\n"; for (int i = 0; i < a.size(); i++) cout << a[i] << ' '; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n >> m; bool fr = true; bool fb = true; for (int i = 1; i <= m; i++) { cin >> x[i] >> y[i] >> q[i]; if (q[i] == 'B') fb = false; else fr = false; } if (fb || fr) { cout << "0\n"; return 0; } vector<int> ans1 = solve('B'); vector<int> ans2 = solve('R'); if (ans1[0] == -1 && ans2[0] == -1) { cout << "-1\n"; return 0; } if (ans2[0] == -1 || (ans1[0] != -1 && ans1.size() < ans2.size())) prnt(ans1); else prnt(ans2); }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; using ii = pair<ll, ll>; using vi = vector<ll>; using vb = vector<bool>; using vvi = vector<vi>; using vii = vector<ii>; using vvii = vector<vii>; const int INF = 2000000000; const ll LLINF = 9000000000000000000; bool optimal(int N, vvii &E, int &opt, vb &flip) { bool consistent = true; vi status(N, -1LL); vi comp(N, -1LL); int C = 0; for (int u = 0; u < N; ++u) { if (status[u] >= 0) continue; comp[u] = C; status[u] = 0LL; queue<int> q; q.push(u); while (!q.empty()) { int v = q.front(); q.pop(); for (ii wt : E[v]) { int w = wt.first, t = wt.second; if (status[w] == -1LL) { status[w] = (status[v] + t) % 2; comp[w] = C; q.push(w); } else { if (t == 0 && status[w] != status[v]) consistent = false; if (t == 1 && status[w] == status[v]) consistent = false; } } } ++C; } vvi side(2, vi(C, 0LL)); for (int u = 0; u < N; ++u) { side[status[u]][comp[u]]++; } opt = 0; flip.assign(N, false); vb comp_flip(C, false); for (int c = 0; c < C; ++c) { if (side[0][c] > side[1][c]) comp_flip[c] = true; opt += min(side[0][c], side[1][c]); } for (int u = 0; u < N; ++u) { if (status[u] == 0 && !comp_flip[comp[u]]) flip[u] = true; if (status[u] == 1 && comp_flip[comp[u]]) flip[u] = true; } return consistent; } int main() { ios::sync_with_stdio(false); cin.tie(NULL); ll N, M; cin >> N >> M; vvii E(N, vii()); while (M--) { int u, v; char c; cin >> u >> v >> c; --u; --v; E[u].push_back({v, (c == 'R' ? 1 : 0)}); E[v].push_back({u, (c == 'R' ? 1 : 0)}); } int boptv = INF, roptv = INF; vb bflip, rflip; bool bopt = optimal(N, E, boptv, bflip); for (int u = 0; u < N; ++u) { for (size_t i = 0; i < E[u].size(); ++i) E[u][i].second = 1 - E[u][i].second; } bool ropt = optimal(N, E, roptv, rflip); if (!bopt && !ropt) cout << -1 << endl; else { vb &ans = bflip; if (!bopt || (ropt && roptv < boptv)) { ans = rflip; } vi ansv; for (int i = 0; i < N; ++i) if (ans[i]) ansv.push_back(i + 1); cout << ansv.size() << endl; for (size_t i = 0; i < ansv.size(); ++i) cout << ansv[i] << " \n"[i + 1 == ansv.size()]; } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 10; int n, m, vis[maxn]; vector<int> G[maxn], col[maxn]; vector<int> part[2]; bool dfs(int u, int c, int p) { if (vis[u] != -1) return vis[u] == p; vis[u] = p; part[p].push_back(u); for (int i = 0; i < G[u].size(); ++i) { if (!dfs(G[u][i], c, col[u][i] == c ? p : p ^ 1)) return 0; } return 1; } vector<int> solve(int c) { vector<int> ans; memset(vis, -1, sizeof vis); for (int i = 1; i <= n; ++i) { if (vis[i] == -1) { part[0].clear(); part[1].clear(); if (!dfs(i, c, 0)) { for (int i = 0; i < n + 1; ++i) ans.push_back(-1); return ans; } int f = 0; if (part[0].size() > part[1].size()) f = 1; ans.insert(ans.end(), part[f].begin(), part[f].end()); } } return ans; } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < m; ++i) { int a, b; char s[2]; scanf("%d%d%s", &a, &b, s); G[a].push_back(b); col[a].push_back(s[0] == 'B' ? 0 : 1); G[b].push_back(a); col[b].push_back(s[0] == 'B' ? 0 : 1); } vector<int> a = solve(0), b = solve(1); if (a.size() > b.size()) a = b; if (a.size() > n) puts("-1"); else { printf("%d\n", a.size()); for (auto x : a) printf("%d ", x); puts(""); } return 0; }
#include <bits/stdc++.h> #pragma warning(disable : 4244 4267 4018 4996 4800) using namespace std; istream& in = cin; ostream& out = cout; template <class T> void read(T& t) { for (auto& x : t) in >> x; } template <class T> int sz(T const& t) { return (int)t.size(); } int n, m; vector<vector<int>> edges; int col; vector<vector<int>> color; vector<int> mark, toggled, visited; bool dfs(int v) { mark[v] = 1; visited.push_back(v); for (int idx = 0; idx < edges[v].size(); ++idx) { int to = edges[v][idx]; int c = color[v][idx]; if (toggled[v]) c = 1 - c; if (mark[to]) { if (toggled[to] != (c != col)) return false; } else { toggled[to] = c != col; if (!dfs(to)) return false; } } return true; } int main() { ios_base::sync_with_stdio(false); in >> n >> m; edges.resize(n); color.resize(n); for (int i = 0; i < m; ++i) { int a, b; char c; in >> a >> b >> c; --a; --b; edges[a].push_back(b); edges[b].push_back(a); color[a].push_back(c == 'R'); color[b].push_back(c == 'R'); } vector<int> answer[2]; bool answer_found[2] = {true, true}; for (col = 0; col < 2; ++col) { mark.assign(n, 0); toggled.assign(n, 0); for (int i = 0; i < n; ++i) { if (!mark[i]) { visited.clear(); toggled[i] = 0; vector<int> cur1, cur2; bool found1 = false, found2 = false; if (dfs(i)) { found1 = true; for (int j = 0; j < visited.size(); ++j) if (toggled[visited[j]]) { cur1.push_back(visited[j]); } } for (int j = 0; j < visited.size(); ++j) toggled[visited[j]] = mark[visited[j]] = 0; visited.clear(); toggled[i] = 1; if (dfs(i)) { found2 = 1; for (int j = 0; j < visited.size(); ++j) if (toggled[visited[j]]) { cur2.push_back(visited[j]); } } if (!found1 && !found2) { answer_found[col] = false; break; } if (found1 && (!found2 || cur1.size() < cur2.size())) answer[col].insert(answer[col].end(), begin(cur1), end(cur1)); else answer[col].insert(answer[col].end(), begin(cur2), end(cur2)); } } } if (!answer_found[0] && !answer_found[1]) out << -1; else { vector<int> a; if (answer_found[0] && (!answer_found[1] || answer[0].size() < answer[1].size())) a = answer[0]; else a = answer[1]; out << a.size() << "\n"; for (int i = 0; i < a.size(); ++i) out << a[i] + 1 << " "; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; vector<vector<pair<int, char> > > G; vector<bool> V; bool contains(const unordered_set<int>& s, int k) { return s.find(k) != s.end(); } void dfs(int nr, char color, unordered_set<int>& A, unordered_set<int>& B) { if (!V[nr]) { V[nr] = true; for (int i = 0; i < G[nr].size(); i++) { int nr1 = G[nr][i].first; if (G[nr][i].second == color) { if (contains(A, nr) || contains(A, nr1)) { A.insert(nr); A.insert(nr1); } else { B.insert(nr); B.insert(nr1); } } else { if (contains(A, nr) || contains(B, nr1)) { A.insert(nr); B.insert(nr1); } else { A.insert(nr1); B.insert(nr); } } dfs(nr1, color, A, B); } } } bool check(const unordered_set<int>& A, const unordered_set<int>& B) { for (int i : A) { if (contains(B, i)) return false; } return true; } bool makeDFS(char color, unordered_set<int>& res) { for (int i = 0; i < n; i++) { unordered_set<int> A; unordered_set<int> B; dfs(i, color, A, B); if (!check(A, B)) return false; if (A.size() <= B.size()) res.insert(A.begin(), A.end()); else res.insert(B.begin(), B.end()); } return true; } void print(unordered_set<int>& s) { cout << s.size() << endl; for (int i : s) { cout << i + 1 << " "; } cout << endl; } int main() { cin >> n >> m; G.resize(n); V.resize(n); for (int i = 0; i < m; i++) { int a, b; char c; cin >> a >> b >> c; G[a - 1].push_back(make_pair(b - 1, c)); G[b - 1].push_back(make_pair(a - 1, c)); } unordered_set<int> minR; bool red = makeDFS('R', minR); for (int i = 0; i < n; i++) { V[i] = false; } unordered_set<int> minB; bool blue = makeDFS('B', minB); if (!red && !blue) cout << "-1\n"; else if (red && blue) { if (minR.size() <= minB.size()) print(minR); else print(minB); } else if (red) { print(minR); } else { print(minB); } }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100010; const int mod = 1000000007; const int inf = (1 << 30); const long long infll = (1LL << 60); int n, m; vector<pair<int, int> > adj[MAXN]; int vis[MAXN]; vector<int> res[2]; bool fucked = false; void dfs(int u, int p, int cl) { if (vis[u]) { if (vis[u] != p) fucked = true; return; } vis[u] = p; res[p - 1].push_back(u); for (int i = 0; i < adj[u].size(); i++) { int v = adj[u][i].first; int c = adj[u][i].second; if (c == cl) dfs(v, p, cl); else dfs(v, p ^ 3, cl); } } vector<int> ret; bool solve(int cl) { memset(vis, 0, sizeof vis); ret = vector<int>(); for (int i = 1; i <= n; i++) { fucked = false; if (vis[i]) continue; res[0] = res[1] = vector<int>(); dfs(i, 1, cl); int f = 0; if (res[1].size() < res[0].size()) f = 1; if (fucked) return false; ret.insert(ret.end(), res[f].begin(), res[f].end()); } return true; } int main() { scanf("%d%d", &n, &m); while (m--) { int u, v, cl; char s[2]; scanf("%d%d%s", &u, &v, s); cl = s[0] == 'R' ? 1 : 0; adj[u].emplace_back(v, cl); adj[v].emplace_back(u, cl); } vector<int> ans = {-1}; if (solve(0)) ans = ret; if (solve(1)) { if (ret.size() <= ans.size() || (ans.size() == 1 && ans[0] == -1)) ans = ret; } if (ans.size() == 1 && ans[0] == -1) puts("-1"); else { printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) printf("%d ", ans[i]); } }
#include <bits/stdc++.h> using namespace std; template <typename T> inline T abs(T t) { return t < 0 ? -t : t; } const long long modn = 1000000007; inline long long mod(long long x) { return x % modn; } const int MAXN = 212345; int n, m, k; int s[MAXN]; int mrk[MAXN]; int cor[MAXN]; int fodeu[2]; vector<pair<int, int> > adj[MAXN]; vector<int> res[2], cnt[2]; void go(int u, int c) { ; mrk[u] = 1; for (pair<int, int> nxt : adj[u]) { if (mrk[nxt.first]) { if (nxt.second == c && cor[u] != cor[nxt.first]) fodeu[c] = 1; else if (nxt.second == 1 - c && cor[u] == cor[nxt.first]) fodeu[c] = 1; continue; } if (nxt.second == c) { cnt[cor[u]].push_back(nxt.first); cor[nxt.first] = cor[u]; go(nxt.first, c); } else { cor[nxt.first] = 1 - cor[u]; cnt[cor[nxt.first]].push_back(nxt.first); go(nxt.first, c); } } } void print(int x) { printf("%d\n", (int)res[x].size()); for (int u : res[x]) { printf("%d ", u); } printf("\n"); } int main() { scanf("%d%d", &n, &m); for (int a = 0; a < m; a++) { int u, v; char c; scanf("%d %d %c", &u, &v, &c); adj[u].push_back(pair<int, int>(v, (c == 'B'))); adj[v].push_back(pair<int, int>(u, (c == 'B'))); } for (int b = 0; b < 2; b++) { for (int a = 1; a <= n; a++) { if (mrk[a]) continue; cor[a] = 0; cnt[0].push_back(a); go(a, b); int i = 1; if (cnt[0].size() < cnt[1].size()) i = 0; for (int v : cnt[i]) { res[b].push_back(v); } cnt[0].clear(); cnt[1].clear(); } for (int a = 1; a <= n; a++) { cor[a] = 0; mrk[a] = 0; } } if (fodeu[0] && fodeu[1]) puts("-1"); else if (fodeu[0]) print(1); else if (fodeu[1]) print(0); else { if (res[0].size() < res[1].size()) print(0); else print(1); } }
#include <bits/stdc++.h> using namespace std; const long double PI = acos(-1.0); const int N = 1e5 + 4; vector<int> cur[2]; int vis[N]; vector<pair<int, int> > adjlist[N]; vector<pair<pair<int, int>, int> > edg; int c[N]; void dfs(int node, int color) { c[node] = color; vis[node] = 1; cur[color].push_back(node); for (auto i : adjlist[node]) { int parity = i.second; int j = i.first; if (!vis[j]) { dfs(j, color ^ parity); } } } void solve() { int n, m; cin >> n >> m; for (int i = 0; i < m; ++i) { int u, v; char type; cin >> u >> v >> type; int w = (type == 'B'); edg.push_back(make_pair(make_pair(u, v), w)); adjlist[u].push_back(make_pair(v, w)); adjlist[v].push_back(make_pair(u, w)); } vector<int> ans; for (int i = 1; i < n + 1; ++i) { if (!vis[i]) { for (int j = 0; j < 2; ++j) cur[j].clear(); dfs(i, 0); if ((int)cur[0].size() > (int)cur[1].size()) { swap(cur[0], cur[1]); } for (int j : cur[0]) ans.push_back(j); } } int f1 = 1; for (int i = 0; i < m; ++i) { int u = edg[i].first.first; int v = edg[i].first.second; int w = edg[i].second; if ((c[u] ^ c[v]) != w) { f1 = 0; break; } } for (int i = 0; i < m; ++i) { edg[i].second ^= 1; } for (int i = 1; i < n + 1; ++i) { for (auto &j : adjlist[i]) { j.second ^= 1; } } int f2 = 1; memset(vis, 0, sizeof vis); memset(c, 0, sizeof c); vector<int> ans2; for (int i = 1; i < n + 1; ++i) { if (!vis[i]) { for (int j = 0; j < 2; ++j) cur[j].clear(); dfs(i, 0); if ((int)cur[0].size() > (int)cur[1].size()) { swap(cur[0], cur[1]); } for (int j : cur[0]) ans2.push_back(j); } } for (int i = 0; i < m; ++i) { int u = edg[i].first.first; int v = edg[i].first.second; int w = edg[i].second; if ((c[u] ^ c[v]) != w) { f2 = 0; break; } } if (!f1 && !f2) { cout << -1 << '\n'; return; } else if (f1 && f2) { if ((int)ans.size() > (int)ans2.size()) { swap(ans, ans2); } } else if (f2) { swap(ans2, ans); } cout << (int)ans.size() << '\n'; for (int i : ans) { cout << i << ' '; } cout << '\n'; } signed main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int t = 1; while (t--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; int was[100100][2]; vector<vector<pair<int, char> > > g; vector<int> res[2]; bool possible[2]; vector<int> now; void dfs(int v, int p, char ch) { if (was[v][p]) return; now.push_back(v); was[v][p] = 1; for (int i = (0); i < (g[v].size()); ++i) { int np = p; if (g[v][i].second != ch) np ^= 1; dfs(g[v][i].first, np, ch); } } char s[5]; char all[3]; vector<int> ans; int main() { int n, m; cin >> n >> m; g.resize(n); for (int i = (0); i < (m); ++i) { int v1, v2; scanf("%d%d%s", &v1, &v2, s); v1--; v2--; g[v1].push_back(make_pair(v2, s[0])); g[v2].push_back(make_pair(v1, s[0])); } all[0] = 'R'; all[1] = 'B'; for (int it = (0); it < (2); ++it) { memset((was), (0), sizeof(was)); possible[it] = true; for (int i = (0); i < (n); ++i) { if ((was[i][0] == 0) && (was[i][1] == 0)) { now.clear(); dfs(i, 0, all[it]); bool ok = true; int cnt0 = 0; int cnt1 = 0; for (int j = (0); j < (now.size()); ++j) { int v = now[j]; if (was[v][0]) cnt0++; else cnt1++; if ((was[v][0]) && (was[v][1])) { ok = false; break; } } if (!ok) { possible[it] = false; break; } for (int j = (0); j < (now.size()); ++j) { int v = now[j]; if (was[v][0] && (cnt0 < cnt1)) res[it].push_back(v); if (was[v][1] && (cnt0 >= cnt1)) res[it].push_back(v); } } } } if ((!possible[0]) && (!possible[1])) { cout << -1 << endl; return 0; } if ((possible[0]) && ((possible[1] == false) || (res[0].size() <= res[1].size()))) ans = res[0]; else ans = res[1]; printf("%d\n", ans.size()); for (int i = (0); i < (ans.size()); ++i) { if (i) printf(" "); printf("%d", ans[i] + 1); } printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; const double EPS = 1e-9; const double PI = acos(-1); const int INF = (int)1e9 + 9; const int MAXN = (int)3e5 + 7; int n, m; int a[MAXN]; int b[MAXN]; int c[MAXN]; bool used[MAXN]; int comp[MAXN]; int on[MAXN]; vector<int> g[MAXN]; vector<int> gd[MAXN]; vector<int> grev[MAXN]; int t(int x) { return x + x; } int first(int x) { return (x + x) ^ 1; } vector<int> order; void dfs1(int v) { used[v] = true; for (size_t i = 0; i < g[v].size(); ++i) { int to = g[v][i]; if (!used[to]) dfs1(to); } order.push_back(v); } void dfs2(int v, int cl) { comp[v] = cl; for (size_t i = 0; i < grev[v].size(); ++i) { int to = grev[v][i]; if (comp[to] == -1) dfs2(to, cl); } } int cc, sz; vector<int> li; void go(int x) { used[x] = 1; if (on[x]) cc++; sz++; li.push_back(x); for (auto to : gd[x]) if (!used[to]) go(to); } vector<int> solve(int target) { for (int i = 0; i < n + n; i++) { g[i].clear(); grev[i].clear(); } order.clear(); for (int i = 1; i <= m; i++) { if (c[i] == target) { g[first(a[i])].push_back(first(b[i])); g[t(b[i])].push_back(t(a[i])); g[t(a[i])].push_back(t(b[i])); g[first(b[i])].push_back(first(a[i])); } else { g[first(a[i])].push_back(t(b[i])); g[first(b[i])].push_back(t(a[i])); g[t(a[i])].push_back(first(b[i])); g[t(b[i])].push_back(first(a[i])); } } for (int i = 0; i < n + n; i++) { for (auto j : g[i]) { grev[j].push_back(i); } } memset(used, 0, sizeof used); for (int i = 0; i < n + n; i++) { if (!used[i]) dfs1(i); } memset(comp, -1, sizeof comp); for (int i = 0, j = 0; i < n + n; i++) { int v = order[n + n - i - 1]; if (comp[v] == -1) dfs2(v, j++); } vector<int> no_sol; for (int i = 0; i < n + n; i++) no_sol.push_back(i); for (int i = 0; i < n; i++) { if (comp[i + i] == comp[i + i + 1]) { return no_sol; } } memset(on, 0, sizeof on); vector<int> cnt; for (int i = 0; i < n; i++) { if (comp[i + i] > comp[i + i + 1]) on[i] = 1; } memset(used, 0, sizeof used); for (int i = 0; i < n; i++) { if (!used[i]) { cc = 0; sz = 0; li.clear(); go(i); int inv = 0; if (sz - cc < cc) { inv = 1; } for (auto it : li) { if (on[it] ^ inv) cnt.push_back(it); } } } return cnt; } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { char ch; scanf("\n%d %d %c", &a[i], &b[i], &ch); a[i]--; b[i]--; c[i] = (ch == 'R'); } for (int i = 1; i <= m; i++) { gd[a[i]].push_back(b[i]); gd[b[i]].push_back(a[i]); } vector<int> l = solve(0); vector<int> r = solve(1); if (l.size() < r.size()) swap(l, r); if (r.size() == n + n) { cout << -1; return 0; } printf("%d\n", r.size()); for (auto it : r) printf("%d ", it + 1); return 0; }
#include <bits/stdc++.h> using namespace std; const int oo = 1E9; const int MAXN = 100010; int par[MAXN], sub[MAXN]; int neg[MAXN]; void Init() { for (int i = 0; i < MAXN; ++i) par[i] = i, sub[i] = 1, neg[i] = -1; } int GetPar(int vr) { return par[vr] == vr ? vr : par[vr] = GetPar(par[vr]); } int Merge(int a, int b) { if (a == -1 || b == -1) return a == -1 ? b : a; a = GetPar(a); b = GetPar(b); if (a != b) par[a] = b, sub[b] += sub[a]; return b; } bool InOne(int a, int b) { if (a == -1 || b == -1) return false; return GetPar(a) == GetPar(b); } int Neg(int vr) { return vr == -1 ? -1 : neg[vr]; } void SetNeg(int a, int b) { if (a != -1) neg[a] = b; if (b != -1) neg[b] = a; } bool Same(int a, int b) { a = GetPar(a), b = GetPar(b); int ap = Neg(a), bp = Neg(b); if (InOne(a, bp) || InOne(b, ap)) return false; int x = Merge(a, b); int y = Merge(ap, bp); SetNeg(x, y); return true; } bool Diff(int a, int bp) { a = GetPar(a), bp = GetPar(bp); int ap = Neg(a), b = Neg(bp); if (InOne(a, bp) || InOne(b, ap)) return false; int x = Merge(a, b); int y = Merge(ap, bp); SetNeg(x, y); return true; } int n, m; vector<pair<int, int> > edj; vector<char> col; int Steps(char type) { Init(); for (int i = 0; i < m; ++i) if (col[i] == type) { if (!Same(edj[i].first, edj[i].second)) return oo; } else { if (!Diff(edj[i].first, edj[i].second)) return oo; } int sum = 0; for (int i = 0; i < n; ++i) if (par[i] == i) { int a = i, b = Neg(i); if (a > b) { int as = sub[a]; int bs = (b != -1) ? sub[b] : 0; sum += min(as, bs); } } return sum; } int main() { scanf("%d%d", &n, &m); char tmp[5]; edj.resize(m), col.resize(m); for (int i = 0; i < m; ++i) scanf("%d%d%s", &edj[i].first, &edj[i].second, tmp), --edj[i].first, --edj[i].second, col[i] = tmp[0]; int best = oo, cur; char btype = '?'; cur = Steps('B'); if (cur < best) best = cur, btype = 'B'; cur = Steps('R'); if (cur < best) best = cur, btype = 'R'; if (best == oo) puts("-1"); else { printf("%d\n", best); Steps(btype); set<int> act; for (int i = 0; i < n; ++i) if (par[i] == i) { int a = i, b = Neg(i); if (a > b) { int as = sub[a]; int bs = (b != -1) ? sub[b] : 0; if (as > bs) act.insert(b); else act.insert(a); } } vector<int> ans; for (int i = 0; i < n; ++i) if (act.count(GetPar(i))) ans.push_back(i); for (int i = 0; i < ((int)(ans).size()); ++i) printf("%d%c", ans[i] + 1, (i + 1 == ((int)(ans).size())) ? '\n' : ' '); } return 0; }
#include <bits/stdc++.h> using namespace std; #pragma comment(linker, "/STACK:667772160") template <class T1> void deb(T1 e1) { cout << e1 << endl; } template <class T1, class T2> void deb(T1 e1, T2 e2) { cout << e1 << " " << e2 << endl; } template <class T1, class T2, class T3> void deb(T1 e1, T2 e2, T3 e3) { cout << e1 << " " << e2 << " " << e3 << endl; } template <class T1, class T2, class T3, class T4> void deb(T1 e1, T2 e2, T3 e3, T4 e4) { cout << e1 << " " << e2 << " " << e3 << " " << e4 << endl; } template <class T1, class T2, class T3, class T4, class T5> void deb(T1 e1, T2 e2, T3 e3, T4 e4, T5 e5) { cout << e1 << " " << e2 << " " << e3 << " " << e4 << " " << e5 << endl; } template <class T1, class T2, class T3, class T4, class T5, class T6> void deb(T1 e1, T2 e2, T3 e3, T4 e4, T5 e5, T6 e6) { cout << e1 << " " << e2 << " " << e3 << " " << e4 << " " << e5 << " " << e6 << endl; } vector<int> graph[100000 + 7], ans, color[100000 + 7], part[3]; int visit[100000 + 7]; bool dfs(int u, int grp, int cl) { if (visit[u]) return (bool)(visit[u] == grp); part[grp].push_back(u); visit[u] = grp; int v, cr; for (int i = 0; i < graph[u].size(); i++) { v = graph[u][i]; cr = color[u][i]; if (!dfs(v, cr == cl ? grp : grp ^ 3, cl)) return 0; } return true; } bool cal(int cl, int n) { memset(visit, 0, sizeof(visit)); ans.clear(); for (int i = 1; i <= n; i++) { if (visit[i]) continue; part[1].clear(); part[2].clear(); if (!dfs(i, 1, cl)) return 0; if (part[1].size() < part[2].size()) ans.insert(ans.end(), part[1].begin(), part[1].end()); else ans.insert(ans.end(), part[2].begin(), part[2].end()); } return true; } int main() { int n, m, u, v; char ch; scanf("%d %d", &n, &m); for (int i = 0; i < m; i++) { scanf("%d %d %c", &u, &v, &ch); graph[u].push_back(v); graph[v].push_back(u); int col = (ch == 'B'); color[u].push_back(col); color[v].push_back(col); } vector<int> res; bool isok = true; if (cal(1, n)) { isok = false; res = ans; } if (cal(0, n)) { if (isok or ans.size() < res.size()) res = ans; isok = false; } if (!isok) { deb(res.size()); for (int i = 0; i < res.size(); i++) { if (i) printf(" "); printf("%d", res[i]); } printf("\n"); } else deb(-1); return 0; }
#include <bits/stdc++.h> using namespace std; const int MX = 100000; int n, vis[MX]; vector<pair<int, char>> G[MX]; vector<int> part[3]; bool dfs(int v, int p, char c) { if (vis[v] != 0) { return vis[v] == p; } vis[v] = p; part[p].push_back(v); for (auto x : G[v]) { if (dfs(x.first, x.second == c ? p : p ^ 3, c) == false) return false; } return true; } vector<int> solve(char c) { memset(vis, 0, sizeof vis); vector<int> ans; for (int i = 0; i < n; i++) if (vis[i] == 0) { part[1].clear(); part[2].clear(); if (dfs(i, 1, c) == false) { for (int j = 0; j < n + 1; j++) ans.push_back(-1); return ans; } int f = 1; if (part[2].size() < part[1].size()) f = 2; ans.insert(ans.end(), part[f].begin(), part[f].end()); } return ans; } int main() { int m; scanf("%d %d", &n, &m); for (int i = 0; i < m; i++) { int u, v; char c; scanf("%d %d %c", &u, &v, &c); u--; v--; G[u].emplace_back(v, c); G[v].emplace_back(u, c); } auto f = solve('R'); auto g = solve('B'); if (g.size() < f.size()) f = g; if (f.size() > n) { printf("-1\n"); return 0; } printf("%d\n", (int)f.size()); for (int x : f) printf("%d ", x + 1); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; template <class S, class T> ostream& operator<<(ostream& o, const pair<S, T>& p) { return o << "(" << p.first << "," << p.second << ")"; } template <class T> ostream& operator<<(ostream& o, const vector<T>& vc) { o << "sz = " << vc.size() << endl << "["; for (const T& v : vc) o << v << ","; o << "]"; return o; } int N, M; vector<pair<int, int> > G[100000]; bool vis[100000]; bool f[100000]; vector<int> ad; bool dfs(int v, int p, bool B) { vis[v] = 1; for (pair<int, int> e : G[v]) { int u = e.first; if (u == p) continue; if (vis[u]) { if ((e.second ^ f[u] ^ f[v]) != B) return false; continue; } if ((e.second ^ f[v]) != B) { ad.push_back(u); f[u] = 1; } if (!dfs(u, v, B)) return false; } return true; } void dfss(vector<int>& vs, int v) { vis[v] = 1; vs.push_back(v); for (pair<int, int> e : G[v]) { int u = e.first; if (!vis[u]) dfss(vs, u); } } int main() { cin >> N >> M; for (int i = 0; i < (int)(M); i++) { int a, b; char c; cin >> a >> b >> c; a--, b--; G[a].push_back(pair<int, int>(b, c == 'B')); G[b].push_back(pair<int, int>(a, c == 'B')); } bool ok1 = 1, ok2 = 1; vector<int> ans1, ans2; for (int i = 0; i < (int)(N); i++) if (!vis[i]) { ad.clear(); vector<int> t; bool ok = 0; vector<int> vs; dfss(vs, i); for (int v : vs) vis[v] = 0; if (dfs(i, -1, 0) && (!ok || t.size() > ad.size())) t = ad, ok = 1; ad.clear(); for (int v : vs) vis[v] = 0, f[v] = 0; f[i] = 1, ad.push_back(i); if (dfs(i, -1, 0) && (!ok || t.size() > ad.size())) t = ad, ok = 1; ad.clear(); for (int v : vs) vis[v] = 0, f[v] = 0; if (ok) { for (int a : t) ans1.push_back(a); } else { ok1 = 0; } ok = 0; t.clear(); if (dfs(i, -1, 1) && (!ok || t.size() > ad.size())) t = ad, ok = 1; ad.clear(); for (int v : vs) vis[v] = 0, f[v] = 0; f[i] = 1, ad.push_back(i); if (dfs(i, -1, 1) && (!ok || t.size() > ad.size())) t = ad, ok = 1; ad.clear(); for (int v : vs) vis[v] = 1; if (ok) { for (int a : t) ans2.push_back(a); } else { ok2 = 0; } } if (!ok1 && !ok2) { puts("-1"); return 0; } vector<int> ans; if (ok1) ans = ans1; if (!ok1 && ok2) ans = ans2; if (ok1 && ok2) { if (ans1.size() > ans2.size()) ans = ans2; } cout << ans.size() << endl; for (int a : ans) cout << a + 1 << endl; }
#include <bits/stdc++.h> using namespace std; const int N = 100005; vector<pair<int, char> > G[N]; vector<int> part[3]; int vis[N], n, m; bool dfs(int x, int p, char ch) { if (vis[x]) return vis[x] == p; vis[x] = p; part[p].push_back(x); for (auto i : G[x]) { if (dfs(i.first, i.second == ch ? p : p ^ 3, ch) == false) return false; } return true; } vector<int> solve(char ch) { memset(vis, 0, sizeof vis); vector<int> ans; for (int i = 1; i <= n; i++) { if (!vis[i]) { part[1].clear(); part[2].clear(); if (dfs(i, 1, ch) == false) { for (int i = 1; i <= n + 1; i++) ans.push_back(-1); return ans; } int flag = 1; if (part[2].size() < part[1].size()) flag = 2; ans.insert(ans.end(), part[flag].begin(), part[flag].end()); } } return ans; } int main() { scanf("%d%d", &n, &m); char str[2]; for (int i = 1; i <= m; i++) { int u, v; scanf("%d%d%s", &u, &v, str); G[u].push_back(make_pair(v, str[0])); G[v].push_back(make_pair(u, str[0])); } auto res1 = solve('R'), res2 = solve('B'); if (res2.size() < res1.size()) res1 = res2; if (res1.size() > n) return puts("-1") & 0; printf("%d\n", res1.size()); for (auto i : res1) printf("%d ", i); return 0; }
#include <bits/stdc++.h> using namespace std; struct edge { char c; int u, v; edge(int _u, int _v, char _c) { c = _c; u = _u; v = _v; } }; int n; vector<vector<edge> > graph; vector<int> used; vector<bool> col; vector<int> last_comp; int dfs(int u, char to, bool do_color, int cur_used) { used[u] = cur_used; int ans = do_color; col[u] = do_color; last_comp.push_back(u); for (edge e : graph[u]) { if (used[e.v] != cur_used) { int t = dfs(e.v, to, do_color == (e.c == to), cur_used); if (t == 1791791791) return 1791791791; ans += t; } else if (col[e.v] != (do_color == (e.c == to))) { return 1791791791; } } return ans; } int gl_cur_used = 0; vector<bool> in_comp; int get_min(char to) { in_comp.clear(); int ans = 0; gl_cur_used++; for (int i = 0; i < n; i++) { if (used[i] != gl_cur_used) { int a1 = dfs(i, to, false, gl_cur_used); for (int u : last_comp) used[u] = -1; last_comp.clear(); int a2 = dfs(i, to, true, gl_cur_used); last_comp.clear(); if (a1 == a2 && a2 == 1791791791) return 1791791791; else if (a1 < a2) { in_comp.push_back(false); ans += a1; } else { in_comp.push_back(true); ans += a2; } } } return ans; } void build_ans(char to) { get_min(to); gl_cur_used++; int j = 0; for (int i = 0; i < n; i++) { if (used[i] != gl_cur_used) { dfs(i, to, in_comp[j], gl_cur_used); j++; } } } int main() { int m; cin >> n >> m; graph.resize(n); for (int i = 0; i < m; i++) { int u, v; char c; cin >> u >> v >> c; u--; v--; graph[u].push_back(edge(u, v, c)); graph[v].push_back(edge(v, u, c)); } used.resize(n, -1); col.resize(n); int a1 = get_min('B'), a2 = get_min('R'); if (a1 == a2 && a2 == 1791791791) { cout << -1 << endl; return 0; } if (a1 < a2) build_ans('B'); else build_ans('R'); cout << min(a1, a2) << endl; for (int i = 0; i < n; i++) if (col[i]) cout << i + 1 << " "; cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; void getre() { int x = 0; printf("%d\n", 1 / x); } void gettle() { int res = 1; while (1) res <<= 1; printf("%d\n", res); } template <typename T, typename S> inline bool upmin(T &a, const S &b) { return a > b ? a = b, 1 : 0; } template <typename T, typename S> inline bool upmax(T &a, const S &b) { return a < b ? a = b, 1 : 0; } template <typename N, typename PN> inline N flo(N a, PN b) { return a >= 0 ? a / b : -((-a - 1) / b) - 1; } template <typename N, typename PN> inline N cei(N a, PN b) { return a > 0 ? (a - 1) / b + 1 : -(-a / b); } template <typename N> N gcd(N a, N b) { return b ? gcd(b, a % b) : a; } template <typename N> inline int sgn(N a) { return a > 0 ? 1 : (a < 0 ? -1 : 0); } inline void gn(long long &x) { int sg = 1; char c; while (((c = getchar()) < '0' || c > '9') && c != '-') ; c == '-' ? (sg = -1, x = 0) : (x = c - '0'); while ((c = getchar()) >= '0' && c <= '9') x = x * 10 + c - '0'; x *= sg; } inline void gn(int &x) { long long t; gn(t); x = t; } inline void gn(unsigned long long &x) { long long t; gn(t); x = t; } inline void gn(double &x) { double t; scanf("%lf", &t); x = t; } inline void gn(long double &x) { double t; scanf("%lf", &t); x = t; } inline void gs(char *s) { scanf("%s", s); } inline void gc(char &c) { while ((c = getchar()) > 126 || c < 33) ; } inline void pc(char c) { putchar(c); } inline long long sqr(long long a) { return a * a; } inline double sqrf(double a) { return a * a; } const int inf = 0x3f3f3f3f; const double pi = 3.14159265358979323846264338327950288L; const double eps = 1e-6; const int mo = 1; int qp(int a, long long b) { int n = 1; do { if (b & 1) n = 1ll * n * a % mo; a = 1ll * a * a % mo; } while (b >>= 1); return n; } struct ed { int u, v, d; void read() { gn(u); gn(v); char c; gc(c); if (c == 'B') d = 0; else d = 1; } } e[111111]; int n, m; int mi = inf; vector<int> an; int fa[322222]; int xa[222222], xb[222222]; int gf(int x) { return x == fa[x] ? x : fa[x] = gf(fa[x]); } void un(int x, int y) { x = gf(x); y = gf(y); if (x != y) { fa[x] = y; } } int ne[222222]; void work(int d) { memset((xa), (0), sizeof(xa)); memset((xb), (0), sizeof(xb)); for (int i = (1), _ed = (3 * n + 1); i < _ed; i++) fa[i] = i; for (int i = (1), _ed = (m + 1); i < _ed; i++) { int u = e[i].u, v = e[i].v; if (d == e[i].d) { un(u, v); un(u + n, v + n); } else { un(u, v + n); un(v, u + n); } un(u + 2 * n, v + 2 * n); } for (int i = (1), _ed = (n + 1); i < _ed; i++) if (gf(i) == gf(i + n)) return; for (int i = (1), _ed = (n + 1); i < _ed; i++) { int r = gf(i + 2 * n) - 2 * n; if (gf(i) == gf(r)) xa[r]++; else xb[r]++; } int su = 0; for (int i = (1), _ed = (n + 1); i < _ed; i++) { su += min(xa[i], xb[i]); ne[i] = xa[i] < xb[i]; } if (su < mi) { mi = su; an.clear(); for (int i = (1), _ed = (n + 1); i < _ed; i++) { int r = gf(i + 2 * n) - 2 * n; if ((gf(i) == gf(r)) == ne[r]) an.push_back(i); } } } int main() { gn(n); gn(m); for (int i = (1), _ed = (m + 1); i < _ed; i++) e[i].read(); for (int d = 0; d <= 1; d++) work(d); if (mi == inf) printf("-1\n"); else { printf("%d\n", mi); for (int i = (0), _ed = (((int)(an).size())); i < _ed; i++) printf("%d ", an[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int _N = 100010; const int _M = _N << 1; const int INF = 1000000000; int n, m, numE, Fir[_N]; int ed[_M], tp[_M], Next[_M]; void addE(int x, int y, int z) { ed[++numE] = y, tp[numE] = z, Next[numE] = Fir[x], Fir[x] = numE; ed[++numE] = x, tp[numE] = z, Next[numE] = Fir[y], Fir[y] = numE; } int fa[_N], sta[_N], save[_N], numZ; int re[2][_N], now, res[2]; void dfs(int u) { save[++save[0]] = u, numZ += sta[u]; for (int e = Fir[u]; e; e = Next[e]) { int v = ed[e]; if (fa[v]) continue; fa[v] = u, sta[v] = sta[u] ^ tp[e], dfs(v); } } void solve() { for (int i = 1; i <= n; i++) fa[i] = 0; for (int i = 1; i <= n; i++) if (!fa[i]) { fa[i] = -1, sta[i] = 1, numZ = save[0] = 0, dfs(i); for (int j = 1; j <= save[0]; j++) for (int e = Fir[save[j]]; e; e = Next[e]) if (tp[e] != sta[save[j]] ^ sta[ed[e]]) { res[now] = INF; return; } if (numZ > save[0] - numZ) for (int j = 1; j <= save[0]; j++) sta[save[j]] ^= 1; } for (int i = 1; i <= n; i++) re[now][i] = sta[i], res[now] += sta[i]; } int main() { scanf("%d%d", &n, &m); static char s[5]; static int x, y; for (int i = 1; i <= m; i++) scanf("%d%d%s", &x, &y, s), addE(x, y, s[0] == 'B'); solve(); for (int i = 1; i <= n; i++) for (int j = Fir[i]; j; j = Next[j]) tp[j] ^= 1; ++now, solve(); if (res[0] < res[1]) now = 0; if (res[now] == INF) { puts("-1"); return 0; } printf("%d\n", res[now]); for (int i = 1; i <= n; i++) if (re[now][i]) printf("%d ", i); puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 300000; int n, m; vector<vector<int> > g; int a[N], b[N], comp[N], cmp, ans[N]; char clr[N]; char vis[N]; bool isD[N]; int B, W; bool DFS(int u, bool clr) { if (vis[u] != -1) return clr == vis[u]; comp[u] = cmp; vis[u] = clr; if (!isD[u]) { B += clr; W += !clr; } for (int i = 0; i < g[u].size(); ++i) if (!DFS(g[u][i], !clr)) return false; return true; } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < m; ++i) { scanf("%d%d %c", &a[i], &b[i], &clr[i]); --a[i]; --b[i]; clr[i] = clr[i] == 'R'; } int res = 1e9; vector<int> sol; for (int it = 0; it < 2; ++it) { memset(vis, -1, sizeof(vis)); memset(isD, 0, sizeof(isD)); g.clear(); g.resize(n); for (int i = 0; i < m; ++i) { clr[i] = !clr[i]; if (clr[i]) { int x = g.size(); g.push_back(vector<int>()); isD[x] = true; g[a[i]].push_back(x); g[x].push_back(a[i]); g[b[i]].push_back(x); g[x].push_back(b[i]); } else { g[a[i]].push_back(b[i]); g[b[i]].push_back(a[i]); } } int cur = 0; cmp = 0; for (int i = 0; i < g.size(); ++i) if (vis[i] == -1) { B = W = 0; if (!DFS(i, 0)) { cur = 1e9; break; } cur += min(B, W); ans[cmp] = B <= W; ++cmp; } if (res > cur) { res = cur; sol.clear(); for (int i = 0; i < n; ++i) if (vis[i] == ans[comp[i]]) sol.push_back(i); assert(sol.size() == res); } } if (res > 1e8) res = -1; printf("%d\n", res); if (res != -1) { for (int i = 0; i < sol.size(); ++i) printf("%s%d", i ? " " : "", sol[i] + 1); puts(""); } return 0; }
#include <bits/stdc++.h> using namespace std; const int iinf = 0x7fffffff; const long long linf = ~(1LL << 63); template <typename T> inline T gcd(T a, T b) { if (a < b) return gcd(b, a); if (b == 0) return a; return gcd(b, a % b); } template <typename C> inline void sort(C& v) { sort(v.begin(), v.end()); } inline void println(int u) { printf("%d\n", u); } inline void printsp(int u) { printf("%d ", u); } const int maxn = 100109; int n, m; struct edge { int to; char c; }; vector<edge> E[maxn]; void addedge(int u, int v, char c) { E[u].push_back({v, c}); E[v].push_back({u, c}); } bool vis[maxn]; bool to_recolor[maxn]; int recolor = 0; int cnt = 0, p = 0; int vv[maxn]; bool find_color(int s, char c) { cnt++; vv[p++] = s; vis[s] = true; bool ok = true; for (auto& ed : E[s]) { int to = ed.to; if (vis[to]) { if (ed.c == c) { if (to_recolor[s] != to_recolor[to]) return false; } else { if (to_recolor[s] == to_recolor[to]) return false; } } else { to_recolor[to] = ed.c == c ? to_recolor[s] : !to_recolor[s]; recolor += to_recolor[to] ? 1 : 0; ok = ok && find_color(to, c); } if (!ok) break; } return ok; } map<char, vector<int> > seq; int single_point = 0; int color_to(char c) { memset(vis, 0, sizeof vis); memset(to_recolor, 0, sizeof to_recolor); recolor = 0; vector<int>& sq = seq[c]; int ans = 0; for (int i = 1; i <= n; i++) { if (vis[i]) continue; if (E[i].size() == 0) { single_point++; continue; } recolor = 0; cnt = 0; p = 0; if (!find_color(i, c)) return -1; if (recolor < cnt - recolor) { for (int i = 0; i < p; i++) { if (to_recolor[vv[i]]) { sq.push_back(vv[i]); } } ans += recolor; } else { for (int i = 0; i < p; i++) { if (!to_recolor[vv[i]]) { sq.push_back(vv[i]); } } ans += cnt - recolor; } } return ans; } int main() { ios::sync_with_stdio(0); cin >> n >> m; int u, v; char c; for (int i = 0; i < m; i++) { cin >> u >> v >> c; addedge(u, v, c); } int red = color_to('R'); int blue = color_to('B'); if (red == -1 && blue == -1) { cout << "-1" << endl; } else { char aa; int ans = 9999999; if (red != -1) { if (ans > red) { aa = 'R'; ans = red; } } if (blue != -1) { if (ans > blue) { aa = 'B'; ans = blue; } } cout << ans << endl; for (auto x : seq[aa]) { cout << x << " "; } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int infty = 123456789; int n, m; vector<pair<int, int> > ne[100005]; int ans[2]; int vis[2][100005]; const char *s = ""; int dfs(int v, int as, int t) { int ret = as; vis[t][v] = as; for (int i = 0; i < ne[v].size() && ret < infty; i++) { int s = ne[v][i].first, c = ne[v][i].second; if (vis[t][s] == -1) { if (c == t) ret += dfs(s, as, t); else ret += dfs(s, !as, t); } else { if (c == t && vis[t][s] != vis[t][v]) return infty; else if (c != t && vis[t][s] == vis[t][v]) return infty; } } return (ret < infty ? ret : infty); } void clear(int v, int t) { vis[t][v] = -1; for (int i = 0; i < ne[v].size(); i++) { int s = ne[v][i].first; if (vis[t][s] != -1) clear(s, t); } } int main() { scanf("%d %d\n", &n, &m); for (int i = 0; i < m; i++) { int u, v; char c; scanf("%d %d %c\n", &u, &v, &c); u--; v--; ne[u].push_back(make_pair((v), (c == 'B'))); ne[v].push_back(make_pair((u), (c == 'B'))); } for (int t = 0; t < 2; t++) { for (int i = 0; i < n; i++) vis[t][i] = -1; ans[t] = 0; for (int i = 0; i < n; i++) { if (vis[t][i] == -1) { int mini = infty, mini_m; for (int m = 0; m < 2; m++) { int tmp = dfs(i, m, t); if (tmp < mini) { mini = tmp; mini_m = m; } clear(i, t); } if (mini == infty) { ans[t] = infty; break; } ans[t] += dfs(i, mini_m, t); } } } int best_t; if (ans[0] <= ans[1]) best_t = 0; else best_t = 1; if (ans[best_t] == infty) { printf("-1\n"); return 0; } printf("%d\n", ans[best_t]); for (int i = 0; i < n; i++) { if (vis[best_t][i]) { printf("%s%d", s, i + 1); s = " "; } } printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; int n, k; vector<pair<int, int> > v[100007]; int used[100007]; vector<int> u[2 * 100007]; bool dfs(int vertex, int x, int y, int val) { int i, sz; sz = v[vertex].size(); if (used[vertex] == 0) { used[vertex] = x; } u[used[vertex]].push_back(vertex); for (i = 0; i < sz; i++) { int h = v[vertex][i].first; if (v[vertex][i].second == val) { if (used[h] != 0 && used[h] != used[vertex]) { return false; } if (used[h] != 0) { continue; } used[h] = used[vertex]; bool g = dfs(h, x, y, val); if (g == false) { return false; } } else { if (used[h] == used[vertex]) { return false; } if (used[h] != 0) { continue; } used[h] = (x + y - used[vertex]); bool g = dfs(h, x, y, val); if (g == false) { return false; } } } return true; } vector<int> pos(int val) { vector<int> ret; vector<int> bait; ret.clear(); bait.clear(); int i, j; for (i = 1; i <= 2 * n; i++) { bait.push_back(1); } for (i = 1; i <= n; i++) { used[i] = 0; } for (i = 1; i <= 2 * n; i++) { u[i].clear(); } int id = 1; for (i = 1; i <= n; i++) { if (used[i] == 0) { if (dfs(i, id, id + 1, val) == false) { return bait; } id += 2; } } id--; id /= 2; for (i = 1; i <= id; i++) { if (u[2 * i - 1].size() == 0 && u[2 * i].size() == 0) { continue; } if (u[2 * i - 1].size() > u[2 * i].size()) { swap(u[2 * i - 1], u[2 * i]); } int sz = u[2 * i - 1].size(); for (j = 0; j < sz; j++) { ret.push_back(u[2 * i - 1][j]); } } return ret; } void input() { cin >> n >> k; int x, y, z; char c; int i; for (i = 1; i <= k; i++) { cin >> x >> y >> c; if (c == 'R') { z = 0; } else { z = 1; } v[x].push_back(make_pair(y, z)); v[y].push_back(make_pair(x, z)); } } void solve() { int i, sz; vector<int> v1, v2; v1 = pos(0); v2 = pos(1); if (v1.size() > v2.size()) { swap(v1, v2); } sz = v1.size(); if (sz > n) { printf("-1\n"); return; } printf("%d\n", sz); for (i = 0; i < sz; i++) { printf("%d", v1[i]); if (i == (sz - 1)) { printf("\n"); } else { printf(" "); } } } int main() { ios::sync_with_stdio(false); cin.tie(NULL); input(); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int MX = 1e5 + 5; const int INF = 0x3f3f3f3f; const int mod = 1e9 + 7; struct Ans { bool ok; vector<int> s; bool operator<(const Ans &P) const { if (ok == P.ok) return s.size() < P.s.size(); return ok > P.ok; } }; int n, m; struct Edge { int v, nxt, z; } E[MX << 2]; int Head[MX], erear; void edge_init() { erear = 0; memset(Head, -1, sizeof(Head)); } void edge_add(int u, int v, int z) { E[erear].v = v; E[erear].z = z; E[erear].nxt = Head[u]; Head[u] = erear++; } int col[MX], vis[MX]; Ans deal(int x, int u, int c) { Ans ret; ret.ok = true; vector<int> p; queue<int> Q; Q.push(u); col[u] = c; vis[u] = 1; p.push_back(u); while (!Q.empty()) { u = Q.front(); Q.pop(); if (col[u]) ret.s.push_back(u); for (int i = Head[u]; ~i; i = E[i].nxt) { int v = E[i].v; if (vis[v] && (col[u] ^ col[v] ^ E[i].z) != x) { ret.ok = false; break; } if (!vis[v]) { col[v] = E[i].z ^ col[u] ^ x; vis[v] = 1; Q.push(v); p.push_back(v); } } } if (c == 0) { for (int i = 0; i < p.size(); i++) { vis[p[i]] = 0; } } return ret; } Ans solve(int x) { Ans ret, temp; memset(vis, 0, sizeof(vis)); for (int i = 1; i <= n; i++) { if (vis[i]) continue; temp = min(deal(x, i, 1), deal(x, i, 0)); if (!temp.ok) { ret.ok = false; return ret; } for (int j = 0; j < temp.s.size(); j++) { ret.s.push_back(temp.s[j]); } } ret.ok = true; return ret; } int main() { edge_init(); scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int u, v; char op[10]; scanf("%d%d%s", &u, &v, op); int z = op[0] == 'R' ? 1 : 0; edge_add(u, v, z); edge_add(v, u, z); } Ans ans = min(solve(0), solve(1)); if (!ans.ok) printf("-1\n"); else { int sz = ans.s.size(); printf("%d\n", sz); for (int i = 0; i < sz; i++) { printf("%d%c", ans.s[i], i == sz - 1 ? '\n' : ' '); } } return 0; }
#include <bits/stdc++.h> using namespace std; using ll = int64_t; struct Edge { int u, v; bool color; }; int dsu_find(vector<int>& dsu, int u) { if (dsu[u] == u) return u; return dsu[u] = dsu_find(dsu, dsu[u]); } void dsu_merge(vector<int>& dsu, int a, int b) { a = dsu_find(dsu, a); b = dsu_find(dsu, b); dsu[a] = b; } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); int n, m; cin >> n >> m; vector<Edge> edges(m); for (int i = 0; i < m; i++) { cin >> edges[i].u >> edges[i].v; --edges[i].u, --edges[i].v; string c; cin >> c; edges[i].color = (c == "R"); } bool same = true, other = false; vector<int> moves; bool found = false; for (int it = 0; it <= 1; it++) { swap(same, other); vector<int> target_moves; vector<int> dsu(n); for (int i = 0; i < n; i++) dsu[i] = i; for (const auto& e : edges) { if (e.color == same) { dsu_merge(dsu, e.u, e.v); } } bool fail = false; vector<int> weight(n, 0); vector<vector<int>> new_edges(n); for (int i = 0; i < n; i++) ++weight[dsu_find(dsu, i)]; for (const auto& e : edges) { if (e.color == other) { if (dsu_find(dsu, e.u) == dsu_find(dsu, e.v)) { fail = true; } int u = dsu_find(dsu, e.u); int v = dsu_find(dsu, e.v); if (u != v) { new_edges[u].push_back(v); new_edges[v].push_back(u); } } } if (fail) continue; vector<int> colors(n, -1); vector<int> visited; std::function<void(int, int)> dfs; dfs = [&](int u, int c) { visited.push_back(u); colors[u] = c; for (int v : new_edges[u]) { if (colors[v] != -1 && colors[v] != (1 - c)) fail = true; if (colors[v] == -1) { dfs(v, 1 - c); } } }; vector<bool> target_comps(n, false); for (int i = 0; i < n; i++) { if (colors[i] == -1) { visited.clear(); dfs(i, 0); int zero = 0, one = 0; for (int u : visited) { if (colors[u] == 0) zero += weight[u]; else one += weight[u]; } int target = (zero < one) ? 0 : 1; for (int u : visited) { if (colors[u] == target) target_comps[u] = true; } } } if (fail) continue; for (int i = 0; i < n; i++) { if (target_comps[dsu_find(dsu, i)]) { target_moves.push_back(i + 1); } } if (!found || moves.size() > target_moves.size()) moves = target_moves; found = true; } if (found) { cout << moves.size() << endl; for (int u : moves) cout << u << " "; cout << endl; } else { cout << -1 << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; void bug() { cout << " " << endl; } template <class T> void bug(T a) { cout << a << " "; } template <class T> void bug(T* a, int n) { for (int i = 0; i < (n); i++) bug(a[i]); } int n, m; vector<pair<pair<int, int>, bool> > e; int ans = 1000000000; vector<int> vs; int fa[111111], size[111111]; int find(int u) { if (fa[u] == u) return u; else return fa[u] = find(fa[u]); } void merge(int u, int v) { u = find(u); v = find(v); if (u == v) return; if (size[u] > size[v]) { size[u] += size[v]; fa[v] = u; } else { size[v] += size[u]; fa[u] = v; } } vector<int> g[111111]; int vis[111111]; void go(bool b) { for (int i = 0; i < (n); i++) g[i].clear(); memset(vis, -1, sizeof(vis)); for (int i = 0; i < (n); i++) { fa[i] = i; size[i] = 1; } for (int i = 0; i < (m); i++) { int u = e[i].first.first; int v = e[i].first.second; bool bb = e[i].second; if (bb == b) { merge(u, v); } } for (int i = 0; i < (m); i++) { int u = e[i].first.first; int v = e[i].first.second; bool bb = e[i].second; if (bb != b) { u = find(u); v = find(v); g[u].push_back(v); g[v].push_back(u); } } int ret = 0; vector<int> vv; for (int i = 0; i < (n); i++) if (find(i) == i && vis[i] == -1) { queue<int> q; q.push(i); vis[i] = 0; int zero = size[i], one = 0; vector<int> zs, os; zs.push_back(i); while (q.size() > 0) { int u = q.front(); q.pop(); for (int v : g[u]) { if (vis[v] != -1) { if (vis[v] != (1 - vis[u])) return; } else { vis[v] = (1 - vis[u]); if (vis[v] == 0) { zero += size[v]; zs.push_back(v); } else { one += size[v]; os.push_back(v); } q.push(v); } } } if (zero < one) { ret += zero; for (int i = 0; i < (zs.size()); i++) vv.push_back(zs[i]); } else { ret += one; for (int i = 0; i < (os.size()); i++) vv.push_back(os[i]); } } if (ans > ret) { ans = ret; set<int> s; for (int i = 0; i < (vv.size()); i++) s.insert(vv[i]); vs.clear(); for (int i = 0; i < (n); i++) if (s.find(find(i)) != s.end()) vs.push_back(i); } } int main() { ios::sync_with_stdio(false); cin >> n >> m; for (int i = 0; i < (m); i++) { int u, v; char c; cin >> u >> v >> c; u--; v--; bool b = (c == 'B'); e.push_back(make_pair(make_pair(u, v), b)); } go(0); go(1); if (ans == 1000000000) cout << -1 << endl; else { cout << ans << endl; for (int i = 0; i < (vs.size()); i++) { cout << vs[i] + 1 << " "; } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 7; const long long md = 1e9 + 7; const int inf = 1e9; vector<pair<int, int> > G[maxn]; bool vis[maxn]; int val[maxn]; bool inval; bool st[maxn][3]; pair<int, int> dfs(int x, int v, int m) { val[x] = v; vis[x] = true; pair<int, int> ans = make_pair(val[x] == 1, 1); for (pair<int, int> p : G[x]) { int y = p.first, z = p.second; if (vis[y]) { if (val[y] != val[x] ^ z ^ m) { inval = true; return ans; } } else { pair<int, int> cur = dfs(y, val[x] ^ z ^ m, m); ans.first += cur.first; ans.second += cur.second; } } return ans; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n, m; cin >> n >> m; for (int i = (1); i <= (m); i++) { int x, y; char c; cin >> x >> y >> c; c = (c == 'R'); G[x].emplace_back(make_pair(y, c)); G[y].emplace_back(make_pair(x, c)); } int ans = inf; int typ = -1; for (int mode = (0); mode <= (1); mode++) { inval = false; for (int i = (1); i <= (n); i++) { st[i][mode] = 0; vis[i] = false; val[i] = -1; } int cur = 0; for (int i = (1); i <= (n); i++) { if (!vis[i]) { pair<int, int> p = dfs(i, 0, mode); if (inval) { cur = inf; break; } cur += min(p.first, p.second - p.first); if (p.first < p.second - p.first) { st[i][mode] = 0; } else { st[i][mode] = 1; } } } if (cur < ans) { typ = mode; ans = cur; } } if (ans >= inf) { cout << -1 << endl; return 0; } for (int i = (1); i <= (n); i++) { vis[i] = false; val[i] = -1; } for (int i = (1); i <= (n); i++) { if (!vis[i]) { pair<int, int> p = dfs(i, st[i][typ], typ); } } cout << ans << endl; for (int i = (1); i <= (n); i++) { if (val[i]) { cout << i << " "; } } cout << endl; }
#include <bits/stdc++.h> struct EDGE { int u, v, c; } e[1000010]; struct edge { int b, ne; } da[2 * 1000010]; int head[1000010], TOT, fa[1000010]; void insert(int a, int b) { da[++TOT].b = b; da[TOT].ne = head[a]; head[a] = TOT; } int anc(int x) { return fa[x] == x ? x : fa[x] = anc(fa[x]); } int col[1000010], q[1000010]; std::vector<int> v[1000010], S[2], Ans[2]; void bfs(int Y) { int op = 0, cl = 1; q[1] = Y; while (op < cl) { int x = q[++op]; for (int i = 0; i < v[x].size(); i++) Ans[col[x]].push_back(v[x][i]); for (int t = head[x]; t; t = da[t].ne) if (col[da[t].b] == -1) col[da[t].b] = 1 - col[x], q[++cl] = da[t].b; } } int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d%d", &e[i].u, &e[i].v); char s[2]; scanf("%s", s); e[i].c = s[0] == 'R' ? 0 : 1; } for (int COLOR = 0; COLOR < 2; COLOR++) { for (int i = 1; i <= n * 2; i++) fa[i] = i, v[i].clear(), fa[i + n] = i + n; for (int i = 1; i <= m; i++) if (COLOR == e[i].c) fa[anc(e[i].u)] = anc(e[i].v), fa[anc(e[i].u + n)] = anc(e[i].v + n); else { fa[anc(e[i].u)] = anc(e[i].v + n); fa[anc(e[i].u + n)] = anc(e[i].v); } bool g = true; for (int i = 1; i <= n; i++) if (anc(i) == anc(i + n)) { g = false; break; } if (!g) { S[COLOR].resize(n + 1); continue; } for (int i = 1; i <= n; i++) fa[i] = i; for (int i = 1; i <= m; i++) if (COLOR == e[i].c) fa[anc(e[i].u)] = anc(e[i].v); for (int i = 1; i <= n; i++) v[anc(i)].push_back(i); TOT = 0; memset(head, 0, sizeof head); for (int i = 1; i <= m; i++) if (COLOR != e[i].c) insert(anc(e[i].u), anc(e[i].v)), insert(anc(e[i].v), anc(e[i].u)); memset(col, -1, sizeof col); for (int i = 1; i <= n; i++) if (fa[i] == i && col[i] == -1) { Ans[0].clear(), Ans[1].clear(), col[i] = 0, bfs(i); if (Ans[0].size() < Ans[1].size()) for (int j = 0; j < Ans[0].size(); j++) S[COLOR].push_back(Ans[0][j]); else for (int j = 0; j < Ans[1].size(); j++) S[COLOR].push_back(Ans[1][j]); } } if (S[0].size() == n + 1 && S[1].size() == n + 1) printf("-1"); else if (S[0].size() < S[1].size()) { printf("%d\n", S[0].size()); for (int i = 0; i < S[0].size(); i++) printf("%d ", S[0][i]); } else { printf("%d\n", S[1].size()); for (int i = 0; i < S[1].size(); i++) printf("%d ", S[1][i]); } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> int getbit(T s, int i) { return (s >> i) & 1; } template <class T> T onbit(T s, int i) { return s | (T(1) << i); } template <class T> T offbit(T s, int i) { return s & (~(T(1) << i)); } template <class T> int cntbit(T s) { return __builtin_popcount(s); } template <class T> T gcd(T a, T b) { T r; while (b != 0) { r = a % b; a = b; b = r; } return a; } template <class T> T lcm(T a, T b) { return a / gcd(a, b) * b; } vector<pair<int, int> > V[200005]; int n, m; vector<int> RR[2], res; int color[200005]; int que[200005], size; bool cal(int id) { memset(color, -1, sizeof(color)); RR[id].clear(); for (int i = (1); i <= (n); ++i) if (color[i] == -1) { size = 0; que[size++] = i; int mau = 0; color[i] = 1; for (int t = 0; t < (size); ++t) { int u = que[t]; mau += color[u]; for (int j = 0; j < (((int)(V[u]).size())); ++j) { int v = V[u][j].first; int c = V[u][j].second; if (color[v] != -1) { if (color[u] ^ color[v] ^ id ^ c) { return 0; } } else { color[v] = color[u] ^ id ^ c; que[size++] = v; } } } for (int t = 0; t < (size); ++t) { int u = que[t]; if (mau > size / 2) { if (!color[u]) RR[id].push_back(u); } else { if (color[u]) RR[id].push_back(u); } } } return 1; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n >> m; for (int run = 0; run < (m); ++run) { int u, v; char ch; cin >> u >> v >> ch; int id = (ch == 'R' ? 1 : 0); V[u].push_back(make_pair(v, id)); V[v].push_back(make_pair(u, id)); } if (cal(0)) { if (cal(1)) { if (((int)(RR[0]).size()) < ((int)(RR[1]).size())) { res = RR[0]; } else res = RR[1]; } else res = RR[0]; } else { if (cal(1)) res = RR[1]; else { cout << -1 << endl; return 0; } } cout << ((int)(res).size()) << endl; for (int i = 0; i < (((int)(res).size())); ++i) cout << res[i] << " "; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100005; int n, m; vector<pair<int, char> > edges[MAXN]; int val[MAXN]; int vis[MAXN]; char letter; vector<int> comp; int mini = 1e9, oa, answer = 0, answer2 = 0; char lea; void solve(int node, int on) { val[node] = on; vis[node] = 1; for (pair<int, char>& t : edges[node]) { if (vis[t.first]) continue; if (on == (t.second != letter)) solve(t.first, 0); else solve(t.first, 1); } } void get(int on, char let) { letter = let; for (int y : comp) val[y] = vis[y] = 0; solve(comp[0], on); int ans = 0; for (int g : comp) ans += val[g]; bool flag = 1; for (int g : comp) { for (pair<int, char>& y : edges[g]) { if ((val[g] ^ val[y.first]) != (y.second != let)) flag = 0; } } if (!flag) return; if (ans < mini) mini = ans, oa = on, lea = let; } void dfs(int node) { comp.push_back(node); vis[node] = 1; for (pair<int, char>& g : edges[node]) { if (vis[g.first]) continue; dfs(g.first); } } int main() { ios_base::sync_with_stdio(0); cin >> n >> m; for (int g = 0; g < m; g++) { int a, b; cin >> a >> b; char c; cin >> c; edges[a].push_back(pair<int, char>(b, c)); edges[b].push_back(pair<int, char>(a, c)); } vector<int> vo, vo2; for (int g = 1; g <= n; g++) { if (vis[g]) continue; mini = 1e9; comp.clear(); dfs(g); get(0, 'B'); get(1, 'B'); if (mini == 1e9) { answer = 1e9; } answer += mini; letter = lea; for (int y : comp) val[y] = vis[y] = 0; solve(comp[0], oa); for (int y : comp) { if (val[y]) vo.push_back(y); } } memset(vis, 0, sizeof(vis)); memset(val, 0, sizeof(val)); mini = 1e9, oa = 0; for (int g = 1; g <= n; g++) { if (vis[g]) continue; mini = 1e9; comp.clear(); dfs(g); get(0, 'R'); get(1, 'R'); if (mini == 1e9) { answer2 = 1e9; } answer2 += mini; letter = lea; for (int y : comp) val[y] = vis[y] = 0; solve(comp[0], oa); for (int y : comp) { if (val[y]) vo2.push_back(y); } } if (min(answer, answer2) >= 1e9) { cout << -1; return 0; } if (answer < answer2) { cout << answer << '\n'; for (int t : vo) cout << t << ' '; } else { cout << answer2 << '\n'; for (int t : vo2) cout << t << ' '; } return 0; }
#include <bits/stdc++.h> using namespace std; static int N, M; static vector<vector<pair<bool, int>>> adj; static vector<int> sides[2]; static vector<int> visited; static vector<int> solution; bool dfs(int i, int side) { if (visited[i] != -1) { return visited[i] == side; } visited[i] = side; sides[side].push_back(i); for (pair<bool, int> col_j : adj[i]) { if (!dfs(col_j.second, side ^ col_j.first)) return false; } return true; } bool solve() { solution.clear(); visited = vector<int>(N, -1); for (int i = 0; i < N; ++i) { if (visited[i] == -1) { sides[0].clear(); sides[1].clear(); if (!dfs(i, 0)) return false; if (sides[0].size() > sides[1].size()) sides[0].swap(sides[1]); for (int i : sides[0]) { solution.push_back(i); } } } return true; } void output(const vector<int>& sol) { cout << sol.size() << '\n'; for (int i = 0; i < sol.size(); ++i) { if (i > 0) cout << ' '; cout << sol[i] + 1; } cout << '\n'; } int main() { cin >> N >> M; adj.resize(N); for (int m = int(0); m < int(M); ++m) { int i, j; string s; cin >> i >> j >> s; assert(s == "R" || s == "B"); bool col = (s == "R"); adj[i - 1].push_back({col, j - 1}); adj[j - 1].push_back({col, i - 1}); } bool a = solve(); vector<int> sol1 = solution; for (int i = int(0); i < int(N); ++i) for (int j = int(0); j < int(adj[i].size()); ++j) adj[i][j].first ^= 1; bool b = solve(); vector<int> sol2 = solution; if (a && (!b || sol1.size() <= sol2.size())) { output(sol1); } else if (b) { output(sol2); } else { cout << -1 << '\n'; } }
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> inline void smin(T &a, U b) { if (a > b) a = b; } template <typename T, typename U> inline void smax(T &a, U b) { if (a < b) a = b; } template <typename T> inline void gn(T &first) { char c, sg = 0; while (c = getchar(), (c > '9' || c < '0') && c != '-') ; for ((c == '-' ? sg = 1, c = getchar() : 0), first = 0; c >= '0' && c <= '9'; c = getchar()) first = (first << 1) + (first << 3) + c - '0'; if (sg) first = -first; } template <class T, class T1> inline void gn(T &first, T1 &second) { gn(first); gn(second); } template <class T, class T1, class T2> inline void gn(T &first, T1 &second, T2 &z) { gn(first); gn(second); gn(z); } template <typename T> inline void print(T first) { if (first < 0) { putchar('-'); return print(-first); } if (first < 10) { putchar('0' + first); return; } print(first / 10); putchar(first % 10 + '0'); } template <typename T> inline void println(T first) { print(first), putchar('\n'); } template <typename T> inline void printsp(T first) { print(first), putchar(' '); } template <class T, class T1> inline void print(T first, T1 second) { printsp(first), println(second); } template <class T, class T1, class T2> inline void print(T first, T1 second, T2 z) { printsp(first), printsp(second), println(z); } int power(int a, int b, int m, int ans = 1) { for (; b; b >>= 1, a = 1LL * a * a % m) if (b & 1) ans = 1LL * ans * a % m; return ans; } vector<pair<int, int> > adj[100100]; int n, m; pair<pair<int, int>, int> edge[100100]; int col[100100]; vector<int> vec[2]; bool dfs(int u, int c = 0) { col[u] = c; vec[c].push_back(u); for (int i = 0; i < adj[u].size(); i++) { int v = adj[u][i].first; if (col[v] != -1) { if (col[v] == col[u] && adj[u][i].second) return false; if (col[v] != col[u] && !adj[u][i].second) return false; continue; } if (!dfs(v, c ^ adj[u][i].second)) return false; } return true; } vector<int> ids; int solve(int tp) { for (int i = 1; i <= n; i++) adj[i].clear(), col[i] = -1; for (int i = 0; i < m; i++) { int u = edge[i].first.first; int v = edge[i].first.second; adj[u].push_back(pair<int, int>(v, edge[i].second == tp)); adj[v].push_back(pair<int, int>(u, edge[i].second == tp)); } ids.clear(); for (int i = 1; i <= n; i++) if (col[i] == -1) { vec[0].clear(); vec[1].clear(); if (!dfs(i)) return 0x3f3f3f3f; int tp = vec[0].size() > vec[1].size(); for (int j = 0; j < vec[tp].size(); j++) ids.push_back(vec[tp][j]); } return ids.size(); } int main() { gn(n, m); for (int i = 0; i < m; i++) { int u, v; char c; gn(u, v); scanf(" %c", &c); edge[i] = pair<pair<int, int>, int>(pair<int, int>(u, v), c == 'R'); } int ans = solve(0); vector<int> res = ids; int tmp = solve(1); if (tmp < ans) ans = tmp, res = ids; if (ans < 0x3f3f3f3f) { println(ans); for (int i = 0; i < res.size(); i++) printsp(res[i]); puts(""); } else puts("-1"); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 100; vector<pair<int, int> > g[N]; vector<int> G[N]; int n, m; int color[N], cols, anss[3]; vector<int> ansn, tmpans, tmpanss[3]; vector<int> component[N]; int ans, pra, sz[N], vis[N], black[N]; void dfs(int u, int f) { color[u] = cols; sz[cols]++; component[cols].push_back(u); vis[u] = 1; for (pair<int, int> vv : g[u]) { if (vv.second != pra) continue; int v = vv.first; if (vis[v] == 1) continue; dfs(v, u); } } int rebuild() { for (int i = 1; i <= cols; ++i) G[i].clear(); for (int u = 1; u <= n; ++u) { for (pair<int, int> vv : g[u]) { if (vv.second == pra) continue; int v = vv.first; if (color[v] == color[u]) return 0; G[color[u]].push_back(color[v]); } } return 1; } int check(int u, int f, int flag) { if (black[u] != 0) return black[u] == flag; int res = 1; black[u] = flag; tmpanss[flag].push_back(u); anss[flag] += sz[u]; for (int v : G[u]) { res &= check(v, u, 3 - flag); } return res; } void solve(int para) { pra = para; cols = 0; memset(vis, 0, sizeof vis); for (int i = 1; i <= n; ++i) { if (vis[i] == 0) { cols++; component[cols].clear(); sz[cols] = 0; dfs(i, -1); } } int ok = rebuild(); int res = 0; memset(black, 0, sizeof black); tmpans.clear(); for (int i = 1; i <= cols && ok; ++i) { if (black[i] != 0) continue; tmpanss[1].clear(); tmpanss[2].clear(); anss[1] = anss[2] = 0; ok &= check(i, -1, 1); int pos = 1; if (anss[1] > anss[2]) pos = 2; res += min(anss[1], anss[2]); for (int v : tmpanss[pos]) { for (int vv : component[v]) { tmpans.push_back(vv); } } } if (ok == 0) return; if (res < ans) { ans = res; ansn.clear(); for (int v : tmpans) ansn.push_back(v); } } int main() { scanf("%d %d", &n, &m); for (int i = 1; i <= m; ++i) { char s[10]; int x, y; scanf("%d %d %s", &x, &y, s); int col = s[0] == 'R'; g[x].push_back(make_pair(y, col)); g[y].push_back(make_pair(x, col)); } ans = n + 1; solve(0); solve(1); if (ans == n + 1) puts("-1"); else { printf("%d\n", ans); for (int i = 0; i < ansn.size(); ++i) printf("%d ", ansn[i]); puts(""); } }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 5; struct Edge { int v, col, next; } E[maxn << 1]; int head[maxn], tol; int vis[maxn], top, n, m; vector<int> g[2], st[2]; void init() { memset(head, -1, sizeof head); tol = 0; } void add_edge(int u, int v, int col) { E[tol].v = v; E[tol].col = col; E[tol].next = head[u]; head[u] = tol++; } bool dfs(int u, int f, int col) { vis[u] = f; st[f].push_back(u); for (int i = head[u]; ~i; i = E[i].next) { int v = E[i].v; if (vis[v] != -1) { if ((vis[u] ^ vis[v]) != (col ^ E[i].col)) return false; continue; } if (!dfs(v, col ^ E[i].col ^ vis[u], col)) return false; } return true; } int solve(int col) { memset(vis, -1, sizeof vis); for (int i = 1; i <= n; i++) { if (vis[i] == -1) { st[0].clear(); st[1].clear(); if (!dfs(i, 0, col)) { return n + 1; } int tmp = st[0].size() < st[1].size() ? 0 : 1; g[col].insert(g[col].end(), st[tmp].begin(), st[tmp].end()); } } return g[col].size(); } int main() { int u, v; char col; scanf("%d%d", &n, &m); init(); for (int i = 1; i <= m; i++) { scanf("%d %d %c", &u, &v, &col); add_edge(u, v, col == 'R' ? 1 : 0); add_edge(v, u, col == 'R' ? 1 : 0); } int sz0 = solve(0); int sz1 = solve(1); if (sz0 == n + 1 && sz1 == n + 1) { puts("-1"); return 0; } int tmp = sz0 < sz1 ? 0 : 1; printf("%d\n", g[tmp].size()); for (int i = 0; i < g[tmp].size(); i++) { printf("%d ", g[tmp][i]); } return 0; }
#include <bits/stdc++.h> using namespace std; const bool testing = false; const int M = 100001; vector<pair<int, char>> v[M]; int g[M]; int fun(char c, vector<int>& res, int n) { memset(g, 0, sizeof(g)); vector<int> x; for (int d = 1; d < n + 1; d++) { if (!g[d]) { x.clear(); x.push_back(d); g[d] = 1; stack<int> s; s.push(d); while (s.size()) { int p = s.top(); s.pop(); for (auto i : v[p]) { if (i.second == c) { if (g[i.first]) { if (g[i.first] != g[p]) return M; } else { g[i.first] = g[p]; x.push_back(i.first); s.push(i.first); } } else { if (g[i.first]) { if (g[i.first] == g[p]) return M; } else { g[i.first] = -g[p]; x.push_back(i.first); s.push(i.first); } } } } int sum = 0; for (int pos : x) { sum += g[pos]; } if (sum > 0) sum = -1; else sum = 1; for (int pos : x) { if (g[pos] == sum) res.push_back(pos); } } } return res.size(); } void program() { int n, m; cin >> n >> m; int a, b; char c; for (int i = 0; i < n + 1; i++) { v[i].clear(); } for (int i = 0; i < m; i++) { cin >> a >> b >> c; v[a].push_back(make_pair(b, c)); v[b].push_back(make_pair(a, c)); } vector<int> res1, res2; int r1 = fun('B', res1, n); int r2 = fun('R', res2, n); if (r2 < r1) { r1 = r2; res1 = res2; } if (r1 == M) r1 = -1; cout << r1 << endl; for (auto i : res1) { cout << i << " "; } } int main() { if (!testing) { program(); return 0; } FILE* fin = NULL; fin = fopen("in.txt", "w+"); fprintf(fin, "3 3\n1 2 B\n3 1 R\n3 2 B\n"); fclose(fin); freopen("in.txt", "r", stdin); printf("test case(1) => expected : \n"); printf("1\n2 \n"); printf("test case(1) => founded : \n"); program(); fin = fopen("in.txt", "w+"); fprintf(fin, "6 5\n1 3 R\n2 3 R\n3 4 B\n4 5 R\n4 6 R\n"); fclose(fin); freopen("in.txt", "r", stdin); printf("test case(2) => expected : \n"); printf("2\n3 4 \n"); printf("test case(2) => founded : \n"); program(); fin = fopen("in.txt", "w+"); fprintf(fin, "4 5\n1 2 R\n1 3 R\n2 3 B\n3 4 B\n1 4 B\n"); fclose(fin); freopen("in.txt", "r", stdin); printf("test case(3) => expected : \n"); printf("-1\n"); printf("test case(3) => founded : \n"); program(); return 0; }
#include <bits/stdc++.h> using namespace std; struct type_edge { int u, v; bool c; type_edge() {} type_edge(int a, int b, bool d) { u = a; v = b; c = d; } } edge[100005]; vector<int> G[200005]; int vis[200005], cnt, n; int comp[200005], used[200005]; int dfs(int v, int mark) { vis[v] = mark; int ret = 0; for (int x : G[v]) if (!vis[x]) ret += dfs(x, mark); return ret + (v <= n ? 1 : 0); } int main() { int m; scanf("%d%d", &n, &m); for (int i = 0; i < m; i++) { int a, b; char c; scanf("%d%d %c", &a, &b, &c); edge[i] = type_edge(a, b, (c == 'B')); } vector<int> ans; bool has_ans = 0; for (int color = 1; color >= 0; color--) { for (int i = 1; i <= 2 * n; i++) { G[i].clear(); vis[i] = 0; comp[i] = 0; used[i] = 0; } for (int i = 0; i < m; i++) { int f = edge[i].u, s = edge[i].v; if (edge[i].c == color) { G[f].push_back(s); G[s].push_back(f); G[s + n].push_back(f + n); G[f + n].push_back(s + n); } else { G[f].push_back(s + n); G[s + n].push_back(f); G[s].push_back(f + n); G[f + n].push_back(s); } } cnt = 1; bool fail = 0; for (int i = 1; i <= 2 * n; i++) { if (!vis[i]) { comp[cnt] = dfs(i, cnt); cnt++; } } set<int> comp_used; for (int i = 1; i <= n; i++) { if (vis[i] == vis[i + n]) { fail = 1; break; } if (used[vis[i]] || used[vis[i + n]]) { assert(used[vis[i]] & used[vis[i + n]]); continue; } used[vis[i]] = used[vis[i + n]] = 1; if (comp[vis[i]] < comp[vis[i + n]]) comp_used.insert(vis[i]); else comp_used.insert(vis[i + n]); } if (fail) continue; vector<int> aux; for (int i = 1; i <= n; i++) { if (comp_used.find(vis[i]) != comp_used.end()) aux.push_back(i); } if (color == 1) ans = aux; else if (aux.size() < ans.size() || !has_ans) ans = aux; has_ans = 1; } if (has_ans == 0) printf("-1\n"); else { printf("%d\n", ans.size()); for (int x : ans) printf("%d ", x); printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX = 1e5 + 7; vector<pair<int, int> > adj[MAX]; bool flag, visited[MAX], done; int Color[MAX], one, zero, n, m; vector<int> Ans, temp; void dfs(int i, int color, int c = 0) { temp.push_back(i); Color[i] = c; one += (c == 1); zero += (c == 0); visited[i] = true; for (auto j : adj[i]) { int u = j.second; int edge_color = j.first; if (!visited[u]) { if (edge_color == color) dfs(u, color, c); else dfs(u, color, !c); } else { if (edge_color == color && Color[i] != Color[u]) flag = false; else if (edge_color != color && Color[i] == Color[u]) flag = false; } } } void func(int color) { vector<int> ans; flag = true; fill(visited, visited + n + 2, false); fill(Color, Color + n + 2, -1); for (int i = 1; i <= n; i++) if (!visited[i]) { one = 0, zero = 0; temp.clear(); dfs(i, color); if (!flag) return; int val = min(one, zero); for (auto j : temp) if (Color[j] == (val == one ? 1 : 0)) ans.push_back(j); } if (color == 0) Ans = ans; else if (!done) Ans = ans; else if (Ans.size() > ans.size()) Ans = ans; done = true; } int main() { ios_base::sync_with_stdio(false); cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v; string s; cin >> u >> v >> s; adj[u].push_back(make_pair(s == "B", v)); adj[v].push_back(make_pair(s == "B", u)); } func(0); func(1); if (!done) cout << -1 << endl; else { cout << Ans.size() << endl; for (auto j : Ans) cout << j << " "; cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; vector<pair<int, char> > grp[112345]; bool mark[112345]; vector<int> ans[2], p[3]; map<int, int> vp; int n, e; bool dfs(int part, char cl, int vx) { p[part].push_back(vx); mark[vx] = true; vp[vx] = part; for (int i = 0; i < grp[vx].size(); i++) { int v = grp[vx][i].first; char c = grp[vx][i].second; int x; if (c == cl) x = part; else x = part % 2 + 1; if (mark[v]) { if (vp[v] != x) return false; } else { if (!dfs(x, cl, v)) return false; } } return true; } bool solve(char clr, int as) { for (int i = 0; i <= n; i++) { mark[i] = false; } vp.clear(); for (int i = 1; i <= n; i++) { p[0].clear(); p[1].clear(); p[2].clear(); if (mark[i] == false) { if (dfs(1, clr, i) == true) { if (p[1].size() < p[2].size()) { for (int j = 0; j < p[1].size(); j++) ans[as].push_back(p[1][j]); } else { for (int j = 0; j < p[2].size(); j++) ans[as].push_back(p[2][j]); } } else { return false; } } } return true; } int main() { scanf("%d%d", &n, &e); for (int i = 0; i < e; i++) { int x, y; char ch; cin >> x >> y >> ch; grp[x].push_back(make_pair(y, ch)); grp[y].push_back(make_pair(x, ch)); } bool sr = solve('R', 1), sb = solve('B', 0); int x = 1; if (!sr && !sb) { cout << -1 << endl; return 0; } else if (sr && sb) { if (ans[0].size() < ans[1].size()) x = 0; } else if (sr) { x = 1; } else x = 0; cout << ans[x].size() << endl; ; for (int i = 0; i < ans[x].size(); i++) cout << ans[x][i] << " "; cout << endl; }
#include <bits/stdc++.h> using namespace std; const int maxN = 100010; int N, M; int cur_kind[maxN]; vector<int> kind_list[3]; vector<pair<int, int> > G[maxN]; void input() { cin >> N >> M; int u, v; char c; for (int i = 1; i <= M; i++) { cin >> u >> v >> c; G[u].push_back({v, c}); G[v].push_back({u, c}); } } bool getColoring(int node, int kind, char ch) { if (cur_kind[node] != 0) return cur_kind[node] == kind; cur_kind[node] = kind; kind_list[kind].push_back(node); bool ret = true; int nxt_kind; for (auto edge : G[node]) { if (edge.second == ch) nxt_kind = kind; else { if (kind == 1) nxt_kind = 2; else nxt_kind = 1; } ret &= getColoring(edge.first, nxt_kind, ch); } return ret; } bool solve(char ch, vector<int> &store) { for (int i = 1; i <= N; i++) cur_kind[i] = 0; for (int i = 1; i <= N; i++) { if (cur_kind[i] != 0) continue; kind_list[1].clear(); kind_list[2].clear(); if (!getColoring(i, 1, ch)) return false; if (kind_list[1].size() < kind_list[2].size()) { for (auto node : kind_list[1]) store.push_back(node); } else { for (auto node : kind_list[2]) store.push_back(node); } } return true; } void solve() { vector<int> v, vb, vr; bool ans = solve('R', vr); if (ans) v = vr; if (solve('B', vb)) { if (ans) { if (vb.size() < vr.size()) v = vb; } else v = vb; ans = true; } if (!ans) cout << "-1"; else { cout << (int)v.size() << "\n"; for (auto node : v) cout << node << " "; } } int main() { ios::sync_with_stdio(false); cin.tie(0); input(); solve(); return 0; }
#include <bits/stdc++.h> inline int min(const int &first, const int &second) { return (((second - first) >> (32 - 1)) & (first ^ second)) ^ first; } inline int max(const int &first, const int &second) { return (((second - first) >> (32 - 1)) & (first ^ second)) ^ second; } inline long long min(const long long &first, const long long &second) { return (((second - first) >> (64 - 1)) & (first ^ second)) ^ first; } inline long long max(const long long &first, const long long &second) { return (((second - first) >> (64 - 1)) & (first ^ second)) ^ second; } using namespace std; char string_in_buffer[(int)260]; void fast_scan(int &first) { scanf("%d", &first); } void fast_scan(long long &first) { scanf("%lld", &first); } void fast_scan(unsigned long long &first) { scanf("%llu", &first); } void fast_scan(double &first) { scanf("%lf", &first); } void fast_scan(long double &first) { scanf("%Lf", &first); } void fast_scan(char &first) { scanf("%c", &first); if (first == '\n') { fast_scan(first); } } void fast_scan(string &first) { scanf("%s", string_in_buffer); first = string(string_in_buffer); } template <class TFirst, class TSecond> void fast_scan(pair<TFirst, TSecond> &p) { fast_scan(p.first); fast_scan(p.second); } template <class T> void fast_scan(vector<T> &v) { for (auto &first : v) fast_scan(first); } void fast_print(const int &first) { printf("%d", first); } void fast_print(const unsigned int &first) { printf("%u", first); } void fast_print(const long long &first) { printf("%lld", first); } void fast_print(const unsigned long long &first) { printf("%llu", first); } void fast_print(const char &first) { printf("%c", first); }; void fast_print(const double &first) { printf("%.15lf", first); } void fast_print(const long double &first) { printf("%.15Lf", first); } void fast_print(const string &first) { printf("%s", first.c_str()); } void fast_print(const char v[]) { fast_print((string)v); } template <class TFirst, class TSecond> void fast_print(const pair<TFirst, TSecond> &p) { fast_print(p.first); fast_print(' '); fast_print(p.second); } template <class T> void fast_print(const vector<T> &v) { if (v.empty()) return; fast_print(v[0]); for (int i = 1; i < v.size(); i++) { fast_print(' '); fast_print(v[i]); } } template <class T> void fast_print(const vector<vector<T>> &v) { if (v.empty()) return; fast_print(v[0]); for (int i = 1; i < v.size(); i++) { fast_print('\n'); fast_print(v[i]); } } template <class T> void fast_print(const T &v) { for (const auto &first : v) { fast_print(first); fast_print(' '); } } using namespace std; namespace smart_io { string print_start = ""; string sep = " "; bool first_print = false; void precall_print() { fast_print(print_start); print_start = "\n"; first_print = true; } void _print(deque<string>) {} template <class T, class... Args> void _print(deque<string> names, T elem, Args... args) { if (!first_print) { fast_print("\n"); } else { first_print = false; } fast_print(names.front()); fast_print(" = "); fast_print(elem); names.pop_front(); _print(names, args...); } } // namespace smart_io template <class T> ostream &operator,(ostream &os, const T &object) { if (!smart_io::first_print) { fast_print(smart_io::sep); } else { smart_io::first_print = false; } fast_print(object); return os; } template <class T> istream &operator,(istream &is, T &object) { fast_scan(object); return is; } namespace escape__from__random__aetuhoetnuhshe { using namespace std::chrono; mt19937 rng(duration_cast<milliseconds>(system_clock::now().time_since_epoch()) .count()); uniform_real_distribution<> prob_dist(0.0, 1.0); }; // namespace escape__from__random__aetuhoetnuhshe namespace typedefs {} namespace numbers_operation { template <class T> inline T floor_mod(T a, const T &b) { a %= b; if (a < 0) a += b; return a; } } // namespace numbers_operation using namespace numbers_operation; using namespace typedefs; using namespace escape__from__random__aetuhoetnuhshe; int n, m; vector<vector<pair<int, int>>> g; vector<bool> used; vector<int> st; vector<int> type; bool dfs(int v, int cur, int req) { st.push_back(v); used[v] = true; type[v] = cur; for (pair<int, int> sub : g[v]) { if (used[sub.first]) { if ((type[sub.first] ^ type[v] ^ sub.second) != req) { return false; } } else { if (!dfs(sub.first, type[v] ^ sub.second ^ req, req)) return false; } } return true; } signed main(signed argc, char *argv[]) { cin, n, m; g.resize(n); type.resize(n); for (int i = 0; i < (m); i++) { int a, b; string c; cin, a, b; cin, c; a--; b--; g[a].emplace_back(b, c == "R"); g[b].emplace_back(a, c == "R"); } vector<int> final(n + 1, -1); for (int req = 0; req < 2; req++) { vector<int> full; used = vector<bool>(n, false); for (int i = 0; i < (n); i++) { if (used[i]) continue; vector<int> best{-1}; for (int d = 0; d < (2); d++) { st.clear(); if (dfs(i, d, req)) { vector<int> acts; for (int first : st) { if (type[first]) acts.push_back(first); } if (best == vector<int>{-1} || ((int)best.size()) > ((int)acts.size())) { best = acts; } } if (d == 0) for (int first : st) { used[first] = false; } } if (best == vector<int>{-1}) best = vector<int>(n + 1, -1); full.insert(full.end(), best.begin(), best.end()); if (((int)full.size()) > n) break; } if (((int) final.size()) > ((int)full.size())) final = full; } if (((int) final.size()) <= n) { smart_io::precall_print(); cout, ((int) final.size()); for (auto &first : final) { first++; }; smart_io::precall_print(); cout, final; } else { smart_io::precall_print(); cout, -1; } }
#include <bits/stdc++.h> using namespace std; const double PI = 3.141592653589793238463; const long long mod = 1000000007; const long long mod2 = 10000019; template <typename T, typename U> std::pair<T, U> operator+(const std::pair<T, U> &l, const std::pair<T, U> &r) { return {l.first + r.first, l.second + r.second}; } struct E { int x; int y; int z; }; bool cmpf(E &a1, E &a2) { if (a1.x != a2.x) return a1.x < a2.x; if (a1.y != a2.y) return a1.y < a2.y; return a1.z < a2.z; } long long gcd(long long a, long long b) { if (a == 0 || b == 0) return a + b; return gcd(b, a % b); } const int nn = 100001; vector<int> ad[nn], rr[nn], bb[nn]; int cnt, mp[nn], cl[nn]; vector<int> tt[nn], x1, x2, res; int n, m; void dfs(int a) { mp[a] = cnt; tt[cnt].push_back(a); for (auto b : rr[a]) if (!mp[b]) dfs(b); } bool clr(int a, int x) { cl[a] = x; if (x == 1) x1.push_back(a); else x2.push_back(a); bool ret = 1; for (auto b : ad[a]) { if (cl[b] == cl[a]) return 0; if (!cl[b]) ret = ret && clr(b, 3 - x); } return ret; } int cal() { for (int i = (1); i <= (n); ++i) if (!mp[i]) ++cnt, dfs(i); for (int i = (1); i <= (n); ++i) for (auto j : bb[i]) { if (mp[i] == mp[j]) return -1; ad[mp[i]].push_back(mp[j]); ad[mp[j]].push_back(mp[i]); } for (int i = (1); i <= (cnt); ++i) if (!cl[i]) { x1.clear(); x2.clear(); if (!clr(i, 1)) return -1; int a1 = 0, a2 = 0; for (auto a : x1) a1 += tt[a].size(); for (auto a : x2) a2 += tt[a].size(); if (a1 < a2) { for (auto b : x1) res.insert(res.end(), tt[b].begin(), tt[b].end()); } else { for (auto b : x2) res.insert(res.end(), tt[b].begin(), tt[b].end()); } } return res.size(); } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < (m); i++) { int a, b; char c; scanf("%d %d %c", &a, &b, &c); if (c == 'R') { rr[a].push_back(b); rr[b].push_back(a); } else { bb[a].push_back(b); bb[b].push_back(a); } } int ans1 = cal(); vector<int> res1 = res; res.clear(); for (int i = (1); i <= (nn); ++i) ad[i].clear(), tt[i].clear(); memset(cl, 0, sizeof cl); memset(mp, 0, sizeof mp); cnt = 0; for (int i = (1); i <= (nn); ++i) swap(rr[i], bb[i]); int ans2 = cal(); vector<int> res2 = res; if (ans1 == -1 || (ans2 != -1 && ans1 > ans2)) { swap(ans1, ans2); swap(res1, res2); } cout << ans1 << endl; if (ans1 != -1) { for (auto x : res1) cout << x << " "; cout << endl; } }
#include <bits/stdc++.h> using namespace std; const int maxn = 105; int n, d, ans, hahaha[maxn]; char s[maxn]; bool pd[maxn]; int main() { scanf("%d%d", &n, &d); for (int i = 1; i <= d; i++) { scanf("%s", s + 1); for (int j = 1; j <= n; j++) if (s[j] == '0') pd[i] = 1; } for (int i = 1; i <= d; i++) { if (pd[i] && pd[i - 1]) hahaha[i] = hahaha[i - 1] + 1; else if (pd[i] && !pd[i - 1]) hahaha[i] = 1; else if (!pd[i]) hahaha[i] = 0; } for (int i = 1; i <= d; i++) ans = max(hahaha[i], ans); cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int i, j = 0, k = 0, n, d, c, e, f; cin >> n >> d; string s; for (i = 0; i < d; i++) { cin >> s; e = 1; for (c = 0; c < n; c++) { if (s[c] == '0') { e = 0; break; } } if (e == 0) { k++; } if (e == 1) { k = 0; } if (k > j) { j = k; } } cout << j << endl; return 0; }
#include <bits/stdc++.h> using namespace std; bool zero(string n) { for (int i = 0; i < n.length(); i++) { if (n[i] == '0') return 1; } return 0; } int main() { long long l, p; cin >> l >> p; string ST[200]; for (int i = 1; i <= p; i++) { cin >> ST[i]; } long long M = -100000000; long long Ans = 0; for (int i = 1; i <= p; i++) { if (zero(ST[i])) { Ans++; } else { Ans = 0; } if (Ans > M) { M = Ans; } } cout << M << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, m; cin >> n >> m; int t = 0, ans = 0; for (int i = 0; i < m; ++i) { string s; cin >> s; bool ck = true; for (int j = 0; j < n; ++j) { if (s[j] == '0') { ck = false; break; } } if (ck == false) ++t; if (ck == true) { ans = max(t, ans); t = 0; } } ans = max(t, ans); cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, m, k = 0, mx = 0; cin >> n >> m; for (int i = 0; i < m; i++) { int used = 0; string s; cin >> s; for (int j = 0; j < n; j++) { if (s[j] == '0') { k++; break; } if (j == n - 1) { k = 0; } } mx = max(k, mx); } cout << mx; }
#include <bits/stdc++.h> using namespace std; bool is_any_abs(string s) { for (char i : s) { if (i == '0') return true; } return false; } int main() { int n, d; cin >> n >> d; string s; int ans = 0, cur = 0; while (d--) { cin >> s; if (is_any_abs(s)) cur++; else { ans = max(ans, cur); cur = 0; } } ans = max(ans, cur); cout << ans; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; int main() { int n, d, t = 0, ans = 0, flag = 0; char ar[200][200]; cin >> n >> d; for (int i = 0; i < d; i++) { flag = 0; for (int j = 0; j < n; j++) { cin >> ar[i][j]; if (ar[i][j] == '0') { flag = 1; } } if (flag) { t++; ans = max(t, ans); } else { t = 0; } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, d, k = 0, x = 0, sum = 0; string s; while ((scanf("%d%d", &n, &d)) != EOF) { k = 0; x = 0; sum = 0; while (d--) { cin >> s; sum = 0; int l = s.size(); for (int j = 0; j < l; j++) { sum += (s[j] - '0'); } if (sum == n) { x = max(x, k); k = 0; } else k++; } x = max(x, k); printf("%d\n", x); } }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(0); int n, d, max = 0, k = 0; string x, c; cin >> n >> d; for (int i = 0; i < n; i++) { c += "1"; } for (int i = 0; i < d; i++) { cin >> x; if (x.compare(c) != 0) k++; if (max < k) max = k; if (x.compare(c) == 0) k = 0; } cout << max; return 0; }
#include <bits/stdc++.h> const double EPS = 0.0000000001; const long long mod1 = 998244353; const long long mod2 = 1000000007; const long long mod3 = 1000000009; const long long mod4 = 998244353; const long long inf = 10000000000000000; using namespace std; signed main() { cin.tie(0); cout.tie(0); std::ios_base::sync_with_stdio(0); long long n, a; cin >> n >> a; long long matrix[a][n]; for (long long i = 0; i < a; i++) { for (long long z = 0; z < n; z++) { char c; cin >> c; matrix[i][z] = (c - '0'); } } bool used[a]; for (long long i = 0; i < a; i++) { bool p = 0; for (long long z = 0; z < n; z++) { if (!matrix[i][z]) p = 1; } used[i] = p; } long long c = 0; long long x = 1; long long maxi = -1; for (long long i = 0; i < a; i++) { if (used[i]) { c++; continue; } maxi = max(maxi, c); c = 0; } maxi = max(maxi, c); cout << maxi; }
#include <bits/stdc++.h> using namespace std; int foe(int n, string a); int main() { int n, d, count = 0, max = 0; cin >> n >> d; string str; register int i; for (i = 0; i < d; i++) { cin >> str; if (foe(n, str)) count++; else { if (count > max) max = count; count = 0; } } if (count > max) max = count; cout << max; return 0; } int foe(int n, string a) { register int i; for (i = 0; i < n; i++) if (a[i] == '0') return 1; return 0; }
#include <bits/stdc++.h> using namespace std; int main(void) { int n, d; scanf("%d%d", &n, &d); char opp[d][n]; for (int i = 0; i < d; i++) { scanf("%s", opp[i]); } int counter = 0, maxi = 0; for (int i = 0; i < d; i++) { bool beaten = false; for (int k = 0; k < n; k++) { if (opp[i][k] == '0') { beaten = true; counter++; break; } } if (!beaten) { counter = 0; } if (counter > maxi) { maxi = counter; } } printf("%d\n", maxi); return 0; }
#include <bits/stdc++.h> using namespace std; bool beats[105]; int main() { int n, d, i, j; char str[105][105]; scanf("%d%d", &n, &d); for (i = 0; i < d; i++) { scanf("%s", str[i]); for (j = 0; j < n; j++) { if (str[i][j] == '0') { beats[i] = 1; } } } int maxi = 0, cnt = beats[0]; for (i = 1; i < d; i++) { if (beats[i]) { cnt++; } else { maxi = max(maxi, cnt); cnt = 0; } } maxi = max(maxi, cnt); printf("%d\n", maxi); return 0; }
#include <bits/stdc++.h> using namespace std; bool D = 1; void setup(bool output_to_file = false, string fname = "input") { ios_base::sync_with_stdio(false); if (fopen((string("input.in")).c_str(), "r")) fname = "input"; if (fopen((string("code.01.in")).c_str(), "r")) fname = "code.01"; if (fopen((fname + ".in").c_str(), "r")) { freopen((fname + ".in").c_str(), "r", stdin); if (output_to_file) freopen((fname + ".out").c_str(), "w", stdout); } } int op, n; int32_t main() { setup(); cin >> op >> n; string lose = ""; for (int i = 0; i < (op); i++) lose += "1"; int cons = 0, maxcons = 0; for (int i = 0; i < (n); i++) { string ops; cin >> ops; if (ops == lose) { cons = 0; } else { ++cons; } maxcons = max(maxcons, cons); ; } cout << maxcons << endl; return 0; }
#include <bits/stdc++.h> int main() { char a[200]; int n, d, sum[200], i, j, r, m, b[200], max; while (scanf("%d %d", &n, &d) == 2) { r = 0; max = 0; for (i = 0; i < d; i++) { sum[i] = 0; scanf("%s", a); for (j = 0; j < n; j++) { if (a[j] == '0') m = 0; else m = 1; sum[i] = sum[i] + m; } if (sum[i] < n) r++; else r = 0; b[i] = r; if (b[i] > max) max = b[i]; } printf("%d\n", max); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, d; string s; int main() { ios_base ::sync_with_stdio(false), cin.tie(NULL), cout.tie(NULL); cin >> n >> d; int ans = 0, res = 0; while (d--) { cin >> s; bool l = false; for (int i = 0; i < s.size(); i++) if (s[i] == '0') { l = true; break; } if (!l) { if (ans < res) ans = res; res = 0; } else res++; } if (res > ans) ans = res; cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; int main(void) { int n, m; cin >> n >> m; int flag = 0, mx = 0; for (int i = 0; i < m; i++) { string str; cin >> str; sort(str.begin(), str.end()); if (str[0] == '0') ++flag; else flag = 0; mx = max(mx, flag); } cout << mx << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long n, m, k, k1, ans, tec, MAXN[1111111], h[111111], l, r; string s, q; bool f, used[1111]; vector<int> v; int main() { cin >> m >> n; for (int i = 1; i <= n; ++i) { cin >> s; r = l; for (int j = 0; j < s.size(); ++j) { if (s[j] == '0') { l++; break; } } if (l > r) { ans = max(ans, l); } else l = 0; } cout << ans; }