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#include <bits/stdc++.h> #pragma comment(linker, "/STACK:268435456") using namespace std; template <typename T1, typename T2> istream& operator>>(istream& in, pair<T1, T2>& t) { return in >> t.first >> t.second; } template <typename T1, typename T2> ostream& operator<<(ostream& out, pair<T1, T2>& t) { return out << t.first << " " << t.second; } template <typename T> istream& operator>>(istream& in, vector<T>& t) { for (long long i = 0; i < t.size(); i++) in >> t[i]; return in; } template <typename T> ostream& operator<<(ostream& out, vector<T>& t) { for (long long i = 0; i < t.size(); i++) out << t[i] << " "; return out; } struct G { vector<long long> to, rev; long long stat[2] = {-1, -1}; long long left[2] = {-1, -1}; long long p[2] = {-1, -1}; }; vector<G> g; void bfs() { queue<pair<long long, long long> > que; for (long long i = 0; i < g.size(); i++) { g[i].left[0] = g[i].left[1] = g[i].to.size(); if (g[i].to.size() == 0) { g[i].stat[0] = 0; g[i].stat[1] = 0; que.push({i, 0}); que.push({i, 1}); } } while (!que.empty()) { long long v = que.front().first; long long who = que.front().second; que.pop(); long long stat = g[v].stat[who]; for (long long u : g[v].rev) { if (g[u].stat[!who] != -1) continue; if (who == 1) { if (stat == 1) { g[u].stat[!who] = 0; g[u].p[!who] = v; que.push({u, !who}); } else { g[u].left[!who]--; if (g[u].left[!who] == 0) { g[u].stat[!who] = 1; g[u].p[!who] = v; que.push({u, !who}); } } } else { if (stat == 0) { g[u].stat[!who] = 1; g[u].p[!who] = v; que.push({u, !who}); } else { g[u].left[!who]--; if (g[u].left[!who] == 0) { g[u].stat[!who] = 0; g[u].p[!who] = v; que.push({u, !who}); } } } } } } void res(long long v, long long who) { if (v == -1) return; cout << v + 1 << " "; res(g[v].p[who], !who); } signed main() { long long n, m; cin >> n >> m; g.resize(n); for (long long i = 0; i < n; i++) { long long sz; scanf("%lld", &sz); for (long long j = 0; j < sz; j++) { long long to; scanf("%lld", &to); to--; g[i].to.push_back(to); g[to].rev.push_back(i); } } bfs(); long long s; cin >> s; s--; if (g[s].stat[1] == 1) { puts("Win"); res(s, 1); cout << endl; } else if (g[s].stat[1] == -1) { puts("Draw"); } else if (g[s].stat[1] == 0) { puts("Lose"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e5 + 10; struct point { int to; int nxt; } edge[maxn]; int n, m, k, tot, sta, is_draw; int head[maxn], vis[maxn][2], out[maxn]; vector<int> st; inline void add(int u, int v) { tot++; edge[tot].nxt = head[u]; edge[tot].to = v; head[u] = tot; } inline void dfs(int x, int col) { if (vis[x][col]) return; st.push_back(x); vis[x][col] = 1; if (!out[x]) { if (col) { printf("Win\n"); int mm = st.size(); for (int i = 0; i < mm; i++) printf("%d ", st[i]); exit(0); } } for (int i = head[x]; i; i = edge[i].nxt) { int v = edge[i].to; if (vis[v][!col] == 1) is_draw = 1; dfs(v, !col); } st.pop_back(); vis[x][col] = 2; } int main() { cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> k; for (int j = 1; j <= k; j++) { int u; cin >> u; add(i, u); out[i]++; } } cin >> sta; dfs(sta, 0); if (is_draw) printf("Draw"); else printf("Lose"); return 0; }
#include <bits/stdc++.h> using namespace std; const int MX = 2e5 + 5; int vs[MX][4], path[MX], s; vector<int> g[MX]; void go(int u, int win, int id) { if (g[u].size() == 0) { if (win) { cout << "Win" << endl; for (int i = 0; i < id; i++) cout << path[i] << " "; cout << u << endl; exit(0); } } if (vs[u][win]) return; vs[u][win] = 1; path[id] = u; for (auto v : g[u]) { { go(v, win ^ 1, id + 1); } } } int visit[MX]; void cycle(int u) { if (visit[u] == 1) { cout << "Draw" << endl; exit(0); } visit[u] = 1; for (auto v : g[u]) { cycle(v); } visit[u] = 0; } int main() { int m, n, c, x; cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> c; for (int j = 0; j < c; j++) { cin >> x; g[i].push_back(x); } } cin >> s; go(s, 0, 0); cycle(s); cout << "Lose" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct node { long long nod, d; node(long long a, long long b) { nod = a; d = b; } bool operator<(const node &p) const { return p.d < d; } }; long long Set(long long n, long long pos) { return n = n | (1LL << pos); } long long reset(long long n, long long pos) { return n = n & ~(1LL << pos); } bool check(long long n, long long pos) { return (bool)(n & (1LL << pos)); } long long mul(long long a, long long b) { long long c; c = (a % 1000000007 * b % 1000000007) % 1000000007; return c; } long long add(long long a, long long b) { long long c; c = (a % 1000000007 + b % 1000000007) % 1000000007; return c; } long long sub(long long a, long long b) { long long c; c = ((a % 1000000007 - b % 1000000007) % 1000000007 + 1000000007) % 1000000007; return c; } long long power(long long x, long long y) { long long res = 1; x = x; while (y > 0) { if (y & 1) res = (res * x); y = y >> 1; x = (x * x); } return res; } long long s2, s1, t2, t1; long long egcd(long long a, long long b) { long long temp; if (a % b == 0) { return s1; } temp = s2 - (a / b) * s1; s2 = s1; s1 = temp; temp = t2 - (a / b) * t1; t2 = t1; t1 = temp; return egcd(b, a % b); } long long exgcd(long long x, long long y, long long &a, long long &b) { int flag = 0; long long t, la = 1, lb = 0, ra = 0, rb = 1; while (x % y) { if (flag == 0) la -= x / y * ra, lb -= x / y * rb; else ra -= x / y * la, rb -= x / y * lb; t = x, x = y, y = t % y; flag = 1 - flag; } if (flag == 0) a = ra, b = rb; else a = la, b = lb; return y; } long long n, m, s; vector<long long> graph[200005]; long long vis[200005][2]; long long win[200005][2]; pair<long long, long long> win_asche[200005][2]; void dfs(long long src, long long kar_chal) { if (vis[src][kar_chal] == 2) return; if (graph[src].size() == 0) { vis[src][kar_chal] = 2; if (kar_chal == 0) win[src][kar_chal] = 0; else win[src][kar_chal] = 1; return; } vis[src][kar_chal] = 1; win[src][kar_chal] = 0; for (long long i = 0; i < graph[src].size(); i++) { long long adj = graph[src][i]; if (vis[adj][kar_chal ^ 1LL] == 1) { if (win[src][kar_chal] == 0) win[src][kar_chal] = 2; continue; } dfs(adj, kar_chal ^ 1LL); if (win[adj][kar_chal ^ 1LL] == 1 && win[src][kar_chal] != 1) { win[src][kar_chal] = 1; win_asche[src][kar_chal] = pair<long long, long long>(adj, kar_chal ^ 1LL); } else if (win[adj][kar_chal ^ 1LL] == 2 && win[src][kar_chal] == 0) { win[src][kar_chal] = 2; } } vis[src][kar_chal] = 2; } void dfs2(long long src, long long kar_chal) { printf("%lld ", src); if (win_asche[src][kar_chal].first != -1) { dfs2(win_asche[src][kar_chal].first, win_asche[src][kar_chal].second); } } int main() { memset((win_asche), (-1), sizeof(win_asche)); scanf("%lld", &n); scanf("%lld", &m); for (long long i = 1; i <= n; i++) { long long out; scanf("%lld", &out); for (long long j = 1; j <= out; j++) { long long nod; scanf("%lld", &nod); graph[i].push_back(nod); } } scanf("%lld", &s); dfs(s, 0); if (win[s][0] == 0) { printf("Lose\n"); return 0; } else if (win[s][0] == 2) { printf("Draw\n"); return 0; } else if (win[s][0] == 1) { printf("Win\n"); dfs2(s, 0); } return 0; }
#include <bits/stdc++.h> using namespace std; stack<int> st; vector<int> v[100005], rv[100005], ans; int nodes, vis[100005], dp[100005][2], par[100005]; bool chk, dpv[100005][2]; void dfs(int n) { nodes++; vis[n] = 1; for (int i = 0; i < v[n].size(); i = i + 1) { if (vis[v[n][i]] != 1) dfs(v[n][i]); } if (v[n].size() == 0) chk = 1; st.push(n); } void dfs1(int n, int p) { par[n] = p; vis[n] = 2; for (int i = 0; i < rv[n].size(); i = i + 1) { if (vis[rv[n][i]] == 1) { dfs1(rv[n][i], p); } } } int dfs2(int n, bool c) { if (dpv[n][c]) return dp[n][c]; dpv[n][c] = 1; dp[n][c] = 1000000000; if (v[n].size() == 0) { if (c) dp[n][1] = 1; else dp[n][0] = 1000000000; } for (int i = 0; i < v[n].size(); i = i + 1) { if (par[n] == par[v[n][i]]) continue; dp[n][c] = min(dp[n][c], 1 + dfs2(v[n][i], !c)); } for (int i = 0; i < v[n].size(); i = i + 1) { if (par[n] != par[v[n][i]]) continue; dp[n][c] = min(dp[n][c], 1 + dfs2(v[n][i], !c)); } return dp[n][c]; } void path(int n, bool c) { ans.push_back(n); for (int i = 0; i < v[n].size(); i = i + 1) { if (dp[v[n][i]][!c] + 1 == dp[n][c]) { path(v[n][i], !c); return; } } } int main() { bool draw; int n, m, c, a, s; scanf("%d %d", &n, &m); for (int i = 1; i < n + 1; i = i + 1) { scanf("%d", &c); while (c--) { scanf("%d", &a); v[i].push_back(a); rv[a].push_back(i); } } scanf("%d", &s); dfs(s); if (!chk) { printf("Draw\n"); return 0; } c = 1; while (!st.empty()) { a = st.top(); st.pop(); if (vis[a] == 2) continue; dfs1(a, c); c++; } if (nodes > (c - 1)) draw = 1; else draw = 0; if (dfs2(s, 0) < 1000000000) { path(s, 0); printf("Win\n"); for (int i = 0; i < ans.size(); i = i + 1) printf("%d ", ans[i]); return 0; } else { if (draw) { printf("Draw\n"); return 0; } else { printf("Lose\n"); return 0; } } }
#include <bits/stdc++.h> using namespace std; long long gcd(long long a, long long b) { if (a == 0) return b; return gcd(b % a, a); } long long powm(long long base, long long exp, long long mod = 998244353) { base %= mod; long long ans = 1; while (exp) { if (exp & 1LL) ans = (ans * base) % mod; exp >>= 1LL, base = (base * base) % mod; } return ans; } vector<long long> ed[100005]; int a[100005]; int v[100005][2]; int fd = 0; stack<long long> ans; int dfs(int x, int curr) { if (v[x][curr]) { if (v[x][curr] == 1) { fd = 1; } return 0; } v[x][curr] = 1; if (ed[x].size() == 0) { v[x][curr] = 2; if (curr == 2) { ans.push(x); return 1; } else return 0; } for (auto it : ed[x]) { int t = dfs(it, 3 - curr); if (t == 1) { ans.push(x); return 1; } } v[x][curr] = 2; return 0; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); long long n, m; cin >> n >> m; for (long long i = 1; i <= n; i++) { long long c; cin >> c; for (long long j = 0; j < c; j++) { long long a; cin >> a; ed[i].push_back(a); } } int s; cin >> s; bool t = dfs(s, 1); if (t) { cout << "Win" << '\n'; while (!ans.empty()) { cout << ans.top() << " "; ans.pop(); } } else if (fd) cout << "Draw" << '\n'; else cout << "Lose" << '\n'; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100007; struct edge { int c; int *p; } e[maxn]; int vis[maxn][3]; int color[maxn]; bool rch[maxn]; bool is_DAG = 1; void dfs(int u, int st) { for (int i = 1; i <= e[u].c; i++) { if (!vis[e[u].p[i]][(st + 1) % 2]) { vis[e[u].p[i]][(st + 1) % 2] = u; dfs(e[u].p[i], st + 1); } } } void find_rch(int u) { rch[u] = 1; for (int i = 1; i <= e[u].c; ++i) { if (!rch[e[u].p[i]]) { find_rch(e[u].p[i]); } } } void coloring(int u) { color[u] = -1; for (int i = 1; i <= e[u].c; ++i) { if (color[e[u].p[i]] == -1) { is_DAG = false; } else { if (color[e[u].p[i]] == 0) coloring(e[u].p[i]); } } color[u] = 1; } int main() { memset(color, 0, sizeof(color)); memset(rch, 0, sizeof(rch)); memset(vis, 0, sizeof(vis)); int n, m, s; scanf("%d%d", &n, &m); for (int i = 1; i <= n; ++i) { int c; scanf("%d", &c); e[i].c = c; e[i].p = new int[c + 1]; for (int j = 1; j <= c; ++j) { scanf("%d", &e[i].p[j]); } } scanf("%d", &s); vis[s][0] = -1; dfs(s, 0); bool fg = false; for (int i = 1; i <= n; ++i) { if (!e[i].c) { fg = 1; if (vis[i][1]) { printf("Win\n"); int u = i; int z = 1, ans[maxn], cnt = 0; while (u != -1) { ans[++cnt] = u; u = vis[u][z]; z = 1 - z; } for (int i = cnt; i > 0; --i) { printf("%d ", ans[i]); } return 0; } } } if (fg) { find_rch(s); for (int i = 1; i <= n; ++i) { if (rch[i] && !color[i]) { coloring(i); } } if (!is_DAG) { printf("Draw"); } else { printf("Lose"); } } else { printf("Draw"); } return 0; }
#include <bits/stdc++.h> const int INF = 0x3f3f3f3f; const long long LINF = 0x3f3f3f3f3f3f3f3fll; using namespace std; const double eps = 1e-6; const long long mod = 1e9 + 7; const int maxn = 1e5 + 100; const int maxe = 1e6 + 100; struct node { int y, Next; } data[maxn << 1]; bool dp[maxn][2], cir; int h[maxn], num, vis[maxn][2], out[maxn], Next[maxn][2], n, m; inline bool dfs(int x, int s) { if (!out[x]) return s == 1; if (vis[x][s] == 2) return dp[x][s]; vis[x][s] = 1; bool t = 0; for (int i = h[x]; i; i = data[i].Next) { int y = data[i].y; if (vis[y][s ^ 1] == 1) { cir = 1; continue; } if (dfs(y, s ^ 1)) { t = 1; Next[x][s] = y; } } vis[x][s] = 2; return dp[x][s] = t; } inline void print(int x, int s) { printf("%d ", x); if (Next[x][s]) { print(Next[x][s], s ^ 1); } } void Solve() { cin >> n >> m; int to, xx; for (int i = 1; i <= n; i++) { cin >> xx; while (xx--) { cin >> to; ++out[i]; data[++num].y = to; data[num].Next = h[i]; h[i] = num; } } int st; cin >> st; if (dfs(st, 0)) { printf("Win\n"); print(st, 0); } else if (cir) { printf("Draw\n"); } else { printf("Lose\n"); } return; } int main() { int Case = 1, cases; while (Case--) { Solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> vv[100005]; bool vis[100005], inpath[100005], VIS[100005][2]; int dp[100005][2]; bool dfs1(int u) { vis[u] = 1; inpath[u] = 1; int ret = 0; for (int i = 0; i < vv[u].size(); i++) { int v = vv[u][i]; if (vis[v] == 0) { ret |= dfs1(v); } else if (inpath[v]) ret = 1; } inpath[u] = 0; return ret; } int solve(int u, int st) { if (vv[u].size() == 0 && st == 0) { VIS[u][st] = 1; return dp[u][st] = 1; } if (vv[u].size() == 0 && st == 1) return 0; if (VIS[u][st]) return dp[u][st]; int ret = 0; VIS[u][st] = 1; for (int i = 0; i < vv[u].size(); i++) { int v = vv[u][i]; ret |= solve(v, st ^ 1); } return dp[u][st] = ret; } void print(int u, int st) { printf("%d ", u); if (vv[u].size() == 0) return; VIS[u][st] = 0; for (int i = 0; i < vv[u].size(); i++) { int v = vv[u][i]; if (dp[v][st ^ 1] && VIS[v][st ^ 1]) { print(v, st ^ 1); return; } } } int main() { int n, m; scanf("%d %d", &n, &m); for (int i = 1; i <= n; i++) { int c; scanf("%d", &c); for (int j = 1; j <= c; j++) { int v; scanf("%d", &v); vv[i].push_back(v); } } bool draw = 0; int s; scanf("%d", &s); draw = dfs1(s); int ans = solve(s, 1); if (ans) { printf("Win\n"); print(s, 1); } else if (draw) printf("Draw"); else printf("Lose"); }
#include <bits/stdc++.h> using namespace std; const int maxn = 100002; int n, m, s, _prev[maxn][2]; bool visited[maxn][2], passed[maxn], done[maxn]; vector<int> g[maxn]; void dfs(int u, int x) { visited[u][x] = true; for (int i = 0; i < g[u].size(); ++i) { int v = g[u][i]; if (!visited[v][x ^ 1]) { dfs(v, x ^ 1); _prev[v][x ^ 1] = u; } } } void trace(int u, int x) { if (u == 0) return; trace(_prev[u][x], x ^ 1); cout << u << ' '; } bool isWin() { dfs(s, 1); for (int u = 1; u <= n; ++u) { if (g[u].size() == 0 && visited[u][0]) { cout << "Win\n"; trace(u, 0); return true; } } return false; } bool isDraw(int u) { if (passed[u] && !done[u]) return true; if (passed[u]) return false; passed[u] = true; for (int i = 0; i < g[u].size(); ++i) { int v = g[u][i]; if (isDraw(v)) return true; } done[u] = true; return false; } int main() { ios::sync_with_stdio(0); cin.tie(0); cin >> n >> m; for (int u = 1; u <= n; ++u) { int k; cin >> k; while (k--) { int v; cin >> v; g[u].push_back(v); } } cin >> s; if (!isWin()) { if (isDraw(s)) cout << "Draw"; else cout << "Lose"; } }
#include <bits/stdc++.h> using namespace std; const int len = 1e5 + 5; int vis[len][2], low[len], num[len], vi[len], cnt, is[len]; vector<int> adj[len], vec, out, second; void dfs(int u, int t) { vis[u][t] = 1; vec.push_back(u); if (adj[u].size() == 0 && t && out.size() == 0) { for (int j = 0; j < vec.size(); j++) out.push_back(vec[j]); } for (int j = 0; j < adj[u].size(); j++) { int v = adj[u][j]; if (!vis[v][1 - t]) dfs(v, 1 - t); } vec.pop_back(); } int draw(int u) { int ans = 0; vi[u] = 1; for (int j = 0; j < adj[u].size(); j++) { int v = adj[u][j]; if (vi[v] == 1) ans = 1; else if (vi[v] == 0) ans = ans | draw(v); } vi[u] = 2; return ans; } int main() { int n, m, s; scanf("%d %d", &n, &m); for (int i = 1; i <= n; i++) { int k, temp; scanf("%d", &k); while (k--) { scanf("%d", &temp); adj[i].push_back(temp); } } scanf("%d", &s); dfs(s, 0); if (out.size() != 0) { printf("Win\n"); for (int i = 0; i < out.size(); i++) printf("%d ", out[i]); printf("\n"); return 0; } if (draw(s)) printf("Draw\n"); else printf("Lose\n"); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int k = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { k = k * 10 + ch - '0'; ch = getchar(); } return k * f; } inline void write(int x) { if (x < 0) putchar('-'), x = -x; if (x > 9) write(x / 10); putchar(x % 10 + '0'); } inline void writeln(int x) { write(x); puts(""); } int f[100010][2], n, m; bool b[100010]; int nedge = 0, p[200010], nex[200010], head[200010]; inline void addedge(int a, int b) { p[++nedge] = b; nex[nedge] = head[a]; head[a] = nedge; } bool flag = 0; bool vis[100010]; inline void dfs(int x, int v) { vis[x] = 1; for (int k = head[x]; k; k = nex[k]) { if (vis[p[k]]) flag = 1; if (f[p[k]][v ^ 1] == -1) { f[p[k]][v ^ 1] = x; dfs(p[k], v ^ 1); } } vis[x] = 0; } inline void dfss(int x, int v) { if (!x) return; dfss(f[x][v], v ^ 1); write(x); putchar(' '); } int main() { memset(f, -1, sizeof f); n = read(); m = read(); for (int i = 1; i <= n; i++) { int mm = read(); for (int j = 1; j <= mm; j++) { int x = read(); addedge(i, x); } if (!mm) b[i] = 1; } int rt = read(); f[rt][0] = 0; dfs(rt, 0); for (int i = 1; i <= n; i++) if (b[i] && f[i][1] > 0) { puts("Win"); dfss(i, 1); return 0; } if (flag) puts("Draw"); else puts("Lose"); return 0; }
#include <bits/stdc++.h> using namespace std; using pii = pair<int, int>; using vi = vector<int>; using ll = long long; using ull = unsigned long long; vi G[100001]; vi GT[100001]; bool vis[100001]; int topo[100001]; int tim; void dfs(int v) { if (vis[v]) return; vis[v] = true; for (auto u : G[v]) dfs(u); topo[--tim] = v; } int scc[100001]; bool marked[100001]; int sccsize[100001]; void dfsscc(int v, int s) { if (vis[v]) return; vis[v] = true; scc[v] = s; sccsize[s]++; for (auto u : GT[v]) dfsscc(u, s); } void markscc(int v) { if (vis[v]) return; vis[v] = true; marked[scc[v]] = true; for (auto u : G[v]) markscc(u); } bool vis2[100001][2]; int parent[100001][2]; void dfs3(int v, int p, bool k = false) { if (vis2[v][k]) return; vis2[v][k] = true; parent[v][k] = p; for (auto u : GT[v]) dfs3(u, v, !k); } void solve() { int n, m, c, s; cin >> n >> m; for (int i = 0; i < (n); ++i) { cin >> c; G[i + 1].resize(c); for (int j = 0; j < (c); ++j) { cin >> G[i + 1][j]; GT[G[i + 1][j]].push_back(i + 1); } } cin >> s; tim = n; for (int i = 0; i < (n); ++i) dfs(i + 1); fill(vis, vis + n + 1, false); int sccnum = 0; for (int i = 0; i < (n); ++i) if (!vis[topo[i]]) dfsscc(topo[i], sccnum++); fill(vis, vis + n + 1, false); markscc(s); bool draw = false; for (int i = scc[s]; i < sccnum; ++i) if (marked[i] && sccsize[i] > 1) draw = true; for (int i = 0; i < (n); ++i) if (marked[scc[i + 1]] && G[i + 1].empty()) dfs3(i + 1, -1); if (vis2[s][1]) { cout << "Win\n"; int xd = 1; while (!G[s].empty()) { cout << s << ' '; s = parent[s][xd]; xd = 1 - xd; } cout << s << '\n'; } else cout << (draw ? "Draw" : "Lose") << '\n'; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX_N = 1e5 + 9; int res[MAX_N][2], point[MAX_N], num_s, st[MAX_N * 4], vis[MAX_N]; vector<int> vec[MAX_N]; int N, M, x; void init() { num_s = 0; memset(st, 0, sizeof(st)); memset(vis, 0, sizeof(vis)); memset(res, 0, sizeof(res)); memset(point, 0, sizeof(point)); for (int i = 0; i < MAX_N; i++) vec[i].clear(); } bool dfs(int pos, int x) { if (res[pos][x ^ 1] == 1) return false; res[pos][x ^ 1] = 1; st[num_s++] = pos; if (vec[pos].size() == 0 && res[pos][1]) { return true; } for (int i = 0; i < vec[pos].size(); i++) { if (dfs(vec[pos][i], x ^ 1)) return true; } num_s--; return false; } bool cheak(int pos) { vis[pos] = 1; bool f = false; for (int i = 0; i < vec[pos].size(); i++) { if (vis[vec[pos][i]] == 1) f = true; else if (vis[vec[pos][i]] == 0) f = cheak(vec[pos][i]); if (f) return true; } vis[pos] = 2; return false; } int main() { cin >> N >> M; init(); for (int i = 1; i <= N; i++) { int num, temp; scanf("%d", &num); for (int j = 0; j < num; j++) { scanf("%d", &temp); vec[i].push_back(temp); } } int pos; cin >> pos; if (dfs(pos, 1)) { cout << "Win" << endl; for (int i = 0; i < num_s; i++) { printf("%d ", st[i]); } cout << endl; } else if (cheak(pos)) cout << "Draw" << endl; else cout << "Lose" << endl; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e5 + 10; struct point { int to; int nxt; } edge[maxn]; int n, m, k, tot, sta, is_draw; int head[maxn], vis[maxn][2], out[maxn]; vector<int> st; inline void add(int u, int v) { tot++; edge[tot].nxt = head[u]; edge[tot].to = v; head[u] = tot; } inline void dfs(int x, int col) { if (vis[x][col]) return; st.push_back(x); vis[x][col] = 1; if (!out[x]) { if (col) { printf("Win\n"); int mm = st.size(); for (int i = 0; i < mm; i++) printf("%d ", st[i]); exit(0); } } for (int i = head[x]; i; i = edge[i].nxt) { int v = edge[i].to; if (vis[v][!col] == 1) is_draw = 1; dfs(v, !col); } st.pop_back(); vis[x][col] = 2; } int main() { cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> k; for (int j = 1; j <= k; j++) { int u; cin >> u; add(i, u); out[i]++; } } cin >> sta; dfs(sta, 0); if (is_draw) printf("Draw"); else printf("Lose"); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; vector<int> adj[100005]; int v[100005][2]; bool cycle; void f(int i, int parity, vector<int> &path) { path.push_back(i); v[i][parity] = 1; if (adj[i].size() == 0 && parity) { cout << "Win\n"; for (int x : path) cout << x << ' '; exit(0); } for (int x : adj[i]) { if (v[x][!parity] == 1) cycle = true; else if (v[x][!parity] == 0) f(x, !parity, path); } path.pop_back(); v[i][parity] = 2; } void solve() { ll i, j; ll n, m; cin >> n >> m; for (i = 1; i <= n; i++) { int c; cin >> c; for (j = 0; j < c; j++) { int x; cin >> x; adj[i].push_back(x); } } int s; cin >> s; vector<int> path; f(s, 0, path); if (cycle) cout << "Draw"; else cout << "Lose"; } int main() { ios::sync_with_stdio(false); cin.tie(0); int t = 1; while (t--) solve(); }
#include <bits/stdc++.h> using namespace std; vector<int> ans; int visited[100001][2], vis[100001]; vector<vector<int> > node; bool draw; bool cycle(int v, bool turn) { if (vis[v]) return vis[v] == 1; vis[v] = 1; for (auto i : node[v]) { if (cycle(i, !turn)) return true; } vis[v] = 2; return false; } bool dfs(int v, bool turn) { if (node[v].empty()) { if (turn) ans.push_back(v); return turn; } visited[v][turn] = 1; for (auto i : node[v]) { if (!visited[i][!turn] && dfs(i, !turn)) { ans.push_back(v); return true; } } return false; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, m; cin >> n >> m; node = vector<vector<int> >(n + 1); for (auto i = 1; i <= (long long)(n); i++) { int x; cin >> x; for (auto j = 0; j < (long long)(x); j++) { int u; cin >> u; node[i].push_back(u); } } int src; cin >> src; if (dfs(src, 0)) { cout << "Win\n"; for (int i = ((int)((ans).size())) - 1; i >= 0; i--) cout << ans[i] << " "; } else if (cycle(src, 0)) cout << "Draw"; else cout << "Lose"; return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; int n, m; int s[100009], nt[200009], e[200009]; int out[100009], vis[100009][2], v, ss; int cnt, flag[100009]; struct node { int x, y; } pre, nt1; int dfs(int k) { flag[k] = 1; for (int i = s[k]; ~i; i = nt[i]) { if (flag[e[i]] == 1) return 1; else if (flag[e[i]] == 0) { if (dfs(e[i])) return 1; } } flag[k] = 2; return 0; } int main() { while (~scanf("%d %d", &n, &m)) { cnt = 0; memset(s, -1, sizeof s); for (int i = 1; i <= n; i++) { scanf("%d", &out[i]); for (int j = 0; j < out[i]; j++) { scanf("%d", &v); nt[cnt] = s[i], s[i] = cnt, e[cnt++] = v; } } scanf("%d", &ss); memset(vis, 0, sizeof vis); memset(flag, 0, sizeof flag); pre.x = ss, pre.y = 0; vis[ss][0] = -1; queue<node> q; q.push(pre); while (!q.empty()) { pre = q.front(); q.pop(); for (int i = s[pre.x]; ~i; i = nt[i]) { if (!vis[e[i]][pre.y ^ 1]) { vis[e[i]][pre.y ^ 1] = pre.x; nt1.x = e[i], nt1.y = pre.y ^ 1; q.push(nt1); } } } int flag = 0; for (int i = 1; i <= n; i++) { if ((!out[i]) && vis[i][1]) { printf("Win\n"); int now = 1, k = i; vector<int> ans; while (k != -1) { ans.push_back(k); k = vis[k][now]; now ^= 1; } for (int j = ans.size() - 1; j >= 0; j--) { if (j) printf("%d ", ans[j]); else printf("%d\n", ans[j]); } flag = 1; break; } } if (!flag) { if (dfs(ss)) printf("Draw\n"); else printf("Lose\n"); } } return 0; }
#include <bits/stdc++.h> using namespace std; void TxtRead() { freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); } const int N = 2e5 + 5; vector<int> path, g[N]; char mark[N]; bool noWay, used[N][2]; int n, m, x, c, s; void dfs(int v, bool state) { path.push_back(v); used[v][state] = 1; for (int i = 0; i < g[v].size(); i++) { int to = g[v][i]; if (!used[to][!state]) dfs(to, !state); } if (g[v].empty() && state) { cout << "Win\n"; for (int i = 0; i < path.size(); i++) cout << path[i] << " "; exit(0); } path.pop_back(); } void bfs(int v) { mark[v] = 1; for (int i = 0; i < g[v].size(); i++) { int to = g[v][i]; if (mark[to] == 1) noWay = 1; if (!mark[to]) bfs(to); } mark[v] = 2; } int main() { ios_base::sync_with_stdio(0); cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> c; for (int j = 0; j < c; j++) { cin >> x; g[i].push_back(x); } } cin >> s; bfs(s); dfs(s, 0); if (noWay) cout << "Draw"; else cout << "Lose"; }
#include <bits/stdc++.h> using namespace std; const long long N = 2e5 + 200; const long long MOD = 1e9 + 7; const long long LIM = N; vector<long long> rec, v[N]; set<long long> flex; long long f[N][2], PISOS, n, m, k, x, top; void dfs(long long x, long long form) { rec.push_back(x); flex.insert(x); f[x][form] = 1; for (auto to : v[x]) { if (flex.find(to) != flex.end()) PISOS = 1; if (!f[to][form ^ 1]) dfs(to, form ^ 1); } if (v[x].empty() && form == 1) { cout << "Win" << "\n"; for (auto x : rec) cout << x << " "; cout << "\n"; exit(0); } flex.erase(x); rec.pop_back(); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> k; while (k--) { cin >> x; v[i].push_back(x); } } cin >> top; dfs(top, 0); if (PISOS) return cout << "Draw", 0; cout << "Lose"; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX = 1e5 + 5; bool vis[MAX][3]; bool call_stack[MAX]; vector<vector<int> > adj; stack<int> s; bool flag; bool dfs(int node, int turn) { int sz = adj[node].size(); if (sz == 0 && turn == 2) return 1; for (int i = 0; i < sz; i++) { int v = adj[node][i]; if (call_stack[v]) flag = 1; if (!vis[v][3 - turn]) { vis[v][3 - turn] = 1; call_stack[v] = 1; if (dfs(v, 3 - turn)) { s.push(v); return 1; } } call_stack[v] = 0; } return 0; } int main() { adj.resize(MAX); int n, m; scanf("%d %d", &n, &m); for (int i = 1; i <= n; i++) { int x; scanf("%d", &x); for (int j = 0; j < x; j++) { int vtx; scanf("%d", &vtx); adj[i].push_back(vtx); } } int st; scanf("%d", &st); vis[st][1] = 1; call_stack[st] = 1; if (dfs(st, 1)) { printf("Win\n%d", st); while (!s.empty()) { printf(" %d", s.top()); s.pop(); } } else { if (flag) puts("Draw"); else puts("Lose"); } }
#include <bits/stdc++.h> using namespace std; vector<vector<int> > graph; stack<int> dfs; vector<int> visited[2]; vector<pair<int, int> > paths; int recurr(int v, int l) { dfs.push(v); visited[l][v] = 1; int ret = -2, t; if (graph[v].size() == 0 && l == 1) { return 0; } for (int i = 0; i < graph[v].size(); i++) { if (visited[!l][graph[v][i]] == 0) { t = recurr(graph[v][i], !l); if (t == 0) { return 0; } else if (t == -1) { ret = -1; } } if (visited[0][graph[v][i]] == 1 || visited[1][graph[v][i]] == 1) { ret = -1; } } visited[l % 2][v] = 2; dfs.pop(); return ret; } void printStack() { if (dfs.size() > 0) { int t = dfs.top() + 1; dfs.pop(); printStack(); cout << t << " "; } } int main() { ios::sync_with_stdio(false); cin.tie(0); int n, m, c, s; cin >> n >> m; graph.resize(n); visited[0].resize(n, 0); visited[1].resize(n, 0); for (int i = 0; i < n; i++) { cin >> c; graph[i].resize(c); for (int j = 0; j < c; j++) { cin >> graph[i][j]; graph[i][j]--; } } cin >> s; s--; switch (recurr(s, 0)) { case 0: cout << "Win" << endl; printStack(); cout << endl; break; case -1: cout << "Draw" << endl; break; case -2: cout << "Lose" << endl; break; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100001; const long long MOD = 1e9 + 7; int n, m, s, outd[N], p_e[N], p_o[N]; vector<vector<int> > g; bool in_stack[N], vis_e[N], vis_o[N], vis[N]; bool dfs(int u) { in_stack[u] = 1; vis[u] = 1; bool ans = 0; for (int i = 0; i < g[u].size(); i++) { if (in_stack[g[u][i]]) return 1; else if (!vis[g[u][i]]) ans = ans || dfs(g[u][i]); } in_stack[u] = 0; return ans; } void dfs2(int u, int d) { for (int i = 0; i < g[u].size(); i++) { int v = g[u][i], d2 = d ^ 1; if (d2 == 0) { if (!vis_e[v]) { vis_e[v] = 1; p_e[v] = u; dfs2(v, d2); } } else { if (!vis_o[v]) { vis_o[v] = 1; p_o[v] = u; dfs2(v, d2); } } } } int main() { scanf("%d%d", &n, &m); g.resize(n); for (int i = 0; i < n; i++) { int x, v; scanf("%d", &x); outd[i] = x; while (x--) { scanf("%d", &v); v--; g[i].push_back(v); } } scanf("%d", &s); s--; bool cycle = dfs(s); vis_o[s] = 1; p_e[s] = -1; p_o[s] = -1; dfs2(s, 1); for (int i = 0; i < n; i++) if (!outd[i] && vis_e[i]) { int u = i, c = 0; vector<int> res; int cnt = 0; while (u != -1) { cnt++; res.push_back(u); if (!c) u = p_e[u]; else u = p_o[u]; c ^= 1; } reverse(res.begin(), res.end()); puts("Win"); for (int j = 0; j < res.size(); j++) printf("%s%d", (j ? " " : ""), res[j] + 1); puts(""); return 0; } if (cycle) puts("Draw"); else puts("Lose"); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, c, s; vector<int> g[100005], gn[3 * 100005]; stack<int> st; bool recst[3 * 100005] = {}; bool visited[3 * 100005] = {}; bool flag = 0, cycle = 0; void printst() { vector<int> temp; while (!st.empty()) { int tx = st.top(); temp.push_back(tx); st.pop(); } reverse(temp.begin(), temp.end()); cout << "Win" << endl; for (int i = 0; i < temp.size(); i++) { cout << temp[i] / 2 << " "; st.push(temp[i]); } cout << endl; flag = 1; return; } void dfs(int u) { visited[u] = 1; st.push(u); recst[u] = 1; if (u % 2 == 0 && g[u / 2].size() == 0 && !flag) { printst(); } for (int i = 0; i < gn[u].size(); i++) { int v = gn[u][i]; if (recst[v]) { cycle = 1; } if (!visited[v]) dfs(v); } st.pop(); recst[u] = 0; return; } int main() { cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> c; while (c--) { int v; cin >> v; g[i].push_back(v); gn[2 * i].push_back(2 * v + 1); gn[2 * i + 1].push_back(2 * v); } } cin >> s; dfs(2 * s + 1); if (!flag) { if (cycle) cout << "Draw" << endl; else cout << "Lose" << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, s; int even_odd[100005][2]; int visited[100005]; vector<int> ans; vector<int> v[100005]; int dfs(int s, int p) { if (v[s].empty() && p) { ans.push_back(s); return 1; } for (auto it : v[s]) { if (even_odd[it][p ^ 1] == 0) { even_odd[it][p ^ 1] = s; if (dfs(it, p ^ 1) == 1) { ans.push_back(s); return 1; } } } return 0; } bool dfs2(int source) { visited[source] = 1; for (auto it : v[source]) if (visited[it] == 1 || (visited[it] == 0 && dfs2(it))) return true; visited[source] = 2; return false; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> m; for (int i = 0; i < n; i++) { int k; cin >> k; for (int j = 0; j < k; j++) { int a; cin >> a; v[i + 1].push_back(a); } } cin >> s; if (dfs(s, 0)) { cout << "Win\n"; for (int i = ans.size() - 1; i >= 0; i--) cout << ans[i] << " "; return 0; } if (dfs2(s)) { cout << "Draw\n"; return 0; } cout << "Lose\n"; return 0; }
#include <bits/stdc++.h> using namespace std; std::vector<int> adj[100005]; int rec[100005], last, vis[100005]; int dp[100005][2]; bool found_cycle(int x, int dir, int p) { if (rec[x]) return true; if (vis[x]) return false; vis[x] = 1; rec[x] = true; for (int i = 0; i < adj[x].size(); ++i) { if (found_cycle(adj[x][i], !dir, x)) return true; } rec[x] = false; return false; } bool dfs(int x, int dir, int p) { if (dp[x][dir] != -1) { if (dp[x][dir] == -2) return false; return true; } dp[x][dir] = -2; for (int i = 0; i < adj[x].size(); ++i) { if (dfs(adj[x][i], !dir, x)) { dp[x][dir] = adj[x][i]; return true; } } if (adj[x].size() == 0) { if (dir == 1) { dp[x][dir] = 1000001; return true; } } return false; } int n, m, v, s, l; int main(int argc, char const *argv[]) { cin >> n >> m; for (int i = 0; i < n; i++) { cin >> l; for (int j = 0; j < l; j++) { cin >> v; v--; adj[i].push_back(v); } } cin >> s; s--; for (int i = 0; i < n; i++) dp[i][0] = dp[i][1] = -1; for (int i = 0; i < n; ++i) rec[i] = false; string ans = "Lose"; if (found_cycle(s, 0, 0)) ans = "Draw"; if (dfs(s, 0, 0)) ans = "Win"; if (ans == "Win") { cout << ans << "\n"; int dir = 0, last = s; while (last != 1000001) { cout << last + 1 << " "; last = dp[last][dir]; dir = !dir; } } else cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 200004; int vs[N][2]; int vis[N]; int path[10 * N]; vector<int> g[N]; void dfs(int u, int win, int id) { if (g[u].size() == 0) { if (win) { printf("Win\n"); for (int i = 0; i < id; i++) printf("%d ", path[i]); printf("%d\n", u); exit(0); } } path[id] = u; if (vs[u][win]) return; vs[u][win] = 1; int i; for (i = 0; i < g[u].size(); i++) { int v = g[u][i]; dfs(v, win ^ 1, id + 1); } } void cycle(int u) { vis[u] = 2; for (int i = 0; i < g[u].size(); i++) { int v = g[u][i]; if (vis[v] == 1) continue; else if (vis[v] == 2) { printf("Draw\n"); exit(0); } cycle(v); } vis[u] = 1; } int main() { int n, m; scanf("%d %d", &n, &m); int i, j; for (i = 1; i <= n; i++) { int c; scanf("%d", &c); for (j = 1; j <= c; j++) { int v; scanf("%d", &v); g[i].push_back(v); } } int s; scanf("%d", &s); dfs(s, 0, 0); cycle(s); printf("Lose\n"); return 0; }
#include <bits/stdc++.h> using namespace std; long long n, m, r[200005][3], col[200005]; set<long long> g[200005], gr[200005]; bool can[200005][3]; bool used[200005], t; pair<long long, long long> p[200005][3]; void isCycle(int v) { col[v] = 1; for (long long x : g[v]) { if (col[x] == 1) { t = true; } else if (col[x] == 0) { isCycle(x); } } col[v] = 2; } int main() { cin >> n >> m; for (int i = 1; i <= n; ++i) { int k; cin >> k; p[i][0] = p[i][1] = make_pair(-1, -1); r[i][0] = r[i][1] = 1e9; for (int j = 0; j < k; ++j) { int a; cin >> a; g[i].insert(a); gr[a].insert(i); } } int s; cin >> s; queue<pair<long long, long long> > q; for (int i = 1; i <= n; ++i) { can[i][0] = can[i][1] = false; } for (int i = 1; i <= n; ++i) { if ((int)g[i].size() == 0) { q.push(make_pair(i, 0)); can[i][0] = true; r[i][0] = 0; } } while (!q.empty()) { pair<long long, long long> v = q.front(); q.pop(); for (long long x : gr[v.first]) { if (!can[x][v.second ^ 1]) { can[x][v.second ^ 1] = true; r[x][v.second ^ 1] = r[v.first][v.second] + 1; p[x][v.second ^ 1] = make_pair(v.first, v.second); q.push(make_pair(x, v.second ^ 1)); } else if (r[v.first][v.second] + 1 < r[x][v.second ^ 1]) { r[x][v.second ^ 1] = r[v.first][v.second] + 1; p[x][v.second ^ 1] = make_pair(v.first, v.second); q.push(make_pair(x, v.second ^ 1)); } } } if (!can[s][1]) { for (int i = 1; i <= n; ++i) { col[i] = 0; } t = false; isCycle(s); if (t) { cout << "Draw" << endl; return 0; } else { cout << "Lose" << endl; return 0; } } else { for (int i = 1; i <= n; ++i) { used[i] = false; } vector<int> ans; pair<long long, long long> cur = make_pair(s, 1); while (cur.first != -1) { ans.push_back(cur.first); cur = p[cur.first][cur.second]; } if ((int)ans.size() > 1000000) { cout << "Draw" << endl; return 0; } cout << "Win" << endl; for (int i = 0; i < (int)ans.size(); ++i) { cout << ans[i] << ' '; } cout << endl; return 0; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e5 + 10; vector<int> G[MAXN], path; int n, m, ans, s; bool draw, vis[MAXN][2]; bool ins[MAXN]; void dfs(int u, int step, int who) { ins[u] = vis[u][who] = 1; path.push_back(u); if (G[u].empty()) { if ((step & 1) && who) { cout << "Win\n"; for (auto x : path) { cout << x << ' '; } exit(0); } } for (auto v : G[u]) { if (ins[v]) { draw = 1; } if (vis[v][who ^ 1]) { continue; } dfs(v, step + 1, who ^ 1); } ins[u] = 0; path.pop_back(); } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n >> m; for (int c, x, i = 1; i <= n; ++i) { cin >> c; for (int j = 0; j < c; ++j) { cin >> x; G[i].push_back(x); } } cin >> s; dfs(s, 0, 0); if (draw) { cout << "Draw\n"; } else { cout << "Lose\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100000; vector<int> r[N + 1], r2[N + 1]; bool no_outdeg[N + 1]; int start_v; bool cycle_visited[N + 1], cycle_dead[N + 1]; bool visited[N + 1][2]; stack<int> paths; bool cycle_dfs(int); void dfs(int, bool); int main() { int n; scanf("%d%*d", &n); for (int u = 1; u <= n; ++u) { int m; scanf("%d", &m); no_outdeg[u] = (m == 0); while (m--) { int v; scanf("%d", &v); r[u].push_back(v); r2[v].push_back(u); } } scanf("%d", &start_v); bool lose = !cycle_dfs(start_v); for (int u = 1; u <= n; ++u) { if (no_outdeg[u]) { dfs(u, false); } } printf("%s\n", lose ? "Lose" : "Draw"); exit(EXIT_SUCCESS); } bool cycle_dfs(int u) { if (cycle_dead[u]) { return false; } if (cycle_visited[u]) { return true; } cycle_visited[u] = true; for (int v : r[u]) { if (cycle_dfs(v)) { return true; } } cycle_visited[u] = false; cycle_dead[u] = true; return false; } void dfs(int u, bool is_win) { if (visited[u][is_win]) { return; } visited[u][is_win] = true; paths.push(u); if (u == start_v && is_win) { printf("Win\n"); while (!paths.empty()) { printf("%d ", paths.top()); paths.pop(); } printf("\n"); exit(EXIT_SUCCESS); } for (int v : r2[u]) { dfs(v, !is_win); } paths.pop(); }
#include <bits/stdc++.h> using namespace std; const int N = 300005; struct edge { int to, next; } e[N << 1]; int h[N], xb, dfn[N], low[N], n, m, i, j, x, y, w, stx[N], sty[N], ste[N]; vector<int> ans; bool b[N], cant[N]; inline void addedge(int x, int y) { e[++xb] = (edge){y, h[x]}; h[x] = xb; e[++xb] = (edge){x, h[y]}; h[y] = xb; } void dfs(int x, int fa) { dfn[x] = low[x] = ++xb; int i = h[x], j; for (; i; i = e[i].next) if (e[i].to != fa) { if (!dfn[e[i].to]) { stx[++w] = x, sty[w] = e[i].to; ste[w] = i; dfs(e[i].to, x); if (low[e[i].to] < low[x]) low[x] = low[e[i].to]; if (low[e[i].to] >= dfn[x]) { int cnt = 0, ow = w; for (; stx[w] != x || sty[w] != e[i].to; --w) { if (!b[stx[w]]) ++cnt, b[stx[w]] = 1; if (!b[sty[w]]) ++cnt, b[sty[w]] = 1; } if (!b[stx[w]]) ++cnt, b[stx[w]] = 1; if (!b[sty[w]]) ++cnt, b[sty[w]] = 1; if (ow - w + 1 > cnt || cnt == 2) { for (j = w; j <= ow; ++j) cant[ste[j] >> 1] = 1; } for (j = w; j <= ow; ++j) b[stx[j]] = b[sty[j]] = 0; --w; } } else { if (dfn[e[i].to] < dfn[x]) stx[++w] = x, sty[w] = e[i].to, ste[w] = i; if (dfn[e[i].to] < low[x]) low[x] = dfn[e[i].to]; } } } int main() { cin >> n >> m; xb = 1; for (i = 1; i <= m; ++i) { cin >> x >> y; addedge(x, y); } xb = 0; for (i = 1; i <= n; ++i) if (!dfn[i]) dfs(i, 0); for (i = 1; i <= m; ++i) if (!cant[i]) ans.push_back(i); cout << ans.size() << '\n'; for (i = 0; i < int(ans.size()); ++i) cout << ans[i] << ' '; return 0; }
#include <bits/stdc++.h> using namespace std; const double g = 10.0, eps = 1e-12; const int N = 100000 + 10, maxn = 200000 + 10, inf = 0x3f3f3f3f, INF = 0x3f3f3f3f3f3f3f3f; vector<pair<int, int> > v[N]; int dfn[N], low[N]; int ind, iscut[N], n, m; vector<int> ans; struct edge { int u, v, id; }; stack<edge> s; int bcccnt, bccno[N], ed[N]; vector<int> bcc[N], bb[N]; void tarjan(int u, int f) { dfn[u] = low[u] = ++ind; int ch = 0; for (int i = 0; i < v[u].size(); i++) { int x = v[u][i].first; if (x == f) continue; edge e = {u, x, v[u][i].second}; if (!dfn[x]) { s.push(e); ch++; tarjan(x, u); low[u] = min(low[u], low[x]); if (low[x] >= dfn[u]) { iscut[u] = 1; bcccnt++; bcc[bcccnt].clear(); while (1) { edge now = s.top(); s.pop(); ed[bcccnt]++; bb[bcccnt].push_back(now.id); if (bccno[now.u] != bcccnt) { bcc[bcccnt].push_back(now.u); bccno[now.u] = bcccnt; } if (bccno[now.v] != bcccnt) { bcc[bcccnt].push_back(now.v); bccno[now.v] = bcccnt; } if (now.u == u && now.v == x) break; } } } else if (dfn[x] < dfn[u]) { s.push(e); low[u] = min(low[u], dfn[x]); } } if (f < 0 && ch == 1) iscut[u] = 0; } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int a, b; scanf("%d%d", &a, &b); v[a].push_back(make_pair(b, i)), v[b].push_back(make_pair(a, i)); } ind = 0; for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, -1); memset(dfn, 0, sizeof dfn); for (int i = 1; i <= bcccnt; i++) { if (ed[i] == bcc[i].size() && ed[i]) { for (int j = 0; j < bb[i].size(); j++) ans.push_back(bb[i][j]); } } sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) printf("%d ", ans[i]); puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 100; int first[maxn], des[maxn * 2], nxt[maxn * 2], tot; int cnt_n[maxn], cnt_e[maxn], bcc_no[maxn], bcc_cnt; int dfn[maxn], low[maxn], dfs_clock; int st[maxn * 2], top; vector<int> ans; vector<int> temp; int m, n; inline void addEdge(int x, int y) { tot++; des[tot] = y; nxt[tot] = first[x]; first[x] = tot; } void input() { cin >> n >> m; for (int i = 0; i < m; i++) { int u, v; scanf("%d%d", &u, &v); addEdge(u, v); addEdge(v, u); } } void dfs(int u, int fa, int Eid) { dfn[u] = low[u] = ++dfs_clock; for (int t = first[u]; t; t = nxt[t]) { int v = des[t]; if (v == fa) continue; if (!dfn[v]) { st[top++] = t; dfs(v, u, t); low[u] = min(low[u], low[v]); if (low[v] == dfn[u]) { bool ok = true; bcc_cnt++; temp.clear(); while (true) { int tt = st[--top]; temp.push_back((tt + 1) / 2); if (bcc_no[des[tt]] != bcc_cnt) { bcc_no[des[tt]] = bcc_cnt; } else { ok = false; } if (tt == t) { break; } } if (ok) { for (int i = 0; i < temp.size(); i++) { ans.push_back(temp[i]); } } } } else if (dfn[v] < dfn[u]) { st[top++] = t; low[u] = min(low[u], dfn[v]); } } if (st[top - 1] == Eid) top--; } void solve() { for (int i = 1; i <= n; i++) { if (!dfn[i]) dfs(i, -1, -1); } sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (int i = 0; i < ans.size(); i++) { printf("%d ", ans[i]); } } int main() { input(); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; const int inf_ = 0x7fffffff; const long long inff = 4557430888798830399ll; const double pi = acos(-1.0); long long mod = 1e9 + 7; map<int, int> id[100005]; struct DCC { DCC() { init(0, 0); } int n, t, h, m, dfn[100005], low[100005], s[100005], e[100005], g[100005]; vector<int>*N, cut, D[100005], F[100005]; bool mark[100005]; void init(int _n, vector<int>* _N) { n = _n; N = _N; t = h = -1; m = 0; memset(dfn, 0, sizeof(dfn)); memset(low, 0, sizeof(low)); memset(mark, 0, sizeof(mark)); cut.clear(); } void dfs(int u, int d, int p) { int sec = 0, son = d > 1, e; dfn[u] = low[u] = d; s[++t] = u; for (auto v : N[u]) { if (!mark[e = id[u][v]]) g[++h] = e, mark[e] = 1; if (!dfn[v]) { dfs(v, d + 1, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { if (++son == 2) cut.push_back(u); m += 1; D[m].clear(); D[m].push_back(u); F[m].clear(); do F[m].push_back(g[h]); while (g[h--] != e); do D[m].push_back(s[t]); while (s[t--] != v); } } else if (v != p || sec++) low[u] = min(low[u], dfn[v]); } } void run() { for (int i = (1); i <= (n); ++i) if (!dfn[i]) dfs(i, 1, 0); gen(); } void gen() { vector<int> z; for (int i = (1); i <= (m); ++i) if (((int)F[i].size()) == ((int)D[i].size()) && ((int)D[i].size()) > 2) for (auto e : F[i]) z.push_back(e); sort((z).begin(), (z).end()); z.erase(unique((z).begin(), (z).end()), z.end()); cout << ((int)z.size()) << endl; for (int i = (0); i < (((int)z.size())); ++i) cout << z[i] << " \n"[i == ((int)z.size()) - 1]; } }; vector<int> N[100005]; DCC t; int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, m, u, v; cin >> n >> m; for (int i = (1); i <= (m); ++i) { cin >> u >> v; N[u].push_back(v); N[v].push_back(u); id[u][v] = id[v][u] = i; } t.init(n, N); t.run(); }
#include <bits/stdc++.h> using namespace std; const int N = 100005; int n, m, cnt = 1, timer = 0, bcc = 0, ans = 0; int h[N], dfn[N], low[N], sz[N]; bool f[N], vis[N]; struct edge { int to, nxt; } e[N << 1]; vector<int> a[N]; stack<int> vst, est; void add(int x, int y) { cnt++; e[cnt].to = y; e[cnt].nxt = h[x]; h[x] = cnt; } void init() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int x, y; scanf("%d%d", &x, &y); add(x, y); add(y, x); } } void tarjan(int u) { dfn[u] = low[u] = ++timer; vst.push(u); for (int i = h[u]; i != 0; i = e[i].nxt) { int v = e[i].to; if (vis[i >> 1]) continue; vis[i >> 1] = 1; est.push(i >> 1); if (dfn[v] == 0) { tarjan(v); low[u] = min(low[u], low[v]); if (low[v] < dfn[u]) continue; ++bcc; while (1) { int mn = vst.top(); vst.pop(); sz[bcc]++; if (mn == v) break; } sz[bcc]++; while (1) { int mn = est.top(); est.pop(); a[bcc].push_back(mn); if (mn == i >> 1) break; } continue; } low[u] = min(low[u], dfn[v]); } } void work() { for (int i = 1; i <= n; i++) dfn[i] = 0; timer = 0; for (int i = 1; i <= n; i++) { if (!dfn[i]) tarjan(i), vst.pop(); } for (int i = 1; i <= bcc; i++) { if (sz[i] != a[i].size()) continue; for (int j = 0; j < sz[i]; j++) f[a[i][j]] = 1, ans++; } printf("%d\n", ans); for (int i = 1; i <= m; i++) { if (f[i]) printf("%d ", i); } printf("\n"); } int main() { init(); work(); return 0; }
#include <bits/stdc++.h> using namespace std; const double g = 10.0, eps = 1e-12; const int N = 100000 + 10, maxn = 200000 + 10, inf = 0x3f3f3f3f, INF = 0x3f3f3f3f3f3f3f3f; vector<pair<int, int> > v[N]; int dfn[N], low[N]; int ind, iscut[N], n, m; vector<int> ans; struct edge { int u, v, id; }; stack<edge> s; int bcccnt, bccno[N], ed[N]; vector<int> bcc[N], bb[N]; void tarjan(int u, int f) { dfn[u] = low[u] = ++ind; int ch = 0; for (int i = 0; i < v[u].size(); i++) { int x = v[u][i].first; if (x == f) continue; edge e = {u, x, v[u][i].second}; if (!dfn[x]) { s.push(e); ch++; tarjan(x, u); low[u] = min(low[u], low[x]); if (low[x] >= dfn[u]) { iscut[u] = 1; bcccnt++; bcc[bcccnt].clear(); while (1) { edge now = s.top(); s.pop(); ed[bcccnt]++; bb[bcccnt].push_back(now.id); if (bccno[now.u] != bcccnt) { bcc[bcccnt].push_back(now.u); bccno[now.u] = bcccnt; } if (bccno[now.v] != bcccnt) { bcc[bcccnt].push_back(now.v); bccno[now.v] = bcccnt; } if (now.u == u && now.v == x) break; } } } else if (dfn[x] < dfn[u]) { s.push(e); low[u] = min(low[u], dfn[x]); } } if (f < 0 && ch == 1) iscut[u] = 0; } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int a, b; scanf("%d%d", &a, &b); v[a].push_back(make_pair(b, i)), v[b].push_back(make_pair(a, i)); } ind = 0; for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, -1); memset(dfn, 0, sizeof dfn); for (int i = 1; i <= bcccnt; i++) { if (bb[i].size() == bcc[i].size() && bb[i].size()) { for (int j = 0; j < bb[i].size(); j++) ans.push_back(bb[i][j]); } } sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) printf("%d ", ans[i]); puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100010; int n, m, x, y, low[N], dfn[N], cnt; int q[N], l, H[N], to[N << 1], nxt[N << 1], tot = 1; int bl[N], scnt; bool vis[N << 1]; int a[N], A[N], ans; void add(int x, int y) { to[++tot] = y; nxt[tot] = H[x]; H[x] = tot; } void dfs(int x, int y) { dfn[x] = low[x] = ++cnt; for (int i = H[x]; i; i = nxt[i]) { if (to[i] == y || vis[i]) continue; vis[i] = vis[i ^ 1] = 1; q[l++] = i; int v = to[i]; if (!dfn[v]) { dfs(v, x); low[x] = min(low[x], low[v]); if (dfn[x] <= low[v]) { int t, num = 0, bnum = 0; ++scnt; do { t = q[--l]; if (bl[to[t]] != scnt) bl[to[t]] = scnt, ++num; if (bl[to[t ^ 1]] != scnt) bl[to[t ^ 1]] = scnt, ++num; a[++bnum] = t; } while (t != i); if (num == bnum) for (int i = 1; i <= bnum; ++i) A[++ans] = a[i]; } } else low[x] = min(low[x], dfn[v]); } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; ++i) { scanf("%d%d", &x, &y); add(x, y); add(y, x); } for (int i = 1; i <= n; ++i) if (!dfn[i]) dfs(i, 0); sort(A + 1, A + ans + 1); printf("%d\n", ans); for (int i = 1; i <= ans; ++i) printf("%d ", A[i] >> 1); }
#include <bits/stdc++.h> const double Pi = 3.14159265; const int M = 1e5 + 10; const int N = 2e5 + 10; const unsigned long long base = 163; const int INF = 0x3f3f3f3f; const int mod = 1e8; const double eps = 1e-9; const double pi = acos(-1); using namespace std; int n, m; int head[M], to[N], nx[N], id[N]; int sta[N], top = 0, sz = 0; vector<int> edge_belong[N]; int mark[N]; int node_belong[N]; int dfn[M], low[M]; int subnet[M], iscut[M]; int bcc_node_size[N]; int tot, step; void add(int u, int v, int ID) { to[tot] = v; nx[tot] = head[u]; id[tot] = ID; head[u] = tot++; } void dfs(int u) { dfn[u] = low[u] = ++step; for (int i = head[u]; ~i; i = nx[i]) { if (mark[i]) continue; mark[i] = mark[i ^ 1] = 1; int v = to[i]; sta[++top] = i; if (dfn[v]) low[u] = min(low[u], dfn[v]); else { dfs(v); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { ++subnet[u]; iscut[u] = 1; ++sz; int now; do { now = sta[top--]; edge_belong[sz].push_back(id[now]); if (node_belong[to[now]] != sz) { node_belong[to[now]] = sz; bcc_node_size[sz] += 1; } if (node_belong[to[now ^ 1]] != sz) { node_belong[to[now ^ 1]] = sz; bcc_node_size[sz] += 1; } } while (now != i); } } } } void tarjan() { for (int i = 1; i <= n; ++i) { if (!dfn[i]) { dfs(i); if (subnet[i] < 2) iscut[i] = 0; } } } void init(int n) { memset(head, -1, sizeof(head)); memset(mark, 0, sizeof(mark)); tot = step = top = sz = 0; } int main() { scanf("%d%d", &n, &m); init(n); for (int i = 1; i <= m; ++i) { int u, v; scanf("%d%d", &u, &v); add(u, v, i); add(v, u, i); } tarjan(); vector<int> ans; for (int i = 1; i <= sz; ++i) { if (edge_belong[i].size() == bcc_node_size[i]) { for (auto u : edge_belong[i]) ans.push_back(u); } } sort(ans.begin(), ans.end()); printf("%d\n", (int)ans.size()); for (auto p : ans) printf("%d ", p); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; struct graph { int n, m; int v[N][2]; vector<int> e[N]; int depth[N]; int pa[N][20], pe[N]; int f[N]; int ans[N]; int in_tree[N], sub[N]; int LCA(int x, int y) { if (depth[x] < depth[y]) swap(x, y); for (int i = 0, val = depth[x] - depth[y]; val; i++, val >>= 1) if (val & 1) x = pa[x][i]; if (x == y) return x; for (int i = int(log2(depth[x])); i >= 0; i--) if (pa[x][i] != pa[y][i]) x = pa[x][i], y = pa[y][i]; return pa[x][0]; } void prepare() { cin >> n >> m; for (int i = 1; i <= m; i++) { int x, y; cin >> x >> y; v[i][0] = x; v[i][1] = y; e[x].push_back(i); e[y].push_back(i); } } int q[N]; void BFS(int st) { static int top = 1, bot = 0; q[++bot] = st; pa[st][0] = 0; depth[st] = 1; while (top <= bot) { int x = q[top++]; for (auto i : e[x]) { int y = v[i][0] + v[i][1] - x; if (depth[y]) continue; pa[y][0] = x; pe[y] = i; depth[y] = depth[x] + 1; q[++bot] = y; } } } void answer() { prepare(); for (int i = 1; i <= n; i++) if (!depth[i]) BFS(i); for (int j = 1; j < 20; j++) for (int i = 1; i <= n; i++) pa[i][j] = pa[pa[i][j - 1]][j - 1]; for (int i = 1; i <= n; i++) in_tree[pe[i]] = 1; for (int i = 1; i <= m; i++) if (!in_tree[i]) { sub[v[i][0]]++; sub[v[i][1]]++; sub[LCA(v[i][0], v[i][1])] -= 2; } for (int i = n; i >= 1; i--) { int x = q[i]; sub[pa[x][0]] += sub[x]; } for (int i = 1; i <= n; i++) { int x = q[i]; f[x] = f[pa[x][0]]; if (sub[x] == 1) f[x]++; else f[x] = 0; } for (int i = 1; i <= m; i++) if (!in_tree[i]) { int z = LCA(v[i][0], v[i][1]); if (f[v[i][0]] < depth[v[i][0]] - depth[z]) continue; if (f[v[i][1]] < depth[v[i][1]] - depth[z]) continue; ans[i] = 1; } memset(sub, 0, sizeof(sub)); for (int i = 1; i <= m; i++) if (ans[i]) { sub[v[i][0]]++; sub[v[i][1]]++; sub[LCA(v[i][0], v[i][1])] -= 2; } for (int i = n; i >= 1; i--) { int x = q[i]; if (sub[x] == 1) ans[pe[x]] = 1; sub[pa[x][0]] += sub[x]; } int nans = count(ans + 1, ans + m + 1, 1); cout << nans << '\n'; for (int i = 1; i <= m; i++) if (ans[i]) cout << i << " "; } } mgr; int main() { mgr.answer(); }
#include <bits/stdc++.h> using namespace std; const int N = 100010; int k, n, m, x, y; int low[N], dfn[N], tc; int st[N], top; int h[N], t[N << 1], nx[N << 1], num = 1; int vis[N], cur; bool b[N << 1]; int a[N], A[N], ncnt; void Add(int x, int y) { t[++num] = y; nx[num] = h[x]; h[x] = num; } void Dfs(int x, int y) { dfn[x] = low[x] = ++tc; for (int i = h[x]; i; i = nx[i]) if (t[i] != y && !b[i]) { b[i] = b[i ^ 1] = 1; st[++top] = i; int v = t[i]; if (!dfn[v]) { Dfs(v, x); low[x] = min(low[x], low[v]); if (dfn[x] <= low[v]) { int cnt = 0, Top = 0; ++cur; while (st[top] != i) { int x = st[top--]; if (vis[t[x]] != cur) vis[t[x]] = cur, ++cnt; if (vis[t[x ^ 1]] != cur) vis[t[x ^ 1]] = cur, ++cnt; a[++Top] = x; } if (vis[t[i]] != cur) vis[t[i]] = cur, ++cnt; if (vis[t[i ^ 1]] != cur) vis[t[i ^ 1]] = cur, ++cnt; a[++Top] = i; --top; if (dfn[x] == low[v] && cnt == Top) { for (int i = 1; i <= Top; i++) A[++ncnt] = a[i]; } } } else low[x] = min(low[x], dfn[v]); } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) scanf("%d%d", &x, &y), Add(x, y), Add(y, x); for (int i = 1; i <= n; i++) if (!dfn[i]) Dfs(i, 0); cout << ncnt << endl; sort(A + 1, A + ncnt + 1); for (int i = 1; i <= ncnt; i++) printf("%d ", A[i] >> 1); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 200005; struct Edge { int u, v; Edge(int uu, int vv) { u = uu; v = vv; } }; stack<Edge> s; struct edge { int v, next; } edges[maxn]; int n, m; int e, head[maxn]; int pre[maxn]; int dfs_clock; int iscut[maxn]; int bcc_cnt; int bccno[maxn]; vector<int> bcc[maxn]; vector<int> ecnt[maxn]; map<pair<int, int>, int> f; void addedges(int u, int v, int no) { if (u > v) swap(u, v); f[{u, v}] = no; edges[e].v = v; edges[e].next = head[u]; head[u] = e++; edges[e].v = u; edges[e].next = head[v]; head[v] = e++; } int dfs(int u, int fa) { int lowu = pre[u] = ++dfs_clock; int child = 0; for (int i = head[u]; i != -1; i = edges[i].next) { int v = edges[i].v; Edge e = (Edge){u, v}; if (!pre[v]) { s.push(e); child++; int lowv = dfs(v, u); lowu = min(lowu, lowv); if (lowv >= pre[u]) { iscut[u] = 1; bcc_cnt++; bcc[bcc_cnt].clear(); for (;;) { Edge x = s.top(); s.pop(); ecnt[bcc_cnt].push_back(f[{min(x.u, x.v), max(x.u, x.v)}]); if (bccno[x.u] != bcc_cnt) { bcc[bcc_cnt].push_back(x.u); bccno[x.u] = bcc_cnt; } if (bccno[x.v] != bcc_cnt) { bcc[bcc_cnt].push_back(x.v); bccno[x.v] = bcc_cnt; } if (x.u == u && x.v == v) break; } } } else if (pre[v] < pre[u] && v != fa) { s.push(e); lowu = min(lowu, pre[v]); } } if (fa < 0 && child == 1) iscut[u] = 0; return lowu; } void init() { memset(pre, 0, sizeof(pre)); memset(iscut, 0, sizeof(iscut)); memset(head, -1, sizeof(head)); memset(bccno, 0, sizeof(bccno)); e = 0; dfs_clock = 0; bcc_cnt = 0; } pair<int, int> E[maxn]; int num[300005]; vector<int> cnt[maxn]; int main() { int u, v; scanf("%d%d", &n, &m); init(); for (int i = 0; i < m; i++) { scanf("%d%d", &u, &v); addedges(u, v, i + 1); } for (int i = 1; i <= n; i++) if (!pre[i]) dfs(i, -1); vector<int> ans; for (int i = 1; i <= bcc_cnt; i++) { if (bcc[i].size() == ecnt[i].size()) { for (int j = 0; j < ecnt[i].size(); j++) ans.push_back(ecnt[i][j]); } } sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) printf("%d ", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; pair<int, int> edg[100100]; vector<int> lis[100100]; bool visit[100100]; bool tre[100100]; int dep[100100]; int val[100100]; int par[100100]; int pi[100100]; int sps[100100][20]; int pps[100100][20]; int dfs(int here, int p) { dep[here] = ((~p) ? dep[p] + 1 : 0); visit[here] = 1; par[here] = p; for (int &vi : lis[here]) { int there = edg[vi].first + edg[vi].second - here; if (!visit[there]) { tre[vi] = 1; pi[there] = vi; val[here] += dfs(there, here); } else { if (there == p) ; else if (dep[there] > dep[here]) { val[here]--; } else val[here]++; } } sps[here][0] = val[here]; pps[here][0] = p; return val[here]; } vector<int> vec; int main() { int i; scanf("%d%d", &n, &m); for (i = 0; i < m; i++) { int a, b; scanf("%d%d", &a, &b); a--; b--; lis[a].push_back(i); lis[b].push_back(i); edg[i] = pair<int, int>(a, b); } for (i = 0; i < n; i++) { if (!visit[i]) dfs(i, -1); } int j; for (j = 1; j < 20; j++) { for (i = 0; i < n; i++) { pps[i][j] = ((~pps[i][j - 1]) ? pps[pps[i][j - 1]][j - 1] : -1); } for (i = 0; i < n; i++) { sps[i][j] = max(sps[i][j - 1], ((~pps[i][j - 1]) ? sps[pps[i][j - 1]][j - 1] : 0)); } } for (i = 0; i < m; i++) { if (tre[i]) continue; int a = edg[i].first, b = edg[i].second; if (dep[a] > dep[b]) swap(a, b); int t = dep[b] - dep[a], maxi = 0, cur = b; for (j = 0; j < 20; j++) { if ((t >> j) & 1) { maxi = max(maxi, sps[cur][j]); cur = pps[cur][j]; } } if (maxi == 1) { cur = b; while (cur != a) { vec.push_back(pi[cur]); cur = par[cur]; } vec.push_back(i); } } sort(vec.begin(), vec.end()); printf("%d\n", vec.size()); for (int &v : vec) { printf("%d ", v + 1); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; const int M = 1e5 + 10; int n, m; int dfs_clock, ecnt; int head[N]; int low[N]; int dfn[N]; int vis[N]; int ans[N]; struct Edge { int to, next, ind; } e[M << 1]; inline void adde(int x, int y, int z) { e[++ecnt].to = y; e[ecnt].next = head[x]; head[x] = ecnt; e[ecnt].ind = z; } stack<int> S, E; void tarjan(int x) { dfn[x] = low[x] = ++dfs_clock; S.push(x); for (int i = head[x]; i; i = e[i].next) { int v = e[i].to; int cur = E.size(); if (!vis[e[i].ind]) { vis[e[i].ind] = 1; E.push(e[i].ind); } if (!dfn[v]) { tarjan(v); low[x] = min(low[v], low[x]); if (low[v] >= dfn[x]) { int sum = 1; int z; do { z = S.top(); S.pop(); sum++; } while (z != v); int ok = (sum == (E.size() - cur)); while (E.size() > cur) { ans[E.top()] = ok; E.pop(); } } } else low[x] = min(low[x], dfn[v]); } return; } int main() { scanf("%d %d", &n, &m); for (int i = 1; i <= m; ++i) { int la, lb; scanf("%d %d", &la, &lb); adde(la, lb, i); adde(lb, la, i); } for (int i = 1; i <= n; ++i) { if (!dfn[i]) { tarjan(i); } } cout << accumulate(ans + 1, ans + 1 + m, 0) << endl; for (int i = 1; i <= m; ++i) { if (ans[i]) cout << i << " "; } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O3") #pragma GCC optimize("Ofast,no-stack-protector") using namespace std; function<void(void)> ____ = []() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); }; template <typename T> vector<T> &operator<<(vector<T> &__container, T x) { __container.push_back(x); return __container; } template <typename T> ostream &operator<<(ostream &out, vector<T> &__container) { for (T _ : __container) out << _ << ' '; return out; } const int MAXN = 2e5 + 7; map<pair<int, int>, int> msk; vector<int> G[MAXN]; stack<pair<int, int> > stk; int dfn[MAXN], low[MAXN], idx; vector<int> vec; void tarjan(int u, int f) { dfn[u] = low[u] = ++idx; for (int v : G[u]) { if (v == f) continue; if (!dfn[v] or dfn[v] < dfn[u]) stk.push(make_pair(min(u, v), max(u, v))); if (!dfn[v]) { tarjan(v, u); ((low[u]) = (low[u]) < (low[v]) ? (low[u]) : (low[v])); if (low[v] > dfn[u]) stk.pop(); else if (low[v] == dfn[u]) { pair<int, int> tp; vector<pair<int, int> > edge; do { tp = stk.top(); stk.pop(); edge << tp; } while (tp != make_pair(min(u, v), max(u, v))); vector<int> point; for (auto &e : edge) point << e.first << e.second; sort(point.begin(), point.end()); point.erase(unique(point.begin(), point.end()), point.end()); if (point.size() == edge.size()) for (auto &e : edge) vec << msk[e]; } } else ((low[u]) = (low[u]) < (dfn[v]) ? (low[u]) : (dfn[v])); } } void solve() { int n, m; scanf("%d", &n); scanf("%d", &m); for (int i = 1; i <= m; i++) { int u, v; scanf("%d", &u); scanf("%d", &v); G[u] << v; G[v] << u; msk[pair<int, int>(min(u, v), max(u, v))] = i; } for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, 0); sort(vec.begin(), vec.end()); cout << vec.size() << "\n" << vec << "\n"; } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 5; vector<int> h[maxn]; int dfn[maxn], low[maxn]; int n, m, k = 0; stack<int> s; int cnt = 0; struct node { int to, nxt, id; } edge[maxn * 2]; int ecnt = 0; int head[maxn]; void add(int from, int to, int id) { edge[ecnt].to = to; edge[ecnt].nxt = head[from]; edge[ecnt].id = id; head[from] = ecnt++; } bool iscut[maxn], mark[maxn]; void tarjan(int u, int fa) { dfn[u] = low[u] = ++k; int child = 0; for (int i = head[u]; i != -1; i = edge[i].nxt) { int v = edge[i].to; if (mark[edge[i].id]) continue; mark[edge[i].id] = 1; s.push(edge[i].id); if (!dfn[v]) { child++; tarjan(v, edge[i].id); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { cnt++; iscut[u] = 1; while (true) { int x = s.top(); s.pop(); h[cnt].push_back(x); if (x == edge[i].id) break; } } } else low[u] = min(low[u], dfn[v]); } if (fa == -1 && child < 2) iscut[u] = 0; } int x[maxn], y[maxn]; set<int> t; int indeg[maxn]; bool check(int id) { t.clear(); for (int i = 0; i < h[id].size(); i++) { int p = h[id][i]; t.insert(x[p]); t.insert(y[p]); } return t.size() == h[id].size(); } int main() { scanf("%d%d", &n, &m); int u, v; for (int i = 1; i <= n; i++) head[i] = -1; for (int i = 1; i <= m; i++) { scanf("%d%d", &u, &v); add(u, v, i); add(v, u, i); x[i] = u; y[i] = v; } for (int i = 1; i <= n; i++) { if (!dfn[i]) tarjan(i, -1); } vector<int> ans; for (int i = 1; i <= cnt; i++) { if (check(i)) { for (int j = 0; j < h[i].size(); j++) ans.push_back(h[i][j]); } } sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) printf("%d ", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; inline char gc() { static char now[1 << 16], *S, *T; if (T == S) { T = (S = now) + fread(now, 1, 1 << 16, stdin); if (T == S) return EOF; } return *S++; } inline int read() { int x = 0, f = 1; char ch = gc(); while (!isdigit(ch)) { if (ch == '-') f = -1; ch = gc(); } while (isdigit(ch)) x = x * 10 + ch - '0', ch = gc(); return x * f; } const int N = 1e5 + 10; struct node { int y, next, id; } data[N << 1]; struct node1 { int x, y, id; } q[N]; int top, n, m, num, ans[N], h[N], dfn[N], low[N], size[N], s, b[N]; vector<int> eg[N]; inline void tarjan(int x, int fa) { dfn[x] = low[x] = ++num; for (int i = h[x]; i; i = data[i].next) { int y = data[i].y; if (y == fa) continue; if (dfn[y] && (dfn[y] < dfn[x])) q[++top] = (node1){x, y, data[i].id}; if (!dfn[y]) { q[++top] = (node1){x, y, data[i].id}; tarjan(y, x); low[x] = min(low[x], low[y]); if (low[y] >= dfn[x]) { ++s; node1 now; while (1) { now = q[top--]; eg[s].push_back(now.id); if (b[now.x] != s) ++size[s], b[now.x] = s; if (b[now.y] != s) ++size[s], b[now.y] = s; if (now.x == x && now.y == y) break; } } } else low[x] = min(low[x], dfn[y]); } } int main() { n = read(); m = read(); for (int i = 1; i <= m; ++i) { int x = read(), y = read(); data[++num].y = y; data[num].next = h[x]; h[x] = num; data[num].id = i; data[++num].y = x; data[num].next = h[y]; h[y] = num; data[num].id = i; } num = 0; for (int i = 1; i <= n; ++i) if (!dfn[i]) tarjan(i, i); top = 0; for (int i = 1; i <= s; ++i) if (eg[i].size() == size[i]) for (int j = 0; j < eg[i].size(); ++j) ans[++top] = eg[i][j]; sort(ans + 1, ans + top + 1); printf("%d\n", top); for (int i = 1; i <= top; ++i) printf("%d ", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; struct Edge { int u, v; Edge() {} Edge(int u, int v) : u(u), v(v) {} }; const int maxn = 100001; int pre[maxn], iscut[maxn], bccno[maxn], dfs_clock, bcc_cnt; vector<pair<int, int> > G[maxn]; vector<int> bcc[maxn]; int edge_cnt[maxn]; stack<Edge> S; int n, m, x[maxn], y[maxn]; int vis[maxn]; int ans, ok[maxn]; int dfs(int u, int fa) { int lowu = pre[u] = ++dfs_clock; int child = 0; for (auto p : G[u]) { int v = p.first; Edge e(u, v); if (!pre[v]) { S.push(e); child++; int lowv = dfs(v, u); lowu = min(lowu, lowv); if (lowv >= pre[u]) { iscut[u] = true; bcc_cnt++; while (1) { Edge x = S.top(); S.pop(); if (bccno[x.u] != bcc_cnt) { bcc[bcc_cnt].push_back(x.u); bccno[x.u] = bcc_cnt; } if (bccno[x.v] != bcc_cnt) { bcc[bcc_cnt].push_back(x.v); bccno[x.v] = bcc_cnt; } if (x.u == u && x.v == v) break; } } } else if (pre[v] < pre[u] && v != fa) { S.push(e); lowu = min(lowu, pre[v]); } } if (fa < 0 && child == 1) iscut[u] = 0; return lowu; } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d%d", &x[i], &y[i]); G[x[i]].emplace_back(y[i], i); G[y[i]].emplace_back(x[i], i); } for (int i = 1; i <= n; i++) { if (!bccno[i]) dfs(i, -1); } vector<int> edges; for (int i = 1; i <= bcc_cnt; i++) { for (auto x : bcc[i]) bccno[x] = i; edges.clear(); for (auto x : bcc[i]) { for (auto y : G[x]) { if (bccno[y.first] == i) { edges.push_back(y.second); } } } if (edges.size() == bcc[i].size() * 2) { for (auto x : edges) ok[x] = 1; } } for (int i = 1; i <= m; i++) ans += ok[i]; printf("%d\n", ans); for (int i = 1; i <= m; i++) if (ok[i]) printf("%d ", i); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; struct mzls { int from, to; } e[100005]; vector<pair<int, int> > g[100005]; int dfn[100005], f[100005], dd[100005], ncnt, pt[100005]; int chs[100005], lnk[100005]; vector<int> t[100005], ans; inline void dfs(int x, int fa) { dfn[x] = ++ncnt; pt[x] = fa; for (int i = 0; i < g[x].size(); i++) { pair<int, int> pr = g[x][i]; if (pr.first == fa) continue; if (!dfn[pr.first]) { t[x].push_back(pr.first); chs[pr.second] = 1; lnk[pr.first] = pr.second; dfs(pr.first, x); } else { if (dfn[pr.first] > dfn[x]) continue; f[x]++, f[pr.first]--; } } } int im[100005]; inline void dfs2(int x) { for (int i = 0; i < t[x].size(); i++) { dfs2(t[x][i]); dd[x] += dd[t[x][i]]; } dd[x] += f[x]; } inline void dfs3(int x) { im[x] = im[pt[x]] + (dd[x] > 1); for (int i = 0; i < t[x].size(); i++) dfs3(t[x][i]); } inline void solve(int x) { if (dfn[e[x].from] < dfn[e[x].to]) swap(e[x].from, e[x].to); int kk = im[e[x].from] - im[e[x].to]; if (kk == 0) { int pla = e[x].from; while (pla != e[x].to) { ans.push_back(lnk[pla]); pla = pt[pla]; } ans.push_back(x); } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d%d", &e[i].from, &e[i].to); g[e[i].from].push_back(make_pair(e[i].to, i)); g[e[i].to].push_back(make_pair(e[i].from, i)); } for (int i = 1; i <= n; i++) if (!dfn[i]) dfs(i, 0), dfs2(i), dfs3(i); for (int i = 1; i <= m; i++) if (!chs[i]) solve(i); sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) printf("%d ", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; long long a, b, c, d, i, e, f, g, n, m, k, l, ans1; long long fix[500005], don[500005], P[25][500005], ans[500005], B[500005], A[500005], edge[500005]; map<pair<long long, long long>, long long> idx; vector<long long> v[500005]; long long get_col(long long x) { if (B[x] == x) return x; B[x] = get_col(B[x]); return B[x]; } void col(long long x, long long y) { B[get_col(x)] = get_col(y); } void gaferadeba(long long x, long long y) { edge[get_col(y)] = idx[{x, P[0][y]}]; x = get_col(x); y = get_col(y); while (x != y) { col(x, y); A[y] += A[x]; x = get_col(P[0][x]); } A[y]++; } long long aweva(long long x, long long simagle) { for (long long i = 20; i >= 0; i--) { if ((1 << i) > simagle) continue; simagle -= (1 << i); x = P[i][x]; } return x; } void dfs(long long x, long long y) { fix[x] = 1; don[x] = don[y] + 1; P[0][x] = y; for (long long i = 1; i <= 20; i++) { P[i][x] = P[i - 1][P[i - 1][x]]; } for (long long i = 0; i < v[x].size(); i++) { if (v[x][i] == y) continue; if (fix[v[x][i]] == 0) dfs(v[x][i], x); } } void dfs1(long long x, long long y) { fix[x] = 1; for (long long i = 0; i < v[x].size(); i++) { if (v[x][i] == y) continue; if (fix[v[x][i]] == 0) dfs1(v[x][i], x); else { if (don[x] > don[v[x][i]]) { gaferadeba(x, aweva(x, don[x] - don[v[x][i]] - 1)); } } } } int main() { cin >> n >> m; for (long long i = 1; i <= n; i++) B[i] = i; for (long long i = 1; i <= m; i++) { cin >> a >> b; v[a].push_back(b); v[b].push_back(a); idx[{a, b}] = i; idx[{b, a}] = i; } for (long long i = 1; i <= n; i++) if (fix[i] == 0) dfs(i, 0); for (long long i = 1; i <= n; i++) fix[i] = 0; for (long long i = 1; i <= n; i++) if (fix[i] == 0) dfs1(i, 0); for (long long i = 1; i <= n; i++) { a = get_col(i); if (A[a] == 1) { ans[idx[{i, P[0][i]}]] = 1; ans[edge[a]] = 1; } } for (long long i = 1; i <= m; i++) if (ans[i] == 1) ans1++; cout << ans1 << endl; for (long long i = 1; i <= m; i++) if (ans[i] == 1) cout << i << " "; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 2e5 + 5; int head[MAXN], tot; int DFN[MAXN], LOW[MAXN], cut[MAXN]; int bcc_num, bel_bcc[MAXN], bcc[MAXN], cnt; struct node { int to, next, id; } e[MAXN * 3]; struct edge { int x, y; }; stack<pair<edge, int> > s; vector<int> ans[MAXN]; void add(int x, int y, int id) { e[tot].next = head[x]; e[tot].to = y; e[tot].id = id; head[x] = tot++; } void tarjan(int u, int fa) { DFN[u] = LOW[u] = ++cnt; int child = 0; for (int i = head[u]; i != -1; i = e[i].next) { int temp = e[i].to; edge E; E.x = u, E.y = temp; if (!DFN[temp]) { s.push(make_pair(E, e[i].id)); child++; tarjan(temp, u); LOW[u] = min(LOW[u], LOW[temp]); if (LOW[temp] >= DFN[u]) { cut[u] = 1; bcc_num++; edge t; int sum = 0; while (1) { t = s.top().first; int id = s.top().second; s.pop(); if (bel_bcc[t.x] != bcc_num) sum++, bel_bcc[t.x] = bcc_num; if (bel_bcc[t.y] != bcc_num) sum++, bel_bcc[t.y] = bcc_num; ans[bcc_num].push_back(id); if (t.x == u && t.y == temp) break; } bcc[bcc_num] = sum; } } else if (DFN[temp] < DFN[u] && temp != fa) { s.push(make_pair(E, e[i].id)); LOW[u] = min(LOW[u], DFN[temp]); } } if (fa == -1 && child == 1) cut[u] = 0; } int main() { int n, m; scanf("%d%d", &n, &m); memset(head, -1, sizeof(head)); for (int i = 1; i <= m; i++) { int x, y; scanf("%d%d", &x, &y); add(x, y, i); add(y, x, i); } for (int i = 1; i <= n; i++) { if (!DFN[i]) tarjan(i, -1); } vector<int> o; for (int i = 1; i <= bcc_num; i++) { if (bcc[i] == ans[i].size()) { for (int j = 0; j < ans[i].size(); j++) o.push_back(ans[i][j]); } } sort(o.begin(), o.end()); printf("%d\n", o.size()); for (int i = 0; i < o.size(); i++) printf("%d%c", o[i], i == o.size() - 1 ? '\n' : ' '); return 0; }
#include <bits/stdc++.h> using namespace std; const int MN = 100010; int N, M; vector<int> adj[MN], U, V; int tin[MN], bck[MN], id[MN], timer, bcnt; stack<int> stk; void dfs(int u, int fe, bool root) { tin[u] = timer++; bck[u] = tin[u]; for (int i = 0; i < adj[u].size(); i++) { int e = adj[u][i]; int v = U[e] + V[e] - u; if (tin[v] == -1) { stk.push(e); dfs(v, e, false); bck[u] = min(bck[u], bck[v]); if (bck[v] >= tin[u]) { while (1) { int t = stk.top(); stk.pop(); id[t] = bcnt; if (t == e) break; } bcnt++; } } else if (tin[v] < tin[u]) { if (e != fe) stk.push(e); bck[u] = min(bck[u], tin[v]); } } } vector<int> C[MN], X, sol; int main() { scanf("%d %d", &N, &M); for (int i = 0; i < M; i++) { int u, v; scanf("%d %d", &u, &v); u--; v--; adj[u].push_back(i); adj[v].push_back(i); U.push_back(u); V.push_back(v); } memset(tin, -1, sizeof(tin)); for (int i = 0; i < N; i++) if (tin[i] == -1) { dfs(i, -1, true); } for (int i = 0; i < M; i++) { C[id[i]].push_back(i); } int ans = 0; for (int i = 0; i < bcnt; i++) { X.clear(); for (int j = 0; j < C[i].size(); j++) { X.push_back(U[C[i][j]]); X.push_back(V[C[i][j]]); } sort(X.begin(), X.end()); X.resize(unique(X.begin(), X.end()) - X.begin()); if (X.size() == C[i].size()) { for (int j = 0; j < C[i].size(); j++) sol.push_back(C[i][j]); } } sort(sol.begin(), sol.end()); printf("%d\n", sol.size()); for (int i = 0; i < sol.size(); i++) { printf("%d ", sol[i] + 1); } }
#include <bits/stdc++.h> using namespace std; const int N = 3e5 + 6; int n, m, num[100005], ncyc = 0, cycIn[100005], result[100005], cnt = 0; int dd[N], head[N]; vector<pair<int, int> > a[100005]; set<int> In[100005]; int re(int h, int k) { if (h == 0) return k; if (k == 0) return h; dd[h] = 1, dd[k] = 1; return (head[h] < head[k] ? h : k); } int dfs(int h, int id) { int n = a[h].size() - 1, x, res = 0; for (int i = 0; i <= n; ++i) { if (num[a[h][i].first] >= num[h] - 1) continue; if (!num[a[h][i].first]) { num[a[h][i].first] = num[h] + 1; x = dfs(a[h][i].first, a[h][i].second); if (!In[h].count(x)) res = re(res, x); } else { head[++ncyc] = num[a[h][i].first]; cycIn[a[h][i].second] = ncyc; In[a[h][i].first].insert(ncyc); res = re(res, ncyc); } } return (cycIn[id] = res); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> m; int x, y; for (int i = 1; i <= m; ++i) { cin >> x >> y; a[x].push_back(make_pair(y, i)); a[y].push_back(make_pair(x, i)); } for (int i = 1; i <= n; ++i) { if (!num[i]) num[i] = 2, dfs(i, 0); } for (int i = 1; i <= m; ++i) { if (cycIn[i] && !dd[cycIn[i]]) result[++cnt] = i; } cout << cnt << '\n'; for (int i = 1; i <= cnt; ++i) cout << result[i] << ' '; }
#include <bits/stdc++.h> using namespace std; int head[100005], v[100005 * 2], suc[100005 * 2], en = 1; void addedge(int iu, int iv) { en++; v[en] = iv; suc[en] = head[iu]; head[iu] = en; } int pre[100005], iscut[100005], bccno[100005], dfs_clk, bcc_cnt; int st[100005], ts; vector<int> bcc[100005]; int num[100005]; int dfs(int s, int fa) { int lows = pre[s] = ++dfs_clk; int ch = 0; for (int i = head[s]; i; i = suc[i]) { if (!pre[v[i]]) { st[++ts] = i; ch++; int lowv = dfs(v[i], s); lows = min(lows, lowv); if (lowv >= pre[s]) { iscut[s] = 1; bcc_cnt++; bcc[bcc_cnt].clear(); while (1) { int x = st[ts--]; for (int y = 0; y <= 1; y++) if (bccno[v[x ^ y]] != bcc_cnt) { bccno[v[x ^ y]] = bcc_cnt; num[bcc_cnt]++; } bcc[bcc_cnt].push_back(x >> 1); if (x == i) break; } } } else if (pre[v[i]] < pre[s] && v[i] != fa) { st[++ts] = i; lows = min(lows, pre[v[i]]); } } if (fa < 0 && ch == 1) iscut[s] = 0; return lows; } int ans[100005], ans_cnt; int main() { int i, j, k; int n, m, iv, iu; scanf("%d%d", &n, &m); for (i = 1; i <= m; i++) { scanf("%d%d", &iu, &iv); addedge(iu, iv); addedge(iv, iu); } for (i = 1; i <= n; i++) if (!pre[i]) dfs(i, -1); for (i = 1; i <= bcc_cnt; i++) if (bcc[i].size() == num[i]) for (j = 0; j < bcc[i].size(); j++) ans[++ans_cnt] = bcc[i][j]; sort(ans + 1, ans + ans_cnt + 1); printf("%d\n", ans_cnt); for (i = 1; i <= ans_cnt; i++) printf("%d ", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; int const N = 100000; vector<pair<int, int> > g[N + 1]; vector<int> an; int dp[N + 1], mndp[N + 1]; int vis[N + 1]; int V; void ad(int v, int p = V) { if (v == V) return; for (int i = 0; i < (int)(g[v].size()); ++i) { int u = g[v][i].first; if (u == p || (mndp[u] != dp[V] && u != V)) continue; an.push_back(g[v][i].second); ad(u, v); return; } } bool go(int v, int p = 0) { vis[v] = 1; mndp[v] = dp[v] = dp[p] + 1; bool good = true; int cy = 0; for (int i = 0; i < (int)(g[v].size()); ++i) { int u = g[v][i].first; if (u == p) continue; if (vis[u] == 2) { if (mndp[u] < dp[v]) good = false; continue; } if (vis[u] == 0) { bool t = go(u, v); if (t && mndp[u] == dp[v]) { an.push_back(g[v][i].second); V = v; ad(u); } else if (mndp[u] < dp[v]) good &= t; mndp[v] = min(mndp[v], mndp[u]); } if (mndp[u] < dp[v]) ++cy; if (vis[u] == 1) mndp[v] = min(mndp[v], dp[u]); } good &= cy <= 1; vis[v] = 2; return good; } int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 1; i < (int)(m + 1); ++i) { int a, b; scanf("%d%d", &a, &b); g[a].push_back(make_pair(b, i)); g[b].push_back(make_pair(a, i)); } for (int i = 1; i < (int)(n + 1); ++i) if (!vis[i]) go(i); sort(an.begin(), an.end()); printf("%d\n", (int)an.size()); for (int i = 0; i < (int)(an.size()); ++i) { if (i) printf(" "); printf("%d", an[i]); } printf("\n"); }
#include <bits/stdc++.h> using namespace std; struct edge1 { long long to, num; }; struct edge2 { long long v1, v2; }; vector<edge1> a[100009]; vector<edge2> edges; vector<long long> res, nums; set<long long> vertex, point; stack<long long> s; long long i, j, k, l, n, m, timer; long long tin[100009], tmin[100009], vis[100009]; void draw(long long edge) { vertex.clear(); nums.clear(); while (!s.empty()) { vertex.insert(edges[s.top()].v1); vertex.insert(edges[s.top()].v2); nums.push_back(s.top()); if (s.top() == edge) { s.pop(); break; } s.pop(); } if (nums.size() == vertex.size()) { for (auto i : nums) res.push_back(i); } } void dfs(long long v, long long parent) { vis[v] = 1; tin[v] = tmin[v] = ++timer; long long to, edge, child = 0; for (auto i : a[v]) { to = i.to; edge = i.num; if (to == parent) continue; if (vis[to] == 0) { s.push(edge); dfs(to, v); child++; tmin[v] = min(tmin[v], tmin[to]); if (tmin[to] >= tin[v]) { draw(edge); } } else { tmin[v] = min(tmin[v], tin[to]); if (tin[to] < tin[v]) { s.push(edge); } } } } int main() { cin >> n >> m; for (i = 1; i <= m; i++) { cin >> k >> l; a[k].push_back({l, i - 1}); a[l].push_back({k, i - 1}); edges.push_back({k, l}); } for (i = 1; i <= n; i++) { if (vis[i] == 0) { dfs(i, -1); draw(-1); } } sort(res.begin(), res.end()); cout << res.size() << endl; for (auto i : res) { cout << i + 1 << ' '; } cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int limite = 1000000; int n, m; vector<pair<int, int> > g[limite], gini[limite]; int visto[limite]; vector<int> sol; int profant[limite]; int profundidad[limite]; vector<pair<int, int> > a[limite]; void eliminapadre(int u, int p, int prof) { visto[u] = 1; profundidad[u] = prof; vector<pair<int, int> > &ar = g[u]; vector<pair<int, int> > nextar; for (int i = 0; i < int(ar.size()); i++) { int v = ar[i].first; if (v != p) nextar.push_back(ar[i]); if (not visto[v]) { a[u].push_back(ar[i]); eliminapadre(v, u, prof + 1); } } ar = nextar; } void computacomponente(int u, vector<int> &c) { if (visto[u]) return; visto[u] = 1; c.push_back(u); vector<pair<int, int> > &ar = a[u]; for (int i = 0; i < int(ar.size()); i++) computacomponente(ar[i].first, c); } int tiempo = 0; int numcomp[limite]; void computa(int uini, vector<int> lista) { tiempo++; int n = int(lista.size()); vector<int> act; for (int i = 0; i < int(lista.size()); i++) numcomp[lista[i]] = tiempo; for (int i = 0; i < int(lista.size()); i++) { int u = lista[i]; if (u == uini) continue; vector<pair<int, int> > &ar = gini[u]; for (int j = 0; j < int(ar.size()); j++) { int v = ar[j].first; if (numcomp[v] == tiempo and (v == uini or u < v)) act.push_back(ar[j].second); } } if (int(act.size()) == n) { for (int i = 0; i < int(act.size()); i++) sol.push_back(act[i]); } } void calcula(int u) { profant[u] = profundidad[u]; { vector<pair<int, int> > &ar = a[u]; for (int i = 0; i < int(ar.size()); i++) { int v = ar[i].first; calcula(v); profant[u] = min(profant[u], profant[v]); if (profant[v] == profundidad[u]) { vector<int> c; c.push_back(u); computacomponente(v, c); computa(u, c); } } } { vector<pair<int, int> > &ar = g[u]; for (int i = 0; i < int(ar.size()); i++) { int v = ar[i].first; if (profundidad[v] < profundidad[u]) profant[u] = min(profant[u], profundidad[v]); } } if (profant[u] == profundidad[u]) visto[u] = 1; } int main() { ios::sync_with_stdio(false); cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v; cin >> u >> v; g[u].push_back(pair<int, int>(v, i)); g[v].push_back(pair<int, int>(u, i)); gini[u].push_back(pair<int, int>(v, i)); gini[v].push_back(pair<int, int>(u, i)); } for (int u = 1; u <= n; u++) if (not visto[u]) eliminapadre(u, 0, 0); for (int u = 1; u <= n; u++) visto[u] = 0; for (int u = 1; u <= n; u++) if (not visto[u]) calcula(u); sort(sol.begin(), sol.end()); cout << int(sol.size()) << endl; for (int i = 0; i < int(sol.size()); i++) { if (i > 0) cout << " "; cout << sol[i]; } cout << endl; }
#include <bits/stdc++.h> using namespace std; struct edge { long long from; long long to; long long id; }; vector<pair<long long, long long>> edgeList; vector<long long> res; vector<set<long long>> neighbour; vector<vector<edge>> adjlist; vector<edge> edgeStack; vector<bool> isArt; vector<int> d, low; int counter, rootCount, root; vector<vector<long long>> blocks; void dfs(int v, int parent = -1) { d[v] = low[v] = ++counter; if (parent == root) ++rootCount; for (edge& e : adjlist[v]) { if (e.to != parent && (!d[e.to] || d[e.to] < d[v])) { edgeStack.push_back(e); } if (!d[e.to]) { dfs(e.to, v); low[v] = min(low[v], low[e.to]); if (low[e.to] >= d[v]) { isArt[v] = true; blocks.push_back({}); while (edgeStack.back().to != e.to || edgeStack.back().from != v) { blocks.back().push_back(edgeStack.back().id); edgeStack.pop_back(); } blocks.back().push_back(edgeStack.back().id); edgeStack.pop_back(); } } else if (e.to != parent && d[e.to] < low[v]) { low[v] = min(low[v], d[e.to]); } } } void findArticulationPoints() { counter = 0; low.resize(adjlist.size()); d.assign(adjlist.size(), 0); isArt.assign(adjlist.size(), false); for (int v = 0; v < (int)adjlist.size(); v++) { if (!d[v]) { root = v; rootCount = 0; dfs(v); isArt[v] = rootCount > 1; if (!edgeStack.empty()) { blocks.push_back({}); while (!edgeStack.empty()) { blocks.back().push_back(edgeStack.back().id); edgeStack.pop_back(); } } } } } void checkBlock() { for (long long i = 0; i < blocks.size(); i++) { map<long long, long long> block; for (long long x : blocks[i]) { block[edgeList[x].first]++; block[edgeList[x].second]++; } bool isSimple = true; for (auto x : block) { isSimple &= x.second == 2; } if (isSimple) { for (long long x : blocks[i]) { res.push_back(x); } } } } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); long long n, m; cin >> n >> m; neighbour.resize(n); adjlist.resize(n); edgeList.resize(m); for (long long i = 0; i < m; i++) { cin >> edgeList[i].first >> edgeList[i].second; edgeList[i].first--; edgeList[i].second--; neighbour[edgeList[i].first].insert(edgeList[i].second); adjlist[edgeList[i].first].push_back( {edgeList[i].first, edgeList[i].second, i}); neighbour[edgeList[i].second].insert(edgeList[i].first); adjlist[edgeList[i].second].push_back( {edgeList[i].second, edgeList[i].first, i}); } findArticulationPoints(); checkBlock(); sort(res.begin(), res.end()); cout << res.size() << endl; for (auto x : res) { cout << (x + 1) << " "; } cout << endl; }
#include <bits/stdc++.h> using namespace std; const long long maxn = 5e5 + 50; const long long mod = 1e9 + 7; const long long base = maxn * 2; long long low[maxn]; long long id[maxn]; long long cnt = 0; long long cntnw = 0; vector<long long> gr[maxn]; long long par[maxn]; pair<long long, long long> a[maxn]; vector<long long> adj[maxn]; bool dd[maxn]; long long sl[maxn]; stack<long long> st; vector<long long> adj1[maxn]; long long anc[maxn][22]; long long n, m; long long siz[maxn]; void dfs(long long u, long long par1) { dd[u] = 1; low[u] = id[u] = cnt++; st.push(u); for (auto to : adj[u]) { long long x = a[to].first; long long y = a[to].second; long long nxt = x + y - u; if (nxt == par1) continue; if (dd[nxt]) { low[u] = min(low[u], id[nxt]); } else { dfs(nxt, u); low[u] = min(low[u], low[nxt]); if (low[nxt] >= id[u]) { cntnw++; adj1[u].push_back(cntnw); siz[cntnw] = 1; vector<long long> vt; while (1) { long long p1 = st.top(); st.pop(); adj1[cntnw].push_back(p1); siz[cntnw]++; if (p1 == nxt) break; } } } } } vector<long long> topo; bool kt[maxn]; void dfs1(long long u) { kt[u] = 1; for (auto to : adj1[u]) { if (kt[to]) continue; dfs1(to); } topo.push_back(u); } long long dep[maxn]; void dfs2(long long u, long long par) { anc[u][0] = par; kt[u] = 1; for (int i = 1; i < 20; i++) { anc[u][i] = anc[anc[u][i - 1]][i - 1]; } for (auto to : adj1[u]) { if (kt[to]) continue; dep[to] = dep[u] + 1; dfs2(to, u); } } long long lca(long long x, long long y) { if (dep[x] < dep[y]) swap(x, y); long long kc = dep[x] - dep[y]; for (int i = 20; i >= 0; i--) { if (kc & (1ll << i)) { x = anc[x][i]; } } if (x == y) return x; for (int i = 20; i >= 0; i--) { if (anc[x][i] != anc[y][i]) { x = anc[x][i]; y = anc[y][i]; } } return anc[x][0]; } long long lca1(long long x, long long y) { if (dep[x] < dep[y]) swap(x, y); long long kc = dep[x] - dep[y] - 1; for (int i = 20; i >= 0; i--) { if (kc & (1ll << i)) { x = anc[x][i]; } } return x; } vector<long long> e[maxn]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); if (fopen("t.inp", "r")) { freopen("test.inp", "r", stdin); freopen("test.out", "w", stdout); } cin >> n >> m; for (int i = 1; i <= m; i++) { cin >> a[i].first >> a[i].second; adj[a[i].first].push_back(i); adj[a[i].second].push_back(i); } cntnw = n; for (int i = 1; i <= n; i++) { if (!dd[i]) { dfs(i, -1); } } for (int i = 1; i <= n; i++) { if (!kt[i]) { dfs1(i); } } reverse(topo.begin(), topo.end()); memset(kt, 0, sizeof(kt)); for (auto to : topo) { if (kt[to]) continue; dfs2(to, 0); } for (int i = 1; i <= m; i++) { if (dep[a[i].first] < dep[a[i].second]) swap(a[i].first, a[i].second); long long l = lca(a[i].first, a[i].second); if (l == a[i].second) { e[lca1(a[i].first, a[i].second)].push_back(i); } else { e[l].push_back(i); } } vector<long long> ans; for (int i = n + 1; i <= cntnw; i++) { if (siz[i] == e[i].size()) { for (auto to : e[i]) { ans.push_back(to); } } } sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (auto to : ans) { cout << to << " "; } }
#include <bits/stdc++.h> using namespace std; const int mod1 = 1e5 + 7; const int N = 1e6 + 7; const int mod2 = 1e9 + 7; const long long mod3 = 1e12; vector<pair<pair<int, int>, int> > son[N]; vector<int> bcc_node[N], bcc_edge[N], ans; stack<pair<pair<int, int>, int> > s; set<int> node; int bcc_cnt, belong[N], is_cnt[N], now_time, tin[N], low[N]; void dfs(int o, int fa) { tin[o] = low[o] = ++now_time; int ch = 0; for (int i = 0; i < son[o].size(); ++i) { int v = son[o][i].first.first; if (v == fa) continue; pair<pair<int, int>, int> edge = {{o, v}, son[o][i].second}; if (!tin[v]) { s.push(edge); dfs(v, o); low[o] = min(low[o], low[v]); if (low[v] >= tin[o]) { ch++; is_cnt[o] = true; bcc_node[++bcc_cnt].clear(); bcc_edge[bcc_cnt].clear(); while (true) { pair<pair<int, int>, int> now = s.top(); s.pop(); bcc_edge[bcc_cnt].push_back(now.second); if (belong[now.first.first] != bcc_cnt) { belong[now.first.first] = bcc_cnt; bcc_node[bcc_cnt].push_back(now.first.first); } if (belong[now.first.second] != bcc_cnt) { belong[now.first.second] = bcc_cnt; bcc_node[bcc_cnt].push_back(now.first.second); } if (now.first.first == o && now.first.second == v) break; } } } else if (tin[v] < tin[o]) { s.push(edge); low[o] = min(tin[v], low[o]); } } if (!fa && ch == 1) is_cnt[o] = false; } int main() { int n, m, u, v; scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d%d", &u, &v); son[u].push_back({{v, u}, i}); son[v].push_back({{u, v}, i}); } for (int i = 1; i <= n; i++) dfs(i, i); for (int i = 1; i <= bcc_cnt; i++) if (bcc_node[i].size() == bcc_edge[i].size()) { for (auto v : bcc_edge[i]) node.insert(v); } printf("%d\n", node.size()); if (node.size() > 0) { auto p = node.begin(); printf("%d", *p); while (++p != node.end()) printf(" %d", *p); printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 100; int first[maxn], des[maxn * 2], nxt[maxn * 2], tot; int bcc_cnt, cnt_n[maxn], cnt_e[maxn], bcc_no[maxn]; int dfn[maxn], low[maxn], dfs_clock; int st[maxn * 2], top; bool ok[maxn]; vector<int> ans; vector<int> temp; int m, n; inline void addEdge(int x, int y) { tot++; des[tot] = y; nxt[tot] = first[x]; first[x] = tot; } void input() { cin >> n >> m; for (int i = 0; i < m; i++) { int u, v; scanf("%d%d", &u, &v); addEdge(u, v); addEdge(v, u); } } void dfs(int u, int fa) { dfn[u] = low[u] = ++dfs_clock; for (int t = first[u]; t; t = nxt[t]) { int v = des[t]; if (v == fa) continue; if (!dfn[v]) { st[top++] = t; dfs(v, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { bcc_cnt++; ok[bcc_cnt] = true; temp.clear(); while (true) { int tt = st[--top]; temp.push_back((tt + 1) / 2); if (bcc_no[des[tt]] != bcc_cnt) { bcc_no[des[tt]] = bcc_cnt; cnt_n[bcc_cnt]++; } else { ok[bcc_cnt] = false; } cnt_e[bcc_cnt]++; if (tt == t) { break; } } if (ok[bcc_cnt] && temp.size() > 1) { for (int i = 0; i < temp.size(); i++) { ans.push_back(temp[i]); } } } } else if (dfn[v] < dfn[u]) { st[top++] = t; low[u] = min(low[u], dfn[v]); } } } void solve() { for (int i = 1; i <= n; i++) { if (!dfn[i]) dfs(i, -1); } sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (int i = 0; i < ans.size(); i++) { printf("%d ", ans[i]); } } int main() { input(); solve(); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O2") using namespace std; const int N = 1e6 + 10; const long long mod = 1e9 + 7; const long long mod2 = 998244353; const long long inf = 8e18; const int LOG = 22; long long pw(long long a, long long b, long long M) { return (!b ? 1 : (b & 1 ? (a * pw(a * a % M, b / 2, M)) % M : pw(a * a % M, b / 2, M))); } int n, m, par[N], sz[N], H[N], mark[N], Mn[N]; vector<pair<int, int> > G[N]; int get(int x) { return ((x == par[x]) ? x : par[x] = get(par[x])); } void unify(int v, int u) { v = get(v), u = get(u); if (v == u) return; if (sz[u] > sz[v]) swap(u, v); par[u] = v; sz[v] += sz[u]; } void dfs(int v, int P = 0, int last = 0) { Mn[v] = H[v] = H[P] + 1; mark[v] = 1; for (auto y : G[v]) { int u = y.first, id = y.second; if (u == P || (mark[u] == 1 && H[u] >= H[v])) continue; if (mark[u]) { Mn[v] = min(Mn[v], H[u]); sz[get(id)]++; unify(id, last); } else { dfs(u, v, id); Mn[v] = min(Mn[v], Mn[u]); if (Mn[u] <= H[P]) unify(id, last); } } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int a, b; scanf("%d%d", &a, &b); G[a].push_back(make_pair(b, i)); G[b].push_back(make_pair(a, i)); } for (int i = 1; i <= m; i++) { par[i] = i; } for (int i = 1; i <= n; i++) { if (!mark[i]) { dfs(i); } } vector<int> tot; for (int i = 1; i <= m; i++) { if (sz[get(i)] == 1) tot.push_back(i); } printf("%d\n", (int)tot.size()); for (auto x : tot) { printf("%d ", x); } return 0; }
#include <bits/stdc++.h> using namespace std; struct wf { int to, nxt; } edge[100005 << 1]; int h[100005], vis[100005], is_top[200005], st[200005]; int val[100005], dep[100005], whe[200005], fa[100005]; int n, m, cnt, pos, flag, top; void add(int u, int v) { edge[++cnt].nxt = h[u]; edge[cnt].to = v; h[u] = cnt; } void dfs(int u, int ff, int dd) { dep[u] = dd; fa[u] = ff; vis[u] = 1; for (int i = h[u]; i != -1; i = edge[i].nxt) { int v = edge[i].to; if (!vis[v]) is_top[i] = 1, whe[v] = i, dfs(v, u, dd + 1); } } void DFS(int u) { vis[u] = 1; for (int i = h[u]; i != -1; i = edge[i].nxt) { int v = edge[i].to; if (is_top[i]) DFS(v), val[u] += val[v]; } } int main() { cnt = -1; scanf("%d%d", &n, &m); int u, v; memset(edge, -1, sizeof(edge)); memset(h, -1, sizeof(h)); for (int i = 1; i <= m; i++) { scanf("%d%d", &u, &v); add(u, v); add(v, u); } for (int i = 1; i <= n; i++) if (!vis[i]) { dfs(i, 0, 1); } for (int i = 0; i <= cnt; i += 2) if (is_top[i] == 0 && is_top[i + 1] == 0) { int u = edge[i].to; int v = edge[i + 1].to; if (dep[v] > dep[u]) swap(u, v); ++val[u]; --val[v]; } memset(vis, 0, sizeof(vis)); for (int i = 1; i <= n; i++) if (!vis[i]) DFS(i); for (int i = 0; i <= cnt; i += 2) if (is_top[i] == 0 && is_top[i + 1] == 0) { flag = 0; int u = edge[i].to; int v = edge[i + 1].to; if (dep[v] > dep[u]) swap(u, v); pos = u; while (1) { if (fa[pos] == v) break; if (val[pos] != 1) { flag = 1; break; } pos = fa[pos]; } if (val[pos] == 1 && flag == 0) { st[++top] = i + 2 >> 1; while (u != v) { st[++top] = whe[u] + 2 >> 1; u = fa[u]; } } } printf("%d\n", top); sort(st + 1, st + top + 1); for (int i = 1; i <= top; i++) printf("%d ", st[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; const int N = 2e5 + 10; int g[N], v[N << 1], nxt[N << 1], ed; int dfn[N], low[N], q[N], cut[N], t, sub, num; int al; void add(int x, int y) { v[++ed] = y, nxt[ed] = g[x], g[x] = ed; } vector<int> scc[N]; void ADD(int id, int x) { scc[id].push_back(x); } map<pair<int, int>, int> mp; set<int> s; void tarjan(int x, int f) { dfn[x] = low[x] = ++num, q[++t] = x; for (int i = g[x]; i; i = nxt[i]) if (!dfn[v[i]]) { int y = v[i]; tarjan(y, x); if (low[x] > low[y]) low[x] = low[y]; if (!f) sub++; if (dfn[x] <= low[y] && f || !f && sub > 1) { cut[x] = 1; s.clear(); ADD(++al, x); s.insert(x); while (1) { int z = q[t--]; ADD(al, z); for (int j = g[z]; j; j = nxt[j]) { int to = v[j]; if (s.count(to)) { if (to < z) mp[{to, z}] = al; else mp[{z, to}] = al; } } s.insert(z); if (z == y) break; } } } else if (low[x] > dfn[v[i]]) low[x] = dfn[v[i]]; } pair<int, int> e[N]; int cnt[N], vis[N]; int main() { std::ios::sync_with_stdio(false), cin.tie(0), cout.tie(0); int n, m; cin >> n >> m; for (int i = 1, x, y; i <= m; i++) { cin >> x >> y; e[i].first = x; e[i].second = y; add(x, y); add(y, x); } for (int i = 1; i <= n; i++) if (!dfn[i]) { sub = 0, tarjan(i, 0); if (t) { al++; s.clear(); while (t) { int x = q[t]; ADD(al, q[t--]); for (int j = g[x]; j; j = nxt[j]) { int to = v[j]; if (s.count(to)) { if (x < to) mp[{x, to}] = al; else mp[{to, x}] = al; } } s.insert(x); } } } for (int i = 1; i <= m; i++) { int x = e[i].first, y = e[i].second; if (x > y) swap(x, y); cnt[mp[{x, y}]]++; } vector<int> res; for (int i = 1; i <= m; i++) { int x = e[i].first, y = e[i].second; if (y < x) swap(x, y); int sc = mp[{x, y}]; if (cnt[sc] == (int)scc[sc].size()) res.push_back(i); } cout << (int)res.size() << '\n'; for (int it : res) cout << it << ' '; return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = (int)1e9 + 7; const int maxn = (int)1e5 + 10; const long long int inf = std::numeric_limits<long long int>::max(); vector<pair<int, int> > adj[maxn]; pair<int, int> parent[maxn]; int dp1[maxn], lvl[maxn], dp2[maxn], root; vector<int> ans; void dfs(int u) { for (auto e : adj[u]) { int v, id; tie(v, id) = e; if (v == parent[u].first) continue; if (lvl[v] != 0 && lvl[v] < lvl[u]) { dp1[v]--; dp1[u]++; } else if (lvl[v] == 0) { lvl[v] = lvl[u] + 1; parent[v] = {u, id}; dfs(v); dp1[u] += dp1[v]; } } } void dfs2(int u, vector<int> &acum) { int pos = acum.size(); acum.push_back(dp1[u] + (acum.empty() ? 0 : acum.back())); for (auto e : adj[u]) { int v, id; tie(v, id) = e; if (v == parent[u].first) continue; if (lvl[v] != 0 && lvl[v] < lvl[u]) { int dif = lvl[u] - lvl[v]; assert(pos - dif >= 0); int cuantas = acum[pos] - acum[pos - dif]; if (cuantas == dif) { ans.push_back(id); dp2[v]--; dp2[u]++; } } else if (lvl[v] == 0) { lvl[v] = lvl[u] + 1; parent[v] = {u, id}; dfs2(v, acum); dp2[u] += dp2[v]; } } if (u != root && dp2[u] == 1) { ans.push_back(parent[u].second); } acum.pop_back(); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, m; cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v; cin >> u >> v; adj[u].push_back({v, i}); adj[v].push_back({u, i}); } for (int i = 1; i <= n; i++) { if (lvl[i] == 0) { root = i; lvl[i] = 1; dfs(i); } } for (int i = 1; i <= n; i++) { lvl[i] = 0; parent[i] = {0, 0}; } vector<int> aux, aux2; for (int i = 1; i <= n; i++) { if (lvl[i] == 0) { root = i; lvl[i] = 1; aux.clear(); dfs2(i, aux); } } sort((ans).begin(), (ans).end()); cout << ans.size() << '\n'; for (int x : ans) cout << x << " "; cout << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; const int inf_ = 0x7fffffff; const long long inff = 4557430888798830399ll; const double pi = acos(-1.0); long long mod = 1e9 + 7; unordered_map<int, int> id[100005]; struct DCC { DCC() { init(0, 0); } int n, t, h, m, dfn[100005], low[100005], s[100005], e[100005], g[100005]; vector<int>*N, cut, D[100005], F[100005]; bool mark[100005]; void init(int _n, vector<int>* _N) { n = _n; N = _N; t = h = -1; m = 0; memset(dfn, 0, sizeof(dfn)); memset(low, 0, sizeof(low)); memset(mark, 0, sizeof(mark)); cut.clear(); } void dfs(int u, int d, int p) { int sec = 0, son = d > 1, e; dfn[u] = low[u] = d; s[++t] = u; for (auto v : N[u]) { if (!mark[e = id[u][v]]) g[++h] = e, mark[e] = 1; if (!dfn[v]) { dfs(v, d + 1, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { if (++son == 2) cut.push_back(u); m += 1; D[m].clear(); D[m].push_back(u); F[m].clear(); do F[m].push_back(g[h]); while (g[h--] != e); do D[m].push_back(s[t]); while (s[t--] != v); } } else if (v != p || sec++) low[u] = min(low[u], dfn[v]); } } void run() { for (int i = (1); i <= (n); ++i) if (!dfn[i]) dfs(i, 1, 0); gen(); } void gen() { vector<int> z; for (int i = (1); i <= (m); ++i) if (((int)F[i].size()) == ((int)D[i].size()) && ((int)D[i].size()) > 2) for (auto e : F[i]) z.push_back(e); sort((z).begin(), (z).end()); z.erase(unique((z).begin(), (z).end()), z.end()); cout << ((int)z.size()) << endl; for (int i = (0); i < (((int)z.size())); ++i) cout << z[i] << " \n"[i == ((int)z.size()) - 1]; } }; vector<int> N[100005]; DCC t; int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, m, u, v; cin >> n >> m; for (int i = (1); i <= (m); ++i) { cin >> u >> v; N[u].push_back(v); N[v].push_back(u); id[u][v] = id[v][u] = i; } t.init(n, N); t.run(); }
#include <bits/stdc++.h> const int N = 100005; int n, m, cnt, last[N], num[N], dep[N], s[N], f[N], g[N], fa[N]; bool vis[N]; struct edge { int to, next; bool tag; } e[N * 2]; int find(int x) { if (f[x] == x) return x; else return f[x] = find(f[x]); } void addedge(int u, int v) { e[++cnt].to = v; e[cnt].next = last[u]; last[u] = cnt; e[++cnt].to = u; e[cnt].next = last[v]; last[v] = cnt; } void dfs1(int x) { vis[x] = 1; dep[x] = dep[fa[x]] + 1; for (int i = last[x]; i; i = e[i].next) { if (e[i].to == fa[x]) continue; if (!vis[e[i].to]) fa[e[i].to] = x, num[e[i].to] = i, dfs1(e[i].to); else if (dep[e[i].to] < dep[x]) s[x]++, s[e[i].to]--; } } void dfs2(int x) { vis[x] = 1; for (int i = last[x]; i; i = e[i].next) { if (e[i].to == fa[x]) continue; if (!vis[e[i].to]) dfs2(e[i].to), s[x] += s[e[i].to]; } } void dfs3(int x) { vis[x] = 1; g[x] = (s[x] > 1) + g[fa[x]]; for (int i = last[x]; i; i = e[i].next) { if (e[i].to == fa[x]) continue; if (!vis[e[i].to]) dfs3(e[i].to); else if (dep[e[i].to] < dep[x] && g[x] - g[e[i].to] == 0) { int y = find(x); e[i].tag = e[i ^ 1].tag = 1; while (dep[y] > dep[e[i].to]) { e[num[y]].tag = e[num[y] ^ 1].tag = 1; f[y] = find(fa[y]); y = find(y); } } } } int main() { scanf("%d%d", &n, &m); cnt = 1; for (int i = 1; i <= m; i++) { int x, y; scanf("%d%d", &x, &y); addedge(x, y); } for (int i = 1; i <= n; i++) if (!vis[i]) dfs1(i); memset(vis, 0, sizeof(vis)); for (int i = 1; i <= n; i++) if (!vis[i]) dfs2(i); memset(vis, 0, sizeof(vis)); for (int i = 1; i <= n; i++) f[i] = i; for (int i = 1; i <= n; i++) if (!vis[i]) dfs3(i); int ans = 0; for (int i = 2; i <= cnt; i += 2) ans += e[i].tag; printf("%d\n", ans); for (int i = 2; i <= cnt; i += 2) if (e[i].tag) printf("%d ", i / 2); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e5 + 10; int n, m, from[MAXN], to[MAXN], h[MAXN]; vector<int> adj[MAXN]; bool vis[MAXN]; void fix(int e) { if (h[from[e]] > h[to[e]]) swap(from[e], to[e]); } bool better(int e1, int e2) { if (e2 == -1) return true; if (e1 == -1) return false; fix(e1), fix(e2); return h[from[e1]] < h[from[e2]]; } void upd(pair<int, int> &a, int b) { if (better(b, a.second)) { a.second = b; if (better(a.second, a.first)) swap(a.first, a.second); } } pair<int, int> g[MAXN]; bool in[MAXN]; int c[MAXN]; pair<int, int> dfs(int v, int p) { vis[v] = true; pair<int, int> res(-1, -1); for (int e : adj[v]) if (e ^ p) { int u = from[e] ^ to[e] ^ v; if (vis[u]) upd(res, e); else { h[u] = h[v] + 1; auto x = dfs(u, e); upd(res, x.first); upd(res, x.second); } } fix(res.second); if (h[from[res.second]] >= h[v]) res.second = -1; fix(res.first); if (h[from[res.first]] >= h[v]) res.first = -1; g[v] = res; return res; } void dfs2(int v, int p) { vis[v] = true; c[v] += g[v].second != -1; for (int e : adj[v]) { int u = from[e] ^ to[e] ^ v; if (!vis[u]) { c[u] = c[v]; dfs2(u, v); } } } void dfs3(int v, int p) { vis[v] = true; for (int e : adj[v]) { int u = from[e] ^ to[e] ^ v; if (!vis[u]) { in[e] = (g[u].first != -1 && in[g[u].first]); dfs3(u, v); } } } int main() { scanf("%d %d", &n, &m); for (int i = 0; i < m; i++) { scanf("%d %d", &from[i], &to[i]); from[i]--, to[i]--; adj[from[i]].push_back(i); adj[to[i]].push_back(i); } for (int v = 0; v < n; v++) if (!vis[v]) dfs(v, -1); memset(vis, 0, sizeof(vis)); for (int v = 0; v < n; v++) if (!vis[v]) dfs2(v, -1); for (int e = 0; e < m; e++) { fix(e); if (h[from[e]] + 1 != h[to[e]]) in[e] = (c[to[e]] - c[from[e]] == 0); } memset(vis, 0, sizeof(vis)); for (int v = 0; v < n; v++) if (!vis[v]) dfs3(v, -1); int t = 0; for (int e = 0; e < m; e++) if (in[e]) t++; printf("%d\n", t); for (int e = 0; e < m; e++) if (in[e]) printf("%d ", e + 1); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; class Graph { public: struct edge { edge() : u(-1), v(-1), w(0), index(-1), deleted(false), bi_edge(false), ctx(0) {} edge(int _u, int _v, int _w, int _index, int _bi_edge, int _ctx) : u(_u), v(_v), w(_w), index(_index), deleted(false), bi_edge(_bi_edge), ctx(_ctx) {} int u; int v; int w; int index; bool deleted; bool bi_edge; int ctx; bool existed() { return !deleted; } int to(int _u) { if (!bi_edge) { return v; } else { return _u == u ? v : u; } } }; Graph(int _n, bool _need_unique_edge = false) : n(_n), need_unique_edge(_need_unique_edge), need_count_edge(false), support_circle_edge(false) { g.resize(n); for (int i = 0; i < n; i++) { g[i].reserve(5); } edges.reserve(n * 2); edge_count.resize(n); } void SetUseRepeatEdge(bool use) { if (use) { need_count_edge = true; need_unique_edge = false; } else { need_count_edge = false; need_unique_edge = true; } } void SetSupportCircleEdge(bool support) { support_circle_edge = support; } bool CheckNeedAdd(int u, int v) { assert(u < n); assert(v < n); if (!support_circle_edge) { if (u == v) { return false; } } if (need_unique_edge) { if (edge_count[u][v] > 0) { return false; } } return true; } void AddEdge(int u, int v, int w = 0, int ctx = 0) { int edge_index = (int)edges.size(); edges.push_back(edge(u, v, w, edge_index, false, ctx)); if (!CheckNeedAdd(u, v)) { return; } if (need_unique_edge || need_count_edge) { edge_count[u][v]++; } g[u].push_back(edge_index); } void AddBiEdge(int u, int v, int w = 0, int ctx = 0) { int edge_index = (int)edges.size(); edges.push_back(edge(u, v, w, edge_index, true, ctx)); if (!CheckNeedAdd(u, v)) { return; } if (need_unique_edge || need_count_edge) { edge_count[u][v]++; if (u != v) { edge_count[v][u]++; } } g[u].push_back(edge_index); if (u != v) { g[v].push_back(edge_index); } } void SetEdgeDeleted(int edge_index, bool deleted) { if (edge_index >= (int)edges.size()) { return; } auto& e = edges[edge_index]; if (e.deleted != deleted) { e.deleted = deleted; if (need_count_edge) { int delta = deleted ? -1 : 1; edge_count[e.u][e.v] += delta; if (e.bi_edge && e.u != e.v) { edge_count[e.v][e.u] += delta; } } } } void RandEdge() { for (auto& es : g) { random_shuffle(es.begin(), es.end()); } } public: int Tarjan_VBCC(vector<int>& cut_vertices, vector<int>& edge_component); public: int n; vector<vector<int>> g; vector<edge> edges; vector<map<int, int>> edge_count; bool need_unique_edge; bool need_count_edge; bool support_circle_edge; }; int Graph ::Tarjan_VBCC(vector<int>& cut_vertices, vector<int>& edge_component) { edge_component.resize(edges.size(), -1); vector<int> dfn(n, 0); vector<int> low(n, 0); vector<bool> visited(n, false); stack<int> s; function<void(int, int)> dfs; int visit_index = 0; int component_index = 0; dfs = [&](int u, int parent) { dfn[u] = low[u] = visit_index++; visited[u] = true; int found_cp_count = 0; for (auto ei : g[u]) { auto& e = edges[ei]; if (!e.existed()) continue; int v = e.to(u); if (!visited[v]) { s.push(e.index); dfs(v, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { found_cp_count++; while (!s.empty()) { auto edge_index = s.top(); s.pop(); edge_component[edge_index] = component_index; if (edge_index == e.index) { break; } } component_index++; } } else if (v != parent) { if (dfn[v] < dfn[u]) { s.push(e.index); } low[u] = min(low[u], dfn[v]); } } if ((parent != -1 && found_cp_count > 0) || found_cp_count > 1) { cut_vertices.push_back(u); } }; for (int u = 0; u < n; u++) { if (!visited[u]) { dfs(u, -1); } } return component_index; } void Solve() { int n, m; cin >> n >> m; Graph g(n); for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; g.AddBiEdge(u - 1, v - 1); } vector<int> cut_vertices; vector<int> edge_component; int component_count = g.Tarjan_VBCC(cut_vertices, edge_component); vector<set<int>> component_vertex_count(component_count); vector<int> component_edge_count(component_count); for (int ei = 0; ei < m; ei++) { component_edge_count[edge_component[ei]]++; auto& e = g.edges[ei]; component_vertex_count[edge_component[ei]].insert(e.u); component_vertex_count[edge_component[ei]].insert(e.v); } vector<int> ans; for (int ei = 0; ei < m; ei++) { auto cp = edge_component[ei]; if (component_vertex_count[cp].size() == component_edge_count[cp]) { ans.push_back(ei + 1); } } printf("%d\n", (int)ans.size()); for (auto v1 : ans) printf("%d ", (int)v1); ; } int main(int argc, char** argv) { 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; const int N = 1e5 + 10; const long long mod = 1e9 + 7; const long long inf = 1e18 + 10; int mark[N], h[N], f[N], g[N], ps[N], res[N]; vector<pair<int, int> > adj[N]; void dfs0(int v) { mark[v] = 1; for (pair<int, int> e : adj[v]) { int u = e.first; if (!mark[u]) h[u] = h[v] + 1, dfs0(u); else if (h[v] < h[u]) f[u]++, f[v]--; } } void dfs1(int v) { mark[v] = 1; for (pair<int, int> e : adj[v]) if (!mark[e.first]) dfs1(e.first), f[v] += f[e.first]; } void dfs2(int v) { mark[v] = 1; ps[v] += (2 <= f[v]); for (pair<int, int> e : adj[v]) if (!mark[e.first]) ps[e.first] = ps[v], dfs2(e.first); } void dfs3(int v) { mark[v] = 1; for (pair<int, int> e : adj[v]) { int u = e.first; if (!mark[u]) dfs3(u); else if (h[v] < h[u] && 1 <= ps[u] - ps[v]) g[u]++, g[v]--; } } void dfs4(int v) { mark[v] = 1; for (pair<int, int> e : adj[v]) if (!mark[e.first]) dfs4(e.first), g[v] += g[e.first]; } void dfs5(int v) { mark[v] = 1; for (pair<int, int> e : adj[v]) { int u = e.first, id = e.second; if (!mark[u]) dfs5(u), res[id] = (f[u] == 1 && g[u] == 0); else if (h[v] < h[u]) res[id] = (f[u] == 1 && g[u] == 0); } } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v; cin >> u >> v; adj[u].push_back(make_pair(v, i)); adj[v].push_back(make_pair(u, i)); } for (int i = 1; i <= n; i++) if (!mark[i]) dfs0(i); memset(mark, 0, sizeof mark); for (int i = 1; i <= n; i++) if (!mark[i]) dfs1(i); memset(mark, 0, sizeof mark); for (int i = 1; i <= n; i++) if (!mark[i]) dfs2(i); memset(mark, 0, sizeof mark); for (int i = 1; i <= n; i++) if (!mark[i]) dfs3(i); memset(mark, 0, sizeof mark); for (int i = 1; i <= n; i++) if (!mark[i]) dfs4(i); memset(mark, 0, sizeof mark); for (int i = 1; i <= n; i++) if (!mark[i]) dfs5(i); int cnt = 0; for (int i = 1; i <= m; i++) if (res[i]) cnt++; cout << cnt << '\n'; for (int i = 1; i <= m; i++) if (res[i]) cout << i << ' '; return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; const long long maxn = 1e5 + 7; const long long maxm = 2e5 + 7; int low[maxn], tin[maxn], head[maxm], vis[maxn * 2]; int cnt = 0, times = 0, totn = 0; set<int> ans; struct EDGE { int to, next, id; } p[maxm * 2]; stack<int> Skeg; void add(int u, int v, int i) { p[cnt].to = v; p[cnt].next = head[u]; p[cnt].id = i; head[u] = cnt++; } void tarjan(int k, int fa) { low[k] = tin[k] = ++times; int v; for (int i = head[k]; i != -1; i = p[i].next) { v = p[i].to; if (v == fa) continue; if (vis[i]) continue; vis[i] = vis[i ^ 1] = 1; Skeg.push(i); if (!tin[v]) { tarjan(v, k); low[k] = min(low[k], low[v]); if (low[v] >= tin[k]) { totn++; int t; set<int> ve, eg; ve.insert(k); do { t = Skeg.top(); Skeg.pop(); ve.insert(p[t].to); eg.insert(p[t].id); } while (t != i); if (ve.size() == eg.size()) { ans.insert(eg.begin(), eg.end()); } } } else if (tin[v] < tin[k]) { low[k] = min(low[k], tin[v]); } } } int main() { memset(head, -1, sizeof(head)); int n, m, u, v; scanf("%d", &n); scanf("%d", &m); for (register int i = 1; i <= m; i = i + 1) { scanf("%d", &u); scanf("%d", &v); add(u, v, i); add(v, u, i); } for (register int i = 1; i <= n; i = i + 1) { if (!tin[i]) tarjan(i, -1); } printf("%d", ans.size()); printf("\n"); ; for (auto i : ans) { printf("%d", i); printf("%s", " "); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100010; int n, m, h[N], num = 1, dfn[N], low[N], timer = 0, bcc = 0, sz[N], ans = 0; bool f[N], used[N]; struct edge { int to, next; }; edge data[N << 1]; vector<int> a[N]; stack<int> vstack; stack<int> estack; inline void tarjan(int x) { dfn[x] = low[x] = ++timer; vstack.push(x); for (int i = h[x]; i != 0; i = data[i].next) { int y = data[i].to; if (used[i >> 1]) continue; used[i >> 1] = true; estack.push(i >> 1); if (!dfn[y]) { tarjan(y); low[x] = min(low[x], low[y]); if (low[y] < dfn[x]) continue; ++bcc; while (true) { int z = vstack.top(); vstack.pop(); sz[bcc]++; if (z == y) break; } sz[bcc]++; while (1) { int j = estack.top(); estack.pop(); a[bcc].push_back(j); if (j == (i >> 1)) break; } continue; } low[x] = min(low[x], dfn[y]); } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int x, y; scanf("%d%d", &x, &y); data[++num].to = y; data[num].next = h[x]; h[x] = num; data[++num].to = x; data[num].next = h[y]; h[y] = num; } for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i), vstack.pop(); for (int i = 1; i <= bcc; i++) { if (sz[i] != a[i].size()) continue; for (int j = 0; j < a[i].size(); j++) f[a[i][j]] = 1, ++ans; } printf("%d\n", ans); for (int i = 1; i <= m; i++) if (f[i]) printf("%d ", i); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; const int M = 100005; int read() { int x = 0, f = 1; char c; while ((c = getchar()) < '0' || c > '9') { if (c == '-') f = -1; } while (c >= '0' && c <= '9') { x = (x << 3) + (x << 1) + (c ^ 48); c = getchar(); } return x * f; } int n, m, tot, Index, cnt, top, f[M], dfn[M], low[M], st[3 * M]; set<int> nd[M], eg[M], ans; struct edge { int v, next; } e[2 * M]; void dfs(int u, int p) { dfn[u] = low[u] = ++Index; for (int i = f[u]; i; i = e[i].next) { int v = e[i].v; if (v == p) continue; if (!dfn[v]) { st[++top] = i >> 1; st[++top] = u; st[++top] = v; dfs(v, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { cnt++; while (1) { int t1 = st[top--], t2 = st[top--]; nd[cnt].insert(t1); nd[cnt].insert(t2); eg[cnt].insert(st[top--]); if (t1 == v && t2 == u) break; } } } else if (dfn[v] < dfn[u]) { st[++top] = i >> 1; st[++top] = u; st[++top] = v; low[u] = min(low[u], dfn[v]); } } } signed main() { n = read(); m = read(); tot = 1; for (int i = 1; i <= m; i++) { int u = read(), v = read(); e[++tot] = edge{v, f[u]}, f[u] = tot; e[++tot] = edge{u, f[v]}, f[v] = tot; } for (int i = 1; i <= n; i++) if (!dfn[i]) dfs(i, 0); for (int i = 1; i <= cnt; i++) { if (eg[i].size() == nd[i].size()) ans.insert(eg[i].begin(), eg[i].end()); } printf("%d\n", ans.size()); for (set<int>::iterator i = ans.begin(); i != ans.end(); i++) printf("%d ", *i); }
#include <bits/stdc++.h> #pragma GCC optimize "-O3" using namespace std; const int MAXN = 120000; int was[MAXN]; vector<pair<int, int>> eds[MAXN]; vector<int> go[MAXN]; int pe[MAXN]; int p[MAXN]; int h[MAXN]; int ad[MAXN]; vector<pair<int, int>> vv; int cc[MAXN]; int n, m; int dfs1(int v) { int cur = 0; was[v] = 1; for (auto e : eds[v]) { int u = e.first; if (was[u]) { if (h[u] < h[v] - 1) { --ad[u]; vv.push_back(make_pair(v, u)); go[v].push_back(e.second); ++cur; } } else { h[u] = h[v] + 1; p[u] = v; pe[u] = e.second; cur += dfs1(u); } } cur += ad[v]; if (h[v] != 0) { cc[pe[v]] = cur; } return cur; } int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> n >> m; for (int i = 0; i < m; ++i) { int a, b; cin >> a >> b; --a, --b; eds[a].push_back(make_pair(b, i)); eds[b].push_back(make_pair(a, i)); } for (int i = 0; i < n; ++i) if (!was[i]) dfs1(i); vector<int> ans; for (auto e : vv) { int a, b; tie(a, b) = e; int fl = 0; while (a != b) { if (cc[pe[a]] != 1) { fl = 1; break; } a = p[a]; } if (!fl) { tie(a, b) = e; ans.push_back(go[a][0]); while (a != b) { ans.push_back(pe[a]); a = p[a]; } } } sort(ans.begin(), ans.end()); cout << ans.size() << "\n"; for (int i : ans) cout << i + 1 << " "; return 0; }
#include <bits/stdc++.h> using namespace std; long long gcd(long long a, long long b) { return b == 0 ? a : gcd(b, a % b); } const int MAXN = 100000; const int MAXM = 100000; const int MAXCOMP = MAXN; int n, m; vector<int> adj[MAXN]; map<pair<int, int>, int> emp; bool res[MAXM]; int ret[MAXM], nret; int ncomp; vector<int> comps[MAXN]; vector<int> compnodes[MAXCOMP]; vector<pair<int, int> > compedges[MAXCOMP]; bool done[MAXN]; int id[MAXN], mnid[MAXN], nid; int nodestck[MAXN], nnodestck; pair<int, int> edgestck[2 * MAXM]; int nedgestck; void dfs(int at, int par) { id[at] = mnid[at] = nid++; nodestck[nnodestck++] = at; for (int i = (0); i < (((int)(adj[at]).size())); ++i) { int to = adj[at][i]; if (!done[to]) edgestck[nedgestck++] = make_pair(at, to); if (to == par) continue; if (id[to] == -1) { dfs(to, at); mnid[at] = min(mnid[at], mnid[to]); } else { mnid[at] = min(mnid[at], id[to]); } } if (par != -1 && mnid[at] >= id[par] || par == -1 && ((int)(adj[at]).size()) == 0) { int c = ncomp++; compnodes[c].clear(), compedges[c].clear(); while (!done[at]) { int u = nodestck[--nnodestck]; comps[u].push_back(c); compnodes[c].push_back(u); done[u] = true; } if (par != -1) comps[par].push_back(c), compnodes[c].push_back(par); if (par != -1) while (true) { pair<int, int> e = edgestck[--nedgestck]; compedges[c].push_back(e); if (e.first != at && e.second == par) compedges[c].push_back(make_pair(e.second, e.first)); if (e.first == par && e.second == at) break; } } } void run() { scanf("%d%d", &n, &m); for (int i = (0); i < (m); ++i) { int a, b; scanf("%d%d", &a, &b); --a, --b; adj[a].push_back(b); adj[b].push_back(a); emp[make_pair(min(a, b), max(a, b))] = i; } ncomp = 0, nid = 0, nnodestck = 0, nedgestck = 0; for (int i = (0); i < (n); ++i) id[i] = -1, comps[i].clear(), done[i] = false; for (int i = (0); i < (n); ++i) if (!done[i]) dfs(i, -1); for (int i = (0); i < (m); ++i) res[i] = false; for (int i = (0); i < (ncomp); ++i) { if (((int)(compnodes[i]).size()) == 1) { assert(((int)(compedges[i]).size()) == 0); continue; } if (((int)(compnodes[i]).size()) == 2) { assert(((int)(compedges[i]).size()) == 2); continue; } if (((int)(compnodes[i]).size()) >= 3 && ((int)(compedges[i]).size()) == ((int)(compnodes[i]).size()) * 2) { for (int j = (0); j < (((int)(compedges[i]).size())); ++j) { int a = compedges[i][j].first, b = compedges[i][j].second; if (a >= b) continue; assert(emp.count(make_pair(a, b))); res[emp[make_pair(a, b)]] = true; } } } nret = 0; for (int i = (0); i < (m); ++i) if (res[i]) ret[nret++] = i; printf("%d\n", nret); for (int i = (0); i < (nret); ++i) { if (i != 0) printf(" "); printf("%d", ret[i] + 1); } puts(""); } int main() { run(); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100005; int disc[MAXN], low[MAXN]; vector<int> adj[MAXN]; stack<pair<int, int> > S; vector<vector<pair<int, int> > > allcomponent; map<pair<int, int>, int> urutan; void dfs(int now, int par) { disc[now] = low[now] = disc[par] + 1; for (auto nxt : adj[now]) { if (nxt == par) continue; if (disc[now] > disc[nxt]) S.push({now, nxt}); if (disc[nxt] != 0) low[now] = min(low[now], disc[nxt]); else { dfs(nxt, now); low[now] = min(low[now], low[nxt]); if (low[nxt] >= disc[now]) { vector<pair<int, int> > component; while (!S.empty() && (S.top().first != now || S.top().second != nxt)) { component.push_back(S.top()); S.pop(); } component.push_back(S.top()); S.pop(); allcomponent.push_back(component); } } } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); int n, m, u, v; cin >> n >> m; for (int i = 1; i <= m; i++) { cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); urutan[{u, v}] = i; urutan[{v, u}] = i; } for (int i = 1; i <= n; i++) if (disc[i] == 0) dfs(i, 0); vector<int> ans; for (auto isi : allcomponent) { set<int> node; for (auto edge : isi) { node.insert(edge.first); node.insert(edge.second); } if (node.size() == isi.size()) { for (auto edge : isi) ans.push_back(urutan[edge]); } } sort(ans.begin(), ans.end()); ans.erase(unique(ans.begin(), ans.end()), ans.end()); cout << ans.size() << '\n'; for (auto isi : ans) cout << isi << " "; cout << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1234567; inline int read() { int p = 0; int f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { p = p * 10 + ch - '0'; ch = getchar(); } return p * f; } struct node { int x, y, next; } edge[N]; int len, first[N]; void ins(int x, int y) { len++; edge[len].x = x; edge[len].y = y; edge[len].next = first[x]; first[x] = len; } int dfn[N], low[N], id = 0, cnt = 0; stack<int> s; int n, m; vector<int> scc[N]; int bel[N]; void dfs(int x) { dfn[x] = low[x] = ++id; s.push(x); for (int k = first[x]; k != -1; k = edge[k].next) { int y = edge[k].y; if (dfn[y] == -1) { dfs(y); low[x] = min(low[x], low[y]); if (low[y] >= dfn[x]) { cnt++; scc[cnt].push_back(x); int i; do { i = s.top(); scc[cnt].push_back(i); bel[i] = cnt; s.pop(); } while (i != y); } } else low[x] = min(low[x], dfn[y]); } } vector<int> siz[N]; vector<int> v; int main() { len = 1; memset(first, -1, sizeof(first)); n = read(); m = read(); for (int i = 1; i <= m; i++) { int x = read(); int y = read(); ins(x, y); ins(y, x); } memset(dfn, -1, sizeof(dfn)); memset(low, -1, sizeof(low)); cnt = 0; for (int i = 1; i <= n; i++) if (dfn[i] == -1) { while (!s.empty()) s.pop(); dfs(i); } for (int i = 2; i <= len; i += 2) { int p = dfn[edge[i].x] > dfn[edge[i].y] ? edge[i].x : edge[i].y; siz[bel[p]].push_back(i / 2); } for (int i = 1; i <= cnt; i++) { if (scc[i].size() == siz[i].size()) for (auto j : siz[i]) v.push_back(j); } printf("%d\n", v.size()); sort(v.begin(), v.end()); for (int i = 0; i < v.size(); i++) printf("%d%c", v[i], " \n"[i == v.size() - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename num_t> inline void addmod(num_t& a, const long long& b, const int& m) { a = (a + b) % m; if (a < 0) a += m; } template <typename num_t> inline void update_max(num_t& a, const num_t& b) { a = max(a, b); } template <typename num_t> inline void update_min(num_t& a, const num_t& b) { a = min(a, b); } template <typename num_t> num_t gcd(num_t lhs, num_t rhs) { return !lhs ? rhs : gcd(rhs % lhs, lhs); } template <typename num_t> num_t pw(num_t n, num_t k, num_t mod) { long long res = 1; for (; k; k >>= 1) { if (k & 1) res = res * n % mod; n = 1ll * n * n % mod; } return (num_t)res; } const int inf = 1e9 + 7; const long long ll_inf = 1ll * inf * inf; const int MAX_N = 100000 + 7; const int mod = inf; int n, m; vector<pair<int, int>> adj[MAX_N]; bool tree_edge[MAX_N]; bool check[MAX_N]; int nxt[MAX_N]; class DisjoinSet { public: vector<int> r; vector<int> cnt; int component; int nodes; void init(int n) { r.resize(n + 1); cnt.resize(n + 1); for (int j = 0; j < n + 1; ++j) if (!tree_edge[j]) cnt[j] = 1; fill(r.begin(), r.end(), -1); component = nodes = n; } int get(int u) { return r[u] < 0 ? u : r[u] = get(r[u]); } bool is_root(int u) { assert(u >= 0 && r.size()); return u == get(u); } bool join(int u, int v) { u = get(u); v = get(v); if (u == v) return false; if (r[u] > r[v]) swap(u, v); r[u] += r[v]; cnt[u] += cnt[v]; r[v] = u; return true; } bool connected(int u, int v) { return get(u) == get(v); } int build(const vector<pair<int, int>>& edges) { component = nodes; for (const auto& edge : edges) { int u = edge.first; int v = edge.second; if (join(u, v)) { --component; } } for (const auto& edge : edges) { int u = edge.first, v = edge.second; r[u] = r[v] = -1; } return component; } } dsu; int depth[MAX_N]; int parent_edge[MAX_N]; void dfs(int u) { check[u] = true; for (auto& p : adj[u]) if (!check[p.first]) { tree_edge[p.second] = true; int v = p.first; nxt[v] = u; depth[v] = depth[u] + 1; parent_edge[v] = p.second; dfs(v); } } vector<pair<int, int>> edge; void solve() { cin >> n >> m; for (int i = (0), _b = (m); i < _b; ++i) { int u, v; cin >> u >> v; adj[u].push_back({v, i}); adj[v].push_back({u, i}); edge.push_back({u, v}); } for (int i = 1; i <= n; ++i) if (!nxt[i]) { nxt[i] = -1; dfs(i); } dsu.init(m); for (int j = 0; j < m; ++j) if (!tree_edge[j]) { int u = edge[j].first, v = edge[j].second; vector<int> temp; while (u != v) { if (depth[u] < depth[v]) swap(u, v); dsu.join(parent_edge[u], j); temp.push_back(u); u = nxt[u]; } for (auto x : temp) nxt[x] = u; } vector<int> ans; for (int j = 0; j < m; ++j) if (dsu.cnt[dsu.get(j)] == 1 && -dsu.r[dsu.get(j)] >= 3) { ans.push_back(j + 1); } cout << ans.size() << '\n'; for (int x : ans) cout << x << ' '; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); const bool multiple_test = false; int test = 1; if (multiple_test) cin >> test; for (int i = 0; i < test; ++i) { solve(); } }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100010, MAXM = 500010; vector<int> bcc[MAXN]; vector<int> ans[MAXN]; vector<int> ANS; int low[MAXN], dfn[MAXN]; int head[MAXN], to[MAXM], NEXT[MAXM]; int id[MAXM]; int bccno[MAXN]; int sta[MAXN]; bool iscut[MAXN]; int cnt, top, tot = 1; int bcccnt; void make_list(int u, int v, int ID) { NEXT[++tot] = head[u], head[u] = tot, to[tot] = v, id[tot] = ID; } void tarjan(int u, int f) { low[u] = dfn[u] = ++cnt; int ch = 0; for (int p = head[u]; p; p = NEXT[p]) { int v = to[p]; int e = p; if (!dfn[v]) { sta[top++] = e; ch++; tarjan(v, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { iscut[u] = 1, bcc[++bcccnt].clear(); while (1) { int x = sta[--top]; ans[bcccnt].push_back(id[x]); if (bccno[to[x ^ 1]] != bcccnt) bcc[bcccnt].push_back(to[x ^ 1]), bccno[to[x ^ 1]] = bcccnt; if (bccno[to[x]] != bcccnt) bcc[bcccnt].push_back(to[x]), bccno[to[x]] = bcccnt; if (to[x ^ 1] == u && to[x] == v) break; } } } else if (dfn[v] < dfn[u] && v != f) sta[top++] = e, low[u] = min(low[u], dfn[v]); } if (f < 0 && ch == 1) iscut[u] = 0; } int main() { int n, m; int u, v; cin >> n >> m; for (int i = 1; i <= m; i++) scanf("%d%d", &u, &v), make_list(u, v, i), make_list(v, u, i); for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, -1); for (int i = 1; i <= bcccnt; i++) { if (bcc[i].size() == ans[i].size()) for (int j : ans[i]) ANS.push_back(j); } cout << ANS.size() << endl; sort(ANS.begin(), ANS.end()); for (int i : ANS) cout << i << ' '; return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> ans; int tmp, tp, a, b, u, v, n, m, to[500010], deep[500010], nxt[500010], hd[500010], fa[100010], tofa[500010], num = -1, cf[500010]; bool tree[500010], vis[100010], flag; void add(int u, int v) { nxt[++num] = hd[u], to[num] = v, hd[u] = num; nxt[++num] = hd[v], to[num] = u, hd[v] = num; } void dfs1(int pos, int f, int dp) { fa[pos] = f; vis[pos] = 1; deep[pos] = dp; for (int i = hd[pos]; i != -1; i = nxt[i]) { if (!vis[to[i]]) { tofa[to[i]] = i, tree[i] = 1; dfs1(to[i], pos, dp + 1); } } } void dfs(int pos) { vis[pos] = 1; for (int i = hd[pos]; i != -1; i = nxt[i]) { if (tree[i]) dfs(to[i]), cf[pos] += cf[to[i]]; } } int main() { memset(hd, -1, sizeof hd); memset(nxt, -1, sizeof nxt); scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d%d", &a, &b); add(a, b); } for (int i = 1; i <= n; i++) if (!vis[i]) dfs1(i, 0, 1); for (int i = 0; i <= num; i += 2) { if (tree[i] || tree[i + 1]) continue; else u = to[i], v = to[i + 1]; if (deep[u] < deep[v]) swap(u, v); cf[u]++; cf[v]--; } memset(vis, 0, sizeof vis); for (int i = 1; i <= n; i++) if (!vis[i]) dfs(i); for (int i = 0; i <= num; i += 2) { if (tree[i] || tree[i + 1]) continue; else u = to[i], v = to[i + 1]; if (deep[u] < deep[v]) swap(u, v); flag = 0; tmp = u; for (; fa[tmp] != v; tmp = fa[tmp]) { if (cf[tmp] != 1) { flag = 1; break; } } if (!flag && cf[tmp] == 1) { ans.push_back((i + 2) / 2); while (u != v) { ans.push_back((tofa[u] + 2) / 2); u = fa[u]; } } } sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (int i = 0; i < ans.size(); i++) cout << ans[i] << " "; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 15; vector<int> graph[N]; int a[N], b[N]; set<int> bcc[N]; int dfn[N], low[N]; int piv = 1, par[N]; void dfs(int x, int p) { dfn[x] = low[x] = ++piv; par[x] = p; for (int i = 0; i < graph[x].size(); i++) { int id = graph[x][i]; int w = a[id] ^ b[id] ^ x; if (w == p) continue; if (!dfn[w]) { dfs(w, x); low[x] = min(low[x], low[w]); } else { low[x] = min(low[x], dfn[w]); } } } map<pair<int, int>, int> G; bool ban[N], vis[N]; int cpiv = 1, maxi[N]; vector<int> Edge[N]; void color(int x, int c) { if (c > 0) bcc[x].insert(c); vis[x] = 1; pair<int, int> temp; for (int i = 0; i < graph[x].size(); i++) { int id = graph[x][i]; int w = a[id] ^ b[id] ^ x; if (vis[w]) { continue; } if (dfn[x] <= low[w]) { bcc[x].insert(++cpiv); color(w, cpiv); } else { color(w, c); } } } int main() { int n, m, x, y; scanf("%d%d", &n, &m); for (int i = 1; i <= m; ++i) { scanf("%d%d", &a[i], &b[i]); graph[a[i]].push_back(i); graph[b[i]].push_back(i); } for (int i = 1; i <= n; ++i) if (!dfn[i]) dfs(i, 0); for (int i = 1; i <= n; ++i) { if (!vis[i]) color(i, 0); } vector<int> ret; for (int i = 1; i <= n; ++i) { if (bcc[i].size() == 1) { int color = *bcc[i].begin(); for (int j = 0; j < graph[i].size(); ++j) { int id = graph[i][j]; int w = a[id] ^ b[id] ^ i; if (bcc[w].count(color) && (bcc[w].size() >= 2 || (bcc[w].size() == 1 && i < w))) { pair<int, int> temp = make_pair(w, color); int C = ++G[temp]; maxi[color] = max(maxi[color], C); temp = make_pair(i, color); C = ++G[temp]; maxi[color] = max(maxi[color], C); Edge[color].push_back(id); } } } else { } } for (int i = 1; i <= n; ++i) { if (bcc[i].size() == 1) continue; for (int j = 0; j < graph[i].size(); ++j) { int id = graph[i][j]; int w = a[id] ^ b[id] ^ i; if (bcc[w].size() >= 2 && (bcc[w].size() > bcc[i].size() || (bcc[w].size() == bcc[i].size() && w < i))) { bool is = 0; for (auto it = bcc[i].begin(); it != bcc[i].end(); ++it) if (bcc[w].count(*it)) { int color = *it; pair<int, int> temp = make_pair(w, color); int C = ++G[temp]; maxi[color] = max(maxi[color], C); temp = make_pair(i, color); C = ++G[temp]; maxi[color] = max(maxi[color], C); Edge[color].push_back(id); } } } } for (int i = 1; i <= cpiv; ++i) { if (maxi[i] == 2) { for (int j = 0; j < Edge[i].size(); ++j) ret.push_back(Edge[i][j]); } } sort(ret.begin(), ret.end()); cout << ret.size() << endl; for (int i = 0; i < ret.size(); ++i) printf("%d ", ret[i]); cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; void load() {} const int N = 1e5 + 123; int lab[N], pr[N], dep[N], sz[N], l[N], r[N]; vector<int> ed[N]; map<int, int> Map[N], Map1[N]; bool vis[N]; int Findset(int u) { return (u == lab[u]) ? u : lab[u] = Findset(lab[u]); } void dfs(int u, int p) { vis[u] = 1; for (int v : ed[u]) { if (v == p) continue; if (!vis[v]) { Map1[u][v] = v; Map1[v][u] = v; dep[v] = dep[u] + 1; pr[v] = u; dfs(v, u); } else { int tmp = u; if (dep[tmp] > dep[v]) ++sz[Findset(tmp)], Map[v][u] = u, Map[u][v] = u; tmp = Findset(tmp); while (dep[tmp] > dep[v]) { int l = Findset(tmp), r = Findset(pr[tmp]); if (dep[pr[tmp]] > dep[v]) lab[l] = r, sz[r] += sz[l]; tmp = r; } } } } void trungtt() { int n, m; scanf("%d%d", &n, &m); for (int i = 1; i <= m; ++i) { int u, v; scanf("%d%d", &u, &v); ed[u].push_back(v), ed[v].push_back(u); Map[u][v] = Map[v][u] = -1; l[i] = u, r[i] = v; } for (int i = 1; i <= n; ++i) lab[i] = i; for (int i = 1; i <= n; ++i) if (!vis[i]) dfs(i, 0); vector<int> ans; for (int i = 1; i <= m; ++i) { int u = l[i], v = r[i]; if (Map[u][v] != -1 && sz[Findset(Map[u][v])] == 1) ans.push_back(i); if (Map[u][v] == -1 && sz[Findset(Map1[u][v])] == 1) ans.push_back(i); } printf("%d\n", (int)ans.size()); for (int v : ans) printf("%d ", v); } int main() { load(); trungtt(); return 0; }
#include <bits/stdc++.h> using namespace std; struct node { int to, id; node *nxt; } edges[100000 * 2 + 5]; node *ncnt = &edges[0], *Adj[100000 + 5]; int n, m; int fro[100000 + 5], to[100000 + 5]; int dfn[100000 + 5], low[100000 + 5], tcnt = 0; stack<int> sta; set<int> st; vector<int> need, ans; void AddEdge(int u, int v, int id) { node *p = ++ncnt; p->to = v; p->id = id; p->nxt = Adj[u]; Adj[u] = p; node *q = ++ncnt; q->to = u; q->id = id; q->nxt = Adj[v]; Adj[v] = q; } void Tarjan(int u, int fa) { dfn[u] = low[u] = ++tcnt; for (node *p = Adj[u]; p != NULL; p = p->nxt) { int v = p->to; if (dfn[v] == 0) { sta.push(p->id); Tarjan(v, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { int tp; st.clear(); need.clear(); do { tp = sta.top(); sta.pop(); st.insert(fro[tp]); st.insert(to[tp]); need.push_back(tp); } while (sta.empty() == false && (fro[tp] != fro[p->id] || to[tp] != to[p->id])); if (st.size() == need.size()) for (int i = 0; i < (int)need.size(); i++) ans.push_back(need[i]); } } else if (v != fa) { if (dfn[u] > dfn[v]) sta.push(p->id); low[u] = min(low[u], dfn[v]); } } } int main() { scanf("%d %d", &n, &m); int u, v; for (int i = 1; i <= m; i++) { scanf("%d %d", &u, &v); AddEdge(u, v, i); fro[i] = u, to[i] = v; } for (int i = 1; i <= n; i++) if (dfn[i] == 0) Tarjan(i, -1); printf("%d\n", (int)ans.size()); sort(ans.begin(), ans.end()); for (int i = 0; i < (int)ans.size(); i++) if (i == 0) printf("%d", ans[i]); else printf(" %d", ans[i]); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; vector<vector<int>> g; vector<vector<int>> vg, gv; vector<int> st, tt; int dfs(int id, int p, int t) { st.push_back(id); int v, e, r = tt[id] = t; for (int n : g[id]) if (n != p) { if (~tt[n]) { r = min(v = tt[n], r); continue; } r = min(v = dfs(n, id, t + 1), r); if (v == tt[n] || v == tt[n] - 1) { int gr = gv.size(); gv.push_back(vector<int>()); do { e = st.back(); st.pop_back(); gv[gr].push_back(e); vg[e].push_back(gr); } while (e != n); e = id; gv[gr].push_back(e); vg[e].push_back(gr); } } return r; } void get2Components() { int N = g.size(); vg = vector<vector<int>>(N); gv = vector<vector<int>>(); tt = vector<int>(N, -1); for (int i = 0; i < N; ++i) { if (tt[i] == -1) { dfs(i, i, 0); } } } struct Edge { int f, t, id, group; bool operator<(const Edge &e) const { return id < e.id; } }; int findSame(vector<int> &a, vector<int> &b) { int ai = 0, bi = 0; while (ai != a.size() && bi != b.size()) { if (a[ai] < b[bi]) { ai++; } else if (a[ai] > b[bi]) { bi++; } else { return a[ai]; } } assert(false); } int main() { ios::sync_with_stdio(false); int N, M; scanf("%d%d", &N, &M); g = vector<vector<int>>(N); vector<Edge> e; for (int i = (0); i < (int)(M); ++i) { int a, b; scanf("%d%d", &a, &b); a--; b--; g[a].push_back(b); g[b].push_back(a); e.push_back({a, b, i}); } get2Components(); vector<int> ge(gv.size()); for (Edge &el : e) { int group = findSame(vg[el.f], vg[el.t]); ge[group]++; el.group = group; } vector<int> good(gv.size(), 0); for (int i = 0; i < gv.size(); ++i) { good[i] = ge[i] == gv[i].size(); } vector<Edge> res; for (Edge &el : e) { if (good[el.group]) { res.push_back(el); } } printf("%d\n", (int)res.size()); for (Edge n : res) { printf("%d ", n.id + 1); } printf("\n"); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O3") using namespace std; struct BccVertex { int n, nScc, step, dfn[101010], low[101010]; vector<int> E[101010], sccv[101010]; int top, stk[101010]; void init(int _n) { n = _n; nScc = step = 0; for (int i = 1; i <= n; i++) E[i].clear(); } void add_edge(int u, int v) { E[u].push_back(v); E[v].push_back(u); } void DFS(int u, int f) { dfn[u] = low[u] = step++; stk[top++] = u; for (auto v : E[u]) { if (v == f) continue; if (dfn[v] == -1) { DFS(v, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { int z; sccv[nScc].clear(); do { z = stk[--top]; sccv[nScc].push_back(z); } while (z != v); sccv[nScc].push_back(u); nScc++; } } else { low[u] = min(low[u], dfn[v]); } } } vector<vector<int>> solve() { vector<vector<int>> res; for (int i = 1; i <= n; i++) { dfn[i] = low[i] = -1; } for (int i = 1; i <= n; i++) { if (dfn[i] == -1) { top = 0; DFS(i, i); } } for (int i = 0; i < nScc; i++) res.push_back(sccv[i]); return res; } } graph; int n, m; map<pair<int, int>, int> id; unordered_set<int> S[101010]; bool on[101010]; void solve() { vector<vector<int>> ret = graph.solve(); for (auto&& i : ret) { int sz = i.size(); vector<int> eid; if ((long long)sz * sz < 101010) { for (size_t j = 0; j < i.size(); j++) for (size_t k = j + 1; k < i.size(); k++) if (S[i[j]].find(i[k]) != S[i[j]].end()) eid.push_back(id[{i[j], i[k]}]); } else { unordered_set<int> cur; for (auto ii : i) cur.insert(ii); for (auto ii : i) { for (auto j : S[ii]) if (cur.find(j) != cur.end()) eid.push_back(id[{ii, j}]); } sort(eid.begin(), eid.end()); eid.resize(unique(eid.begin(), eid.end()) - eid.begin()); } if (eid.size() == i.size()) { for (auto j : eid) on[j] = true; } } vector<int> ans; for (int i = 1; i <= m; i++) if (on[i]) ans.push_back(i); printf("%d\n", (int)ans.size()); for (auto x : ans) printf("%d ", x); puts(""); } int main() { scanf("%d%d", &n, &m); graph.init(n); for (int i = 1; i <= m; i++) { int ui, vi; scanf("%d%d", &ui, &vi); graph.add_edge(ui, vi); S[ui].insert(vi); S[vi].insert(ui); id[{ui, vi}] = id[{vi, ui}] = i; } solve(); }
#include <bits/stdc++.h> using namespace std; const int N = 100100; const int M = 100100; namespace BCC { int vcompNum, ecompNum, I, m; int first[N], low[N], vis[N], ecomp[N]; int nxt[2 * M], ep[2 * M], vcomp[2 * M]; stack<int> edges, verts; void init() { m = 0; memset(first, -1, sizeof(first)); } void add_edge(int a, int b) { nxt[m] = first[ep[m] = a], first[ep[m]] = m, ++m; nxt[m] = first[ep[m] = b], first[ep[m]] = m; ++m; } void biconnected(int u, int par) { int v, E; low[u] = vis[u] = ++I; verts.push(u); for (int e = first[u]; e != -1; e = nxt[e]) { v = ep[e ^ 1]; if (!vis[v]) { edges.push(e); biconnected(v, e); low[u] = min(low[u], low[v]); if (vis[u] <= low[v]) { do { E = edges.top(); edges.pop(); vcomp[E] = vcomp[E ^ 1] = vcompNum; } while (e != E && e != (E ^ 1)); ++vcompNum; } } else if (vis[v] < vis[u] && e != (par ^ 1)) { low[u] = min(low[u], vis[v]); edges.push(e); } else if (v == u) vcomp[e] = vcomp[e ^ 1] = vcompNum++; } if (vis[u] <= low[u]) { do { v = verts.top(); verts.pop(); ecomp[v] = ecompNum; } while (v != u); ++ecompNum; } } void get_bcc(int n) { memset(vis, 0, sizeof vis); vcompNum = ecompNum = I = 0; for (int i = 0; i < n; ++i) if (!vis[i]) biconnected(i, -1); } bool isCutVertex(int u) { for (int e = first[u]; e != -1; e = nxt[e]) if (vcomp[e] != vcomp[first[u]]) return true; return false; } bool isCutEdge(int e) { return ecomp[ep[e]] != ecomp[ep[e ^ 1]]; } } // namespace BCC int ecount[N]; int esz[N]; unordered_set<int> cont[N]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, m; cin >> n >> m; BCC::init(); vector<pair<int, int>> e; for (int i = 1; i <= m; ++i) { int a, b; cin >> a >> b; e.emplace_back(a, b); BCC::add_edge(a, b); } BCC::get_bcc(n + 1); for (int i = 0; i < m * 2; i += 2) { ++esz[BCC::vcomp[i]]; cont[BCC::vcomp[i]].insert(e[i / 2].first); cont[BCC::vcomp[i]].insert(e[i / 2].second); } for (int i = 0; i < BCC::vcompNum; ++i) { ecount[i] = cont[i].size(); } vector<int> g; for (int i = 0; i < m; ++i) { auto [a, b] = e[i]; if (ecount[BCC::vcomp[i * 2]] == esz[BCC::vcomp[i * 2]]) { g.push_back(i + 1); } } cout << g.size() << endl; for (auto& x : g) { cout << x << " "; } cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 5; map<pair<int, int>, int> M; int root; int root_children; set<int> adj[N]; vector<int> toRemove[N]; int dfs_num[N], dfs_low[N], is_arti[N]; vector<int> T; void dfs(int v, int p, int &k) { T.push_back(v); dfs_num[v] = dfs_low[v] = ++k; if (p == root) root_children++; for (auto it : adj[v]) { if (it == p) continue; if (dfs_num[it] == 0) { dfs(it, v, k); if (dfs_low[it] >= dfs_num[v]) is_arti[v] = 1; if (dfs_low[it] > dfs_num[v]) { toRemove[v].push_back(it); toRemove[it].push_back(v); } dfs_low[v] = min(dfs_low[v], dfs_low[it]); } else { dfs_low[v] = min(dfs_low[v], dfs_num[it]); } } } int U[N], V[N], disc[N], low[N], comp[N]; vector<int> g[N]; int tym; bool is_bridge[N]; int adj2(int src, int edgeid) { return U[edgeid] ^ V[edgeid] ^ src; } void tarjan(int src, int par_edge) { ++tym; disc[src] = low[src] = tym; for (int i = 0; i < (int)g[src].size(); ++i) { int edgeid = g[src][i]; int to = adj2(src, edgeid); if (edgeid != par_edge) { if (!disc[to]) { tarjan(to, edgeid); low[src] = min(low[src], low[to]); if (low[to] > disc[src]) is_bridge[edgeid] = 1; } else { low[src] = min(low[src], disc[to]); } } } } int ec = 0; pair<int, int> vis[N], vedge[N]; map<pair<int, int>, int> VF, EF; map<pair<int, int>, int> hasAdded; void arti_dfs(int v, int p, int k) { for (auto it : adj[v]) { if (it == p) continue; int eid = M[make_pair(v, it)]; if (vedge[eid].first) { vedge[eid].second = k; EF[vedge[eid]]++; } else vedge[eid].first = k; if (is_arti[it]) { if (it == k) continue; int x = k, y = it; if (hasAdded[make_pair(x, y)]) continue; hasAdded[make_pair(x, y)] = hasAdded[make_pair(y, x)] = 1; ec++; U[ec] = x, V[ec] = y; g[x].push_back(ec); g[y].push_back(ec); is_bridge[ec] = 0; continue; } if (vis[it].first != k and vis[it].second != k) { if (vis[it].first) vis[it].second = k; else vis[it].first = k; arti_dfs(it, v, k); } } } map<pair<int, int>, int> ok; vector<int> ans; int main() { ios::sync_with_stdio(0); cin.tie(0); int n, m; cin >> n >> m; for (int i = 1; i <= m; i++) { int a, b; cin >> a >> b; adj[a].insert(b), adj[b].insert(a); M[make_pair(a, b)] = M[make_pair(b, a)] = i; } int k = 0; for (int i = 1; i <= n; i++) { if (dfs_num[i] == 0) { T.clear(); dfs(i, 0, k); for (auto v : T) { for (auto it : toRemove[v]) { adj[v].erase(it); } toRemove[v].clear(); } } } memset(dfs_num, 0, sizeof dfs_num); memset(dfs_low, 0, sizeof dfs_low); memset(is_arti, 0, sizeof is_arti); k = 0; for (int i = 1; i <= n; i++) { if (dfs_num[i] == 0) { T.clear(); root = i, root_children = 0; dfs(i, 0, k); is_arti[i] = (root_children > 1); for (auto v : T) { assert(toRemove[v].empty()); } ec = 0; for (auto it : T) { if (is_arti[it]) { arti_dfs(it, 0, it); } } for (auto it : T) { if (not is_arti[it] and not vis[it].second) { is_arti[it] = 1; arti_dfs(it, 0, it); } } for (auto it : T) { if (is_arti[it] and not disc[it]) { tarjan(it, 0); } } for (auto it : T) { if (vis[it].second) VF[vis[it]]++; } for (int i = 1; i <= ec; i++) { if (is_bridge[i]) { auto itl = make_pair(U[i], V[i]); auto itr = make_pair(V[i], U[i]); if (VF[itl] + 2 == EF[itl]) ok[itl] = 1; else if (VF[itr] + 2 == EF[itr]) ok[itr] = 1; } } } } for (int i = 1; i <= m; i++) { if (ok[vedge[i]]) ans.push_back(i); } cout << ans.size() << "\n"; for (auto it : ans) { cout << it << " "; } cout << "\n"; return 0; }
#include <bits/stdc++.h> #pragma GCC optimize(3, "inline", "Ofast") using namespace std; vector<int> ans; int n, m, to[500010], deep[500010]; int nxt[500010], hd[500010], fa[100010], tofa[500010], num = -1, cf[500010]; bool tree[500010], vis[100010]; void add(int u, int v) { nxt[++num] = hd[u]; to[num] = v; hd[u] = num; nxt[++num] = hd[v]; to[num] = u; hd[v] = num; } void dfs1(int pos, int f, int dp) { fa[pos] = f; vis[pos] = 1; deep[pos] = dp; for (int i = hd[pos]; i != -1; i = nxt[i]) if (!vis[to[i]]) { tofa[to[i]] = i, tree[i] = 1; dfs1(to[i], pos, dp + 1); } return; } void dfs(int pos) { vis[pos] = 1; for (int i = hd[pos]; i != -1; i = nxt[i]) if (tree[i]) { dfs(to[i]); cf[pos] += cf[to[i]]; } return; } int main() { memset(hd, -1, sizeof hd); memset(nxt, -1, sizeof nxt); scanf("%d%d", &n, &m); for (int i = 1, a, b; i <= m; i++) { scanf("%d%d", &a, &b); add(a, b); } for (int i = 1; i <= n; i++) if (!vis[i]) dfs1(i, 0, 1); for (int i = 0, u, v; i <= num; i += 2) { if (tree[i] || tree[i + 1]) continue; else u = to[i], v = to[i + 1]; if (deep[u] < deep[v]) swap(u, v); cf[u]++; cf[v]--; } memset(vis, 0, sizeof vis); for (int i = 1; i <= n; i++) if (!vis[i]) dfs(i); for (int i = 0, u, v; i <= num; i += 2) { if (tree[i] || tree[i + 1]) continue; u = to[i], v = to[i + 1]; if (deep[u] < deep[v]) swap(u, v); if ([u, v]() { for (int tmp = u; tmp != v; tmp = fa[tmp]) if (cf[tmp] != 1) return false; return true; }()) { ans.push_back((i + 2) / 2); while (u != v) { ans.push_back((tofa[u] + 2) / 2); u = fa[u]; } } } sort(ans.begin(), ans.end()); std::cout << ans.size() << std::endl; for (const int &e : ans) printf("%d ", e); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; vector<pair<int, int> > g[600001]; bool vis[600001]; vector<int> vbel[600001]; int dfn[600001], low[600001], ebel[600001], dfc, vbcc; int dfs_vbcc(int u, int f) { static int s[600001]; static int t; s[++t] = u; dfn[u] = low[u] = ++dfc; for (pair<int, int> p : g[u]) { int v = p.first, i = p.second; if (vis[i]) continue; vis[i] = 1; s[++t] = -i; if (!dfn[v]) { low[u] = min(low[u], dfs_vbcc(v, i)); if (dfn[u] <= low[v]) { for (++vbcc; s[t + 1] != -i; --t) s[t] > 0 ? vbel[s[t]].push_back(vbcc), 0 : ebel[-s[t]] = vbcc; vbel[u].push_back(vbcc); } } else low[u] = min(low[u], dfn[v]); } return low[u]; } void tarjan_vbcc(int n, int m) { dfc = vbcc = 0; fill_n(vis + 1, m, 0); fill_n(ebel + 1, m, 0); fill_n(dfn + 1, n, 0); for (int u = 1; u <= n; ++u) vbel[u].resize(0); for (int u = 1; u <= n; ++u) if (!dfn[u]) dfs_vbcc(u, 0); } int ew[600001], vcnt[600001], ecnt[600001]; vector<int> ansv[600001]; int main(void) { ios::sync_with_stdio(0); cin.tie(0); int n, m; cin >> n >> m; for (int i = 1; i <= m; ++i) { int u, v; cin >> u >> v; g[u].emplace_back(v, i); g[v].emplace_back(u, i); } tarjan_vbcc(n, m); for (int i = 1; i <= n; ++i) for (int b : vbel[i]) vcnt[b]++; for (int i = 1; i <= m; ++i) ecnt[ebel[i]]++, ansv[ebel[i]].push_back(i); vector<int> ans; ans.reserve(m); for (int i = 1; i <= vbcc; ++i) if (vcnt[i] == ecnt[i]) ans.insert(ans.end(), ansv[i].begin(), ansv[i].end()); sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (int ei : ans) cout << ei << ' '; cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e5 + 5; int low[maxn], tim[maxn], now_time, iscut[maxn], belong[maxn], bcc_cnt, nodecnt[maxn], bccno[maxn], mark[maxn]; int n, m; vector<int> vec[maxn], vt[maxn], ans; struct edge { int u, v; edge() {} edge(int uu, int vv) : u(uu), v(vv) {} } ed[maxn]; void init() { for (int i = 1; i <= n; i++) { vec[i].clear(); vt[i].clear(); } ans.clear(); memset(low, 0, sizeof(low)); memset(tim, 0, sizeof(tim)); memset(belong, 0, sizeof(belong)); memset(iscut, 0, sizeof(iscut)); memset(nodecnt, 0, sizeof(nodecnt)); memset(bccno, 0, sizeof(bccno)); memset(mark, 0, sizeof(mark)); now_time = bcc_cnt = 0; } stack<int> s; void tarjan(int o, int fa) { tim[o] = low[o] = ++now_time; int child = 0; for (int i = 0; i < vec[o].size(); i++) { int tmp = ed[vec[o][i]].v; if (mark[vec[o][i]]) continue; mark[vec[o][i]] = mark[vec[o][i] ^ 1] = 1; s.push(vec[o][i]); if (!tim[tmp]) { child++; tarjan(tmp, o); low[o] = min(low[o], low[tmp]); if (low[tmp] >= tim[o]) { iscut[o] = 1; ++bcc_cnt; while (1) { int t = s.top(); s.pop(); if (bccno[ed[t].u] != bcc_cnt) { bccno[ed[t].u] = bcc_cnt; nodecnt[bcc_cnt]++; } if (bccno[ed[t].v] != bcc_cnt) { bccno[ed[t].v] = bcc_cnt; nodecnt[bcc_cnt]++; } belong[(t >> 1) + 1] = bcc_cnt; if (vec[o][i] == t) break; } } } else low[o] = min(tim[tmp], low[o]); } if (child == 1 && fa < 0) iscut[o] = 0; } int main(void) { while (scanf("%d%d", &n, &m) != EOF) { init(); for (int i = 0; i < 2 * m; i += 2) { int u, v; scanf("%d%d", &u, &v); ed[i] = edge(u, v); ed[i + 1] = edge(v, u); vec[u].push_back(i); vec[v].push_back(i + 1); } for (int i = 1; i <= n; i++) if (!tim[i]) tarjan(i, -1); for (int i = 1; i <= m; i++) { vt[belong[i]].push_back(i); } for (int i = 1; i <= bcc_cnt; i++) { if (nodecnt[i] == vt[i].size()) { for (int j = 0; j < vt[i].size(); j++) ans.push_back(vt[i][j]); } } sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) printf("%d%c", ans[i], i == ans.size() - 1 ? '\n' : ' '); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100500; int parent[maxn], sz[maxn], lev[maxn], p[maxn], cp[maxn], id[maxn], sz_c[maxn], ed[maxn]; bool in[maxn]; vector<pair<int, int> > g[maxn]; vector<pair<pair<int, int>, int> > back_ed; int find_set(int v) { if (v == parent[v]) return v; return parent[v] = find_set(parent[v]); } void make_set(int v) { parent[v] = v; sz[v] = 1; } void union_sets(int a, int b) { a = find_set(a); b = find_set(b); if (a != b) { if (sz[a] < sz[b]) swap(a, b); parent[b] = a; sz[a] += sz[b]; } } void init(int u, int par = 0, int lvl = 0, int edge = -1) { lev[u] = lvl; p[u] = cp[u] = par; ed[u] = edge; in[u] = true; for (auto v : g[u]) { if (v.first == par) continue; if (p[v.first] == -1) init(v.first, u, lvl + 1, v.second); else if (in[v.first]) back_ed.push_back({{u, v.first}, v.second}); } in[u] = false; } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; for (int i = 0; i < m; ++i) { int u, v; cin >> u >> v; --u; --v; g[u].push_back({v, i + 1}); g[v].push_back({u, i + 1}); } for (int i = 0; i < n; ++i) p[i] = id[i] = -1; for (int i = 0; i < n; ++i) if (p[i] == -1) init(i); for (int i = 0; i < (int)back_ed.size(); ++i) make_set(i); for (int i = 0; i < (int)back_ed.size(); ++i) { int u, v; tie(u, v) = back_ed[i].first; int cur = u; while (lev[cur] > lev[v]) { if (id[cur] == -1) id[cur] = i; else union_sets(id[cur], i); int tmp = cur; cur = p[cur]; p[tmp] = v; } } for (int i = 0; i < (int)back_ed.size(); ++i) sz_c[find_set(i)]++; vector<int> ans; for (int i = 0; i < (int)back_ed.size(); ++i) if (sz_c[find_set(i)] == 1) { int u, v; tie(u, v) = back_ed[i].first; ans.push_back(back_ed[i].second); int cur = u; while (cur != v) { ans.push_back(ed[cur]); cur = cp[cur]; } } cout << (int)ans.size() << '\n'; sort(ans.begin(), ans.end()); for (auto e : ans) cout << e << ' '; cout << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100006; vector<int> G[N]; int e[N]; int x[N], y[N]; bool vis[N]; int low[N]; int depth[N]; vector<int> ans; vector<int> bcc[N]; int bcc_cnt; stack<int> sta; int dfs_clock; void dfs(int now, int par) { vis[now] = true; depth[now] = low[now] = (++dfs_clock); for (int ii : G[now]) { int i = (e[ii] ^ now); if (i == par) continue; if (!vis[i]) { sta.push(ii); dfs(i, now); low[now] = min(low[now], low[i]); if (low[i] >= depth[now]) { ++bcc_cnt; while (!sta.empty()) { int t = sta.top(); sta.pop(); bcc[bcc_cnt].push_back(t); if (t == ii) break; } } } else if (vis[i] && depth[i] < depth[now]) { sta.push(ii); low[now] = min(low[now], depth[i]); } } } void go(int root) { dfs(root, root); } int main() { int n, m; scanf("%d %d", &n, &m); for (int i = 1; m >= i; i++) { scanf("%d %d", &x[i], &y[i]); e[i] = (x[i] ^ y[i]); G[x[i]].push_back(i); G[y[i]].push_back(i); } for (int i = 1; n >= i; i++) { if (!vis[i]) go(i); } for (int i = 1; bcc_cnt >= i; i++) { set<int> st; for (int j : bcc[i]) { st.insert(x[j]); st.insert(y[j]); } if ((int)st.size() == (int)bcc[i].size()) { for (int j : bcc[i]) { ans.push_back(j); } } } sort(ans.begin(), ans.end()); printf("%d\n", (int)ans.size()); for (int i = 0; (int)ans.size() > i; i++) { if (i) printf(" "); printf("%d", ans[i]); } puts(""); }
#include <bits/stdc++.h> using namespace std; bool ind[100009]; int n, m, hd[100009], cnt, ans[100009], sa; int dfn[100009], low[100009], sd, q[100009], sq, L[100009], sl; struct Edge { int to, nxt, i; } edge[100009 << 1]; int read(); void add(int u, int v, int i) { edge[++cnt] = (Edge){v, hd[u], i}; hd[u] = cnt; edge[++cnt] = (Edge){u, hd[v], i}; hd[v] = cnt; } void Tarjan(int u) { dfn[u] = low[u] = ++sd; q[++sq] = u; for (int i = hd[u], v; i; i = edge[i].nxt) { int NL = sl; if (!ind[edge[i].i]) { L[++sl] = edge[i].i; ind[edge[i].i] = true; } if (!dfn[v = edge[i].to]) { Tarjan(v); low[u] = (low[u]) < (low[v]) ? (low[u]) : (low[v]); if (low[v] == dfn[u]) { int sum = 1; while (q[sq + 1] != v) ++sum, --sq; if (sum != sl - NL) while (sl > NL) --sl; else while (sl > NL) ans[++sa] = L[sl--]; } } else low[u] = (low[u]) < (dfn[v]) ? (low[u]) : (dfn[v]); } } int main() { n = read(), m = read(); for (int i = 1, u, v; i <= m; ++i) u = read(), v = read(), add(u, v, i); for (int i = 1; i <= n; ++i) if (!dfn[i]) Tarjan(i); sort(ans + 1, ans + 1 + sa); printf("%d\n", sa); for (int i = 1; i <= sa; ++i) printf("%d ", ans[i]); puts(""); return 0; } int read() { int x = 0, f = 1; char c = getchar(); while (c > '9' || c < '0') f = (c == '-') ? -1 : f, c = getchar(); while (c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar(); return x * f; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 10, M = 2e6 + 10; int head[N], ver[M], nxt[M], tot = 1; void add(int x, int y) { ver[++tot] = y; nxt[tot] = head[x]; head[x] = tot; } int st[N], low[N], cnt = 0, num = 0, dfn[N], rt, top, st1[N], top1; bool cut[N]; vector<int> dcc[N]; int col[N]; int c[N]; set<int> v[N], e[N]; void tarjan(int x, int fa) { dfn[x] = low[x] = ++num; int c = 0; for (int i = head[x]; i; i = nxt[i]) { int y = ver[i]; if (!dfn[y]) { st[++top] = x; st[++top] = y; st[++top] = i / 2; tarjan(y, x); low[x] = min(low[x], low[y]); if (low[y] >= dfn[x]) { c++; if (x != rt || c > 1) cut[x] = 1; cnt++; while (1) { int pos = st[top--], V = st[top--], U = st[top--]; v[cnt].insert(U); v[cnt].insert(V); e[cnt].insert(pos); if (x == U && V == y) break; } } } else if (dfn[y] < dfn[x] && y != fa) { low[x] = min(low[x], dfn[y]); st[++top] = x; st[++top] = y; st[++top] = i / 2; } } } int main() { int n, m; scanf("%d %d", &n, &m); for (int i = 1; i <= m; i++) { int x, y; scanf("%d %d", &x, &y); add(x, y); add(y, x); } for (int i = 1; i <= n; i++) if (!dfn[i]) { rt = i; tarjan(i, 0); } int ans = 0; set<int> Ans; for (int i = 1; i <= cnt; i++) if (e[i].size() == v[i].size()) for (set<int>::iterator it = e[i].begin(); it != e[i].end(); it++) Ans.insert(*it); printf("%d\n", (int)Ans.size()); for (set<int>::iterator it = Ans.begin(); it != Ans.end(); it++) printf("%d ", *it); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100005; vector<pair<int, int> > son[N]; vector<int> bcc_node[N], bcc_edge[N], ans; stack<pair<pair<int, int>, int> > s; int bcc_cnt, belong[N], is_cnt[N], now_time, dfn[N], low[N]; void dfs(int o, int fa) { dfn[o] = low[o] = ++now_time; int ch = 0; for (int i = 0; i < son[o].size(); ++i) { int v = son[o][i].first; if (v == fa) continue; pair<pair<int, int>, int> edge = {{o, v}, son[o][i].second}; if (!dfn[v]) { s.push(edge); dfs(v, o); low[o] = min(low[o], low[v]); if (low[v] >= dfn[o]) { ch++, is_cnt[o] = true; bcc_node[++bcc_cnt].clear(); bcc_edge[bcc_cnt].clear(); while (true) { pair<pair<int, int>, int> now = s.top(); s.pop(); bcc_edge[bcc_cnt].push_back(now.second); if (belong[now.first.first] != bcc_cnt) belong[now.first.first] = bcc_cnt, bcc_node[bcc_cnt].push_back(now.first.first); if (belong[now.first.second] != bcc_cnt) belong[now.first.second] = bcc_cnt, bcc_node[bcc_cnt].push_back(now.first.second); if (now.first.first == o && now.first.second == v) break; } } } else if (dfn[v] < dfn[o]) { s.push(edge); low[o] = min(dfn[v], low[o]); } } if (!fa && ch == 1) is_cnt[o] = false; } int main() { int n, m; int u, v; scanf("%d%d", &n, &m); for (int i = 1; i <= m; ++i) { scanf("%d%d", &u, &v); son[u].push_back(make_pair(v, i)); son[v].push_back(make_pair(u, i)); } for (int i = 1; i <= n; ++i) if (!dfn[i]) dfs(i, 0); int tot = 0; set<int> as; for (int i = 1; i <= bcc_cnt; ++i) { if (bcc_node[i].size() == bcc_edge[i].size()) { for (int j = 0; j < bcc_node[i].size(); ++j) as.insert(bcc_edge[i][j]), tot++; } } printf("%d\n", tot); for (int i : as) printf("%d ", i); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 202020; int n, m, tot; int V[N], E[N]; vector<int> g[N], e[N]; namespace DCC { const int N = ::N; vector<int> key, dcc[N]; int dfn[N], low[N], st[N], _st, _; void dfs(int c, int dep, const vector<int> g[]) { int cc = 0, out = 1 < dep; st[_st++] = c; dfn[c] = low[c] = dep; for (auto t : g[c]) if (!dfn[t]) { dfs(t, dep + 1, g); low[c] = min(low[c], low[t]); if (low[t] >= dfn[c]) { if (++out == 2) key.push_back(c); while (st[--_st] != t) dcc[st[_st]].push_back(_); dcc[c].push_back(_); dcc[t].push_back(_++); } } else if (dfn[t] != dfn[c] - 1 || cc++) low[c] = min(low[c], dfn[t]); } int solve(int n, const vector<int> g[]) { fill_n(dfn, n, _ = 0); fill_n(low, n, _st = 0); fill_n(dcc, n, key = vector<int>()); for (int i = (0); i < (n); ++i) if (!dfn[i]) dfs(i, 1, g); for (int i = (0); i < (n); ++i) if ((int)dcc[i].size() == 0) dcc[i].push_back(_++); return _; } } // namespace DCC void add(int u, int v) { --u, --v; g[u].push_back(v), g[v].push_back(u); } int main() { std::ios::sync_with_stdio(0); std::cin.tie(0); cin >> n >> m; for (int i = (1); i < (m + 1); ++i) { int u, v; cin >> u >> v; add(u, i + n); add(v, i + n); } tot = DCC::solve(n + m, g); for (int i = (0); i < (n + m); ++i) { for (auto t : DCC::dcc[i]) { if (i < n) { ++V[t]; } else { ++E[t]; e[t].push_back(i - n + 1); } } } vector<int> ans; for (int i = (0); i < (tot); ++i) if (V[i] == E[i]) { if (V[i] == 1) continue; for (auto u : e[i]) ans.push_back(u); } sort(ans.begin(), ans.end()); cout << (int)ans.size() << "\n"; for (int i = (0); i < ((int)ans.size()); ++i) cout << ans[i] << " \n"[i == (int)ans.size() - 1]; return 0; }
#include <bits/stdc++.h> using namespace ::std; const long long maxn = 2e5 + 500; const long long mod = 1e9 + 7; const long long inf = 1e9 + 500; vector<long long> ger[maxn]; pair<long long, long long> yal[maxn]; bool vis[maxn]; long long s[maxn]; vector<long long> backe; long long par[maxn]; long long epar[maxn]; long long h[maxn]; void dfs(long long a) { vis[a] = 1; for (auto e : ger[a]) { long long v = yal[e].first ^ yal[e].second ^ a; if (vis[v]) { if (h[v] < h[a] && abs(h[a] - h[v]) != 1) { backe.push_back(e); s[a]++; s[v]--; } } else { par[v] = a; epar[v] = e; h[v] = h[a] + 1; dfs(v); } } } void dfs_pr(long long a) { vis[a] = 1; for (auto e : ger[a]) { long long v = yal[e].first ^ yal[e].second ^ a; if (!vis[v]) { dfs_pr(v); s[a] += s[v]; } } } int main() { long long n, m; cin >> n >> m; for (long long i = 0; i < m; i++) { long long v, u; cin >> v >> u; v--; u--; ger[u].push_back(i); ger[v].push_back(i); yal[i] = make_pair(v, u); } for (long long i = 0; i < n; i++) { if (vis[i] == 0) { h[i] = 1; dfs(i); } } fill(vis, vis + maxn, 0); for (long long i = 0; i < n; i++) { if (vis[i] == 0) { dfs_pr(i); } } fill(vis, vis + maxn, 0); for (long long i = 0; i < n; i++) { if (s[i] != 1) { s[i] = 0; } } vector<long long> ans; for (auto e : backe) { long long v = yal[e].first; long long u = yal[e].second; if (h[v] < h[u]) { swap(v, u); } bool good = 1; while (v != u) { if (!s[v]) { good = 0; break; } v = par[v]; } if (good) { v = yal[e].first; u = yal[e].second; if (h[v] < h[u]) { swap(v, u); } ans.push_back(e); while (v != u) { ans.push_back(epar[v]); v = par[v]; } } } cout << ans.size() << endl; sort(ans.begin(), ans.end()); for (auto e : ans) { cout << e + 1 << ' '; } }
#include <bits/stdc++.h> using namespace std; const int nmax = 1e5; const int inf = 1 << 30; bool viz[nmax + 1], f[nmax + 1]; int h[nmax + 1]; int d[nmax + 1]; int nrc; int noduri[nmax + 1][2]; vector<int> c[nmax + 1]; vector<pair<int, int> > g[nmax + 1]; void dfs(int nod, int mtata) { viz[nod] = 1; d[nod] = inf; for (auto i : g[nod]) { if (i.second != mtata) { if (viz[i.first] == 0) { h[i.first] = h[nod] + 1; dfs(i.first, i.second); d[nod] = min(d[nod], d[i.first]); } else { d[nod] = min(d[nod], h[i.first]); } } } } void comp(int nod, int ind, int mtata) { viz[nod] = 1; for (auto i : g[nod]) { if (viz[i.first] == 0) { if (d[i.first] >= h[nod]) { ++nrc; c[nrc].push_back(i.second); comp(i.first, nrc, i.second); } else { c[ind].push_back(i.second); comp(i.first, ind, i.second); } } else if (i.second != mtata && h[i.first] < h[nod]) { c[ind].push_back(i.second); } } } int main() { int n, m; fscanf(stdin, "%d%d", &n, &m); for (int i = 1; i <= m; ++i) { int x, y; fscanf(stdin, "%d%d", &x, &y); g[x].push_back({y, i}); g[y].push_back({x, i}); noduri[i][0] = x; noduri[i][1] = y; } for (int i = 1; i <= n; ++i) { if (viz[i] == 0) { dfs(i, 0); } } memset(viz, 0, sizeof(viz)); nrc = 0; for (int i = 1; i <= n; ++i) { if (viz[i] == 0) { comp(i, 0, 0); } } vector<int> ans; for (int i = 1; i <= nrc; ++i) { int cnt = 0; sort(c[i].begin(), c[i].end()); c[i].erase(unique(c[i].begin(), c[i].end()), c[i].end()); m -= (int)c[i].size(); for (auto j : c[i]) { for (int k = 0; k < 2; ++k) { int x = noduri[j][k]; if (f[x] == 0) ++cnt; f[x] = 1; } } if (cnt == (int)c[i].size()) { for (auto j : c[i]) ans.push_back(j); } for (auto j : c[i]) { for (int k = 0; k < 2; ++k) { int x = noduri[j][k]; f[x] = 0; } } } assert(m == 0); sort(ans.begin(), ans.end()); fprintf(stdout, "%d\n", (int)ans.size()); for (auto i : ans) fprintf(stdout, "%d ", i); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100010; int n, m, cnt, head[N], dfn[N], dep[N], s[N], f[N], g[N], fa[N]; bool vis[N]; struct edge { int to, next; bool tag; } e[N << 1]; int find(int x) { if (f[x] == x) return x; else return f[x] = find(f[x]); } void add(int u, int v) { e[++cnt].to = v; e[cnt].next = head[u]; head[u] = cnt; } void dfs1(int x, int fu, int d) { vis[x] = 1; dep[x] = d; for (int i = head[x]; i; i = e[i].next) { int v = e[i].to; if (v == fu) continue; if (!vis[v]) fa[v] = x, dfn[v] = i, dfs1(v, x, d + 1); else if (dep[v] < dep[x]) s[x]++, s[v]--; } } void dfs2(int x, int fu) { vis[x] = 1; for (int i = head[x]; i; i = e[i].next) { int v = e[i].to; if (v == fu) continue; if (!vis[v]) dfs2(v, x), s[x] += s[v]; } } void dfs3(int x, int fu) { vis[x] = 1; g[x] = (s[x] > 1) + g[fu]; for (int i = head[x]; i; i = e[i].next) { int v = e[i].to; if (v == fu) continue; if (!vis[v]) dfs3(v, x); else if (dep[v] < dep[x] && g[x] == g[v]) { int y = find(x); e[i].tag = e[i ^ 1].tag = 1; while (dep[y] > dep[v]) { e[dfn[y]].tag = e[dfn[y] ^ 1].tag = 1; f[y] = find(fa[y]); y = find(y); } } } } int main() { ios::sync_with_stdio(0); cin >> n >> m; cnt = 1; for (int i = 1, x, y; i <= m; i++) cin >> x >> y, add(x, y), add(y, x); for (int i = 1; i <= n; i++) if (!vis[i]) dfs1(i, 0, 1); memset(vis, 0, sizeof(vis)); for (int i = 1; i <= n; i++) if (!vis[i]) dfs2(i, 0); memset(vis, 0, sizeof(vis)); for (int i = 1; i <= n; i++) f[i] = i; for (int i = 1; i <= n; i++) if (!vis[i]) dfs3(i, 0); int ans = 0; for (int i = 2; i <= cnt; i += 2) ans += e[i].tag; cout << ans << endl; for (int i = 2; i <= cnt; i += 2) if (e[i].tag) cout << i / 2 << " "; return 0; }
#include <bits/stdc++.h> using namespace std; template <int SZ> struct BCC { int N, ti = 0; vector<int> adj[SZ]; int disc[SZ], low[SZ], comp[SZ], par[SZ]; vector<vector<pair<int, int>>> fin; vector<pair<int, int>> st; void addEdge(int u, int v) { adj[u].push_back(v), adj[v].push_back(u); } void BCCutil(int u) { disc[u] = low[u] = ti++; int child = 0; for (int i : adj[u]) if (i != par[u]) { if (disc[i] == -1) { child++; par[i] = u; st.push_back({u, i}); BCCutil(i); low[u] = min(low[u], low[i]); if ((disc[u] == 0 && child > 1) || (disc[u] != 0 && disc[u] <= low[i])) { vector<pair<int, int>> tmp; while (st.back() != make_pair(u, i)) tmp.push_back(st.back()), st.pop_back(); tmp.push_back(st.back()), st.pop_back(); fin.push_back(tmp); } } else if (disc[i] < disc[u]) { low[u] = min(low[u], disc[i]); st.push_back({u, i}); } } } void bcc() { for (int i = 1; i < N + 1; i++) par[i] = disc[i] = low[i] = -1; for (int i = 1; i < N + 1; i++) if (disc[i] == -1) { BCCutil(i); if (!st.empty()) fin.push_back(st); st.clear(); } } }; const int MAX_N = 100010; int n, m; map<pair<int, int>, int> ed; bool works[MAX_N]; BCC<MAX_N> thing; int main() { ios::sync_with_stdio(0); cin.tie(0); cin >> n >> m; for (int i = 0; i < m; i++) { int a, b; cin >> a >> b; if (a > b) swap(a, b); thing.addEdge(a, b); ed[make_pair(a, b)] = i + 1; } thing.N = n; thing.bcc(); vector<int> res; for (auto v : thing.fin) { set<int> s; for (pair<int, int>& p : v) { if (p.first > p.second) swap(p.first, p.second); s.insert(p.first); s.insert(p.second); } if ((int)s.size() == (int)v.size()) { for (pair<int, int> p : v) works[ed[p]] = 1; } } for (int i = 1; i < m + 1; i++) if (works[i]) res.push_back(i); cout << (int)res.size() << "\n"; for (int i = 0; i < (int)res.size(); i++) { if (i != 0) cout << " "; cout << res[i]; } cout << "\n"; }
#include <bits/stdc++.h> using namespace std; inline char gc() { static char now[1 << 16], *S, *T; if (T == S) { T = (S = now) + fread(now, 1, 1 << 16, stdin); if (T == S) return EOF; } return *S++; } inline int read() { int x = 0, f = 1; char ch = gc(); while (!isdigit(ch)) { if (ch == '-') f = -1; ch = gc(); } while (isdigit(ch)) x = x * 10 + ch - '0', ch = gc(); return x * f; } const int N = 1e5 + 10; struct node { int y, next, id; } data[N << 1]; struct node1 { int x, y, id; } q[N]; int top, n, m, num, ans[N], h[N], dfn[N], low[N], size[N], s, b[N]; vector<int> eg[N]; inline void tarjan(int x, int fa) { dfn[x] = low[x] = ++num; for (int i = h[x]; i; i = data[i].next) { int y = data[i].y; if (y == fa) continue; if (dfn[y] && (dfn[y] < dfn[x])) q[++top] = (node1){x, y, data[i].id}; if (!dfn[y]) { q[++top] = (node1){x, y, data[i].id}; tarjan(y, x); low[x] = min(low[x], low[y]); if (low[y] >= dfn[x]) { ++s; node1 now; while (1) { now = q[top--]; eg[s].push_back(now.id); if (b[now.x] != s) ++size[s], b[now.x] = s; if (b[now.y] != s) ++size[s], b[now.y] = s; if (now.x == x && now.y == y) break; } } } else low[x] = min(low[x], dfn[y]); } } int main() { n = read(); m = read(); for (int i = 1; i <= m; ++i) { int x = read(), y = read(); data[++num].y = y; data[num].next = h[x]; h[x] = num; data[num].id = i; data[++num].y = x; data[num].next = h[y]; h[y] = num; data[num].id = i; } num = 0; for (int i = 1; i <= n; ++i) if (!dfn[i]) tarjan(i, i); top = 0; for (int i = 1; i <= s; ++i) if (eg[i].size() == size[i]) for (int j = 0; j < eg[i].size(); ++j) ans[++top] = eg[i][j]; sort(ans + 1, ans + top + 1); printf("%d\n", top); for (int i = 1; i <= top; ++i) printf("%d ", ans[i]); return 0; }