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#include <bits/stdc++.h> using namespace std; const int N = 3005; struct edge { int to, next; } e[N * 2]; int head[N], tot; int vis[N], q[N], V; int deg[N], n, sz; double ans; void add(int x, int y) { e[++tot] = (edge){y, head[x]}; head[x] = tot; } void dfs(int x, int A, int B) { deg[x] == 2 ? B++ : A++; vis[x] = V; if (B == sz) ans += 1.0 / (A + 2); else if (B <= 2) ans += 1.0 / (A + B); else ans += 1.0 / (A + B) + 1.0 / (A + sz - B + 2) - 1.0 / (A + sz); for (int i = head[x]; i; i = e[i].next) if (vis[e[i].to] != V) dfs(e[i].to, A, B); } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { int x, y; scanf("%d%d", &x, &y); ++x; ++y; deg[x]++; deg[y]++; add(x, y); add(y, x); } int t = 0; for (int i = 1; i <= n; i++) if (deg[i] == 1) q[++t] = i; for (; t;) { int x = q[t--]; for (int i = head[x]; i; i = e[i].next) if ((--deg[e[i].to]) == 1) q[++t] = e[i].to; } for (int i = 1; i <= n; i++) if (deg[i] == 2) ++sz; for (V = 1; V <= n; V++) dfs(V, 0, 0); printf("%.10lf\n", ans); }
10
CPP
#include <bits/stdc++.h> char ch; inline void read(int &x) { x = 0; ch = getchar(); while (ch <= 32) ch = getchar(); while (ch > 32) { x = x * 10 + ch - 48; ch = getchar(); }; }; int n; struct edge { edge *next; int y; }; edge *se[3005], e[3005 * 2], *etot = e; inline void addedge(int x, int y) { *++etot = (edge){se[x], y}; se[x] = etot; }; int fa[3005]; inline int getfa(int x) { return fa[x] ? fa[x] = getfa(fa[x]) : x; }; inline bool merge(int x, int y) { x = getfa(x); y = getfa(y); if (x == y) return false; fa[x] = y; return true; }; int _y, _top, cyclen; int _stack[3005]; bool isoncyc[3005]; inline void dfs(int x, int last) { if (x == _y) { cyclen = _top; while (_top) isoncyc[_stack[_top--]] = true; return; }; edge *te = se[x]; while (te) { int ty = te->y; if (ty ^ last) { _stack[++_top] = ty; dfs(ty, x); if (cyclen) return; --_top; }; te = te->next; }; }; inline void findcyc(int x, int y) { _y = y; _top = 1; _stack[1] = x; dfs(x, 0); }; bool v[3005]; int tot; int A, B; double ans; inline void dfs(int x) { v[x] = true; ++tot; A += isoncyc[x]; if (A <= 1) { ans += 1.0 / tot; } else { tot += cyclen - A; ans += 0.5 * (1.0 / tot + (A - 2.0) / ((tot + 0.0) * (tot - A + 2.0)) + (cyclen - A + 0.0) / ((tot + 0.0) * (tot - cyclen + A + 0.0))); tot -= cyclen - A; }; edge *te = se[x]; while (te) { int ty = te->y; if (!v[ty]) { dfs(ty); }; te = te->next; }; v[x] = false; --tot; A -= isoncyc[x]; }; inline void solve() { int i; for (i = 1; i <= n; i++) { dfs(i); }; }; int main() { read(n); int i; for (i = 1; i <= n; i++) { int x, y; read(x); read(y); ++x; ++y; if (!merge(x, y)) { findcyc(x, y); }; addedge(x, y); addedge(y, x); }; solve(); printf("%.10lf\n", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 3010; int n, inR[MAXN], dep[MAXN], jmp[13][MAXN]; int top, stk[MAXN], ins[MAXN], bl[MAXN], rt, ringo[MAXN]; vector<int> T[MAXN], Ring; void dfs(int x, int fa) { ins[stk[++top] = x] = 1; for (int v : T[x]) if (v != fa) { if (ins[v]) throw v; dfs(v, x); } ins[stk[top--]] = 0; } void dfst(int x, int fa) { bl[x] = rt; dep[x] = dep[fa] + 1; jmp[0][x] = fa; for (int v : T[x]) if (v != fa && !inR[v]) dfst(v, x); } int dis(int x, int y) { assert(bl[x] == bl[y]); int _x = x, _y = y; if (dep[x] < dep[y]) swap(x, y); for (int j = 12; ~j; j--) if (dep[jmp[j][x]] >= dep[y]) x = jmp[j][x]; if (x == y) return dep[_x] + dep[_y] - 2 * dep[x] + 1; for (int j = 12; ~j; j--) if (jmp[j][x] != jmp[j][y]) x = jmp[j][x], y = jmp[j][y]; return dep[_x] + dep[_y] - 2 * (dep[x] - 1) + 1; } int main() { scanf("%d", &n); for (int i = 1, u, v; i <= n; i++) scanf("%d%d", &u, &v), ++u, ++v, T[u].push_back(v), T[v].push_back(u); try { dfs(1, 0); } catch (int t) { for (int i = 1, f = 0; i <= top; i++) { f |= stk[i] == t; if (f) ringo[stk[i]] = Ring.size(), Ring.push_back(stk[i]), inR[stk[i]] = 1; } } for (int p : Ring) rt = p, dfst(p, 0); for (int j = 1; j <= 12; j++) for (int i = 1; i <= n; i++) jmp[j][i] = jmp[j - 1][jmp[j - 1][i]]; double Ans = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) { if (bl[i] == bl[j]) Ans += 1.0 / dis(i, j); else { int L = ringo[bl[i]], R = ringo[bl[j]]; if (L > R) swap(L, R); int x = dep[i] + dep[j], y = R - L - 1, z = Ring.size() - (R - L + 1); Ans += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } } printf("%.15lf\n", Ans); }
10
CPP
#include <bits/stdc++.h> const int MAXN = 3000; struct edge { int to; edge *nxt; } edges[2 * MAXN + 5], *adj[MAXN + 5], *ecnt = edges; void addedge(int u, int v) { edge *p = (++ecnt); p->to = v, p->nxt = adj[u], adj[u] = p; p = (++ecnt); p->to = u, p->nxt = adj[v], adj[v] = p; } bool vis[MAXN + 5], tag[MAXN + 5]; int a[MAXN + 5], cnt, siz; void dfs1(int x, int f) { vis[a[++cnt] = x] = true; for (edge *p = adj[x]; p; p = p->nxt) { if (p->to == f) continue; if (vis[p->to]) { siz = 0; for (int j = cnt;; j--) { tag[a[j]] = true, siz++; if (a[j] == p->to) break; } } else dfs1(p->to, x); if (siz) break; } a[cnt--] = 0, vis[x] = false; } double ans; double get(int s, int d) { if (s >= 2) { int p = s - 2, q = siz - s, r = d - s + 2; return 1.0 / (r + p) + 1.0 / (r + q) - 1.0 / (r + p + q); } else return 1.0 / d; } void dfs2(int x, int s, int d) { vis[x] = true, d++; if (tag[x]) s++; ans += get(s, d); for (edge *p = adj[x]; p; p = p->nxt) { if (vis[p->to]) continue; dfs2(p->to, s, d); } } int main() { int n; scanf("%d", &n); for (int i = 1; i <= n; i++) { int a, b; scanf("%d%d", &a, &b); addedge(a + 1, b + 1); } dfs1(1, 0); for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) vis[j] = false; dfs2(i, 0, 0); } printf("%.9f\n", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; const int maxn = 100005; inline int read() { int res, ok = 1; char ch; for (ch = getchar(); ch < '0' || ch > '9'; ch = getchar()) if (ch == '-') ok = -1; res = ch - '0'; for (ch = getchar(); ch >= '0' && ch <= '9'; ch = getchar()) res = res * 10 + ch - '0'; return res * ok; } int tot, last[3005], n, pre[3005], c[3005], len, o[3005], dis[3005], b[3005], cnt, cur; bool vis[3005]; double ans; struct edge { int u, v, last; } e[6005]; inline void link(int u, int v) { tot++; e[tot].u = u; e[tot].v = v; e[tot].last = last[u]; last[u] = tot; } inline bool dfs(int u) { vis[u] = true; for (int i = last[u]; i; i = e[i].last) { int v = e[i].v; if (v != pre[u]) { if (!vis[v]) { pre[v] = u; if (dfs(v)) return true; } else { while (1) { len++; c[len] = u; o[u] = len; if (u == v) break; u = pre[u]; } return true; } } } return false; } inline void dfs1(int u, int fa = -1) { b[u] = cnt; for (int i = last[u]; i; i = e[i].last) { int v = e[i].v; if (v != fa && !o[v]) { dis[v] = dis[u] + 1; dfs1(v, u); } } } inline void dfs2(int u, int fa, int d) { ans += 1.0 / d; for (int i = last[u]; i; i = e[i].last) { int v = e[i].v; if (e[i].v != fa && b[v] == cur) dfs2(v, u, d + 1); } } int main() { n = read(); for (int i = 1; i <= n; i++) { int u, v; u = read(); v = read(); u++; v++; link(u, v); link(v, u); } dfs(1); for (int i = 1; i <= len; i++) { cnt++; dfs1(c[i]); } for (int i = 1; i <= n; i++) { cur = b[i]; dfs2(i, -1, 1); } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) if (b[i] != b[j]) { int now = dis[i] + dis[j] + len, x, y; x = abs(b[i] - b[j]) - 1; y = len - 2 - x; ans += 1.0 / now * (1 + x * 1.0 / (now - x) + y * 1.0 / (now - y)); } printf("%.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> const int maxn = 3005; const int maxm = 6005; const int inf = 999999999; struct edge { int to, next; }; int n; edge e[maxm]; int head[maxn], tot; int stn[maxn], stk[maxn], top = 1; int cir[maxn], circ; int cirr[maxn]; bool vis[maxn]; int dis[maxn][maxn]; bool vis2[maxn][maxn]; void dfs2(int u, int p) { vis[u] = true; for (int t = head[u]; t; t = e[t].next) { int v = e[t].to; if (v == p || vis[v]) continue; cirr[v] = cirr[u]; dfs2(v, u); } } void dfs3(int u, int p, int r) { vis2[r][u] = true; for (int t = head[u]; t; t = e[t].next) { int v = e[t].to; if (v == p || vis2[r][v]) continue; dis[r][v] = dis[r][u] + 1; dfs3(v, u, r); } } bool dfs1(int u, int p) { stk[top] = u; stn[u] = top++; for (int t = head[u]; t; t = e[t].next) { int v = e[t].to; if (v == p) continue; if (stn[v]) { for (int i = stn[v]; i < top; i++) vis[cir[circ++] = stk[i]] = true; return true; } if (dfs1(v, u)) return true; } top--; return false; } void add_edge(int from, int to) { e[++tot] = (edge){to, head[from]}; head[from] = tot; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { int x, y; scanf("%d%d", &x, &y); x++, y++; add_edge(x, y); add_edge(y, x); } dfs1(1, 0); for (int i = 0; i < circ; i++) cirr[cir[i]] = cir[i], dfs2(cir[i], 0); for (int i = 1; i <= n; i++) dis[i][i] = 0, dfs3(i, 0, i); double ans = 0.0; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) { if (cirr[i] == cirr[j]) ans += 1.0 / (dis[i][j] + 1); else ans += 1.0 / (dis[i][j] + 1) + 1.0 / (dis[i][j] + circ - dis[cirr[i]][cirr[j]] * 2 + 1) - 1.0 / (dis[i][j] + circ - dis[cirr[i]][cirr[j]]); } printf("%0.8lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3010; vector<int> e[N]; double ans = 0; int n, h, t, rt, tot, d[N], vis[N], q[N]; void dfs(int u, int a, int b) { if (d[u] == 2) ++b; else ++a; vis[u] = rt; if (b == tot) ans += 1.0 / (a + 2); else if (b <= 2) ans += 1.0 / (a + b); else ans += 1.0 / (a + b) + 1.0 / (a + tot - b + 2) - 1.0 / (a + tot); for (auto v : e[u]) if (vis[v] ^ rt) dfs(v, a, b); } int main() { scanf("%d", &n), h = 1; for (int i = 1, x, y; i <= n; i++) scanf("%d%d", &x, &y), ++x, ++y, e[x].push_back(y), e[y].push_back(x), ++d[x], ++d[y]; for (int i = 1; i <= n; i++) if (d[i] == 1) q[++t] = i; for (int x; h <= t;) { x = q[h++]; for (auto v : e[x]) { --d[v]; if (d[v] == 1) q[++t] = v; } } for (int i = 1; i <= n; i++) if (d[i] == 2) ++tot; for (int i = 1; i <= n; i++) rt = i, dfs(rt, 0, 0); printf("%0.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3005, mod = 1e9 + 7; inline int read() { int s = 0; char ch = getchar(); while (!isdigit(ch)) ch = getchar(); while (isdigit(ch)) s = s * 10 + ch - '0', ch = getchar(); return s; } inline long long qpow(long long a, long long b) { long long res = 1; for (; b; b >>= 1, a = a * a % mod) if (b & 1) res = res * a % mod; return res; } inline void add(int &x, int y) { x += y; if (x >= mod) x -= mod; } inline void dec(int &x, int y) { x -= y; if (x < 0) x += mod; } int n; vector<int> G[N], cir; int dep[N]; int inv[N], fa[N], tag[N], col[N]; int vis[N], f[N][12]; bool flag = 0; void init(int n) { for (int i = 1; i <= n; i++) inv[i] = qpow(i, mod - 2); } inline void find_cir(int u, int f) { if (flag) return; fa[u] = f; vis[u] = 1; for (int v : G[u]) { if (v == f) continue; if (flag) return; if (vis[v]) { while (u != v) cir.push_back(u), u = fa[u]; cir.push_back(v); flag = 1; return; } else find_cir(v, u); } } void dfs(int u, int fa, int c) { f[u][0] = fa; for (int i = 1; i <= 11; i++) f[u][i] = f[f[u][i - 1]][i - 1]; col[u] = c; dep[u] = dep[fa] + 1; for (int v : G[u]) { if (v == fa || tag[v]) continue; dfs(v, u, c); } } inline int LCA(int u, int v) { if (dep[u] < dep[v]) swap(u, v); for (int i = 11; i >= 0; i--) if ((dep[u] - dep[v]) >> i & 1) u = f[u][i]; if (u == v) return u; for (int i = 11; i >= 0; i--) if (f[u][i] != f[v][i]) u = f[u][i], v = f[v][i]; return f[u][0]; } inline int dis(int u, int v) { return dep[u] + dep[v] - 2 * dep[LCA(u, v)] + 1; } int main() { init(3000); n = read(); for (int i = 1; i <= n; i++) { int u = read(), v = read(); u++, v++; G[u].push_back(v); G[v].push_back(u); } find_cir(1, 0); for (int u : cir) tag[u] = 1; for (int i = 0; i < (int)cir.size(); i++) dfs(cir[i], 0, i); double ans = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) { if (col[i] == col[j]) ans += 1.0 / dis(i, j); else { int x = dep[i] + dep[j], l = abs(col[i] - col[j]) - 1, r = (int)cir.size() - l - 2; ans += 1.0 / (x + l) + 1.0 / (x + r) - 1.0 / (x + l + r); } } printf("%.10lf", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 3005; int To[MAXN * 2], Next[MAXN * 2], Final[MAXN], tot; int Circle[MAXN], Deep[MAXN], Fa[MAXN][MAXN], Lst[MAXN], Top[MAXN], P[MAXN], N, Up, Down; void Link(int u, int v) { To[++tot] = v, Next[tot] = Final[u], Final[u] = tot; } int Get(int a) { return Top[a] == a ? a : Top[a] = Get(Top[a]); } void Dfs(int Now, int Pre) { Deep[Now] = Deep[Pre] + 1; Top[Now] = Now; for (int i = Final[Now]; i; i = Next[i]) if (To[i] != Pre) { if (Deep[To[i]] > Deep[Now]) continue; if (Deep[To[i]]) { Up = To[i], Down = Now; continue; } else Lst[To[i]] = Now, Dfs(To[i], Now), Top[To[i]] = Now; } for (int i = 1; i <= N; i++) if (Top[i]) { Fa[Now][i] = Fa[i][Now] = Get(i); } } void Mark(int Now, int Cir) { if (!Circle[Now]) Circle[Now] = Cir; for (int i = Final[Now]; i; i = Next[i]) if (!Circle[To[i]]) Mark(To[i], Circle[Now]); } int Dis(int u, int v) { return Deep[u] + Deep[v] - 2 * Deep[Fa[u][v]] + 1; } int main() { scanf("%d", &N); for (int i = 1; i <= N; i++) { int u, v; scanf("%d%d", &u, &v); u++, v++; Link(u, v), Link(v, u); } Dfs(1, 0); int cnt = 0; for (int cur = Down;; cur = Lst[cur]) { Circle[cur] = cur; P[++cnt] = cur; if (cur == Up) break; } for (; cnt; cnt--) Mark(P[cnt], P[cnt]); double Ans = 0; for (int x = 1; x <= N; x++) for (int y = 1; y <= N; y++) { if (x == y) Ans = Ans + 1; else { int i = x, j = y; if (Circle[i] == Circle[j]) Ans += 1.0 / Dis(i, j); else { int X = Dis(Circle[j], j) + Dis(Circle[i], i); if (Deep[Circle[j]] < Deep[Circle[i]]) swap(i, j); int Y = Dis(Circle[i], Circle[j]) - 2, Z = Dis(Circle[j], Down) + Dis(Up, Circle[i]) - 2; Ans += 1.0 / (X + Y) + 1.0 / (X + Z) - 1.0 / (X + Y + Z); } } } printf("%.11f\n", Ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int MX = 3500; int N; struct Edge { int y, nx; } E[MX << 1]; int H[MX], ec; void Add(int x, int y) { E[++ec].y = y, E[ec].nx = H[x], H[x] = ec; } int B[MX], dfn[MX], low[MX], dc; int Cr[MX], Ic[MX], cc, stk[MX], tp; void Tarjan(int x, int f) { B[x] = 1, dfn[x] = low[x] = ++dc, stk[++tp] = x; for (int i = H[x]; i; i = E[i].nx) { if (B[E[i].y] == 0) Tarjan(E[i].y, x), low[x] = min(low[x], low[E[i].y]); else if (E[i].y != f) low[x] = min(low[x], dfn[E[i].y]); } if (dfn[x] == low[x]) { if (stk[tp] != x) { int z = 0; while (z != x) z = stk[tp--], Cr[++cc] = z, Ic[z] = 1; } else tp--; } } int C[MX], Ds[MX][MX]; void dfs1(int x, int f, int c) { C[x] = c; for (int i = H[x]; i; i = E[i].nx) if (E[i].y != f && !Ic[E[i].y]) dfs1(E[i].y, x, c); } void dfs2(int x, int f, int rt, int d) { Ds[rt][x] = d; for (int i = H[x]; i; i = E[i].nx) if (E[i].y != f && C[x] == C[E[i].y]) dfs2(E[i].y, x, rt, d + 1); } double Calc(int x, int y) { if (C[x] == C[y]) return 1.0 / Ds[x][y]; int rx = Cr[C[x]], ry = Cr[C[y]]; int a = Ds[x][rx] + Ds[y][ry] + (C[x] - C[y] + cc) % cc - 1; int b = Ds[x][rx] + Ds[y][ry] + (C[y] - C[x] + cc) % cc - 1; int c = Ds[x][rx] + Ds[y][ry] + cc - 2; return 1.0 / a + 1.0 / b - 1.0 / c; } int main() { scanf("%d", &N); for (int i = (1); i <= (N); ++i) { int x, y; scanf("%d%d", &x, &y), ++x, ++y; Add(x, y), Add(y, x); } Tarjan(1, 0); for (int i = (1); i <= (cc); ++i) dfs1(Cr[i], 0, i); for (int i = (1); i <= (N); ++i) dfs2(i, 0, i, 1); double ans = 0; for (int i = (1); i <= (N); ++i) for (int j = (1); j <= (N); ++j) ans += Calc(i, j); printf("%.1000f\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3005; struct _two { int a, b; } edge[N + N], p[N]; double ans; int n, tot, num, pos, tnum; int st[N], flag[N], stack[N], qu[N], tqu[N]; void Init() { scanf("%d", &n); int x, y; tot = 1; for (int i = 1; i <= n; i++) { scanf("%d%d", &x, &y); x++; y++; edge[++tot] = (_two){y, st[x]}; st[x] = tot; edge[++tot] = (_two){x, st[y]}; st[y] = tot; } } bool Find_cir(int x, int fa) { flag[x] = 1; for (int i = st[x]; i; i = edge[i].b) if (i != fa) { if (flag[edge[i].a]) { pos = edge[i].a; qu[num = 1] = x; return 1; } else if (Find_cir(edge[i].a, i ^ 1)) { qu[++num] = x; return x != pos; } } flag[x] = 0; return 0; } void dfs(int x, int fa) { tqu[++tnum] = x; for (int i = st[x]; i; i = edge[i].b) if (!flag[edge[i].a] && i != fa) { p[edge[i].a] = (_two){p[x].a, p[x].b + 1}; dfs(edge[i].a, i ^ 1); } } void Calc(int x, int fa, int d) { ans += 1.0 / d; for (int i = st[x]; i; i = edge[i].b) if (!flag[edge[i].a] && i != fa) Calc(edge[i].a, i ^ 1, d + 1); } void Work() { Find_cir(1, 0); for (int i = 1; i <= num; i++) { tnum = 0; p[qu[i]] = (_two){i, 0}; flag[qu[i]] = 0; dfs(qu[i], 0); for (int j = 1; j <= tnum; j++) Calc(tqu[j], 0, 1); flag[qu[i]] = 1; } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) if (p[i].a != p[j].a) { int len = ((p[i].a - p[j].a) > 0 ? (p[i].a - p[j].a) : -(p[i].a - p[j].a)), ful = num + p[i].b + p[j].b; ans += 1.0 / (ful - len + 1) + 1.0 / (ful - num + len + 1) - 1.0 / ful; } printf("%.7lf\n", ans); } int main() { Init(); Work(); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } double ans; int n, cnt, C; int head, tail; int q[3005], d[3005], d2[3005]; bool vis[3005]; vector<int> e[3005]; void dfs(int x) { vis[x] = 1; for (int i = 0; i < e[x].size(); i++) if (!vis[e[x][i]]) { d2[e[x][i]] = d2[x] + 1; if (!d[e[x][i]]) { d[e[x][i]] = d[x] + 1; ans += 1.0 / d[e[x][i]]; } else ans = ans + 1.0 / d2[e[x][i]] - 2.0 / (d[e[x][i]] + d2[e[x][i]] + C - 2); dfs(e[x][i]); } vis[x] = 0; } int main() { n = read(); for (int i = 1; i <= n; i++) { int u = read(), v = read(); u++; v++; e[u].push_back(v); e[v].push_back(u); d[u]++; d[v]++; } for (int i = 1; i <= n; i++) if (d[i] == 1) q[tail++] = i; while (head != tail) { int now = q[head]; head++; for (int i = 0; i < e[now].size(); i++) { d[e[now][i]]--; if (d[e[now][i]] == 1) q[tail++] = e[now][i]; } } C = n - tail; for (int i = 1; i <= n; i++) { memset(d, 0, sizeof(d)); memset(d2, 0, sizeof(d2)); d[i] = d2[i] = 1; dfs(i); } printf("%.10lf\n", ans + n); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3333; int n; vector<int> g[N]; int inside[N]; int deg[N]; vector<int> dist0[N], dist1[N]; void dfs(int v, int d0, int d1) { if (inside[v]) { return; } dist0[v].push_back(d0); dist1[v].push_back(d1); inside[v] = 1; for (int j = 0; j < (int)g[v].size(); j++) { int u = g[v][j]; int type = (deg[v] + deg[u] <= 3); dfs(u, d0 + type, d1 + 1 - type); } inside[v] = 0; } int main() { scanf("%d", &n); for (int i = 0; i < n; i++) { int x, y; scanf("%d %d", &x, &y); g[x].push_back(y); g[y].push_back(x); } vector<int> que; for (int i = 0; i < n; i++) { deg[i] = g[i].size(); if (deg[i] == 1) { que.push_back(i); } } for (int i = 0; i < (int)que.size(); i++) { int v = que[i]; for (int u : g[v]) { if (deg[u] > 1) { deg[u]--; if (deg[u] == 1) { que.push_back(u); } } } } double ans = 0.0; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { dist0[j].clear(); dist1[j].clear(); } dfs(i, 1, 1); for (int j = 0; j < n; j++) { if (dist0[j].size() == 1) { ans += 1.0 / dist0[j][0]; } else { ans += 1.0 / (dist0[j][0] + dist1[j][0] - 1) + 1.0 / (dist0[j][1] + dist1[j][1] - 1) - 1.0 / (dist0[j][0] + dist1[j][0] + dist1[j][1] - 3); } } } printf("%.20lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using std::max; using std::min; const int inf = 0x3f3f3f3f, Inf = 0x7fffffff; const long long INF = 0x3f3f3f3f3f3f3f3f; std::mt19937 rnd(std::chrono::steady_clock::now().time_since_epoch().count()); template <typename _Tp> _Tp gcd(const _Tp &a, const _Tp &b) { return (!b) ? a : gcd(b, a % b); } template <typename _Tp> inline _Tp abs(const _Tp &a) { return a >= 0 ? a : -a; } template <typename _Tp> inline void chmax(_Tp &a, const _Tp &b) { (a < b) && (a = b); } template <typename _Tp> inline void chmin(_Tp &a, const _Tp &b) { (b < a) && (a = b); } template <typename _Tp> inline void read(_Tp &x) { char ch(getchar()); bool f(false); while (!isdigit(ch)) f |= ch == 45, ch = getchar(); x = ch & 15, ch = getchar(); while (isdigit(ch)) x = (((x << 2) + x) << 1) + (ch & 15), ch = getchar(); f && (x = -x); } template <typename _Tp, typename... Args> inline void read(_Tp &t, Args &...args) { read(t); read(args...); } inline int read_str(char *s) { char ch(getchar()); while (ch == ' ' || ch == '\r' || ch == '\n') ch = getchar(); char *tar = s; *tar++ = ch, ch = getchar(); while (ch != ' ' && ch != '\r' && ch != '\n' && ch != EOF) *tar++ = ch, ch = getchar(); return *tar = 0, tar - s; } const int N = 3005; struct edge { int v, nxt; } c[N << 1]; int front[N], edge_cnt; inline void addedge(int u, int v) { c[++edge_cnt] = (edge){v, front[u]}; front[u] = edge_cnt; } int st[N], top; bool vis[N]; int loop[N], pos, id[N]; void dfs1(int x, int fa) { if (pos) return; if (vis[x]) { while (st[top] != x) { int tmp = st[top--]; loop[++pos] = tmp; } loop[++pos] = x; return; } st[++top] = x, vis[x] = true; for (int i = front[x]; i; i = c[i].nxt) { int v = c[i].v; if (v == fa) continue; dfs1(v, x); } if (pos) return; --top, vis[x] = false; } int dis[N]; void dfs2(int x, int fa) { dis[x] = dis[fa] + 1; if (fa) id[x] = id[fa]; for (int i = front[x]; i; i = c[i].nxt) { int v = c[i].v; if (v == fa || id[v]) continue; dfs2(v, x); } } double ans; void dfs3(int x, int fa, int len) { ans += 1.0 / (++len); for (int i = front[x]; i; i = c[i].nxt) { int v = c[i].v; if (v == fa || id[v] != id[x]) continue; dfs3(v, x, len); } } inline double f(int a, int b, int c, int d) { return (1.0 * b / (a + c + d) + 1.0 * c / (a + b + d) + 1) / (a + b + c + d); } int main() { int n; read(n); int x, y; for (int i = 1; i <= n; ++i) read(x, y), ++x, ++y, addedge(x, y), addedge(y, x); dfs1(1, 0); for (int i = 1; i <= pos; ++i) id[loop[i]] = i; for (int i = 1; i <= pos; ++i) dfs2(loop[i], 0); for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) if (id[i] != id[j]) ans += f(dis[i], abs(id[i] - id[j]) - 1, pos - abs(id[i] - id[j]) - 1, dis[j]); for (int i = 1; i <= n; ++i) dfs3(i, 0, 0); printf("%.8lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; namespace Fread { const int MAXN = 1 << 20; char buffer[MAXN], *S, *T; inline char getchar() { if (S == T) { T = (S = buffer) + fread(buffer, 1, MAXN, stdin); if (S == T) return EOF; } return *S++; } } // namespace Fread inline int read() { int f = 1, x = 0; char ch = Fread::getchar(); while (!isdigit(ch)) { if (ch == '-') f = -1; ch = Fread::getchar(); } while (isdigit(ch)) { x = x * 10 + ch - '0'; ch = Fread::getchar(); } return x * f; } inline long long readll() { long long f = 1, x = 0; char ch = Fread::getchar(); while (!isdigit(ch)) { if (ch == '-') f = -1; ch = Fread::getchar(); } while (isdigit(ch)) { x = x * 10 + ch - '0'; ch = Fread::getchar(); } return x * f; } const int MAXN = 3005; struct EDGE { int nxt, to; } edge[MAXN << 1]; int head[MAXN], tot; inline void add_edge(int u, int v) { edge[++tot].nxt = head[u]; edge[tot].to = v; head[u] = tot; } int n, sta[MAXN], top, cir[MAXN], c; bool vis[MAXN], flag, incir[MAXN]; void dfs1(int u, int frm) { vis[u] = 1; sta[++top] = u; for (int i = head[u]; i; i = edge[i].nxt) { int v = edge[i].to; if (v == frm) continue; if (vis[v]) { int t = -1; for (int j = 1; j <= top; ++j) if (sta[j] == v) { t = j; break; } assert(t != -1); for (int j = t; j <= top; ++j) cir[++c] = sta[j]; flag = 1; return; } dfs1(v, u); if (flag) return; } --top; } int fa[MAXN], d[MAXN], rt; vector<int> tr[MAXN]; void dfs2(int u) { tr[rt].push_back(u); for (int i = head[u]; i; i = edge[i].nxt) { int v = edge[i].to; if (v == fa[u] || incir[v]) continue; fa[v] = u; d[v] = d[u] + 1; dfs2(v); } } double ans; void dfs3(int u, int frm, int dep) { for (int i = head[u]; i; i = edge[i].nxt) { int v = edge[i].to; if (incir[u] && incir[v]) continue; if (v == frm) continue; ans += 1.0 / (dep + 1); dfs3(v, u, dep + 1); } } int main() { n = read(); for (int i = 1, u, v; i <= n; ++i) u = read() + 1, v = read() + 1, add_edge(u, v), add_edge(v, u); dfs1(1, 0); assert(flag); for (int i = 1; i <= c; ++i) incir[cir[i]] = 1; for (int i = 1; i <= c; ++i) { fa[cir[i]] = 0; rt = cir[i]; dfs2(cir[i]); } ans = n; for (int i = 1; i <= n; ++i) { dfs3(i, 0, 1); } for (int i = 1; i <= c; ++i) { for (int j = 0; j < (int)tr[cir[i]].size(); ++j) { int u = tr[cir[i]][j]; for (int k = 1; k <= c; ++k) if (k != i) { int dis1 = max(i, k) - min(i, k), dis2 = c - dis1; for (int l = 0; l < (int)tr[cir[k]].size(); ++l) { int v = tr[cir[k]][l]; ans += 1.0 / (d[u] + d[v] + dis1 + 1); ans += 1.0 / (d[u] + d[v] + dis2 + 1); ans -= 1.0 / (d[u] + d[v] + c); } } } } cout << setiosflags(ios::fixed) << setprecision(10) << ans << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n; vector<int> G[3005]; int stk[3005], tp, instk[3005]; vector<int> cyc; int incyc[3005]; bool flag; inline void findCycle(int u, int pa) { stk[++tp] = u; instk[u] = 1; for (int i = 0; i < G[u].size(); ++i) { int v = G[u][i]; if (v == pa) continue; if (instk[v]) { while (stk[tp] != v) { cyc.push_back(stk[tp]); incyc[stk[tp]] = 1; instk[stk[tp]] = 0; --tp; } cyc.push_back(stk[tp]); incyc[stk[tp]] = 1; instk[stk[tp]] = 0; --tp; flag = 1; } else findCycle(v, u); if (flag) return; } instk[u] = 0; --tp; } int N; int anc[3005]; inline void getAnc(int u, int pa, int rt) { anc[u] = rt; for (int i = 0; i < G[u].size(); ++i) { int v = G[u][i]; if (v != pa && !incyc[v]) getAnc(v, u, rt); } } int dist[3005], len[3005]; double ans; inline void dfsIn(int u, int pa, int rt) { dist[u] = dist[pa] + 1; ans += (double)1 / dist[u]; for (int i = 0; i < G[u].size(); ++i) { int v = G[u][i]; if (v != pa && (!incyc[v] || v == rt)) dfsIn(v, u, rt); } } inline void dfsOut(int u, int pa, int rt) { dist[u] = dist[pa] + 1; ans += (double)1 / (dist[u] + len[rt] - 1) + (double)1 / (dist[u] - len[rt] + N - 1) - (double)1 / (dist[u] + N - 2); for (int i = 0; i < G[u].size(); ++i) { int v = G[u][i]; if (v != pa && !incyc[v]) dfsOut(v, u, rt); } } int main() { ios::sync_with_stdio(false); cin >> n; for (int i = 1; i <= (n); ++i) { int u, v; cin >> u >> v; ++u, ++v; G[u].push_back(v); G[v].push_back(u); } findCycle(1, 0); N = cyc.size(); for (int i = 0; i < (N); ++i) { int u = cyc[i]; getAnc(u, 0, u); } for (int i = 1; i <= (n); ++i) { double prev = ans; int rt = anc[i]; dfsIn(i, 0, rt); int pos = 0; for (int j = 0; j < (N); ++j) if (cyc[j] == rt) { pos = j; break; } for (int j = 0; j < (N); ++j) if (j != pos) { len[cyc[j]] = abs(j - pos); dfsOut(cyc[j], rt, cyc[j]); } } printf("%0.8lf", ans); return 0; }
10
CPP
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:1000000000") using namespace std; const bool db = false; vector<int> gr[3010]; double res; int mark[3010], color; int ds[3010], ds2[3010]; int deg[3010], n, m; int Len; void dfs(int v) { mark[v] = 1; for (int i = 0, sz = gr[v].size(); i < sz; ++i) { int to = gr[v][i]; if (mark[to]) continue; ds2[to] = ds2[v] + 1; if (ds[to] == 0) { ds[to] = ds[v] + 1; res += 1.0 / ds[to]; } else { res += 1.0 / ds2[to]; res -= 1.0 / ((ds[to] + ds2[to] + Len) / 2 - 1); } dfs(to); } mark[v] = 0; } int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) { int x, y; scanf("%d%d", &x, &y); x += 1; y += 1; gr[x].push_back(y); gr[y].push_back(x); ++deg[x]; ++deg[y]; } queue<int> q; for (int i = 1; i <= n; ++i) if (deg[i] == 1) q.push(i); Len = n; res = n; while (!q.empty()) { int v = q.front(); q.pop(); for (int i = 0, sz = gr[v].size(); i < sz; ++i) { int to = gr[v][i]; if (--deg[to] == 1) q.push(to); } Len -= 1; } for (int i = 1; i <= n; ++i) { memset(ds, 0, sizeof(ds)); memset(ds2, 0, sizeof(ds2)); ds[i] = ds2[i] = 1; dfs(i); } cout.precision(9); cout << fixed << res << "\n"; getchar(); getchar(); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; long long powmod(long long a, long long b) { long long res = 1; a %= mod; for (; b; b >>= 1) { if (b & 1) res = res * a % mod; a = a * a % mod; } return res; } const int N = 3010; vector<int> e[N], dis[N]; int q[N], n, u, v, t, d[N], vis[N], ct[N]; double ans; void dfs(int u, int dep, int tc) { vis[u] = 1; ct[u] = tc; dis[u].push_back(dep); for (int j = 0; j < ((int)(e[u]).size()); j++) if (!vis[e[u][j]]) dfs(e[u][j], dep + 1, (d[e[u][j]] == 1) + tc); vis[u] = 0; } int main() { scanf("%d", &n); for (int i = 0; i < n; i++) { scanf("%d%d", &u, &v); e[u].push_back(v); e[v].push_back(u); } for (int i = 0; i < n; i++) d[i] = ((int)(e[i]).size()); for (int i = 0; i < n; i++) if (d[i] == 1) { vis[i] = 1; q[t++] = i; } for (int i = 0; i < t; i++) for (int j = 0; j < ((int)(e[q[i]]).size()); j++) { int v = e[q[i]][j]; if (!vis[v] && (--d[v]) == 1) { q[t++] = v; vis[v] = 1; } } memset(vis, 0, sizeof(vis)); for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) dis[j].clear(); dfs(i, 1, d[i] == 1); for (int j = 0; j < n; j++) if (((int)(dis[j]).size()) == 1) ans += 1. / dis[j][0]; else ans += 1. / dis[j][0] + 1. / dis[j][1] - 1. / (dis[j][0] + dis[j][1] - ct[j] - 2); } printf("%.10f\n", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int M = 3005; vector<int> eg[M]; int n; int fa[M], cnt[M], sz[M]; int getfa(int x) { if (fa[x] == x) return x; return fa[x] = getfa(fa[x]); } double ans; int pl[M], psz; int mark[M], TIM; void dfs_jih_pre(int x) { pl[psz++] = x; mark[x] = TIM; for (int i = 0, up = eg[x].size(); i < up; i++) if (mark[eg[x][i]] != TIM) dfs_jih_pre(eg[x][i]); } vector<int> ps; void dfs_huan(int x) { ps.push_back(x); mark[x] = TIM; for (int i = 0, up = eg[x].size(); i < up; i++) if (mark[eg[x][i]] != TIM) dfs_huan(eg[x][i]); } vector<int> son[M]; int now; void dfs_jih(int x, int f, int d) { pl[psz++] = x; son[now].push_back(d); for (int i = 0, up = eg[x].size(); i < up; i++) if (eg[x][i] != f && mark[eg[x][i]] != TIM) dfs_jih(eg[x][i], x, d + 1); } void dfs_jih_tre_calc(int x, int f, int d) { if (d != 1) ans += 1.0 / d; for (int i = 0, up = eg[x].size(); i < up; i++) if (eg[x][i] != f && (mark[eg[x][i]] != TIM || eg[x][i] == now)) dfs_jih_tre_calc(eg[x][i], x, d + 1); } void calc_jih(int x) { TIM++; psz = 0; dfs_jih_pre(x); static int deg[M], q[M], L, R; L = R = 0; for (int w = 0; w < psz; w++) for (int x = pl[w], i = 0, up = eg[x].size(); i < up; i++) deg[eg[x][i]]++; for (int w = 0; w < psz; w++) if (deg[pl[w]] == 1) q[R++] = pl[w]; TIM++; while (L < R) { static int x; x = q[L++]; mark[x] = TIM; for (int i = 0, up = eg[x].size(); i < up; i++) if (deg[eg[x][i]]-- == 2) q[R++] = eg[x][i]; } ps.clear(); for (int w = 0; w < psz; w++) if (mark[pl[w]] != TIM) { dfs_huan(pl[w]); break; } TIM++; for (int i = 0, up = ps.size(); i < up; i++) mark[ps[i]] = TIM; for (int i = 0, up = ps.size(); i < up; i++) { now = ps[i]; psz = 0; dfs_jih(now, now, 1); for (int j = 0; j < psz; j++) dfs_jih_tre_calc(pl[j], pl[j], 1); } for (int i = 0, up = ps.size(); i < up; i++) for (int j = i + 1; j < up; j++) { int a = ps[i], b = ps[j], c = j - i - 1, d = up - c - 2; for (int l = 0, upa = son[a].size(); l < upa; l++) for (int p = 0, upb = son[b].size(); p < upb; p++) ans += 2.0 * (1.0 / (son[a][l] + son[b][p] + c) + 1.0 / (son[a][l] + son[b][p] + d) - 1.0 / (son[a][l] + son[b][p] + c + d)); } } void dfs_tre_pre(int x, int f) { pl[psz++] = x; for (int i = 0, up = eg[x].size(); i < up; i++) if (eg[x][i] != f) dfs_tre_pre(eg[x][i], x); } void dfs_tre_calc(int x, int f, int d) { if (d != 1) ans += 1.0 / d; for (int i = 0, up = eg[x].size(); i < up; i++) if (eg[x][i] != f) dfs_tre_calc(eg[x][i], x, d + 1); } void calc_tre(int x) { psz = 0; dfs_tre_pre(x, x); for (int i = 0; i < psz; i++) dfs_tre_calc(pl[i], pl[i], 1); } int main() { scanf("%d", &n); ans = n; for (int i = 1; i <= n; i++) fa[i] = i, sz[i] = 1; for (int i = 1, x, y, faa, fab; i <= n; i++) { scanf("%d %d", &x, &y); x++, y++; eg[x].push_back(y); eg[y].push_back(x); faa = getfa(x); fab = getfa(y); if (faa != fab) { fa[faa] = fab; cnt[fab] += cnt[faa] + 1; sz[fab] += sz[faa]; } else cnt[faa]++; } for (int i = 1; i <= n; i++) if (getfa(i) == i) { if (cnt[i] == sz[i]) calc_jih(i); else calc_tre(i); } printf("%.15f\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; struct node_ { int v, next; } node[6005]; int head[3005], e, fa[3005][14], gf[3005]; int bj[3005], bjj = 0; bool b[3005]; void addnode(int u, int v) { e++; node[e].v = v; node[e].next = head[u]; head[u] = e; } int flag = 0; int n; int dep[3005]; void dfs(int t, int u) { b[t] = 1; for (register int i = head[t]; i; i = node[i].next) { if (u == node[i].v) continue; if (b[node[i].v]) { flag = node[i].v; gf[t] = t; bj[t] = bjj; bjj++; dep[t] = 1; return; } dfs(node[i].v, t); if (flag > 0) { gf[t] = t; bj[t] = bjj; bjj++; dep[t] = 1; if (t == flag) flag = -flag; return; } else if (flag < 0) return; } } void dfs_(int t) { for (register int i = head[t]; i; i = node[i].next) { if (gf[node[i].v]) continue; gf[node[i].v] = gf[t]; fa[node[i].v][0] = t; for (register int j = 1; j <= 11; ++j) fa[node[i].v][j] = fa[fa[node[i].v][j - 1]][j - 1]; dep[node[i].v] = dep[t] + 1; dfs_(node[i].v); } } int log_[3005]; int lca(int u, int v) { if (dep[v] > dep[u]) swap(u, v); while (dep[u] > dep[v]) { u = fa[u][log_[dep[u] - dep[v]]]; } if (u == v) return u; for (register int i = 11; i >= 0; --i) { if (fa[u][i] != fa[v][i]) { u = fa[u][i]; v = fa[v][i]; } } return fa[u][0]; } double ans = 0; int main() { scanf("%d", &n); for (register int i = 2; i <= n; ++i) { log_[i] = log_[i / 2] + 1; } for (register int i = 1; i <= n; ++i) { int u, v; scanf("%d%d", &u, &v); u++; v++; addnode(u, v); addnode(v, u); } dfs(1, 1); for (register int i = 1; i <= n; ++i) { if (gf[i] == i) { dfs_(i); } } for (register int i = 1; i <= n; ++i) { for (register int j = 1; j <= n; ++j) { if (gf[i] == gf[j]) { ans += (1 / (double)(dep[i] + dep[j] - 2 * dep[lca(i, j)] + 1)); } else { int x = dep[i] + dep[j], y = abs(bj[gf[i]] - bj[gf[j]]) - 1, z = bjj - 1 - abs(bj[gf[i]] - bj[gf[j]]); ans = ans + 1 / (double)(x + z) + 1 / (double)(x + y) - 1 / (double)(x + z + y); } } } printf("%.9lf", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int c[3050 * 2][2], ss = 1, h[3050][2], fi[3050], n, m, len; bool b[3050], flag = false; double ans; inline int Read() { int x = 0; char y; do y = getchar(); while (y < '0' || y > '9'); do x = x * 10 + y - '0', y = getchar(); while (y >= '0' && y <= '9'); return x; } inline void Line(int x, int y) { c[++ss][0] = y; c[ss][1] = fi[x]; fi[x] = ss; c[++ss][0] = x; c[ss][1] = fi[y]; fi[y] = ss; } bool DFS(int x, int y, int z, int o) { if (x == z) { len = y + 1; return true; } for (int i = fi[x]; i; i = c[i][1]) if (c[i][0] != o && DFS(c[i][0], y + 1, z, x)) return true; return false; } void DSF(int x, int y, int z, int o) { h[x][h[x][0] > 0] = y; b[x] = 1; for (int i = fi[x]; i; i = c[i][1]) if (c[i][0] != o && c[i][0] != z && !b[c[i][0]]) DSF(c[i][0], y + 1, x, o); b[x] = 0; } int main() { n = Read(); for (int i = 1; i <= n; i++) { int k = Read() + 1, l = Read() + 1; if (!flag) flag = DFS(k, 0, l, 0); Line(k, l); } for (int i = 1; i <= n; i++) { memset(h, 0, sizeof(h)); DSF(i, 1, 0, i); for (int j = 1; j <= n; j++) if (!h[j][1]) ans += 1.0 / h[j][0]; else ans += 1.0 / h[j][0] + 1.0 / h[j][1] - 2.0 / (h[j][0] + h[j][1] + len - 2); } printf("%.9lf\n", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; template <typename T> inline bool upmin(T &x, T y) { return y < x ? x = y, 1 : 0; } template <typename T> inline bool upmax(T &x, T y) { return x < y ? x = y, 1 : 0; } const long double eps = 1e-11; const long double pi = acos(-1); const int oo = 1 << 30; const long long loo = 1ll << 62; const int mods = 998244353; const int MAXN = 600005; const int INF = 0x3f3f3f3f; inline int read() { int f = 1, x = 0; char c = getchar(); while (c < '0' || c > '9') { if (c == '-') f = -1; c = getchar(); } while (c >= '0' && c <= '9') { x = (x << 3) + (x << 1) + (c ^ 48); c = getchar(); } return x * f; } double ans; vector<int> e[MAXN]; int vis[MAXN], stk[MAXN], a[MAXN], id[MAXN], gf[MAXN], dis[MAXN], rt, top = 0, num = 0; void dfs(int x, int father) { vis[x] = 1, stk[++top] = x; for (auto v : e[x]) { if (v == father) continue; if (vis[v]) { if (num) continue; int y; while (y = stk[top--]) { a[++num] = y, id[y] = num; if (y == v) break; } } else dfs(v, x); } if (stk[top] == x) top--; } void Dfs(int x, int father, int Gf) { gf[x] = Gf; dis[x] = dis[father] + 1; for (auto v : e[x]) if (!id[v] && v != father) Dfs(v, x, Gf); } void getans(int x, int dep) { vis[x] = 1; if (x != rt) { if (gf[x] == gf[rt]) ans += (double)1 / (double)dep; else { int a = dis[x] + dis[rt], b = abs(id[gf[x]] - id[gf[rt]]) - 1, c = num - 2 - b; ans += (double)1 / ((double)a + b) + (double)1 / ((double)a + c) - (double)1 / ((double)a + b + c); } } for (auto v : e[x]) if (!vis[v]) getans(v, dep + 1); } int main() { int n = read(); for (int i = 1; i <= n; i++) { int u = read() + 1, v = read() + 1; e[u].push_back(v), e[v].push_back(u); } dfs(1, 0); for (int i = 1; i <= num; i++) Dfs(a[i], 0, a[i]); ans = (double)n; for (int i = 1; i <= n; i++) { memset(vis, 0, sizeof vis); rt = i, getans(i, 1); } printf("%.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> inline void smin(T &a, U b) { if (a > b) a = b; } template <typename T, typename U> inline void smax(T &a, U b) { if (a < b) a = b; } template <class T> inline void gn(T &first) { char c, sg = 0; while (c = getchar(), (c > '9' || c < '0') && c != '-') ; for ((c == '-' ? sg = 1, c = getchar() : 0), first = 0; c >= '0' && c <= '9'; c = getchar()) first = (first << 1) + (first << 3) + c - '0'; if (sg) first = -first; } template <class T> inline void print(T first) { if (first < 0) { putchar('-'); return print(-first); } if (first < 10) { putchar('0' + first); return; } print(first / 10); putchar(first % 10 + '0'); } template <class T, class T1> inline void gn(T &first, T1 &second) { gn(first); gn(second); } template <class T, class T1, class T2> inline void gn(T &first, T1 &second, T2 &z) { gn(first); gn(second); gn(z); } template <class T> inline void println(T first) { print(first); putchar('\n'); } template <class T> inline void printsp(T first) { print(first); putchar(' '); } template <class T1, class T2> inline void print(T1 x1, T2 x2) { printsp(x1), println(x2); } template <class T1, class T2, class T3> inline void print(T1 x1, T2 x2, T3 x3) { printsp(x1), printsp(x2), println(x3); } template <class T1, class T2, class T3, class T4> inline void print(T1 x1, T2 x2, T3 x3, T4 x4) { printsp(x1), printsp(x2), printsp(x3), println(x4); } int power(int a, int b, int m, int ans = 1) { for (; b; b >>= 1, a = 1LL * a * a % m) if (b & 1) ans = 1LL * ans * a % m; return ans; } vector<int> adj[3333]; int n; int deg[3333]; int col[3333]; int rc; int q[3333], qf, qb; int deep[3333]; int dst[3333][3333]; void dfs(int u, int fa = 0) { deep[u] = deep[fa] + 1; for (int v : adj[u]) { if (v == fa) continue; if (col[v] >= 0) continue; col[v] = col[u]; dfs(v, u); } } void ser(int u, int fa, int root) { for (int v : adj[u]) { if (v == fa or col[u] != col[v]) continue; dst[root][v] = dst[root][u] + 1; ser(v, u, root); } } double ans; void calc(int u, int v) { if (col[u] == col[v]) { ans += 1.0 / (dst[u][v] + 1); return; } int X = deep[u] + deep[v]; int Y = abs(col[u] - col[v]) - 1; int Z = rc - Y - 2; ans += 1.0 / (X + Y) + 1.0 / (X + Z) - 1.0 / (X + Y + Z); } void solve() { cin >> n; for (int i = 0; i < n; i++) { int u, v; gn(u); gn(v); u++; v++; adj[u].push_back(v); adj[v].push_back(u); deg[u]++; deg[v]++; } for (int i = 1; i <= n; i++) if (deg[i] == 1) q[qb++] = i; while (qb > qf) { int u = q[qf++]; col[u] = -1; for (int v : adj[u]) { deg[v]--; if (deg[v] == 1) q[qb++] = v; } } for (int i = 1; i <= n; i++) if (col[i] == 0) col[i] = ++rc, dfs(i); for (int i = 1; i <= n; i++) { ser(i, 0, i); for (int j = 1; j <= n; j++) { calc(i, j); } } printf("%.10lf\n", ans); } int main() { solve(); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; struct bian { int next, point; } b[7000]; int p[4000], n, len, pd[4000], x[4000], s[4000], head, bo[4000], d[4000], u[4000]; long double ans; void ade(int k1, int k2) { b[++len] = (bian){p[k1], k2}; p[k1] = len; } void add(int k1, int k2) { ade(k1, k2); ade(k2, k1); } void dfs(int k1, int k2) { if (bo[k1]) { while (s[head + 1] != k1) { x[++len] = s[head]; d[x[len]] = len; pd[s[head]] = 1; head--; } return; } bo[k1] = 1; s[++head] = k1; for (int i = p[k1]; i != -1; i = b[i].next) { int j = b[i].point; if ((i ^ 1) != k2) dfs(j, i); if (len) return; } head--; } void dfs2(int k1, int k2, int k3, int k4) { d[k1] = k3; u[k1] = k4; for (int i = p[k1]; i != -1; i = b[i].next) { int j = b[i].point; if (j != k2 && pd[j] == 0) dfs2(j, k1, k3, k4 + 1); } } void dfs3(int k1, int k2, int k3) { ans += 1 / (double)k3; for (int i = p[k1]; i != -1; i = b[i].next) { int j = b[i].point; if (pd[j] == 0 && j != k2) dfs3(j, k1, k3 + 1); } } int main() { scanf("%d", &n); len = -1; memset(p, 0xff, sizeof p); for (int i = 1; i <= n; i++) { int k1, k2; scanf("%d%d", &k1, &k2); k1++; k2++; add(k1, k2); } len = 0; dfs(1, -100); for (int i = 1; i <= n; i++) if (pd[i]) dfs2(i, 0, d[i], 0); ans = 0; for (int i = 1; i <= n; i++) { pd[x[d[i]]] = 0; dfs3(i, 0, 1); pd[x[d[i]]] = 1; } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) if (d[i] != d[j]) { int k1 = u[i] + u[j], k2 = abs(d[i] - d[j]) + 1, k3 = len - k2 + 2; ans += 1 / (double)(k1 + k2) + 1 / (double)(k1 + k3) - 1 / (double)(k1 + len); } printf("%.11lf", (double)ans); return 0; }
10
CPP
#include <bits/stdc++.h> template <typename T> inline void read(T &x) { x = 0; char c = getchar(); bool flag = false; while (!isdigit(c)) { if (c == '-') flag = true; c = getchar(); } while (isdigit(c)) { x = (x << 1) + (x << 3) + (c ^ 48); c = getchar(); } if (flag) x = -x; } using namespace std; int n; struct edge { int nxt; int to; } e[4223 << 1]; int head[4223], ecnt = 1; inline void addedge(int from, int to) { e[++ecnt] = (edge){head[from], to}; head[from] = ecnt; } int d[4223]; int que[4223 << 1], front, rear; bool notcir[4223]; bool incir[4223 << 1]; inline void topo() { for (register int i = 1; i <= n; ++i) if (d[i] == 1) que[++rear] = i, notcir[i] = true; while (front < rear) { int cur = que[++front]; for (register int i = head[cur]; i; i = e[i].nxt) { int to = e[i].to; if (notcir[to]) continue; --d[to]; if (d[to] == 1) { notcir[to] = true; que[++rear] = to; } } } for (register int p = 1; p <= n; ++p) if (!notcir[p]) for (register int i = head[p]; i; i = e[i].nxt) { int to = e[i].to; if (notcir[to]) continue; incir[i] = true; } } double f[4223][4223]; void dfs_in_tree(int u, int cur, int depp, int faa) { f[u][cur] = f[cur][u] = 1.0 / depp; for (register int i = head[cur]; i; i = e[i].nxt) { int to = e[i].to; if (incir[i] || to == faa) continue; dfs_in_tree(u, to, depp + 1, cur); } } int h[4223], htot; bool vis[4223]; void find_cir(int cur) { h[++htot] = cur; vis[cur] = true; for (register int i = head[cur]; i; i = e[i].nxt) if (incir[i]) { int to = e[i].to; if (!vis[to]) find_cir(to); } } void dfs3(int cur, int u, int y, int z, int x, int faa) { f[cur][u] = f[u][cur] = 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); for (register int i = head[cur]; i; i = e[i].nxt) if (!incir[i]) { int to = e[i].to; if (to == faa) continue; dfs3(to, u, y, z, x + 1, cur); } } void dfs2(int cur, int v, int y, int z, int x, int faa) { dfs3(v, cur, y, z, x + 1, 0); for (register int i = head[cur]; i; i = e[i].nxt) if (!incir[i]) { int to = e[i].to; if (to == faa) continue; dfs2(to, v, y, z, x + 1, cur); } } inline void Cir() { for (register int i = 1; i <= n; ++i) if (!notcir[i]) { find_cir(i); break; } for (register int i = 1; i <= htot; ++i) for (register int j = i + 1; j <= htot; ++j) dfs2(h[i], h[j], j - i - 1, htot - j + i - 1, 1, 0); } int main() { read(n); for (register int i = 1; i <= n; ++i) { int u, v; read(u), read(v); ++u, ++v; addedge(u, v), addedge(v, u); ++d[u], ++d[v]; } topo(); for (register int i = 1; i <= n; ++i) dfs_in_tree(i, i, 1, 0); Cir(); double res = 0; for (register int i = 1; i <= n; ++i) for (register int j = 1; j <= n; ++j) res += f[i][j]; printf("%.10lf\n", res); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int lca[3005][3005]; int last[3005]; int cir[3005]; int lab[3005]; int par[3005]; int pre[6005]; int dep[3005]; int e[6005]; int f[3005]; int h[3005]; int n, m, cnt; int find_cir(int x, int par, int cirst) { int i; h[x] = 1; for (i = last[x]; i != 0; i = pre[i]) if (e[i] != par) if (e[i] == cirst || (!h[e[i]] && find_cir(e[i], x, cirst))) { cir[++cnt] = x; return 1; } return 0; } void dfs(int x) { int i; for (i = last[x]; i; i = pre[i]) if (e[i] != par[x] && lab[e[i]] == 0) { f[e[i]] = f[x]; par[e[i]] = x; dep[e[i]] = dep[x] + 1; dfs(e[i]); } } int find(int u, int v) { if (lca[u][v]) return lca[u][v]; if (u == v) return lca[u][v] = u; if (dep[u] > dep[v]) lca[u][v] = find(par[u], v); else lca[u][v] = find(u, par[v]); return lca[u][v]; } double work() { int i, j, x, y, z; double ans = 0; for (i = 1; i <= n; ++i) { cnt = 0; memset(h, 0, sizeof h); if (find_cir(i, 0, i)) break; } for (i = 1; i <= cnt; ++i) { dep[cir[i]] = 1; f[cir[i]] = cir[i]; lab[cir[i]] = i; dfs(cir[i]); } for (i = 1; i <= n; ++i) for (j = 1; j <= n; ++j) if (f[i] == f[j]) { x = find(i, j); y = dep[i] - dep[x] + dep[j] - dep[x] + 1; ans += 1.0 / y; } else { x = dep[i] + dep[j]; y = (lab[f[i]] - lab[f[j]] + cnt) % cnt - 1; z = (lab[f[j]] - lab[f[i]] + cnt) % cnt - 1; ans += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } return ans; } int main() { int i, j, a, b; scanf("%d", &n); for (i = 1; i <= n; ++i) { scanf("%d %d", &a, &b); ++a, ++b; (e[++m] = b, pre[m] = last[a], last[a] = m), (e[++m] = a, pre[m] = last[b], last[b] = m); } printf("%.10lf\n", work()); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3005, M = N << 1; int n, tot, len, du[N], now[N], prep[M], son[M]; double ans; void read(int &x) { x = 0; int f = 1; char ch; for (ch = getchar(); !isdigit(ch); ch = getchar()) if (ch == '-') f = -1; for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0'; x *= f; } void link(int u, int v) { tot++, prep[tot] = now[u], now[u] = tot, son[tot] = v; } void init() { read(n); tot = 0, memset(now, 0, sizeof(now)); for (int u, v, i = 1; i <= n; i++) { read(u), u++, read(v), v++; link(u, v), link(v, u), du[u]++, du[v]++; } } void topsort() { int q[N], top; top = 0; for (int i = 1; i <= n; i++) if (du[i] == 1) q[++top] = i; for (int i = 1; i <= top; i++) { int x = q[i]; for (int j = now[x]; j; j = prep[j]) { int y = son[j]; if ((--du[y]) == 1) q[++top] = y; } } len = n - top; } int d1[N], d2[N]; bool vis[N]; void dfs(int x, int y) { if (!d1[x]) d1[x] = y; else d2[x] = y; vis[x] = 1; for (int i = now[x]; i; i = prep[i]) { int to = son[i]; if (!vis[to]) dfs(to, y + 1); } vis[x] = 0; } void solve() { ans = 0; for (int i = 1; i <= n; i++) { memset(d1, 0, sizeof(d1)); memset(d2, 0, sizeof(d2)); dfs(i, 1); for (int j = 1; j <= n; j++) { if (!d2[j]) ans += 1.0 / d1[j]; else ans += 1.0 / d1[j] + 1.0 / d2[j] - 2.0 / (d1[j] + d2[j] - 2 + len); } } printf("%.7lf\n", ans); } void judge() { freopen("dierti.in", "r", stdin); freopen("dierti.out", "w", stdout); } int main() { init(); topsort(); solve(); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int inf = 1e9; const int NN = 3011; inline int read() { int t = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') f = (ch == '-') ? -1 : 1, ch = getchar(); while (ch >= '0' && ch <= '9') t = t * 10 + ch - '0', ch = getchar(); return t * f; } double ans = 0; int n, tot = 0, a[NN << 1], num[NN], fa[NN]; bool huan[NN], vt[NN]; int cc = 1, to[NN << 1], nex[NN << 1], o[NN]; inline void add(int x, int y) { to[++cc] = y, nex[cc] = o[x], o[x] = cc; to[++cc] = x, nex[cc] = o[y], o[y] = cc; } bool dfs(int x, int pre) { vt[x] = 1; for (int k = o[x]; k; k = nex[k]) { if ((k ^ 1) == pre) continue; int y = to[k]; if (vt[y]) { a[++tot] = y, huan[y] = 1; while (x != y) huan[x] = 1, a[++tot] = x, x = fa[x]; return 1; } fa[y] = x; if (dfs(y, k)) return 1; } return 0; } void work(int x, int t1, int t2) { vt[x] = 1; if (t2 < 0) ans += 1.0 / t1; else ans += 1.0 / t1 + 1.0 / t2 - 1.0 / ((t1 + t2 - 2 - tot) / 2 + tot); if (huan[x] && t2 < 0 && tot > 1) { int now = num[x]; for (int i = now + 1; i <= now + tot - 1; i++) vt[a[i]] = 1; for (int i = 1; i <= tot - 1; i++) work(a[now + i], t1 + i, t1 + tot - i); } for (int k = o[x]; k; k = nex[k]) { int y = to[k]; if (vt[y]) continue; work(y, t1 + 1, t2 + 1); } } int main() { n = read(); for (int i = 1; i <= n; i++) add(read() + 1, read() + 1); dfs(1, 0); for (int i = 1; i <= tot; i++) a[tot + i] = a[i], num[a[i]] = i; for (int i = 1; i <= n; i++) { memset(vt, 0, sizeof(bool) * (n + 10)); work(i, 1, -inf); } printf("%.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 3005; int n, ai, bi; vector<int> G[MAXN]; int deg[MAXN]; vector<pair<int, int> > C[MAXN]; int nxt(int i, int p) { for (int j : G[i]) if (deg[j] == 2) { if (j == p) continue; return j; } return -1; } double prob(int d) { return 2.0 / d; } int main() { scanf("%d", &n); for (int i = 0; i < n; i++) { scanf("%d %d", &ai, &bi); G[ai].push_back(bi); G[bi].push_back(ai); deg[ai]++; deg[bi]++; } for (int i = 0; i < n; i++) C[i].push_back({i, 1}); queue<int> q; for (int i = 0; i < n; i++) if (deg[i] == 1) q.push(i); double totalCost = n; while (!q.empty()) { int u = q.front(); q.pop(); for (int v : G[u]) { if (deg[v] == 1) continue; deg[v]--; if (deg[v] == 1) q.push(v); for (pair<int, int> a : C[v]) for (pair<int, int> b : C[u]) { int d = a.second + b.second; totalCost += prob(d); } for (pair<int, int> b : C[u]) C[v].push_back({b.first, b.second + 1}); } } int cycleSize = 0; for (int i = 0; i < n; i++) cycleSize += (deg[i] == 2); for (int i = 0; i < n; i++) if (deg[i] == 2) { int v = nxt(i, i), p = i, vd = 0; while (v != i) { if (i < v) { for (pair<int, int> a : C[i]) for (pair<int, int> b : C[v]) { int d = a.second + b.second + vd; int d2 = a.second + b.second + (cycleSize - vd - 2); int ud = a.second + b.second + cycleSize - 2; totalCost += prob(d); totalCost += prob(d2); totalCost -= prob(ud); } } int nv = nxt(v, p); p = v; v = nv; vd++; } } printf("%.15f\n", totalCost); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int MXN = 100005; int N, loid[MXN], islolo[MXN]; int bln[MXN], dep[MXN]; vector<int> E[MXN]; vector<int> lolo; int ins[MXN]; vector<int> stk; long double ans; bool DFS1(int u, int f) { ins[u] = 1; stk.push_back(u); for (auto v : E[u]) { if (v == f) continue; if (ins[v]) { while (stk.back() != v) { lolo.push_back(stk.back()); stk.pop_back(); } lolo.push_back(v); return 1; } if (DFS1(v, u)) return 1; } ins[u] = 0; stk.pop_back(); return 0; } void DFS(int u, int f, int d, int bid) { dep[u] = d; bln[u] = bid; for (auto v : E[u]) { if (v == f) continue; if (islolo[v]) continue; DFS(v, u, d + 1, bid); } } void calc(int u, int f, int d) { ans += 1.0 / d; for (auto v : E[u]) { if (v == f) continue; if (islolo[v] and bln[u] != v) continue; calc(v, u, d + 1); } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); ; cin >> N; for (int i = 0; i < (N); i++) { int u, v; cin >> u >> v; E[u].push_back(v); E[v].push_back(u); } DFS1(0, 0); for (int i = 0; i < (((int)((lolo).size()))); i++) { int v = lolo[i]; loid[v] = i; islolo[v] = 1; } for (auto v : lolo) DFS(v, v, 1, v); ans = 0; for (int i = 0; i < (N); i++) calc(i, i, 1); for (int i = 0; i < (N); i++) for (int j = 0; j < (N); j++) { if (i == j) continue; if (bln[i] == bln[j]) continue; int d1 = abs(loid[bln[i]] - loid[bln[j]]); int d2 = ((int)((lolo).size())) - d1; d1--; d2--; ans += 1.0 / (dep[i] + dep[j] + d1); ans += 1.0 / (dep[i] + dep[j] + d2); ans -= 1.0 / (dep[i] + dep[j] + d1 + d2); } cout << fixed << setprecision(10) << ans << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n, m, dep[5000], id[5000], cnt, sum, acc[5000], lca[3020][3020], f[5000]; int dfn[5000], low[5000], ist[5000], belong[5000], tot[5000], maxid; double Ans; stack<int> a; vector<int> v[5000]; inline void tarjan(int x, int fa) { dfn[x] = low[x] = ++cnt; a.push(x); ist[x] = 1; for (int i = 0; i < v[x].size(); i++) if (v[x][i] != fa) { if (!dfn[v[x][i]]) { tarjan(v[x][i], x); low[x] = min(low[x], low[v[x][i]]); } else if (ist[v[x][i]]) { low[x] = min(low[x], dfn[v[x][i]]); } } if (low[x] == dfn[x]) { sum++; while (1) { int u = a.top(); a.pop(); ist[u] = 0; belong[u] = sum; tot[sum]++; if (u == x) break; } } } inline int sf(int x) { return f[x] == x ? x : f[x] = sf(f[x]); } inline void work(int x, int ac, int fa) { acc[x] = ac; f[x] = x; for (int i = 0; i < v[x].size(); i++) if (v[x][i] != fa && tot[belong[v[x][i]]] == 1) { dep[v[x][i]] = dep[x] + 1; work(v[x][i], ac, x); if (sf(v[x][i]) != sf(x)) f[sf(v[x][i])] = sf(x); } for (int i = 1; i <= n; i++) if (acc[i] == ac) lca[x][i] = lca[i][x] = sf(i); } inline void dfs(int x, int fa) { id[x] = id[fa] + 1, dep[x] = 1, acc[x] = x; work(x, x, x); for (int i = 0; i < v[x].size(); i++) if (v[x][i] != fa && !id[v[x][i]]) { if (tot[belong[v[x][i]]] > 1) dfs(v[x][i], x); } } int main() { int i, j, k, x, y; scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d%d", &x, &y); x++, y++; v[x].push_back(y); v[y].push_back(x); } for (i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, 0); for (i = 1; i <= n; i++) if (tot[belong[i]] > 1) { id[i] = 1; maxid = tot[belong[i]]; dfs(i, 0); break; } for (i = 1; i <= n; i++) for (j = 1; j <= n; j++) { if (acc[i] == acc[j]) Ans += 1.0 / (dep[i] + dep[j] - 2 * dep[lca[i][j]] + 1); else { int x = dep[i] + dep[j], y = abs(id[acc[i]] - id[acc[j]]) - 1, z = maxid - y - 2; Ans += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } } printf("%0.7lf\n", Ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int maxlog = 13; const int maxn = 3003; int n; vector<int> g[maxn]; bool vis[maxn], mark[maxn]; int pos[maxn], cnt; int dis[maxn], r[maxn], d[maxn][maxlog]; long double ans; void go(int v, int u) { if (mark[v]) return; for (int i = 0; v != d[u][0]; i++) { mark[v] = true; cnt++; pos[v] = i; v = d[v][0]; } } void find_cycle(int v, int par = -1) { d[v][0] = par; vis[v] = true; for (int u : g[v]) if (u != par) if (vis[u]) go(v, u); else find_cycle(u, v); } void dfs(int v, int par = -1, int root = -1) { if (par == -1) par = root = v; dis[v] = dis[par] + 1; r[v] = root; d[v][0] = par; for (int i = 1; i < maxlog; i++) d[v][i] = d[d[v][i - 1]][i - 1]; for (int u : g[v]) if (!mark[u] and u != par) dfs(u, v, root); } int dad(int v, int h) { for (int i = maxlog; i--;) if (dis[d[v][i]] >= h) v = d[v][i]; return v; } int lca(int v, int u) { if (dis[v] > dis[u]) swap(v, u); u = dad(u, dis[v]); if (v == u) return v; for (int i = maxlog; i--;) if (d[v][i] != d[u][i]) v = d[v][i], u = d[u][i]; return d[v][0]; } int pv, pu, l, l1, l2; long double f(int v, int u) { pv = pos[r[v]], pu = pos[r[u]]; if (pv == pu) { l = dis[v] + dis[u] - 2 * dis[lca(v, u)]; return 1.0 / (l + 1); } else { l = cnt; l1 = dis[v] + dis[u] - 2 + (pv - pu + l) % l; l2 = dis[v] + dis[u] - 2 + (pu - pv + l) % l; return 1.0 / (l1 + 1) + 1.0 / (l2 + 1) - 1.0 / (l + dis[v] + dis[u] - 2); } } int main() { ios::sync_with_stdio(0); cin.tie(0); cin >> n; for (int v, u, i = 0; i < n; i++) { cin >> v >> u; g[v].push_back(u); g[u].push_back(v); } find_cycle(0); for (int i = 0; i < n; i++) if (mark[i]) dfs(i); for (int i = 0; i < n; i++) for (int j = i + 1; j < n; j++) ans += f(i, j); ans = ans + ans + n; cout << setprecision(15) << fixed << ans << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3000 + 3; struct Edge { int to, nxt; } e[N << 1]; int n, cnt; int hd[N], top, q[N], tail, cur[N], c[N], pos[N], belong[N], fa[N][13], dep[N]; bool vis[N], used[N]; long double ans; inline void addedge(int x, int y) { e[++top].to = y; e[top].nxt = hd[x]; hd[x] = top; e[++top].to = x; e[top].nxt = hd[y]; hd[y] = top; } inline void find_cycle(void) { int tail, now; for (int i = 1; i <= n; ++i) cur[i] = hd[i]; for (vis[q[tail = 1] = 1] = 1; tail;) for (int& p = cur[now = q[tail]]; ~p; p = e[p].nxt) if (!used[p >> 1]) { used[p >> 1] = 1; if (vis[e[p].to]) { do c[++cnt] = q[tail--]; while (c[cnt] != e[p].to); return; } vis[q[++tail] = e[p].to] = 1; p = e[p].nxt; break; } else if (!~e[p].nxt) { --tail; break; } } inline void init(void) { find_cycle(); memset(vis, 0, sizeof vis); for (int i = 1; i <= cnt; ++i) vis[c[i]] = 1; for (int i = 1, l, r, now, p; i <= cnt; ++i) { pos[c[i]] = i; for (fa[q[l = r = 1] = c[i]][0] = -1; l <= r; ++l) { for (p = hd[now = q[l]]; ~p; p = e[p].nxt) if (!vis[e[p].to]) vis[q[++r] = e[p].to] = 1, dep[e[p].to] = dep[fa[e[p].to][0] = now] + 1; } for (int j = 1; j <= r; belong[q[j++]] = c[i]) for (int k = 0; k < 12; ++k) fa[q[j]][k + 1] = ~fa[q[j]][k] ? fa[fa[q[j]][k]][k] : -1; } } inline int lca(int x, int y) { if (dep[x] > dep[y]) swap(x, y); for (int k = 12; ~k && dep[x] != dep[y]; --k) if (~fa[y][k] && dep[fa[y][k]] >= dep[x]) y = fa[y][k]; for (int k = 12; ~k && x != y; --k) if (~fa[x][k] && ~fa[y][k] && fa[x][k] != fa[y][k]) x = fa[x][k], y = fa[y][k]; return x == y ? x : fa[x][0]; } inline void solve(int x, int y) { if (belong[x] == belong[y]) { int z = lca(x, y); ans += 1.0 / (dep[x] + dep[y] - dep[z] * 2 + 1); } else { int a = dep[x] + dep[y], b = abs(pos[belong[x]] - pos[belong[y]]) - 1, c = cnt - 2 - b; ans += 1.0 / (a + b + 2) + 1.0 / (a + c + 2) - 1.0 / (a + cnt); } } int main(int argc, char** argv) { int x, y; memset(hd, -1, sizeof hd); top = -1; scanf("%d", &n); for (int i = 1; i <= n; ++i) scanf("%d%d", &x, &y), addedge(x + 1, y + 1); init(); for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) solve(i, j); printf("%.10lf\n", (double)ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; stack<int> st; int head[333000], cnt, ins[333000], is[333000], c[333000], id[333000], le, vis[333000], ntt[333000], s1[333000], s2[333000], s3[333000], s4[333000], s5[333000], sth[2220000 * 5], lb[333000], len[333000], rev[333000], n, m, a, b, ds[333000], mx1, vl, as, sz[333000], mx2, ct2; struct edge { int t, next; } ed[333000 * 2]; void adde(int f, int t) { ed[++cnt] = (edge){t, head[f]}; head[f] = cnt; ed[++cnt] = (edge){f, head[t]}; head[t] = cnt; } int pw(int a, int p) { int ans = 1; while (p) { if (p & 1) ans = 1ll * ans * a % 998244353; a = 1ll * a * a % 998244353; p >>= 1; } return ans; } void dft(int s, int *a, int t) { for (int i = 0; i < s; i++) rev[i] = (rev[i >> 1] >> 1) + (i & 1) * s / 2; for (int i = 0; i < s; i++) ntt[rev[i]] = a[i]; for (int l = 2; l <= s; l <<= 1) { int s1 = pw(3, (998244353 - 1) / l); if (t == -1) s1 = pw(s1, 998244353 - 2); for (int j = 0; j < s; j += l) for (int k = j, st = 1; k < j + (l >> 1); k++, st = 1ll * st * s1 % 998244353) { int a1 = ntt[k], a2 = 1ll * ntt[k + (l >> 1)] * st % 998244353; ntt[k] = a1 + a2 - (a1 + a2 >= 998244353 ? 998244353 : 0); ntt[k + (l >> 1)] = a1 - a2 + (a1 < a2 ? 998244353 : 0); } } int inv = pw(s, t == -1 ? 998244353 - 2 : 0); for (int i = 0; i < s; i++) a[i] = 1ll * ntt[i] * inv % 998244353; } void dfs0(int u, int fa) { ins[u] = 1; st.push(u); for (int i = head[u]; i && !le; i = ed[i].next) if (ed[i].t != fa) { if (ins[ed[i].t]) { while (1) { int a = st.top(); st.pop(); c[++le] = a; if (a == ed[i].t) break; } } else dfs0(ed[i].t, u); } if (!st.empty() && st.top() == u) st.pop(); } void dfs1(int u, int fa) { sz[u] = 1; int mx = 0; for (int i = head[u]; i; i = ed[i].next) if (ed[i].t != fa && !vis[ed[i].t]) dfs1(ed[i].t, u), mx = max(mx, sz[ed[i].t]), sz[u] += sz[ed[i].t]; mx = max(mx, vl - sz[u]); if (mx < mx1) mx1 = mx, as = u; } void dfs2(int u, int fa) { ds[u] = ds[fa] + 1; s2[ds[u]]++; if (mx2 < ds[u]) mx2 = ds[u]; for (int i = head[u]; i; i = ed[i].next) if (ed[i].t != fa && !vis[ed[i].t]) dfs2(ed[i].t, u); } void work(int u) { int mx = 0; ds[u] = 0; for (int i = head[u]; i; i = ed[i].next) if (!vis[ed[i].t]) { mx2 = 0; dfs2(ed[i].t, u); for (int i = 1; i <= mx2; i++) s1[i] += s2[i], s3[i] = s2[i], s2[i] = 0; int l = 1; while (l <= mx2 * 2) l <<= 1; for (int i = mx2 + 1; i < l; i++) s3[i] = 0; dft(l, s3, 1); for (int i = 0; i < l; i++) s3[i] = 1ll * s3[i] * s3[i] % 998244353; dft(l, s3, -1); for (int i = 0; i < l; i++) s4[i] = (s4[i] - s3[i] + 998244353) % 998244353; if (mx < mx2) mx = mx2; } int l = 1; while (l <= mx * 2) l <<= 1; for (int i = mx + 1; i < l; i++) s1[i] = 0; dft(l, s1, 1); for (int i = 0; i < l; i++) s1[i] = 1ll * s1[i] * (s1[i] + 2) % 998244353; dft(l, s1, -1); for (int i = 0; i < l; i++) s4[i] = (s4[i] + s1[i]) % 998244353, s1[i] = 0; return; } void dfs3(int u) { vis[u] = 1; work(u); for (int i = head[u]; i; i = ed[i].next) if (!vis[ed[i].t]) { vl = sz[ed[i].t], mx1 = 1e9; dfs1(ed[i].t, u); dfs3(as); } } void fz1(int l, int r) { if (l >= r) return; int mid = (l + r) >> 1; int m1 = 0, m2 = 0; for (int i = l; i <= mid; i++) m1 = max(len[i] + mid - i, m1); for (int i = mid + 1; i <= r; i++) m2 = max(len[i] + i - mid - 1, m2); for (int i = 0; i <= m1; i++) s1[i] = 0; for (int i = 0; i <= m2; i++) s2[i] = 0; for (int i = l; i <= mid; i++) for (int j = 0; j <= len[i]; j++) s1[mid - i + j] += sth[j + lb[i]]; for (int i = mid + 1; i <= r; i++) for (int j = 0; j <= len[i]; j++) s2[i - mid - 1 + j] += sth[j + lb[i]]; int s = 1; while (s <= m1 + m2) s <<= 1; for (int i = m1 + 1; i < s; i++) s1[i] = 0; for (int i = m2 + 1; i < s; i++) s2[i] = 0; dft(s, s1, 1); dft(s, s2, 1); for (int i = 0; i < s; i++) s1[i] = 2ll * s1[i] * s2[i] % 998244353; dft(s, s1, -1); for (int i = 0; i < s; i++) s4[i + 1] = (s4[i + 1] + s1[i]) % 998244353; fz1(l, mid); fz1(mid + 1, r); } void fz2(int l, int r) { if (l >= r) return; int mid = (l + r) >> 1; int m1 = 0, m2 = 0; for (int i = l; i <= mid; i++) m1 = max(len[i] + i - l, m1); for (int i = mid + 1; i <= r; i++) m2 = max(len[i] + r - i, m2); for (int i = 0; i <= m1; i++) s1[i] = 0; for (int i = 0; i <= m2; i++) s2[i] = 0; for (int i = l; i <= mid; i++) for (int j = 0; j <= len[i]; j++) s1[i - l + j] += sth[j + lb[i]]; for (int i = mid + 1; i <= r; i++) for (int j = 0; j <= len[i]; j++) s2[r - i + j] += sth[j + lb[i]]; int s = 1; while (s <= m1 + m2) s <<= 1; for (int i = m1 + 1; i < s; i++) s1[i] = 0; for (int i = m2 + 1; i < s; i++) s2[i] = 0; dft(s, s1, 1); dft(s, s2, 1); for (int i = 0; i < s; i++) s1[i] = 2ll * s1[i] * s2[i] % 998244353; dft(s, s1, -1); for (int i = 0; i < s; i++) s4[i + le - r + l] = (s4[i + le - r + l] + s1[i]) % 998244353; fz2(l, mid); fz2(mid + 1, r); } int main() { scanf("%d", &n); m = n; for (int i = 1; i <= m; i++) scanf("%d%d", &a, &b), adde(a + 1, b + 1); { dfs0(1, 0); for (int i = 1; i <= le; i++) { vis[c[i == 1 ? le : i - 1]] = 1, vis[c[i == le ? 1 : i + 1]] = 1; vis[c[i]] = 0; ds[0] = -1; mx2 = 0; dfs2(c[i], 0); lb[i] = ++ct2; len[i] = mx2; ct2 += mx2; for (int j = 0; j <= mx2; j++) sth[j + lb[i]] = s2[j], s5[j] += s2[j], s3[j] = s2[j], s2[j] = 0; int l = 1; while (l <= mx2 * 2) l <<= 1; for (int j = mx2 + 1; j < l; j++) s3[j] = 0; dft(l, s3, 1); for (int j = 0; j < l; j++) s3[j] = 1ll * s3[j] * s3[j] % 998244353; dft(l, s3, -1); for (int j = 0; j < l; j++) s4[j + le - 1] = (s4[j + le - 1] + s3[j]) % 998244353, s3[j] = 0; dfs3(c[i]); } fz1(1, le); fz2(1, le); int l = 1; while (l <= n * 2) l <<= 1; dft(l, s5, 1); for (int i = 0; i < l; i++) s5[i] = 1ll * s5[i] * s5[i] % 998244353; dft(l, s5, -1); for (int j = 0; j < l; j++) s4[j + le - 1] = (s4[j + le - 1] - s5[j] + 998244353) % 998244353; double ans = 0; for (int i = 1; i <= n; i++) ans = (ans + 1.0 * (s4[i] > 1e7 ? s4[i] - 998244353 : s4[i]) / (i + 1)); printf("%.10lf\n", ans + n); } }
10
CPP
#include <bits/stdc++.h> using namespace std; int head[5010]; int from[5010]; int to[100010]; int nex[100010]; int dep[5010]; int q[5010]; int cnt; int vis[5010]; int bel[5010]; int num[100010]; double ans; int tot; int x, y, n, m; int f[5010][17]; void add(int x, int y, int z) { nex[++tot] = head[x]; head[x] = tot; to[tot] = y; num[tot] = z; } bool dfs(int x, int fa) { vis[x] = 1; for (int i = head[x]; i; i = nex[i]) { if (num[i] != fa) { if (vis[to[i]]) { for (int j = x; j != to[i]; j = from[j]) { q[++cnt] = j; } q[++cnt] = to[i]; return true; } else { from[to[i]] = x; if (dfs(to[i], num[i])) { return true; } } } } return false; } void find(int x, int fa, int rt) { bel[x] = rt; dep[x] = dep[fa] + 1; f[x][0] = fa; for (int i = 1; i <= 15; i++) { f[x][i] = f[f[x][i - 1]][i - 1]; } for (int i = head[x]; i; i = nex[i]) { if (to[i] != fa && !vis[to[i]]) { find(to[i], x, rt); } } } int lca(int x, int y) { if (dep[x] < dep[y]) { swap(x, y); } int d = dep[x] - dep[y]; for (int i = 0; i <= 15; i++) { if (d & (1 << i)) { x = f[x][i]; } } if (x == y) { return x; } for (int i = 15; i >= 0; i--) { if (f[x][i] != f[y][i]) { x = f[x][i]; y = f[y][i]; } } return f[x][0]; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d", &x, &y); x++, y++; add(x, y, i); add(y, x, i); } dfs(1, 0); memset(vis, 0, sizeof(vis)); if (cnt == 0) { q[++cnt] = 1; } for (int i = 1; i <= cnt; i++) { vis[q[i]] = 1; } for (int i = 1; i <= cnt; i++) { find(q[i], 0, i); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { if (bel[i] == bel[j]) { ans += (double)1 / (dep[i] + dep[j] - 2 * dep[lca(i, j)] + 1); } else { int X = dep[i] + dep[j]; int Y = abs(bel[i] - bel[j]) - 1; int Z = cnt - Y - 2; ans += (double)1 / (X + Y) + (double)1 / (X + Z) - (double)1 / (X + Y + Z); } } } printf("%.7f", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3005; int n, fa[N], dfn[N], ord, mark[N], len, vis[N]; vector<int> G[N]; void dfs(int u) { dfn[u] = ++ord; for (auto& v : G[u]) if (v ^ fa[u]) { if (!dfn[v]) { fa[v] = u; dfs(v); } else if (dfn[v] < dfn[u]) { for (int p = u; p != fa[v]; p = fa[p]) mark[p] = 1, ++len; } } } double ans; void dfs1(int u, int x, int y) { vis[u] = 1; ++x; if (!y) ans += 1.0 / x; else { ans += 1.0 / x; ans += 1.0 / (len - y - y + x); ans -= 1.0 / (x + len - y - 1); } for (auto& v : G[u]) if (!vis[v]) dfs1(v, x, y + (mark[u] && mark[v])); } int main() { scanf("%d", &n); for (int i = 1, a, b; i <= n; i++) { scanf("%d%d", &a, &b); ++a; ++b; G[a].push_back(b); G[b].push_back(a); } dfs(1); for (int i = 1; i <= n; i++) { fill(vis, vis + 1 + n, 0); dfs1(i, 0, 0); } printf("%.9f", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; template <class T> using vec = vector<T>; template <typename Iter> ostream &_IterOutput_(ostream &o, Iter b, Iter e, const string ss = "", const string se = "") { o << ss; for (auto it = b; it != e; it++) o << (it == b ? "" : ", ") << *it; return o << se; } template <typename T1, typename T2> ostream &operator<<(ostream &o, const pair<T1, T2> &pair) { return o << "(" << pair.first << ", " << pair.second << ")"; } template <typename T> ostream &operator<<(ostream &o, const vector<T> &vec) { return _IterOutput_(o, begin(vec), end(vec), "[", "]"); } template <typename T> ostream &operator<<(ostream &o, const set<T> &st) { return _IterOutput_(o, begin(st), end(st), "{", "}"); } template <typename T, size_t N> ostream &operator<<(ostream &o, const array<T, N> &arr) { return _IterOutput_(o, begin(arr), end(arr), "|", "|"); } template <typename T1, typename T2> ostream &operator<<(ostream &o, const map<T1, T2> &mp) { o << "{"; for (auto it = mp.begin(); it != mp.end(); it++) { o << (it == mp.begin() ? "" : ", ") << it->first << ":" << it->second; } o << "}"; return o; } const int MX = 5555; int N; vector<int> el[MX]; bool ins[MX]; stack<int> st; vector<int> lop; bool dfs(int u, int fa) { ins[u] = 1; st.push(u); for (auto v : el[u]) { if (v == fa) continue; if (ins[v]) { int w; do { w = st.top(); st.pop(); lop.push_back(w); } while (w != v); return 1; } if (dfs(v, u)) return 1; } return 0; } bool islop[MX]; int lopId[MX]; int fath[MX]; vector<int> lopCh[MX]; double ans; void dfs2(int u, int fa, int d, int id) { lopCh[id].push_back(d); fath[u] = id; for (auto v : el[u]) { if (v == fa) continue; if (islop[v]) continue; dfs2(v, u, d + 1, id); } } void dfs3(int u, int fa, int d) { ans += 1.0 / d; for (auto v : el[u]) { if (v == fa) continue; if (islop[v] && v != fath[u]) { continue; } dfs3(v, u, d + 1); } } int32_t main() { do { ios_base::sync_with_stdio(0); cin.tie(0); } while (0); cin >> N; for (int i = 0; i < N; i++) { int u, v; cin >> u >> v; el[u].push_back(v); el[v].push_back(u); } dfs(0, -1); assert(((int)(lop).size())); int lll = 0; for (auto v : lop) { islop[v] = 1; lopId[v] = ++lll; } for (auto v : lop) { dfs2(v, -1, 1, v); } for (int i = 0; i < N; i++) { dfs3(i, -1, 1); } for (auto u : lop) { for (auto v : lop) { if (u == v) continue; int d1 = abs(lopId[u] - lopId[v]), d2 = lll - d1; d1--; d2--; for (auto x : lopCh[u]) { for (auto y : lopCh[v]) { ans += 1.0 / (x + y + d1); ans += 1.0 / (x + y + d2); ans -= 1.0 / (x + y + d1 + d2); } } } } cout << fixed << setprecision(10) << ans << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 3000 + 10; namespace opt { int N; const int alp = 999, MOD = 1004535809; static int a[MAXN], b[MAXN], w[MAXN], tmp[MAXN]; int Pow(int a, int b) { int d = 1; for (; b; d = (b & 1) ? (long long)d * a % MOD : d, a = (long long)a * a % MOD, b /= 2) ; return d; } void FFT(int *a, int S, int d) { if (d == N) return; FFT(a, S, d << 1); FFT(a, S + d, d << 1); for (int i = S, j = S, p = 0; i < N / 2; i += d, j += d << 1, p += d) { int G = a[j], K = a[j + d]; tmp[i] = ((long long)G + (long long)w[p] * K) % MOD; tmp[i + N / 2] = ((long long)G + (long long)w[p + N / 2] * K) % MOD; } for (int i = S; i < N; i += d) a[i] = tmp[i]; } void conv(int *aa, int *bb, int *c, int n) { for (int i = 0; i < n; ++i) a[i] = aa[i], b[i] = bb[i]; if (n <= 5) { for (int i = 0; i < n * 2; ++i) c[i] = 0; for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) c[i + j] += a[i] * b[j]; for (int i = 0; i < n; ++i) a[i] = b[i] = 0; return; } N = 1; for (; N < n; N <<= 1) ; N <<= 1; w[0] = 1; w[1] = alp; for (int i = N; i <= (1 << 19); i <<= 1, w[1] = (long long)w[1] * w[1] % MOD) ; for (int i = 2; i < N; ++i) w[i] = (long long)w[i - 1] * w[1] % MOD; FFT(a, 0, 1); FFT(b, 0, 1); for (int i = 0; i < N; ++i) a[i] = (long long)a[i] * b[i] % MOD; for (int i = 0; i < N; ++i) b[i] = a[i ? (N - i) : 0]; FFT(b, 0, 1); int InvN = Pow(N, MOD - 2); for (int i = 0; i < N; ++i) c[i] = (long long)b[i] * InvN % MOD, a[i] = b[i] = 0; } } // namespace opt vector<int> L; struct Graph { int id, next; bool flag; } g[MAXN * 2]; int st[MAXN], dep[MAXN], bel[MAXN], n, f[MAXN][MAXN], num[MAXN], fa[MAXN]; bool vis[MAXN]; void Add(int tot, int x, int y) { g[tot].id = y, g[tot].next = st[x], st[x] = tot, g[tot].flag = true; } bool mark[MAXN]; int head, tail, que[MAXN], size[MAXN], h[MAXN]; void work(int x, int y) { for (int i = x; i; i = fa[i]) mark[i] = true; for (int i = y; i; i = fa[i]) { L.push_back(i); if (mark[i]) { mark[i] = false; break; } } reverse(L.begin(), L.end()); for (int i = x; mark[i]; i = fa[i]) L.push_back(i); } void Find_Loop(int S) { head = 0, tail = 1, que[1] = S; fa[S] = 0; vis[S] = true; while (head < tail) { int x = que[++head]; for (int i = st[x]; i != -1; i = g[i].next) if (g[i].id != fa[x]) if (vis[g[i].id]) { work(x, g[i].id); return; } else vis[g[i].id] = true, fa[g[i].id] = x, que[++tail] = g[i].id; } } void init() { scanf("%d", &n); memset(st, -1, sizeof(st)); for (int i = 1; i <= n; ++i) { int x, y; scanf("%d%d", &x, &y); ++x, ++y; Add(i * 2, x, y); Add(i * 2 + 1, y, x); } Find_Loop(1); memset(mark, 0, sizeof(mark)); for (int i = 0; i < (int)L.size(); ++i) mark[L[i]] = true; for (int i = 0; i < (int)L.size(); ++i) for (int j = st[L[i]]; j != -1; j = g[j].next) if (mark[g[j].id]) g[j].flag = false; memset(vis, 0, sizeof(vis)); } double Tohka; void BFS(int S) { head = 0, tail = 1, que[1] = S; dep[S] = 0; vis[S] = true; while (head < tail) { int x = que[++head]; for (int i = st[x]; i != -1; i = g[i].next) if (g[i].flag && !vis[g[i].id]) vis[g[i].id] = true, dep[g[i].id] = dep[x] + 1, que[++tail] = g[i].id; } for (int t = tail; t >= 1; --t) { int x = que[t]; vis[x] = false; size[x] = 1; for (int i = st[x]; i != -1; i = g[i].next) if (g[i].flag && !vis[g[i].id]) size[x] += size[g[i].id]; } } int Count(int x, int *f) { BFS(x); for (int i = 1; i <= tail; ++i) ++f[dep[que[i]]]; int Tohka = 0; while (f[Tohka]) ++Tohka; return Tohka; } int Find_G(int x) { BFS(x); for (int t = tail; t >= 1; --t) { int x = que[t]; bool flag = true; for (int i = st[x]; i != -1; i = g[i].next) if (g[i].flag) if (size[g[i].id] < size[x] && size[g[i].id] > tail / 2) flag = false; if (flag && tail - size[x] <= tail / 2) return x; } } int Kurumi; int cnt[100]; void Calc(int *h, int n, int delta, int p, bool flag) { for (int i = 0; i < n; ++i) Tohka += (double)p * 1.0 / (i + delta) * h[i] * Kurumi, h[i] = (!flag) ? 0 : h[i]; } void solve(int dep, int x, int n) { int G = Find_G(x); int len = Count(G, h); opt::conv(h, h, h, len); Calc(h, len * 2, 1, 1, 0); for (int i = st[G]; i != -1; i = g[i].next) if (g[i].flag) { g[i].flag = g[i ^ 1].flag = false; len = Count(g[i].id, h); opt::conv(h, h, h, len); Calc(h, len * 2, 3, -1, 0); solve(dep + 1, g[i].id, size[g[i].id]); } } void solve() { Kurumi = 1; for (int i = 0; i < (int)L.size(); ++i) { num[i] = Count(L[i], f[i]); solve(0, L[i], size[L[i]]); } Kurumi = 2; for (int i = 0; i < (int)L.size(); ++i) for (int j = i + 1; j < (int)L.size(); ++j) { int y = j - i - 1, z = (i - j + (int)L.size()) - 1; opt::conv(f[i], f[j], h, max(num[i], num[j])); int len = max(num[i], num[j]) * 2; Calc(h, len, y + 2, 1, 1); Calc(h, len, z + 2, 1, 1); Calc(h, len, y + z + 2, -1, 0); } printf("%.10lf\n", Tohka); } int main() { init(); solve(); fclose(stdin); fclose(stdout); return 0; }
10
CPP
#include <bits/stdc++.h> const int MAXN = 3005, MAXLOG = 15; template <typename _T> void read(_T &x) { x = 0; char s = getchar(); int f = 1; while (s > '9' || s < '0') { if (s == '-') f = -1; s = getchar(); } while (s >= '0' && s <= '9') { x = (x << 3) + (x << 1) + (s - '0'), s = getchar(); } x *= f; } template <typename _T> void write(_T x) { if (x < 0) { putchar('-'); x = (~x) + 1; } if (9 < x) { write(x / 10); } putchar(x % 10 + '0'); } template <typename _T> _T ABS(const _T a) { return a < 0 ? -a : a; } struct edge { int to, nxt; } Graph[MAXN << 1]; int f[MAXN][MAXLOG]; int sta[MAXN], top; int cir[MAXN]; int head[MAXN], dep[MAXN], col[MAXN]; int N, lg2, cnt, siz; bool inSta[MAXN], onCir[MAXN]; void balance(int &u, const int steps) { for (int i = 0; (1 << i) <= steps; i++) if (steps & (1 << i)) u = f[u][i]; } void addEdge(const int from, const int to) { Graph[++cnt].to = to, Graph[cnt].nxt = head[from]; head[from] = cnt; } bool findCircle(const int u, const int fr) { if (inSta[u]) { int v; do onCir[cir[++siz] = v = sta[top--]] = true; while (v ^ u); return true; } inSta[sta[++top] = u] = true; for (int i = head[u], v; i; i = Graph[i].nxt) { v = Graph[i].to; if (v ^ fr && findCircle(v, u)) return true; } inSta[sta[top--]] = false; return false; } void DFS(const int u, const int fa, const int c) { col[u] = c, f[u][0] = fa, dep[u] = dep[fa] + 1; for (int i = head[u], v; i; i = Graph[i].nxt) if ((v = Graph[i].to) ^ fa && !onCir[v]) DFS(v, u, c); } void init() { lg2 = log2(N); for (int j = 1; j <= lg2; j++) for (int i = 1; i <= N; i++) f[i][j] = f[f[i][j - 1]][j - 1]; } int LCA(int u, int v) { if (dep[u] > dep[v]) balance(u, dep[u] - dep[v]); if (dep[v] > dep[u]) balance(v, dep[v] - dep[u]); if (u == v) return u; for (int i = lg2; ~i; i--) if (f[u][i] ^ f[v][i]) u = f[u][i], v = f[v][i]; return f[u][0]; } int dist(const int u, const int v) { return dep[u] + dep[v] - 2 * dep[LCA(u, v)] + 1; } int main() { read(N); for (int i = 1, fr, to; i <= N; i++) read(fr), read(to), fr++, to++, addEdge(fr, to), addEdge(to, fr); findCircle(1, 0); for (int i = 1; i <= siz; i++) DFS(cir[i], 0, i); init(); double ans = 0; for (int i = 1; i <= N; i++) for (int j = 1; j <= N; j++) { if (col[i] == col[j]) ans += 1.0 / dist(i, j); else { int lin = dep[i] + dep[j], lef = ABS(col[i] - col[j]) - 1, rig = siz - 2 - lef; ans += 1.0 / (lin + lef) + 1.0 / (lin + rig) - 1.0 / (lin + lef + rig); } } printf("%.15lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 3010; const int MAXE = MAXN << 1; int N; int e[MAXE], enxt[MAXE], head[MAXN], ec; void regi(int u, int v) { e[++ec] = v; enxt[ec] = head[u]; head[u] = ec; } int visId[MAXN]; vector<int> Loop, stk; bool FindLoop(int ths, int prev) { if (visId[ths] != -1) { Loop = vector<int>(stk.begin() + visId[ths], stk.end()); return true; } visId[ths] = stk.size(); stk.push_back(ths); bool Flag = false; for (int E = head[ths]; E; E = enxt[E]) if ((prev != e[E]) && (FindLoop(e[E], ths))) { Flag = true; break; } stk.pop_back(); visId[ths] = -1; return Flag; } int Dist[MAXN], Color[MAXN], Father[MAXN], LoopAddress[MAXN]; int Ance[MAXN][13]; void dfs(int cur, int color, int dist, int father) { Dist[cur] = dist; Color[cur] = color; Father[cur] = father; Ance[cur][0] = father; for (int i = 1; i <= 12; i++) Ance[cur][i] = Ance[Ance[cur][i - 1]][i - 1]; for (int E = head[cur]; E; E = enxt[E]) if (Dist[e[E]] > dist + 1) dfs(e[E], color, dist + 1, cur); } int lca(int u, int v) { if (Dist[u] > Dist[v]) swap(u, v); while (Dist[u] != Dist[v]) v = Ance[v][__builtin_ctz(Dist[v] - Dist[u])]; if (u == v) return u; for (int lv = 31 - __builtin_clz(Dist[u]); lv >= 0; lv--) if (Ance[u][lv] != Ance[v][lv]) { u = Ance[u][lv]; v = Ance[v][lv]; } return Father[u]; } void MakeDistance() { int i; for (i = 0; i <= 12; i++) Ance[0][i] = 0; for (i = 1; i <= N; i++) Dist[i] = 2333333; for (vector<int>::iterator it = Loop.begin(); it != Loop.end(); it++) Dist[*it] = 0; for (vector<int>::iterator it = Loop.begin(); it != Loop.end(); it++) dfs(*it, *it, 0, 0); } int main() { scanf("%d", &N); int i, j; for (i = 1; i <= N; i++) head[i] = 0; ec = 0; for (i = 1; i <= N; i++) { int u, v; scanf("%d%d", &u, &v); regi(u + 1, v + 1); regi(v + 1, u + 1); } for (i = 1; i <= N; i++) visId[i] = -1; stk.clear(); FindLoop(1, 0); for (i = 1; i <= N; i++) LoopAddress[i] = -1; for (i = 0; i <= Loop.size() - 1; i++) LoopAddress[Loop[i]] = i; MakeDistance(); double Ans = 0; for (i = 1; i <= N; i++) for (j = 1; j <= N; j++) if (Color[i] == Color[j]) Ans += 1.0 / (Dist[i] + Dist[j] - 2 * Dist[lca(i, j)] + 1); else { int MS, B1, B2; MS = Dist[i] + Dist[j] + 2; B1 = abs(LoopAddress[Color[i]] - LoopAddress[Color[j]]) - 1; B2 = Loop.size() - 2 - B1; Ans += 1.0 / (MS + B1); Ans += 1.0 / (MS + B2); Ans -= 1.0 / (MS + B1 + B2); } printf("%.14f\n", Ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int inf = 1e9; const long long Inf = 1e10; const int N = 100005; const int P = 1000000007; int IN() { int x = 0; int f = 0, ch = 0; for ((ch = getchar()); ch < 48 || ch > 57; (ch = getchar())) f = (ch == '-'); for (; ch >= 48 && ch <= 57; (ch = getchar())) x = (x << 1) + (x << 3) + ch - 48; return f ? (-x) : x; } int Pow(int x, int y, int p) { int A = 1; for (; y; y >>= 1, x = (long long)x * x % p) if (y & 1) A = (long long)A * x % p; return A; } int n, F[N], eu, ev, dep[N], B[N]; struct edge { int v, pre; } e[N]; int dex, adj[N]; int sz; int get(int x) { if (F[x] == x) return x; return F[x] = get(F[x]); } int fa[20][3005]; void DFS2(int x, int f) { for (int i = adj[x]; i; i = e[i].pre) { int v = e[i].v; if (B[v] == v) continue; if (v == f) continue; B[v] = B[x]; dep[v] = dep[x] + 1; fa[0][v] = x; for (int i = (int)1; i <= (int)16; i++) fa[i][v] = fa[i - 1][fa[i - 1][v]]; DFS2(v, x); } } int lab[N], Q[N], r, vis[N], Pre[N], tot; void BFS(int x) { memset(vis, 0, sizeof vis); vis[Q[r = 1] = x] = 1; for (int i = (int)1; i <= (int)r; i++) { int u = Q[i]; for (int i = adj[u]; i; i = e[i].pre) { int v = e[i].v; if (vis[v]) continue; Pre[v] = u; if (!vis[v]) vis[Q[++r] = v] = 1; } } for (int i = ev; i; i = Pre[i]) { B[i] = i; lab[i] = ++tot; } } int lca(int x, int y) { if (dep[x] < dep[y]) swap(x, y); for (int i = 11; i >= 0; i--) if (dep[fa[i][x]] >= dep[y]) x = fa[i][x]; for (int i = 11; i >= 0; i--) if (fa[i][x] ^ fa[i][y]) x = fa[i][x], y = fa[i][y]; return (x == y) ? (x) : (fa[0][x]); } int main() { scanf("%d", &n); for (int i = (int)1; i <= (int)n; i++) F[i] = i; for (int i = (int)1; i <= (int)n; i++) { int u = IN() + 1, v = IN() + 1; int ux = get(u), vx = get(v); if (ux == vx) { eu = u, ev = v; continue; } e[++dex] = (edge){v, adj[u]}; adj[u] = dex; e[++dex] = (edge){u, adj[v]}; adj[v] = dex; F[ux] = vx; } BFS(eu); memset(dep, 0, sizeof dep); for (int i = (int)1; i <= (int)n; i++) if (B[i] == i) { dep[i] = 1; DFS2(i, 0); } double ans = 0; for (int i = (int)1; i <= (int)n; i++) for (int j = (int)1; j <= (int)n; j++) { if (B[i] == B[j]) { ans += 1. / (dep[i] + dep[j] - 2 * dep[lca(i, j)] + 1); } else { int X = lab[B[i]], Y = lab[B[j]]; int u = dep[i] - 1, v = dep[j] - 1; if (X < Y) swap(X, Y); ans += 1. / (u + v + X - Y + 1); ans += 1. / (u + v + Y + tot - X + 1); ans -= 1. / (u + v + tot); } } printf("%.10f\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3005; struct E { int to, next; } mem[N << 1]; int n, x, y, num, h, t, c; double ans; int head[N], d1[N], d2[N], q[N]; bool vis[N]; void add(int x, int y) { num++; mem[num].to = y; mem[num].next = head[x]; head[x] = num; } void init() { int k, u; for (int i = 1; i <= n; i++) if (d1[i] == 1) q[++t] = i; while (h < t) { k = q[++h]; for (int j = head[k]; j; j = mem[j].next) { u = mem[j].to; d1[u]--; if (d1[u] == 1) q[++t] = u; } } c = n - t; } void dfs(int k) { int u; vis[k] = 1; for (int j = head[k]; j; j = mem[j].next) { u = mem[j].to; if (vis[u]) continue; d1[u] = d1[k] + 1; if (!d2[u]) { d2[u] = d2[k] + 1; ans += 1.0 / d2[u]; } else ans += 1.0 / d1[u] - 2.0 / (d1[u] + d2[u] + c - 2); dfs(u); } vis[k] = 0; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d", &x, &y); x++; y++; add(x, y); add(y, x); d1[x]++; d1[y]++; } init(); for (int i = 1; i <= n; i++) { memset(d1, 0, sizeof(d1)); memset(d2, 0, sizeof(d2)); memset(vis, 0, sizeof(vis)); d1[i] = d2[i] = 1; dfs(i); } printf("%.6f\n", ans + n); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; template <class T> using vec = vector<T>; template <typename Iter> ostream &_IterOutput_(ostream &o, Iter b, Iter e, const string ss = "", const string se = "") { o << ss; for (auto it = b; it != e; it++) o << (it == b ? "" : ", ") << *it; return o << se; } template <typename T1, typename T2> ostream &operator<<(ostream &o, const pair<T1, T2> &pair) { return o << "(" << pair.first << ", " << pair.second << ")"; } template <typename T> ostream &operator<<(ostream &o, const vector<T> &vec) { return _IterOutput_(o, begin(vec), end(vec), "[", "]"); } template <typename T> ostream &operator<<(ostream &o, const set<T> &st) { return _IterOutput_(o, begin(st), end(st), "{", "}"); } template <typename T, size_t N> ostream &operator<<(ostream &o, const array<T, N> &arr) { return _IterOutput_(o, begin(arr), end(arr), "|", "|"); } template <typename T1, typename T2> ostream &operator<<(ostream &o, const map<T1, T2> &mp) { o << "{"; for (auto it = mp.begin(); it != mp.end(); it++) { o << (it == mp.begin() ? "" : ", ") << it->first << ":" << it->second; } o << "}"; return o; } const int MX = 5555; int N; vector<int> el[MX]; bool ins[MX]; stack<int> st; vector<int> lop; bool dfs(int u, int fa) { ins[u] = 1; st.push(u); for (auto v : el[u]) { if (v == fa) continue; if (ins[v]) { int w; do { w = st.top(); st.pop(); lop.push_back(w); } while (w != v); return 1; } if (dfs(v, u)) return 1; } return 0; } bool islop[MX]; int lopId[MX]; int fath[MX]; vector<int> lopCh[MX]; double ans; void dfs2(int u, int fa, int d, int id) { lopCh[id].push_back(d); fath[u] = id; for (auto v : el[u]) { if (v == fa) continue; if (islop[v]) continue; dfs2(v, u, d + 1, id); } } void dfs3(int u, int fa, int d) { ans += 1.0 / d; for (auto v : el[u]) { if (v == fa) continue; if (islop[v] && v != fath[u]) { continue; } dfs3(v, u, d + 1); } } int32_t main() { do { ios_base::sync_with_stdio(0); cin.tie(0); } while (0); cin >> N; for (int i = 0; i < N; i++) { int u, v; cin >> u >> v; el[u].push_back(v); el[v].push_back(u); } dfs(0, -1); assert(((int)(lop).size())); int lll = 0; for (auto v : lop) { islop[v] = 1; lopId[v] = ++lll; } for (auto v : lop) { dfs2(v, -1, 1, v); } for (int i = 0; i < N; i++) { dfs3(i, -1, 1); } for (auto u : lop) { for (auto v : lop) { if (u == v) continue; int d1 = abs(lopId[u] - lopId[v]), d2 = lll - d1; d1--; d2--; for (auto x : lopCh[u]) { for (auto y : lopCh[v]) { ans += 1.0 / (x + y + d1); ans += 1.0 / (x + y + d2); ans -= 1.0 / (x + y + d1 + d2); } } } } cout << fixed << setprecision(10) << ans << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 4011; namespace RikukiIX { int n; int xi, yi; struct sumireko { int to, ne; } e[N << 1]; int he[N], ecnt; void addline(int f, int t) { e[++ecnt].to = t; e[ecnt].ne = he[f]; he[f] = ecnt; } int sta[N], stp; int vis[N]; int sp; int onr[N], rnd[N], ra; int dis[N]; double ans; int rt; int bl[N]; void fr(int x, int f) { sta[++stp] = x, vis[x] = 1; for (int i = he[x], t = e[i].to; i; i = e[i].ne, t = e[i].to) { if (t == f) continue; if (vis[t]) { if (!sp) { sp = t; int g = 0; while (g != sp) { g = sta[stp--]; rnd[++ra] = g, onr[g] = ra; } } } else fr(t, x); } if (sta[stp] == x) sta[stp--] = 0; } void dfs(int x, int f, int r) { bl[x] = r; for (int i = he[x], t = e[i].to; i; i = e[i].ne, t = e[i].to) { if (t == f || onr[t]) continue; dis[t] = dis[x] + 1; dfs(t, x, r); } } void work(int x, int dep) { vis[x] = 1; if (x != rt) { if (bl[x] == bl[rt]) ans += (long double)1.0 / (double)dep; else { double a = dis[rt] + dis[x], b = abs(onr[bl[x]] - onr[bl[rt]]) - 1, c = ra - 2 - b; ans += (long double)1.0 / (a + b) + 1.0 / (a + c) - 1.0 / (a + b + c); } } for (int i = he[x], t = e[i].to; i; i = e[i].ne, t = e[i].to) { if (!vis[t]) work(t, dep + 1); } } int mian() { scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d%d", &xi, &yi), xi++, yi++, addline(xi, yi), addline(yi, xi); fr(1, 0); for (int i = 1; i <= ra; i++) { int x = rnd[i]; dis[x] = 1; dfs(x, 0, x); } for (int i = 1; i <= n; i++) { memset(vis, 0, sizeof(vis)); rt = i, work(i, 1); } ans += n; printf("%.10lf\n", ans); return 0; } } // namespace RikukiIX int main() { return RikukiIX::mian(); }
10
CPP
#include <bits/stdc++.h> const int sz = 3010; int vi[sz], low[sz], t; int sta[sz], top = 0; int con[sz], cir[sz]; std::vector<int> edge[sz], ed[sz]; void dfs(int x, int p) { vi[x] = low[x] = ++t; sta[top++] = x; for (int k = 0; k < edge[x].size(); k++) { int y = edge[x][k]; if (!vi[y]) dfs(y, x); if (y != p) low[x] = std::min(low[x], low[y]); } if (vi[x] == low[x]) { int y; do { y = sta[--top]; con[y] = x; } while (x != y); } return; } bool in[sz]; int fi[sz], d[sz], dd[sz], cd[sz], fa[sz]; void DFS(int x, int ff) { vi[x] = 1; fa[x] = ff; for (int k = 0; k < edge[x].size(); k++) { int y = edge[x][k]; if (in[y] || vi[y]) continue; vi[y] = 1; d[y] = d[x] + 1; DFS(y, ff); } return; } void cir_dfs(int x) { vi[x] = 1; for (int k = 0; k < edge[x].size(); k++) { int y = edge[x][k]; if ((!in[y]) || vi[y]) continue; cd[y] = cd[x] + 1; cir_dfs(y); } return; } double ans; void find_dfs(int x) { vi[x] = 1; ans += 1 / (double)(dd[x] + 1); for (int k = 0; k < edge[x].size(); k++) { int y = edge[x][k]; if (vi[y] || fa[x] != fa[y]) continue; dd[y] = dd[x] + 1; find_dfs(y); } return; } int main() { int n, k, a, b, num = 0, cir, i; scanf("%d", &n); for (k = 1; k <= n; k++) { scanf("%d%d", &a, &b); edge[a].push_back(b); edge[b].push_back(a); } dfs(0, 0); for (k = 0; k < n; k++) fi[con[k]]++; for (k = 0; k < n; k++) { if (fi[k] > 1) { cir = k; break; } } memset(vi, 0, sizeof(vi)); for (k = 0; k < n; k++) { if (con[k] == cir) { in[k] = 1; num++; } } cir_dfs(cir); for (k = 0; k < n; k++) { if (con[k] == cir) { DFS(k, k); } } ans = 0; for (k = 0; k < n; k++) { memset(vi, 0, sizeof(vi)); for (i = 0; i < n; i++) { if (fa[k] == fa[i]) continue; int c1, c2, d1, d2; d1 = d[k] + 1; d2 = d[i] + 1; c1 = abs(cd[fa[k]] - cd[fa[i]]) - 1; c2 = num - c1 - 2; int q = c1 + c2 + d1 + d2; ans += 1 / (double)q + (double)c1 / (double)q / (double)(q - c1) + (double)c2 / (double)q / (double)(q - c2); } dd[k] = 0; find_dfs(k); } printf("%.9f\n", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; vector<int> E[3005]; int deg[3005], V[3005]; int sz; double ans; void dfs(int r, int i, int A, int B) { deg[i] == 2 ? ++B : ++A; V[i] = r; if (B == sz) ans += 1.0 / (A + 2); else if (B <= 2) ans += 1.0 / (A + B); else ans += 1.0 / (A + B) + 1.0 / (A + sz - B + 2) - 1.0 / (A + sz); for (auto x : E[i]) if (V[x] != r) dfs(r, x, A, B); } int main() { ios::sync_with_stdio(0); cin.tie(0); int n; cin >> n; for (int i = 0, a, b; i < n; ++i) cin >> a >> b, E[a].push_back(b), E[b].push_back(a), ++deg[a], ++deg[b]; queue<int> Q; for (int i = 0; i < n; ++i) if (deg[i] == 1) Q.push(i); while (!Q.empty()) { auto x = Q.front(); Q.pop(); for (auto y : E[x]) { --deg[y]; if (deg[y] == 1) Q.push(y); } } for (int i = 0; i < n; ++i) if (deg[i] == 2) ++sz; fill(V, V + n, -1); for (int i = 0; i < n; ++i) dfs(i, i, 0, 0); cout << fixed; cout.precision(10); cout << ans << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n, m, flag, sum, tot, dis[3001][3001], e[100001], nt[100001], hd[100001], pa[100001], v[3001], d[3001], f[3001], sz[3001]; double ans; void build(int x, int y) { tot++; e[tot] = y; nt[tot] = hd[x]; hd[x] = tot; } void dfs(int x, int fa) { int i, y; if (v[x]) { y = fa; d[x] = 1; sum = 1; while (y != x) { sum++; d[y] = sum; y = pa[y]; } flag = 1; return; } v[x] = 1; for (i = hd[x]; i; i = nt[i]) { if (e[i] == fa) continue; pa[e[i]] = x; dfs(e[i], x); if (flag) return; } } void get(int x, int len, int fa) { int i; if (d[x] && !flag) { flag = 1; sz[fa] = len; f[fa] = d[x]; } v[x] = 1; dis[fa][x] = len; for (i = hd[x]; i; i = nt[i]) { if (v[e[i]]) continue; get(e[i], len + 1, fa); } } int main() { int i, j, x, y; scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d%d", &x, &y); x++; y++; build(x, y); build(y, x); } dfs(1, 0); for (i = 1; i <= n; i++) { flag = 0; memset(v, 0, sizeof(v)); get(i, 1, i); } for (i = 1; i <= n; i++) { for (j = 1; j <= n; j++) { if (i == j) ans += 1; else if (f[i] == f[j]) ans += 1 / (1.0 * abs(dis[i][j])); else { x = abs(f[i] - f[j]) - 1; y = sum - 2 - x; ans += 1.0 / (sz[i] + sz[j] + x) + 1.0 / (sz[i] + sz[j] + y) - 1.0 / (sz[i] + sz[j] + x + y); } } } printf("%.10lf", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3005; int q[N]; int fa[N], dep[N]; int n, co[N], dis[N]; vector<int> e[N]; double ans; void dfs(int x) { for (auto i : e[x]) if (i != fa[x]) { if (!dep[i]) { fa[i] = x; dep[i] = dep[x] + 1; dfs(i); } else if (dep[i] < dep[x]) { for (int y = x;; y = fa[y]) { q[++*q] = y; if (y == i) break; } } } } void find(int x) { for (auto i : e[x]) if (!co[i]) { co[i] = co[x]; dep[i] = dep[x] + 1; find(i); } } void SSSP(int x) { for (int i = (int)(1); i <= (int)(n); i++) dis[i] = -1; int h = 0, t = 1; q[1] = x; dis[x] = 0; while (h != t) { int x = q[++h]; for (auto i : e[x]) if (dis[i] == -1 && co[i] == co[x]) { dis[i] = dis[x] + 1; q[++t] = i; } } } int main() { scanf("%d", &n); for (int i = (int)(1); i <= (int)(n); i++) { int x, y; scanf("%d%d", &x, &y); e[++x].push_back(++y); e[y].push_back(x); } dfs(1); for (int i = (int)(1); i <= (int)(*q); i++) co[q[i]] = i, dep[q[i]] = 0; for (int i = (int)(1); i <= (int)(*q); i++) find(q[i]); for (int i = (int)(1); i <= (int)(n); i++) { SSSP(i); for (int j = (int)(i + 1); j <= (int)(n); j++) if (co[i] == co[j]) ans += 2.0 / (dis[j] + 1); else { int d1 = dep[i] + dep[j]; int d2 = (co[i] + (*q) - co[j]) % (*q); int d3 = *q - d2; ans += 2.0 / (d1 + d2 + 1); ans += 2.0 / (d1 + d3 + 1); ans -= 2.0 / (d1 + (*q)); } } printf("%.10lf\n", ans + n); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 3005; inline void read(int &x) { x = 0; int f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } x *= f; } inline void judge() { freopen("in.txt", "r", stdin); freopen("out.txt", "w", stdout); } int head[maxn], ne[maxn << 1], t[maxn << 1], S[maxn], top, cycle, num, n, belong[maxn], dis[maxn]; bool ins[maxn], ok, oncy[maxn]; double ans = 0; inline void addedge(int x, int y) { ne[++num] = head[x]; head[x] = num; t[num] = y; } inline void findcycle(int u, int fa) { S[++top] = u; ins[u] = 1; for (int i = head[u]; i != -1; i = ne[i]) if (t[i] != fa) { if (ok) return; if (ins[t[i]]) { while (S[top] != t[i]) oncy[S[top--]] = 1, cycle++; cycle++; oncy[t[i]] = 1; ok = 1; return; } findcycle(t[i], u); } top--; } inline void dfs_find(int u, int fa, int rt, int d) { belong[u] = rt; dis[u] = d; for (int i = head[u]; i != -1; i = ne[i]) if (t[i] != fa && !oncy[t[i]]) dfs_find(t[i], u, rt, d + 1); } int p, first; inline void dfs_ans(int u, int fa, int d) { if (u == belong[p]) { if (first) return; first += 1; } ans += 1.0 / (d + 1); for (int i = head[u]; i != -1; i = ne[i]) if (t[i] != fa) { dfs_ans(t[i], u, d + 1); } } int main() { read(n); for (int i = (1); i <= (n); i++) head[i] = -1; for (int i = (1); i <= (n); i++) { int a, b; read(a); read(b); a++; b++; addedge(a, b); addedge(b, a); } findcycle(1, -1); for (int i = (1); i <= (n); i++) if (oncy[i]) dfs_find(i, -1, i, 0); for (int i = (1); i <= (n); i++) p = i, first = 0, dfs_ans(i, -1, 0); for (int i = (1); i <= (n); i++) for (int j = (1); j <= (n); j++) if (belong[i] != belong[j]) ans -= 1.0 / (dis[i] + dis[j] + cycle); printf("%.23lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 3005; int N, C, cnt, d[maxn], q[maxn], head[maxn], d1[maxn], d2[maxn]; double ans; struct Data { int next, to; } data[maxn << 1]; bool vis[maxn]; void add(int x, int y) { data[++cnt] = (Data){head[x], y}; head[x] = cnt; } void dfs(int x) { vis[x] = 1; for (int i = head[x]; i; i = data[i].next) { Data &e = data[i]; if (vis[e.to]) continue; d2[e.to] = d2[x] + 1; if (!d1[e.to]) d1[e.to] = d1[x] + 1, ans += 1.0 / d1[e.to]; else ans += 1.0 / d2[e.to] - 2.0 / (d1[e.to] + d2[e.to] + C - 2); dfs(e.to); } vis[x] = 0; } int main() { scanf("%d", &N); for (int i = 1, u, v; i <= N; ++i) scanf("%d%d", &u, &v), ++u, ++v, ++d[u], ++d[v], add(u, v), add(v, u); int h = 1, t = 0; for (int i = 1; i <= N; ++i) if (d[i] == 1) q[++t] = i; while (h <= t) for (int i = head[q[h++]]; i; i = data[i].next) if ((--d[data[i].to]) == 1) q[++t] = data[i].to; C = N - t; for (int i = 1; i <= N; ++i) { memset(d1, 0, sizeof(d1)); memset(d2, 0, sizeof(d2)); d1[i] = d2[i] = 1, dfs(i); } printf("%.10lf\n", ans + N); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; template <typename T> void read(T &x) { x = 0; bool f = 0; char c = getchar(); for (; !isdigit(c); c = getchar()) if (c == '-') f = 1; for (; isdigit(c); c = getchar()) x = x * 10 + (c ^ 48); if (f) x = -x; } template <typename F> inline void write(F x, char ed = '\n') { static short st[30]; short tp = 0; if (x < 0) putchar('-'), x = -x; do st[++tp] = x % 10, x /= 10; while (x); while (tp) putchar('0' | st[tp--]); putchar(ed); } template <typename T> inline void Mx(T &x, T y) { x < y && (x = y); } template <typename T> inline void Mn(T &x, T y) { x > y && (x = y); } const int N = 3050; vector<int> vec; int To[N], h[N], to[N << 1], ne[N << 1], vis[N], tot, rt, m, n; inline void add(int x, int y) { ne[++tot] = h[x], to[h[x] = tot] = y; } void gethua(int x, int fa) { vis[x] = 1; for (int i = h[x]; i; i = ne[i]) { int y = to[i]; if (y == fa) continue; if (rt != -1) return; To[x] = y; if (vis[y]) { rt = x, vec.push_back(x); for (int t = y; t != x; t = To[t]) vec.push_back(t); return; } gethua(y, x); } } double ans; void dfs2(int x, int fa, int X, int Y, int Z) { ans = ans + 1.0 / (X + Y) + 1.0 / (X + Z) - 1.0 / (X + Y + Z); for (int i = h[x]; i; i = ne[i]) if (vis[to[i]] == -1 && to[i] != fa) dfs2(to[i], x, X + 1, Y, Z); } int jue(int x) { return x > 0 ? x : -x; } void dfs(int x, int fa, int X) { ans = ans + 1.0 / X; if (~vis[x]) { int sz = vec.size(); for (int i = 0; i < sz; i++) { if (vec[i] == x) continue; dfs2(vec[i], x, X + 1, jue(i - vis[x]) - 1, sz - jue(i - vis[x]) - 1); } for (int i = h[x]; i; i = ne[i]) if (vis[to[i]] == -1 && to[i] != fa) dfs(to[i], x, X + 1); return; } for (int i = h[x]; i; i = ne[i]) if (to[i] != fa) dfs(to[i], x, X + 1); } int main() { read(n); rt = -1; for (int i = 1, x, y; i <= n; i++) read(x), read(y), add(x, y), add(y, x); gethua(0, -1); memset(vis, -1, sizeof(vis)); for (int i = 0; i < (int)vec.size(); i++) vis[vec[i]] = i; for (int i = 0; i < n; i++) dfs(i, -1, 1); printf("%.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; vector<int> v[3005]; bool vis[3005], cir[3005]; int q, s, n; int Find_Cir(int x, int y) { vis[x] = 1; for (int i = 0; i < v[x].size(); i++) if (!vis[v[x][i]]) { int t = Find_Cir(v[x][i], x); if (t) { if (t > 0) { cir[x] = 1; s++; } return t == x ? -1 : t; } } else if (v[x][i] != y) { cir[x] = s = 1; return v[x][i]; } } double ans; void Dfs(int x) { vis[x] = 1; q += cir[x]; n++; if (q > 1) { int c = n - q + s, a = q - 2, b = s - q; ans += (double)a / c / (c - a) + (double)b / c / (c - b) + 1.0 / c; } else ans += 1.0 / n; for (int i = 0; i < v[x].size(); i++) if (!vis[v[x][i]]) Dfs(v[x][i]); n--; q -= cir[x]; } int main() { int n; scanf("%d", &n); for (int i = 1, x, y; i <= n; i++) scanf("%d%d", &x, &y), v[x + 1].push_back(y + 1), v[y + 1].push_back(x + 1); Find_Cir(1, 0); for (int i = 1; i <= n; i++) { memset(vis, 0, sizeof(vis)); Dfs(i); } printf("%.20lf\n", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; int hed[3005], to[3005 << 1], nxt[3005 << 1], q[3005], cnt, tot; bool in[3005], used[3005]; int n, deg[3005], C; double ans; void ins(int x, int y) { nxt[++tot] = hed[x]; to[tot] = y; hed[x] = tot; } void dfs(int x, int len, int lcn) { used[x] = 1; if (lcn <= 1) ans += 1.0 / len; else ans += 1.0 / len + 1.0 / (len - 2 * lcn + C + 2) - 1.0 / (len + C - lcn); for (int i = hed[x]; i; i = nxt[i]) if (!used[to[i]]) dfs(to[i], len + 1, lcn + in[to[i]]); } int main() { scanf("%d", &n); for (int u, v, i = 1; i <= n; ++i) { scanf("%d%d", &u, &v); ins(u, v); ins(v, u); ++deg[u]; ++deg[v]; } for (int i = 0; i < n; ++i) if (deg[i] == 1) q[++cnt] = i; for (int x = 1; x <= cnt; ++x) for (int i = hed[q[x]]; i; i = nxt[i]) if ((--deg[to[i]]) == 1) q[++cnt] = to[i]; for (int i = 0; i < n; ++i) if (deg[i] > 1) in[i] = 1; C = n - cnt; for (int i = 0; i < n; ++i) { memset(used, 0, sizeof(used)); dfs(i, 1, in[i]); } printf("%.8lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = (x << 3) + (x << 1) + (ch ^ 48); ch = getchar(); } return x * f; } const int N = 3005; int n, top, root, tot; struct Edge { int to; Edge *nxt; Edge(int to = 0, Edge *nxt = NULL) : to(to), nxt(nxt) {} } * head[N], pool[N << 1], *tail = pool; inline void add(int u, int v) { head[u] = new (tail++) Edge(v, head[u]); } bool vis[N]; int st[N], pos[N], dep[N], anc[N], fa[N][13]; bool flag; void find_circle(int x, int fa) { vis[x] = 1; st[++top] = x; for (Edge *i = head[x]; i; i = i->nxt) { int to = i->to; if (to == fa) continue; if (vis[to]) return (void)(root = to, flag = 1); find_circle(to, x); if (flag) return; } vis[x] = 0; top--; } void get(int x, int rot) { anc[x] = rot; dep[x] = dep[fa[x][0]] + 1; for (int i = 1; i <= 12; i++) fa[x][i] = fa[fa[x][i - 1]][i - 1]; for (Edge *i = head[x]; i; i = i->nxt) { int to = i->to; if (to == fa[x][0] || pos[to]) continue; fa[to][0] = x; get(to, rot); } } inline int LCA(int x, int y) { if (dep[x] < dep[y]) swap(x, y); for (int i = 12; i >= 0; i--) if (dep[fa[x][i]] >= dep[y]) x = fa[x][i]; if (x == y) return x; for (int i = 12; i >= 0; i--) if (fa[x][i] != fa[y][i]) x = fa[x][i], y = fa[y][i]; return fa[x][0]; } inline int dis(int x, int y) { return dep[x] + dep[y] - (dep[LCA(x, y)] << 1) + 1; } int main() { n = read(); double ans = 0; for (int i = 1, u, v; i <= n; i++) u = read() + 1, v = read() + 1, add(u, v), add(v, u); find_circle(1, 0); pos[root] = ++tot; while (st[top] != root) pos[st[top--]] = ++tot; for (int i = 1; i <= n; i++) if (pos[i]) get(i, i); for (int i = 1, x, y, z; i <= n; i++) for (int j = 1; j <= n; j++) { if (anc[i] != anc[j]) { x = dep[i] - dep[anc[i]] + dep[j] - dep[anc[j]] + 2; y = (pos[anc[i]] - pos[anc[j]] - 1 + tot) % tot; z = (pos[anc[j]] - pos[anc[i]] - 1 + tot) % tot; ans += 1.0 / (double)(x + y) + 1.0 / (double)(x + z) - 1.0 / (double)(x + y + z); } else ans += 1.0 / (double)dis(i, j); } printf("%.10f\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> std::set<std::pair<int, int> > set; int head[3010], nxt[6010], b[6010], k, n, u, v, fa[3010], cnt, rt; bool vis[3010]; long double ans; void push(int s, int t) { nxt[++k] = head[s]; head[s] = k; b[k] = t; } void getloop(int x, int f) { if (vis[x]) { u = x, v = f; return; } vis[x] = 1; fa[x] = f; for (int i = head[x]; i; i = nxt[i]) if (b[i] != f) getloop(b[i], x); } void dfs(int x, int f, int tot, int dis) { vis[x] = 1; for (int i = head[x]; i; i = nxt[i]) if (b[i] != f && !vis[b[i]]) { tot += set.count(std::make_pair(b[i], x)) ? 1 : 0; ++dis; if (!tot) ans += (long double)1 / (long double)dis; else ans += (long double)1 / (long double)dis + (long double)1 / (long double)(dis - tot - tot + cnt) - (long double)1 / (long double)(dis - tot + cnt - 1); dfs(b[i], x, tot, dis); --dis; tot -= set.count(std::make_pair(b[i], x)) ? 1 : 0; } } int main() { scanf("%d", &n); for (int i = 1, s, t; i <= n; i++) { scanf("%d%d", &s, &t); ++s, ++t; push(s, t); push(t, s); } getloop(1, 0); memset(vis, 0, sizeof vis); int tem = u; while (tem) { vis[tem] = 1; tem = fa[tem]; } int last = 0; tem = v; while (tem) { if (!last && vis[tem]) last = tem; vis[tem] ^= 1; tem = fa[tem]; } vis[last] = 1; set.insert(std::make_pair(u, v)); set.insert(std::make_pair(v, u)); while (u) { if (vis[u] && vis[fa[u]]) set.insert(std::make_pair(u, fa[u])), set.insert(std::make_pair(fa[u], u)); u = fa[u]; } while (v) { if (vis[v] && vis[fa[v]]) set.insert(std::make_pair(v, fa[v])), set.insert(std::make_pair(fa[v], v)); v = fa[v]; } for (int i = 1; i <= n; i++) cnt += vis[i]; for (int i = 1; i <= n; i++) memset(vis, 0, sizeof vis), rt = i, dfs(i, 0, 0, 1); printf("%.10Lf", ans + (long double)n); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3005; vector<int> g[N]; int n, cirLen, stk[N], top, vis[N], findCir, onCir[N]; double ans; void dfs(int v, int p) { stk[++top] = v; vis[v] = 1; for (int d : g[v]) if (d != p) { if (!vis[d]) { dfs(d, v); if (findCir) return; } else if (vis[d] == 1) { int t; do { t = stk[top--]; onCir[t] = 1; ++cirLen; ; } while (t != d); findCir = 1; return; } } vis[v] = 2; --top; } void getAns(double x, double y) { ; if (y <= 1.0) ans += 1.0 / x; else { double z = x - y + cirLen; ans -= 1.0 / z; ans += 1.0 / x; ans += 1.0 / (x - y + cirLen - y + 2); } } void count(int v, int x, int y) { vis[v] = 1; ; getAns(x, y); for (int d : g[v]) if (!vis[d]) count(d, x + 1, y + onCir[d]); } int main(int argc, char *argv[]) { scanf("%d", &n); for (int i = 1; i <= (n); ++i) { int u, v; scanf("%d%d", &u, &v); ++u, ++v; g[u].push_back(v); g[v].push_back(u); } dfs(1, 0); for (int i = 1; i <= (n); ++i) { memset(vis, 0, sizeof(vis)); count(i, 1, onCir[i]); } printf("%.10f\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; template <typename T> void ckmax(T& a, T b) { if (b > a) a = b; } template <typename T> void ckmin(T& a, T b) { if (b < a) a = b; } struct _in { const _in operator,(int& a) const { a = 0; char k = getchar(); int f = 1; for (; !isdigit(k); k = getchar()) if (k == '-') f = -1; for (; isdigit(k); k = getchar()) a = a * 10 + k - '0'; a *= f; return *this; } } in; const int N = 3000 + 5; int fr[N << 1], to[N << 1], h[N], tot; void ade(int u, int v) { tot++; fr[tot] = h[u]; to[tot] = v; h[u] = tot; } int n, stk[N], top, vis[N], dep[N], inc[N], C[N], Ctop; ; void dfs1(int u, int f) { stk[++top] = u, vis[u] = 1, dep[u] = dep[f] + 1; for (int i = h[u]; i; i = fr[i]) if (to[i] != f) { int v = to[i]; if (vis[to[i]]) { if (dep[to[i]] > dep[u]) continue; else for (int j = (dep[to[i]]); j <= (dep[u]); ++j) inc[stk[j]] = 1, C[++Ctop] = stk[j]; } else dfs1(to[i], u); } top--; } double ans, tmp; int rt; void dfs2(int u, int f, int Y) { vis[u] = 1; if (Y <= 0 && dep[u] - 1) ans += tmp = (1.00 / (dep[u])); else if (dep[u] - 1) ans += tmp = (1.00 / (dep[u] - 1 + 1) + 1.00 / (dep[u] - 1 - Y + (Ctop - Y) + 1) - 1.00 / (dep[u] - 1 - Y + Ctop)); for (int i = h[u]; i; i = fr[i]) if (to[i] != f) { if (vis[to[i]]) continue; if (!inc[to[i]]) { if (inc[u]) dfs2(to[i], u, Y); else dfs2(to[i], u, Y); } else { if (!inc[u]) dfs2(to[i], u, 0); else dfs2(to[i], u, Y + 1); } } } int main() { in, n; for (int i = (1); i <= (n); ++i) { int x, y; in, x, y; ++x, ++y; ade(x, y), ade(y, x); } for (int i = (1); i <= (n); ++i) { rt = i; memset(vis, 0, sizeof vis); dfs1(i, 0); memset(vis, 0, sizeof vis); dfs2(i, 0, inc[i] ? 0 : -1); memset(dep, 0, sizeof dep); Ctop = 0; } printf("%.10f\n", ans + n); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int MX = 3500; int N; struct Edge { int y, nx; } E[MX << 1]; int H[MX], ec; void Add(int x, int y) { E[++ec].y = y, E[ec].nx = H[x], H[x] = ec; } int B[MX], dfn[MX], low[MX], dc; int Cr[MX], Ic[MX], cc, stk[MX], tp; void Tarjan(int x, int f) { B[x] = 1, dfn[x] = low[x] = ++dc, stk[++tp] = x; for (int i = H[x]; i; i = E[i].nx) { if (B[E[i].y] == 0) Tarjan(E[i].y, x), low[x] = min(low[x], low[E[i].y]); else if (E[i].y != f) low[x] = min(low[x], dfn[E[i].y]); } if (dfn[x] == low[x]) { if (stk[tp] != x) { int z = 0; while (z != x) z = stk[tp--], Cr[++cc] = z, Ic[z] = 1; } else tp--; } } int C[MX], Ds[MX][MX]; void dfs1(int x, int f, int c) { C[x] = c; for (int i = H[x]; i; i = E[i].nx) if (E[i].y != f && !Ic[E[i].y]) dfs1(E[i].y, x, c); } void dfs2(int x, int f, int rt, int d) { Ds[rt][x] = d; for (int i = H[x]; i; i = E[i].nx) if (E[i].y != f && C[x] == C[E[i].y]) dfs2(E[i].y, x, rt, d + 1); } double Calc(int x, int y) { if (C[x] == C[y]) return 1.0 / Ds[x][y]; int rx = Cr[C[x]], ry = Cr[C[y]]; int a = Ds[x][rx] + Ds[y][ry] + (C[x] - C[y] + cc) % cc - 1; int b = Ds[x][rx] + Ds[y][ry] + (C[y] - C[x] + cc) % cc - 1; int c = Ds[x][rx] + Ds[y][ry] + cc - 2; return 1.0 / a + 1.0 / b - 1.0 / c; } int main() { scanf("%d", &N); for (int i = (1); i <= (N); ++i) { int x, y; scanf("%d%d", &x, &y), ++x, ++y; Add(x, y), Add(y, x); } Tarjan(1, 0); for (int i = (1); i <= (cc); ++i) dfs1(Cr[i], 0, i); for (int i = (1); i <= (N); ++i) dfs2(i, 0, i, 1); double ans = 0; for (int i = (1); i <= (N); ++i) for (int j = (1); j <= (N); ++j) ans += Calc(i, j); printf("%.10f\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int head[5010]; int from[5010]; int to[100010]; int nex[100010]; int dep[5010]; int q[5010]; int cnt; int vis[5010]; int bel[5010]; int num[100010]; double ans; int tot; int x, y, n, m; int f[5010][17]; void add(int x, int y, int z) { nex[++tot] = head[x]; head[x] = tot; to[tot] = y; num[tot] = z; } bool dfs(int x, int fa) { vis[x] = 1; for (int i = head[x]; i; i = nex[i]) { if (num[i] != fa) { if (vis[to[i]]) { for (int j = x; j != to[i]; j = from[j]) { q[++cnt] = j; } q[++cnt] = to[i]; return true; } else { from[to[i]] = x; if (dfs(to[i], num[i])) { return true; } } } } return false; } void find(int x, int fa, int rt) { bel[x] = rt; dep[x] = dep[fa] + 1; f[x][0] = fa; for (int i = 1; i <= 15; i++) { f[x][i] = f[f[x][i - 1]][i - 1]; } for (int i = head[x]; i; i = nex[i]) { if (to[i] != fa && !vis[to[i]]) { find(to[i], x, rt); } } } int lca(int x, int y) { if (dep[x] < dep[y]) { swap(x, y); } int d = dep[x] - dep[y]; for (int i = 0; i <= 15; i++) { if (d & (1 << i)) { x = f[x][i]; } } if (x == y) { return x; } for (int i = 15; i >= 0; i--) { if (f[x][i] != f[y][i]) { x = f[x][i]; y = f[y][i]; } } return f[x][0]; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d", &x, &y); x++, y++; add(x, y, i); add(y, x, i); } dfs(1, 0); memset(vis, 0, sizeof(vis)); for (int i = 1; i <= cnt; i++) { vis[q[i]] = 1; } for (int i = 1; i <= cnt; i++) { find(q[i], 0, i); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { if (bel[i] == bel[j]) { ans += (double)1 / (dep[i] + dep[j] - 2 * dep[lca(i, j)] + 1); } else { int X = dep[i] + dep[j]; int Y = abs(bel[i] - bel[j]) - 1; int Z = cnt - Y - 2; ans += (double)1 / (X + Y) + (double)1 / (X + Z) - (double)1 / (X + Y + Z); } } } printf("%.7f", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; queue<int> q; int head[5009], tot, du[5009], n, cnt; double ans; int vis[5009]; inline int rd() { int x = 0; char c = getchar(); bool f = 0; while (!isdigit(c)) { if (c == '-') f = 1; c = getchar(); } while (isdigit(c)) { x = (x << 1) + (x << 3) + (c ^ 48); c = getchar(); } return f ? -x : x; } struct edge { int n, to; } e[5009 << 1]; inline void add(int u, int v) { e[++tot].n = head[u]; e[tot].to = v; head[u] = tot; } inline void tpsort() { for (int i = 1; i <= n; ++i) if (du[i] == 1) q.push(i); cnt = n; while (!q.empty()) { int u = q.front(); q.pop(); cnt--; for (int i = head[u]; i; i = e[i].n) { int v = e[i].to; du[v]--; if (du[v] == 1) q.push(v); } } } void dfs(int u, int h, int l) { if (h <= 1) ans += (double)1 / (double)l; else ans += (double)1 / (double)l + (double)1 / ((double)(cnt - h + 2) + l - h) - (double)1 / ((double)cnt + l - h); for (int i = head[u]; i; i = e[i].n) if (vis[u] != vis[e[i].to]) { int v = e[i].to; ; vis[e[i].to] = vis[u]; dfs(v, h + (du[v] > 1), l + 1); } } int main() { n = rd(); int x, y; for (int i = 1; i <= n; ++i) { x = rd() + 1; y = rd() + 1; du[x]++; du[y]++; add(x, y); add(y, x); } tpsort(); for (int i = 1; i <= n; ++i) { vis[i] = i; dfs(i, du[i] > 1, 1); } printf("%.12lf", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3333; int n, m, a[N], b[N], c[N], d[N], f[N]; vector<int> v[N], h; double ans, w[N]; int fnd(int x) { if (f[x] == x) return x; return f[x] = fnd(f[x]); } void dfs0(int u, int o) { if (b[u]) return; if (!b[o]) h.push_back(u); b[u] = 1; for (int i = v[u].size(); i--;) dfs0(v[u][i], o); if (!b[o]) h.pop_back(); } void dfs1(int u, int fa) { if (b[u]) return; b[u] = 1; if (!c[u]) c[u] = c[fa]; for (int i = v[u].size(); i--;) dfs1(v[u][i], u); } void dfs2(int u, int fa) { if (b[u]) return; b[u] = 1; d[u] = d[fa] + 1; for (int i = v[u].size(); i--;) dfs2(v[u][i], u); } int main() { int i, j, x, y, z; scanf("%d", &n); for (i = 1; i <= n; i = i + 1) f[i] = i, w[i] = (double)1.0 / (double)i; for (i = 1; i <= n; i = i + 1) { scanf("%d%d", &x, &y); x++, y++; if (fnd(x) != fnd(y)) v[x].push_back(y), v[y].push_back(x), f[fnd(x)] = fnd(y); else a[0] = x, a[1] = y; } memset(b, 0, sizeof(b)); dfs0(a[1], a[0]); m = h.size(); for (i = 2; i <= m; i = i + 1) a[i] = h[i - 1]; for (i = 1; i <= m; i = i + 1) c[a[i]] = i; memset(b, 0, sizeof(b)); dfs1(a[1], 0); for (i = 1; i <= n; i = i + 1) { memset(b, 0, sizeof(b)); dfs2(i, 0); for (j = 1; j <= n; j = j + 1) { if (c[i] == c[j] && i < j) ans += w[d[j]]; if (c[i] >= c[j]) continue; x = d[j], z = x + c[i] - 1 + m - c[j], y = z - (c[j] - c[i] - 1); ans += w[x] + w[y] - w[z]; } } ans += ans + n; printf("%.9lf", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 3000 + 10; struct Graph { int id, next; } g[MAXN * 2]; int st[MAXN], dep[MAXN], fa[MAXN], bel[MAXN], n, lca[MAXN][MAXN], num[MAXN]; bool vis[MAXN]; vector<int> L; void Add(int tot, int x, int y) { g[tot].id = y, g[tot].next = st[x], st[x] = tot; } int find_loop(int x, int fa) { vis[x] = true; for (int i = st[x]; i != -1; i = g[i].next) if (g[i].id != fa) { if (vis[g[i].id]) { L.push_back(x); return dep[g[i].id]; } dep[g[i].id] = dep[x] + 1; int y = find_loop(g[i].id, x); if (y == -1) continue; if (dep[x] >= y) L.push_back(x); return y; } return -1; } void DFS(int x, int fat) { for (int i = st[x]; i != -1; i = g[i].next) if (g[i].id != fat && num[g[i].id] == -1) { dep[g[i].id] = dep[x] + 1, bel[g[i].id] = bel[x]; fa[g[i].id] = x; DFS(g[i].id, x); } } void init() { scanf("%d", &n); memset(st, -1, sizeof(st)); for (int i = 1; i <= n; ++i) { int x, y; scanf("%d%d", &x, &y); ++x, ++y; Add(i * 2, x, y), Add(i * 2 + 1, y, x); } find_loop(1, 0); memset(num, -1, sizeof(num)); for (int i = 0; i < (int)L.size(); ++i) num[L[i]] = i; for (int i = 0; i < (int)L.size(); ++i) { dep[L[i]] = 1, bel[L[i]] = L[i]; DFS(L[i], 0); } } int LCA(int x, int y) { if (lca[x][y]) return lca[x][y]; if (x == y) return x; if (dep[x] > dep[y]) return (lca[x][y] = LCA(fa[x], y)); return (lca[x][y] = LCA(x, fa[y])); } void solve() { double CC = 0; for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) if (bel[i] == bel[j]) { int x = LCA(i, j); CC += 1.0 / (dep[i] + dep[j] - dep[x] * 2 + 1); } else { int x = dep[i] + dep[j], y = (num[bel[i]] - num[bel[j]] + L.size()) % L.size() - 1, z = (num[bel[j]] - num[bel[i]] + L.size()) % L.size() - 1; CC += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } printf("%.10lf\n", CC); } int main() { init(); solve(); fclose(stdin); fclose(stdout); return 0; }
10
CPP
#include <bits/stdc++.h> struct Vertex { bool vis; int head, top, dist; Vertex() : vis(false), head(0), top(0), dist(0) {} } vertex[3005]; struct Edge { int to, next; Edge(int __to = 0, int __next = 0) : to(__to), next(__next) {} } edge[6005]; int n, ptr, dist[3005][3005]; std::vector<int> circle; void addEdge(int u, int v) { edge[++ptr] = Edge(v, vertex[u].head), vertex[u].head = ptr; edge[++ptr] = Edge(u, vertex[v].head), vertex[v].head = ptr; } int findCircle(int p, int f) { vertex[p].vis = true; for (int i = vertex[p].head; i; i = edge[i].next) { int x = edge[i].to, temp; if (x == f) continue; if (vertex[x].vis) { vertex[x].top = x; vertex[p].top = p; circle.push_back(x); circle.push_back(p); return 1; } else if (temp = findCircle(x, p)) { if (temp == 1 && !vertex[p].top) { vertex[p].top = p; circle.push_back(p); return 1; } else { return -1; } } } vertex[p].vis = false; return 0; } void BFS(int s) { for (int i = 1; i <= n; ++i) vertex[i].vis = false; std::queue<int> q; q.push(s), vertex[s].vis = true, dist[s][s] = 0; while (!q.empty()) { int p = q.front(); q.pop(); for (int i = vertex[p].head; i; i = edge[i].next) { int x = edge[i].to; if (vertex[x].vis) continue; vertex[x].vis = true, q.push(x); dist[s][x] = dist[s][p] + 1; } } } void findTop(int s) { std::queue<int> q; q.push(s), vertex[s].vis = true; while (!q.empty()) { int p = q.front(); q.pop(); for (int i = vertex[p].head; i; i = edge[i].next) { int x = edge[i].to; if (vertex[x].top) continue; vertex[x].top = s, q.push(x); } } } int main() { double ans = 0; std::cin >> n; for (int i = 1; i <= n; ++i) { int u, v; std::cin >> u >> v; addEdge(u + 1, v + 1); } findCircle(1, 0); for (int i = 1; i <= n; ++i) BFS(i); for (auto x : circle) findTop(x); for (int i = 1; i <= n; ++i) vertex[i].dist = dist[i][vertex[i].top]; for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) { double temp = 0.0; if (vertex[i].top == vertex[j].top) { temp = 1.0 / (dist[i][j] + 1); } else { double x = vertex[i].dist + vertex[j].dist + 2, y = dist[vertex[i].top][vertex[j].top] - 1, z = circle.size() - y - 2; temp = 1 / (x + y) + 1 / (x + z) - 1 / (x + y + z); } ans += temp; } std::cout << std::fixed << std::setprecision(9) << ans << std::endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; template <class T> inline void rd(T &x) { char ch; x = 0; bool fl = false; while (!isdigit(ch = getchar())) (ch == '-') && (fl = true); for (x = (ch ^ '0'); isdigit(ch = getchar()); x = x * 10 + (ch ^ '0')) ; (fl == true) && (x = -x); } template <class T> inline void output(T x) { if (x / 10) output(x / 10); putchar(x % 10 + '0'); } template <class T> inline void ot(T x) { if (x < 0) putchar('-'), x = -x; output(x); putchar(' '); } template <class T> inline void prt(T a[], int st, int nd) { for (register int i = st; i <= nd; ++i) ot(a[i]); putchar('\n'); } namespace Miracle { const int N = 3003; int n; struct node { int nxt, to; } e[2 * N]; int hd[N], cnt; void add(int x, int y) { e[++cnt].nxt = hd[x]; e[cnt].to = y; hd[x] = cnt; } int sta[N], top; bool vis[N]; bool fl; int on[N], mem[N], num; void fin(int x, int fa) { sta[++top] = x; vis[x] = 1; for (register int i = hd[x]; i; i = e[i].nxt) { int y = e[i].to; if (y == fa) continue; if (vis[y]) { if (!fl) { fl = true; int z; do { z = sta[top--]; mem[++num] = z; on[z] = num; } while (z != y); } } else fin(y, x); } if (sta[top] == x) sta[top--] = 0; } int be[N]; int dis[N]; void dfs(int x, int fa, int rt) { be[x] = rt; for (register int i = hd[x]; i; i = e[i].nxt) { int y = e[i].to; if (y == fa) continue; if (on[y]) continue; dis[y] = dis[x] + 1; dfs(y, x, rt); } } double ans; int rt; void sol(int x, int d) { vis[x] = 1; if (x != rt) { if (be[x] == be[rt]) { ans += (double)1.0 / ((double)d); } else { int a = dis[rt] + dis[x], b = abs(on[be[x]] - on[be[rt]]) - 1, c = num - 2 - b; ans += (double)1.0 / ((double)a + b) + (double)1.0 / ((double)a + c) - (double)1.0 / ((double)a + b + c); } } for (register int i = hd[x]; i; i = e[i].nxt) { int y = e[i].to; if (vis[y]) continue; sol(y, d + 1); } } int main() { rd(n); int x, y; for (register int i = 1; i <= n; ++i) { rd(x); rd(y); ++x; ++y; add(x, y); add(y, x); } fin(1, 0); for (register int i = 1; i <= num; ++i) { dis[mem[i]] = 1; dfs(mem[i], 0, mem[i]); } for (register int i = 1; i <= n; ++i) { memset(vis, 0, sizeof vis); rt = i; sol(i, 1); } ans += n; printf("%.10lf", ans); return 0; } } // namespace Miracle signed main() { Miracle::main(); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0; char ch = getchar(); while (!isdigit(ch)) ch = getchar(); while (isdigit(ch)) x = x * 10 + ch - '0', ch = getchar(); return x; } int tot = 1; int fir[3010], nex[3010 << 1], got[3010 << 1]; inline void AddEdge(int x, int y) { nex[++tot] = fir[x], fir[x] = tot, got[tot] = y; } int vis[3010], cir[3010], siz; int ins[3010], stk[3010], top; inline int find(int x, int fa) { if (ins[x]) { int v; do { vis[cir[++siz] = v = stk[top--]] = true; } while (v != x); return true; } ins[stk[++top] = x] = true; for (int i = fir[x]; i; i = nex[i]) { if (got[i] == fa) continue; if (find(got[i], x)) return true; } ins[stk[top--]] = false; return false; } int col[3010], par[3010][21], dep[3010]; inline int lca(int x, int y) { if (dep[x] < dep[y]) swap(x, y); for (int i = 20; i >= 0; i--) if (dep[par[x][i]] >= dep[y]) x = par[x][i]; if (x == y) return x; for (int i = 20; i >= 0; i--) if (par[x][i] != par[y][i]) x = par[x][i], y = par[y][i]; return par[x][0]; } inline void dfs(int x, int fa, int c) { col[x] = c, par[x][0] = fa, dep[x] = dep[fa] + 1; for (int i = 1; i <= 20; i++) par[x][i] = par[par[x][i - 1]][i - 1]; for (int i = fir[x]; i; i = nex[i]) if (got[i] != fa && !vis[got[i]]) dfs(got[i], x, c); } inline int dis(int x, int y) { return dep[x] + dep[y] - 2 * dep[lca(x, y)] + 1; } int main() { int n = read(); for (int i = 1; i <= n; i++) { int x = read() + 1, y = read() + 1; AddEdge(x, y), AddEdge(y, x); } find(1, 0); double ans = 0; for (int i = 1; i <= siz; i++) dfs(cir[i], 0, i); for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) { if (col[i] == col[j]) ans += 1.0 / dis(i, j); else { int x = dep[i] + dep[j], y = abs(col[i] - col[j]) - 1, z = siz - y - 2; ans += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } } printf("%0.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int g() { char ch; bool f = 0; while (!((ch = getchar() - 48) >= 0)) if (ch == -3) f = 1; int v = ch; while (((ch = getchar() - 48) >= 0)) v = v * 10 + ch; return f ? -v : v; } const int Maxn = 3005; vector<int> p[Maxn]; long double ans; int n, R; bool mark[Maxn], belong[Maxn]; int FC(int x, int fa) { mark[x] = true; for (int i = 0; i < p[x].size(); i++) if (!mark[p[x][i]]) { int te = FC(p[x][i], x); if (te) { if (te > 0) belong[x] = true, R++; return te == x ? -1 : te; } } else if (p[x][i] != fa) { belong[x] = true; R = 1; return p[x][i]; } } int pre, tot; void dfs(int x) { mark[x] = true; pre += belong[x] == true; tot++; if (pre > 1) { int C = tot + R - pre, B = pre - 2, A = R - pre; ans += 1.0 / (C - B) + 1.0 / (C - A) - 1.0 / C; } else ans += 1.0 / tot; for (int i = 0; i < p[x].size(); i++) if (!mark[p[x][i]]) dfs(p[x][i]); pre -= belong[x] == true; tot--; } int x, y; int main() { n = g(); for (int i = 1; i <= n; i++) { x = g() + 1; y = g() + 1; p[x].push_back(y); p[y].push_back(x); } FC(1, 0); for (int i = 1; i <= n; i++) memset(mark, 0, sizeof(mark)), dfs(i); printf("%.9lf\n", (double)ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3005; int n, tot, fst[N], to[2 * N], nxt[2 * N], cir[N], pos[N], len, dep[N], fa[N], subt[N], st[N], top, dis[N]; bool vis[N]; void addedge(int u, int v) { nxt[++tot] = fst[u]; fst[u] = tot; to[tot] = v; nxt[++tot] = fst[v]; fst[v] = tot; to[tot] = u; } void fnd(int u) { if (len) return; vis[u] = true; for (int i = fst[u]; i && !len; i = nxt[i]) if (to[i] != fa[u]) { if (vis[to[i]]) { for (int j = u; j != to[i]; j = fa[j]) cir[++len] = j, pos[j] = len; cir[++len] = to[i], pos[to[i]] = len; return; } fa[to[i]] = u; fnd(to[i]); } } void dfs(int u) { st[++top] = u; for (int i = fst[u]; i; i = nxt[i]) if (to[i] != fa[u] && !pos[to[i]]) { fa[to[i]] = u; dep[to[i]] = dep[u] + 1; subt[to[i]] = subt[u]; dfs(to[i]); } } int main() { scanf("%d", &n); for (int i = 1, u, v; i <= n; i++) { scanf("%d%d", &u, &v); addedge(u + 1, v + 1); } fnd(1); double ans = 0; for (int i = 1; i <= len; i++) { fa[cir[i]] = dep[cir[i]] = 0; subt[cir[i]] = i; top = 0; dfs(cir[i]); for (int j = 1; j <= top; j++) { for (int k = 1; k <= top; k++) vis[st[k]] = false; static int q[N]; int h = 0, t = 0; q[t++] = st[j]; dis[q[0]] = 1; vis[q[0]] = true; while (h < t) { int u = q[h++]; ans += 1.0 / dis[u]; for (int k = fst[u]; k; k = nxt[k]) if (!vis[to[k]] && (to[k] == cir[i] || !pos[to[k]])) { q[t++] = to[k]; vis[to[k]] = true; dis[to[k]] = dis[u] + 1; } } } } for (int u = 1; u <= n; u++) for (int v = 1; v <= n; v++) if (subt[u] != subt[v]) { int A = dep[u] + dep[v] + abs(subt[u] - subt[v]) + 1, B = dep[u] + dep[v] + len - abs(subt[u] - subt[v]) + 1, C = dep[u] + dep[v] + len; ans += 1.0 / A + 1.0 / B - 1.0 / C; } printf("%.10f\n", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3005; int n; double ans; double inv[N]; struct Edge { int ce; int hd[N], nxt[N * 2], v[N * 2]; void ade(int x, int y) { ce++; nxt[ce] = hd[x]; v[ce] = y; hd[x] = ce; } }; Edge T; int lenc, tp; int fa[N], dep[N], cir[N], lc[N], rc[N]; void dfsc(int u) { for (int i = T.hd[u]; i; i = T.nxt[i]) { int v = T.v[i]; if (v == fa[u]) continue; if (dep[v]) { if (dep[v] > dep[u]) continue; lenc = 1; tp = v; lc[u] = 0; rc[u] = dep[u] - dep[v] - 1; cir[u] = 1; for (int t = u; t != v; t = fa[t]) { lenc++; lc[fa[t]] = lc[t] + 1; rc[fa[t]] = rc[t] - 1; cir[fa[t]] = 1; } cir[tp] = 0; } else { fa[v] = u; dep[v] = dep[u] + 1; dfsc(v); } } } void dfsa(int u, int lstc) { if (!lstc) ans += inv[dep[u]]; else { int len1, len2, len3; if (!cir[u]) len1 = dep[u] - dep[lstc] + 1 + lc[lstc] + dep[tp], len2 = len1 - lc[lstc] + rc[lstc], len3 = dep[u] - dep[lstc] + lenc + dep[tp] - 1; else len1 = 1 + lc[u] + dep[tp], len2 = 1 + rc[u] + dep[tp], len3 = lenc + dep[tp] - 1; ans += inv[len1] + inv[len2] - inv[len3]; } if (cir[u]) lstc = u; for (int i = T.hd[u]; i; i = T.nxt[i]) { int v = T.v[i]; if (v == fa[u] || fa[v] != u) continue; dfsa(v, lstc); } } void calc(int u) { dep[u] = 1; dfsc(u); dfsa(u, 0); lenc = tp = 0; memset(fa, 0, sizeof(dep)); memset(dep, 0, sizeof(dep)); memset(cir, 0, sizeof(cir)); } int main() { int x, y; scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d%d", &x, &y), x++, y++, T.ade(x, y), T.ade(y, x); for (int i = 1; i <= n; i++) inv[i] = 1.0 / i; for (int i = 1; i <= n; i++) calc(i); printf("%.12lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; pair<int, int> it; int n, f[3010], x, y, fa[3010], dep[3010], tot, L[3010], t, tmp[3010], num[3010], belong[3010]; vector<int> E[3010]; int dis[3010][3010]; bool vis[3010]; queue<int> h; void read(int &x) { char ch = getchar(); int mark = 1; for (; ch != '-' && (ch < '0' || ch > '9'); ch = getchar()) ; if (ch == '-') mark = -1, ch = getchar(); for (x = 0; ch >= '0' && ch <= '9'; ch = getchar()) x = x * 10 + ch - 48; x *= mark; } int find(int x) { return (f[x] == x) ? x : f[x] = find(f[x]); } void Union(int x, int y) { f[find(y)] = find(x); } void dfs(int u) { vis[u] = 1; for (int i = 0; i < E[u].size(); i++) { int v = E[u][i]; if (!vis[v]) dep[v] = dep[u] + 1, fa[v] = u, dfs(v); } } void Dfs(int u, int st) { vis[u] = 1; belong[u] = st; for (int i = 0; i < E[u].size(); i++) { int v = E[u][i]; if (!vis[v]) Dfs(v, st); } } void bfs(int st) { memset(vis, 0, sizeof(vis)); vis[st] = 1; dis[st][st] = 0; h.push(st); while (h.size()) { int u = h.front(); h.pop(); for (int i = 0; i < E[u].size(); i++) { int v = E[u][i]; if (!vis[v]) { vis[v] = 1; dis[st][v] = dis[st][u] + 1; h.push(v); } } } } double Get(int x, int y) { if (x == y) return 1; if (belong[x] == belong[y]) return (double)1 / (dis[x][y] + 1); double X = dis[x][belong[x]] + dis[y][belong[y]]; double Y = (num[belong[x]] - num[belong[y]] + tot) % tot + 1; double Z = (num[belong[y]] - num[belong[x]] + tot) % tot + 1; return ((Z - 2) / (X + Y) + (Y - 2) / (X + Z) + 1) / (X + Y + Z - 2); } int main() { read(n); for (int i = 1; i <= n; i++) f[i] = i; for (int i = 1; i <= n; i++) { read(x); read(y); x++; y++; if (find(x) != find(y)) { Union(x, y); E[x].push_back(y), E[y].push_back(x); } else it = make_pair(x, y); } dfs(1); x = it.first, y = it.second; if (dep[x] < dep[y]) swap(x, y); for (; dep[x] != dep[y]; x = fa[x]) L[++tot] = x; for (; x != y; x = fa[x], y = fa[y]) L[++tot] = x, tmp[++t] = y; L[++tot] = x; for (int i = t; i; i--) L[++tot] = tmp[i]; memset(vis, 0, sizeof(vis)); for (int i = 1; i <= tot; i++) num[L[i]] = i, vis[L[i]] = 1; for (int i = 1; i <= tot; i++) Dfs(L[i], L[i]); for (int i = 1; i <= n; i++) bfs(i); double ans = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) ans += Get(i, j); printf("%.9lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const double PI = acos(-1.0); const double EPS = 1e-10; inline int read() { static char ch; bool sgn = false; while (ch = getchar(), ch < '0' || ch > '9') if (ch == '-') sgn = true; int res = ch - 48; while (ch = getchar(), ch >= '0' && ch <= '9') res = res * 10 + ch - 48; return sgn ? -res : res; } const int N = 3e3 + 5; double p[N][N], ans; int dis[N][N][2], f[N], father[N], dep[N], a[N], b[N], now; vector<int> E[N]; bool incircle[N], bo[N], passcircle[N][N]; void dfs(int x, int f, int d) { for (int i = E[x].size() - 1; i >= 0; i--) { int u = E[x][i]; if (u == f || u == now) continue; if (dis[now][u][0] == 0) { dis[now][u][0] = d + 1; dfs(u, x, d + 1); } else { if (d + 1 < dis[now][u][0]) { dis[now][u][1] = dis[now][u][0]; dis[now][u][0] = d + 1; dfs(u, x, d + 1); } else { if (dis[now][u][1] == 0) { dis[now][u][1] = d + 1; dfs(u, x, d + 1); } else { if (dis[now][u][1] > d + 1) { dis[now][u][1] = d + 1; dfs(u, x, d + 1); } } } } } } void Dfs(int x, int f) { dep[x] = dep[f] + 1; father[x] = f; for (int i = E[x].size() - 1; i >= 0; i--) { int u = E[x][i]; if (u == f) continue; Dfs(u, x); } } void DFS(int x, int f, int cir) { bo[x] = 1; passcircle[now][x] = (cir >= 2 ? 1 : 0); for (int i = E[x].size() - 1; i >= 0; i--) { int u = E[x][i]; if (u == f || bo[u]) continue; DFS(u, x, cir + incircle[u]); } } int find(int x) { return f[x] == x ? x : f[x] = find(f[x]); } int main() { int n = read(), x, y; for (int i = 1; i <= n; i++) f[i] = i; for (int i = 1; i <= n; i++) { a[i] = read(), b[i] = read(); a[i]++; b[i]++; int fa = find(a[i]), fb = find(b[i]); if (fa != fb) { E[a[i]].push_back(b[i]); E[b[i]].push_back(a[i]); f[fa] = fb; } else { x = a[i]; y = b[i]; } } Dfs(1, 0); E[x].push_back(y); E[y].push_back(x); incircle[x] = incircle[y] = 1; while (dep[x] > dep[y]) { x = father[x]; incircle[x] = 1; } swap(x, y); while (dep[x] > dep[y]) { x = father[x]; incircle[x] = 1; } while (x != y) { x = father[x]; incircle[x] = 1; y = father[y]; incircle[y] = 1; } for (now = 1; now <= n; now++) dfs(now, 0, 1); for (now = 1; now <= n; now++) { for (int i = 1; i <= n; i++) bo[i] = 0; DFS(now, 0, incircle[now]); } int num = 0; for (int i = 1; i <= n; i++) num += incircle[i]; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { if (i == j) { ans += 1; continue; } if (passcircle[i][j]) { ans += 1.0 / dis[i][j][0] + 1.0 / dis[i][j][1] - 1.0 / ((dis[i][j][0] + dis[i][j][1] - num - 2) / 2 + num); } else { ans += 1.0 / dis[i][j][0]; } } } printf("%.10f", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; struct edge { int to, next; } e[6005]; int n, m, head[3005], d[3005], d2[3005], num, c; bool ok[3005]; queue<int> q; double ans; inline void insert(int u, int v) { e[++num].to = v; e[num].next = head[u]; head[u] = num; e[++num].to = u; e[num].next = head[v]; head[v] = num; } inline void dfs(int now) { ok[now] = true; for (int i = head[now]; i; i = e[i].next) if (!ok[e[i].to]) { d2[e[i].to] = d2[now] + 1; if (d[e[i].to] == 0) { d[e[i].to] = d[now] + 1; ans += 1.0 / d[e[i].to]; } else { ans += 1.0 / d2[e[i].to] - 1.0 / ((d[e[i].to] + d2[e[i].to] + c) / 2 - 1); } dfs(e[i].to); } ok[now] = false; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { int u, v; scanf("%d%d", &u, &v); u++; v++; d[u]++; d[v]++; insert(u, v); } c = n; for (int i = 1; i <= n; i++) if (d[i] == 1) { q.push(i); c--; } while (!q.empty()) { int now = q.front(); q.pop(); for (int i = head[now]; i; i = e[i].next) { d[e[i].to]--; if (d[e[i].to] == 1) { q.push(e[i].to); c--; } } } for (int i = 1; i <= n; i++) { memset(d, 0, sizeof(d)); memset(d2, 0, sizeof(d2)); d[i] = d2[i] = 1; dfs(i); } ans += n; printf("%.6lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3005; int n, stk[N], top, num[N], cyc[N], idx; bool vis[N], instk[N], fl; vector<int> v[N]; void dfs(int pos, int fa) { stk[++top] = pos; instk[pos] = 1; for (auto &i : v[pos]) { if (i == fa) continue; if (!instk[i]) return dfs(i, pos); if (fl) continue; fl = 1; while (1) { int cur = stk[top--]; cyc[++idx] = cur; num[cur] = idx; if (cur == i) break; } } --top; instk[pos] = 0; } int rt[N], dep[N]; void dfs(int pos, int fa, int root) { rt[pos] = root; dep[pos] = dep[fa] + 1; for (auto &i : v[pos]) if (i != fa && !num[i]) dfs(i, pos, root); } int root; double ans; void solve(int pos, int d) { vis[pos] = 1; if (rt[pos] == rt[root]) ans += 1.0 / d; else { int x = dep[root] + dep[pos], y = abs(num[rt[pos]] - num[rt[root]]) - 1, z = idx - 2 - y; ans += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } for (auto &i : v[pos]) if (!vis[i]) solve(i, d + 1); } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n; int t1, t2; for (int i = 1; i <= n; i++) cin >> t1 >> t2, ++t1, ++t2, v[t1].push_back(t2), v[t2].push_back(t1); dfs(1, 0); for (int i = 1; i <= idx; i++) dfs(cyc[i], 0, cyc[i]); cout << endl; for (int i = 1; i <= n; i++) memset(vis, 0, sizeof(vis)), root = i, solve(i, 1); printf("%.8lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3e3 + 5; template <typename T> T _abs(T a) { return (a < 0) ? (-a) : (a); } int n, m; vector<int> cir; vector<int> G[N]; stack<int> S; bool vis[N], onc[N]; void dfs(int p, int fa) { if (vis[p]) { int cur; do { cur = S.top(); S.pop(); onc[cur] = true; cir.push_back(cur); } while (cur != p); throw 1; } vis[p] = true; S.push(p); for (auto& e : G[p]) { if (e ^ fa) { dfs(e, p); } } } int dep[N], id[N]; vector<int> T[N]; void dfs(int p, int fa, int d, int _id) { dep[p] = d, id[p] = _id; T[_id].push_back(p); for (auto& e : G[p]) { if ((e ^ fa) && !onc[e]) { dfs(e, p, d + 1, _id); } } } double ans = 0; void dfs(int p, int fa, int dis) { ans += 1.0 / dis; for (auto& e : G[p]) { if (id[e] == id[p] && e != fa) { dfs(e, p, dis + 1); } } } int main() { scanf("%d", &n); for (int i = 1, u, v; i <= n; i++) { scanf("%d%d", &u, &v); G[u].push_back(v); G[v].push_back(u); } try { dfs(0, -1); } catch (int) { m = cir.size(); } for (int i = 0; i < m; i++) { dfs(cir[i], -1, 0, i); } for (int i = 0; i < n; i++) { dfs(i, -1, 1); } for (int i = 0; i < m; i++) { for (int j = 0; j < m; j++) { if (i == j) continue; int d1 = _abs(i - j), d2 = m - d1; for (auto& p : T[i]) { for (auto& q : T[j]) { ans += 1.0 / (dep[p] + dep[q] + d1 + 1); ans += 1.0 / (dep[p] + dep[q] + d2 + 1); ans -= 1.0 / (dep[p] + dep[q] + m); } } } } printf("%.9lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int N, lk[6005], nx[6005], head[3005], s[3005], d[3005], dfn[3005], tot, L, p[3005], q[3005], fa[3005], f[3005][3005]; bool b[3005]; void init() { scanf("%d", &N); auto add = [&](int u, int v, int t) { lk[t] = v, nx[t] = head[u], head[u] = t; }; for (int i = 1, u, v; i <= N; i++) scanf("%d%d", &u, &v), add(++u, ++v, i), add(v, u, i + N); } void loop(int u) { dfn[u] = ++tot; for (int i = head[u], v; v = lk[i], i; i = nx[i]) if (fa[u] != v && !dfn[v]) fa[v] = u, loop(v); for (int i = head[u], v; v = lk[i], i; i = nx[i]) if (dfn[v] > dfn[u] && fa[v] != u) { for (int x = v; x != u; x = fa[x]) q[++L] = x, b[x] = 1; q[++L] = u, b[u] = 1; } } void dfs(int u) { for (int i = head[u], v; v = lk[i], i; i = nx[i]) if (!b[v] && !d[v]) d[v] = d[u] + 1, p[v] = p[u], dfs(v); } void dfs(int u, int s) { for (int i = head[u], v; v = lk[i], i; i = nx[i]) if (!f[s][v]) f[s][v] = f[s][u] + 1, dfs(v, s); } void doit() { loop(1); for (int i = 1; i <= L; i++) s[q[i]] = s[q[i - 1]] + 1, p[q[i]] = q[i], d[q[i]] = 1, dfs(q[i]); for (int i = 1; i <= N; i++) f[i][i] = 1, dfs(i, i); double ans = 0; for (int i = 1; i <= N; i++) for (int j = i + 1; j <= N; j++) if (p[i] == p[j]) ans += 1.0 / f[i][j]; else { int x = d[i] + d[j], y = s[p[i]] - s[p[j]] - 1, z = L - y - 2; if (y < 0) y += L, z -= L; ans += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } printf("%.9lf\n", ans * 2 + N); } int main() { init(); doit(); return 0; }
10
CPP
#include <bits/stdc++.h> #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") using namespace std; const double inf = 1e121; const double eps = 1e-10; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); long long randint(long long l, long long r) { long long out = rng() % (r - l + 1) + l; return out >= l ? out : out + r - l + 1; } template <typename A, typename B> string to_string(pair<A, B> p); template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p); template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p); string to_string(const string& s) { return '"' + s + '"'; } string to_string(const char* s) { return to_string((string)s); } string to_string(bool b) { return (b ? "true" : "false"); } string to_string(vector<bool> v) { bool first = true; string res = "{"; for (long long i = 0; i < static_cast<long long>(v.size()); i++) { if (!first) { res += ", "; } first = false; res += to_string(v[i]); } res += "}"; return res; } template <size_t N> string to_string(bitset<N> v) { string res = ""; for (size_t i = 0; i < N; i++) { res += static_cast<char>('0' + v[i]); } return res; } template <typename A> string to_string(A v) { bool first = true; string res = "{"; for (const auto& x : v) { if (!first) { res += ", "; } first = false; res += to_string(x); } res += "}"; return res; } template <typename A, typename B> string to_string(pair<A, B> p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; } template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")"; } template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")"; } template <typename A, typename B, typename C, typename D, typename E> string to_string(tuple<A, B, C, D, E> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + "," + to_string(get<4>(p)) + ")"; } void debug_out() { cerr << endl; } template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); } template <typename T> struct is_pair { static const bool value = false; }; template <typename T, typename U> struct is_pair<std::pair<T, U>> { static const bool value = true; }; const long long INF = 0x3f3f3f3f3f3f3f3fll; template <typename T> typename enable_if<!is_integral<T>::value && !is_pair<T>::value, void>::type read(T& x) { cin >> x; } long long read() { char c; long long out = 0, f = 1; for (c = getchar(); !isdigit(c) && c != '-'; c = getchar()) { } if (c == '-') { f = -1; c = getchar(); } for (; isdigit(c); c = getchar()) out = (out << 3) + (out << 1) + c - '0'; return out * f; } template <typename T> typename enable_if<is_integral<T>::value, T>::type read(T& x) { char c; T f = 1; x = 0; for (c = getchar(); !isdigit(c) && c != '-'; c = getchar()) { } if (c == '-') { f = -1; c = getchar(); } for (; isdigit(c); c = getchar()) x = (x << 3) + (x << 1) + c - '0'; return x *= f; } char read(char& x) { for (x = getchar(); isspace(x); x = getchar()) { } return x; } double read(double& x) { scanf("%lf", &x); return x; } template <typename T> typename enable_if<!is_integral<T>::value && !is_pair<T>::value, void>::type write(const T& x) { cout << x; } template <typename T> typename enable_if<is_integral<T>::value, void>::type write(const T& x) { if (x < 0) { putchar('-'); write(-x); return; } if (x > 9) write(x / 10); putchar(x % 10 + '0'); } void write(const char& x) { putchar(x); } void write(const double& x) { printf("%.12lf", x); } template <typename T> typename enable_if<is_pair<T>::value, void>::type read(T& x) { read(x.first); read(x.second); } template <typename T> typename enable_if<is_pair<T>::value, void>::type write(const T& x) { write(x.first); putchar(' '); write(x.second); } template <typename T, typename... Args> void read(T& x, Args&... args) { read(x); read(args...); } template < typename OutputIt, typename = typename enable_if< is_same<output_iterator_tag, typename iterator_traits<OutputIt>::iterator_category>::value || (is_base_of<forward_iterator_tag, typename iterator_traits<OutputIt>:: iterator_category>::value && !is_const<OutputIt>::value)>::type> void read(OutputIt __first, OutputIt __last) { for (; __first != __last; ++__first) read(*__first); } template < typename InputIt, typename = typename enable_if<is_base_of< input_iterator_tag, typename iterator_traits<InputIt>::iterator_category>::value>::type> void wts(InputIt __first, InputIt __last) { bool isFirst = true; for (; __first != __last; ++__first) { if (isFirst) isFirst = false; else putchar(' '); write(*__first); } putchar('\n'); } template < typename InputIt, typename = typename enable_if<is_base_of< input_iterator_tag, typename iterator_traits<InputIt>::iterator_category>::value>::type> void wtb(InputIt __first, InputIt __last) { for (; __first != __last; ++__first) { write(*__first); putchar('\n'); } } template <typename T> void wts(const T& x) { write(x); putchar(' '); } template <typename T> void wtb(const T& x) { write(x); putchar('\n'); } template <typename T> void wte(const T& x) { write(x); exit(0); } template <typename T, typename... Args> void wts(const T& x, Args... args) { wts(x); wts(args...); } template <typename T, typename... Args> void wtb(const T& x, Args... args) { wts(x); wtb(args...); } template <typename T, typename... Args> void wte(const T& x, Args... args) { wts(x); wte(args...); } template <typename T1, typename T2> inline bool up(T1& x, const T2& y) { return x < y ? x = y, 1 : 0; } template <typename T1, typename T2> inline bool dn(T1& x, const T2& y) { return y < x ? x = y, 1 : 0; } template <typename T1, typename T2, typename T3> inline bool inRange(const T1& x, const T2& l, const T3& r) { return !(x < l) && !(r < x); } template <typename T1, typename T2> inline auto minOfDifferentTypes(const T1& x, const T2& y) -> decltype(x < y ? x : y) { return x < y ? x : y; } template <typename T1, typename T2> inline auto maxOfDifferentTypes(const T1& x, const T2& y) -> decltype(x < y ? y : x) { return x < y ? y : x; } template <typename T1, typename T2, typename T3> inline T1& madd(T1& x, const T2& y, const T3& modulo) { return x = (long long)(x + y + modulo) % modulo; } template <typename T1, typename T2, typename T3> inline T1& mmul(T1& x, const T2& y, const T3& modulo) { return x = (long long)x * y % modulo; } inline long long modadd(long long x, long long y, long long modulo) { return (x + y) >= modulo ? x + y - modulo : x + y; } inline long long isinf(long long x) { return x < INF ? x : -1; } inline void yesno(bool x) { wtb(x ? "Yes" : "No"); } signed main() { long long n = read(); vector<vector<pair<long long, long long>>> g(n + 1); for (long long i = (1), iend = (n); i <= iend; ++i) { long long u = read() + 1; long long v = read() + 1; g[u].emplace_back(v, i); g[v].emplace_back(u, i); } long long dfntot = 0; vector<long long> dfn(n + 1); stack<long long> stk; vector<bool> oncycle(n + 1); vector<long long> cycle; function<void(long long, long long)> findCycle = [&](long long u, long long pa) { dfn[u] = ++dfntot; stk.push(u); for (auto x : g[u]) { long long v = x.first; long long id = x.second; if (id == pa) continue; if (!dfn[v]) findCycle(v, id); else if (dfn[v] < dfn[u]) { while (1) { long long t = stk.top(); stk.pop(); cycle.push_back(t); oncycle[t] = true; if (t == v) break; } } } if (cycle.empty()) stk.pop(); }; findCycle(1, 0); vector<long long> dep(n + 1), treeId(n + 1); vector<vector<long long>> dis(n + 1, vector<long long>(n + 1)), tree(cycle.size()); function<void(long long, long long, long long)> getTree = [&](long long u, long long pa, long long id) { tree[id].push_back(u); treeId[u] = id; for (auto x : g[u]) { long long v = x.first; if (oncycle[v] || v == pa) continue; dep[v] = dep[u] + 1; getTree(v, u, id); } }; for (long long i = (0), iend = (cycle.size() - 1); i <= iend; ++i) getTree(cycle[i], 0, i); double ans = 0; function<void(long long, long long, long long)> calcTree = [&](long long u, long long pa, long long d) { ans += 1.0 / d; for (auto x : g[u]) { long long v = x.first; if (v == pa || treeId[v] != treeId[u]) continue; calcTree(v, u, d + 1); } }; for (long long i = (0), iend = (cycle.size() - 1); i <= iend; ++i) { for (auto u : tree[i]) calcTree(u, 0, 1); for (long long j = (i + 1), jend = (cycle.size() - 1); j <= jend; ++j) { for (auto u : tree[i]) { for (auto v : tree[j]) { long long x = dep[u] + dep[v]; long long y = j - i; long long z = cycle.size() - y; ans += 2.0 / (x + y + 1) + 2.0 / (x + z + 1) - 2.0 / (x + y + z); } } } } wtb(ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int read() { char c = getchar(); long long x = 1, s = 0; while (c < '0' || c > '9') { if (c == '-') x = -1; c = getchar(); } while (c >= '0' && c <= '9') { s = s * 10 + c - '0'; c = getchar(); } return s * x; } const int N = 4000; int n, x, y, top, flag, deep[N], pd[N], st[N], vis[N], f[N][13], bh[N], cnt, cd[N], head; vector<int> v[N]; double ans = 0; void dfs(int u, int fa) { f[u][0] = fa; deep[u] = deep[fa] + 1; for (int i = 1; i <= 12; i++) f[u][i] = f[f[u][i - 1]][i - 1]; for (int i = 0; i < v[u].size(); i++) { if (v[u][i] == fa || vis[v[u][i]]) continue; dfs(v[u][i], u); } } void find(int u, int fa) { if (pd[u]) { vis[u] = 1; while (st[top] != u) { vis[st[top]] = 1; bh[st[top]] = ++cnt; cd[++head] = st[top]; top--; } flag = 1; cd[++head] = u; bh[u] = ++cnt; return; } pd[u] = 1; st[++top] = u; for (int i = 0; i < v[u].size(); i++) { if (v[u][i] == fa) continue; find(v[u][i], u); if (flag) return; } } int tiao(int x) { for (int i = 12; i >= 0; i--) { if (f[x][i]) x = f[x][i]; } return x; } int lca(int x, int y) { if (deep[x] < deep[y]) swap(x, y); for (int i = 12; i >= 0; i--) { if (deep[x] - (1 << i) >= deep[y]) x = f[x][i]; } if (x == y) return x; for (int i = 12; i >= 0; i--) { if (f[x][i] != f[y][i]) { x = f[x][i]; y = f[y][i]; } } return f[x][0]; } int main() { n = read(); for (int i = 1; i <= n; i++) { x = read() + 1; y = read() + 1; v[x].push_back(y); v[y].push_back(x); } find(1, 0); for (int i = 1; i <= head; i++) dfs(cd[i], cd[i]); for (int i = 1; i <= n; i++) { for (int k = 1; k <= n; k++) { int u = tiao(i); int v = tiao(k); if (u == v) { int g = lca(i, k); int D = deep[i] + deep[k] - 2 * deep[g] + 1; ans += 1.0 / D; } else { int l1 = abs(bh[u] - bh[v]) + 1; int l2 = cnt - l1 + 2; int L = deep[i] - deep[v] + deep[k] - deep[u]; if (L + l1) ans += 1.0 / (L + l1); if (L + l2) ans += 1.0 / (L + l2); ans -= 1.0 / (L + cnt); } } } printf("%.8lf", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n; vector<int> v[3030]; void init() { scanf("%d", &n); for (int i = 0; i < n; i++) { int ai, bi; scanf("%d%d", &ai, &bi); v[ai].push_back(bi); v[bi].push_back(ai); } } bool oncyc[3030], instk[3030]; int vst[3030], p[3030][14], dep[3030], stk[3030]; int cycsz; void go(int now, int prt, int tdep) { p[now][0] = prt; dep[now] = tdep; stk[tdep] = now; vst[now] = 1; instk[now] = true; for (int son : v[now]) { if (son == prt) continue; if (vst[son]) { if (!instk[son]) continue; cycsz = tdep - dep[son] + 1; for (int i = dep[son]; i <= tdep; i++) oncyc[stk[i]] = true; } else go(son, now, tdep + 1); } instk[now] = false; } int cyc[3030]; void go2(int now, int prt, int sum) { if (oncyc[now]) sum++; cyc[now] = sum; vst[now] = 2; for (int son : v[now]) { if (son == prt || vst[son] == 2) continue; go2(son, now, sum); } } void build_pp() { for (int i = 1; i < 14; i++) for (int j = 0; j < n; j++) p[j][i] = p[p[j][i - 1]][i - 1]; } inline int lca(int ui, int vi) { if (dep[ui] > dep[vi]) swap(ui, vi); int dlt = dep[vi] - dep[ui]; for (int i = 0; i < 14; i++) if ((dlt >> i) & 1) vi = p[vi][i]; if (ui == vi) return ui; for (int i = 14 - 1; i >= 0; i--) if (p[ui][i] != p[vi][i]) { ui = p[ui][i]; vi = p[vi][i]; } return p[ui][0]; } inline double cal(int a, int b) { if (a == b) return 1.0; int tlca = lca(a, b); int bet = dep[b] + dep[a] - 2 * dep[tlca] + 1; int cnt = cyc[b] + cyc[a] - 2 * cyc[tlca] + oncyc[tlca]; if (cnt <= 1) return 1.0 / (double)bet; bet -= cnt; int p1 = cnt, p2 = cycsz - cnt + 2; return 1.0 / (double)(bet + p1) + 1.0 / (double)(bet + p2) - 1.0 / (double)(bet + cycsz); } void solve() { go(0, 0, 0); go2(0, 0, 0); build_pp(); double ans = 0.0; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) ans += cal(i, j); printf("%.9f\n", ans); } int main() { init(); solve(); }
10
CPP
#include <bits/stdc++.h> using namespace std; int read() { int a = 0; char c = getchar(); while (!isdigit(c)) c = getchar(); while (isdigit(c)) { a = a * 10 + c - 48; c = getchar(); } return a; } const int _ = 3001; struct Edge { int end, upEd; } Ed[_ << 1]; int head[_], cntEd, N; void addEd(int a, int b) { Ed[++cntEd] = (Edge){b, head[a]}; head[a] = cntEd; } vector<int> cir; int dep[_], bel[_], len[_]; int getcir(int x, int p) { dep[x] = dep[p] + 1; int cur = 0; for (int i = head[x]; i; i = Ed[i].upEd) if (Ed[i].end != p) if (dep[Ed[i].end] && dep[Ed[i].end] < dep[x]) { cir.push_back(x); return Ed[i].end; } else if (!dep[Ed[i].end]) { int t = getcir(Ed[i].end, x); if (t) cur = t; } if (cur) cir.push_back(x); else dep[x] = 0; return cur == x ? 0 : cur; } long double ans; list<int> dfs(int x, int p, int t) { list<int> child; bel[x] = t; dep[x] = dep[p] + 1; child.push_back(dep[x]); ++ans; for (int i = head[x]; i; i = Ed[i].upEd) if (!dep[Ed[i].end]) { list<int> tp = dfs(Ed[i].end, x, t); for (auto p : tp) for (auto q : child) ans += 2.0 / (p + q - 2 * dep[x] + 1); child.insert(child.end(), tp.begin(), tp.end()); } return child; } int main() { N = read(); for (int i = 1; i <= N; ++i) { int a = read() + 1, b = read() + 1; addEd(a, b); addEd(b, a); } getcir(1, 0); for (auto t : cir) dfs(t, 0, t); for (int i = 0; i < cir.size(); ++i) len[cir[i]] = i + 1; for (int i = 1; i <= N; ++i) for (int j = 1; j <= N; ++j) { int p = bel[i], q = bel[j]; if (p != q) { int a = dep[i] + dep[j]; if (len[p] > len[q]) swap(p, q); int b = len[q] - len[p] - 1, c = cir.size() - 2 - b; ans += 1.0 / (a + b + c) + b * 1.0 / (a + b + c) / (a + c) + c * 1.0 / (a + b + c) / (a + b); } } cout << fixed << setprecision(8) << ans; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3e3 + 5; int read() { int x = 0, f = 1; char ch; while (!isdigit(ch = getchar())) (ch == '-') && (f = -f); for (x = ch ^ 48; isdigit(ch = getchar()); x = (x << 3) + (x << 1) + (ch ^ 48)) ; return x * f; } template <class T> T Abs(T a) { return a > 0 ? a : -a; } template <class T> T Max(T a, T b) { return a > b ? a : b; } template <class T> T Min(T a, T b) { return a < b ? a : b; } struct Edge { int to; Edge *nxt; Edge(int to, Edge *nxt) : to(to), nxt(nxt) {} } * head[N]; void add(int x, int y) { head[x] = new Edge(y, head[x]); } double ans; int n, m, top, tot, is[N], cir[N], sta[N], dep[N], vis[N], bel[N], fa[N][15]; void dfs(int x, int f) { dep[x] = dep[f] + 1; for (Edge *i = head[x]; i; i = i->nxt) { if (i->to == f) continue; dfs(i->to, x); } } void solve1() { for (int i = 1; i <= n; ++i) { dfs(i, 0); for (int j = 1; j <= n; ++j) ans += 1.0 / dep[j]; } printf("%.7f\n", ans); } bool findcir(int x, int f) { if (vis[x]) { int y; do { y = sta[top--]; is[y] = 1; cir[++tot] = y; } while (y != x); return 1; } sta[++top] = x; vis[x] = 1; for (Edge *i = head[x]; i; i = i->nxt) { if (i->to != f && findcir(i->to, x)) return 1; } vis[x] = 0; top--; return 0; } void dfs(int x, int f, int c) { bel[x] = c; fa[x][0] = f; dep[x] = dep[f] + 1; for (int i = 1; i <= 14; ++i) fa[x][i] = fa[fa[x][i - 1]][i - 1]; for (Edge *i = head[x]; i; i = i->nxt) { if (i->to != f && !is[i->to]) dfs(i->to, x, c); } } int Lca(int x, int y) { if (dep[x] < dep[y]) swap(x, y); for (int i = 14; ~i; --i) if (dep[fa[x][i]] >= dep[y]) x = fa[x][i]; if (x == y) return x; for (int i = 14; ~i; --i) if (fa[x][i] != fa[y][i]) x = fa[x][i], y = fa[y][i]; return fa[x][0]; } int Dis(int x, int y) { return dep[x] + dep[y] - dep[Lca(x, y)] * 2 + 1; } void solve2() { findcir(1, 0); for (int i = 1; i <= tot; ++i) dfs(cir[i], 0, i); for (int i = 1; i <= n; ++i) { for (int j = 1; j <= n; ++j) { if (bel[i] == bel[j]) ans += 1.0 / Dis(i, j); else { int x = dep[i] + dep[j], y = Abs(bel[i] - bel[j]) - 1, z = tot - 2 - y; ans += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } } } printf("%.7f\n", ans); } int main() { n = read(); m = n; for (int i = 1, x, y; i <= n; ++i) x = read() + 1, y = read() + 1, add(x, y), add(y, x); if (m == n - 1) return solve1(), 0; else return solve2(), 0; fclose(stdin); fclose(stdout); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n; vector<int> edge[3100]; int cir[3100], vi[3100], cirlen; int _lca[3100][3100], fa[3100], dep[3100]; void dfs2(int x) { dep[x] = dep[fa[x]] + 1; vi[x] = 1; for (typeof((edge[x]).begin()) y = (edge[x]).begin(); y != (edge[x]).end(); y++) if (*y != fa[x]) { if (vi[*y]) { if (dep[*y] < dep[x]) { for (int p = x; p != fa[*y]; p = fa[p]) cir[p] = ++cirlen; } } else fa[*y] = x, dfs2(*y); } } int lca(int x, int y) { if (_lca[x][y]) return _lca[x][y]; if (x == y) return _lca[x][y] = x; if (dep[x] < dep[y]) swap(x, y); return _lca[x][y] = lca(fa[x], y); } void dfs(int x, int f) { if (vi[x]) return; vi[x] = 1; fa[x] = f; dep[x] = dep[f] + 1; for (typeof((edge[x]).begin()) y = (edge[x]).begin(); y != (edge[x]).end(); y++) if (!cir[*y]) cir[*y] = cir[x], dfs(*y, x); } int main() { cin >> n; for (int _ = (1); _ <= (n); _++) { int x, y; scanf("%d%d", &x, &y); x++, y++; edge[x].push_back(y); edge[y].push_back(x); } dfs2(1); memset(vi, 0, sizeof vi); for (int x = (1); x <= (n); x++) if (cir[x]) dfs(x, 0); double ans = 0; for (int x = (1); x <= (n); x++) for (int y = (1); y <= (n); y++) if (cir[x] != cir[y]) { int X = dep[x] + dep[y], mn = min(cir[x], cir[y]), mx = max(cir[x], cir[y]), Y = mx - mn - 1, Z = cirlen - mx + mn - 1; ans += 1.0 / (X + Y) + 1.0 / (X + Z) - 1.0 / (X + Y + Z); } else { int f = lca(x, y); ans += 1.0 / (dep[x] + dep[y] - dep[f] * 2 + 1); } printf("%.7lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; inline int Get() { int res = 0, q = 1; char ch = getchar(); while ((ch < '0' || ch > '9') && ch != '-') ch = getchar(); if (ch == '-') q = -1, ch = getchar(); while (ch >= '0' && ch <= '9') res = res * 10 + ch - '0', ch = getchar(); return res * q; } const double eps = 1e-12, pi = M_PI; const int oo = (int)2e9, mod = (int)1e9 + 7; const long long INF = (long long)1e17; const int N = (int)3e3; typedef int arr[N + 10]; typedef int arre[2 * N + 10]; int n, m, tot = 1, j, k, sc; arr g, ft; arre pt, nt, e; bool v[N + 10], ic[N + 10]; double ans; void Link(int x, int y) { pt[++tot] = y, nt[tot] = g[x], g[x] = tot; pt[++tot] = x, nt[tot] = g[y], g[y] = tot; } void Find(int x, int fa) { v[x] = 1; for (int i = g[x]; i; i = nt[i]) if (pt[i] != fa) { if (v[pt[i]]) j = x, k = pt[i], e[i] = e[i ^ 1] = 1; else Find(pt[i], x); } } void Dfs(int x, int fa) { ft[x] = fa; for (int i = g[x]; i; i = nt[i]) if (pt[i] != fa && !e[i]) Dfs(pt[i], x); } void Dp(int x, int fa, int dp, int ds) { if (ds <= 1) ans += 1. / dp; else ans += 1. / dp + 1. / (dp - ds + sc - ds + 2) - 1. / (dp - ds + sc); for (int i = g[x]; i; i = nt[i]) if (pt[i] != fa && !e[i]) Dp(pt[i], x, dp + 1, ds + ic[pt[i]]); } int main() { scanf( "%d" "\n", &n); for (int i = (1), end = (n); i <= end; ++i) scanf( "%d" "%d" "\n", &j, &k), ++j, ++k, Link(j, k); Find(1, 0); Dfs(j, 0); for (int now = k; now != j; now = ft[now]) ++sc, ic[now] = 1; ++sc, ic[j] = 1; for (int i = (1), end = (n); i <= end; ++i) Dp(i, 0, 1, ic[i]); printf( "%.10lf" "\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 3005; int n, dep[maxn], point[maxn << 1], nextp[maxn << 1], head[maxn], cir[maxn], len, ecnt; void ins(int u, int v) { point[++ecnt] = v; nextp[ecnt] = head[u]; head[u] = ecnt; } int dfs(int x, int f) { dep[x] = dep[f] + 1; int i, to, tmp, res = 0; for (i = head[x]; i; i = nextp[i]) { to = point[i]; if (to == f) continue; if (dep[to]) { if (dep[to] < dep[x]) len = res = dep[x] - dep[to] + 1; else continue; } else if (tmp = dfs(to, x)) res = tmp; } if (res) cir[x] = 1, res--; return res; } int a[maxn], b[maxn]; void dfs2(int x) { int i, to; for (i = head[x]; i; i = nextp[i]) { to = point[i]; if (a[to] == -1) { a[to] = a[x] + 1 - cir[to]; b[to] = b[x] + cir[to]; dfs2(to); } } } double ans; int main() { int i, j, u, v; scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d%d", &u, &v); ++u; ++v; ins(u, v); ins(v, u); } dfs(1, 0); for (i = 1; i <= n; i++) { for (j = 1; j <= n; j++) a[j] = b[j] = -1; b[i] = cir[i]; a[i] = 1 - cir[i]; dfs2(i); for (j = 1; j <= n; j++) { ans += 1. / (a[j] + b[j]); if (b[j] > 2) { ans += 1. / (a[j] + len - b[j] + 2); ans -= 1. / (a[j] + len); } } } printf("%.10f\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; struct edge { int v, next; } e[6005]; int etot = 0; int g[3005]; void ae(int u, int v) { e[etot].v = v; e[etot].next = g[u]; g[u] = etot++; } int n; double ans = 0.0; int pre[3005], vis[3005]; int cyc[3005], len = 0; int oncy[3005] = {0}; int dfs(int u) { vis[u] = 1; for (int i = g[u]; ~i; i = e[i].next) if (e[i].v != pre[u]) { if (!vis[e[i].v]) { pre[e[i].v] = u; if (dfs(e[i].v)) return 1; } else { int p = u; while (1) { cyc[++len] = u; oncy[u] = len; if (u == e[i].v) break; u = pre[u]; } return 1; } } return 0; } int dis[3005]; int belong[3005], tot = 0; void dfs1(int u, int pre = -1) { belong[u] = tot; for (int i = g[u]; ~i; i = e[i].next) if (e[i].v != pre && !oncy[e[i].v]) { dis[e[i].v] = dis[u] + 1; dfs1(e[i].v, u); } } int cur; void dfs2(int u, int pre, int d) { ans += 1.0 / d; for (int i = g[u]; ~i; i = e[i].next) if (e[i].v != pre && belong[e[i].v] == cur) { dfs2(e[i].v, u, d + 1); } } int main() { memset(g, -1, sizeof(g)); scanf("%d", &n); for (int i = 1; i <= n; i++) { int x, y; scanf("%d%d", &x, &y); x++, y++; ae(x, y); ae(y, x); } dfs(1); for (int i = 1; i <= len; i++) tot++, dfs1(cyc[i]); for (int i = 1; i <= n; i++) { cur = belong[i]; dfs2(i, -1, 1); } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) if (belong[i] != belong[j]) { int tot = dis[i] + dis[j] + len, a = abs(belong[i] - belong[j]) - 1, b = len - 2 - a; ans += 1.0 / tot * (1 + a * 1.0 / (tot - a) + b * 1.0 / (tot - b)); } printf("%.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int head[5010]; int from[5010]; int to[100010]; int nex[100010]; int dep[5010]; int q[5010]; int cnt; int vis[5010]; int bel[5010]; int num[100010]; double ans; int tot; int x, y, n, m; int f[5010][17]; void add(int x, int y, int z) { nex[++tot] = head[x]; head[x] = tot; to[tot] = y; num[tot] = z; } bool dfs(int x, int fa) { vis[x] = 1; for (int i = head[x]; i; i = nex[i]) { if (num[i] != fa) { if (vis[to[i]]) { for (int j = x; j != to[i]; j = from[j]) { q[++cnt] = j; } q[++cnt] = to[i]; return true; } else { from[to[i]] = x; if (dfs(to[i], num[i])) { return true; } } } } return false; } void find(int x, int fa, int rt) { bel[x] = rt; dep[x] = dep[fa] + 1; f[x][0] = fa; for (int i = 1; i <= 15; i++) { f[x][i] = f[f[x][i - 1]][i - 1]; } for (int i = head[x]; i; i = nex[i]) { if (to[i] != fa && !vis[to[i]]) { find(to[i], x, rt); } } } int lca(int x, int y) { if (dep[x] < dep[y]) { swap(x, y); } int d = dep[x] - dep[y]; for (int i = 0; i <= 15; i++) { if (d & (1 << i)) { x = f[x][i]; } } if (x == y) { return x; } for (int i = 15; i >= 0; i--) { if (f[x][i] != f[y][i]) { x = f[x][i]; y = f[y][i]; } } return f[x][0]; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d", &x, &y); x++, y++; add(x, y, i); add(y, x, i); } dfs(1, 0); memset(vis, 0, sizeof(vis)); if (!cnt) { q[++cnt] = 1; } for (int i = 1; i <= cnt; i++) { vis[q[i]] = 1; } for (int i = 1; i <= cnt; i++) { find(q[i], 0, i); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { if (bel[i] == bel[j]) { ans += (double)1 / (dep[i] + dep[j] - 2 * dep[lca(i, j)] + 1); } else { int X = dep[i] + dep[j]; int Y = abs(bel[i] - bel[j]) - 1; int Z = cnt - Y - 2; ans += (double)1 / (X + Y) + (double)1 / (X + Z) - (double)1 / (X + Y + Z); } } } printf("%.7f", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; int n, mark[((int)3030)], pos[((int)3030)], dp[((int)12)][((int)3030)], dis[((int)3030)]; long double ans; vector<int> e[((int)3030)], now, cycle; bool dead[((int)3030)]; void dfs_cycle(int x, int par = 0) { mark[x] = 1; now.push_back(x); for (auto u : e[x]) { if (u == par || mark[u] == 2) continue; if (mark[u]) { for (int i = (int)now.size() - 1; i >= 0; i--) { dead[now[i]] = 1; pos[now[i]] = cycle.size(); cycle.push_back(now[i]); if (now[i] == u) break; } continue; } dfs_cycle(u, x); } mark[x] = 2; } void pre_dfs(int x, int id) { pos[x] = id; for (int i = 1; i < ((int)12); i++) dp[i][x] = dp[i - 1][dp[i - 1][x]]; for (auto u : e[x]) if (!dead[u] && u != dp[0][x]) dis[u] = dis[x] + 1, dp[0][u] = x, pre_dfs(u, id); } int iPar(int x, int num) { for (int i = 0; i < ((int)12); i++) if ((num & (1 << i))) x = dp[i][x]; return x; } int lca(int x, int y) { if (dis[x] < dis[y]) swap(x, y); x = iPar(x, dis[x] - dis[y]); if (x == y) return x; for (int i = ((int)12) - 1; i >= 0; i--) if (dp[i][x] != dp[i][y]) x = dp[i][x], y = dp[i][y]; return dp[0][x]; } int main() { cin >> n; for (int i = 0; i < n; i++) { int v, u; cin >> v >> u; v++; u++; e[v].push_back(u); e[u].push_back(v); } dfs_cycle(1); for (auto u : cycle) pre_dfs(u, pos[u]); for (int i = 1; i <= n; i++) for (int j = i + 1; j <= n; j++) { if (pos[i] == pos[j]) { ans += (long double)1 / (dis[i] + dis[j] - 2 * dis[lca(i, j)] + 1); continue; } int p = abs(pos[i] - pos[j]), q = (int)cycle.size() - p; ans += (long double)1 / (dis[i] + dis[j] + p + 1) + (long double)1 / (dis[i] + dis[j] + q + 1) - (long double)1 / (dis[i] + dis[j] + p + q); } ans *= 2; ans += n; cout << fixed << setprecision(15) << ans << "\n"; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> inline void smin(T &a, const U &b) { if (a > b) a = b; } template <typename T, typename U> inline void smax(T &a, const U &b) { if (a < b) a = b; } template <class T> inline void gn(T &first) { char c, sg = 0; while (c = getchar(), (c > '9' || c < '0') && c != '-') ; for ((c == '-' ? sg = 1, c = getchar() : 0), first = 0; c >= '0' && c <= '9'; c = getchar()) first = (first << 1) + (first << 3) + c - '0'; if (sg) first = -first; } template <class T1, class T2> inline void gn(T1 &x1, T2 &x2) { gn(x1), gn(x2); } int power(int a, int b, int m, int ans = 1) { for (; b; b >>= 1, a = 1LL * a * a % m) if (b & 1) ans = 1LL * ans * a % m; return ans; } vector<int> adj[3030]; int vst[3030], fa[3030]; int flag[3030]; int id[3030]; int dfs(int u) { vst[u] = 1; for (int v : adj[u]) { if (v == fa[u]) continue; if (vst[v]) { int len = 0; while (u != v) { flag[u] = ++len; id[len] = u; u = fa[u]; } flag[u] = ++len; id[len] = u; return len; } fa[v] = u; int res = dfs(v); if (res) return res; } return 0; } int top[3030], dep[3030]; void dfs(int u, int root, int f = -1) { top[u] = root; for (int v : adj[u]) { if (v == f || flag[v]) continue; dep[v] = dep[u] + 1; dfs(v, root, u); } } int dp[3030]; void dfs1(int u, int f = -1) { for (int v : adj[u]) { if (v == f || flag[v]) continue; dp[v] = dp[u] + 1; dfs1(v, u); } } int main() { int n; cin >> n; for (int i = 0; i < n; i++) { int u, v; gn(u, v); adj[u].push_back(v); adj[v].push_back(u); } int len = dfs(0); for (int i = 1; i <= len; i++) dfs(id[i], id[i]); double ans = 0; for (int i = 0; i < n; i++) { int tmp = flag[top[i]]; flag[top[i]] = 0; dp[i] = 0; dfs1(i); flag[top[i]] = tmp; for (int j = 0; j < n; j++) { if (top[i] == top[j]) { ans += 1.0 / (dp[j] + 1); continue; } int a = dep[i] + dep[j] + 2; int b = abs(flag[top[i]] - flag[top[j]]) - 1; int c = len - b - 2; ans += 1.0 / (a + b) + 1.0 / (a + c) - 1.0 / (a + b + c); } } printf("%.15lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3000 + 5; int n; int hd[N], to[N * 2], nxt[N * 2]; inline void add_se(int idx, int a, int b) { nxt[idx] = hd[a]; hd[a] = idx; to[idx] = b; } int sz_circ, circ[N], at_circ[N], stk[N], stkfr[N], b_stk; ; bool vis[N], incirc[N], e_incirc[N]; bool dfs_circ(int u, int f) { stk[++b_stk] = u; vis[u] = true; for (int e = hd[u]; e; e = nxt[e]) { int v = to[e]; if (v == f) continue; if (vis[v]) { int vat = b_stk; while (stk[vat] != v) --vat; for (int i = vat; i <= b_stk; ++i) { circ[++sz_circ] = stk[i]; incirc[stk[i]] = true; at_circ[stk[i]] = sz_circ; } e_incirc[e >> 1] = true; return true; } if (dfs_circ(v, u)) { if (incirc[u]) e_incirc[e >> 1] = true; return true; } } --b_stk; return false; } int inpart[N]; void dfs_part(int u, int f, int p) { inpart[u] = p; for (int e = hd[u]; e; e = nxt[e]) if (!e_incirc[e >> 1]) { int v = to[e]; if (v == f) continue; dfs_part(v, u, p); } } int cnt[N]; void dfs_cnt(int u, int f) { cnt[u] = cnt[f] + 1; for (int e = hd[u]; e; e = nxt[e]) if (!e_incirc[e >> 1]) { int v = to[e]; if (v == f) continue; dfs_cnt(v, u); } } int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) { int a, b; scanf("%d%d", &a, &b); ++a, ++b; add_se(i << 1, a, b), add_se(i << 1 | 1, b, a); } dfs_circ(1, 0); for (int i = 1; i <= sz_circ; ++i) dfs_part(circ[i], 0, i); double ans = 0.; for (int i = 1; i <= n; ++i) { dfs_cnt(i, 0); for (int j = 1; j <= sz_circ; ++j) if (j != inpart[i]) { dfs_cnt(circ[j], 0); } for (int j = 1; j <= n; ++j) { if (inpart[j] == inpart[i]) ans += 1. / cnt[j]; else { int onepart = abs(inpart[i] - inpart[j]), cnt1 = cnt[j], cnt2 = cnt[circ[inpart[i]]]; ans += 1. / (cnt1 + cnt2 + onepart - 1); ans += 1. / (cnt1 + cnt2 + sz_circ - onepart - 1); ans -= 1. / (cnt1 + cnt2 + sz_circ - 2); } } } printf("%.10f\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> namespace ringo { template <class T> inline void read(T &x) { x = 0; char c = getchar(); bool f = 0; while (!isdigit(c)) f ^= c == '-', c = getchar(); while (isdigit(c)) x = x * 10 + c - '0', c = getchar(); if (f) x = -x; } template <class T> inline void print(T x) { if (x < 0) putchar('-'), x = -x; if (x > 9) print(x / 10); putchar('0' + x % 10); } template <class T> inline void print(T x, char c) { print(x), putchar(c); } template <class T> inline void print(T a, int l, int r, std::string s = "") { if (s != "") std::cout << s << ": "; for (int i = l; i <= r; i++) print(a[i], " \n"[i == r]); } const int N = 3010; double ans; bool vis[N], tag[N]; std::pair<int, int> R; std::vector<int> C, S[N], G[N]; int n, m, dep[N], fa[N], d[N][N]; inline int dis(int u, int v) { return d[u][v]; } inline int dis2(int u, int v) { return std::min(d[u][R.first] + d[R.second][v] + 1, d[u][R.second] + d[R.first][v] + 1); } std::vector<int> dfs(int u) { vis[u] = 1; std::vector<int> U(1, u); for (auto v : G[u]) if (v != fa[u]) { if (vis[v]) { R = std::make_pair(u, v); } else { fa[v] = u, dep[v] = dep[u] + 1; auto V = dfs(v); for (auto i : U) for (auto j : V) d[i][j] = d[j][i] = dep[i] + dep[j] - (dep[u] << 1); for (auto v : V) U.push_back(v); } } return U; } void addNodes(int u, int fa, std::vector<int> &S) { S.push_back(u); for (auto v : G[u]) if (v != fa) { addNodes(v, u, S); } } void main() { read(n); for (int u, v, i = 1; i <= n; i++) { read(u), read(v), ++u, ++v; G[u].push_back(v), G[v].push_back(u); } dfs(1); int u = R.first, v = R.second; if (dep[u] > dep[v]) std::swap(u, v); while (dep[v] > dep[u]) tag[v] = 1, v = fa[v]; while (u != v) tag[u] = tag[v] = 1, u = fa[u], v = fa[v]; tag[u] = 1; for (int i = 1; i <= n; i++) if (tag[i]) C.push_back(i); for (auto u : C) { S[u].push_back(u); for (auto v : G[u]) if (!tag[v]) { addNodes(v, u, S[u]); } } for (auto ru : C) for (auto rv : C) if (ru != rv) { int y = dis(ru, rv) - 1, z = dis2(ru, rv) - 1; for (auto u : S[ru]) for (auto v : S[rv]) { int x = dis(u, ru) + dis(v, rv) + 2; double w = (1 / (double)(x + y + z)) * (1 + y / (double)(x + z) + z / (double)(x + y)); ans += w; } } for (auto r : C) for (auto u : S[r]) for (auto v : S[r]) if (u != v) { double w = 1 / ((double)dis(u, v) + 1); ans += w; } printf("%.15lf\n", ans + n); } } // namespace ringo signed main() { return ringo::main(), 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; vector<int> adj[3000]; bool visited[3000]; bool incycle[3000]; int find_cycle(int u, int p) { if (visited[u]) return u; visited[u] = true; for (int c : adj[u]) if (c != p) { int x = find_cycle(c, u); if (x != -1) { incycle[u] = true; return x == u ? -1 : x; } } return -1; } double compute(int a, int b, int nc) { if (b == 0) return 1.0 / (a + 1); int c = nc - b; return 1.0 / (a + b + c) + (double)(b - 1) / ((a + b + c) * (a + c + 1)) + (double)(c - 1) / ((a + b + c) * (a + b + 1)); } double dfs(int x, int a, int b, int nc) { visited[x] = true; double ans = compute(a, b, nc); for (int c : adj[x]) if (!visited[c]) { int aa = a, bb = b; (incycle[x] && incycle[c] ? bb : aa)++; ans += dfs(c, aa, bb, nc); } return ans; } int main() { int n; scanf("%d", &n); for (int i = 0; i < n; i++) { int a, b; scanf("%d %d", &a, &b); adj[a].push_back(b); adj[b].push_back(a); } find_cycle(0, -1); int nc = count(incycle, incycle + n, true); double ans = 0; for (int i = 0; i < n; i++) { fill_n(visited, n, false); ans += dfs(i, 0, 0, nc); } printf("%.15f\n", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; template <class T> inline void read(T& num) { num = 0; bool f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = 0; ch = getchar(); } while (ch >= '0' && ch <= '9') { num = num * 10 + ch - '0'; ch = getchar(); } num = f ? num : -num; } template <class T> inline void write(T x, char ch) { int s[100]; if (x == 0) { putchar('0'); putchar(ch); return; } if (x < 0) { putchar('-'); x = -x; } int num = 0; while (x) { s[num++] = (x % 10); x = x / 10; } for (int i = (num - 1); i >= (0); i--) putchar(s[i] + '0'); putchar(ch); } int n, tot, siz; int d[3005], d2[3005], last[3005]; double ans; bool v[3005]; struct hh { int next, to; } e[7005]; queue<int> q; void add(int a, int b) { e[++tot].to = b; e[tot].next = last[a]; last[a] = tot; } void insert(int a, int b) { add(a, b); add(b, a); } void dfs(int now) { int i, j; v[now] = true; for (i = last[now]; i; i = e[i].next) if (!v[e[i].to]) { d2[e[i].to] = d2[now] + 1; if (!d[e[i].to]) d[e[i].to] = d[now] + 1, ans += 1.0 / d[e[i].to]; else ans += 1.0 / d2[e[i].to] - 2.0 / (d[e[i].to] + d2[e[i].to] + siz - 2); dfs(e[i].to); } v[now] = false; } int main() { int i, j, u, v, now; read(n); siz = n; for (i = 1; i <= n; i++) { read(u); read(v); u++; v++; d[u]++; d[v]++; insert(u, v); } for (i = 1; i <= n; i++) if (d[i] == 1) q.push(i); while (!q.empty()) { now = q.front(); q.pop(); siz--; for (i = last[now]; i; i = e[i].next) if (--d[e[i].to] == 1) q.push(e[i].to); } for (i = 1; i <= n; i++) { memset(d, 0, sizeof(d)); memset(d2, 0, sizeof(d2)); d[i] = d2[i] = 1; dfs(i); } printf("%lf", ans + (double)n); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; struct graph { int nxt, to; } e[3005 << 1]; int g[3005], t[3005], d1[3005], d2[3005], n, cnt; bool ins[3005]; double ans; queue<int> q; inline int read() { int ret = 0; char c = getchar(); while (!isdigit(c)) c = getchar(); while (isdigit(c)) { ret = (ret << 1) + (ret << 3) + c - '0'; c = getchar(); } return ret; } inline void addedge(int x, int y) { e[++cnt].nxt = g[x]; g[x] = cnt; e[cnt].to = y; } inline void toposort() { int u; for (int i = 1; i <= n; ++i) if (t[i] == 1) q.push(i); while (!q.empty()) { u = q.front(); q.pop(); ++cnt; for (int i = g[u]; i; i = e[i].nxt) if ((--t[e[i].to] == 1)) q.push(e[i].to); } } inline void dfs(int u) { ins[u] = true; for (int i = g[u]; i; i = e[i].nxt) if (!ins[e[i].to]) { d2[e[i].to] = d2[u] + 1; if (!d1[e[i].to]) { d1[e[i].to] = d1[u] + 1; ans += 1.0 / (double)(d1[e[i].to]); } else { ans += 1.0 / (double)(d2[e[i].to]) - 2.0 / (double)(d1[e[i].to] + d2[e[i].to] + cnt - 2); } dfs(e[i].to); } ins[u] = false; } inline void Aireen() { n = read(); for (int i = 1, j, k; i <= n; ++i) { j = read() + 1; k = read() + 1; addedge(j, k); addedge(k, j); ++t[j]; ++t[k]; } cnt = 0; toposort(); cnt = n - cnt; for (int i = 1; i <= n; ++i) { memset(d1, 0, sizeof(d1)); memset(d2, 0, sizeof(d2)); d1[i] = d2[i] = 1; dfs(i); } printf("%.8lf\n", ans + n); } int main() { Aireen(); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 3005; int n; int deg[MAXN]; vector<int> edges[MAXN]; double ans = 0; int vis[MAXN]; int dist[MAXN], dist2[MAXN]; int cirsiz = 0; void dfs(int x) { vis[x] = 1; for (auto nex : edges[x]) if (!vis[nex]) { dist2[nex] = dist2[x] + 1; if (!dist[nex]) { dist[nex] = dist[x] + 1; ans += 1. / dist[nex]; } else { ans += 1. / dist2[nex] - 2. / (dist[nex] + dist2[nex] + cirsiz - 2); } dfs(nex); } vis[x] = 0; } int main() { cin >> n; for (int i = 1, a, b; i <= n; i++) { cin >> a >> b; edges[++a].push_back(++b); edges[b].push_back(a); deg[a]++; deg[b]++; } queue<int> q; for (int i = 1; i <= n; ++i) if (deg[i] == 1) q.push(i), ++cirsiz; while (!q.empty()) { int cur = q.front(); q.pop(); for (auto nex : edges[cur]) if (--deg[nex] == 1) { q.push(nex); ++cirsiz; } } cirsiz = n - cirsiz; for (int i = 1; i <= n; i++) { memset(vis, 0, sizeof(vis)); memset(dist, 0, sizeof(dist)); memset(dist2, 0, sizeof(dist2)); dist[i] = dist2[i] = 1; dfs(i); } printf("%.10lf\n", ans + n); return 0; }
10
CPP
#include <bits/stdc++.h> long long gi() { long long x = 0, f = 1; char ch = getchar(); while (!isdigit(ch)) f ^= ch == '-', ch = getchar(); while (isdigit(ch)) x = x * 10 + ch - '0', ch = getchar(); return f ? x : -x; } std::mt19937 rnd(time(NULL)); template <class T> void cxk(T& a, T b) { a = a > b ? a : b; } template <class T> void cnk(T& a, T b) { a = a < b ? a : b; } int fir[3010], dis[6010], nxt[6010], id; void link(int a, int b) { nxt[++id] = fir[a], fir[a] = id, dis[id] = b; } int cir[3010], stk[3010], tp, ins[3010], vis[3010], m, pos[3010], dep[3010]; void getcycle(int x, int fa = -1) { vis[x] = 1; stk[++tp] = x; ins[x] = tp; for (int i = fir[x]; i; i = nxt[i]) { if (dis[i] == fa) continue; if (!vis[dis[i]]) getcycle(dis[i], x); else if (ins[dis[i]] && !m) for (int j = ins[dis[i]]; j <= tp; ++j) cir[++m] = stk[j]; } ins[x] = 0; --tp; } int dist[3010][3010]; void DFS(int x) { for (int i = fir[x]; i; i = nxt[i]) { if (pos[dis[i]]) continue; dep[dis[i]] = dep[x] + 1; pos[dis[i]] = pos[x]; DFS(dis[i]); } } void getdist(int x, int* di, int fa = -1) { for (int i = fir[x]; i; i = nxt[i]) if (!di[dis[i]]) { di[dis[i]] = di[x] + 1; getdist(dis[i], di, x); } } int main() { int n = gi(), a, b; for (int i = 1; i <= n; ++i) a = gi() + 1, b = gi() + 1, link(a, b), link(b, a); getcycle(1); for (int i = 1; i <= m; ++i) pos[cir[i]] = i; for (int i = 1; i <= m; ++i) DFS(cir[i]); double ans = 0; for (int i = 1; i <= n; ++i) dist[i][i] = 1, getdist(i, dist[i]); for (int i = 1; i <= n; ++i) for (int j = i + 1; j <= n; ++j) if (pos[i] == pos[j]) ans += 1. / dist[i][j]; else { int a = abs(pos[i] - pos[j]), b = m - a; ans += 1. / (dep[i] + dep[j] + a + 1); ans += 1. / (dep[i] + dep[j] + b + 1); ans -= 1. / (dep[i] + dep[j] + m); } printf("%.10lf\n", 2 * ans + n); return 0; }
10
CPP
#include <bits/stdc++.h> const int maxn = 3010; const int maxm = 6010; using namespace std; int ter[maxm], nxt[maxm], lnk[maxn], d[maxn]; int n, m, e, tot, opt[maxn], pos[maxn], dis[maxn], bel[maxn], fa[maxn][20]; bool cir[maxn], vis[maxn]; void add(int x, int y) { ter[++e] = y, nxt[e] = lnk[x], lnk[x] = e; ter[++e] = x, nxt[e] = lnk[y], lnk[y] = e; ++d[x], ++d[y]; } void dfs(int p) { cir[p] = false; for (int i = lnk[p]; i; i = nxt[i]) if (cir[ter[i]]) pos[ter[i]] = pos[p] + 1, dfs(ter[i]); } void _dfs(int p, int fat) { bel[p] = fat; for (int i = lnk[p]; i; i = nxt[i]) if (vis[ter[i]]) { vis[ter[i]] = false; dis[ter[i]] = dis[p] + 1; fa[ter[i]][0] = p; _dfs(ter[i], fat); } } void pre() { memset(cir, true, sizeof(cir)); int he = 0, ta = 0; for (int i = 1; i <= n; ++i) if (d[i] == 1) opt[++ta] = i; while (he != ta) { ++he; int u = opt[he]; cir[u] = false; for (int i = lnk[u]; i; i = nxt[i]) { --d[ter[i]]; if (d[ter[i]] == 1) opt[++ta] = ter[i]; } } tot = 0; for (int i = 1; i <= n; ++i) tot += cir[i]; for (int i = 1; i <= n; ++i) if (cir[i]) { pos[i] = 1; dfs(i); break; } memset(vis, true, sizeof(vis)); for (int i = 1; i <= n; ++i) if (pos[i]) dis[i] = 0, vis[i] = false; for (int i = 1; i <= n; ++i) if (pos[i]) _dfs(i, i); } int lca(int x, int y) { if (dis[x] < dis[y]) swap(x, y); int tmp = dis[x] - dis[y]; for (int i = 15; i >= 0; --i) if ((tmp >> i) & 1) x = fa[x][i]; if (x == y) return x; for (int i = 15; i >= 0; --i) if (fa[x][i] != fa[y][i]) x = fa[x][i], y = fa[y][i]; return fa[x][0]; } int main() { scanf("%d", &n); int x, y; for (int i = 1; i <= n; ++i) scanf("%d%d", &x, &y), ++x, ++y, add(x, y); pre(); for (int j = 1; (1 << j) <= n; ++j) for (int i = 1; i <= n; ++i) fa[i][j] = fa[fa[i][j - 1]][j - 1]; double ans = n; for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) if (i != j) { if (bel[i] == bel[j]) ans += 1.0 / (dis[i] + dis[j] - 2.0 * dis[lca(i, j)] + 1); else { double A = dis[i] + dis[j] + 2, B = abs(pos[bel[i]] - pos[bel[j]]) - 1, C = tot - abs(pos[bel[i]] - pos[bel[j]]) - 1; ans += 1.0 / (A + B) + 1.0 / (A + C) - 1.0 / (A + B + C); } } printf("%.10lf", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int INF = 1 << 29, N = 5e5 + 50, M = 1e6 + 5; inline int read() { int f = 1, x = 0; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } void judge() { freopen("data.in", "r", stdin); freopen("data.out", "w", stdout); } int n, head[N], nxt[N], toit[N], s[N], top, cycle, cnt, bel[N], dis[N]; bool vis[N], flag, incir[N]; void adde(int a, int b) { toit[++cnt] = b, nxt[cnt] = head[a], head[a] = cnt; } void getcir(int v, int fa) { s[++top] = v; vis[v] = 1; for (int(k) = head[v]; k; k = nxt[k]) if (toit[k] != fa) { if (flag) return; if (vis[toit[k]]) { while (s[top] != toit[k]) incir[s[top--]] = 1, cycle++; cycle++; incir[s[top]] = 1; flag = 1; return; } getcir(toit[k], v); } top--; } void dfs1(int v, int fa, int rt, int d) { bel[v] = rt; dis[v] = d; for (int(k) = head[v]; k; k = nxt[k]) if (toit[k] != fa && !incir[toit[k]]) dfs1(toit[k], v, rt, d + 1); } int now, first; double ans; void dfs2(int v, int fa, int d) { if (v == bel[now]) { if (first) return; first++; } ans += 1. / (d + 1); for (int(k) = head[v]; k; k = nxt[k]) if (toit[k] != fa) dfs2(toit[k], v, d + 1); } int main() { n = read(); for (int(i) = (1); (i) <= (n); (i)++) { int a = read(), b = read(); a++; b++; adde(a, b); adde(b, a); } getcir(1, 0); for (int(i) = (1); (i) <= (n); (i)++) if (incir[i]) dfs1(i, 0, i, 0); for (int(i) = (1); (i) <= (n); (i)++) now = i, first = 0, dfs2(i, 0, 0); for (int(i) = (1); (i) <= (n); (i)++) for (int(j) = (1); (j) <= (n); (j)++) if (bel[i] != bel[j]) ans -= 1. / (dis[i] + dis[j] + cycle); printf("%lf", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 100010, M = 1000010, P = 1e9 + 7; const int inf = 0x3f3f3f3f; const int INF = 0xcfcfcfcf; const double eps = 1e-9, pi = asin(1) * 2; inline long long read(); inline int ADD(int a, int b) { return a + b >= P ? a + b - P : a + b; } inline int MINUS(int a, int b) { return a - b < 0 ? a - b + P : a - b; } int head[N], ver[M], nxt[M]; int n, m, tot = 1; inline void add(int x, int y) { ver[++tot] = y, nxt[tot] = head[x], head[x] = tot; } int pos[N], sz = 0, ed = 0; bool visit[N]; inline bool dfs(int x, int fa) { visit[x] = true; for (int i = head[x]; i; i = nxt[i]) { int y = ver[i]; if (y == fa) continue; if (visit[y]) return ed = y, pos[x] = ++sz; if (dfs(y, x) && y != ed) return pos[x] = ++sz; } return visit[x] = false; } int f[N], d[N], size[N], son[N], top[N], rt[N], RT = 0; inline void dfs1(int x, int fa) { f[x] = fa, d[x] = d[fa] + 1, size[x] = 1, rt[x] = RT; for (int i = head[x]; i; i = nxt[i]) { int y = ver[i]; if (y == fa || pos[y]) continue; dfs1(y, x); size[x] += size[y]; if (size[y] > size[son[x]]) son[x] = y; } } inline void dfs2(int x, int t) { top[x] = t; if (!son[x]) return; dfs2(son[x], t); for (int i = head[x]; i; i = nxt[i]) { int y = ver[i]; if (y == f[x] || y == son[x] || pos[y]) continue; dfs2(y, y); } } inline int lca(int x, int y) { int fx = top[x], fy = top[y]; while (fx != fy) { if (d[fx] < d[fy]) swap(x, y), swap(fx, fy); x = f[fx], fx = top[x]; } if (d[x] > d[y]) return y; return x; } inline int dis(int x, int y) { return d[x] + d[y] - 2 * d[lca(x, y)]; } inline long long read() { long long s = 0; bool flag = false; char ch = getchar(); for (; ch < '0' || ch > '9'; ch = getchar()) if (ch == '-') flag = true; for (; '0' <= ch && ch <= '9'; ch = getchar()) s = (s << 3) + (s << 1) + (ch ^ '0'); if (flag) return -s; return s; } int main() { n = read(); for (int i = 1; i <= n; i++) { int x = read() + 1, y = read() + 1; add(x, y), add(y, x); } dfs(1, 0); for (int i = 1; i <= n; i++) if (pos[i]) RT = i, dfs1(i, 0), dfs2(i, i); double ans = 0; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { if (rt[i] == rt[j]) { ans += 1.0 / (dis(i, j) + 1); } else { int x = d[i] + d[j], y = abs(pos[rt[i]] - pos[rt[j]]) - 1, z = sz - 2 - y; ans += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } } } printf("%.15lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int vis[3010]; vector<int> ne[3010]; int n, siz; int du[3010]; queue<int> q; double ans; void dfs(int u, int siza, int sizb, int top) { if (du[u] == 2) sizb++; else siza++; vis[u] = top; if (sizb == siz) ans += 1.0 / (siza + 2); else if (sizb <= 2) ans += 1.0 / (siza + sizb); else ans += 1.0 / (siza + sizb) + 1.0 / (siza + siz - sizb + 2) - 1.0 / (siza + siz); for (int v : ne[u]) if (vis[v] != top) dfs(v, siza, sizb, top); } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { int x, y; scanf("%d%d", &x, &y); x++, y++; ne[x].push_back(y); ne[y].push_back(x); du[x]++, du[y]++; } for (int i = 1; i <= n; i++) if (du[i] == 1) q.push(i); while (q.size()) { int u = q.front(); q.pop(); for (int v : ne[u]) if ((--du[v]) == 1) q.push(v); } for (int i = 1; i <= n; i++) if (du[i] == 2) siz++; for (int i = 1; i <= n; i++) dfs(i, 0, 0, i); printf("%.10f\n", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; void file(string s) { freopen((s + ".in").c_str(), "r", stdin); freopen((s + ".out").c_str(), "w", stdout); } template <typename Tp> void read(Tp &x) { int fh = 1; char c = getchar(); x = 0; while (c > '9' || c < '0') { if (c == '-') { fh = -1; } c = getchar(); } while (c >= '0' && c <= '9') { x = (x << 1) + (x << 3) + (c & 15); c = getchar(); } x *= fh; } vector<int> G[1000005], nG[1000005]; int n, m; int ff[1000005]; int fid(int x) { return ff[x] == x ? ff[x] : ff[x] = fid(ff[x]); } int cycdep[1000005], ffa[1000005], nm; void dfs0(int x, int pa) { ffa[x] = pa; for (auto y : G[x]) { if (y == pa) continue; if (ffa[y]) { cycdep[x] = 1; for (int yy = ffa[x], nm = 2; yy != x; yy = ffa[yy], ++nm) cycdep[yy] = nm; return; } else dfs0(y, x); } } long double ans; void dfs(int x, int pa, int dep, int flg1, int flg2) { if (x == n + 1) { for (auto y : nG[x]) { if (y == pa) continue; dfs(y, x, dep, pa, y); } return; } for (auto y : nG[x]) { if (y == pa) continue; dfs(y, x, dep + 1, flg1, flg2); } if (flg1) { int a = cycdep[flg1], b = cycdep[flg2]; int aa = abs(a - b), bb = nm - aa; --aa, --bb; ans += 1.0 / (dep + aa); ans += 1.0 / (dep + bb); ans -= 1.0 / (dep + aa + bb); } else { ans += 1.0 / dep; } } signed main() { int RT, X; read(n); for (int i = 1; i <= n; ++i) ff[i] = i; for (int i = 1, u, v; i <= n; ++i) { read(u); read(v); ++u; ++v; G[u].push_back(v); G[v].push_back(u); if (fid(u) == fid(v)) { RT = u; X = v; } else { ff[fid(u)] = fid(v); } } dfs0(RT, X); for (int i = 1; i <= n; ++i) { for (auto y : G[i]) { if (cycdep[i] && cycdep[y]) continue; nG[i].push_back(y); } } for (int i = 1; i <= n; ++i) { if (cycdep[i]) { nG[n + 1].push_back(i); nG[i].push_back(n + 1); ++nm; } } for (int i = 1; i <= n; ++i) { dfs(i, 0, 1, 0, 0); } cout << fixed << setprecision(15) << ans << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; template <class T1> void debug(T1 e) { cout << e << endl; } template <class T1, class T2> void debug(T1 e1, T2 e2) { cout << e1 << "\t" << e2 << endl; } template <class T1, class T2, class T3> void debug(T1 e1, T2 e2, T3 e3) { cout << e1 << "\t" << e2 << "\t" << e3 << endl; } template <class T1, class T2, class T3, class T4> void debug(T1 e1, T2 e2, T3 e3, T4 e4) { cout << e1 << "\t" << e2 << "\t" << e3 << "\t" << e4 << endl; } template <class T1, class T2, class T3, class T4, class T5> void debug(T1 e1, T2 e2, T3 e3, T4 e4, T5 e5) { cout << e1 << "\t" << e2 << "\t" << e3 << "\t" << e4 << "\t" << e5 << endl; } template <class T1, class T2, class T3, class T4, class T5, class T6> void debug(T1 e1, T2 e2, T3 e3, T4 e4, T5 e5, T6 e6) { cout << e1 << "\t" << e2 << "\t" << e3 << "\t" << e4 << "\t" << e5 << "\t" << e6 << endl; } template <class T> void debug(vector<vector<T> > e, int row, int col) { int i, j; for (i = 0; i < row; i++) { for (j = 0; j < col; j++) cout << e[i][j] << " "; cout << endl; } cout << endl; } template <class T> void debug(vector<basic_string<T> > e, int row, int col) { int i, j; for (i = 0; i < row; i++) { for (j = 0; j < col; j++) cout << e[i][j]; cout << endl; } cout << endl; } template <class T> void debug(T e[110][110], int row, int col) { int i, j; for (i = 0; i < row; i++) { for (j = 0; j < col; j++) cout << e[i][j] << " "; cout << endl; } } template <class T> string toString(T n) { ostringstream oss; oss << n; oss.flush(); return oss.str(); } int toInt(string s) { int r = 0; istringstream sin(s); sin >> r; return r; } bool isVowel(char ch) { ch = tolower(ch); if (ch == 'a' || ch == 'e' || ch == 'i' || ch == 'o' || ch == 'u') return true; return false; } bool isUpper(char c) { return c >= 'A' && c <= 'Z'; } bool isLower(char c) { return c >= 'a' && c <= 'z'; } vector<int> adj[3110]; int n; int col[3110]; int cyclecolor; void predfs(int node, int par) { col[node] = node + 1; int i; for (i = 0; i < ((int)adj[node].size()); i++) { int tem = adj[node][i]; if (tem == par) continue; if (col[tem]) { cyclecolor = col[node] = col[tem]; continue; } predfs(tem, node); if (col[tem] != (tem + 1)) col[node] = col[tem]; } } bool temcol[3110]; int cyclelength; double ans; void dfs(int node, int c, int len) { if (temcol[node]) return; temcol[node] = true; ans += (1.0 / len); if (c > 2 && (len + cyclelength - 2 * c + 2) > 0) ans += (1.0 * (c - 2)) / ((len - c + cyclelength) * (len + cyclelength - 2 * c + 2)); int i; for (i = 0; i < ((int)adj[node].size()); i++) { int tem = adj[node][i]; dfs(tem, c + (cyclecolor == col[tem]), len + 1); } } int main() { while (cin >> n) { int i, u, v; for (i = 1; i <= n; i++) { cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); } predfs(0, -1); for (i = 0; i < n; i++) cyclelength += (cyclecolor == col[i]); for (i = 0; i < n; i++) { memset(temcol, false, sizeof(temcol)); dfs(i, (cyclecolor == col[i]), 1); } printf("%.12lf\n", ans); } return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; struct road { int x, next; } r[3005 * 2]; int N, M; double ans; int fa[3005], flag; int st[3005], w, vis[3005], pr[3005]; int deep[3005], lca[3005][3005], rt[3005]; int loop[3005], num[3005], cnt; int stk[3005], top; int find(int x) { if (fa[x] == x) return x; return fa[x] = find(fa[x]); } void add(int x, int y) { r[++w].x = y, r[w].next = st[x]; st[x] = w; } void Find_loop(int x, int fr) { int i, j, tmp; stk[++top] = x, vis[x] = 1; for (i = st[x]; i; i = r[i].next) { tmp = r[i].x; if (tmp == fr) continue; if (vis[tmp]) if (!num[tmp]) { for (j = top; j && stk[j + 1] != tmp; j--) loop[++cnt] = stk[j], num[stk[j]] = cnt; } else ; else Find_loop(tmp, x); } top--; } void Dfs(int x, int fr) { int i, tmp; deep[x] = deep[fr] + 1, pr[x] = fr; for (i = st[x]; i; i = r[i].next) { tmp = r[i].x; if (tmp == fr || num[tmp]) continue; Dfs(tmp, x); } rt[x] = flag; for (i = 1; i <= N; i++) if (rt[i] == rt[x]) lca[i][x] = lca[x][i] = ((find(i) == x) ? x : pr[find(i)]); for (i = st[x]; i; i = r[i].next) { tmp = r[i].x; if (tmp == fr || num[tmp]) continue; fa[find(tmp)] = x; } } int main() { int i, j; int fr, to; double tmp, tt, all; scanf("%d", &N); for (i = 1; i <= N; i++) { fa[i] = i; scanf("%d %d", &fr, &to); fr++, to++; add(fr, to), add(to, fr); } Find_loop(1, 0); for (i = 1; i <= cnt; i++) flag = loop[i], Dfs(loop[i], 0); for (i = 1; i <= N; i++) for (j = 1; j <= N; j++) { if (rt[i] == rt[j]) ans += 1.0 / (deep[i] + deep[j] - deep[lca[i][j]] * 2 + 1); else { fr = num[rt[i]], to = num[rt[j]]; tmp = deep[i] + deep[j]; tt = abs(fr - to) + 1; all = tmp + cnt - 2; ans += 1; ans -= (tmp - 1) / (double)all; ans -= ((tt - 2) / all) * ((tmp + cnt - tt - 1) / (tmp + cnt - tt)); ans -= ((cnt - tt) / all) * ((tmp + tt - 3) / (tmp + tt - 2)); } } printf("%.10lf\n", ans); return 0; }
10
CPP