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#include <bits/stdc++.h> using namespace std; const long double eps = 1e-9; const int inf = (1 << 30) - 1; const long long inf64 = ((long long)1 << 62) - 1; const long double pi = acos(-1); template <class T> T sqr(T x) { return x * x; } template <class T> T abs(T x) { return x < 0 ? -x : x; } const int MAXN = 10 * 1000; int n, sum_x; pair<int, pair<int, int> > edg[MAXN]; int x[MAXN], color[MAXN], num[MAXN], sum[MAXN]; bool check(int w) { for (int i = 0; i < n; ++i) { color[i] = i; } for (int i = 0; i < n - 1 && edg[i].first < w; ++i) { int v1 = edg[i].second.first; int v2 = edg[i].second.second; if (color[v1] != color[v2]) { int c1 = color[v1]; for (int i = 0; i < n; ++i) { if (color[i] == c1) { color[i] = color[v2]; } } } } for (int i = 0; i < n; ++i) { num[i] = 0; sum[i] = 0; } for (int i = 0; i < n; ++i) { num[color[i]]++; sum[color[i]] += x[i]; } for (int i = 0; i < n; ++i) { if (num[i] > sum_x - sum[i]) { return false; } } return true; } int main() { cin >> n; int max_w = 0; for (int i = 0; i < n - 1; ++i) { scanf("%d %d %d", &edg[i].second.first, &edg[i].second.second, &edg[i].first); edg[i].second.first--; edg[i].second.second--; max_w = max(max_w, edg[i].first); } sum_x = 0; for (int i = 0; i < n; ++i) { scanf("%d", &x[i]); sum_x += x[i]; } sort(edg, edg + n - 1); int l = 0; int r = max_w; while (l < r) { int m = (l + r + 1) / 2; if (check(m)) { l = m; } else { r = m - 1; } } cout << l << endl; return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:256000000") using namespace std; const int N = 3100; struct edge { int a, b, c; }; bool operator<(const edge& l, const edge& r) { if (l.c != r.c) return l.c < r.c; if (l.a != r.a) return l.a < r.a; return l.b < r.b; } int n, cap[N]; edge e[N]; int prnt[N], rnk[N], nd[N], fr[N]; int find(int x) { return x == prnt[x] ? x : prnt[x] = find(prnt[x]); } void unite(int x, int y) { x = find(x); y = find(y); if (x == y) return; if (rnk[x] >= rnk[y]) { prnt[y] = x; nd[x] += nd[y]; fr[x] += fr[y]; } else { prnt[x] = y; nd[y] += nd[x]; fr[y] += fr[x]; } if (rnk[x] == rnk[y]) ++rnk[x]; } void init() { for (int i = 0; i <= n; ++i) { prnt[i] = i; rnk[i] = 0; nd[i] = 1; fr[i] = cap[i]; } } bool check(int f) { init(); int i = 0; for (; i < n - 1 && e[i].c < f; ++i) unite(e[i].a, e[i].b); int tl = 0; for (int i = 1; i <= n; ++i) if (prnt[i] == i) tl += fr[i]; for (int i = 1; i <= n; ++i) if (prnt[i] == i) { if (nd[i] > tl - fr[i]) return false; } return true; } int main() { scanf("%d", &n); int l = 0, r = 0; for (int i = 0; i < n - 1; ++i) { scanf("%d %d %d", &e[i].a, &e[i].b, &e[i].c); r = max(r, e[i].c + 1); } for (int i = 1; i <= n; ++i) scanf("%d", cap + i); sort(e, e + n - 1); while (r - l > 1) { int mid = (l + r) / 2; if (check(mid)) l = mid; else r = mid; } cout << l << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long MX = 3009; long long x[MX], par[MX], num[MX], ans = 0; pair<long long, pair<long long, long long> > edg[MX]; void MS(long long v) { par[v] = -1; num[v] = x[v]; } long long FS(long long v) { if (par[v] < 0) return v; return par[v] = FS(par[v]); } void US(long long a, long long b) { a = FS(a), b = FS(b); if (a == b) return; if (par[a] > par[b]) swap(a, b); par[a] += par[b]; par[b] = a; num[a] += num[b]; } int32_t main() { ios::sync_with_stdio(0); cin.tie(0); long long n; cin >> n; for (long long i = 0; i < n - 1; i++) { long long u, v, w; cin >> u >> v >> w; edg[i] = {w, {u, v}}; } for (long long i = 1; i <= n; i++) cin >> x[i]; for (long long i = 1; i <= n; i++) MS(i); sort(edg, edg + n - 1); for (long long i = 0; i < n - 1; i++) { long long u = edg[i].second.first, v = edg[i].second.second, w = edg[i].first; long long maxx = 0, sum = 0, res = 1; for (long long j = 1; j <= n; j++) { if (par[j] < 0) { maxx = max(maxx, -par[j]); sum += num[j]; } } for (long long j = 1; j <= n; j++) { if (par[j] < 0) { if (sum - num[j] < -par[j]) res = 0; } } if (res) ans = w; US(u, v); } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100010; int n, fa[maxn], size[maxn], a[maxn], sum = 0; struct node { int u, v, w; } t[maxn]; bool cmp(node x, node y) { return x.w < y.w; } int find(int x) { if (x == fa[x]) return x; return fa[x] = find(fa[x]); } int main() { scanf("%d", &n); for (int i = 1; i < n; i++) scanf("%d%d%d", &t[i].u, &t[i].v, &t[i].w); for (int i = 1; i <= n; i++) { scanf("%d", &a[i]); fa[i] = i; size[i] = 1; sum += a[i]; } sort(t + 1, t + n, cmp); for (int i = 1; i < n; i++) { int fx = find(t[i].u), fy = find(t[i].v); if (fx == fy) continue; fa[fx] = fy; size[fy] += size[fx]; a[fy] += a[fx]; if (size[fy] > sum - a[fy]) { printf("%d\n", t[i].w); return 0; } } printf("%d\n", t[n - 1].w); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 3001; int ex[MAXN], ey[MAXN], w[MAXN], f[MAXN], sum, par[MAXN], sz[MAXN], sumF[MAXN]; pair<int, int> all[MAXN]; bool bad; int find(int x) { if (par[x] != x) par[x] = find(par[x]); return par[x]; } void merge(int x, int y) { x = find(x); y = find(y); if (x == y) return; sz[x] += sz[y]; sumF[x] += sumF[y]; par[y] = x; if (sum - sumF[x] < sz[x]) bad = true; } int main() { int n; cin >> n; for (int i = 0; i < n - 1; i++) { cin >> ex[i] >> ey[i] >> w[i]; ex[i]--; ey[i]--; all[i] = pair<int, int>(w[i], i); } for (int i = 0; i < n; i++) cin >> f[i], sum += f[i], sumF[i] = f[i], par[i] = i, sz[i] = 1; sort(all, all + n - 1); int ans = 0, cur = 0; while (cur < n - 1) { int edgeId = all[cur].second; if (!bad) ans = w[edgeId]; merge(ex[edgeId], ey[edgeId]); while (cur < n - 1 && w[edgeId] == all[cur].first) merge(ex[all[cur].second], ey[all[cur].second]), cur++; } if (!bad && n > 1) ans = w[all[n - 2].second]; cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 3005; int N; vector<int> adj[MAXN]; vector<int> len[MAXN]; int X[MAXN]; bool vis[MAXN]; int total = 0, nodecnt = 0, xcnt = 0; void dfs(int node, int val) { vis[node] = true; nodecnt++; xcnt += X[node]; for (int i = 0; i < adj[node].size(); i++) { int next = adj[node][i]; if (!vis[next] && len[node][i] < val) dfs(next, val); } } bool check(int val) { memset(vis, false, sizeof(vis)); for (int i = 0; i < N; i++) if (!vis[i]) { nodecnt = 0, xcnt = 0; dfs(i, val); if (nodecnt > total - xcnt) return false; } return true; } int main() { cin >> N; for (int i = 0; i < N - 1; i++) { int a, b, c; cin >> a >> b >> c; a--, b--; adj[a].push_back(b); adj[b].push_back(a); len[a].push_back(c); len[b].push_back(c); } for (int i = 0; i < N; i++) { cin >> X[i]; total += X[i]; } int lo = 0, hi = 10000; while (lo < hi) { int mid = lo + (hi - lo + 1) / 2; if (check(mid)) lo = mid; else hi = mid - 1; } cout << lo << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; int n, par[((int)21 * 1000)], all, a[((int)21 * 1000)], b[((int)21 * 1000)], c[((int)21 * 1000)]; vector<pair<int, pair<int, int> > > ed; int root(int x) { if (par[x] == -1) return x; return par[x] = root(par[x]); } bool check(int x) { memset(par, -1, sizeof par); for (auto q : ed) { if (q.first >= x) break; par[root(q.second.first)] = root(q.second.second); } memset(b, 0, sizeof b); memset(c, 0, sizeof c); for (int i = 1; i <= n; i++) b[root(i)]++, c[root(i)] += a[i]; for (int i = 1; i <= n; i++) if (par[i] == -1 && all - c[i] < b[i]) return 0; return 1; } int main() { cin >> n; for (int i = 0; i < n - 1; i++) { int v, u, w; cin >> v >> u >> w; ed.push_back({w, {v, u}}); } for (int i = 1; i <= n; i++) cin >> a[i], all += a[i]; sort(ed.begin(), ed.end()); int l = 0, r = 20 * 1000; while (l < r - 1) { int mid = l + r >> 1; if (check(mid)) l = mid; else r = mid; } cout << l; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 200100; long long t[MAXN], g[MAXN], pai[MAXN]; struct str { long long l, r, w; }; str are[MAXN]; bool comp(str a, str b) { return a.w < b.w; } bool comp2(long long x, long long y) { return t[x] > t[y]; } long long find(long long x) { if (pai[x] == x) return pai[x]; return pai[x] = find(pai[x]); } void join(long long a, long long b) { long long x = find(a), y = find(b); g[y] += g[x]; t[y] += t[x]; pai[x] = y; } bool vis[MAXN]; signed main() { memset(g, 0, sizeof g); long long n; cin >> n; for (long long i = 1; i <= n; i++) t[i] = 1, pai[i] = i; for (long long i = 1; i < n; i++) { long long x, y, z; cin >> x >> y >> z; are[i].l = x, are[i].r = y, are[i].w = z; } long long soma = 0; for (long long i = 1; i <= n; i++) { long long x; cin >> x; g[i] = x - 1; soma += x - 1; } sort(are + 1, are + n, comp); long long resp = 0; for (long long i = 0; i < n - 1; i++) { if (i != 0) join(are[i].l, are[i].r); memset(vis, false, sizeof vis); vector<long long> vec; for (long long j = 1; j <= n; j++) { long long x = find(j); if (vis[x] == true) continue; vis[x] = true; vec.push_back(x); } sort(vec.begin(), vec.end(), comp2); if (t[vec[0]] <= n - t[vec[0]] + soma - g[vec[0]]) resp = are[i + 1].w; else break; } cout << resp << endl; }
#include <bits/stdc++.h> using namespace std; const int INF = 2147483647; template <class T> int size(T &x) { return x.size(); } int main() { int n; scanf("%d\n", &n); vector<pair<int, int> > *adj = new vector<pair<int, int> >[n]; for (int i = 0; i < n - 1; i++) { int a, b, c; scanf("%d %d %d\n", &a, &b, &c); a--, b--; adj[a].push_back(pair<int, int>(b, c)); adj[b].push_back(pair<int, int>(a, c)); } vector<int> cnt(n); int totalcnt = 0; for (int i = 0; i < n; i++) { scanf("%d\n", &cnt[i]); totalcnt += cnt[i]; } int lo = 0, hi = 10000; while (lo < hi) { int m = hi - (hi - lo) / 2; bool ok = true; vector<bool> visited(n, false); for (int i = 0; ok && i < n; i++) { if (visited[i]) continue; stack<int> S; S.push(i); visited[i] = true; int cursize = 0; int curcnt = 0; while (!S.empty()) { int cur = S.top(); S.pop(); cursize++; curcnt += cnt[cur]; for (int i = 0; i < size(adj[cur]); i++) { pair<int, int> nxt = adj[cur][i]; if (nxt.second >= m) { continue; } if (!visited[nxt.first]) { S.push(nxt.first); visited[nxt.first] = true; } } } ok = cursize <= totalcnt - curcnt; } if (ok) { lo = m; } else { hi = m - 1; } } printf("%d\n", hi); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0; char ch = getchar(); bool positive = 1; for (; ch < '0' || ch > '9'; ch = getchar()) if (ch == '-') positive = 0; for (; ch >= '0' && ch <= '9'; ch = getchar()) x = x * 10 + ch - '0'; return positive ? x : -x; } const int N = 3005 * 4, inf = 1 << 28; int n, l, S = 0, T = 1, p[N], c[N], x[N], y[N], z[N], xx[N], yy[N], ed[N * 8], data[N * 8], Next[N * 8], son[N], d[N], f[N]; bool cmp(const int i, const int j) { return z[i] < z[j]; } void add(int x, int y, int z) { ed[++l] = y, data[l] = z, Next[l] = son[x], son[x] = l; ed[++l] = x, data[l] = 0, Next[l] = son[y], son[y] = l; } int get(int x) { return f[x] == x ? x : f[x] = get(f[x]); } bool build() { int h = 0, t = 1; memset(d, -1, sizeof(d)), d[f[1] = S] = 0; while (h < t) { int x = f[++h]; for (int y, p = son[x]; p; p = Next[p]) if (data[p]) { if (d[y = ed[p]] < 0) d[y] = d[x] + 1, f[++t] = y; if (y == T) return 1; } } return 0; } int dinic(int x, int low) { if (x == T) return low; int w = 0, res; for (int y, p = son[x]; p; p = Next[p]) if (data[p] && d[y = ed[p]] == d[x] + 1) if (res = dinic(y, min(low - w, data[p]))) data[p] -= res, data[p ^ 1] += res, w += res; if (!w) d[x] = -1; return w; } int work() { int Z = n, ans = 0; memset(son, 0, sizeof(son)), l = 1; for (int i = 1; i <= n; ++i) add(S, i * 2, 1), add(i * 2 + 1, T, c[i]), f[i] = i; for (int i = 1; i <= n - 1; ++i) { int X = get(x[p[i]]), Y = get(y[p[i]]); f[++Z] = Z, xx[i] = X, yy[i] = Y; f[X] = Z, f[Y] = Z; add(X * 2, Z * 2, inf), add(Y * 2, Z * 2, inf); add(Z * 2 + 1, X * 2 + 1, inf), add(Z * 2 + 1, Y * 2 + 1, inf); } for (int i = n - 1; i; --i) { int X = xx[i], Y = yy[i]; add(X * 2, Y * 2 + 1, inf), add(Y * 2, X * 2 + 1, inf); while (build()) ans += dinic(S, inf); if (ans == n) return z[p[i]]; } } int main() { n = read(); if (n == 1) { printf("%d\n", 0); return 0; } for (int i = 1; i <= n - 1; ++i) x[i] = read(), y[i] = read(), z[i] = read(), p[i] = i; for (int i = 1; i <= n; ++i) c[i] = read(); sort(p + 1, p + n, cmp); printf("%d\n", work()); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3005; int n, x[N], f[N], sz[N], v[N]; inline int getf(int v) { return f[v] == v ? v : f[v] = getf(f[v]); } struct Edge { int u, v, w; } e[N]; int main() { ios::sync_with_stdio(false); cin >> n; for (int i = 1; i < n; i++) cin >> e[i].u >> e[i].v >> e[i].w; sort(e + 1, e + n, [](Edge a, Edge b) { return a.w < b.w; }); int sum = 0; for (int i = 1; i <= n; i++) cin >> x[i], sum += x[i]; for (int i = 1; i <= n; i++) f[i] = i, sz[i] = 1, v[i] = x[i]; for (int i = 1; i < n; i++) { int fx = getf(e[i].u), fy = getf(e[i].v); f[fx] = fy; sz[fy] += sz[fx]; v[fy] += v[fx]; if (sz[fy] > sum - v[fy]) { cout << e[i].w << endl; return 0; } } cout << e[n - 1].w << endl; return 0; }
#include <bits/stdc++.h> using namespace std; inline long long mod(long long n, long long m) { long long ret = n % m; if (ret < 0) ret += m; return ret; } long long gcd(long long a, long long b) { return (b == 0LL ? a : gcd(b, a % b)); } long long exp(long long a, long long b, long long m) { if (b == 0LL) return 1LL; if (b == 1LL) return mod(a, m); long long k = mod(exp(a, b / 2, m), m); if (b & 1LL) { return mod(a * mod(k * k, m), m); } else return mod(k * k, m); } struct dsu { vector<long long> p, ps; dsu() {} dsu(long long n) { p = vector<long long>(n + 1), ps = vector<long long>(n + 1, 1); for (long long i = 0; i < (n + 1); ++i) p[i] = i; } long long find(long long x) { return p[x] == x ? x : p[x] = find(p[x]); } bool join(long long x, long long y) { x = find(x), y = find(y); if (x == y) return 0; if (ps[x] > ps[y]) swap(x, y); p[x] = y, ps[y] += ps[x]; return 1; } }; const long long N = 3030; long long a[N], b[N], c[N]; long long x[N]; long long n; long long pai[N]; long long sumx[N]; long long sz[N]; long long f(long long x) { return pai[x] = (pai[x] == x ? x : f(pai[x])); } void join(long long a, long long b) { a = f(a), b = f(b); if (f(a) == f(b)) return; pai[b] = a; sumx[a] += sumx[b]; sz[a] += sz[b]; return; } bool ok(long long mid) { long long tot = 0; for (long long i = 1; i <= n; i++) { pai[i] = i; sz[i] = 1; sumx[i] = x[i]; tot += x[i]; } for (long long i = 1; i < n; i++) { if (c[i] < mid) { join(a[i], b[i]); } } long long flow = 1e9; for (long long i = 1; i <= n; i++) { if (f(i) != i) continue; flow = min(flow, tot + n - sz[f(i)] - sumx[f(i)]); } return flow >= n; } int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); ; cin >> n; for (long long i = 1; i < n; i++) { cin >> a[i] >> b[i] >> c[i]; } for (long long i = 1; i <= n; i++) cin >> x[i]; long long l = 1, r = 100000; long long ans = 0; while (l <= r) { long long mid = (l + r) / 2; if (ok(mid)) { ans = mid; l = mid + 1; } else r = mid - 1; } cout << ans << "\n"; }
#include <bits/stdc++.h> using namespace std; template <class T> void debug(T a, T b) { ; } template <class T> void chmin(T& a, const T& b) { if (a > b) a = b; } template <class T> void chmax(T& a, const T& b) { if (a < b) a = b; } namespace std { template <class S, class T> ostream& operator<<(ostream& out, const pair<S, T>& a) { out << '(' << a.first << ',' << a.second << ')'; return out; } } // namespace std int n; pair<int, pair<int, int> > es[3005]; vector<pair<int, int> > g[3005]; int x[3005]; struct uf { static const int MSIZE = 3005; int par[MSIZE]; int size[MSIZE]; int cap[MSIZE]; void init() { memset(par, -1, sizeof(par)); for (int i = 0; i < (MSIZE); ++i) { size[i] = 1; cap[i] = x[i]; } } int root(int a) { if (par[a] == -1) return a; return par[a] = root(par[a]); } void unite(int a, int b) { a = root(a); b = root(b); if (a == b) return; if (size[a] < size[b]) swap(a, b); par[b] = a; size[a] += size[b]; cap[a] += cap[b]; } bool same(int a, int b) { return root(a) == root(b); } }; uf u; bool check(int w) { u.init(); for (int i = 0; i < (n); ++i) if (es[i].first < w) { u.unite(es[i].second.first, es[i].second.second); } vector<pair<int, int> > trees; for (int i = 0; i < (n); ++i) if (u.root(i) == i) { trees.push_back(make_pair(u.size[i], u.cap[i])); } sort((trees).begin(), (trees).end()); reverse((trees).begin(), (trees).end()); ; ; ; ; ; ; if (trees[0].first * 2 > n) { int othersum = 0; for (int i = (1); i < (trees.size()); ++i) othersum += trees[i].second; if (othersum >= trees[0].first) return true; return false; } else return true; } int main() { cin >> n; for (int i = 0; i < (n - 1); ++i) { int a, b, c; cin >> a >> b >> c; --a; --b; g[a].push_back(make_pair(b, c)); g[b].push_back(make_pair(a, c)); es[i] = make_pair(c, make_pair(a, b)); } for (int i = 0; i < (n); ++i) cin >> x[i]; int lb = 0, ub = 10005; while (ub - lb > 1) { int md = (lb + ub) >> 1; if (check(md)) lb = md; else ub = md; } cout << lb << endl; return 0; }
#include <bits/stdc++.h> using std::sort; using std::vector; int boss[3000]; int w[3000]; int c[3000]; struct Edge { int u, v, w; } E[3000]; bool ecmp(Edge x, Edge y) { return x.w < y.w; } int find(int x) { if (boss[x] != x) boss[x] = find(boss[x]); return boss[x]; } int main() { int n; scanf("%d", &n); for (int i = 0; i < n - 1; ++i) { int tu, tv, tw; scanf("%d%d%d", &tu, &tv, &tw); Edge tmp = (Edge){tu - 1, tv - 1, tw}; E[i] = tmp; } sort(E, E + n - 1, ecmp); int ans = E[0].w; for (int i = 0; i < n; ++i) boss[i] = i; int sum = 0; for (int i = 0; i < n; ++i) { scanf("%d", &w[i]); sum += w[i]; c[i] = 1; } for (int i = 0; i < n - 1; ++i) { int bu = find(E[i].u); int bv = find(E[i].v); boss[bv] = bu; w[bu] += w[bv]; c[bu] += c[bv]; if (c[bu] > sum - w[bu]) break; else ans = E[i + 1].w; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, f = 1; char ch = getchar(); for (; !isdigit(ch); ch = getchar()) if (ch == '-') f = -1; for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0'; return x * f; } const int N = 3005; int siz[N], fa[N], a[N], sum, Flag = 1; struct Edge { int u, v, w; } e[10005]; bool operator<(const Edge &A, const Edge &B) { return A.w < B.w; } int find(int x) { return x == fa[x] ? x : fa[x] = find(fa[x]); } void Merge(int x, int y) { x = find(x), y = find(y); siz[x] += siz[y]; fa[y] = x; a[x] += a[y]; if (siz[x] > sum - a[x]) Flag = 0; } int main() { int n = read(); for (int i = 1; i < n; ++i) e[i].u = read(), e[i].v = read(), e[i].w = read(); sort(e + 1, e + n); for (int i = 1; i <= n; ++i) a[i] = read(), sum += a[i], fa[i] = i, siz[i] = 1; int ans = 0; for (int i = 1; i < n; ++i) { if (Flag) ans = e[i].w; Merge(e[i].u, e[i].v); } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> T abs(T x) { return x > 0 ? x : -x; } int n; int m; int p[10000]; int x[10000]; int y[10000]; int w[10000]; pair<int, pair<int, int> > v[10000]; int gp(int x) { if (p[x] == x) return x; return p[x] = gp(p[x]); } int can(int h) { for (int i = 0; i < n; i++) { p[i] = i; x[i] = 1; y[i] = w[i]; } for (int i = 0; i < h; i++) { int a = gp(v[i].second.first); int b = gp(v[i].second.second); if (a != b) { p[a] = b; x[b] += x[a]; y[b] += y[a]; } } int sx = 0, sy = 0; vector<pair<int, int> > u; for (int i = 0; i < n; i++) if (p[i] == i) { u.push_back(make_pair(x[i], y[i])); sx += x[i]; sy += y[i]; } for (int i = 0; i < ((int)(u).size()); i++) if (u[i].first > sy - u[i].second) return 0; return 1; } int main() { scanf("%d", &n); for (int i = 0; i + 1 < n; i++) { int a, b, c; scanf("%d%d%d", &a, &b, &c); a--; b--; v[i] = make_pair(c, make_pair(a, b)); } for (int i = 0; i < n; i++) scanf("%d", &w[i]); sort(v, v + n - 1); int l = 0, r = n; while (r - l > 1) { int s = (l + r) / 2; if (can(s)) l = s; else r = s; } printf("%d\n", v[l].first); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100 * 1000 + 100; const int oo = 1000 * 1000 * 1000; int n; vector<pair<int, int> > adj[maxn]; int x[maxn]; bool mark[maxn]; vector<pair<int, int> > sz; long long cnt1, cnt2; int bin(int f, int e); bool chk(int m); void dfs(int v, int m); int main() { ios ::sync_with_stdio(false); cin.tie(0); cin >> n; for (int i = 0; i < n - 1; i++) { int u, v, w; cin >> u >> v >> w; u--, v--; adj[u].push_back(pair<int, int>(w, v)); adj[v].push_back(pair<int, int>(w, u)); } for (int i = 0; i < n; i++) cin >> x[i]; int ans = bin(0, oo); cout << ans << '\n'; return 0; } int bin(int f, int e) { if (e - f < 2) return f; int mid = (f + e) / 2; if (chk(mid)) return bin(mid, e); return bin(f, mid); } bool chk(int m) { fill(mark, mark + n, false); sz.resize(0); for (int i = 0; i < n; i++) if (!mark[i]) { cnt1 = 0, cnt2 = 0; dfs(i, m); sz.push_back(pair<int, int>(cnt1, cnt2)); } long long sum = 0; for (int i = 0; i < sz.size(); i++) sum += sz[i].second; for (int i = 0; i < sz.size(); i++) if (sum - sz[i].second < sz[i].first) return false; return true; } void dfs(int v, int m) { mark[v] = true; cnt1++, cnt2 += x[v]; for (pair<int, int> u : adj[v]) if (!mark[u.second] && u.first < m) dfs(u.second, m); }
#include <bits/stdc++.h> using namespace std; const long long MXN = 3e3 + 10; const long long MXM = 5e2 + 10; const long long MX5 = 1e5 + 10; const long long MX6 = 1e6 + 10; const long long LOG = 20; const long long INF = 8e18; const double eps = 1e-9; const long long MOD = 1e9 + 7; long long power(long long a, long long b, long long md) { return (!b ? 1 : (b & 1 ? a * power(a * a % md, b / 2, md) % md : power(a * a % md, b / 2, md) % md)); } long long bmm(long long a, long long b) { return (a % b == 0 ? b : bmm(b, a % b)); } string base2(long long n) { string a = ""; while (n >= 2) { a += (char)(n % 2 + '0'); n /= 2; } a += (char)(n + '0'); reverse((a).begin(), (a).end()); return a; } long long n, m, Sum, X[MXN]; long long par[MXN], SZ[MXN], dp[MXN]; vector<long long> G[MXN], vec; vector<pair<long long, pair<long long, long long> > > E; bool vis[MXN], mark[MXN]; set<long long> M; void init() { vec.clear(); M.clear(); for (int i = 1; i <= n; i++) { SZ[i] = 1; par[i] = i; vis[i] = 0; mark[i] = 0; dp[i] = X[i]; G[i].clear(); M.insert(i); } return; } long long Find(long long u) { if (par[u] == u) { return u; } par[u] = Find(par[u]); return par[u]; } void Union(long long u, long long v) { long long p1 = Find(u), p2 = Find(v); if (p1 == p2) { return; } if (SZ[p1] > SZ[p2]) { par[p2] = p1; SZ[p1] += SZ[p2]; dp[p1] += dp[p2]; M.erase(p2); } else { par[p1] = p2; SZ[p2] += SZ[p1]; dp[p2] += dp[p1]; M.erase(p1); } return; } bool DFS1(long long u) { bool f = 1; mark[u] = 1; if (Sum - dp[u] < SZ[u]) return 0; for (auto v : G[u]) { if (!mark[v]) { if (DFS1(v) == 0) return 0; } } return f; } void DFS(long long u) { vis[u] = 1; Sum += dp[u]; for (auto v : G[u]) { if (!vis[v]) { DFS(v); } } return; } bool check(long long x) { init(); long long i = 0; while (i < m && E[i].first < x) { long long u = E[i].second.first, v = E[i].second.second; Union(u, v); i++; } while (i < m) { long long u = E[i].second.first, v = E[i].second.second; long long p1 = Find(u), p2 = Find(v); G[p1].push_back(p2); G[p2].push_back(p1); i++; } auto itr = M.begin(); while (itr != M.end()) { long long now = *itr; if (G[now].empty()) return 0; vec.push_back(now); itr++; } for (auto u : vec) { if (!vis[u]) { Sum = 0; DFS(u); bool f = DFS1(u); if (!f) return 0; } } return 1; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n; m = n - 1; for (int i = 0; i < m; i++) { long long u, v, w; cin >> u >> v >> w; E.push_back({w, {u, v}}); } for (int i = 1; i <= n; i++) cin >> X[i]; sort(((E)).begin(), ((E)).end()); long long l = 0, r = 1e5; while (r - l > 1) { long long mid = (l + r) / 2; if (check(mid)) { l = mid; } else { r = mid; } } cout << l; return 0; }
#include <bits/stdc++.h> using namespace std; template <class T, class U> inline void smin(T &a, U b) { if (a > b) a = b; } template <class T, class U> inline void smax(T &a, U b) { if (a < b) a = b; } template <class T> inline void gn(T &x) { char c, sg = 0; while (c = getchar(), (c > '9' || c < '0') && c != '-' && c != -1) ; if (c == -1) return; if (c == '-') sg = 1, c = getchar(); for (x = 0; c >= '0' && c <= '9'; x = (x << 1) + (x << 3) + c - '0', c = getchar()) ; if (sg) x = -x; } template <class T> void print(T x) { if (x < 0) return putchar('-'), print(-x); if (x < 10) { putchar(x + '0'); return; } print(x / 10); putchar(x % 10 + '0'); } template <class U, class V> inline void gn(U &u, V &v) { gn(u); gn(v); } template <class U, class V, class W> inline void gn(U &u, V &v, W &w) { gn(u); gn(v, w); } template <class T> void println(T x) { print(x); putchar('\n'); } template <class T> void printsp(T x) { print(x); putchar(' '); } template <class U, class V> inline void print(U u, V v) { printsp(u); println(v); } template <class U, class V, class W> inline void print(U u, V v, W w) { printsp(u); print(v, w); } int power(int a, int b, int m, int ans = 1) { for (; b; a = (long long)a * a % m, b >>= 1) if (b & 1) ans = (long long)ans * a % m; return ans; } pair<pair<int, int>, int> edge[3333]; int a[3333], tmp[3333], root[3333], sz[3333]; void init(int n) { for (int i = 1; i <= n; i++) root[i] = i, sz[i] = 1, tmp[i] = a[i]; } int find(int first) { while (first != root[first]) first = root[first]; return first; } void unite(int a, int b) { a = find(a); b = find(b); if (a == b) return; if (sz[a] < sz[b]) swap(a, b); sz[a] += sz[b]; root[b] = a; tmp[a] += tmp[b]; } int main() { int n; gn(n); for (int i = 0; i < n - 1; i++) { gn(edge[i].first.first, edge[i].first.second, edge[i].second); } int sum = 0; for (int i = 1; i <= n; i++) { gn(a[i]); sum += a[i]; } int st = 0, ed = 10001; while (ed - st > 1) { int md = (ed + st) / 2; init(n); for (int i = 0; i < n - 1; i++) { if (edge[i].second < md) { unite(edge[i].first.first, edge[i].first.second); } } int vst = 0; for (int i = 1; i <= n; i++) if (i == find(i)) { if (sz[i] > sum - tmp[i]) { vst = 1; break; } } if (vst) ed = md; else st = md; } println(st); return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> T sqr(T x) { return x * x; } const int maxn = 40001; pair<int, pair<int, int> > edge[maxn]; int sz[maxn], f[maxn]; int lim[maxn]; int n; int find(int k) { if (f[k] != k) f[k] = find(f[k]); return f[k]; } int main() { scanf("%d", &n); if (n == 1) { puts("0"); return 0; } for (int i = 1; i <= n - 1; i++) scanf("%d%d%d", &edge[i].second.first, &edge[i].second.second, &edge[i].first); sort(edge + 1, edge + n); int sum = 0; for (int i = 1; i <= n; i++) { scanf("%d", &lim[i]); f[i] = i; sz[i] = 1; sum += lim[i]; } int ans = edge[1].first; int mx = 1; for (int i = 1; i < n; i++) { int j; for (j = i; j < n && edge[i].first == edge[j].first; j++) { int fx = find(edge[j].second.first); int fy = find(edge[j].second.second); f[fx] = fy; sz[fy] += sz[fx]; lim[fy] += lim[fx]; if (sz[mx] < sz[fy]) mx = fy; } if (j < n && sum - lim[mx] >= sz[mx]) ans = edge[j].first; i = j - 1; } cout << ans << endl; }
#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; } inline void getint(int &first) { char c; while (c = getchar(), c > '9' || c < '0') ; for (first = 0; c >= '0' && c <= '9'; c = getchar()) first = (first << 1) + (first << 3) + c - '0'; } inline void print(int first) { if (first < 10) { putchar('0' + first); return; } print(first / 10); putchar(first % 10 + '0'); } 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; } pair<pair<int, int>, int> edge[3333]; int root[3333], cnt[3333], ss[3333], a[3333]; void init(int n) { for (int i = 1; i <= n; i++) root[i] = i, cnt[i] = 1, ss[i] = a[i]; } int find_root(int u) { return u == root[u] ? u : root[u] = find_root(root[u]); } void join(int u, int v) { u = find_root(u); v = find_root(v); if (u == v) return; if (cnt[u] < cnt[v]) swap(u, v); root[v] = u; cnt[u] += cnt[v]; ss[u] += ss[v]; } int main() { int n; cin >> n; for (int i = 0; i < n - 1; i++) { scanf("%d %d %d", &edge[i].first.first, &edge[i].first.second, &edge[i].second); } int sum = 0; for (int i = 1; i <= n; i++) scanf("%d", a + i), sum += a[i]; int st = 0, ed = 10001, mid; while (ed - st > 1) { mid = st + ed >> 1; init(n); for (int i = 0; i < n - 1; i++) { if (edge[i].second < mid) join(edge[i].first.first, edge[i].first.second); } int ok = 1; for (int i = 1; i <= n && ok; i++) if (find_root(i) == i) { if (cnt[i] > sum - ss[i]) ok = 0; } if (ok) st = mid; else ed = mid; } cout << st << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #pragma GCC optimize("Ofast") const long long int maxn = 3e3 + 16, md = 1e9 + 7, inf = 2e16; long long int gcd(long long int a, long long int b) { if (a < b) swap(a, b); if (b == 0) return a; return gcd(b, a % b); } long long int tav(long long int n, long long int k) { long long int res = 1; while (k > 0) { if (k & 1) { res *= n; res %= md; } n *= n; n %= md; k >>= 1; } return res; } long long int ds[maxn], dsz[maxn], dsl[maxn]; long long int dsu(long long int v) { return (ds[v] == v ? v : ds[v] = dsu(ds[v])); } void merge(long long int v, long long int u) { v = dsu(v); u = dsu(u); dsz[v] += dsz[u]; dsl[v] += dsl[u]; ds[u] = v; return; } long long int n, lm[maxn], sum = 0; vector<pair<long long int, pair<long long int, long long int> > > ed; bool check(long long int x) { for (long long int i = 0; i < n; i++) { ds[i] = i; dsz[i] = 1; dsl[i] = lm[i]; } for (auto q : ed) { pair<long long int, long long int> p = q.second; long long int v = p.first, u = p.second, w = q.first; if (w >= x) break; merge(v, u); } for (long long int i = 0; i < n; i++) { if (sum - dsl[i] < dsz[i]) return false; } return true; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n; for (long long int i = 1; i < n; i++) { long long int v, u, w; cin >> v >> u >> w; v--; u--; ed.push_back({w, {v, u}}); } sort(ed.begin(), ed.end()); for (long long int i = 0; i < n; i++) { cin >> lm[i]; sum += lm[i]; } long long int l = 0, r = 1e4 + 16; while (l < r - 1) { long long int m = (r + l) >> 1; if (check(m)) { l = m; } else { r = m; } } cout << l << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const double eps(1e-8); const double pi(3.14159265358979); const int N = 3030; struct edge { int u, v, l; } e[N] = {}; bool edge_cmp(const edge &e1, const edge &e2) { return e1.l < e2.l; } int n, root[N] = {}, s1[N] = {}, s2[N] = {}, sum1 = 0, sum2 = 0; int get_root(int r) { if (r != root[r]) root[r] = get_root(root[r]); return root[r]; } void print_root() { for (int i = 1; i <= n; ++i) get_root(i); for (int i = 1; i <= n; ++i) cout << root[i] << ' '; cout << endl; for (int i = 1; i <= n; ++i) cout << s1[i] << ' '; cout << endl; for (int i = 1; i <= n; ++i) cout << s2[i] << ' '; cout << endl; } void init() { scanf("%d", &n); for (int i = 1; i < n; ++i) scanf("%d%d%d", &e[i].u, &e[i].v, &e[i].l); sort(e + 1, e + n, edge_cmp); for (int i = 1; i <= n; ++i) root[i] = i, s1[i] = 1, scanf("%d", &s2[i]); sum1 = n; sum2 = accumulate(s2 + 1, s2 + n + 1, 0); } void work() { int i = 0; for (i = 1; i < n; ++i) { int u = get_root(e[i].u), v = get_root(e[i].v); root[v] = u; s1[u] += s1[v]; s2[u] += s2[v]; if (s1[u] > sum2 - s2[u]) break; } cout << e[i].l << endl; } int main() { init(); work(); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 3e3 + 20; int x[maxn], from[maxn], to[maxn], w[maxn], n, sx, weight, totalx, tver; vector<int> adj[maxn]; bool visited[maxn]; void dfs(int v) { totalx += x[v]; tver++; visited[v] = 1; for (auto e : adj[v]) { if (w[e] >= weight) continue; int u = from[e] + to[e] - v; if (!visited[u]) dfs(u); } } bool check(int x) { weight = x; memset(visited, 0, sizeof visited); for (int i = 1; i <= n; i++) if (!visited[i]) { totalx = 0; tver = 0; dfs(i); if (sx - totalx < tver) return 0; } return 1; } int main() { cin >> n; for (int i = 0; i < n - 1; i++) { cin >> from[i] >> to[i] >> w[i]; adj[from[i]].push_back(i); adj[to[i]].push_back(i); } for (int i = 1; i <= n; i++) cin >> x[i], sx += x[i]; int l = 0, r = 1e4 + 20; while (r - l > 1) { int m = (r + l) / 2; if (check(m)) l = m; else r = m; } cout << l << endl; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 5; int n; struct edge { int u, v, w; } e[N]; int fa[N], siz[N], x[N], s; inline int findf(int x) { return fa[x] == x ? x : fa[x] = findf(fa[x]); } inline bool cmp(const edge& a, const edge& b) { return a.w < b.w; } int main() { scanf("%d", &n); for (int i = 1; i < n; i++) scanf("%d%d%d", &e[i].u, &e[i].v, &e[i].w); for (int i = 1; i <= n; i++) scanf("%d", &x[i]), fa[i] = i, siz[i] = 1, s += x[i]; sort(e + 1, e + n, cmp); for (int i = 1; i < n; i++) { int fx = findf(e[i].u), fy = findf(e[i].v); if (fx == fy) continue; fa[fx] = fy, siz[fy] += siz[fx], x[fy] += x[fx]; if (siz[fy] > s - x[fy]) { printf("%d", e[i].w); return 0; } } printf("%d", e[n - 1].w); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3005; int n, x[N], f[N], sz[N], v[N]; inline int getf(int v) { return f[v] == v ? v : f[v] = getf(f[v]); } struct Edge { int u, v, w; } e[N]; int main() { ios::sync_with_stdio(false); cin >> n; for (int i = 1; i < n; i++) cin >> e[i].u >> e[i].v >> e[i].w; sort(e + 1, e + n, [](Edge a, Edge b) { return a.w < b.w; }); int sum = 0; for (int i = 1; i <= n; i++) cin >> x[i], sum += x[i]; for (int i = 1; i <= n; i++) f[i] = i, sz[i] = 1, v[i] = x[i]; for (int i = 1; i < n; i++) { int fx = getf(e[i].u), fy = getf(e[i].v); f[fx] = fy; sz[fy] += sz[fx]; v[fy] += v[fx]; if (sz[fy] > sum - v[fy]) { cout << e[i].w << endl; return 0; } } cout << e[n - 1].w << endl; return 0; }
#include <bits/stdc++.h> using namespace std; void RI() {} template <typename... T> void RI(int& head, T&... tail) { scanf("%d", &head); RI(tail...); } inline int min(int a, int b) { return a < b ? a : b; } struct Maxflow { static const short INF = 2e4; struct E { short to, cap, rev; E() {} E(short _to, short _cap, short _rev) : to(_to), cap(_cap), rev(_rev) {} }; int n; vector<vector<E> > e; vector<vector<E>::iterator> cur; vector<short> dis; void init(int _n) { n = _n; e.resize(n); cur.resize(n); dis.resize(n); for (int i = 0; i < int(n); i++) e[i].clear(); } void add(int a, int b, int c) { if (a == b) return; e[a].push_back(E(b, c, e[b].size())); e[b].push_back(E(a, 0, e[a].size() - 1)); } bool bfs() { fill(dis.begin(), dis.end(), -1); queue<int> q; dis[0] = 0; q.push(0); while (!q.empty() && dis[n - 1] == -1) { int p = q.front(); q.pop(); for (auto it = (e[p]).begin(); it != (e[p]).end(); it++) { if (it->cap == 0 || dis[it->to] != -1) continue; dis[it->to] = dis[p] + 1; q.push(it->to); } } return dis[n - 1] != -1; } short go(int p, short c) { if (p == n - 1) return c; short ret = 0; for (auto& it = cur[p]; it != e[p].end(); it++) { if (it->cap == 0 || dis[it->to] != dis[p] + 1) continue; short now = go(it->to, min(it->cap, c - ret)); ret += now; it->cap -= now; e[it->to][it->rev].cap += now; if (ret == c) break; } if (ret == 0) dis[p] = -1; return ret; } int maxflow() { int ret = 0; while (bfs()) { for (int i = 0; i < int(n); i++) cur[i] = e[i].begin(); ret += go(0, INF); } return ret; } } flow; int n, ea[3010], eb[3010], ec[3010], ub[3010]; vector<int> e[3010]; short dis[3010][3010]; bool vis[3010]; void dfs(int st, int p, int d, short _dis[3010]) { _dis[p] = d; for (auto it = (e[p]).begin(); it != (e[p]).end(); it++) { int to = ea[*it] ^ eb[*it] ^ p; if (!vis[to]) { vis[to] = 1; dfs(st, to, max(d, ec[*it]), _dis); } } } bool chk(int m) { flow.init(2 * n + 2); for (int i = (1); i <= int(n); i++) flow.add(0, i, 1); for (int i = (1); i <= int(n); i++) for (int j = (1); j <= int(n); j++) if (dis[i][j] >= m) flow.add(i, j + n, 1); for (int i = (1); i <= int(n); i++) flow.add(i + n, n + n + 1, ub[i]); return flow.maxflow() == n; } int main() { RI(n); for (int i = 0; i < int(n - 1); i++) { RI(ea[i], eb[i], ec[i]); e[ea[i]].push_back(i); e[eb[i]].push_back(i); } for (int i = (1); i <= int(n); i++) RI(ub[i]); for (int i = (1); i <= int(n); i++) { memset(vis, 0, sizeof(vis)); dfs(i, i, 0, dis[i]); } int l = 0, r = 10000; while (l != r) { int m = (l + r + 1) / 2; if (chk(m)) l = m; else r = m - 1; } printf("%d\n", l); return 0; }
#include <bits/stdc++.h> using namespace std; vector<pair<int, int> > G[3000]; int x[3000]; int n; bool mark[3000]; pair<int, int> operator+(pair<int, int> a, pair<int, int> b) { return make_pair(a.first + b.first, a.second + b.second); } pair<int, int> dfs(int v, int d) { if (mark[v]) return make_pair(0, 0); pair<int, int> as(1, x[v]); mark[v] = true; for (int i = 0; i < G[v].size(); i++) if (G[v][i].second < d) as = as + dfs(G[v][i].first, d); return as; } bool check(int l) { vector<pair<int, int> > vv; memset(mark, 0, sizeof mark); for (int i = 0; i < n; i++) { pair<int, int> p = dfs(i, l); if (p != make_pair(0, 0)) vv.push_back(p); } int sm = 0; for (int i = 0; i < vv.size(); i++) sm += vv[i].second; for (int i = 0; i < vv.size(); i++) { if (sm - vv[i].second < vv[i].first) { return false; } } return true; } int main() { ios_base::sync_with_stdio(false); cin >> n; for (int i = 0; i < n - 1; i++) { int a, b, c; cin >> a >> b >> c; a--; b--; G[a].push_back(make_pair(b, c)); G[b].push_back(make_pair(a, c)); } for (int i = 0; i < n; i++) cin >> x[i]; int l = 0, r = 100000; while (l + 1 < r) { int m = (l + r) / 2; if (check(m)) l = m; else r = m; } cout << l << endl; }
#include <bits/stdc++.h> using namespace std; template <class T> inline void umax(T &x, T y) { if (y > x) x = y; } template <class T> inline void umin(T &x, T y) { if (y < x) x = y; } const int N = 2e5 + 5, B = 0x7fffffff; pair<int, pair<int, int> > edge[N]; int cap[N], siz[N], root[N]; int n; int pq; int ans; int finds(int x) { if (root[x] == x) return x; return root[x] = finds(root[x]); } int main() { scanf("%d", &n); for (int i = 1; i < n; i++) scanf("%d %d %d", &edge[i].second.first, &edge[i].second.second, &edge[i].first); for (int i = 1; i <= n; i++) { scanf("%d", &cap[i]); siz[i] = 1; root[i] = i; pq += cap[i]; } sort(edge + 1, edge + n); for (int i = 1; i <= n; i++) { int x = finds(edge[i].second.first); int y = finds(edge[i].second.second); siz[x] += siz[y]; cap[x] += cap[y]; root[y] = root[x]; if (edge[i].first == edge[i + 1].first) continue; if (siz[x] > pq - cap[x]) { ans = i; break; } } printf("%d\n", max(0, edge[ans].first)); return !!0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 100; int gi() { char c; int w; bool q = true; while (((c = getchar()) < '0' || '9' < c) && c != '-') ; if (c == '-') q = false, w = 0; else w = c - '0'; while ('0' <= (c = getchar()) && c <= '9') w = (w << 1) + (w << 3) + c - '0'; return q ? w : -w; } struct E { int u, v, w; inline void in() { u = gi(); v = gi(); w = gi(); } bool operator<(const E &b) const { return w < b.w; } } e[N]; int fa[N]; inline int find(int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); } int siz[N], in[N]; int main() { int n = gi(), i, a, b, all = 0; for (i = 1; i < n; i++) e[i].in(); for (i = 1; i <= n; i++) siz[i] = 1, all += in[fa[i] = i] = gi(); sort(e + 1, e + n); for (i = 1; i < n; i++) { a = find(e[i].u), b = find(e[i].v); siz[a] += siz[b], in[a] += in[b], fa[b] = a; if (all - in[a] < siz[a]) break; } printf("%d\n", e[i].w); }
#include <bits/stdc++.h> const int oo = 0x3f3f3f3f; template <typename T> inline bool chkmax(T &a, T b) { return a < b ? a = b, true : false; } template <typename T> inline bool chkmin(T &a, T b) { return a > b ? a = b, true : false; } template <typename T> T read(T &x) { int f = 1; char ch = getchar(); for (; !isdigit(ch); ch = getchar()) if (ch == '-') f = -1; for (x = 0; isdigit(ch); ch = getchar()) x = 10 * x + ch - '0'; return x *= f; } const int MAXN = 3005; struct Edge { int u, v; int w; bool operator<(const Edge &rhs) const { return w < rhs.w; } }; int N, M; int first[MAXN]; Edge E[MAXN]; int fa[MAXN]; int size[MAXN]; int sumx[MAXN]; int glbsumx; int getFather(int u) { return fa[u] == u ? u : fa[u] = getFather(fa[u]); } void input() { read(N); M = N - 1; for (int i = 0; i < M; ++i) { read(E[i].u); read(E[i].v); read(E[i].w); } for (int i = 1; i <= N; ++i) { read(first[i]); glbsumx += first[i]; } } void solve() { memcpy(sumx + 1, first + 1, N * sizeof(*sumx)); for (int i = 1; i <= N; ++i) { fa[i] = i; size[i] = 1; } std::sort(E, E + M); int i; for (i = 0; i < M; ++i) { int fu = getFather(E[i].u); int fv = getFather(E[i].v); assert(fu != fv); fa[fu] = fv; size[fv] += size[fu]; sumx[fv] += sumx[fu]; if (size[fv] > glbsumx - sumx[fv]) break; } printf("%d\n", E[i].w); } int main() { input(); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3050; struct node { int x, y, c; } E[N]; bool cmp(node x, node y) { return x.c < y.c; } int fa[N], s[N], x[N]; int getf(int v) { if (v == fa[v]) return v; return fa[v] = getf(fa[v]); } int main() { int n; scanf("%d", &n); for (int i = 1; i < n; i++) scanf("%d%d%d", &E[i].x, &E[i].y, &E[i].c); sort(E + 1, E + n, cmp); int sum = 0; for (int i = 1; i <= n; i++) { scanf("%d", &x[i]); sum += x[i]; fa[i] = i; s[i] = 1; } for (int i = 1; i < n; i++) { int u = getf(E[i].x), v = getf(E[i].y); fa[u] = v; s[v] += s[u]; x[v] += x[u]; if (s[v] > sum - x[v]) { printf("%d\n", E[i].c); return 0; } } printf("0"); }
#include <bits/stdc++.h> using namespace std; const int NR = 3005; int n; int sum; struct Nd { int x, y, val; bool operator<(const Nd& A) const { return val < A.val; } } t[NR]; int fa[NR], siz[NR], d[NR]; int find(int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); } 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; } int main() { n = read(); for (int i = 1; i <= n; i++) siz[i] = 1, fa[i] = i; for (int i = 1; i < n; i++) t[i].x = read(), t[i].y = read(), t[i].val = read(); for (int i = 1; i <= n; i++) d[i] = read(), sum += d[i]; sort(t + 1, t + n); for (int i = 1; i < n; i++) { int fx = find(t[i].x), fy = find(t[i].y); siz[fx] += siz[fy], d[fx] += d[fy]; fa[fy] = fx; if (siz[fx] > sum - d[fx]) { printf("%d\n", t[i].val); return 0; } } printf("%d\n", t[n - 1].val); return 0; }
#include <bits/stdc++.h> using namespace std; inline int getch() { static const int len = 1 << 20; static char buf[len], *st, *ed; if (st == ed) ed = buf + fread(st = buf, 1, len, stdin); return st == ed ? EOF : *st++; } template <typename T> inline void read(T& x) { static int c; x = 0, c = getch(); while (isspace(c)) c = getch(); while (isdigit(c)) x = x * 10 + c - '0', c = getch(); return; } template <typename T, typename... Args> void read(T& x, Args&... args) { return read(x), read(args...); } const int maxn = 3003; tuple<int, int, int> edge[maxn]; int n, m, u, v, w, f[maxn], s[maxn], x[maxn], cur, sum, ans; int find(int x) { return f[x] == x ? x : f[x] = find(f[x]); } int merge(int p, int q) { p = find(p), q = find(q); if (s[p] > s[q]) return s[p] += s[q], x[p] += x[q], f[q] = p; else return s[q] += s[p], x[q] += x[p], f[p] = q; } int main() { read(n); for (int i = 1; i < n; i++) read(u, v, w), edge[i] = tie(w, u, v); for (int i = 1; i <= n; i++) f[i] = i, s[i] = 1, read(x[i]), sum += x[i]; sort(edge + 1, edge + n); for (int i = 1; i < n; i++) { tie(w, u, v) = edge[i], cur = merge(u, v); if (s[cur] > sum - x[cur]) return printf("%d\n", w), 0; } return printf("%d\n", w), 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3030, M = 1e4 + 100; int n, S, ans, u[N], v[N], w[N], par[N], sz[N], cnt[N]; bool bad; vector<int> vec[M]; int g_par(int v) { return v == par[v] ? v : par[v] = g_par(par[v]); } int main() { ios::sync_with_stdio(false), cin.tie(0); cin >> n; for (int i = 0; i < n - 1; i++) { cin >> u[i] >> v[i] >> w[i]; u[i]--; v[i]--; vec[w[i]].push_back(i); } for (int i = 0; i < n; i++) { cin >> sz[i]; par[i] = i; cnt[i] = 1; S += sz[i]; } for (int w = 0; w < M && bad == false; w++) { ans = w; for (int dex : vec[w]) { int U = g_par(u[dex]), V = g_par(v[dex]); sz[U] += sz[V]; cnt[U] += cnt[V]; par[V] = U; if (S - sz[U] < cnt[U]) bad = true; } } cout << (n == 1 ? 0 : ans); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, f = 1; char ch = getchar(); for (; !isdigit(ch); ch = getchar()) if (ch == '-') f = -1; for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0'; return x * f; } const int N = 1e6 + 10; int siz[N], fa[N], a[N], sum, Flag = 1; struct Edge { int u, v, w; } e[N]; bool operator<(const Edge &A, const Edge &B) { return A.w < B.w; } int find(int x) { return x == fa[x] ? x : fa[x] = find(fa[x]); } void Merge(int x, int y) { x = find(x), y = find(y); siz[x] += siz[y]; fa[y] = x; a[x] += a[y]; if (siz[x] > sum - a[x]) Flag = 0; } int main() { int n = read(); for (int i = 1; i < n; ++i) e[i].u = read(), e[i].v = read(), e[i].w = read(); sort(e + 1, e + n); for (int i = 1; i <= n; ++i) a[i] = read(), sum += a[i], fa[i] = i, siz[i] = 1; int ans = 0; for (int i = 1; i < n; ++i) { if (Flag) ans = e[i].w; Merge(e[i].u, e[i].v); } cout << ans; return 0; }
#include <bits/stdc++.h> const int MAXN = 3000 + 1000; int n, sum; int in[MAXN], out[MAXN]; struct Union_Find_Set { int f[MAXN]; void Init(int N) { for (int i = 1, _ = N; i <= _; i++) f[i] = i; } int Find(int x) { return x == f[x] ? x : f[x] = Find(f[x]); } bool Union(int x, int y) { x = Find(x); y = Find(y); if (x == y) return 0; in[x] += in[y]; out[x] += out[y]; f[y] = x; if (in[x] + out[x] > sum) return 1; return 0; } } t; struct Edge { int u, v, w; Edge() {} Edge(int u, int v, int w) : u(u), v(v), w(w) {} bool operator<(const Edge &a) const { return w < a.w; } } G[MAXN]; void Init() { int u, v, w; scanf("%d", &n); t.Init(n); for (int i = 1, _ = n - 1; i <= _; i++) { scanf("%d%d%d", &u, &v, &w); G[i] = Edge(u, v, w); } for (int i = 1, _ = n; i <= _; i++) { scanf("%d", &out[i]); sum += out[i]; in[i] = 1; } } void Solve() { if (n == 1) { puts("0"); return; } int u, v; std::sort(G + 1, G + n); for (int i = 1, _ = n - 1; i <= _; i++) { if (t.Union(G[i].u, G[i].v)) { printf("%d\n", G[i].w); return; } } } int main() { Init(); Solve(); }
#include <bits/stdc++.h> using namespace std; inline long long read() { long long k = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { k = k * 10 + ch - '0'; ch = getchar(); } return k * f; } inline void write(long long x) { if (x < 0) { putchar('-'); x = -x; } if (x > 9) write(x / 10); putchar(x % 10 + '0'); } inline void writeln(long long x) { write(x); puts(""); } const long long N = 1e5 + 10; long long n, sum = 0; struct ppap { long long x, y, v; } a[N]; inline bool cmp(ppap a, ppap b) { return a.v < b.v; } long long fa[N], s[N], b[N]; inline long long find(long long x) { if (fa[x] == x) return x; return fa[x] = find(fa[x]); } signed main() { n = read(); for (long long i = 1; i < n; i++) { a[i].x = read(); a[i].y = read(); a[i].v = read(); } for (long long i = 1; i <= n; i++) { b[i] = read(); fa[i] = i; s[i] = 1; sum += b[i]; } sort(a + 1, a + n, cmp); long long i = 1; for (; i <= n; i++) { long long fx = find(a[i].x), fy = find(a[i].y); if (fx != fy) { fa[fx] = fy; s[fy] += s[fx]; b[fy] += b[fx]; if (s[fy] > sum - b[fy]) break; } } writeln(a[i].v); return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1000 * 1000 * 1000 + 7; const int INF = 1000 * 1000 * 1000; const long long LINF = (long long)INF * INF; int n, efrom[3030], eto[3030], ew[3030]; int ed[3030]; int bnd[3030]; int dpar[3030]; int cap[3030], sz[3030]; int getroot(int x) { return (dpar[x] == x ? x : dpar[x] = getroot(dpar[x])); } void merge(int x, int y) { x = getroot(x); y = getroot(y); if (x == y) return; sz[y] += sz[x]; cap[y] += cap[x]; dpar[x] = y; } bool check(int mid) { iota(dpar, dpar + 3030, 0); fill(sz, sz + 3030, 1); copy(bnd, bnd + 3030, cap); for (int i = 0; i < n - 1 && ew[ed[i]] < mid; i++) { merge(efrom[ed[i]], eto[ed[i]]); } int capsum = 0; for (int i = (1); i < (n + 1); i++) if (dpar[i] == i) capsum += cap[i]; for (int i = (1); i < (n + 1); i++) if (dpar[i] == i && sz[i] > capsum - cap[i]) return false; return (capsum >= n); } int32_t main(void) { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); ; cin >> n; for (int i = (0); i < (n - 1); i++) { int x, y, w; cin >> x >> y >> w; efrom[i] = x; eto[i] = y; ew[i] = w; ed[i] = i; } for (int i = (1); i < (n + 1); i++) cin >> bnd[i]; sort(ed, ed + n - 1, [&](int x, int y) { return ew[x] < ew[y]; }); int l = 0, r = 1e5; while (r - l > 1) { int mid = (r + l) / 2; if (check(mid)) l = mid; else r = mid; } cout << l << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int n, u, v, w; struct node { int l, r, v; bool operator<(const node& other) const { return v < other.v; } } edge[101000]; struct no { int fa, val, l, r, num, son; } wjr[201000]; int to[201000], cnt; inline int find(int x) { return x == to[x] ? x : to[x] = find(to[x]); } void kruscal() { for (int i = 1; i < n; ++i) { int t1 = find(edge[i].l), t2 = find(edge[i].r); if (t1 != t2) { cnt++; to[t1] = to[t2] = cnt; wjr[cnt].l = t1; wjr[cnt].r = t2; wjr[t1].fa = wjr[t2].fa = cnt; wjr[cnt].val = edge[i].v; wjr[cnt].num = wjr[t1].num + wjr[t2].num; wjr[cnt].son = wjr[t1].son + wjr[t2].son; } } } int fa[201000][24]; inline void dfs(int x, int last) { fa[x][0] = last; for (int i = 1; i <= 20; ++i) { fa[x][i] = fa[fa[x][i - 1]][i - 1]; } if (wjr[x].l) dfs(wjr[x].l, x); if (wjr[x].r) dfs(wjr[x].r, x); } bool f[201000]; int maxn; inline int check(int x) { memset(f, 0, sizeof(f)); for (int i = 1; i <= n; ++i) { int now = i; for (int j = 20; j >= 0; --j) { int nxt = fa[now][j]; if (nxt && wjr[nxt].val < x) { now = fa[now][j]; } } if (!f[now] && now > n) { f[now] = 1; if (wjr[now].son > maxn - wjr[now].num) return 0; } } return 1; } int main() { scanf("%d", &n); for (int i = 1; i < n; ++i) { scanf("%d%d%d", &u, &v, &w); edge[i].l = u; edge[i].r = v; edge[i].v = w; } for (int i = 1; i <= n; ++i) scanf("%d", &wjr[i].num), wjr[i].son = 1, maxn += wjr[i].num; sort(edge + 1, edge + n); for (int i = 1; i <= 2 * n + 5; ++i) to[i] = i; cnt = n; kruscal(); dfs(cnt, 0); int l = 0, r = n, ans = 0; edge[0].v = 0; edge[n].v = edge[n - 1].v + 1000; while (l < r) { int mid = (l + r) >> 1; if (check(edge[mid].v)) { l = mid + 1; ans = edge[mid].v; } else { r = mid; } } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const long long MX = 3009; long long x[MX], par[MX], num[MX], ans = 0; pair<long long, pair<long long, long long> > edg[MX]; void MS(long long v) { par[v] = -1; num[v] = x[v]; } long long FS(long long v) { if (par[v] < 0) return v; return par[v] = FS(par[v]); } void US(long long a, long long b) { a = FS(a), b = FS(b); if (a == b) return; if (par[a] > par[b]) swap(a, b); par[a] += par[b]; par[b] = a; num[a] += num[b]; } int32_t main() { ios::sync_with_stdio(0); cin.tie(0); long long n; cin >> n; for (long long i = 0; i < n - 1; i++) { long long u, v, w; cin >> u >> v >> w; edg[i] = {w, {u, v}}; } for (long long i = 1; i <= n; i++) cin >> x[i]; for (long long i = 1; i <= n; i++) MS(i); sort(edg, edg + n - 1); for (long long i = 0; i < n - 1; i++) { long long u = edg[i].second.first, v = edg[i].second.second, w = edg[i].first; long long maxx = 0, sum = 0, res = 1; for (long long j = 1; j <= n; j++) { if (par[j] < 0) { maxx = max(maxx, -par[j]); sum += num[j]; } } for (long long j = 1; j <= n; j++) { if (par[j] < 0) { if (sum - num[j] < -par[j]) res = 0; } } if (res) ans = w; US(u, v); } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; char xB[1 << 15], *xS = xB, *xT = xB; inline long long read() { long long x = 0; int f = 1; char ch = (xS == xT && (xT = (xS = xB) + fread(xB, 1, 1 << 15, stdin), xS == xT) ? 0 : *xS++); for (; ch < '0' || ch > '9'; f = (ch == '-') ? -1 : 1, ch = (xS == xT && (xT = (xS = xB) + fread(xB, 1, 1 << 15, stdin), xS == xT) ? 0 : *xS++)) ; for (; ch >= '0' && ch <= '9'; x = x * 10 + ch - '0', ch = (xS == xT && (xT = (xS = xB) + fread(xB, 1, 1 << 15, stdin), xS == xT) ? 0 : *xS++)) ; return f * x; } inline void timer() {} const int N = 3000 + 5; int n; int tot; int head[N]; struct edge { int u; int v; int w; bool operator<(const edge &rhs) const { return w < rhs.w; } }; edge e[N]; int x[N]; int siz[N]; int s[N]; int b[N]; int fa[N]; inline int find(int x) { return x == fa[x] ? x : fa[x] = find(fa[x]); } inline bool check() { for (int i = (0); i < (n); ++i) { if (siz[find(i)] > s[find(i)]) { return true; } } return false; } int main() { n = read(); for (int i = (0); i < (n - 1); ++i) { e[i].u = read() - 1; e[i].v = read() - 1; e[i].w = read(); } sort(e, e + n - 1); for (int i = (0); i < (n); ++i) { x[i] = read(); } for (int i = (0); i < (n); ++i) { fa[i] = i; siz[i] = 1; for (int j = (0); j < (n); ++j) { if (i == j) { b[i] = x[i]; continue; } s[i] += x[j]; } } for (int i = (0), fu, fv; i < (n - 1); ++i) { edge p = e[i]; fu = find(p.u); fv = find(p.v); fa[fv] = fu; siz[fu] += siz[fv]; s[fu] -= b[fv]; b[fu] += b[fv]; if (check()) { printf("%d\n", e[i].w); return 0; } } printf("%d\n", e[n - 2].w); return 0; }
#include <bits/stdc++.h> using namespace std; const long double PI = 3.14159265359; const long long MOD = (long long)998244353ll; const long long MAXN = (long long)3e3 + 10; const long long INF = (long long)2242545357980376863; const long double EPS = (long double)1e-8; long long n, par[MAXN], w[MAXN], sz[MAXN], wsz[MAXN]; vector<pair<pair<long long, long long>, long long> > E; long long get_par(long long node) { if (par[node] == node) return node; par[node] = get_par(par[node]); return par[node]; } void merge(long long u, long long v) { u = get_par(u); v = get_par(v); if (u == v) return; par[u] = v; sz[v] += sz[u]; wsz[v] += wsz[u]; return; } vector<pair<long long, long long> > v; bool valid() { long long ind = 0; long long wsum = 0; long long szsum = 0; for (int i = 0; i < v.size(); i++) { if (v[i].first > v[ind].first) { ind = i; } szsum += v[i].first; wsum += v[i].second; } if (2 * v[ind].first <= szsum) return true; if (wsum - v[ind].second >= v[ind].first) return true; return false; } bool check(long long weight) { fill(sz, sz + MAXN, 1); for (int i = 0; i < MAXN; i++) wsz[i] = w[i]; for (int i = 1; i < MAXN; i++) par[i] = i; v.clear(); for (auto edge : E) { if (edge.second < weight) { merge(edge.first.first, edge.first.second); } } for (int i = 1; i <= n; i++) { if (get_par(i) == i) { v.push_back({sz[i], wsz[i]}); } } return valid(); } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n; long long u, v, we; for (int i = 1; i < n; i++) { cin >> u >> v >> we; E.push_back({{u, v}, we}); } for (int i = 1; i <= n; i++) cin >> w[i]; long long dw = 0; long long up = 10001; long long mid; while (dw + 1 < up) { mid = (dw + up) / 2; if (check(mid)) dw = mid; else up = mid; } cout << dw << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; const long long inf = 4e18; const long double pai = acos(-1); int n, all, bad; pair<int, pair<int, int> > e[3009]; int p[100090], need[100009], give[100009]; int get(int node) { if (p[node] == node) return node; return p[node] = get(p[node]); } void merge(int a, int b) { a = get(a), b = get(b); if (a == b) return; p[b] = a; need[a] += need[b]; give[a] += give[b]; if (need[a] > all - give[a]) bad = 1; } int main() { cin >> n; for (int i = 0; i < n - 1; i++) { int a, b, c; cin >> a >> b >> c; a--, b--; e[i] = {c, {a, b}}; } sort(e, e + n - 1); int ans = 0; for (int i = 0; i < n; i++) { cin >> give[i]; all += give[i]; p[i] = i; need[i] = 1; } for (int i = 0; i < n; i++) { if (need[i] > all - give[i]) bad = 1; } if (!bad && n > 1) ans = e[0].first; for (int i = 0; i < n - 1; i++) { int j = i; while (j < n - 1 && e[i].first == e[j].first) { merge(e[j].second.first, e[j].second.second); j++; } if (!bad && j < n) ans = e[j].first; i = j - 1; } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; inline long long read() { long long nm = 0; bool fh = true; char cw = getchar(); for (; !isdigit(cw); cw = getchar()) fh ^= (cw == '-'); for (; isdigit(cw); cw = getchar()) nm = nm * 10 + (cw - '0'); return fh ? nm : -nm; } int n, hv[200200], all, F[200200], sz[200200]; struct Edge { int x, y, z; inline void gtin() { x = read(), y = read(), z = read(); } inline bool operator<(const Edge b) const { return z < b.z; } } e[200200]; inline int fd(int x) { return (F[x] == x) ? x : (F[x] = fd(F[x])); } int main() { n = read(); for (int i = 1; i < n; i++) e[i].gtin(); for (int i = 1; i <= n; i++) hv[i] = read(), all += hv[i], F[i] = i, sz[i] = 1; sort(e + 1, e + n); for (int i = 1, x, y, fx, fy; i < n; i++) { x = e[i].x, y = e[i].y, fx = fd(x), fy = fd(y); if (fx ^ fy) { hv[fx] += hv[fy], sz[fx] += sz[fy], F[fy] = fx; if (all - hv[fx] < sz[fx]) { printf("%d\n", e[i].z); return 0; } } } printf("%d\n", e[n - 1].z); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3e3 + 1; struct YLS { int a, b, w; }; vector<YLS> srt; bool cmp(const YLS &a, const YLS &b) { return (a.w < b.w); } int pr[N], sz[N], x[N], n, m, a, b, w, ans, sm; int find(int a) { return (!pr[a] ? a : find(pr[a])); } int main() { YLS yls; scanf("%d", &n); for (int i = 1; i < n; i++) scanf("%d%d%d", &yls.a, &yls.b, &yls.w), srt.push_back(yls); sort(srt.begin(), srt.end(), cmp); for (int i = 1; i <= n; i++) scanf("%d", x + i), sz[i] = 1, sm += x[i]; for (auto y : srt) { a = find(y.a), b = find(y.b); pr[b] = a, sz[a] += sz[b], x[a] += x[b], ans = y.w; if (sm - x[a] < sz[a]) break; } printf("%d", ans); }
#include <bits/stdc++.h> using namespace std; const int MAXN = 5000; pair<int, pair<int, int> > lis[MAXN]; int n; int pre[MAXN]; int p[MAXN], siz[MAXN]; int findPre(int p) { if (pre[p] != pre[pre[p]]) { pre[p] = findPre(pre[p]); } return pre[p]; } int main() { scanf("%d", &n); for (int i = 0; i < n - 1; ++i) { scanf("%d%d%d", &lis[i].second.first, &lis[i].second.second, &lis[i].first); lis[i].second.first--; lis[i].second.second--; } int tot = 0; for (int i = 0; i < n; ++i) { scanf("%d", &p[i]); tot += p[i]; pre[i] = i; siz[i] = 1; } if (n == 1) { puts("0"); } else { sort(lis, lis + (n - 1)); for (int i = 0; i < n - 1; ++i) { int a = findPre(lis[i].second.first); int b = findPre(lis[i].second.second); pre[b] = a; siz[a] += siz[b]; p[a] += p[b]; if (siz[a] > (tot - p[a])) { printf("%d\n", lis[i].first); return 0; } } } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e5 + 10; inline int read() { char c = getchar(); int x = 0, f = 1; while (c < '0' || c > '9') { if (c == '-') f = -1; c = getchar(); } while (c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar(); return x * f; } int N, fa[MAXN], x[MAXN], siz[MAXN], sum; struct Edge { int u, v, w; bool operator<(const Edge &rhs) const { return w < rhs.w; } } E[MAXN]; int find(int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); } int main() { N = read(); for (int i = 1; i <= N; i++) fa[i] = i, siz[i] = 1; for (int i = 1; i <= N - 1; i++) E[i].u = read(), E[i].v = read(), E[i].w = read(); sort(E + 1, E + N); for (int i = 1; i <= N; i++) x[i] = read(), sum += x[i]; for (int i = 1; i <= N - 1; i++) { int fx = find(E[i].u), fy = find(E[i].v); if (fx == fy) continue; fa[fy] = fx; siz[fx] += siz[fy]; x[fx] += x[fy]; if (siz[fx] > sum - x[fx]) { printf("%d\n", E[i].w); return 0; } } printf("%d\n", E[N - 1].w); return 0; }
#include <bits/stdc++.h> using namespace std; struct E { int u, v, w; } e[3005]; int f[3005], size[3005], val[3005], sum, n; bool cmp(E x, E y) { return x.w < y.w; } int find(int x) { return f[x] == x ? x : f[x] = find(f[x]); } int main() { scanf("%d", &n); for (int i = 1; i < n; i++) scanf("%d%d%d", &e[i].u, &e[i].v, &e[i].w); for (int i = 1; i <= n; i++) scanf("%d", val + i), sum += val[i], size[i] = 1, f[i] = i; sort(e + 1, e + n, cmp); for (int i = 1; i < n; i++) { int x = e[i].u, y = e[i].v, fx = find(x), fy = find(y); f[fx] = fy, size[fy] += size[fx], val[fy] += val[fx]; if (size[fy] > sum - val[fy]) return printf("%d", e[i].w), 0; } return printf("%d", e[n - 1].w), 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 5e5 + 10; int n; int ans; int u[maxn]; int v[maxn]; int w[maxn]; int O[maxn]; int par[maxn]; int num[maxn]; void in(); void solve(); int dsu(int, int); bool cmp(int, int); int root(int); void out(); int main() { ios::sync_with_stdio(false); cout.tie(0); cin.tie(0); in(); solve(); out(); } void in() { cin >> n; for (int i = 0; i < n - 1; i++) { cin >> u[i] >> v[i] >> w[i]; u[i]--; v[i]--; } for (int i = 0; i < n; i++) cin >> num[i]; } void solve() { int sum = 0; for (int i = 0; i < n; i++) { sum += num[i]; par[i] = -1; O[i] = i; } sort(O, O + n - 1, cmp); ans = w[O[0]]; int ded = 0; for (int i = 0; i < n - 1; i++) { int x = dsu(u[O[i]], v[O[i]]); if (par[x] + sum - num[x] < 0) ded = 1; if (!ded) ans = w[O[i + 1]]; } } int dsu(int u, int v) { u = root(u); v = root(v); if (par[u] < par[v]) swap(u, v); par[u] += par[v]; num[u] += num[v]; par[v] = u; return u; } int root(int u) { return par[u] < 0 ? u : par[u] = root(par[u]); } bool cmp(int i, int j) { return w[i] < w[j]; } void out() { cout << ans; }
#include <bits/stdc++.h> using namespace std; struct edge { int u, v, a; bool operator<(const edge& c) const { return a < c.a; } } Set[3001]; int f[3001], sz[3001], out[3001], sum, N; int F(int o) { return o == f[o] ? o : f[o] = F(f[o]); } int main() { scanf("%d", &N); if (N == 1) { puts("0"); return 0; } for (int i = 1; i < N; ++i) scanf("%d%d%d", &Set[i].u, &Set[i].v, &Set[i].a); for (int i = 1; i <= N; ++i) { scanf("%d", &sz[i]); sum += sz[i]; out[i] = 1; f[i] = i; } sort(Set + 1, Set + N); for (int i = 1; i < N; i++) { int u = F(Set[i].u), v = F(Set[i].v); if (u != v) { f[v] = u; sz[u] += sz[v]; out[u] += out[v]; if (sz[u] + out[u] > sum) { printf("%d\n", Set[i].a); return 0; } } } }
#include <bits/stdc++.h> using namespace std; const long double pi = 3.1415926535897932384626433832795l; template <typename T> inline auto sqr(T x) -> decltype(x * x) { return x * x; } template <typename T> inline T abs(T x) { return x > T() ? x : -x; } template <typename T1, typename T2> inline bool umx(T1& a, T2 b) { if (a < b) { a = b; return 1; } return 0; } template <typename T1, typename T2> inline bool umn(T1& a, T2 b) { if (b < a) { a = b; return 1; } return 0; } const int N = 3000; struct Input { int n; int a[N], b[N], c[N]; int x[N]; void init(const Input& input) { *this = input; } }; struct Data : Input { bool read() { if (!(cin >> n)) { return 0; } for (int i = 0; i < int(n - 1); ++i) { scanf("%d%d%d", &a[i], &b[i], &c[i]); --a[i]; --b[i]; } for (int i = 0; i < int(n); ++i) { scanf("%d", &x[i]); } return 1; } int ans; void write() { cout << ans << endl; } virtual void solve() {} virtual void clear() { *this = Data(); } }; struct Solution : Data { int p[N], s[N], t[N]; int P(int x) { if (p[x] == x) { return x; } return p[x] = P(p[x]); } void uni(int x, int y) { x = P(x); y = P(y); if (s[x] > s[y]) { swap(x, y); } p[x] = y; s[y] += s[x]; t[y] += t[x]; } void solve() { int m = accumulate(x, x + n, 0); for (int i = 0; i < int(n); ++i) { p[i] = i; s[i] = 1; t[i] = x[i]; } vector<pair<int, pair<int, int> > > v; for (int i = 0; i < int(n - 1); ++i) { v.push_back(make_pair(c[i], make_pair(a[i], b[i]))); } sort((v).begin(), (v).end()); for (int i = 0; i < int(n - 1); ++i) { uni(v[i].second.first, v[i].second.second); int k = P(v[i].second.first); if (s[k] > m - t[k]) { ans = v[i].first; return; } } } void clear() { *this = Solution(); } }; Solution sol; int main() { cout.setf(ios::showpoint | ios::fixed); cout.precision(20); sol.read(); sol.solve(); sol.write(); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> std::istream &operator>>(std::istream &i, pair<T, U> &p) { i >> p.first >> p.second; return i; } template <typename T> std::istream &operator>>(std::istream &i, vector<T> &t) { for (auto &v : t) { i >> v; } return i; } template <typename T, typename U> std::ostream &operator<<(std::ostream &o, const pair<T, U> &p) { o << p.first << ' ' << p.second; return o; } template <typename T> std::ostream &operator<<(std::ostream &o, const vector<T> &t) { if (t.empty()) o << '\n'; for (size_t i = 0; i < t.size(); ++i) { o << t[i] << " \n"[i == t.size() - 1]; } return o; } template <typename T> using minheap = priority_queue<T, vector<T>, greater<T>>; template <typename T> using maxheap = priority_queue<T, vector<T>, less<T>>; template <typename T> bool in(T a, T b, T c) { return a <= b && b < c; } unsigned int logceil(int first) { return 8 * sizeof(int) - __builtin_clz(first); } namespace std { template <typename T, typename U> struct hash<pair<T, U>> { hash<T> t; hash<U> u; size_t operator()(const pair<T, U> &p) const { return t(p.first) ^ (u(p.second) << 7); } }; } // namespace std template <typename T, typename F> T bsh(T l, T h, const F &f) { T r = -1, m; while (l <= h) { m = (l + h) / 2; if (f(m)) { l = m + 1; r = m; } else { h = m - 1; } } return r; } template <typename F> double bshd(double l, double h, const F &f, double p = 1e-9) { unsigned int r = 3 + (unsigned int)log2((h - l) / p); while (r--) { double m = (l + h) / 2; if (f(m)) { l = m; } else { h = m; } } return (l + h) / 2; } template <typename T, typename F> T bsl(T l, T h, const F &f) { T r = -1, m; while (l <= h) { m = (l + h) / 2; if (f(m)) { h = m - 1; r = m; } else { l = m + 1; } } return r; } template <typename F> double bsld(double l, double h, const F &f, double p = 1e-9) { unsigned int r = 3 + (unsigned int)log2((h - l) / p); while (r--) { double m = (l + h) / 2; if (f(m)) { h = m; } else { l = m; } } return (l + h) / 2; } template <typename T> T gcd(T a, T b) { if (a < b) swap(a, b); return b ? gcd(b, a % b) : a; } template <typename T> class vector2 : public vector<vector<T>> { public: vector2() {} vector2(size_t a, size_t b, T t = T()) : vector<vector<T>>(a, vector<T>(b, t)) {} }; template <typename T> class vector3 : public vector<vector2<T>> { public: vector3() {} vector3(size_t a, size_t b, size_t c, T t = T()) : vector<vector2<T>>(a, vector2<T>(b, c, t)) {} }; template <typename T> class vector4 : public vector<vector3<T>> { public: vector4() {} vector4(size_t a, size_t b, size_t c, size_t d, T t = T()) : vector<vector3<T>>(a, vector3<T>(b, c, d, t)) {} }; template <typename T> class vector5 : public vector<vector4<T>> { public: vector5() {} vector5(size_t a, size_t b, size_t c, size_t d, size_t e, T t = T()) : vector<vector4<T>>(a, vector4<T>(b, c, d, e, t)) {} }; template <typename T> struct bounded_priority_queue { inline bounded_priority_queue(unsigned int X) : A(X), B(0), s(0) {} inline void push(unsigned int L, T V) { B = max(B, L); A[L].push(V); ++s; } inline const T &top() const { return A[B].front(); } inline void pop() { --s; A[B].pop(); while (B > 0 && A[B].empty()) --B; } inline bool empty() const { return A[B].empty(); } inline void clear() { s = B = 0; for (auto &a : A) a = queue<T>(); } inline unsigned int size() const { return s; } private: vector<queue<T>> A; unsigned int B; int s; }; struct UnionFind { UnionFind(size_t N) : P(N, -1), comp(N) {} int find(int first) { while (P[first] >= 0) { first = P[first]; } return first; } bool united(int first, int second) { return find(first) == find(second); } bool unite(int first, int second) { first = find(first); second = find(second); if (first == second) { return false; } --comp; if (P[first] > P[second]) { swap(first, second); } P[first] += P[second]; P[second] = first; return true; } vector<int> P; size_t comp; }; unsigned long long mulull(unsigned long long a, unsigned long long z, unsigned long long mod) { __int128 result = ((__int128)a * (__int128)z) % (__int128)mod; return (unsigned long long)result; } pair<unsigned long long, unsigned long long> mulull(unsigned long long a, unsigned long long b) { __int128 result = (__int128)a * (__int128)b; return {(unsigned long long)(result >> 64), (unsigned long long)result}; } bool fractionGreaterOrEqual(long long a, long long b, long long c, long long d) { if (b < 0) { b = -b; a = -a; } if (d < 0) { d = -d; c = -c; } return a < 0 && c < 0 ? mulull(-a, d) <= mulull(-c, b) : (a >= 0) && (c < 0 || mulull(a, d) >= mulull(c, b)); } bool fractionGreaterOrEqual(pair<long long, long long> a, pair<long long, long long> b) { return fractionGreaterOrEqual(a.first, a.second, b.first, b.second); } bool fractionGreaterOrEqual(double a, double b, double c, double d) { return a / b >= c / d; } namespace Envelope { template <typename T> struct Line { T m, b; mutable function<const Line<T> *()> succ; bool operator<(const Line &rhs) const { if (rhs.b != numeric_limits<T>::min()) return m < rhs.m; const Line *s = succ(); if (!s) return 0; return b - s->b < (s->m - m) * rhs.m; } }; template <typename T> struct Upper : public multiset<Envelope::Line<T>> { using parent = multiset<Line<T>>; bool bad(typename parent::iterator second) { auto z = next(second); if (second == parent::begin()) { return z != parent::end() && second->m == z->m && second->b <= z->b; } else { auto first = prev(second); if (z == parent::end()) { return second->m == first->m && second->b <= first->b; } else { return fractionGreaterOrEqual(first->b - second->b, second->m - first->m, second->b - z->b, z->m - second->m); } } } void insert_line(T m, T b) { auto second = parent::insert({m, b}); second->succ = [=] { return next(second) == parent::end() ? 0 : &*next(second); }; if (bad(second)) { parent::erase(second); return; } while (next(second) != parent::end() && bad(next(second))) parent::erase(next(second)); while (second != parent::begin() && bad(prev(second))) parent::erase(prev(second)); } T operator[](T first) const { auto l = parent::lower_bound({first, numeric_limits<T>::min()}); return l == parent::end() ? numeric_limits<T>::min() : l->m * first + l->b; } }; template <typename T> struct Lower : public Upper<T> { void insert_line(T m, T b) { Upper<T>::insert_line(-m, -b); } T operator[](T first) const { return -Upper<T>::operator[](first); } }; } // namespace Envelope class dzylovesplanting { public: void solve(istream &cin, ostream &cout) { int N; vector<int> X; vector<vector<std::pair<int, int>>> E; cin >> N; X.resize(N); E.resize(10001); for (int i = 0; i < N - 1; ++i) { int u, v, c; cin >> u >> v >> c; E[c].push_back({u - 1, v - 1}); } cin >> X; int T = 0; UnionFind U(N); vector<int> S(N, 1); for (int i = 0; i < N; ++i) T += X[i]; int ans = 0; for (int c = 0; c <= 10000; ++c) { bool ok = true; for (int i = 0; i < N; ++i) { if (U.find(i) == i && T - X[i] < S[i]) ok = false; } if (ok) ans = c; for (std::pair<int, int> e : E[c]) { int a = U.find(e.first); int b = U.find(e.second); U.unite(a, b); S[a] = S[b] = S[a] + S[b]; X[a] = X[b] = X[a] + X[b]; } } cout << ans << '\n'; } }; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); dzylovesplanting solver; std::istream &in(std::cin); std::ostream &out(std::cout); solver.solve(in, out); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> ostream& operator<<(ostream& os, const pair<T, U>& p) { os << "(" << p.first << "," << p.second << ")"; return os; } template <typename T> ostream& operator<<(ostream& os, const vector<T>& v) { os << "["; for (__typeof((v).begin()) i = (v).begin(); i != (v).end(); ++i) { if (i != v.begin()) os << ", "; os << *i; } os << "]"; return os; } vector<int> dad; vector<int> X; int find_set(int x) { return dad[x] < 0 ? x : dad[x] = find_set(dad[x]); } void union_sets(int x, int y) { x = find_set(x); y = find_set(y); if (x == y) return; if (dad[x] > dad[y]) swap(x, y); dad[x] += dad[y]; X[x] += X[y]; dad[y] = x; } int main() { int n; scanf("%d", &n); vector<pair<int, pair<int, int> > > E(n - 1); for (int i = 0; i < (int)(n - 1); ++i) { scanf("%d%d%d", &E[i].second.first, &E[i].second.second, &E[i].first); --E[i].second.first; --E[i].second.second; } X.resize(n); for (int i = 0; i < (int)(n); ++i) scanf("%d", &X[i]); dad.resize(n, -1); int C = accumulate(X.begin(), X.end(), 0); sort(E.begin(), E.end()); int res = 0; for (__typeof((E).begin()) e = (E).begin(); e != (E).end(); ++e) { union_sets(e->second.first, e->second.second); int i = find_set(e->second.first); if (-dad[i] > C - X[i]) { res = e->first; break; } } printf("%d\n", res); }
#include <bits/stdc++.h> using std::cin; using std::cout; const int maxn = 10100; int n, ans; int sum = 0; struct edge { int u, v, w; } a[maxn]; int fa[maxn], size[maxn], can[maxn]; inline int find(int x) { return fa[x] == x ? fa[x] : fa[x] = find(fa[x]); } inline int cmp0(const edge& x, const edge& y) { return x.w < y.w; } inline int check(int x) { return size[find(x)] > sum - can[find(x)]; } int main() { std::ios::sync_with_stdio(false), cin.tie(0); cin >> n; for (int i = 1; i < n; ++i) { cin >> a[i].u >> a[i].v >> a[i].w; } for (int i = 1; i <= n; ++i) { cin >> can[i]; sum += can[i]; fa[i] = i; size[i] = 1; } std::sort(a + 1, a + n, cmp0); for (int i = 1; i <= n; ++i) { ans += check(i); } for (int i = 1; i < n; ++i) { int x = find(a[i].u), y = find(a[i].v); ans -= check(x) + check(y); fa[x] = y; size[y] += size[x]; can[y] += can[x]; ans += check(x); if (ans) { cout << a[i].w << '\n'; return 0; } } cout << a[n - 1].w << '\n'; }
#include <bits/stdc++.h> using namespace std; struct node { int x, y, num; }; node e[3001]; int n; int ans = 0; int father[3001]; int s[3001]; int outlet[3001]; int sum_out = 0; bool cmp1(node xx, node yy) { return xx.num < yy.num; } int find(int x) { if (father[x] != x) { father[x] = find(father[x]); } return father[x]; } void unionset(int x, int y) { father[x] = y; s[y] += s[x]; outlet[y] += outlet[x]; return; } int main() { int i, j, k; int xx, yy; cin >> n; for (i = 1; i <= n - 1; i++) { cin >> e[i].x >> e[i].y >> e[i].num; } sort(e + 1, e + n, cmp1); for (i = 1; i <= n; i++) { father[i] = i; s[i] = 1; cin >> outlet[i]; sum_out += outlet[i]; } if (n == 1) { cout << 0 << endl; return 0; } ans = e[1].num; for (i = 1; i <= n - 2; i++) { xx = find(e[i].x); yy = find(e[i].y); unionset(xx, yy); if (sum_out - outlet[yy] < s[yy]) { break; } else { ans = e[i + 1].num; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3010; int i, j, n, fa[N], sum[N], num[N], tot; struct E { int u, v, w; bool operator<(const E& a) const { return w < a.w; } } e[N]; int get(int x) { if (fa[x] == x) return x; return fa[x] = get(fa[x]); } int main() { scanf("%d", &n); for (i = 1; i < n; i++) scanf("%d %d %d", &e[i].u, &e[i].v, &e[i].w); for (i = 1; i <= n; i++) scanf("%d", sum + i); for (i = 1; i <= n; i++) fa[i] = i, num[i] = 1, tot += sum[i]; sort(e + 1, e + n); for (i = 1; i < n; i++) { static int x, y; for (j = 1; j <= n; j++) if (fa[j] == j && num[j] > n / 2) break; if (num[j] > tot - sum[j]) break; x = get(e[i].u), y = get(e[i].v); if (x != y) { num[y] += num[x]; sum[y] += sum[x]; fa[x] = y; } } cout << e[i - 1].w << endl; }
#include <bits/stdc++.h> using namespace std; const int N = 3008; int n, fa[N], sz[N], sum[N], all, ans; struct Edge { int u, v, d; bool operator<(const Edge &b) const { return d < b.d; } } L[N]; int find(int x) { return x == fa[x] ? fa[x] : fa[x] = find(fa[x]); } int main() { scanf("%d", &n); for (int i = 1; i <= n - 1; i++) { scanf("%d%d%d", &L[i].u, &L[i].v, &L[i].d); } for (int i = 1; i <= n; i++) scanf("%d", &sum[i]), fa[i] = i, sz[i] = 1, all += sum[i]; sort(L + 1, L + n); ans = L[1].d; for (int i = 1; i <= n - 1; i++) { int u = find(L[i].u), v = find(L[i].v); sz[u] += sz[v]; sum[u] += sum[v]; fa[v] = u; if (sz[u] + sum[u] > all) break; if (L[i].d != L[i + 1].d) ans = L[i + 1].d; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; struct node { int x, y, z; } e[5010]; bool cmp(const node& a, const node& b) { return a.z < b.z; } int f[5010]; int find(int x) { return f[x] == x ? x : f[x] = find(f[x]); } int n, bz[5010], sz[5010]; int main() { cin >> n; for (int i = 1; i < n; i++) cin >> e[i].x >> e[i].y >> e[i].z; int tot = 0; for (int i = 1; i <= n; i++) cin >> sz[i], f[i] = i, tot += sz[i], bz[i] = 1; sort(e + 1, e + n, cmp); int ans = e[n - 1].z; bool flag = true; for (int i = 1; i < n;) { int j = i; for (; i < n && e[i].z == e[j].z; i++) { int fx = find(e[i].x), fy = find(e[i].y); f[fy] = fx; sz[fx] += sz[fy]; bz[fx] += bz[fy]; if (bz[fx] > tot - sz[fx]) flag = false; } if (!flag) { ans = e[j].z; break; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3005; struct data { int x, y, w; } a[N]; int n, f[N], x[N], sz[N]; bool cmp(const data &p, const data &q) { return p.w < q.w; } int find(int x) { return f[x] == x ? f[x] : find(f[x]); } int main() { scanf("%d", &n); for (int i = 1; i < n; ++i) scanf("%d%d%d", &a[i].x, &a[i].y, &a[i].w); sort(a + 1, a + n, cmp); int sum = 0; for (int i = 1; i <= n; ++i) { scanf("%d", &x[i]); sum += x[i]; f[i] = i; sz[i] = 1; } bool flag = false; for (int i = 1; i < n; ++i) { int fx = find(a[i].x), fy = find(a[i].y); f[fx] = fy, x[fy] += x[fx], sz[fy] += sz[fx]; if (sz[fy] > sum - x[fy]) { printf("%d\n", a[i].w); flag = true; break; } } if (!flag) puts("0"); return 0; }
#include <bits/stdc++.h> using namespace std; struct vvert { int u, v, w; void read() { scanf("%d %d %d", &u, &v, &w); } bool operator<(const vvert &e) const { return w < e.w; } }; int N, X[3010]; vvert vverts[3010]; int rent[3010], skunk[3010], zeta[3010]; int dara(int x) { return x == rent[x] ? x : rent[x] = dara(rent[x]); } int main() { scanf("%d", &N); for (int i = 0; i < N - 1; i++) { vverts[i].read(); } sort(vverts, vverts + (N - 1)); for (int i = 1; i <= N; i++) { scanf("%d", &X[i]); rent[i] = i; } copy(X + 1, X + N + 1, skunk + 1); fill(zeta + 1, zeta + N + 1, 1); int skunkx = accumulate(X + 1, X + N + 1, 0); for (int i = 0; i < N - 1; i++) { int a = dara(vverts[i].u), b = dara(vverts[i].v); if (a != b) { rent[a] = b; zeta[b] += zeta[a]; skunk[b] += skunk[a]; if (zeta[b] > skunkx - skunk[b]) { printf("%d\n", vverts[i].w); return 0; } } } printf("0"); }
#include <bits/stdc++.h> using namespace std; int n, x[5000], sum, fa[5000], size[5000]; struct node { int u, v, w; } edge[5000]; bool cmp(node a, node b) { return a.w < b.w; } int find(int x) { while (x != fa[x]) x = fa[x] = fa[fa[x]]; return x; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) fa[i] = i, size[i] = 1; for (int i = 1; i < n; i++) scanf("%d %d %d", &edge[i].u, &edge[i].v, &edge[i].w); sort(edge + 1, edge + 1 + n, cmp); for (int i = 1; i <= n; i++) scanf("%d", &x[i]), sum += x[i]; for (int i = 1; i <= n; i++) { int fx = find(edge[i].u); int fy = find(edge[i].v); if (fx == fy) continue; fa[fy] = fx; size[fx] += size[fy]; x[fx] += x[fy]; if (size[fx] > sum - x[fx]) { printf("%d\n", edge[i].w); return 0; } } printf("%d\n", edge[n - 1].w); return 0; }
#include <bits/stdc++.h> using namespace std; struct edge { int fr, to, val; bool operator<(const edge &o) const { return val < o.val; } } e[2000100]; int n, m, x, y, z, fa[2000100], cnt[2000100], sum, siz[2000100], ans, flag = 1; int gf(int u) { return u == fa[u] ? u : fa[u] = gf(fa[u]); } int main() { scanf("%d", &n); for (int i = 1; i < n; i++) scanf("%d %d %d", &e[i].fr, &e[i].to, &e[i].val); for (int i = 1; i <= n; i++) scanf("%d", &cnt[i]), sum += cnt[i], fa[i] = i, siz[i] = 1; sort(e + 1, e + n); for (int i = 1; i < n; i++) { if (flag) ans = e[i].val; int f1 = gf(e[i].fr), f2 = gf(e[i].to); fa[f1] = f2, siz[f2] += siz[f1], cnt[f2] += cnt[f1]; if (siz[f2] > sum - cnt[f2]) flag = 0; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> void pv(T a, T b) { for (T i = a; i != b; ++i) cout << *i << " "; cout << endl; } template <typename T> void chmin(T &t, const T &f) { if (t > f) t = f; } template <typename T> void chmax(T &t, const T &f) { if (t < f) t = f; } int in() { int x; scanf("%d", &x); return x; } namespace MF { const int LIM_N = 6005; const int LIM_M = 10000005; const int wEPS = 0; const int wINF = 1001001001; int n, m, ptr[LIM_N], nxt[LIM_M * 2], zu[LIM_M * 2]; int capa[LIM_M * 2], tof; int lev[LIM_N], see[LIM_N], que[LIM_N], *qb, *qe; void init(int _n) { n = _n; m = 0; fill(ptr, ptr + n, -1); } void ae(int u, int v, int w0, int w1 = 0) { nxt[m] = ptr[u]; ptr[u] = m; zu[m] = v; capa[m] = w0; ++m; nxt[m] = ptr[v]; ptr[v] = m; zu[m] = u; capa[m] = w1; ++m; } int augment(int src, int ink, int flo) { if (src == ink) return flo; for (int &i = see[src]; ~i; i = nxt[i]) if (capa[i] > wEPS && lev[src] < lev[zu[i]]) { const int f = augment(zu[i], ink, min(flo, capa[i])); if (f > wEPS) { capa[i] -= f; capa[i ^ 1] += f; return f; } } return 0; } bool solve(int src, int ink, int flo = wINF) { for (tof = 0; tof + wEPS < flo;) { qb = qe = que; fill(lev, lev + n, -1); for (lev[ *qe++ = src] = 0, see[src] = ptr[src]; qb != qe;) { const int u = *qb++; for (int i = ptr[u]; ~i; i = nxt[i]) if (capa[i] > wEPS) { const int v = zu[i]; if (lev[v] == -1) { lev[ *qe++ = v] = lev[u] + 1; see[v] = ptr[v]; if (v == ink) goto au; } } } return false; au: for (int f; (f = augment(src, ink, flo - tof)) > wEPS; tof += f) ; } return true; } } // namespace MF int uf[3010]; int root(int u) { return (uf[u] < 0) ? u : (uf[u] = root(uf[u])); } void conn(int u, int v) { u = root(u); v = root(v); if (u == v) return; if (uf[u] > uf[v]) swap(u, v); uf[u] += uf[v]; uf[v] = u; } int N; int A[3010], B[3010], C[3010]; int X[3010]; int numCompos; int us[3010]; int ids[3010]; int sumX[3010]; bool check(int threshold) { fill(uf, uf + N, -1); for (int i = 0; i < N - 1; ++i) { if (C[i] < threshold) { conn(A[i], B[i]); } } numCompos = 0; for (int u = 0; u < N; ++u) if (uf[u] < 0) { us[numCompos] = u; ids[u] = numCompos++; } fill(sumX, sumX + numCompos, 0); for (int u = 0; u < N; ++u) { chmin(sumX[ids[root(u)]] += X[u], N); } MF::init(2 + numCompos + numCompos); for (int a = 0; a < numCompos; ++a) { MF::ae(0, 2 + a, -uf[us[a]]); MF::ae(2 + numCompos + a, 1, sumX[a]); } for (int a = 0; a < numCompos; ++a) for (int b = 0; b < numCompos; ++b) if (a != b) { MF::ae(2 + a, 2 + numCompos + b, -uf[us[a]]); } const bool res = MF::solve(0, 1, N); return res; } int csLen; int cs[3010]; int main() { for (; ~scanf("%d", &N);) { for (int i = 0; i < N - 1; ++i) { A[i] = in() - 1; B[i] = in() - 1; C[i] = in(); } for (int u = 0; u < N; ++u) { X[u] = in(); } copy(C, C + N - 1, cs); sort(cs, cs + N - 1); csLen = unique(cs, cs + N - 1) - cs; int lo = 0, ho = csLen; for (; lo + 1 < ho;) { const int mo = (lo + ho) / 2; (check(cs[mo]) ? lo : ho) = mo; } printf("%d\n", cs[lo]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3005; int n; vector<pair<int, int> > edge[N]; int c[N]; int fa[N]; int cnt[N], sigma[N]; int find(int u) { return u == fa[u] ? u : fa[u] = find(fa[u]); } void merge(int u, int v) { fa[v] = u; } void dfs(int u, int bar, int fa = -1) { for (int i = 0; i < (int)edge[u].size(); ++i) { int v = edge[u][i].first, d = edge[u][i].second; if (v == fa) { continue; } dfs(v, bar, u); if (d < bar) { merge(find(v), find(u)); } } } bool check(int bar) { for (int i = 0; i < n; ++i) { fa[i] = i; } dfs(0, bar); for (int i = 0; i < n; ++i) { cnt[i] = 0, sigma[i] = 0; } for (int i = 0; i < n; ++i) { ++cnt[find(i)], sigma[find(i)] += c[i]; } int maxcnt = find(0), sum = 0; for (int i = 0; i < n; ++i) { if (find(i) == i) { if (cnt[i] > cnt[maxcnt]) { maxcnt = i; } sum += sigma[i]; } } return sum - sigma[maxcnt] >= cnt[maxcnt]; } int main() { scanf("%d", &n); if (n == 1) { printf("0\n"); return 0; } vector<int> val; for (int i = 1; i < n; ++i) { int u, v, w; scanf("%d%d%d", &u, &v, &w); --u, --v; edge[u].push_back(make_pair(v, w)); edge[v].push_back(make_pair(u, w)); val.push_back(w); } sort(val.begin(), val.end()); val.erase(unique(val.begin(), val.end()), val.end()); for (int i = 0; i < n; ++i) { scanf("%d", c + i); } int l = 0, r = (int)val.size() - 1; while (l < r) { int m = l + r + 1 >> 1; if (check(val[m])) { l = m; } else { r = m - 1; } } printf("%d\n", val[l]); return 0; }
#include <bits/stdc++.h> using namespace std; constexpr int N = 3000 + 10; constexpr int LG = 20; constexpr int MOD = 1e9 + 7; constexpr int MOD2 = 1e9 + 9; int n, par[N], u, v, w, sz[N], sum[N], ans, sumall; vector<pair<int, pair<int, int>>> e; int get_par(int v) { if (par[v] == v) return v; return par[v] = get_par(par[v]); } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n; for (int i = 1; i < n; i++) { cin >> u >> v >> w; e.push_back({w, {u, v}}); } for (int i = 1; i <= n; i++) cin >> sum[i], par[i] = i, sz[i] = 1, sumall += sum[i]; sort(e.begin(), e.end()); for (int i = 0; i < (int)e.size(); i++) { u = e[i].second.first; v = e[i].second.second; par[u] = get_par(u); par[v] = get_par(v); sum[par[u]] += sum[par[v]]; sz[par[u]] += sz[par[v]]; par[par[v]] = par[u]; ans = e[i].first; if (sz[par[u]] >= (n + 1) / 2) if (sz[par[u]] > sumall - sum[par[u]]) break; } cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX_N = 3e3 + 9; int n, ans; pair<int, pair<int, int> > edge[MAX_N]; int par[MAX_N]; int len[MAX_N]; int val[MAX_N]; int sum; int root(int v) { return par[v] == v ? v : par[v] = root(par[v]); } int main() { ios::sync_with_stdio(false), cin.tie(0); cin >> n; for (int i = 0; i < n - 1; i++) { cin >> edge[i].second.first >> edge[i].second.second >> edge[i].first; edge[i].second.first--, edge[i].second.second--; } sort(edge, edge + n - 1); for (int i = 0; i < n; i++) { par[i] = i; len[i] = 1; cin >> val[i]; sum += val[i]; } ans = edge[0].first; for (int i = 0; i < n; i++) { int v = edge[i].second.first; int u = edge[i].second.second; val[root(u)] += val[root(v)]; len[root(u)] += len[root(v)]; par[root(v)] = root(u); if (sum - val[root(v)] < len[root(v)]) break; ans = edge[i + 1].first; } cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 5; int n; struct edge { int u, v, w; } e[N]; int fa[N], siz[N], x[N], s; inline int findf(int x) { return fa[x] == x ? x : fa[x] = findf(fa[x]); } inline bool cmp(const edge& a, const edge& b) { return a.w < b.w; } int main() { scanf("%d", &n); for (int i = 1; i < n; i++) scanf("%d%d%d", &e[i].u, &e[i].v, &e[i].w); for (int i = 1; i <= n; i++) scanf("%d", &x[i]), fa[i] = i, siz[i] = 1, s += x[i]; sort(e + 1, e + n, cmp); for (int i = 1; i < n; i++) { int fx = findf(e[i].u), fy = findf(e[i].v); if (fx == fy) continue; fa[fx] = fy, siz[fy] += siz[fx], x[fy] += x[fx]; if (siz[fy] > s - x[fy]) { printf("%d", e[i].w); return 0; } } printf("0"); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; long long counter = 0; for (int i = 0; i < n; i++) { int x, y; cin >> x >> y; if (y - x >= 2) counter++; } cout << counter; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; int a[n][2]; int i, j, x = 0; for (i = 0; i < n; i++) { for (j = 0; j < 2; j++) { cin >> a[i][j]; } if (a[i][0] + 1 < a[i][1]) { x++; } } cout << x; return 0; }
#include <bits/stdc++.h> using namespace std; long long n, ans = 0; int main() { cin >> n; for (int i = 0; i < (n); i++) { int p, q; cin >> p >> q; if (q - p >= 2) ans++; } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, p[105][105], ans = 0; cin >> n; for (int i = 0; i < n; i++) { for (int j = 0; j < 2; j++) { cin >> p[i][j]; } } for (int i = 0; i < n; i++) { for (int j = 0; j < 2; j++) { if (p[i][j + 1] - p[i][j] >= 2) ans++; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, x = 0; cin >> n; int a[n][2]; for (int i = 0; i < n; i++) { cin >> a[i][0] >> a[i][1]; } for (int i = 0; i < n; i++) { if (a[i][1] - a[i][0] > 1) x++; } cout << x; }
#include <bits/stdc++.h> using namespace std; int main() { int n, p, q; int cont = 0; cin >> n; while (n--) { cin >> p >> q; if ((q - p) >= 2) { cont++; } } cout << cont << endl; return 0; }
#include <bits/stdc++.h> int main() { int n; scanf("%d", &n); int a[n][2]; for (int i = 0; i < n; i++) { for (int j = 0; j < 2; j++) { scanf("%d", &a[i][j]); } } int c = 0, k = 0, m = 0; for (int i = 0; i < n; i++) { if (a[i][0] == a[i][1]) c++; else if (a[i][0] == a[i][1] - 1) m++; else k++; } if (c == n || m == n) printf("0"); else printf("%d", k); }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(0); cin.tie(0); int n; cin >> n; int low[n], high[n]; for (int i = 0; i < n; i++) { cin >> low[i] >> high[i]; } int ans = 0; for (int i = 0; i < n; i++) { if (high[i] - low[i] >= 2) { ans++; } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(0); cin.tie(0); int n; cin >> n; int ans = 0; for (int i = 0; i < n; i++) { int x, y; cin >> x >> y; int a = abs(x - y); if (a >= 2) ans++; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, m = 0; int p[101]; int q[101]; cin >> n; for (int i = 0; i < n; i++) { cin >> p[i] >> q[i]; } for (int i = 0; i < n; i++) { if ((q[i] - p[i]) >= 2) { m++; } } cout << m; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, p, c, sum = 0; cin >> n; for (int i = 0; i < n; ++i) { cin >> p >> c; if ((c - p) >= 2) sum++; } cout << sum << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, p, q, s, i; cin >> n; s = 0; for (i = 1; i <= n; i++) { cin >> p >> q; if ((q - p) >= 2) s++; } cout << s << endl; return 0; }
#include <bits/stdc++.h> int main() { int number, i; int result = 0; scanf("%d", &number); for (i = 0; i < number; i++) { int people, size; scanf("%d %d", &people, &size); if ((size - people) >= 2) result = result + 1; } printf("%d", result); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; int a[n * 2]; for (int i = 0; i < n * 2; i++) { cin >> a[i]; } int room = 0; for (int i = 0; i < n * 2; i++) { if (i % 2 == 0) { if (a[i + 1] - a[i] >= 2) { room++; } } } cout << room; }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; int a, b; int total = 0; while (n > 0) { cin >> a >> b; if (b - a >= 2) total++; n--; } cout << total; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, p, q, ans = 0; cin >> n; while (n--) { cin >> p >> q; if (p < q && (abs(p - q) >= 2)) ans++; } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; int main(void) { int n, total = 0; cin >> n; while (n--) { int a, b; cin >> a >> b; if (b - a >= 2) total++; } cout << total << endl; return 0; }
#include <bits/stdc++.h> struct room { int p; int s; }; int main() { int n; scanf("%d", &n); struct room a[n]; int i; for (i = 0; i < n; i++) { scanf("%d", &a[i].p); scanf("%d", &a[i].s); } int sum = 0; for (i = 0; i < n; i++) { if ((a[i].p) + 1 < a[i].s) { sum = sum + 1; } } printf("%d", sum); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; char str[110]; while (scanf("%d", &n) != EOF) { int res = 0; for (int i = 0; i < n; i++) { int p, q; scanf("%d %d", &p, &q); if (p < q - 1) res++; } printf("%d\n", res); } }
#include <bits/stdc++.h> using namespace std; int main() { int n, r = 0; cin >> n; for (n; n >= 1; n--) { int a, b; cin >> a >> b; if ((b - a) >= 2) r++; } cout << r << endl; }
#include <bits/stdc++.h> using namespace std; int main() { int a, p, q, counter = 0; cin >> a; while (a--) { cin >> p >> q; if (p + 1 < q) counter++; } cout << counter; }
#include <bits/stdc++.h> using namespace std; int main() { int i, j, k, n, p, q, c = 0; while (cin >> n) { c = 0; for (i = 0; i < n; i++) { cin >> p >> q; if (q - p >= 2) c++; } cout << c << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int c = 0; int n; cin >> n; int arr[n], ar2[n]; for (int i = 0; i < n; i++) { cin >> arr[i] >> ar2[i]; if (arr[i] < ar2[i] - 1) c++; } cout << c; return 0; }
#include <bits/stdc++.h> int main() { int i, count = 0; int p, q, n; scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d%d", &p, &q); if ((q - p) >= 2) { count++; } } printf("%d", count); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, a, b, k = 0; cin >> n; for (int i = 1; i <= n; ++i) { cin >> a >> b; if (b - 2 >= a) k++; } cout << k << " "; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, i, a, b, count = 0; cin >> n; for (i = 0; i < n; i++) { cin >> a >> b; if (b - a >= 2) count++; } cout << count; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, ans = 0; scanf("%d", &n); for (int i = 0; i < n; i++) { int p, q; scanf("%d %d", &p, &q); if ((q - p) >= 2) ans++; } printf("%d", ans); return (0); }
#include <bits/stdc++.h> int main() { int n, i, j, sum = 0; scanf("%d", &n); int a[n][2]; for (i = 0; i < n; i++) { for (j = 0; j < 2; j++) scanf("%d", &a[i][j]); } for (i = 0; i < n; i++) { if ((a[i][1] - a[i][0]) >= 2) sum++; } printf("%d \n", sum); }
#include <bits/stdc++.h> int main() { int n, i, j, k, count = 0; scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d %d", &j, &k); if ((k - j) >= 2) { count++; } } printf("%d\n", count); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; int a[n], b[n]; int c = 0; for (int i = 0; i < n; i++) { cin >> a[i] >> b[i]; if (b[i] - a[i] >= 2) c++; } cout << c; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, p, q, count = 0; cin >> n; for (int i = 1; i <= n; i++) { cin >> p >> q; if (q - p >= 2) count++; } cout << count; }
#include <bits/stdc++.h> int main() { int n, p, q, i, j, t = 1, count = 0; scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d%d", &p, &q); if (p == q || p == (q - 1)) { t = 0; } if (p < (q - 1)) { t = 1; count++; } } printf("%d", count); return 0; }