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#include <bits/stdc++.h> using namespace std; long long INF = (1LL << 62); struct ff { long long price, mask, monitors; }; bool cmp(const ff &A, const ff &B) { return A.monitors < B.monitors; } ff f[150]; long long memo[1 << 21]; int main() { long long n, m, b; cin >> n >> m >> b; for (int i = 0; i < n; ++i) { int k; cin >> f[i].price >> f[i].monitors >> k; for (int j = 0; j < k; ++j) { int id; cin >> id; --id; f[i].mask |= (1 << id); } } sort(f, f + n, cmp); for (int i = 0; i < (1 << m); ++i) memo[i] = INF; memo[0] = 0; long long mi = INF; for (int i = 0; i < n; ++i) { for (int mask = 0; mask < (1 << m); ++mask) memo[mask | f[i].mask] = min(memo[mask | f[i].mask], memo[mask] + f[i].price); long long res = memo[(1 << m) - 1]; if (res != INF) mi = min(mi, res + f[i].monitors * b); } if (mi == INF) mi = -1; cout << mi << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long double PI = acos(-1), EPS = 1e-8; const int mod = 1000000007; const int dr[]{-1, -1, 0, 1, 1, 1, 0, -1}; const int dc[]{0, 1, 1, 1, 0, -1, -1, -1}; void run() { ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); } int main() { run(); int n, m; long long b; cin >> n >> m >> b; vector<vector<int>> v(n, vector<int>(3)); for (auto& it : v) { int x; cin >> it[0] >> it[1] >> x; while (x--) { int a; cin >> a; a--; it[2] |= (1 << a); } } sort(v.begin(), v.end(), [](const vector<int>& a, vector<int>& b) { return a[1] < b[1]; }); vector<long long> dp(1 << m, 0x3f3f3f3f3f3f3f3fLL); dp[(1 << m) - 1] = 0; for (int idx = n - 1; idx >= 0; idx--) for (int mask = 0; mask < (1 << m); mask++) { long long& rt = dp[mask]; if ((mask | v[idx][2]) == (1 << m) - 1) rt = min(rt, v[idx][0] + v[idx][1] * b); else rt = min(rt, v[idx][0] + dp[mask | v[idx][2]]); } long long rt = dp[0]; if (rt >= 0x3f3f3f3f3f3f3f3fLL) rt = -1; cout << rt << "\n"; ; }
#include <bits/stdc++.h> using namespace std; struct Edge { int a, b, c; bool operator<(const Edge &r) const { return c < r.c; } }; int N, x[3000], bl[3000]; vector<pair<int, int> > edges[3000]; Edge e[3000]; pair<int, int> dfs(int n, int p) { if (bl[n]) return pair<int, int>(0, 0); pair<int, int> ret = pair<int, int>(1, x[n]); for (int i = int(0); i < int(edges[n].size()); i++) { int next = edges[n][i].first; if (next == p) continue; pair<int, int> t = dfs(next, n); ret.first += t.first; ret.second += t.second; } return ret; } void block(int n) { if (bl[n]) return; bl[n] = 1; for (int i = int(0); i < int(edges[n].size()); i++) block(edges[n][i].first); } int main() { int a, b, c; while (scanf("%d", &N) != EOF) { for (int i = int(0); i < int(N); i++) edges[i].clear(), bl[i] = 0; for (int i = int(1); i < int(N); i++) { scanf("%d %d %d", &a, &b, &c); a--, b--; e[i] = Edge{a, b, c}; edges[a].push_back(pair<int, int>(b, c)); edges[b].push_back(pair<int, int>(a, c)); } sort(e + 1, e + N); for (int i = int(0); i < int(N); i++) { scanf("%d", x + i); } int ac = 0, ans = 0; for (int i = N - 1; i; i--) { if (bl[e[i].a] || bl[e[i].b]) continue; pair<int, int> t1 = dfs(e[i].a, e[i].b); pair<int, int> t2 = dfs(e[i].b, e[i].a); if (t1.first < t2.first) swap(t1, t2), swap(e[i].b, e[i].a); if (t1.first > t2.second + ac) { ac += t2.second; bl[e[i].b] = 1; for (int j = int(0); j < int(edges[e[i].b].size()); j++) { int next = edges[e[i].b][j].first; if (next == e[i].a) continue; block(next); } } else { ans = e[i].c; break; } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 123; const int inf = 1e9; const long double Pi = acos(-1); const int mod = 95542721; const long long Inf = 1e18; int n, c[N]; struct edge { int u, v, c; } e[N]; bool cmp(edge a, edge b) { return a.c < b.c; } struct dsu { int p, sz; } a[N]; bool fail; int ans, second; int get(int x) { if (a[x].p == x) return x; return a[x].p = get(a[x].p); } void Merge(int u, int v) { u = get(u); v = get(v); a[v].p = u; a[u].sz += a[v].sz; c[u] += c[v]; if (a[u].sz > second - c[u]) { fail = 1; } } int main() { srand(time(0)); cin >> n; for (int i = 1; i < n; i++) cin >> e[i].u >> e[i].v >> e[i].c; for (int i = 1; i <= n; i++) { cin >> c[i]; second += c[i]; } sort(e + 1, e + n, &cmp); for (int i = 1; i <= n; i++) { a[i].p = i; a[i].sz = 1; } for (int i = 1; i < n; i++) { int j = i; while (j + 1 < n && e[j + 1].c == e[i].c) { j++; } for (int it = i; it <= j; it++) Merge(e[it].u, e[it].v); if (fail) { ans = e[i].c; break; } i = j; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3005; int x[N], y[N], z[N], a[N], s, size1[N], size2[N], n, f[N]; int find(int x) { if (x == f[x]) return x; return f[x] = find(f[x]); } int pd(int val) { for (int i = 1; i <= n; i++) f[i] = i; for (int i = 1; i < n; i++) if (z[i] < val) f[find(x[i])] = find(y[i]); memset(size1, 0, sizeof size1); memset(size2, 0, sizeof size2); for (int i = 1; i <= n; i++) size1[find(i)]++, size2[find(i)] += a[i]; for (int i = 1; i <= n; i++) if (find(i) == i && s - size2[i] < size1[i]) return 0; return 1; } int main() { scanf("%d", &n); for (int i = 1; i < n; i++) scanf("%d%d%d", &x[i], &y[i], &z[i]); for (int i = 1; i <= n; i++) scanf("%d", &a[i]), s += a[i]; int l = 0, r = 10000; while (l < r) { int mid = (l + r + 1) / 2; if (pd(mid)) l = mid; else r = mid - 1; } printf("%d\n", l); }
#include <bits/stdc++.h> using namespace std; int fa[3010], cnt[3010], x[3010], hop[3010]; int to[2 * 3010], nxt[2 * 3010], wei[2 * 3010], head[3010], edge; int val[3010], N; void add_edge(int u, int v, int w) { to[edge] = v; nxt[edge] = head[u]; wei[edge] = w; head[u] = edge++; to[edge] = u; nxt[edge] = head[v]; wei[edge] = w; head[v] = edge++; return; } int find_fa(int u) { if (u == fa[u]) return u; return fa[u] = find_fa(fa[u]); } void dfs(int u, int bound, int f) { for (int ID = head[u]; ID != -1; ID = nxt[ID]) { int v = to[ID]; if (v == f) continue; if (wei[ID] < bound) fa[find_fa(u)] = find_fa(v); dfs(v, bound, u); } return; } bool calc(int t) { for (int i = 0; i < N; i++) fa[i] = i; for (int i = 0; i < N; i++) cnt[i] = 0; for (int i = 0; i < N; i++) hop[i] = 0; dfs(0, t, -1); for (int i = 0; i < N; i++) fa[i] = find_fa(i); for (int i = 0; i < N; i++) cnt[fa[i]]++; for (int i = 0; i < N; i++) hop[fa[i]] += x[i]; int mxcnt = fa[0]; int sum = 0; for (int i = 0; i < N; i++) if (fa[i] == i) { sum += hop[i]; if (cnt[i] > cnt[mxcnt]) mxcnt = i; } if (sum - hop[mxcnt] >= cnt[mxcnt]) return true; return false; } int main() { scanf("%d", &N); memset(head, 0xff, sizeof(head)); int ct = 0; int u, v, w, fir, se, mid; for (int i = 0; i < N - 1; i++) { scanf("%d%d%d", &u, &v, &w); u--; v--; add_edge(u, v, w); val[ct++] = w; } for (int i = 0; i < N; i++) scanf("%d", x + i); sort(val, val + ct); ct = unique(val, val + ct) - val; fir = 0; se = ct; while (se - fir > 1) { mid = (se + fir) >> 1; if (calc(val[mid])) fir = mid; else se = mid; } printf("%d\n", val[fir]); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> inline int len(const T &a) { return a.size(); } constexpr int mxn = 3e3 + 10; int n, p[mxn]; tuple<int, int, int> edges[mxn]; int guys[mxn], psum[mxn]; void clear() { for (int i = 0; i < mxn; ++i) { guys[i] = -1; psum[i] = p[i]; } } int root(int v) { return guys[v] < 0 ? v : guys[v] = root(guys[v]); } void unite(int v, int u) { v = root(v), u = root(u); if (v == u) { return; } if (guys[u] < guys[v]) { swap(u, v); } guys[v] += guys[u]; guys[u] = v; psum[v] += psum[u]; } int main() { scanf("%d", &n); for (int i = 0; i < n - 1; ++i) { int v, u, w; scanf("%d%d%d", &v, &u, &w); edges[i] = {w, --v, --u}; } int allp = 0; for (int i = 0; i < n; ++i) { scanf("%d", &p[i]); allp += p[i]; } auto solve = [&](int mid) { clear(); for (int i = 0; i < n - 1; ++i) { if (get<0>(edges[i]) < mid) { unite(get<1>(edges[i]), get<2>(edges[i])); } } for (int i = 0; i < n; ++i) { if (guys[i] >= 0) { continue; } if (-guys[i] > (allp - psum[i])) { return false; } } return true; }; int low = 0, high = 10000; while (high - low > 0) { int mid = (high + low + 1) >> 1; if (solve(mid)) { low = mid; } else { high = mid - 1; } } printf("%d", low); return 0; }
#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; } sort(lis, lis + (n - 1)); for (int i = 0; i < n; ++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; int n; const int N = 5000; struct edge { int a, b, c; } E[N]; int xi[N], yi[N], fa[N], sum, ans; int comp(edge u, edge v) { return u.c < v.c; } int get_f(int a) { return fa[a] == a ? a : fa[a] = get_f(fa[a]); } int main() { scanf("%d", &n); for (int i = 1; i < n; ++i) scanf("%d%d%d", &E[i].a, &E[i].b, &E[i].c); sort(E + 1, E + n, comp); for (int i = 1; i <= n; ++i) scanf("%d", &xi[i]), yi[i] = 1, fa[i] = i, sum += xi[i]; for (int i = 1; i < n; ++i) { ans = E[i].c; xi[get_f(E[i].a)] += xi[get_f(E[i].b)]; yi[get_f(E[i].a)] += yi[get_f(E[i].b)]; fa[get_f(E[i].b)] = get_f(E[i].a); if (yi[get_f(E[i].a)] > sum - xi[get_f(E[i].a)]) break; } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; const int INF = (int)1E9; int N, pro[3005], rep[3005], rnk[3005], rem[3005]; pair<int, pair<int, int> > es[3005]; int fd(int x) { return rep[x] == x ? x : rep[x] = fd(rep[x]); } void us(int a, int b) { int x = fd(a), y = fd(b); if (x == y) return; if (rnk[x] > rnk[y]) swap(x, y); if (rnk[x] == rnk[y]) rnk[y]++; rep[x] = y; rem[y] += rem[x]; pro[y] += pro[x]; } int main() { cin >> N; if (N == 1) return puts("0"), 0; for (int i = (0); i < (N - 1); i++) { int a, b, c; scanf("%d%d%d", &a, &b, &c); a--; b--; es[i] = make_pair(c, pair<int, int>(a, b)); } sort(es, es + N - 1); int sumpro = 0; for (int i = (0); i < (N); i++) { rem[i] = 1; rnk[i] = 0; rep[i] = i; scanf("%d", pro + i); sumpro += pro[i]; } int tot = N, ans = es[0].first; for (int i = (0); i < (N - 1); i++) { int a = es[i].second.first, b = es[i].second.second; int x = fd(a), y = fd(b); us(x, y); int z = fd(x); if (rem[z] > sumpro - pro[z]) break; if (i + 1 < N - 1) ans = es[i + 1].first; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; int f[3100], s[3100], a[3100], b[3100], n, sum = 0; int find(int k) { if (k == f[k]) return k; return f[k] = find(f[k]); } struct rec { int x, y, z; } q[3100]; bool cmp(rec a, rec b) { return a.z > b.z; } int main() { scanf("%d", &n); for (int i = 1; i < n; i++) scanf("%d%d%d", &q[i].x, &q[i].y, &q[i].z); for (int i = 1; i <= n; i++) scanf("%d", &a[i]), sum += a[i]; sort(q + 1, q + n + 1, cmp); for (int i = 2; i < n; i++) if (q[i].z != q[i - 1].z) { for (int j = 1; j <= n; j++) f[j] = j, s[j] = 1, b[j] = a[j]; for (int j = i; j < n; j++) { int fx = find(q[j].x), fy = find(q[j].y); if (fx == fy) continue; f[fy] = fx; s[fx] += s[fy]; b[fx] += b[fy]; s[fy] = b[fy] = 0; } int pd = 1; for (int j = 1; j <= n; j++) if (find(j) == j) { if (s[j] > sum - b[j]) pd = 0; } if (pd) { cout << q[i - 1].z << endl; return 0; } } cout << q[n - 1].z << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3005; int a, b, c, d, e, f, g, h, i, j, k; struct edge { int u, v, w; friend bool operator<(const edge &x, const edge &y) { return x.w < y.w; } }; edge E[N]; int fa[N], size[N], D[N], ALL; int Find(int x) { return fa[x] == x ? x : fa[x] = Find(fa[x]); } void Init() { cin >> a; for (int ii = 1; ii < a; ii++) scanf("%d%d%d", &E[ii].u, &E[ii].v, &E[ii].w); sort(E + 1, E + a); for (int ii = 1; ii <= a; ii++) scanf("%d", &D[ii]), ALL += D[ii]; } void Work() { bool ch = true; int an = 0; for (int ii = 1; ii <= a; ii++) fa[ii] = ii, size[ii] = 1; for (int ii = 1; ii <= a; ii++) if (size[ii] > ALL - D[ii]) ch = false; if (ch) an = E[1].w; for (int ii = 1; ch && ii < a - 1; ii++) { c = Find(E[ii].u), d = Find(E[ii].v); fa[d] = c, size[c] += size[d], D[c] += D[d]; if (size[c] > ALL - D[c]) ch = false; if (ch) an = E[ii + 1].w; } cout << an << endl; } int main() { Init(), Work(); return 0; }
#include <bits/stdc++.h> using namespace std; int a[3000]; int par[3000]; int cnt[3000]; void init(int n) { int i; for (i = 0; i < n; i++) { par[i] = i; cnt[i] = 0; } } int find(int x) { if (par[x] == x) return x; return par[x] = find(par[x]); } void unite(int x, int y) { x = find(x); y = find(y); if (x == y) return; par[x] = y; } int main() { int n, l, r, m, i; vector<pair<int, pair<int, int> > > v; scanf("%d", &n); for (i = 0; i < n - 1; i++) { int x, y, z; scanf("%d %d %d", &x, &y, &z); v.push_back(make_pair(z, make_pair(x - 1, y - 1))); } sort(v.begin(), v.end()); for (i = 0; i < n; i++) scanf("%d", &a[i]); if (n == 1) { puts("0"); return 0; } l = 0, r = n - 1, m = (l + r) / 2; while (r - l > 1) { int c = 0, sum = 0; init(n); for (i = 0; i < m; i++) unite(v[i].second.first, v[i].second.second); for (i = 0; i < n; i++) cnt[find(i)]++; for (i = 0; i < n; i++) { if (cnt[i] > cnt[c]) c = i; } for (i = 0; i < n; i++) { if (find(i) != c) sum += a[i]; } if (sum >= cnt[c]) { l = m; m = (l + r) / 2; } else { r = m; m = (l + r) / 2; } } printf("%d\n", v[l].first); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3000 + 100; int aa[N], bb[N], cc[N]; int n; int fa[N], sum[N], son[N], lim[N]; int Find(int u) { if (u == fa[u]) return u; return fa[u] = Find(fa[u]); } int check(int mid) { for (int i = 1; i <= n; i++) fa[i] = i, sum[i] = lim[i], son[i] = 1; for (int i = 1; i < n; i++) { if (cc[i] >= mid) continue; int u = Find(aa[i]), v = Find(bb[i]); if (u == v) continue; if (son[u] > son[v]) swap(u, v); fa[u] = v; sum[v] += sum[u]; son[v] += son[u]; } int all = 0; for (int i = 1; i <= n; i++) { int u = Find(i); if (u != i) continue; all += sum[i]; } for (int i = 1; i <= n; i++) { if (fa[i] != i) continue; if (all - sum[i] < son[i]) return 0; } return 1; } int sta[N], top; int main() { while (scanf("%d", &n) != EOF) { top = 0; for (int i = 1; i < n; i++) { scanf("%d%d%d", &aa[i], &bb[i], &cc[i]); sta[top++] = cc[i]; } for (int i = 1; i <= n; i++) scanf("%d", &lim[i]); sort(sta, sta + top); top = unique(sta, sta + top) - sta; int l = 1, r = top - 1; int ans = sta[0]; while (l <= r) { int mid = (l + r) / 2; if (check(sta[mid])) { ans = sta[mid]; l = mid + 1; } else r = mid - 1; } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; long w[200000], sz[200000], ttl[200000], ans, n; vector<pair<long, pair<long, long> > > v; long s, er, a, b; long c, cur; long gett(long x) { while (x != w[x]) x = w[x]; return x; } void merg(long a, long b) { a = gett(a), b = gett(b); w[b] = a; sz[a] += sz[b]; ttl[a] += ttl[b]; if (sz[a] > s - ttl[a]) er = 1; } int main() { ios_base::sync_with_stdio(0); cin >> n; for (int i = 1; i < n; i++) { cin >> a >> b >> c; v.push_back(make_pair(c, make_pair(a, b))); } sort(v.begin(), v.end()); for (int i = 1; i <= n; i++) { cin >> ttl[i]; sz[i] = 1; s += ttl[i]; w[i] = i; } if (n == 1) { cout << 0 << endl; return 0; } ans = v[0].first; for (int i = 0; i < v.size();) { cur = i; while (cur < v.size() && v[cur].first == v[i].first) { merg(v[cur].second.first, v[cur].second.second); ++cur; } i = cur; if (i < v.size() && er == 0) ans = v[i].first; } cout << ans << endl; cin.get(); cin.get(); return 0; }
#include <bits/stdc++.h> using namespace std; const long long int MOD = 1000000007; const long long BIG = 1446803456761533460; const int Big = 336860180; stringstream sss; const long long int maxn = 3010; long long int n; long long int cnt[maxn], sz[maxn]; long long int rt[maxn]; pair<long long int, pair<long long int, long long int> > es[maxn]; long long int root(long long int x) { return x == rt[x] ? x : rt[x] = root(rt[x]); } void MAIN() { cin >> n; for (long long int i = (0); i < (n - 1); ++i) { long long int a, b, c; cin >> a >> b >> c; --a, --b; es[i] = {c, {a, b}}; } long long int sum = 0; for (long long int i = (0); i < (n); ++i) cin >> cnt[i], sum += cnt[i]; sort(es, es + n - 1); iota(rt, rt + n, 0); fill(sz, sz + n, 1); long long int ans = 0; for (long long int i = (0); i < (n - 1); ++i) { ans = es[i].first; long long int ra = root(es[i].second.first), rb = root(es[i].second.second); sz[ra] += sz[rb]; cnt[ra] += cnt[rb]; rt[rb] = ra; if (sum - cnt[ra] < sz[ra]) break; } cout << ans << '\n'; } int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); cout << fixed << setprecision(10); sss << R"( 4 1 2 1 2 3 2 3 4 3 1 1 1 1 )"; MAIN(); return 0; }
#include <bits/stdc++.h> using namespace std; struct edge { int a, b, v; } e[3010]; int fa[3010], siz[3010], cnt[3010], sum; bool can; bool operator<(edge a, edge b) { return a.v < b.v; } int getfa(int x) { if (fa[x] == x) return x; return fa[x] = getfa(fa[x]); } void merge(int x, int y) { x = getfa(x); y = getfa(y); siz[x] += siz[y]; cnt[x] += cnt[y]; fa[y] = x; if (siz[x] > sum - cnt[x]) can = 0; } int main() { int n, i, ans; scanf("%d", &n); for (i = 1; i < n; i++) scanf("%d%d%d", &e[i].a, &e[i].b, &e[i].v); for (i = 1; i <= n; i++) { scanf("%d", cnt + i); sum += cnt[i]; siz[i] = 1; fa[i] = i; } sort(e + 1, e + n); ans = 0; can = 1; for (i = 1; i < n; i++) { if (can) ans = e[i].v; merge(e[i].a, e[i].b); } printf("%d", ans); }
#include <bits/stdc++.h> using namespace std; const int N = 3005; int n, ans, sum, a[N]; int sz[N], fa[N]; struct edge { int x, y, v; bool operator<(const edge &a) const { return v < a.v; } } e[N]; int get(int x) { return x == fa[x] ? x : fa[x] = get(fa[x]); } int main() { scanf("%d", &n); for (int i = (int)(1); i <= (int)(n - 1); i++) scanf("%d%d%d", &e[i].x, &e[i].y, &e[i].v); sort(e + 1, e + n); for (int i = (int)(1); i <= (int)(n); i++) scanf("%d", &a[i]); for (int i = (int)(1); i <= (int)(n); i++) sz[i] = 1, fa[i] = i, sum += a[i]; for (int i = (int)(1); i <= (int)(n - 1); i++) { ans = e[i].v; int x = get(e[i].x), y = get(e[i].y); fa[x] = y; sz[y] += sz[x]; a[y] += a[x]; if (sz[y] > sum - a[y]) break; } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; inline int read() { int s = 0, w = 1; char c; while (c = getchar(), c > '9' || c < '0') if (c == '-') w = -1; while (c >= '0' && c <= '9') s = s * 10 + c - '0', c = getchar(); return s * w; } const int N = 1e5 + 7; struct edge { int u, t, w; bool operator<(edge a) const { return w < a.w; } } e[N]; int n, sum, ans, can; int X[N], siz[N], fa[N]; int find(int x) { return x == fa[x] ? x : fa[x] = find(fa[x]); } vector<pair<int, int> > V; void merge(int a, int b) { fa[b] = a; siz[a] += siz[b]; X[a] += X[b]; if (siz[a] > sum - X[a]) can = 1; } int main() { n = read(); if (n == 1) return puts("0"), 0; for (int i = 1; i < n; i++) e[i].u = read(), e[i].t = 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; i++) fa[i] = i, siz[i] = 1; for (int i = 1; i < n; i++) { if (can) break; ans = e[i].w; int u = find(e[i].u), t = find(e[i].t); merge(u, t); } printf("%d\n", ans); }
#include <bits/stdc++.h> using i64 = long long; using namespace std; const int nxM = int(1e4); struct edge { int u, v, w; }; bool cmp(const edge &a, const edge &b) { return a.w < b.w; } i64 n, sz[nxM], sum_x[nxM], par[nxM], s, x[nxM]; vector<edge> adj; int find(int u) { if (par[u] != u) par[u] = find(par[u]); return par[u]; } void join(int u, int v) { u = find(u); v = find(v); if (u != v) { sz[u] += sz[v]; sum_x[u] += sum_x[v]; par[v] = u; } } void reset() { for (int i = 1; i <= n; ++i) { par[i] = i; sz[i] = 1; sum_x[i] = x[i]; } } void input() { cin >> n; for (int i = 0; i < n - 1; ++i) { int a, b, c; cin >> a >> b >> c; adj.push_back({a, b, c}); } for (int i = 1; i <= n; ++i) { cin >> x[i]; s += x[i]; } } bool solve(int m) { reset(); for (edge &e : adj) { if (e.w < m) join(e.u, e.v); } for (int i = 1; i <= n; ++i) { if (find(i) == i) { if (sz[i] > s - sum_x[i]) return false; } } return true; } void binary(int l, int r) { while (true) { int m = l + (r - l) / 2; if (l == m || r == m) break; if (solve(m)) l = m; else r = m; } for (int i = r; i >= l; --i) { if (solve(i)) { cout << i << endl; return; } } cout << "0" << endl; } int main() { input(); binary(1, int(1e4)); return 0; }
#include <bits/stdc++.h> using namespace std; struct UF { int par[3005], rank[3005]; int cost[3005]; void init(int n) { for (int i = 0; i < n; i++) { par[i] = i; rank[i] = cost[i] = 0; } } void add(int k, int x) { cost[k] = x; } int find(int x) { if (x == par[x]) return x; return par[x] = find(par[x]); } int unite(int x, int y) { x = find(x); y = find(y); if (x == y) return 0; if (rank[x] < rank[y]) { par[x] = y; cost[y] += cost[x]; return cost[y]; } else { par[y] = x; cost[x] += cost[y]; if (rank[x] == rank[y]) rank[x]++; return cost[x]; } } }; UF uf; vector<pair<int, int> > vec[10005]; int main() { int n; scanf("%d", &n); if (n == 1) { puts("0"); return 0; } for (int i = 0; i < n - 1; i++) { int a, b, c; scanf("%d %d %d", &a, &b, &c); a--; b--; vec[c].push_back(pair<int, int>(a, b)); } uf.init(n + 2); int all = 0; for (int i = 0; i < n; i++) { int a; scanf("%d", &a); all += a; uf.add(i, a + 1); } int ret = 1; for (int i = 1; i < 10005; i++) { int gt = 0; for (int j = 0; j < vec[i].size(); j++) { pair<int, int> p = vec[i][j]; gt = max(gt, uf.unite(p.first, p.second)); } if (gt > all) break; ret = i + 1; } printf("%d\n", ret); return 0; }
#include <bits/stdc++.h> using namespace std; int size[3010], fa[3010], sum[3010], head[10010]; struct node { int x, y, next; } e[3010]; int find(int x) { if (x != fa[x]) fa[x] = find(fa[x]); return fa[x]; } int main() { int n; scanf("%d", &n); for (int i = 1; i < n; i++) { int x, y, w; scanf("%d%d%d", &x, &y, &w); e[i].x = x; e[i].y = y; e[i].next = head[w]; head[w] = i; } int s = 0; for (int i = 1; i <= n; i++) { fa[i] = i; size[i] = 1; scanf("%d", &sum[i]); s += sum[i]; } for (int i = 1; i <= 10000; i++) { int p = head[i]; while (p) { int x = find(e[p].x), y = find(e[p].y); fa[y] = x; size[x] += size[y]; sum[x] += sum[y]; if (size[x] + sum[x] > s) { printf("%d\n", i); return 0; } p = e[p].next; } } puts("0"); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 3000 + 5; struct edge { int u, v, a; bool operator<(const edge& c) const { return a < c.a; } } Set[maxn]; int f[maxn], sz[maxn], out[maxn], 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; template <typename T> inline bool chkmax(T &a, T b) { return a < b ? a = b, 1 : 0; } template <typename T> inline bool chkmin(T &a, T b) { return b < a ? a = b, 1 : 0; } template <typename T> inline T read() { static T _, __; static char c_; for (_ = 0, __ = 1, c_ = getchar(); c_ < '0' || c_ > '9'; c_ = getchar()) if (c_ == '-') __ = -1; for (; c_ >= '0' && c_ <= '9'; c_ = getchar()) _ = (_ << 1) + (_ << 3) + (c_ ^ 48); return _ * __; } const int maxn = 3005; int n, fa[maxn], sz[maxn], in[maxn], sum; pair<int, pair<int, int> > E[maxn]; int find(int x) { return x == fa[x] ? x : fa[x] = find(fa[x]); } int main() { n = read<int>(); for (register int i = (1), i_end_ = (n - 1); i <= i_end_; ++i) E[i].second.first = read<int>(), E[i].second.second = read<int>(), E[i].first = read<int>(); sort(E + 1, E + n); for (register int i = (1), i_end_ = (n); i <= i_end_; ++i) fa[i] = i, sz[i] = 1, sum += in[i] = read<int>(); for (register int i = (1), i_end_ = (n - 1); i <= i_end_; ++i) { int x = find(E[i].second.first), y = find(E[i].second.second); fa[y] = x, sz[x] += sz[y], in[x] += in[y]; if (sum - in[x] < sz[x]) return printf("%d\n", E[i].first), 0; } puts("0"); return 0; }
#include <bits/stdc++.h> using namespace std; int N; pair<int, pair<int, int> > E[3000]; int ans, sum; bool ok = true; struct UnionFind { int par[3000], ra[3000], sz[3000]; void init() { for (int(i) = 0; (i) < (3000); (i)++) par[i] = i, ra[i] = 1; } int find(int x) { return par[x] == x ? x : par[x] = find(par[x]); } void unite(int a, int b) { if ((a = find(a)) != (b = find(b))) { if (ra[a] < ra[b]) swap(a, b); par[b] = a, ra[a] += ra[b]; sz[a] += sz[b]; if (sum - sz[a] < ra[a]) ok = false; } } } uf; int main() { scanf("%d", &N); for (int(i) = 0; (i) < (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--; sort(E, E + N - 1); uf.init(); sum = 0; for (int(i) = 0; (i) < (N); (i)++) scanf("%d", &uf.sz[i]), sum += uf.sz[i]; for (int(i) = 0; (i) < (N); (i)++) ok &= (sum - uf.sz[i] >= 1); if (ok) ans = E[0].first; if (N == 1) { puts("0"); return 0; } int ptr = 0; while (ptr < N - 1) { int tt = E[ptr].first; while (ptr < N - 1 && tt == E[ptr].first) { uf.unite(E[ptr].second.first, E[ptr].second.second); ptr++; } if (ok && ptr <= N - 1) ans = E[min(ptr, N - 2)].first; } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, f = 1, ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } inline void write(int x) { if (x < 0) putchar('-'), x = -x; if (x >= 10) write(x / 10); putchar(x % 10 + '0'); } inline void writeln(int x) { write(x); puts(""); } const int N = 1e5 + 5; struct edge { int u, v, w; } e[N << 1]; int n, m, c[N], Sum; inline void init() { n = read(); for (int i = 1; i < n; i++) { e[i] = (edge){read(), read(), read()}; } for (int i = 1; i <= n; i++) { c[i] = read(); Sum += c[i]; } } inline bool cmp(edge A, edge B) { return A.w < B.w; } int tmp, fa[N], sz[N], sum[N]; int getfa(int x) { return (fa[x] == x) ? x : fa[x] = getfa(fa[x]); } inline void Union(int u, int v) { int p = getfa(u), q = getfa(v); if (p != q) { fa[p] = q; sz[q] += sz[p]; } } inline bool judge(int mid) { for (int i = 1; i <= n; i++) fa[i] = i, sz[i] = c[i]; memset(sum, 0, sizeof sum); tmp = 0; for (int i = 1; i <= m; i++) { if (e[i].w < mid) { tmp = i; Union(e[i].u, e[i].v); } else { break; } } for (int i = 1; i <= n; i++) { fa[i] = getfa(i); sum[fa[i]]++; } for (int i = 1; i <= n; i++) { if (sum[i]) { int other = Sum - sz[i]; if (other < sum[i]) { return 0; } } } return 1; } inline void solve() { if (n == 1) { puts("0"); return; } m = n - 1; sort(e + 1, e + m + 1, cmp); int l = 1, r = 1e9; while (l < r) { int mid = (l + r + 1) >> 1; if (judge(mid)) l = mid; else r = mid - 1; } writeln(l); } int main() { init(); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; inline void read(int &q) { int x = 0, f = 1; char ch; for (ch = getchar(); (ch < '0' || ch > '9') && ch != '-'; ch = getchar()) ; if (ch == '-') { f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = (x << 3) + (x << 1) + ch - '0'; ch = getchar(); } q = x * f; } struct Edge { int x, y, w; } edge[100001]; int n, sum, tot, l, r, mid, flag, Ans; int father[100001], ans[100001], tmp[100001], size[100001], a[100001], x[100001]; int find(int x) { return x == father[x] ? x : father[x] = find(father[x]); } int main() { cin >> n; for (int i = 1; i < n; i++) { read(edge[i].x); read(edge[i].y); read(edge[i].w); tmp[i] = edge[i].w; } for (int i = 1; i <= n; i++) { read(x[i]); tot += x[i]; } sort(tmp + 1, tmp + n); sum = 1; ans[1] = tmp[1]; for (int i = 1; i < n; i++) if (tmp[i] != tmp[i - 1]) { sum++; ans[sum] = tmp[i]; } Ans = l = 1; r = sum; while (l <= r) { flag = 1; mid = (l + r) >> 1; memset(a, 0, sizeof(a)); memset(size, 0, sizeof(size)); for (int i = 1; i <= n; i++) father[i] = i; for (int i = 1; i < n; i++) if (edge[i].w < ans[mid] && find(edge[i].x) != find(edge[i].y)) father[find(edge[i].x)] = find(edge[i].y); for (int i = 1; i <= n; i++) { size[find(i)]++; a[find(i)] += x[i]; } for (int i = 1; i <= n; i++) if (find(i) == i && tot - a[i] < size[i]) { flag = 0; break; } if (flag) { Ans = max(Ans, mid); l = mid + 1; } else r = mid - 1; } cout << ans[Ans]; return 0; }
#include <bits/stdc++.h> using namespace std; int n, hd[3003], nt[6003], nd[6003], wi[6003], t, m[3003], cnt[2][3003], x[3003]; void add(int u, int v, int w) { nt[t] = hd[u]; nd[t] = v; wi[t] = w; hd[u] = t++; } bool vis[3003]; void dfs(int u, int w, int num) { vis[u] = 1; ++cnt[0][num], cnt[1][num] += x[u]; for (int i = hd[u]; ~i; i = nt[i]) { if (wi[i] >= w) continue; int v = nd[i]; if (vis[v]) continue; dfs(v, w, num); } } bool ck(int u) { t = 0, memset(vis, 0, sizeof vis), memset(cnt, 0, sizeof cnt); for (int i = 1; i <= n; ++i) if (!vis[i]) dfs(i, u, ++t); int sum = 0; for (int i = 1; i <= t; ++i) sum += cnt[1][i]; for (int i = 1; i <= t; ++i) if (cnt[0][i] > sum - cnt[1][i]) return 0; return 1; } int main() { memset(hd, -1, sizeof hd); scanf("%d", &n); for (int i = 1, u, v, w; i < n; ++i) { scanf("%d%d%d", &u, &v, &w); add(u, v, w), add(v, u, w), m[i] = w; } sort(m + 1, m + n); for (int i = 1; i <= n; ++i) scanf("%d", &x[i]); int l = 0, r = n, mid; while (l < r - 1) { mid = (l + r) / 2; if (ck(m[mid])) l = mid; else r = mid; } printf("%d", m[l]); }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9 + 10; const int MN = 3e3 + 10; int es[MN], ee[MN], el[MN], f[MN], sum, par[MN], sz[MN], F[MN]; pair<int, int> borobaba[MN]; bool fl; int n; int root(int x) { if (par[x] == x) return x; return par[x] = root(par[x]); } void Union(int x, int y) { x = root(x), y = root(y); if (x == y) return; if (sz[x] < sz[y]) swap(x, y); sz[x] += sz[y]; F[x] += F[y]; par[y] = x; if (sum - F[x] < sz[x]) fl = true; } int main() { cin >> n; for (int i = 0; i < n - 1; ++i) { cin >> es[i] >> ee[i] >> el[i]; --es[i]; --ee[i]; borobaba[i] = pair<int, int>(el[i], i); } for (int i = 0; i < n; ++i) cin >> f[i], sum += f[i], F[i] = f[i], par[i] = i, sz[i] = 1; sort(borobaba, borobaba + n - 1); int ans = 0, cur = 0; while (cur < n - 1) { int Id = borobaba[cur].second; if (!fl) ans = el[Id]; Union(es[Id], ee[Id]); while (cur < n - 1 && el[Id] == borobaba[cur].first) Union(es[borobaba[cur].second], ee[borobaba[cur].second]), cur++; } if (!fl && n > 1) ans = el[borobaba[n - 2].second]; cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n; pair<int, pair<int, int> > q[3333]; int p[3333], sz[3333], kol[3333]; int maxsz, sum = 0, bad = 0; int get(int x) { if (p[x] == x) return x; return p[x] = get(p[x]); } void unite(int x, int y) { x = get(x); y = get(y); maxsz = max(maxsz, sz[x] + sz[y]); sz[x] += sz[y]; kol[x] += kol[y]; if (kol[x] > sum - sz[x]) bad = 1; p[y] = x; } int main() { cin >> n; for (int i = 0; i < n - 1; i++) { scanf("%d%d%d", &q[i].second.first, &q[i].second.second, &q[i].first); q[i].second.first--; q[i].second.second--; } sort(q, q + n - 1); int ans = 0; bad = 0; for (int i = 0; i < n; i++) { p[i] = i; scanf("%d", &sz[i]); kol[i] = 1; sum += sz[i]; } for (int i = 0; i < n; i++) if (kol[i] > sum - sz[i]) bad = 1; if (bad == 0 && n > 1) ans = q[0].first; for (int i = 0; i < n - 1;) { int j = i; while (j < n && q[j].first == q[i].first) { unite(q[j].second.first, q[j].second.second); j++; } i = j; if (bad == 0 && i < n) ans = q[i].first; if (bad) break; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:100000000000000") using namespace std; const long long int INF = 2e9 + 1; vector<vector<pair<int, int> > > g; vector<int> x; vector<vector<int> > comp; int ptr = 0; void dfs(int id, int isc, int need, int p) { comp[isc].push_back(id); for (int i = 0; i < ((int)(g[id]).size()); i++) { int to = g[id][i].first; int d = g[id][i].second; if (p == to) continue; int togo = isc; if (d >= need) { togo = ++ptr; vector<int> cl; comp.push_back(cl); } dfs(to, togo, need, id); } } bool tryans(int ans) { comp.clear(); comp.resize(1); ptr = 0; dfs(0, 0, ans, -1); vector<int> sum((int)(comp).size()); vector<int> used((int)(g).size()); vector<int> val((int)(g).size()); int allsum = 0; for (int i = 0; i < ((int)(comp).size()); i++) { for (int j = 0; j < ((int)(comp[i]).size()); j++) { int id = comp[i][j]; sum[i] += x[id]; } allsum += sum[i]; } set<pair<int, int> > s; for (int i = 0; i < ((int)(comp).size()); i++) { for (int j = 0; j < ((int)(comp[i]).size()); j++) { int id = comp[i][j]; val[id] = allsum - sum[i]; s.insert(make_pair(val[id], id)); } } int taked = 0; for (int i = 0; i < ((int)(comp).size()); i++) { int minus = 0; for (int j = 0; j < ((int)(comp[i]).size()); j++) { int id = comp[i][j]; if (!used[id]) s.erase(s.find(make_pair(val[id], id))); } for (int j = 0; j < ((int)(comp[i]).size()); j++) { int id = comp[i][j]; for (int k = 0; k < (x[id]); k++) { if (s.empty()) break; int to = s.begin()->second; s.erase(s.begin()); used[to]++; taked++; minus++; } } for (int j = 0; j < ((int)(comp[i]).size()); j++) { int id = comp[i][j]; if (!used[id]) { if (!s.empty()) val[id] += minus; s.insert(make_pair(val[id], id)); } } } return taked == (int)(g).size(); } int main() { int n; cin >> n; if (n == 1) { cout << 0; return 0; } g.resize(n); x.resize(n); for (int i = 0; i < (n - 1); i++) { int a, b, c; scanf("%d%d%d", &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++) scanf("%d", &x[i]); int l = 1, r = 10001; while (l != r) { int mid = (l + r + 1) / 2; if (tryans(mid)) l = mid; else r = mid - 1; } cout << l; }
#include <bits/stdc++.h> using namespace std; struct edge { int c, u, v; edge() {} void read() { scanf("%d%d%d", &u, &v, &c), u--, v--; } bool operator<(const edge &rhs) const { return c < rhs.c; } } E[3005]; int n, p[3005], cnt[3005], sum[3005], tot; int find(int u) { return u == p[u] ? u : p[u] = find(p[u]); } int main() { scanf("%d", &n); for (int i = 0; i < n - 1; ++i) E[i].read(); for (int i = 0; i < n; ++i) { scanf("%d", sum + i); cnt[i] = 1, p[i] = i, tot += sum[i]; } sort(E, E + n - 1); int ans = E[0].c; for (int i = 0; i < n - 1; ++i) { bool ok = 1; for (int j = i; j < n - 1; ++j) { if (E[j].c != E[i].c) { ans = E[j].c; i = j - 1; break; } int x = find(E[j].u), y = find(E[j].v); cnt[x] += cnt[y]; sum[x] += sum[y]; p[y] = x; if (cnt[x] > tot - sum[x]) { ok = 0; break; } } if (!ok) break; } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; int root[3001], cat[3001], val[3001], tot[3001], n; int c[3001]; vector<pair<int, int> > adj[3001]; inline int find_root(int u) { if (u == root[u]) return u; return root[u] = find_root(root[u]); } void dfs(int u, int par, int limit) { pair<int, int> e; int i; for (i = 0; i < adj[u].size(); i++) { e = adj[u][i]; if (e.first == par) continue; if (e.second < limit) root[find_root(u)] = find_root(e.first); dfs(e.first, u, limit); } } bool can(int md) { for (int i = 1; i <= n; i++) { root[i] = i; cat[i] = 0; tot[i] = 0; } dfs(1, 0, md); for (int i = 1; i <= n; i++) { root[i] = find_root(i); cat[root[i]]++; tot[root[i]] += c[i]; } int maxL = 1; int sum = 0; for (int i = 1; i <= n; i++) { if (i == root[i]) { sum += tot[i]; if (cat[i] > cat[maxL]) maxL = i; } } return (sum - cat[maxL] >= tot[maxL]); } int main() { int i, u, v, w; scanf("%d", &n); for (i = 0; i < n - 1; i++) { scanf("%d%d%d", &u, &v, &w); adj[u].push_back(make_pair(v, w)); adj[v].push_back(make_pair(u, w)); val[i] = w; } for (int i = 1; i <= n; i++) scanf("%d", c + i); sort(val, val + n - 1); int ed = unique(val, val + n - 1) - val, st = 0; while (ed - st > 1) { int md = ed + st >> 1; if (can(val[md])) st = md; else ed = md; } printf("%d\n", val[st]); return 0; }
#include <bits/stdc++.h> using namespace std; const int MaxN = 1000005; const double eps = 1e-8; const double DINF = 1e100; const int INF = 1000000006; const long long LINF = 1000000000000000005ll; struct Edge { int a, b, c; Edge() {} Edge(int a, int b, int c) : a(a), b(b), c(c) {} } edge[MaxN]; int fa[MaxN]; int n; int get(int x) { if (x == fa[x]) return x; return fa[x] = get(fa[x]); } int x[MaxN]; int size[MaxN]; int sumx[MaxN]; int all = 0; bool check(int w) { for (int i = 1; i <= n; ++i) { fa[i] = i; size[i] = 1; sumx[i] = x[i]; } for (int i = 1; i < n; ++i) { int u = edge[i].a; int v = edge[i].b; int c = edge[i].c; if (c >= w) continue; int a = get(u); int b = get(v); fa[a] = b; size[b] += size[a]; sumx[b] += sumx[a]; } for (int i = 1; i <= n; ++i) if (fa[i] == i) { if (size[i] > all - sumx[i]) return false; } return true; } int main() { scanf("%d", &n); for (int i = 1; i < n; ++i) { int a, b, c; scanf("%d %d %d", &a, &b, &c); edge[i] = Edge(a, b, c); } for (int i = 1; i <= n; ++i) { scanf("%d", x + i); all += x[i]; } int l = 0, r = INF; while (l + 1 < r) { int mid = (l + r) >> 1; if (check(mid)) l = mid; else r = mid; } printf("%d\n", l); return 0; }
#include <bits/stdc++.h> using namespace std; FILE *debug; void setIO(string file = "sample") {} void closeIO() {} template <class T> void read(T &x) { char tmp = 0; T flag = 1, ret = 0; while (tmp != '-' && !isdigit(tmp)) tmp = getchar(); if (tmp == '-') flag = -1, tmp = getchar(); while (isdigit(tmp)) ret *= 10, ret += tmp - '0', tmp = getchar(); x = flag * ret; } long long getint() { long long ret; read<long long>(ret); return ret; } void endline() { fprintf(debug, "\n"); } pair<int, pair<int, int> > v[3010]; int n, times[3010], x[3010], fa[3010], xsum; int gf(int x) { if (x == fa[x]) return x; return gf(fa[x]); } int main(int argc, char *argv[]) { setIO("sample"); int i = 1; n = getint(); for (i = 1; i <= n - 1; ++i) v[i].second.first = getint(), v[i].second.second = getint(), v[i].first = getint(); sort(v + 1, v + n); for (i = 1; i <= n; fa[i] = i, ++i) { times[i] = x[i] = getint(); xsum += x[i]; ++times[i]; } for (i = 1; i <= n - 1; ++i) { times[gf(v[i].second.second)] += times[gf(v[i].second.first)]; fa[gf(v[i].second.first)] = fa[gf(v[i].second.second)]; if (times[gf(v[i].second.second)] > xsum) break; } printf("%d", v[i].first); closeIO(); return EXIT_SUCCESS; }
#include <bits/stdc++.h> using namespace std; struct edg { int s, e, v; bool operator<(const edg& c) const { return v < c.v; } } ba[3333]; int n, xi[3333], par[3333], cnt[3333]; int root(int ix) { while (par[ix]) ix = par[ix]; return ix; } int main() { int i, j, k, sum; scanf("%d", &n); for (i = 0; i < n - 1; i++) scanf("%d%d%d", &ba[i].s, &ba[i].e, &ba[i].v); sort(ba, ba + n - 1); for (i = 1; i <= n; i++) scanf("%d", &xi[i]), cnt[i] = 1; for (i = 0; i < n - 1; i++) { for (j = 1; j <= n; j++) { if (!par[j] && cnt[j] > n / 2) break; } if (j <= n) { sum = 0; for (k = 1; k <= n; k++) { if (root(k) != j) sum += xi[k]; } if (sum < cnt[j]) break; } j = root(ba[i].s), k = root(ba[i].e); if (cnt[j] < cnt[k]) par[j] = k, cnt[k] += cnt[j]; else par[k] = j, cnt[j] += cnt[k]; } printf("%d", ba[i - 1].v); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e6 + 100; struct E { int u, v, w; } e[N * 2]; int siz[N], sum[N], fa[N]; int x[N], xi, book[N], n, ans; int L, R; bool C1(E a, E b) { return a.w < b.w; } int find(int x) { if (fa[x] == x) return x; return fa[x] = find(fa[x]); } bool check(int X) { for (int i = 1; i <= n; i++) fa[i] = i, siz[i] = 1, sum[i] = x[i], book[i] = 0; for (int i = 1; i <= n - 1; i++) { if (e[i].w >= X) break; int dx = find(e[i].u), dy = find(e[i].v); siz[dy] += siz[dx]; siz[dx] = 0; sum[dy] += sum[dx]; sum[dx] = 0; fa[dx] = dy; } for (int i = 1; i <= n; i++) { int dx = find(i); if (book[dx]) continue; book[dx] = 1; if (siz[dx] > xi - sum[dx]) return false; } return true; } int main() { scanf("%d", &n); for (int i = 1; i <= n - 1; i++) scanf("%d%d%d", &e[i].u, &e[i].v, &e[i].w), R = max(R, e[i].w); for (int i = 1; i <= n; i++) scanf("%d", &x[i]), xi += x[i]; sort(e + 1, e + n, C1); while (L <= R) { int mid = (L + R) >> 1; if (check(mid)) ans = mid, L = mid + 1; else R = mid - 1; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxN = 3e3 + 5; struct Edge { int u, v, w; bool operator<(const Edge& t) const { return w < t.w; } } E[maxN]; int f[maxN]; int N; int _sum; int sum[maxN]; int sz[maxN]; int x[maxN]; int get_f(int x) { return f[x] == x ? x : f[x] = get_f(f[x]); } int main() { scanf("%d", &N); for (int i = 1; i <= N - 1; 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]); sum[i] = x[i]; sz[i] = 1; f[i] = i; _sum += x[i]; } sort(E + 1, E + N); int ans = 0; for (int i = 1; i < N; i++) { int u = E[i].u; int v = E[i].v; int fu = get_f(u); int fv = get_f(v); if (sz[fu] + sz[fv] > _sum - sum[fu] - sum[fv]) { ans = E[i].w; break; } f[fu] = fv; sz[fv] += sz[fu]; sum[fv] += sum[fu]; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; int n, fa[3005], siz[3005], p[3005], sum; struct node { int x, y, z; } q[3005]; bool cmpp(node a, node b) { return a.z < b.z; } 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 - 1; i++) scanf("%d%d%d", &q[i].x, &q[i].y, &q[i].z); sort(q + 1, q + n, cmpp); for (int i = 1; i <= n; i++) fa[i] = i, scanf("%d", &p[i]), siz[i] = 1, sum += p[i]; for (int i = 1; i <= n - 1; i++) { int f1 = find(q[i].x), f2 = find(q[i].y); fa[f2] = f1; siz[f1] += siz[f2]; p[f1] += p[f2]; if (siz[f1] > sum - p[f1]) { printf("%d", q[i].z); return 0; } } printf("%d", q[n - 1].z); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 3005; int n, ans, can, all; int f[maxn], siz[maxn], sum[maxn]; pair<int, pair<int, int> > E[maxn]; int getf(int x) { return f[x] ? f[x] = getf(f[x]) : x; } void merge(int x, int y) { x = getf(x), y = getf(y); f[y] = x; siz[x] += siz[y]; sum[x] += sum[y]; if (siz[x] > all - sum[x]) can = 0; } void init() { scanf("%d", &n); for (int i = 1; i < n; i++) scanf("%d%d%d", &E[i].second.first, &E[i].second.second, &E[i].first); sort(E + 1, E + n); for (int i = 1; i <= n; i++) siz[i] = 1, scanf("%d", sum + i), all += sum[i]; } int work() { if (n == 1) return 0; can = 1; for (int i = 1; i <= n; i++) if (siz[i] > all - sum[i]) can = 0; if (can) ans = E[1].first; for (int i = 1, j; i < n && can; i = j) { for (j = i; j < n && E[j].first == E[i].first; j++) merge(E[j].second.first, E[j].second.second); if (can && j < n) ans = E[j].first; } return ans; } int main() { init(); cout << work() << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct node { int x, y, z; } ob[100010]; bool cmp(node a, node b) { return a.z < b.z; } int n, f[100010], size[100010], sum, x[100010]; int find(int x) { if (f[x] == x) return x; return f[x] = find(f[x]); } void ini() { scanf("%d", &n); for (int i = 1; i < n; i++) scanf("%d%d%d", &ob[i].x, &ob[i].y, &ob[i].z); for (int i = 1; i <= n; i++) scanf("%d", &x[i]); sort(ob + 1, ob + n, cmp); for (int i = 1; i <= n; i++) f[i] = i, sum += x[i], size[i] = 1; } int main() { ini(); for (int i = 1; i < n; i++) { int tx = find(ob[i].x); int ty = find(ob[i].y); x[ty] += x[tx]; size[ty] += size[tx]; f[tx] = ty; if (sum - x[ty] < size[ty]) { printf("%d", ob[i].z); return 0; } } printf("0"); return 0; }
#include <bits/stdc++.h> using namespace std; inline char gc() { static char buf[100000], *p1 = buf, *p2 = buf; return p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, 100000, stdin), p1 == p2) ? EOF : *p1++; } inline long long read() { long long x = 0; char ch = getchar(); bool positive = 1; for (; !isdigit(ch); ch = getchar()) if (ch == '-') positive = 0; for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0'; return positive ? x : -x; } inline void write(long long x) { if (x < 0) x = -x, putchar('-'); if (x > 9) write(x / 10); putchar(x % 10 + '0'); } inline void writeln(long long x) { write(x); puts(""); } struct Edge { long long v, w, to; } e[100005 * 2]; struct Node { long long l, r, w; inline bool operator<(const Node& x) const { return w > x.w; } } a[100005]; long long n, l, r, w, x, y, xx, yy, xxx, yyy, cnt, size, root, b[100005], c[100005], f[100005], g[100005], id[100005], fa[100005], dep[100005], num[100005], sum[100005], head[100005]; inline void add(long long u, long long v, long long w) { e[++size].v = v; e[size].to = head[u]; e[size].w = w; head[u] = size; } inline void inc1(long long x, long long k) { while (x <= n) { f[x] += k; x += x & (-x); } return; } inline void inc2(long long x, long long k) { while (x <= n) { g[x] += k; x += x & (-x); } return; } inline long long ask1(long long x) { long long ans = 0; while (x) { ans += f[x]; x -= x & (-x); } return ans; } inline long long ask2(long long x) { long long ans = 0; while (x) { ans += g[x]; x -= x & (-x); } return ans; } inline void dfs(long long u, long long last) { id[u] = ++cnt; num[cnt] = u; fa[u] = last; dep[u] = dep[last] + 1; sum[u] = 1; for (long long i = head[u]; i; i = e[i].to) { long long v = e[i].v; if (v == last) continue; dfs(v, u); sum[u] += sum[v]; } return; } inline void dfs2(long long u, long long last) { inc1(id[u], -b[u]); inc2(id[u], -c[u]); b[u] = c[u] = 0; for (long long i = head[u]; i; i = e[i].to) { long long v = e[i].v; if (v == last) continue; dfs2(v, u); } return; } int main() { n = read(); for (long long i = 1; i < n; i++) { l = read(); r = read(); w = read(); add(l, r, w); add(r, l, w); a[i].l = l; a[i].r = r; a[i].w = w; } dfs(1, 1); for (long long i = 1; i <= n; i++) { b[i] = 1; c[i] = read(); inc1(id[i], b[i]); inc2(id[i], c[i]); } sort(a + 1, a + n); root = 1; x = ask1(cnt); y = ask2(cnt); root = 1; for (long long i = 1; i < n; i++) { l = a[i].l; r = a[i].r; if (!b[l] || !b[r]) continue; if (dep[l] > dep[r]) swap(l, r); xx = ask1(id[r] + sum[r] - 1) - ask1(id[r] - 1); yy = ask2(id[r] + sum[r] - 1) - ask2(id[r] - 1); xxx = ask1(id[root] + sum[root] - 1); yyy = ask2(id[root] + sum[root] - 1); if (xx <= yyy - yy) { x -= xx; x -= min(x, yy); y -= xx; y -= min(y, xx); dfs2(r, fa[r]); } else { for (int j = 1; j < id[r]; j++) { inc1(id[i], -b[i]); inc2(id[i], -c[i]); b[i] = c[i] = 0; } for (int j = id[r] + sum[r]; j <= n; j++) { inc1(id[i], -b[i]); inc2(id[i], -c[i]); b[i] = c[i] = 0; } x -= xxx - xx; x -= min(x, yyy - yy); y -= yyy - yy; y -= min(y, xxx - xx); } if (!x) { writeln(a[i].w); return 0; } } puts("0"); }
#include <bits/stdc++.h> using namespace std; const int N = 5000 + 7; const int M = 1007; const int inf = 1e9 + 7; const long long linf = 1ll * inf * (inf - 1); const double pi = acos(-1); const double eps = 1e-7; const bool multipleTest = 0; vector<pair<pair<int, int>, int> > edge; int r[N], tol[N]; int limit[N]; int n; int get(int u) { return r[u] < 0 ? u : r[u] = get(r[u]); } void unite(int u, int v) { u = ::get(u); v = ::get(v); if (r[u] > r[v]) swap(u, v); r[u] += r[v]; r[v] = u; limit[u] += limit[v]; tol[u] += tol[v]; } void solve() { cin >> n; if (n == 1) { puts("0"); return; } for (int i = (1); i < (n); i++) { int u, v, c; scanf("%d%d%d", &u, &v, &c); edge.push_back(make_pair(make_pair(c, u), v)); } int sum = 0; for (int i = 1; i <= n; ++i) { scanf("%d", limit + i); r[i] = -1; sum += limit[i]; tol[i] = 1; } sort((edge).begin(), (edge).end()); int ans = 0; if (sum >= n && n > 1) ans = edge[0].first.first; int last = edge[0].second; for (int i = 0; i < edge.size(); ++i) { int u = edge[i].first.second, v = edge[i].second; int c = edge[i].first.first; int rr = get(last); if (sum - limit[rr] >= tol[rr] && sum - limit[rr] - tol[rr] + limit[rr] >= n - tol[rr]) { ans = c; } else break; unite(u, v); last = v; } cout << ans << '\n'; } void test() { freopen("in.txt", "w", stdout); for (int i = 0; i < 50000; ++i) { printf("%c", ((rand() % 26) + 'a')); } cout << '\n' << 100000 << '\n'; for (int i = (0); i < (100000); i++) { for (int t = (0); t < ((rand() % 4) + 1); t++) printf("%c", ((rand() % 26) + 'a')); printf(" "); for (int t = (0); t < ((rand() % 4) + 1); t++) printf("%c", ((rand() % 26) + 'a')); printf("\n"); } } int main() { int Test = 1; if (multipleTest) { cin >> Test; } for (int i = 0; i < Test; ++i) { solve(); } }
#include <bits/stdc++.h> int n; int x[4000]; int adj[4000]; int aim[8000], next[8000], weight[8000]; int visit[4000]; int sumx[4000]; int count[4000]; int ans; void dfs(int r, int w, int s) { visit[r] = 1; sumx[s] += x[r]; count[s] += 1; int i = adj[r]; while (i) { if (weight[i] < w && !visit[aim[i]]) dfs(aim[i], w, s); i = next[i]; } } int check(int w) { int flex = 0; for (int i = 0; i < n; ++i) { visit[i] = 0; count[i] = 0; sumx[i] = 0; } for (int i = 0; i < n; ++i) if (!visit[i]) dfs(i, w, i); for (int i = 0; i < n; ++i) flex += sumx[i] - count[i]; for (int i = 0; i < n; ++i) if (count[i] > n / 2) { if (count[i] - flex + sumx[i] - count[i] > (n - flex + sumx[i] - count[i]) / 2) return 0; break; } return 1; } int main() { scanf("%d", &n); int a, b, c; for (int i = 0; i < n - 1; ++i) { scanf("%d %d %d", &a, &b, &c); --a; --b; aim[i * 2 + 1] = b; next[i * 2 + 1] = adj[a]; adj[a] = i * 2 + 1; aim[i * 2 + 2] = a; next[i * 2 + 2] = adj[b]; adj[b] = i * 2 + 2; weight[i * 2 + 1] = weight[i * 2 + 2] = c; } for (int i = 0; i < n; ++i) scanf("%d", &x[i]); int l = 0, r = 10000; int mid; while (r - l > 1) { mid = (l + r) / 2; if (check(mid)) l = mid; else r = mid; } if (check(r)) ans = r; else ans = l; printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; inline long long read() { char ch = getchar(); long long x = 0, f = 1; for (; ch > '9' || ch < '0'; ch = getchar()) if (ch == '-') f = -1; for (; ch >= '0' && ch <= '9'; ch = getchar()) x = (x << 1) + (x << 3) + ch - '0'; return x * f; } struct bian { long long u, v, w; } e[100000 + 10]; inline bool mmp(bian a, bian b) { return a.w < b.w; } long long fa[100000 + 10], size[100000 + 10], val[100000 + 10], n, sum; inline long long find(long long x) { return fa[x] == x ? x : fa[x] = find(fa[x]); } signed main() { n = read(); for (register long long i = 1; i < n; ++i) { e[i].u = read(), e[i].v = read(), e[i].w = read(); } for (register long long i = 1; i <= n; ++i) val[i] = read(), sum += val[i]; for (register long long i = 1; i <= n; ++i) fa[i] = i, size[i] = 1; sort(e + 1, e + n, mmp); for (register long long i = 1; i < n; ++i) { long long fx = find(e[i].u), fy = find(e[i].v); fa[fx] = fy; size[fy] += size[fx]; val[fy] += val[fx]; if (size[fy] > sum - val[fy]) { printf("%lld\n", e[i].w); return 0; } } printf("%lld\n", e[n - 1].w); return 0; }
#include <bits/stdc++.h> using namespace std; inline int Read() { char c = getchar(); int num = 0; while ('0' > c || c > '9') c = getchar(); while ('0' <= c && c <= '9') num = num * 10 + c - '0', c = getchar(); return (num); } struct Edge { int x, y, w; } e[3010]; int lm[3010], sz[3010], fa[3010], n, ans; inline int Get(int x) { if (fa[x] == x) return (x); return (fa[x] = Get(fa[x])); } inline bool Check() { int nm = 0; for (int i = 1; i <= n; i++) if (Get(i) == i) nm += min(n - sz[i], lm[i]); return (nm >= n); } bool Cmpw(Edge a, Edge b) { return (a.w < b.w); } int main() { n = Read(); for (int i = 1; i < n; i++) e[i].x = Read(), e[i].y = Read(), e[i].w = Read(); for (int i = 1; i <= n; i++) lm[i] = Read(), sz[i] = 1, fa[i] = i; sort(e + 1, e + n, Cmpw); for (int i = 1, j = 1; i < n; i = j) { for (; e[i].w == e[j].w; j < n) j++; for (int k = i; k < j; k++) { int fx = Get(e[k].x), fy = Get(e[k].y); sz[fx] += sz[fy], fa[fy] = fx, lm[fx] += lm[fy]; } ans = e[i].w; if (!Check()) break; } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; const int MAXN = 3005; int n, x[MAXN]; vector<pair<int, int> > adj[MAXN]; int t, sze, num, sum; bool vis[MAXN]; void dfs(int cur) { if (vis[cur]) return; vis[cur] = 1; sze++; num += x[cur]; for (int i = 0; i < adj[cur].size(); i++) if (adj[cur][i].second < t) dfs(adj[cur][i].first); } bool check(int mid) { t = mid; memset(vis, 0, sizeof(vis)); for (int i = 0; i < n; i++) if (!vis[i]) { sze = num = 0; dfs(i); if (sze > sum - num) return 0; } return 1; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); if (fopen("input.txt", "r")) freopen("input.txt", "r", stdin); cin >> n; for (int i = 0; i < n - 1; i++) { int a, b, c; cin >> a >> b >> c; a--, b--; adj[a].push_back(pair<int, int>(b, c)); adj[b].push_back(pair<int, int>(a, c)); } for (int i = 0; i < n; i++) { cin >> x[i]; sum += x[i]; } int lo = 0, hi = 10000; while (lo < hi) { int mid = (lo + hi + 1) / 2; if (check(mid)) lo = mid; else hi = mid - 1; } cout << lo << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const double pi = acos(-1); const int inf = 1000000; struct edge { int x, y, k; } e[3100]; int a[3100], n, tot, L[3100], R[3100], C[3100]; vector<int> E[3100]; struct Flow { int next[120000], e[120000], c[120000], head[13000], dis[13000], bfs[13000], len, s, t; Flow() { len = 1; } void reset(int source, int sink) { memset(head, 0, sizeof(head)); s = source; t = sink; len = 1; } void addedge(int x, int y, int k) { next[++len] = head[x]; head[x] = len; e[len] = y; c[len] = k; next[++len] = head[y]; head[y] = len; e[len] = x; c[len] = 0; } bool build() { int l, r, i, x; memset(dis, 0, sizeof(dis)); bfs[l = r = 1] = s; dis[s] = 1; while (l <= r) { x = bfs[l]; for (i = head[x]; i; i = next[i]) if (c[i] && !dis[e[i]]) { dis[e[i]] = dis[x] + 1; bfs[++r] = e[i]; } l++; } return dis[t] != 0; } int dinic(int x, int v) { int flow = 0; if (x == t) return v; for (int i = head[x]; i; i = next[i]) if (c[i] && dis[x] + 1 == dis[e[i]]) { int ff = dinic(e[i], min(v - flow, c[i])); c[i] -= ff; c[i ^ 1] += ff; flow += ff; if (flow == v) return flow; } dis[x] = -1; return flow; } int maxflow() { int ans = 0; while (build()) ans += dinic(s, inf); return ans; } } flow; void col(int x, int fa, int k) { int tmp = a[x]; a[x] = k; for (int i : E[x]) if (i != fa && a[i] == tmp) col(i, x, k); } int main() { scanf("%d", &n); for (int i = 1; i <= n - 1; ++i) { int x, y, k; scanf("%d%d%d", &x, &y, &k); e[i] = {x, y, k}; E[x].push_back(y); E[y].push_back(x); } for (int i = 1; i <= n; ++i) scanf("%d", &C[i]); sort(e + 1, e + n, [](edge x, edge y) { return x.k > y.k; }); tot = 1; for (int i = 1; i <= n; ++i) a[i] = 2; flow.reset(4 * n + 1, 4 * n + 2); for (int i = 1; i <= n - 1; ++i) { int fa = a[e[i].x] / 2, x = ++tot; assert(a[e[i].x] == a[e[i].y]); if (!L[fa]) L[fa] = x; else R[fa] = x; flow.addedge(x, fa, inf); flow.addedge(fa + n, x + n, inf); col(e[i].x, e[i].y, x * 2); col(e[i].y, e[i].x, x * 2 + 1); } for (int i = 1; i <= n; ++i) { int fa = a[i] / 2; if (!L[fa]) L[fa] = 2 * n + i; else R[fa] = 2 * n + i; flow.addedge(2 * n + i, fa, 1); flow.addedge(fa + n, 3 * n + i, inf); flow.addedge(4 * n + 1, 2 * n + i, 1); flow.addedge(3 * n + i, 4 * n + 2, C[i]); } int sum = 0; for (int i = 1; i <= n - 1; ++i) { int x = L[i + 1], y = R[i + 1]; assert(x > 0); assert(y > 0); flow.addedge(x, y + n, inf); flow.addedge(y, x + n, inf); sum += flow.maxflow(); if (sum == n) { printf("%d\n", e[i].k); return 0; } } printf("0\n"); return 0; }
#include <bits/stdc++.h> using namespace std; int n, ds[3001], sz[3001], ot[3001], a, b, c, no, ans, sum; vector<pair<int, pair<int, int> > > v; int get(int x) { if (ds[x] == x) return x; else return ds[x] = get(ds[x]); } void merge(int x, int y) { sz[x] += sz[y]; ds[y] = x; ot[x] += ot[y]; if (sz[x] > sum - ot[x]) no = 1; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n; for (int i = 0; i < n - 1; ++i) { cin >> a >> b >> c; v.push_back(make_pair(c, make_pair(a, b))); } sort(v.begin(), v.end()); for (int i = 1; i <= n; ++i) { cin >> ot[i]; sz[i] = 1; ds[i] = i; sum += ot[i]; } for (int i = 1; i <= n; ++i) if (sz[i] > sum - ot[i]) no = 1; if (!no && n > 1) ans = v[0].first; for (int i = 0; i < v.size();) { int j = i; while (j < v.size() && v[i].first == v[j].first) { merge(get(v[j].second.first), get(v[j].second.second)); ++j; } i = j; if (!no && i < v.size()) ans = v[i].first; } cout << ans << '\n'; }
#include <bits/stdc++.h> using namespace std; int n; struct node { int x, y, v; } d[5200]; inline bool cmp(node a, node b) { return a.v < b.v; } int fa[5200], sz[5200], sum[5200], SUM; inline int getroot(int x) { if (fa[x] == x) return x; return fa[x] = getroot(fa[x]); } int main() { ios::sync_with_stdio(false); cin >> n; for (int i = 1; i < n; i++) { cin >> d[i].x >> d[i].y >> d[i].v; } for (int i = 1; i <= n; i++) cin >> sum[i], SUM += sum[i]; sort(d + 1, d + n, cmp); for (int i = 1; i <= n; i++) fa[i] = i, sz[i] = 1; int last = 0; for (int i = 1; i < n; i++) { last = d[i].v; if (SUM - (sum[getroot(d[i].x)] + sum[getroot(d[i].y)]) < sz[getroot(d[i].x)] + sz[getroot(d[i].y)]) { ; break; } else sum[getroot(d[i].x)] += sum[getroot(d[i].y)], sz[getroot(d[i].x)] += sz[getroot(d[i].y)], fa[getroot(d[i].y)] = fa[getroot(d[i].x)]; } cout << last << endl; }
#include <bits/stdc++.h> using namespace std; const int N = 3e3 + 77, Mod = 1e9 + 7; int n, p[N], x[N], A, sum; int find(int v) { return p[v] < 0 ? v : (p[v] = find(p[v])); } bool merge(int v, int u) { v = find(v); u = find(u); p[v] += p[u]; x[v] += x[u]; p[u] = v; return sum - x[v] < -p[v]; } vector<pair<int, pair<int, int> > > E; int main() { fill(p, p + N, -1); ios_base::sync_with_stdio(false); cin.tie(0); cin >> n; for (int i = 1; i < n; i++) { int v, u, w; cin >> v >> u >> w; E.push_back(make_pair(w, make_pair(v, u))); } for (int i = 1; i <= n; i++) { cin >> x[i]; sum += x[i]; } sort(E.begin(), E.end()); for (auto s : E) { int u = find(s.second.first), v = find(s.second.second), w = s.first; A = w; if (merge(u, v)) break; } cout << A; }
#include <bits/stdc++.h> using namespace std; const int N = 1.1e6; int s[N], t[N], w[N], p[N], n, m, a[N], fa[N], sz[N], sum; int cmp(int x, int y) { return w[x] < w[y]; } int fd(int x) { return x == fa[x] ? x : fa[x] = fd(fa[x]); } int main() { cin >> n; m = n - 1; for (int i = 1, x, y, z; i <= m; i++) { scanf("%d%d%d", &x, &y, &z); s[i] = x, t[i] = y, w[i] = z; p[i] = i; } sort(p + 1, p + m + 1, cmp); int sum = 0; for (int i = 1; i <= n; i++) scanf("%d", &a[i]), fa[i] = i, sz[i] = 1, sum += a[i]; for (int i = 1, x, y, z; i <= m; i++) { x = s[p[i]], y = t[p[i]], z = w[p[i]]; if (rand() % 2) swap(x, y); x = fd(x), y = fd(y); sz[y] += sz[x]; a[y] += a[x]; fa[x] = y; if (sz[y] > sum - a[y] || i == m) return cout << z, 0; } puts("0"); }
#include <bits/stdc++.h> using namespace std; const int inf = ~0U >> 1; const long long INF = (long long)1e18; const double pi = acos(-1.0); template <class T> inline T sqr(T a) { return a * a; } template <class T> inline T min(T a, T b, T c) { return min(min(a, b), c); } template <class T> inline T max(T a, T b, T c) { return max(max(a, b), c); } template <class T> inline void read(T &n) { char c; for (c = getchar(); !(c >= '0' && c <= '9'); c = getchar()) ; n = c - '0'; for (c = getchar(); c >= '0' && c <= '9'; c = getchar()) n = n * 10 + c - '0'; } int pw(int base, int n, int mo) { if (n == 0) return 1; if (n == 1) return base; int tmp = pw(base, n >> 1, mo); tmp = (long long)tmp * tmp % mo; if (n & 1) tmp = (long long)tmp * base % mo; return tmp; } const int maxn = 3200; int N, lim[maxn], f[maxn], x[maxn], y[maxn], w[maxn], sum[maxn], size[maxn], S; vector<pair<int, int> > E[maxn]; int find(int x) { return (f[x] == x) ? x : (f[x] = find(f[x])); } int check(int K) { for (int i = (1); i <= (N); ++i) f[i] = i, size[i] = sum[i] = 0; for (int i = (1); i <= (N - 1); ++i) if (w[i] < K) f[find(x[i])] = find(y[i]); for (int i = (1); i <= (N); ++i) f[i] = find(f[i]); for (int i = (1); i <= (N); ++i) size[f[i]]++, sum[f[i]] += lim[i]; for (int i = (1); i <= (N); ++i) if (size[i] > S - sum[i]) return 0; return 1; } int main() { scanf("%d", &N); for (int i = (1); i <= (N - 1); ++i) scanf("%d%d%d", &x[i], &y[i], &w[i]); for (int i = (1); i <= (N); ++i) scanf("%d", &lim[i]), S += lim[i]; int l = 0, r = 20000; while (l + 1 < r) { int m = l + r >> 1; if (check(m)) l = m; else r = m; } while (!check(l) && l) l--; while (check(l + 1)) l++; printf("%d\n", l); return 0; }
#include <bits/stdc++.h> struct nod { int v, k; } d[1111111]; struct edg { int x, y, l; } e[1111111]; bool operator<(const edg x, const edg y) { return x.l < y.l; } nod operator+(nod x, nod y) { x.v += y.v, x.k += y.k; return x; } int n, fa[1111111]; int rt(int x) { return fa[x] ? fa[x] = rt(fa[x]) : x; } int main() { scanf("%d", &n); if (n == 1) return puts("0"), 0; register int i; for (i = 1; i < n; i++) scanf("%d%d%d", &e[i].x, &e[i].y, &e[i].l); std::sort(e + 1, e + n); int S = 0; for (i = 1; i <= n; i++) scanf("%d", &d[i].v), d[i].k = 1, S += d[i].v; for (i = 1; i < n; i++) { int a = rt(e[i].x), b = rt(e[i].y); fa[a] = b, d[b] = d[a] + d[b]; if (d[b].k + d[b].v > S) return printf("%d\n", e[i].l), 0; } }
#include <bits/stdc++.h> using namespace std; struct arr { int x, y, z; } a[6005]; int n, sum = 0, mx[3005], fa[3005], sz[3005]; inline bool cmp(arr A, arr B) { return A.z < B.z; } inline int find(int x) { return (fa[x] == x) ? x : fa[x] = find(fa[x]); } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) fa[i] = i, sz[i] = 1; int x, y, z; for (int i = 1; i < n; i++) scanf("%d%d%d", &a[i].x, &a[i].y, &a[i].z); for (int i = 1; i <= n; i++) scanf("%d", &mx[i]), sum += mx[i]; sort(a + 1, a + n, cmp); for (int i = 1; i < n; i++) { int fx = find(a[i].x); int fy = find(a[i].y); if (fx == fy) continue; fa[fy] = fx; sz[fx] += sz[fy]; mx[fx] += mx[fy]; if (sz[fx] > sum - mx[fx]) { printf("%d\n", a[i].z); return 0; } } printf("%d\n", a[n - 1].z); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e6 + 100; int p[MAXN]; int root(int a) { if (p[a] < 0) return a; return p[a] = root(p[a]); } void merg(int a, int b) { a = root(a), b = root(b); p[a] += p[b]; p[b] = a; } int d1[MAXN], d2[MAXN]; bool calc(int n) { int sum = 0; for (int i = 0; i < n; i++) sum += d2[i]; if (sum < n) return false; for (int i = 0; i < n; i++) if (d1[i] > sum - d2[i]) return false; return true; } int a[MAXN]; vector<pair<pair<int, int>, int>> e; bool check(int k, int n) { fill(p, p + n, -1); for (auto edge : e) { int x = edge.first.first, y = edge.first.second; int w = edge.second; if (w < k) merg(x, y); } fill(d2, d2 + n, 0); for (int i = 0; i < n; i++) { d1[i] = max(0, -p[i]); d2[root(i)] += a[i]; } return calc(n); } int32_t main() { int n; cin >> n; for (int i = 1; i < n; i++) { int x, y, z; cin >> x >> y >> z; x--; y--; e.push_back({{x, y}, z}); } for (int i = 0; i < n; i++) cin >> a[i], d2[i] = a[i]; fill(d1, d1 + n, 1); if (!calc(n)) return cout << "0\n", 0; int l = 1; int r = 1e9; while (r - l > 1) { int mid = (r + l) / 2; if (check(mid, n)) l = mid; else r = mid; } cout << l; }
#include <bits/stdc++.h> using namespace std; constexpr int MAXN = 3e3 + 4; constexpr int MAXA = 2e3 + 5; constexpr int MOD = 1e9 + 7; constexpr long long INF = 1e18; constexpr int LOG = 40; int n, a[MAXN], b[MAXN], c[MAXN], x[MAXN], par[MAXN], s[MAXN], mx, idx; vector<int> vc; int get_par(int u) { return (par[u] < 0 ? u : par[u] = get_par(par[u])); } void merge(int u, int v) { if ((u = get_par(u)) == (v = get_par(v))) { return; } if (par[u] > par[v]) { swap(u, v); } par[u] += par[v]; s[u] += s[v]; par[v] = u; if (-par[u] > mx) { mx = -par[u]; idx = u; } } bool Check(int y) { memset(par, -1, sizeof par); for (int i = 1; i <= n; i++) { s[i] = x[i]; } mx = 1, idx = 1; for (int i = 1; i <= n; i++) { if (c[i] < y) { merge(a[i], b[i]); } } if (mx <= n / 2) { return true; } int sum = 0; for (int i = 1; i <= n; i++) { if (par[i] < 0 && i != idx) { sum += s[i] + par[i]; } } int tmp = mx - (n - mx); if (tmp <= sum) { return true; } return false; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n; for (int i = 1; i < n; i++) { cin >> a[i] >> b[i] >> c[i]; vc.push_back(c[i]); } for (int i = 1; i <= n; i++) { cin >> x[i]; } sort(vc.begin(), vc.end()); int l = 0, r = 0; if (!vc.empty()) { l = vc[0], r = vc.back() + 1; } while (l + 1 < r) { 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 long long maxn = 3e3 + 100; const long long mod = 1e9 + 7; const long long inf = 1e18; long long n, dsu[maxn], sz[maxn], t[maxn], a[maxn], mx, s, ans; pair<long long, pair<long long, long long> > e[maxn]; void init() { mx = 0; for (long long i = 1; i <= n; i++) { dsu[i] = i; sz[i] = 1; t[i] = a[i] + sz[i]; mx = max(mx, t[i]); } } long long root(long long v) { if (dsu[v] == v) return v; return root(dsu[v]); } bool Union(long long v, long long u) { long long x = root(v), y = root(u); if (x == y) return 1; if (sz[x] < sz[y]) swap(x, y); sz[x] += sz[y]; t[x] += t[y]; mx = max(mx, t[x]); dsu[y] = x; return 0; } bool isval(long long x) { init(); for (long long i = 0; i < n - 1; i++) { if (e[i].first < x) { Union(e[i].second.first, e[i].second.second); } } return (mx <= s); } int main() { long long v, u, c; ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); ; cin >> n; for (long long i = 0; i < n - 1; i++) { cin >> e[i].second.first >> e[i].second.second >> e[i].first; } for (long long i = 1; i <= n; i++) { cin >> a[i]; s += a[i]; } long long l = 0, r = 2e4, mid; while (r - l > 1) { mid = (l + r) / 2; if (isval(mid)) l = mid; else r = mid; } cout << l; return 0; }
#include <bits/stdc++.h> using namespace std; long long n, S; vector<vector<pair<long long, long long> > > g; vector<long long> p; vector<long long> comp; void dfs(long long v, long long c, long long x) { comp[v] = c; for (long long i = 0; i < g[v].size(); i++) { if (comp[g[v][i].first] == -1 && g[v][i].second < x) { dfs(g[v][i].first, c, x); } } } bool check(long long x) { comp.assign(n, -1); long long nComp = 0; for (long long i = 0; i < n; i++) { if (comp[i] == -1) { dfs(i, nComp, x); nComp++; } } vector<long long> sizes(nComp), sums(nComp); for (long long i = 0; i < n; i++) { sizes[comp[i]]++; sums[comp[i]] += p[i]; } for (long long i = 0; i < nComp; i++) { if (sizes[i] + sums[i] > S) return false; } return true; } int main() { ios_base::sync_with_stdio(0); cin.tie(); cout.tie(); cin >> n; g.resize(n); p.resize(n); for (long long i = 0; i < n - 1; i++) { long long a, b, c; cin >> a >> b >> c; a--, b--; g[a].push_back({b, c}); g[b].push_back({a, c}); } for (long long i = 0; i < n; i++) cin >> p[i], S += p[i]; long long l = 0, r = 1; while (check(r)) r *= 2; while (l + 1 <= r) { long long m = (l + r + 1) / 2; if (check(m)) l = m; else r = m - 1; } cout << l << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int tot, N, t[3009], mx[3009], L[3009]; bool ok = 1; pair<int, pair<int, int> > edge[3009]; int tata(int x) { if (t[x] == x) return x; return t[x] = tata(t[x]); } void unite(int x, int y) { x = tata(x), y = tata(y); L[x] += L[y]; mx[x] += mx[y]; if (tot - mx[x] < L[x]) ok = 0; t[y] = x; } int main() { scanf("%d", &N); if (N == 1) { printf("0\n"); return 0; } for (int i = 1; i < N; i++) scanf("%d %d %d", &edge[i].second.first, &edge[i].second.second, &edge[i].first); sort(edge + 1, edge + N); for (int i = 1; i <= N; i++) { scanf("%d", &mx[i]); t[i] = i; L[i] = 1; tot += mx[i]; } ok = 1; int ans = edge[1].first; for (int i = 1; i < N;) { int j = i; while (edge[j].first == edge[i].first && j < N) unite(edge[j].second.first, edge[j].second.second), j++; if (ok) ans = edge[j].first; i = j; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; int n, x[5000], sum, fa[5000], size[5000]; struct node { int to, u, 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].to, &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].to); 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; inline long long read() { long long x = 0, f = 1, ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } inline void write(long long x) { if (x < 0) putchar('-'), x = -x; if (x >= 10) write(x / 10); putchar(x % 10 + '0'); } inline void writeln(long long x) { write(x); puts(""); } inline void write_p(long long x) { write(x); putchar(' '); } const int N = 200005; int n, xx[N], sz[N], Fa[N], vis[N], cnt, poi[N], nxt[N], head[N], top; struct node { int x, y, v; } e[N]; inline bool cmp(node x, node y) { return x.v < y.v; } pair<int, int> q[N]; inline void add(int x, int y) { poi[++cnt] = y; nxt[cnt] = head[x]; head[x] = cnt; poi[++cnt] = x; nxt[cnt] = head[y]; head[y] = cnt; } inline pair<int, int> Dfs(int x, int fa) { vis[x] = 1; pair<int, int> tmp = make_pair(1, xx[x]); for (int i = head[x]; i; i = nxt[i]) { if (poi[i] == fa) continue; pair<int, int> las = Dfs(poi[i], x); tmp.first += las.first; tmp.second += las.second; } return tmp; } inline bool check(int line) { for (int i = 1; i <= n; ++i) head[i] = 0; cnt = 0; for (int i = 1; i <= n - 1; ++i) if (e[i].v < line) add(e[i].x, e[i].y); else break; for (int i = 1; i <= n; ++i) vis[i] = 0; top = 0; int sum = 0; for (int i = 1; i <= n; ++i) if (!vis[i]) q[++top] = Dfs(i, i), sum += (q[top].second); pair<int, int> tmp = make_pair(0, 0); for (int i = 1; i <= n; ++i) if (q[i] > tmp) tmp = q[i]; if (tmp.first > sum - tmp.second) return 0; else return 1; } int main() { n = read(); for (int i = 1; i <= n - 1; ++i) e[i].x = read(), e[i].y = read(), e[i].v = read(); for (int i = 1; i <= n; ++i) xx[i] = read(); sort(e + 1, e + n, cmp); int l = 1, r = 1e9, ans = 0; while (l <= r) { int mid = l + r >> 1; if (check(mid)) ans = mid, l = mid + 1; else r = mid - 1; } writeln(ans); }
#include <bits/stdc++.h> using namespace std; template <class T> inline T sqr(T x) { return x * x; } template <class T> inline string tostr(const T& x) { stringstream ss; ss << x; return ss.str(); } inline long long parse(const string& s) { stringstream ss(s); long long x; ss >> x; return x; } const double EPS = 1e-9; const int INF = 1000 * 1000 * 1000; const char CINF = 102; const long long LINF = INF * 1ll * INF; const double DINF = 1e200; const double PI = 3.1415926535897932384626433832795l; int gcd(int a, int b) { return a ? gcd(b % a, a) : b; } long long gcd(long long a, long long b) { return a ? gcd(b % a, a) : b; } long long powmod(long long a, long long p, long long m) { long long r = 1; while (p) { if (p & 1) r = r * a % m; p >>= 1; a = a * a % m; } return r; } vector<vector<pair<int, int> > > gr; vector<char> was; vector<long long> W; pair<int, long long> dfs(int v, int e0) { if (was[v]) return make_pair(0, 0); was[v] = true; pair<int, long long> r(1, W[v]); for (int i = 0; i < (((int)(gr[v]).size())); ++i) { if (gr[v][i].second >= e0) continue; int p = gr[v][i].first; auto t = dfs(p, e0); r.first += t.first; r.second += t.second; } return r; } bool check(int e0) { was.assign(((int)(gr).size()), 0); vector<pair<int, long long> > A; long long s = 0; for (int i = 0; i < (((int)(gr).size())); ++i) { if (!was[i]) { A.push_back(dfs(i, e0)); s += A.back().second; } } for (int i = 0; i < (((int)(A).size())); ++i) { if (A[i].first > s - A[i].second) return false; } return true; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n; cin >> n; gr.resize(n); vector<int> es; for (int i = 0; i < (n - 1); ++i) { int a, b, c; cin >> a >> b >> c; --a; --b; gr[a].push_back(make_pair(b, c)); gr[b].push_back(make_pair(a, c)); es.push_back(c); } W.resize(n); for (int i = 0; i < (n); ++i) { cin >> W[i]; } sort((es).begin(), (es).end()); es.erase(unique((es).begin(), (es).end()), es.end()); int a = 0, b = ((int)(es).size()); while (b > a + 1) { int c = (a + b) / 2; if (check(es[c])) a = c; else b = c; } cout << (((int)(es).size()) ? es[a] : 0); return 0; }
#include <bits/stdc++.h> const int inf = (1ll << 31) - 1; using namespace std; int n; int a[3300]; vector<pair<int, int> > v[3300]; int p[3300], sz[3300], sum[3300]; int aa = 0; int cnt = 1; void dfs(int x, int y, int num) { for (int i = 0; i < v[x].size(); i++) { int to = v[x][i].first; if (to == y) continue; if (p[to] == p[x]) dfs(to, x, num); } p[x] = num; sum[num] += a[x]; sz[num]++; } vector<pair<int, pair<int, int> > > ans; bool check() { for (int i = 0; i < cnt; i++) { if (sz[i] > aa - sum[i]) return false; } return true; } int main() { ios_base::sync_with_stdio(false); cin >> n; for (int i = 1; i < n; i++) { int x, y, c; cin >> x >> y >> c; x--; y--; v[x].push_back(make_pair(y, c)); v[y].push_back(make_pair(x, c)); ans.push_back(make_pair(c, make_pair(x, y))); } for (int i = 0; i < n; i++) { cin >> a[i]; aa += a[i]; } sort(ans.begin(), ans.end()); reverse(ans.begin(), ans.end()); for (int i = 0; i < ans.size(); i++) { sz[p[ans[i].second.second]] = 0; sum[p[ans[i].second.second]] = 0; dfs(ans[i].second.second, ans[i].second.first, p[ans[i].second.second]); dfs(ans[i].second.first, ans[i].second.second, cnt); cnt++; if (check()) { cout << ans[i].first << endl; return 0; } } cout << 0 << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 12010, inf = int(1e9), V = 100010, E = 500010; int n, n0, i, j, k, l, r, p, x, y, z, L, X[N], o[N]; struct FlowG { int S, T, N, edge, e[E], b[E], c[E], fir[V], last[V], vh[V], h[V], cur[V], pre[V]; void clear() { edge = 1; memset(fir, 0, sizeof(fir)); } void add2(int x, int y, int z) { e[++edge] = y; c[edge] = z; b[edge] = fir[x]; fir[x] = edge; } void add(int x, int y, int z) { add2(x, y, z); add2(y, x, 0); } int sap() { int i, k, p, flow, minh, ans = 0; memset(h, 0, sizeof(h)); memset(vh, 0, sizeof(vh)); vh[0] = N; memcpy(cur, fir, sizeof(fir)); memset(pre, 0, sizeof(pre)); pre[S] = S; for (i = S; h[S] < N;) { if (i == T) { flow = inf; for (p = S; p != T; p = e[cur[p]]) flow = min(flow, c[cur[p]]); ans += flow; for (p = S; p != T; p = e[cur[p]]) c[cur[p]] -= flow, c[cur[p] ^ 1] += flow; i = S; } for (k = cur[i]; k; k = b[k]) if (c[k] && h[e[k]] + 1 == h[i]) { cur[i] = k; pre[e[k]] = i; i = e[k]; break; } if (!k) { if (--vh[h[i]] == 0) break; cur[i] = fir[i]; minh = N; for (k = cur[i]; k; k = b[k]) if (c[k]) minh = min(minh, h[e[k]] + 1); ++vh[h[i] = minh]; i = pre[i]; } } return ans; } } F; struct graph { int edge, fir[N], e[N], b[N], w[N]; bool done[N]; int fa[N], fae[N], sz[N], ms[N], st[N], st1[N], st2[N]; void clear() { edge = 1; memset(fir, 0, sizeof(fir)); } void add2(int x, int y, int z) { e[++edge] = y; w[edge] = z; b[edge] = fir[x]; fir[x] = edge; } void add(int x, int y, int z) { add2(x, y, z); add2(y, x, z); } int dfs(int i, int f, int ma) { st[++st[0]] = i; fa[i] = f; sz[i] = 1; ms[i] = ma; for (int k = fir[i]; k; k = b[k]) if (!done[k] && e[k] != f) fae[e[k]] = k, sz[i] += dfs(e[k], i, max(ma, w[k])); return sz[i]; } void fadd() { int t1 = ++F.N; for (int p = (1); p <= (st1[0]); p++) F.add(st1[p], t1, inf); for (int p = (1); p <= (st2[0]); p++) if (ms[st2[p]] >= L) F.add(t1, n + st2[p], inf); int t2 = ++F.N; for (int p = (1); p <= (st1[0]); p++) if (ms[st1[p]] >= L) F.add(st1[p], t2, inf); for (int p = (1); p <= (st2[0]); p++) F.add(t2, n + st2[p], inf); } void fun(int r) { st[0] = 0; int sz0 = dfs(r, 0, 0), best = N, A, B, O, p; if (sz0 <= 1) return; for (p = 2; p <= st[0]; p++) { int i = st[p], tt; if ((tt = max(sz0 - sz[i], sz[i])) < best) best = tt, A = i, B = fa[i], O = fae[i]; } done[O] = done[O ^ 1] = 1; st[0] = 0; dfs(A, 0, w[O]); for (i = 0; i <= st[0]; i++) st1[i] = st[i]; st[0] = 0; dfs(B, 0, w[O]); for (i = 0; i <= st[0]; i++) st2[i] = st[i]; fadd(); for (i = 0; i <= sz0; i++) swap(st1[i], st2[i]); fadd(); fun(A); fun(B); } bool ok() { F.clear(); F.S = 2 * n + 1; F.N = F.T = 2 * n + 2; for (int i = (1); i <= (n0); i++) F.add(F.S, i, 1); for (int i = (1); i <= (n0); i++) F.add(n + i, F.T, X[i]); memset(done, 0, sizeof(done)); fun(1); return F.sap() == n0; } } H; struct ori { vector<int> e[N], ew[N]; int li[N], lw[N]; void adde(int x, int y, int z) { e[x].push_back(y); ew[x].push_back(z); } void work(int x, int y, int f) { if (x == y) { H.add(f, li[x], lw[x]); return; } int nod = ++n; H.add(f, nod, 0); work(x, (x + y) / 2, nod); work((x + y) / 2 + 1, y, nod); } void bui(int i, int f) { li[0] = 0; for (int k = 0; k < e[i].size(); k++) if (e[i][k] != f) li[++li[0]] = e[i][k], lw[li[0]] = ew[i][k]; if (li[0]) work(1, li[0], i); for (int k = 0; k < e[i].size(); k++) if (e[i][k] != f) bui(e[i][k], i); } } G; int main() { scanf("%d", &n); n0 = n; for (i = 1; i <= n - 1; i++) scanf("%d%d%d", &x, &y, &z), G.adde(x, y, z), G.adde(y, x, z), o[i] = z; for (i = 1; i <= n; i++) scanf("%d", &X[i]); sort(o + 1, o + 1 + (n - 1)); o[0] = 1; for (i = 2; i <= n - 1; i++) if (o[i] != o[i - 1]) o[++o[0]] = o[i]; H.clear(); G.bui(1, 0); for (l = 1, r = o[0]; l < r;) { int mid = (l + r + 1) / 2; L = o[mid]; if (H.ok()) l = mid; else r = mid - 1; } printf("%d\n", o[l]); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, w = 0; char c = getchar(); while (!isdigit(c)) w |= c == '-', c = getchar(); while (isdigit(c)) x = (x << 3) + (x << 1) + (c ^ 48), c = getchar(); return w ? -x : x; } namespace star { const int maxn = 1e5 + 10; int n, m; int ecnt, head[maxn], nxt[maxn << 1], to[maxn << 1], v[maxn], mid; inline void addedge(int a, int b, int c) { to[++ecnt] = b, nxt[ecnt] = head[a], head[a] = ecnt; v[ecnt] = c; to[++ecnt] = a, nxt[ecnt] = head[b], head[b] = ecnt; v[ecnt] = c; } int siz[maxn], fsiz[maxn]; long long sum[maxn], fsum[maxn]; void dfs(int x, int f) { siz[x] = 1; for (int i = head[x]; i; i = nxt[i]) { int u = to[i]; if (u == f) continue; dfs(u, x); siz[x] += siz[u]; sum[x] += sum[u]; } } bool ok; void dfs1(int x, int top, int fa) { for (int i = head[x]; i; i = nxt[i]) { int u = to[i]; if (u == fa) continue; if (v[i] >= mid) dfs1(u, u, x), fsiz[top] -= siz[u], fsum[top] += sum[u]; else dfs1(u, top, x); } if (x == top) { if ((sum[1] - sum[x]) + fsum[x] < 1LL * fsiz[x]) ok = 0; } } inline bool check() { ok = 1; memcpy(fsiz, siz, sizeof fsiz); memset(fsum, 0, sizeof fsum); dfs1(1, 1, 1); return ok; } inline void work() { n = read(); int l = 0, r = 0, ans = 0; for (int a, b, c, i = 1; i < n; i++) a = read(), b = read(), c = read(), r = max(r, c), addedge(a, b, c); for (int i = 1; i <= n; i++) sum[i] = read(); dfs(1, 1); while (l <= r) { mid = l + r >> 1; if (check()) ans = mid, l = mid + 1; else r = mid - 1; } printf("%d", ans); } } // namespace star signed main() { star::work(); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3010; struct node { int x, y, z; } e[N]; bool cmp(node x, node y) { return x.z < y.z; } int x[N], fa[N], siz[N], siz2[N]; int fid(int x) { if (x == fa[x]) return x; return fa[x] = fid(fa[x]); } int read() { int x = 0, f = 1; char c = 0; for (; !isdigit(c); c = getchar()) if (c == '-') f = -1; for (; isdigit(c); c = getchar()) x = x * 10 + c - 48; return x * f; } int main() { int n = read(), sum = 0; for (int i = 1; i < n; i++) e[i] = (node){read(), read(), read()}; for (int i = 1; i <= n; i++) { x[i] = read(); fa[i] = i, siz[i] = 1; siz2[i] = x[i]; sum += x[i]; } sort(e + 1, e + n, cmp); for (int i = 1; i < n; i++) { int x = e[i].x, y = e[i].y; int fx = fid(x), fy = fid(y); if (fx == fy) continue; if (siz[fx] > siz[fy]) swap(fx, fy); fa[fx] = fy; siz[fy] += siz[fx]; siz2[fy] += siz2[fx]; if (sum - siz2[fy] < siz[fy]) { cout << e[i].z << "\n"; return 0; } } cout << e[n - 1].z << "\n"; return 0; }
#include <bits/stdc++.h> const int N = 100010; using namespace std; int n, head[N], k = 0, w[N], kp[N]; long long size[N], sum = 0; struct M { int to, next, val; } edge[N * 2]; void build(int x, int y, int z) { edge[++k].next = head[x]; edge[k].to = y; edge[k].val = z; head[x] = k; } void find(int x, int f) { size[x] = w[x]; kp[x] = 1; for (int i = head[x]; i; i = edge[i].next) { int v = edge[i].to; if (v == f) continue; find(v, x); size[x] += size[v]; kp[x] += kp[v]; } } void dfs(int x, int f, int lp) { for (int i = head[x]; i; i = edge[i].next) { int v = edge[i].to; if (v == f) continue; if (edge[i].val >= lp) { if (size[v] <= kp[1] - kp[v]) { sum += size[v] + kp[v]; continue; } else sum += size[1] - size[v] + (kp[1] - kp[v]), dfs(v, x, lp); } else dfs(v, x, lp); } } bool check(int lp) { sum = 0; dfs(1, 1, lp); return sum >= n; } int main() { int x, y, z, l = 1e9, r = 0, ans = 0; scanf("%d", &n); for (int i = 1; i < n; i++) { scanf("%d%d%d", &x, &y, &z); build(x, y, z), build(y, x, z); l = min(l, z), r = max(r, z); } for (int i = 1; i <= n; i++) scanf("%d", &w[i]); find(1, 1); while (l <= r) { int mid = (l + r) / 2; if (check(mid)) ans = mid, l = mid + 1; else r = mid - 1; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const long long MOD = 1e9 + 7; const long long MAXN = 2e4 + 30; const long long MINN = 1e3 + 20; const long long MOD2 = 998244353ll; const long long INF = 74592896151251; const long double EPS = 1e-9; long long GCD(long long a, long long b) { return (b ? GCD(b, a % b) : a); } long long POW(long long a, long long b) { return (!b ? 1 : POW(a, b / 2) * POW(a, b / 2) * (b % 2 ? a : 1)); } long long X[MAXN], Par[MAXN], SZ[MAXN], n, Sum; struct Edge { long long u, v, w; } E[MAXN]; inline void input() { cin >> n; for (int i = 0; i < n - 1; i++) cin >> E[i].u >> E[i].v >> E[i].w; for (int i = 1; i <= n; i++) cin >> X[i], Sum += X[i]; } inline long long Find(long long v) { if (v == Par[v]) return v; return (Par[v] = Find(Par[v])); } inline void Union(long long u, long long v) { v = Find(v); u = Find(u); if (u == v) return; Par[v] = u; SZ[u] += SZ[v]; X[u] += X[v]; } bool CMP(Edge x, Edge y) { return (x.w < y.w); } inline void Pre_Process() { for (int i = 1; i <= n; i++) Par[i] = i, SZ[i] = 1; } inline int Main() { input(); Pre_Process(); sort(E, E + n - 1, CMP); for (int i = 0; i < n - 1; i++) { E[i].v = Find(E[i].v); E[i].u = Find(E[i].u); Union(E[i].u, E[i].v); if (SZ[E[i].u] > Sum - X[E[i].u]) return cout << E[i].w, 0; } cout << 0; } int main() { ios::sync_with_stdio(0), cin.tie(0); int q; q = 1; while (q--) Main(); return 0; }
#include <bits/stdc++.h> using namespace std; int pa[5009], siz[5009], occ[5009], tots = 0; bool yay; vector<pair<int, pair<int, int> > > edges; int finder(int node) { if (pa[node] != node) { return pa[node] = finder(pa[node]); } return node; } void uniter(int x, int y) { x = finder(x); y = finder(y); if (x == y) { return; } pa[y] = x; siz[x] += siz[y]; occ[x] += occ[y]; if (tots - occ[x] < siz[x]) { yay = false; } return; } int main() { int i, j, t1, t2, t3, t4, n, ans = 0; scanf("%d", &n); for (i = 0; i < n - 1; i++) { scanf("%d %d %d", &t1, &t2, &t3); edges.push_back(make_pair(t3, make_pair(t1, t2))); } sort(edges.begin(), edges.end()); for (i = 1; i <= n; i++) { pa[i] = i; siz[i] = 1; scanf("%d", &occ[i]); tots += occ[i]; } if (n == 1) { printf("0\n"); return 0; } ans = edges[0].first; yay = true; for (i = 0; i < n - 1;) { j = i; while (edges[i].first == edges[j].first && j < n - 1) { uniter(edges[j].second.first, edges[j].second.second); j++; } if (yay && j < n - 1) { ans = edges[j].first; } i = j; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int M = 1e4 + 10, N = 3100; vector<pair<pair<int, int>, int> > ed; int n, par[N], sz[N], sig[N], x[N]; int root(int v) { if (par[v] == -1) return v; return par[v] = root(par[v]); } void merge(int u, int v) { u = root(u), v = root(v); if (u == v) return; par[u] = v; } bool check(int val) { memset(par, -1, sizeof par); memset(sz, 0, sizeof sz); memset(sig, 0, sizeof sig); for (int i = 0; i < n - 1; i++) { int v = ed[i].first.first, u = ed[i].first.second, w = ed[i].second; if (w < val) merge(u, v); } for (int i = 1; i <= n; i++) { sz[root(i)]++; sig[root(i)] += x[i]; } int SIG = 0; for (int i = 1; i <= n; i++) { if (par[i] == -1) SIG += sig[i]; } for (int i = 1; i <= n; i++) { if (sz[root(i)] > SIG - sig[root(i)]) return false; } return true; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n; for (int i = 0; i < n - 1; i++) { int a, b, c; cin >> a >> b >> c; ed.push_back({{a, b}, c}); } for (int i = 1; i <= n; i++) cin >> x[i]; int lo = 0, hi = M; while (hi - lo > 1) { int mid = (lo + hi) / 2; if (check(mid)) lo = mid; else hi = mid; } cout << lo << '\n'; }
#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]) return !printf("%d", ans); } printf("%d", ans); }
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> inline void amin(T &x, U y) { if (y < x) x = y; } template <typename T, typename U> inline void amax(T &x, U y) { if (x < y) x = y; } struct UnionFind { vector<int> data; void init(int n) { data.assign(n, -1); } bool unionSet(int x, int y) { x = root(x); y = root(y); if (x != y) { if (data[y] < data[x]) swap(x, y); data[x] += data[y]; data[y] = x; } return x != y; } bool findSet(int x, int y) { return root(x) == root(y); } int root(int x) { return data[x] < 0 ? x : data[x] = root(data[x]); } int size(int x) { return -data[root(x)]; } }; struct MaximumFlow { static const int InfCapacity = 0x3f3f3f3f; struct Edge { int to; int capacity; int rev; }; vector<vector<Edge> > g; void init(int n) { g.assign(n, vector<Edge>()); } void add(int i, int j, int capacity) { Edge e, f; e.to = j, f.to = i; e.capacity = capacity, f.capacity = 0; g[i].push_back(e); g[j].push_back(f); g[i].back().rev = (int)g[j].size() - 1; g[j].back().rev = (int)g[i].size() - 1; } void addB(int i, int j, int capacity) { Edge e, f; e.to = j, f.to = i; e.capacity = capacity, f.capacity = capacity; g[i].push_back(e); g[j].push_back(f); g[i].back().rev = (int)g[j].size() - 1; g[j].back().rev = (int)g[i].size() - 1; } int maximumFlow(int s, int t) { int n = g.size(); vector<int> level(n); int total = 0; bool update; do { update = false; fill(level.begin(), level.end(), -1); level[s] = 0; queue<int> q; q.push(s); for (int d = n; !q.empty() && level[q.front()] < d;) { int u = q.front(); q.pop(); if (u == t) d = level[u]; for (typeof((g[u]).begin()) e = ((g[u]).begin()); e != (g[u]).end(); ++e) if (e->capacity > 0 && level[e->to] == -1) q.push(e->to), level[e->to] = level[u] + 1; } vector<int> iter(n); for (int i = 0; i < n; i++) iter[i] = (int)g[i].size() - 1; while (1) { int f = augment(level, iter, s, t, InfCapacity); if (f == 0) break; total += f; update = true; } } while (update); return total; } int augment(vector<int> &level, vector<int> &iter, int u, int t, int f) { if (u == t || f == 0) return f; int lv = level[u]; if (lv == -1) return 0; level[u] = -1; for (; iter[u] >= 0; --iter[u]) { Edge &e = g[u][iter[u]]; if (level[e.to] <= lv) continue; int l = augment(level, iter, e.to, t, min(f, e.capacity)); if (l == 0) continue; e.capacity -= l; g[e.to][e.rev].capacity += l; level[u] = lv; return l; } return 0; } }; int main() { int n; scanf("%d", &n); vector<pair<pair<int, int>, int> > edges; for (int(i) = 0; (i) < (int)(n - 1); ++(i)) { int a, b, c; scanf("%d%d%d", &a, &b, &c), a--, b--; edges.push_back(make_pair((make_pair((a), (b))), (c))); } vector<int> x(n); for (int(i) = 0; (i) < (int)(n); ++(i)) scanf("%d", &x[i]); int l = 0, u = 10000; while (u - l > 0) { int mid = (l + u + 1) / 2; UnionFind uf; uf.init(n); for (int(i) = 0; (i) < (int)(n - 1); ++(i)) if (edges[i].second < mid) uf.unionSet(edges[i].first.first, edges[i].first.second); vector<vector<int> > components(n); for (int(i) = 0; (i) < (int)(n); ++(i)) components[uf.root(i)].push_back(i); vector<int> componentList; for (int(i) = 0; (i) < (int)(n); ++(i)) if (!components[i].empty()) componentList.push_back(i); int C = componentList.size(); int B = max(1, (int)pow(C, .5)), Buckets = (C + B - 1) / B; int s = C + Buckets + C, t = s + 1; MaximumFlow mf; mf.init(t + 1); for (int(i) = 0; (i) < (int)(C); ++(i)) { int cs = components[componentList[i]].size(); mf.add(s, i, cs); for (int(j) = 0; (j) < (int)(Buckets); ++(j)) { int L = j * B, R = min(C, (j + 1) * B); if (i < L || R <= i) { mf.add(i, C + j, cs); } else { for (int(k) = (int)(L); (k) < (int)(R); ++(k)) if (i != k) mf.add(i, C + Buckets + k, cs); } } } for (int(j) = 0; (j) < (int)(Buckets); ++(j)) { int L = j * B, R = min(C, (j + 1) * B); for (int(k) = (int)(L); (k) < (int)(R); ++(k)) mf.add(C + j, C + Buckets + k, 0x3f3f3f3f); } for (int(i) = 0; (i) < (int)(C); ++(i)) { int cap = 0; for (typeof((components[componentList[i]]).begin()) j = ((components[componentList[i]]).begin()); j != (components[componentList[i]]).end(); ++j) cap += x[*j]; mf.add(C + Buckets + i, t, cap); } int f = mf.maximumFlow(s, t); if (f == n) l = mid; else u = mid - 1; } printf("%d\n", l); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1000000000; int sz[50005], f[50005], b[50005]; int sum; pair<int, pair<int, int> > a[5005]; bool isOk; int n; int find_set(int x) { if (f[x] == x) return x; f[x] = find_set(f[x]); return f[x]; } void unite(int x, int y) { x = find_set(x); y = find_set(y); if (x == y) return; f[x] = y; b[y] += b[x]; sz[y] += sz[x]; if (sz[y] > sum - b[y]) isOk = false; } int main() { scanf("%d", &n); for (int i = 0; i < n - 1; ++i) { scanf("%d%d%d", &a[i].second.first, &a[i].second.second, &a[i].first); a[i].second.first--; a[i].second.second--; } sort(a, a + n - 1); for (int i = 0; i < n; ++i) { scanf("%d", &b[i]); sum += b[i]; sz[i] = 1; } for (int i = 0; i < n; ++i) f[i] = i; isOk = true; int ans = a[0].first; for (int i = 0; i < n; ++i) { if (sz[i] > sum - b[i]) isOk = false; } for (int i = 0; i < n - 1;) { int j = i; while (j < n - 1 && a[i].first == a[j].first) { unite(a[j].second.first, a[j].second.second); j++; } if (!isOk) break; if (a[j].first != 0) ans = a[j].first; else ans = a[j - 1].first; i = j; } 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; int n; struct st { int a; int b; int c; }; vector<st> v; bool cmp(st a, st b) { return a.c < b.c; } vector<int> vv; int belong[3002]; int siz[3002]; int sizz[3002]; inline int root(int b) { if (belong[b] == -1) return b; belong[b] = root(belong[b]); return belong[b]; } void merge(int a, int b) { a = root(a); b = root(b); if (a == b) return; belong[a] = b; siz[b] += siz[a]; sizz[b] += sizz[a]; } int cap[3002]; bool ok(int val) { for (int i = 0; i < 3002; i++) belong[i] = -1, siz[i] = 1, sizz[i] = cap[i]; for (int i = 0; i < v.size(); i++) { if (v[i].c >= val) { break; } merge(v[i].a, v[i].b); } vector<int> V; vector<int> S; int cap_sum = 0; for (int i = 0; i < n; i++) { if (i == root(i)) { V.push_back(siz[i]); S.push_back(sizz[i]); cap_sum += sizz[i]; } } for (int i = 0; i < V.size(); i++) { int op = cap_sum - S[i]; if (V[i] > op) { return false; } } return true; } int main() { cin >> n; if (n == 1) { puts("0"); return 0; } for (int i = 1; i < n; i++) { int a, b, c; scanf("%d%d%d", &a, &b, &c); a--; b--; v.push_back({a, b, c}); vv.push_back(c); } for (int i = 0; i < n; i++) scanf("%d", &cap[i]); sort(v.begin(), v.end(), cmp); sort(vv.begin(), vv.end()); int mint = 0; int maxt = vv.size() - 1; while (mint + 1 < maxt) { int mid = (mint + maxt) >> 1; if (ok(vv[mid])) { mint = mid; } else { maxt = mid - 1; } } if (ok(vv[maxt])) { cout << vv[maxt] << endl; } else { cout << vv[mint] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 3005; int n, val[MAXN], tot = 0; int par[MAXN], sz[MAXN]; pair<int, pair<int, int> > edge[MAXN]; int find(int x) { return x == par[x] ? x : par[x] = find(par[x]); } void join(int x, int y) { par[find(x)] = find(y); } int main() { ios::sync_with_stdio(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--; } for (int i = 0; i < n; i++) { cin >> val[i]; tot += val[i]; par[i] = i; sz[i] = 1; } sort(edge, edge + n - 1); for (int i = 0; i < n - 1; i++) { int a = edge[i].second.first, b = edge[i].second.second; if (find(a) == find(b)) continue; sz[find(b)] += sz[find(a)]; val[find(b)] += val[find(a)]; join(a, b); if (sz[find(a)] + val[find(a)] > tot) { cout << edge[i].first << '\n'; return 0; } } cout << "0\n"; }
#include <bits/stdc++.h> using namespace std; typedef struct N { int have, need; } N; typedef struct E { int a, b, len; } E; typedef struct G { int par, rnk, have, need; } G; int n; N node[3000]; E edge[2999]; G grp[3000]; int p[2999]; bool elencmp(const int &a, const int &b) { return edge[a].len < edge[b].len; } int find(int a) { if (grp[a].par == a) return a; return grp[a].par = find(grp[a].par); } void run() { scanf("%d", &n); for (int i = (0); i < (n - 1); ++i) { int a, b, c; scanf("%d%d%d", &a, &b, &c); --a, --b; edge[i].a = a; edge[i].b = b; edge[i].len = c; } for (int i = (0); i < (n); ++i) node[i].need = 1, scanf("%d", &node[i].have); for (int i = (0); i < (n - 1); ++i) p[i] = i; sort(p, p + n - 1, elencmp); for (int i = (0); i < (n); ++i) grp[i].par = i, grp[i].rnk = 0, grp[i].have = node[i].have, grp[i].need = node[i].need; int sumhave = 0; for (int i = (0); i < (n); ++i) sumhave += node[i].have; int ret = 0; for (int i = (0); i < (n - 1); ++i) { ret = edge[p[i]].len; int a = find(edge[p[i]].a), b = find(edge[p[i]].b); if (a != b) { if (grp[a].need + grp[b].need > sumhave - grp[a].have - grp[b].have) break; if (grp[a].rnk < grp[b].rnk) swap(a, b); grp[a].have += grp[b].have, grp[a].need += grp[b].need, grp[b].par = a, grp[a].rnk += grp[a].rnk == grp[b].rnk ? 1 : 0; } } printf("%d\n", ret); } int main() { run(); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 3000 + 1; struct Edge { int u, v, w; } e[maxn]; int read() { int x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } int n, sum; int a[maxn], pre[maxn], sz[maxn]; bool cmp(Edge a, Edge b) { return a.w < b.w; } int find(int x) { return x == pre[x] ? x : pre[x] = find(pre[x]); } int main() { 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, cmp); for (int i = 1; i <= n; i++) { a[i] = read(); pre[i] = i; sz[i] = 1; sum += a[i]; } for (int i = 1; i < n; i++) { int u = find(e[i].u), v = find(e[i].v); pre[u] = v; sz[v] += sz[u]; a[v] += a[u]; if (sz[v] > sum - a[v]) { printf("%d\n", e[i].w); return 0; } } puts("0"); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3005; const int inf = 1e9; template <typename T> void read(T &x) { x = 0; int f = 1; char c = getchar(); for (; !isdigit(c); c = getchar()) if (c == '-') f = -1; for (; isdigit(c); c = getchar()) x = (x << 1) + (x << 3) + c - '0'; x *= f; } int n; int fa[N], siz[N], val[N]; int sum; struct misaka { int x, y, w; bool operator<(const misaka &cmp) const { return w < cmp.w; } } e[N]; int find(int x) { if (fa[x] == x) return x; return fa[x] = find(fa[x]); } int main() { read(n); for (int i = 1; i <= n - 1; i++) read(e[i].x), read(e[i].y), read(e[i].w); for (int i = 1; i <= n; i++) fa[i] = i, siz[i] = 1, read(val[i]), sum += val[i]; sort(e + 1, e + n); for (int i = 1; i <= n - 1; i++) { int x = e[i].x, y = e[i].y; int fx = find(x), fy = find(y); siz[fx] += siz[fy], val[fx] += val[fy]; fa[fy] = fx; if (siz[fx] > sum - val[fx]) return printf("%d\n", e[i].w), 0; } printf("%d\n", e[n - 1].w); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> struct counting_iterator : public iterator<random_access_iterator_tag, bool> { T value = 0; counting_iterator(const T &value) : value(value) {} counting_iterator(const counting_iterator &it) : value(it.value) {} counting_iterator() {} typename iterator_traits<counting_iterator>::difference_type operator-( const counting_iterator &it) const { return value - it.value; } counting_iterator &operator++() { return *this += 1; } counting_iterator &operator--() { return *this += -1; } counting_iterator &operator+=( typename iterator_traits<counting_iterator>::difference_type n) { value += n; return *this; } bool operator!=(const counting_iterator &it) const { return value != it.value; } T &operator*() { return value; } }; template <typename T> using cnt_it = counting_iterator<T>; template <class T> struct graph { struct edge { int from, to; T cost; }; int n; vector<edge> edges; vector<vector<int>> adj; function<bool(int)> ignore; graph(int n) : n(n), adj(n) {} int link(int u, int v, T w = 1) { int id = (int)edges.size(); adj[u].push_back(id), adj[v].push_back(id), edges.push_back({u, v, w}); return id; } int orient(int u, int v, T w = 1) { int id = (int)edges.size(); adj[u].push_back(id), edges.push_back({u, v, w}); return id; } graph transposed() const { graph res(n); for (auto &e : edges) res.orient(e.to, e.from, e.cost); res.ignore = ignore; return res; } int degree(int u) { return (int)adj[u].size(); } }; int main() { cin.tie(0)->sync_with_stdio(0); cin.exceptions(ios::badbit | ios::failbit); int n; cin >> n; graph<int> g(n); vector<int> lim(n); for (auto i = 0; i < n - 1; ++i) { int u, v, w; cin >> u >> v >> w, --u, --v; g.link(u, v, w); } for (auto u = 0; u < n; ++u) { cin >> lim[u]; } int tot = accumulate(lim.begin(), lim.end(), 0); auto good = [&](int th) { 42; vector<int> vis(n); int lsum, cnt; function<void(int)> dfs = [&](int u) { vis[u] = true; lsum += lim[u]; ++cnt; for (auto id : g.adj[u]) { auto &e = g.edges[id]; if (e.cost < th) { int v = u ^ e.from ^ e.to; if (!vis[v]) { dfs(v); } } } }; for (auto u = 0; u < n; ++u) { if (!vis[u]) { lsum = 0, cnt = 0; dfs(u); 42; if (cnt > tot - lsum) { return false; } } } return true; }; cout << max(*partition_point(cnt_it<int>(0), cnt_it<int>(20000), good) - 1, 0) << "\n"; return 0; }
#include <bits/stdc++.h> #pragma GCC target("avx,avx2,fma") #pragma GCC optimization("O8") #pragma GCC optimization("unroll-loops") using namespace std; const long long int N = 3e3 + 20, mod = 1e9 + 7, inf = 2e9, maxq = 1e5 + 30; const long double eps = 0.0000001; long long int poww(long long int a, long long int b) { return (!b ? 1 : (b & 1 ? a * poww(a * a % mod, b / 2) % mod : poww(a * a % mod, b / 2) % mod)); } pair<int, pair<long long int, long long int> > edge[N]; vector<int> adj[N]; int ans[N]; vector<pair<long long int, long long int> > comp[N]; int par[N], cnt[N], t[N]; int getpar(int v) { if (par[v] == v) return v; return par[v] = getpar(par[v]); } void merge(int u, int v, int w) { u = getpar(u); v = getpar(v); sort(comp[u].begin(), comp[u].end()); sort(comp[v].begin(), comp[v].end()); if (comp[u].size() < comp[v].size()) swap(u, v); long long int p = 0; int sz = comp[u].size(); for (pair<long long int, long long int> vert : comp[v]) { t[vert.second] = 0; while (p < sz && t[vert.second] < cnt[vert.second]) { t[vert.second]++; t[ans[comp[u][p].second]]--; comp[u][p].first = w; ans[comp[u][p].second] = vert.second; p++; } } p = 0; sz = comp[v].size(); for (pair<long long int, long long int> vert : comp[u]) { while (p < sz && t[vert.second] < cnt[vert.second]) { t[vert.second]++; t[ans[comp[v][p].second]]--; comp[v][p].first = w; ans[comp[v][p].second] = vert.second; p++; } if (p == sz) break; } while (!(comp[v].empty())) { pair<long long int, long long int> vert = comp[v].back(); comp[v].pop_back(); comp[u].push_back(vert); } par[v] = u; return; } int main() { ios ::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n; cin >> n; for (int i = 0; i < n - 1; i++) { int v, u, w; cin >> v >> u >> w; if (v > u) swap(v, u); edge[i] = {w, {v, u}}; adj[v].push_back(u); adj[u].push_back(v); comp[i + 1].push_back({0, i + 1}); par[i + 1] = i + 1; } comp[n].push_back({0, n}); par[n] = n; for (int i = 1; i < n + 1; i++) cin >> cnt[i]; sort(edge, edge + n - 1); for (int i = 0; i < n - 1; i++) { merge(edge[i].second.first, edge[i].second.second, edge[i].first); getpar(1); } long long int out = inf; for (int i = 1; i < n + 1; i++) { if (!(comp[i].empty())) { for (pair<long long int, long long int> v : comp[i]) out = min(out, v.first); } } cout << out; return 0; }
#include <bits/stdc++.h> using namespace ::std; const long long maxn = 1e5 + 500; const long long mod = 1e9 + 7; const long long inf = 1e9 + 500; vector<pair<long long, long long> > ger[maxn]; long long x[maxn]; long long n; long long par[maxn]; long long summ = 0; long long sa[maxn]; long long sb[maxn]; long long find_par(long long a) { if (par[a] == a) { return a; } par[a] = find_par(par[a]); return par[a]; } void merg(long long a, long long b) { a = find_par(a); b = find_par(b); par[a] = b; } bool good(long long m) { for (long long i = 0; i < n; i++) { par[i] = i; sa[i] = 0; sb[i] = 0; } for (long long i = 0; i < n; i++) { for (auto e : ger[i]) { if (e.second < m) { merg(i, e.first); } } } for (long long i = 0; i < n; i++) { sa[find_par(i)]++; sb[find_par(i)] += x[i]; } for (long long i = 0; i < n; i++) { if (sa[i] > 0) { if (summ - sb[i] < sa[i]) { return 0; } } } return 1; } int main() { cin >> n; for (long long i = 1; i < n; i++) { long long v, u, w; cin >> v >> u >> w; v--; u--; ger[u].push_back(make_pair(v, w)); ger[v].push_back(make_pair(u, w)); } for (long long i = 0; i < n; i++) { cin >> x[i]; summ += x[i]; } long long b = 0; long long e = 100000; while (e - b > 1) { long long mid = (e + b) / 2; if (good(mid)) { b = mid; } else { e = mid; } } cout << b; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 5000; bool mark[MAXN]; int m[MAXN], ind, t[MAXN], ans, r, n, a[MAXN], sum, f[MAXN]; unsigned int l; vector<int> G[MAXN], W[MAXN], v1; void dfs(int v, int k) { mark[v] = true; m[v] = ind; t[ind]++; for (int i = 0; i < G[v].size(); i++) { int u = G[v][i]; if (!mark[u] && W[v][i] <= k) dfs(u, k); } } bool check(int k) { memset(mark, false, sizeof mark); ind = 0; for (int i = 1; i <= n; i++) if (!mark[i]) { t[ind] = 0; f[ind] = 0; dfs(i, k); ind++; } ans = 0; for (int i = 1; i <= n; i++) f[m[i]] += a[i]; for (int i = 0; i < ind; i++) if (sum - f[i] < t[i]) return false; for (int i = 1; i <= n; i++) ans += max(0, min(a[i], n - t[m[i]])); if (ans >= n) return true; return false; } int main() { cin >> n; for (int i = 1; i < n; i++) { int v, u, w; cin >> v >> u >> w; v1.push_back(w); G[v].push_back(u); G[u].push_back(v); W[v].push_back(w); W[u].push_back(w); } for (int i = 1; i <= n; i++) { cin >> a[i]; sum += a[i]; } if (n == 1) { cout << 0 << endl; return 0; } sort(v1.begin(), v1.end()); r = v1.size() - 1; while (l < r) { int mid = (l + r + 1) / 2; if (check(v1[mid])) l = mid; else r = mid - 1; } if (l + 1 >= v1.size()) cout << v1.back() << endl; else cout << v1[l + 1] << endl; }
#include <bits/stdc++.h> using namespace std; inline char gc() { static char buf[100000], *p1 = buf, *p2 = buf; return p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, 100000, stdin), p1 == p2) ? EOF : *p1++; } inline long long read() { long long x = 0; char ch = getchar(); bool positive = 1; for (; !isdigit(ch); ch = getchar()) if (ch == '-') positive = 0; for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0'; return positive ? x : -x; } inline void write(long long x) { if (x < 0) x = -x, putchar('-'); if (x > 9) write(x / 10); putchar(x % 10 + '0'); } inline void writeln(long long x) { write(x); puts(""); } struct Edge { long long v, w, to; } e[100005 * 2]; struct Node { long long l, r, w; inline bool operator<(const Node& x) const { return w > x.w; } } a[100005]; long long n, l, r, w, x, y, xx, yy, xxx, yyy, cnt, size, root, b[100005], c[100005], f[100005], g[100005], id[100005], fa[100005], dep[100005], num[100005], sum[100005], head[100005]; inline void add(long long u, long long v, long long w) { e[++size].v = v; e[size].to = head[u]; e[size].w = w; head[u] = size; } inline void inc1(long long x, long long k) { while (x <= n) { f[x] += k; x += x & (-x); } return; } inline void inc2(long long x, long long k) { while (x <= n) { g[x] += k; x += x & (-x); } return; } inline long long ask1(long long x) { long long ans = 0; while (x) { ans += f[x]; x -= x & (-x); } return ans; } inline long long ask2(long long x) { long long ans = 0; while (x) { ans += g[x]; x -= x & (-x); } return ans; } inline void dfs(long long u, long long last) { id[u] = ++cnt; num[cnt] = u; fa[u] = last; dep[u] = dep[last] + 1; sum[u] = 1; for (long long i = head[u]; i; i = e[i].to) { long long v = e[i].v; if (v == last) continue; dfs(v, u); sum[u] += sum[v]; } return; } inline void dfs2(long long u, long long last) { inc1(id[u], -b[u]); inc2(id[u], -c[u]); b[u] = c[u] = 0; for (long long i = head[u]; i; i = e[i].to) { long long v = e[i].v; if (v == last) continue; dfs2(v, u); } return; } int main() { n = read(); for (long long i = 1; i < n; i++) { l = read(); r = read(); w = read(); add(l, r, w); add(r, l, w); a[i].l = l; a[i].r = r; a[i].w = w; } dfs(1, 1); for (long long i = 1; i <= n; i++) { b[i] = 1; c[i] = read(); inc1(id[i], b[i]); inc2(id[i], c[i]); } sort(a + 1, a + n); root = 1; x = ask1(cnt); y = ask2(cnt); root = 1; for (long long i = 1; i < n; i++) { l = a[i].l; r = a[i].r; if (!b[l] || !b[r]) continue; if (dep[l] > dep[r]) swap(l, r); xx = ask1(id[r] + sum[r] - 1) - ask1(id[r] - 1); yy = ask2(id[r] + sum[r] - 1) - ask2(id[r] - 1); xxx = ask1(id[root] + sum[root] - 1); yyy = ask2(id[root] + sum[root] - 1); if (xx <= yyy - yy) { x -= xx; x -= min(x, yy); y -= xx; y -= min(y, xx); dfs2(r, fa[r]); } else { for (int j = 1; j < id[r]; j++) { inc1(id[i], -b[i]); inc2(id[i], -c[i]); b[i] = c[i] = 0; } for (int j = id[r] + sum[r]; j <= n; j++) { inc1(id[i], -b[i]); inc2(id[i], -c[i]); b[i] = c[i] = 0; } x -= xxx - xx; x -= min(x, yyy - yy); y -= yyy - yy; y -= min(y, xxx - xx); } if (!x) { writeln(a[i].w); return 0; } } puts("0"); return 0; }
#include <bits/stdc++.h> using namespace std; int n, ans, total; int app[3005], ata[3005], sz[3005]; pair<int, pair<int, int> > edge[3005]; int bul(int node) { if (ata[node] == node) return node; return ata[node] = bul(ata[node]); } 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", &app[i]); total += app[i]; ata[i] = i; sz[i] = 1; } sort(edge + 1, edge + n); for (int i = 1; i < n; i++) { int a = bul(edge[i].second.first); int b = bul(edge[i].second.second); ata[a] = b; sz[b] += sz[a]; app[b] += app[a]; if (sz[b] > total - app[b]) { ans = edge[i].first; break; } } printf("%d", ans); }
#include <bits/stdc++.h> using namespace std; int a[3030], b[3030], c[3030], sz[3030], x[3030]; int root[3030], uu[3030]; int find(int v) { if (root[v] == v) return v; return root[v] = find(root[v]); } int main() { int n; cin >> n; int tot = 0; for (int i = 0; i < n - 1; i++) { scanf("%d%d%d", &a[i], &b[i], &c[i]); } for (int i = 1; i <= n; i++) { scanf("%d", uu + i); tot += uu[i]; } int st = 0, ed = 100000; while (ed - st > 1) { int mid = (ed + st) / 2; for (int i = 1; i <= n; i++) root[i] = i, sz[i] = 1, x[i] = uu[i]; int f = 0; for (int i = 0; i < n - 1; i++) { if (c[i] >= mid) continue; int u = find(a[i]), v = find(b[i]); if (u == v) continue; sz[u] += sz[v]; root[v] = u; x[u] += x[v]; } for (int i = 1; i <= n; i++) { if (find(i) == i and tot - x[i] < sz[i]) f = 1; } if (f) ed = mid; else st = mid; } printf("%d", st); return 0; }
#include <bits/stdc++.h> #pragma GCC target("avx,avx2,fma") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") using namespace std; template <class A, class B> ostream& operator<<(ostream& out, const pair<A, B>& a) { return out << "(" << a.first << ", " << a.second << ")"; } template <class A> ostream& operator<<(ostream& out, const vector<A>& a) { out << "["; for (auto it = a.begin(); it != a.end(); ++it) { if (it != a.begin()) out << ", "; out << *it; } return out << "]"; } mt19937 rnd(time(NULL)); mt19937_64 rnd64(time(NULL)); const int INF = 1e9; const long long INF64 = 1e18; const int MOD = 1e9 + 7; const long double PI = acosl(-1.0); const long double EPS = 1e-9; const int N = 6000 + 7; int n; vector<pair<int, int> > g[N]; int a[N]; bool read() { if (scanf("%d", &n) != 1) return false; for (int i = 0; i < int(n); ++i) g[i].clear(); for (int i = 0; i < int(n - 1); ++i) { int v, u, w; scanf("%d%d%d", &v, &u, &w); --v, --u; g[v].push_back(make_pair(u, w)); g[u].push_back(make_pair(v, w)); } for (int i = 0; i < int(n); ++i) { scanf("%d", &a[i]); } return true; } int cnt; int s, t; short dist[N][N]; short cap[N][N], flow[N][N]; void init(int v, int p, int mx, short dist[N]) { dist[v] = mx; for (auto it : g[v]) { int u = it.first; int w = it.second; if (u == p) continue; init(u, v, max(mx, w), dist); } } void build() { s = 2 * n; t = s + 1; cnt = t + 1; for (int i = 0; i < int(n); ++i) { dist[i][i] = 0; init(i, -1, 0, dist[i]); } for (int i = 0; i < int(n); ++i) { cap[s][i] = 1; cap[i + n][t] = a[i]; } } inline int rem(int v, int u) { return cap[v][u] - flow[v][u]; } int d[N]; int lst[N]; int bfs() { for (int i = 0; i < int(cnt); ++i) d[i] = INF; d[s] = 0; queue<int> q; q.push(s); while (!q.empty()) { int v = q.front(); q.pop(); for (int u = 0; u < int(cnt); ++u) { if (rem(v, u) && d[u] == INF) { d[u] = d[v] + 1; if (u == t) return true; q.push(u); } } } return d[t] != INF; } int dfs(int v, int f) { if (v == t) return f; if (f == 0) return 0; int result = 0; for (; lst[v] < cnt; ++lst[v]) { int u = lst[v]; if (v >= n && v != t && u == n) lst[v] = u = t; if (v == s && u == n) break; if (v == u) continue; if (d[u] != d[v] + 1) continue; int add = dfs(u, min(f, rem(v, u))); result += add; f -= add; flow[v][u] += add; flow[u][v] -= add; if (f == 0) break; } return result; } int dinic() { int flow = 0; while (true) { if (!bfs()) break; for (int v = 0; v < int(n); ++v) lst[v] = n; for (int v = 0; v < int(n); ++v) lst[v + n] = 0; lst[s] = 0; lst[t] = n; int add; while ((add = dfs(s, INF)) > 0) flow += add; } return flow; } void solve() { build(); vector<int> vals; for (int i = 0; i < int(n); ++i) for (auto it : g[i]) vals.push_back(it.second); sort((vals).begin(), (vals).end()); vals.resize(unique((vals).begin(), (vals).end()) - vals.begin()); int l = 0, r = int((vals).size()) - 1; int res = 0; while (l <= r) { int m = (l + r) / 2; memset(flow, 0, sizeof(flow)); for (int i = 0; i < int(n); ++i) for (int j = 0; j < int(i); ++j) cap[i][n + j] = cap[j][n + i] = (dist[i][j] >= vals[m]); int f = 0; while (true) { int add = dinic(); if (add == 0) break; f += add; } if (f == n) { res = vals[m]; l = m + 1; } else { r = m - 1; } } printf("%d\n", res); } int main() { cout << fixed << setprecision(10); cerr << fixed << setprecision(10); if (read()) { solve(); } }
#include <bits/stdc++.h> using namespace std; int N; int x[3000]; int a[3000], b[3000], l[3000], cid[3000]; bool cmp(int i, int j) { return l[i] < l[j]; } int fid[3000], sz[3000]; long long xsz[3000]; int imx; void init() { for (int i = 0; i < N; i++) fid[i] = i, sz[i] = 1, xsz[i] = x[i]; } int find(int i) { if (fid[i] == i) return i; fid[i] = find(fid[i]); return fid[i]; } void join(int i, int j) { i = find(i), j = find(j); if (sz[i] <= sz[j]) { fid[i] = j; sz[j] += sz[i]; xsz[j] += xsz[i]; if (sz[j] > sz[imx]) imx = j; } else { fid[j] = i; sz[i] += sz[j]; xsz[i] += xsz[j]; if (sz[i] > sz[imx]) imx = i; } } int main() { cin >> N; for (int i = 0; i < N - 1; i++) { cin >> a[i] >> b[i] >> l[i]; a[i]--, b[i]--; cid[i] = i; } long long tot = 0; for (int i = 0; i < N; i++) { cin >> x[i]; tot += x[i]; } sort(cid, cid + N - 1, cmp); init(); for (int i = 0; i < N - 1; i++) { join(a[cid[i]], b[cid[i]]); if (sz[imx] + xsz[imx] > tot) { cout << l[cid[i]] << '\n'; return 0; } } cout << 0 << '\n'; }
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> inline void smin(T &a, U b) { if (a > b) a = b; } template <typename T, typename U> inline void smax(T &a, U b) { if (a < b) a = b; } template <class T> inline void gn(T &first) { char c, sg = 0; while (c = getchar(), (c > '9' || c < '0') && c != '-') ; for ((c == '-' ? sg = 1, c = getchar() : 0), first = 0; c >= '0' && c <= '9'; c = getchar()) first = (first << 1) + (first << 3) + c - '0'; if (sg) first = -first; } template <class T, class T1> inline void gn(T &first, T1 &second) { gn(first); gn(second); } template <class T, class T1, class T2> inline void gn(T &first, T1 &second, T2 &z) { gn(first); gn(second); gn(z); } template <class T> inline void print(T first) { if (first < 0) { putchar('-'); return print(-first); } if (first < 10) { putchar('0' + first); return; } print(first / 10); putchar(first % 10 + '0'); } template <class T> inline void printsp(T first) { print(first); putchar(' '); } template <class T> inline void println(T first) { print(first); putchar('\n'); } template <class T, class U> inline void print(T first, U second) { printsp(first); println(second); } template <class T, class U, class V> inline void print(T first, U second, V z) { printsp(first); printsp(second); println(z); } int power(int a, int b, int m, int ans = 1) { for (; b; b >>= 1, a = 1LL * a * a % m) if (b & 1) ans = 1LL * ans * a % m; return ans; } const int E = 3333; int sub[E]; int u[E], v[E], w[E], root[E], first[E], sz[E], sum; int find_root(int u) { if (root[u] == u) return u; return root[u] = find_root(root[u]); } void solve_A() { int n; gn(n); for (int i = 1; i < n; i++) gn(u[i], v[i], w[i]); for (int i = 1; i <= n; i++) { gn(first[i]); sum += first[i]; } int st = 0, ed = 10001; while (st + 1 < ed) { int md = st + ed >> 1, flag = 1; for (int i = 1; i <= n; i++) root[i] = i, sz[i] = 1, sub[i] = first[i]; for (int i = 1; i < n; i++) if (w[i] < md) { int uu = find_root(u[i]), vv = find_root(v[i]); if (uu == vv) continue; sz[uu] += sz[vv]; root[vv] = uu; sub[uu] += sub[vv]; } for (int i = 1; i <= n; i++) if (find_root(i) == i && sum < sub[i] + sz[i]) { flag = 0; break; } if (flag) st = md; else ed = md; } print(st); } int main() { solve_A(); return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF64 = ((long long)1E18); const int INF = 1E9 + 7; template <class C> void mini(C& a4, C b4) { a4 = min(a4, b4); } template <class C> void maxi(C& a4, C b4) { a4 = max(a4, b4); } template <typename T1, typename T2> ostream& operator<<(ostream& out, pair<T1, T2> pair) { out << "(" << pair.first << ", " << pair.second << ")"; return out; } int dost[3004], n; vector<pair<int, int> > t[3004]; vector<int> weights; bool done[3004]; int a, b, W; void go(int act, int papa) { done[act] = 1; a += 1; b += dost[act]; for (__typeof((t[act]).begin()) it = ((t[act]).begin()); it != (t[act]).end(); ++it) if (it->second < W && it->first != papa) { go(it->first, act); } } bool comp(const pair<int, int>& l, const pair<int, int>& r) { return l.first - l.second > r.first - r.second; } bool moge(int w) { W = w; memset((done), 0, sizeof(done)); vector<pair<int, int> > todo; for (int i = (1); i <= (n); ++i) if (!done[i]) { a = b = 0; go(i, -1); todo.push_back(make_pair(a, b)); } sort((todo).begin(), (todo).end(), comp); { if (0) cerr << "W" << " = " << W << endl; }; { if (0) { cerr << "todo" << " = "; for (__typeof(((todo)).begin()) it = (((todo)).begin()); it != ((todo)).end(); ++it) cerr << *it << ", "; cout << endl; } }; int trzeba = 0; int mamy = 0; int allsum = 0; for (__typeof((todo).begin()) it = ((todo).begin()); it != (todo).end(); ++it) allsum += it->second; for (__typeof((todo).begin()) it = ((todo).begin()); it != (todo).end(); ++it) { if (it->first > allsum - it->second) return 0; } return 1; return trzeba <= 0; } int main() { ios_base::sync_with_stdio(false); cin >> n; for (int i = (1); i <= (n - 1); ++i) { int a, b, c; cin >> a >> b >> c; weights.push_back(c); t[a].push_back(make_pair(b, c)); t[b].push_back(make_pair(a, c)); } for (int i = (1); i <= (n); ++i) cin >> dost[i]; sort((weights).begin(), (weights).end()); int best = 0, s = 0, e = ((int)(weights).size()) - 1; while (s <= e) { int q = (s + e) / 2; if (moge(weights[q])) { best = weights[q]; s = q + 1; } else e = q - 1; } cout << best << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = (int)1e9 + 7; const int MAXN = (int)3007; const int infint = (int)1e9; const long long inf = (long long)1e18; const int bound = 10007; int n, x[MAXN], par[MAXN], sz[MAXN], bip[MAXN]; struct edge { int u, v, w; edge(int a, int b, int c) { u = a, v = b, w = c; } }; vector<edge> e; bool cmp(edge E1, edge E2) { return E1.w < E2.w; } int get(int v) { return par[v] < 0 ? v : par[v] = get(par[v]); } void merge(int u, int v) { if ((u = get(u)) == (v = get(v))) return; if (par[u] > par[v]) swap(u, v); par[u] += par[v]; par[v] = u; } bool hall() { int sm = 0; for (int i = 1; i <= n; i++) sm += bip[i]; if (sm < n) return 0; for (int i = 1; i <= n; i++) if (sz[i] > sm - bip[i]) return 0; return 1; } bool check(int mid) { memset(par, -1, sizeof par); for (auto E : e) if (E.w < mid) merge(E.u, E.v); else break; memset(sz, 0, sizeof sz); memset(bip, 0, sizeof bip); for (int i = 1; i <= n; i++) sz[get(i)]++, bip[get(i)] += x[i]; return hall(); } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n; for (int i = 0; i < n - 1; i++) { int u, v, w; cin >> u >> v >> w; edge nw(u, v, w); e.push_back(nw); } sort(e.begin(), e.end(), cmp); for (int i = 1; i <= n; i++) cin >> x[i]; int L = 0, R = bound; while (R - L > 1) { int mid = (L + R) >> 1; if (check(mid)) L = mid; else R = mid; } cout << L; }
#include <bits/stdc++.h> const int MAXN = 3010; struct _ { int b, e, v; bool operator<(const _& b) const { return v < b.v; } } es[MAXN]; int fa[MAXN], sz[MAXN], xs[MAXN], n; int find(int x) { return x == fa[x] ? x : fa[x] = find(fa[x]); } int main() { std::cin >> n; for (int i = 1; i < n; ++i) std::cin >> es[i].b >> es[i].e >> es[i].v; std::sort(es + 1, es + n); int tox = 0; for (int i = 1; i <= n; ++i) std::cin >> xs[i], sz[fa[i] = i] = 1, tox += xs[i]; int ans = es[1].v; for (int i = 1; i < n; ++i) { int x = find(es[i].b), y = find(es[i].e); sz[y] += sz[x], xs[y] += xs[x]; fa[x] = y; if ((tox - xs[y]) < sz[y]) break; ans = es[i + 1].v; } std::cout << ans << std::endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long int MOD = 1e9 + 7; const int N = 3005, M = 1e5 + 10, NM1 = N - 1; long long int OO = 1e18 + 8; int oo = 1e9 + 8; void readFile() {} struct DSU { vector<int> par, sz; DSU(int n) { par.resize(n), sz.resize(n), iota(par.begin(), par.end(), 0), fill(sz.begin(), sz.end(), 1); } int leader(int u) { return (par[u] == u) ? u : par[u] = leader(par[u]); } bool join(int u, int v) { int p1 = leader(u), p2 = leader(v); if (p1 == p2) return false; par[p2] = p1; sz[p1] += sz[p2]; return true; } } dsu(1); int n, m, u, v, x[N], edgeFrom[N], edgeTo[N], edgeCost[N], sorted[N]; int main() { readFile(); scanf("%d", &n); dsu = DSU(n + 1); if (n == 1) return puts("0"), 0; for (int i = 0; i < n - 1; i++) { scanf("%d%d%d", edgeFrom + i, edgeTo + i, edgeCost + i); sorted[i] = i; } sort(sorted, sorted + n - 1, [](int a, int b) { return edgeCost[a] < edgeCost[b]; }); int sum = 0; for (int i = 1; i <= n; i++) { scanf("%d", x + i); sum += x[i]; } for (int i = 0; i < n - 1; i++) { int idx = sorted[i]; u = dsu.leader(edgeFrom[idx]), v = dsu.leader(edgeTo[idx]); dsu.join(u, v); x[u] += x[v]; if (dsu.sz[dsu.leader(u)] > sum - x[u]) return printf("%d\n", edgeCost[idx]), 0; } printf("%d\n", edgeCost[sorted[n - 2]]); return 0; }
#include <bits/stdc++.h> using namespace std; struct st { int sz, cp, pr; } data[1 << 15]; int n; int a, b, c, sm, ans; vector<pair<int, pair<int, int>>> E(1); int P(int x) { if (data[x].pr == x) return x; return data[x].pr = P(data[x].pr); } int main() { scanf("%d", &n); for (int i = 2; i <= n; i++) { scanf("%d%d%d", &a, &b, &c); E.push_back({c, {a, b}}); } sort(E.begin(), E.end()); for (int i = 1; i <= n; i++) { scanf("%d", &a); sm += a; data[i].pr = i; data[i].cp = a; data[i].sz = 1; } for (int i = 1; i <= n - 1; i++) { a = P(E[i].second.first); b = P(E[i].second.second); data[b].pr = a; data[a].sz += data[b].sz; data[a].cp += data[b].cp; ans = i; if (data[a].sz > sm - data[a].cp) break; } printf("%d", E[ans].first); }
#include <bits/stdc++.h> using namespace std; const int maxn = 100005; int n; struct Edge2 { int from, to, dist, id; inline bool operator<(const Edge2& other) const { return this->dist > other.dist; } } E[maxn]; struct Edge { int to, nxt, dist; bool flag; } e[maxn << 1]; int first[maxn]; inline void add_edge(Edge2& ee) { static int cnt = 0; ee.id = ++cnt; e[cnt].nxt = first[ee.from]; e[cnt].flag = false; first[ee.from] = cnt; e[cnt].to = ee.to; e[cnt].dist = ee.dist; e[++cnt].nxt = first[ee.to]; e[cnt].flag = false; first[ee.to] = cnt; e[cnt].to = ee.from; e[cnt].dist = ee.dist; } int siz[maxn]; int xx[maxn]; long long sum_all; long long sumx[maxn]; bool fff[maxn]; inline bool dfs(int now, int fa) { sumx[now] = xx[now]; siz[now] = 1; for (int i = first[now]; i; i = e[i].nxt) { int to = e[i].to; if (to != fa) { if (e[i].flag) fff[to] = true; if (!dfs(to, now)) { return false; } if (!e[i].flag) { siz[now] += siz[to]; sumx[now] += sumx[to]; } } } if (fff[now]) { if (sum_all - sumx[now] - max(n - siz[now] - sumx[now], 0LL) < (long long)siz[now]) return false; else return true; } else return true; } int main() { scanf("%d", &n); for (int i = 1; i < n; ++i) { scanf("%d%d%d", &E[i].from, &E[i].to, &E[i].dist); add_edge(E[i]); } sort(E + 1, E + n); for (int i = 1; i <= n; ++i) { scanf("%d", &xx[i]); sum_all += xx[i]; } int l = 1, r = n - 1; while (l < r) { memset(fff, 0, sizeof(fff)); fff[1] = true; int mid = (l + r) >> 1; for (int i = 1; i < n; ++i) e[E[i].id].flag = e[E[i].id + 1].flag = (i <= mid); if (dfs(1, 0)) r = mid; else l = mid + 1; } printf("%d", E[r].dist); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100100; int n, X[maxn]; struct st { int a, b, c; } e[maxn]; bool cmp(st a, st b) { return a.c < b.c; } int size[maxn], M[maxn], sum, fa[maxn]; int find(int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); } bool check(int limit) { for (int i = 1; i <= n; i++) fa[i] = i, size[i] = 1, M[i] = X[i]; for (int i = 1; i < n && e[i].c < limit; i++) { int f1 = find(e[i].a), f2 = find(e[i].b); if (f1 == f2) continue; fa[f1] = f2; M[f2] += M[f1]; size[f2] += size[f1]; } for (int i = 1; i <= n; i++) { int f = find(i); if (size[f] > sum - M[f]) return 0; } return 1; } int main() { scanf("%d", &n); int mx = 0; for (int i = 1; i < n; i++) scanf("%d%d%d", &e[i].a, &e[i].b, &e[i].c), mx = max(mx, e[i].c); for (int i = 1; i <= n; i++) scanf("%d", &X[i]), sum += X[i]; int l = 0, r = mx, ans = 0; sort(e + 1, e + n, cmp); while (l <= r) { int mid = (l + r) / 2; if (check(mid)) l = mid + 1, ans = mid; else r = mid - 1; } printf("%d", 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]; vector<pair<int, pair<int, int> > > v; 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.push_back(make_pair(c, make_pair(a, b))); } for (int i = 0; i < n; i++) scanf("%d", &w[i]); sort((v).begin(), (v).end()); int l = 0, r = n; while (r - l > 1) { int s = (l + r) / 2; if (can(s)) l = s; else r = s; } if (l == n - 1) printf("0\n"); else printf("%d\n", v[l].first); return 0; }
#include <bits/stdc++.h> using namespace std; void setIO(string NAME) {} inline long long gI() { char c = getchar(); while ((c < '0' || c > '9') && c != '-') c = getchar(); long long flag = 1, p = 0; if (c == '-') flag = -1, c = getchar(); while (c >= '0' && c <= '9') p = p * 10 + (c - '0'), c = getchar(); return p * flag; } int gs(char* C) { char c = getchar(); while (c == ' ' || c == '\n') c = getchar(); int l = 0; while (c != ' ' && c != '\n' && c != EOF) C[l++] = c, c = getchar(); C[l] = 0; return l; } template <class T> void debug(const T a, const int& n) { for (int i = 0; i < n; ++i) printf("%d%c", a[i], (i == n - 1) ? '\n' : ' '); } const int inf = ~0U >> 1, maxn = 3000 + 10; int n, sum = 0; int f[maxn], c[maxn], s[maxn]; bool flag = 1; struct Edge { int x, y, c; friend bool operator<(const Edge& A, const Edge& B) { return A.c < B.c; } } E[maxn]; int find(int x) { if (f[x] == x) return x; return f[x] = find(f[x]); } void merge(int x, int y) { x = find(x), y = find(y); c[x] += c[y]; s[x] += s[y]; f[y] = x; if (s[x] > sum - c[x]) flag = 0; } int main() { setIO("test"); n = gI(); for (int i = 0; i < n - 1; ++i) { E[i].x = gI(), E[i].y = gI(), E[i].c = gI(); } for (int i = 1; i <= n; ++i) { f[i] = i; s[i] = 1, c[i] = gI(); sum += c[i]; } sort(E, E + n - 1); int ans = E[0].c; for (int i = 0; i < n - 1;) { int j; for (j = i; j < n - 1; ++j) { merge(E[j].x, E[j].y); if (E[j].c != E[j + 1].c) break; } if (!flag) break; ans = max(ans, E[j + 1].c), i = j + 1; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> int read() { register int x = 0; register char f = 1, ch = getchar(); for (; !isdigit(ch); ch = getchar()) if (ch == '-') f = 0; for (; isdigit(ch); ch = getchar()) x = (x << 1) + (x << 3) + (ch ^ '0'); return f ? x : -x; } int n, fa[100005], sz[100005], ans; long long a[100005], sum; struct node { int u, v, w; bool operator<(const node &res) const { return w < res.w; } } e[100005]; int find(int x) { return fa[x] == x ? x : (fa[x] = find(fa[x])); } int merge(int x, int y) { int fx = find(x), fy = find(y); fa[fy] = fx, sz[fx] += sz[fy], a[fx] += a[fy]; return sz[fx] <= sum - a[fx]; } int main() { n = read(); for (register int i = 1; i < n; ++i) e[i] = (node){read(), read(), read()}; for (register int i = 1; i <= n; ++i) sum += a[i] = read(), fa[i] = i, sz[i] = 1; std ::sort(e + 1, e + n); for (register int i = 1; i < n; ++i) if (ans = e[i].w, !merge(e[i].u, e[i].v)) break; printf("%d", ans); }