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#include <bits/stdc++.h> using namespace std; int v[500000]; int ans[500000]; queue<pair<int, int> > q; vector<pair<int, int> > p[500000]; int main() { int n, k, d, x, y; int i, j; cin >> n >> k >> d; for (i = 0; i < k; i++) { cin >> x; q.push(make_pair(x, 0)); } for (i = 0; i < n - 1; i++) { cin >> x >> y; p[x].push_back(make_pair(y, i + 1)); p[y].push_back(make_pair(x, i + 1)); } while (!(q.empty())) { int l, r; l = q.front().first; r = q.front().second; q.pop(); if (v[l] == 1) continue; v[l] = 1; for (i = 0; i < p[l].size(); i++) { if (p[l][i].first != r) { if (v[p[l][i].first] == 1) ans[p[l][i].second] = 1; else q.push(make_pair(p[l][i].first, l)); } } } int c = 0; for (i = 1; i <= n - 1; i++) { if (ans[i]) c++; } cout << c << endl; for (i = 1; i <= n - 1; i++) { if (ans[i]) cout << i << " "; } cout << endl; }
#include <bits/stdc++.h> using namespace std; int n, k, d, x, y, dis[300005], vis[300005], us[300005]; queue<pair<int, int> > q; vector<pair<int, int> > E[300005]; vector<int> v; int main() { scanf("%d%d%d", &n, &k, &d); for (int i = 1; i <= n; i++) dis[i] = 1000000007; for (int i = 1; i <= k; i++) { scanf("%d", &x); q.push({x, 0}); dis[x] = 0; } for (int i = 1; i <= n - 1; i++) { scanf("%d%d", &x, &y); E[x].push_back({y, i}); E[y].push_back({x, i}); } while (!q.empty()) { x = q.front().first; y = q.front().second; q.pop(); if (vis[x] == 1) continue; vis[x] = 1, us[y] = 1; for (auto i : E[x]) { if (dis[i.first] > dis[x] + 1) { dis[i.first] = dis[x] + 1; q.push({i.first, i.second}); } } } for (int i = 1; i <= n - 1; i++) if (!us[i]) v.push_back(i); printf("%d\n", int(v.size())); for (auto i : v) { printf("%d ", i); } }
#include <bits/stdc++.h> using namespace std; const int MAX = 3e5 + 5; bool visited[MAX]; int dist[MAX]; vector<pair<int, int> > adjList[MAX]; queue<pair<int, int> > q; set<int> printed; int main() { int n, k, d; scanf("%d %d %d", &n, &k, &d); int v1, v2; memset(dist, -1, sizeof(dist)); for (int i = 0; i < k; i++) { scanf("%d", &v1); q.push(make_pair(v1, 0)); } for (int i = 1; i < n; i++) { scanf("%d %d", &v1, &v2); adjList[v1].push_back(make_pair(v2, i)); adjList[v2].push_back(make_pair(v1, i)); } while (!q.empty()) { pair<int, int> u = q.front(); q.pop(); if (visited[u.first]) continue; visited[u.first] = 1; for (int i = 0; i < adjList[u.first].size(); i++) { pair<int, int> t = adjList[u.first][i]; if (t.first != u.second) { if (visited[t.first]) printed.insert(t.second); else { q.push(make_pair(t.first, u.first)); } } } } printf("%lu\n", printed.size()); for (auto it = printed.begin(); it != printed.end(); it++) { if (it != printed.begin()) putchar(' '); printf("%d", *it); } if (printed.size() > 0) putchar('\n'); return 0; }
#include <bits/stdc++.h> using namespace std; int n, d, k, dis[300005]; vector<int> ans; bool vis[300005], p[300003]; vector<int> all; vector<pair<int, int> > e[300005]; void dfs(int idx, int cur) { if (vis[idx]) { return; } vis[idx] = 1; for (int i = 0; i < e[idx].size(); i++) { int to = e[idx][i].first; if (!vis[to]) { if (p[to]) { ans.push_back(e[idx][i].second); dfs(to, 0); continue; } else { if (cur + 1 > dis[to]) { ans.push_back(e[idx][i].second); continue; } dfs(to, cur + 1); } } } } int main() { scanf("%d%d%d", &n, &k, &d); int foo; queue<int> q; fill(dis, dis + n + 1, 1e9); for (int i = 0; i < k; i++) { scanf("%d", &foo); p[foo] = 1; dis[foo] = 0; all.push_back(foo); } for (int i = 0; i <= n; i++) { if (p[i]) { q.push(i); } } int a, b; for (int i = 1; i < n; i++) { scanf("%d%d", &a, &b); e[a].push_back(make_pair(b, i)); e[b].push_back(make_pair(a, i)); } while (!q.empty()) { int f = q.front(); q.pop(); for (int i = 0; i < e[f].size(); i++) { int to = e[f][i].first; if (dis[to] > dis[f] + 1) { dis[to] = dis[f] + 1; q.push(to); } } } for (int i = 0; i < all.size(); i++) { dfs(all[i], 0); } printf("%d\n", (int)ans.size()); for (int i = 0; i < ans.size(); i++) { if (i) { printf(" "); } printf("%d", ans[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX_K = 3e5 + 5; const int MAX_N = 3e5 + 5; struct Road { int to, index; } rd; int n, k, d; int p[MAX_K], vis[MAX_N]; vector<Road> G[MAX_N]; vector<int> ans; void BFS() { queue<int> que; for (int i = 1; i <= k; i++) { if (vis[p[i]] != 0) continue; vis[p[i]] = p[i]; que.push(p[i]); } int u, size; while (!que.empty()) { u = que.front(); que.pop(); size = G[u].size(); for (int i = 0; i < size; i++) { rd = G[u][i]; if (vis[rd.to] == 0) { vis[rd.to] = vis[u]; que.push(rd.to); } else { if (vis[rd.to] != vis[u]) { ans.push_back(rd.index); } } } } sort(ans.begin(), ans.end()); ans.erase(unique(ans.begin(), ans.end()), ans.end()); int cnt = ans.size(); printf("%d\n", cnt); for (int i = 0; i < cnt; i++) { printf("%d%c", ans[i], i == cnt - 1 ? '\n' : ' '); } } int main() { scanf("%d%d%d", &n, &k, &d); for (int i = 1; i <= k; i++) { scanf("%d", &p[i]); } int u, v; for (int i = 1; i <= n - 1; i++) { scanf("%d%d", &u, &v); rd.to = v; rd.index = i; G[u].push_back(rd); rd.to = u; rd.index = i; G[v].push_back(rd); } BFS(); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 300010; int n, k, d; queue<pair<int, int> > q; int h[N], e[N << 1], ne[N << 1], idx; int num[N]; int u[N], v[N]; void add(int a, int b) { e[idx] = b, ne[idx] = h[a], h[a] = idx++; } void bfs() { int x, y; while (!q.empty()) { x = q.front().first; y = q.front().second; q.pop(); for (int i = h[x]; i != -1; i = ne[i]) { int v = e[i]; if (num[v]) continue; num[v] = y; q.push({v, y}); } } } int main() { scanf("%d%d%d", &n, &k, &d); int x, id = 0; for (int i = 1; i <= k; i++) { scanf("%d", &x); if (num[x]) continue; q.push({x, ++id}); num[x] = id; } memset(h, -1, sizeof h); for (int i = 1; i <= n - 1; i++) { scanf("%d%d", &u[i], &v[i]); add(u[i], v[i]); add(v[i], u[i]); } bfs(); int res = 0; for (int i = 1; i <= n - 1; i++) { if (num[u[i]] != num[v[i]]) res++; } printf("%d\n", res); for (int i = 1; i <= n - 1; i++) { if (num[u[i]] != num[v[i]]) printf("%d ", i); } }
#include <bits/stdc++.h> using namespace std; const int oo = 0x3f3f3f3f; const long long ooo = 0x3f3f3f3f3f3f3f3fll; template <class T> T abs(T x) { return x > 0 ? x : -x; } template <class T> inline T sqr(T x) { return x * x; } template <class T> T lcm(T a, T b) { return b * a / __gcd(a, b); } int n, m, k, x; const int MAX = 3e5 + 10; int a[MAX]; set<int> ans; vector<pair<int, int> > adj[MAX]; int vstd[MAX]; int main() { int u, v; deque<pair<int, int> > dq; scanf("%d %d %d", &n, &m, &k); for (int i = 0; i < m; ++i) { scanf("%d", &x); dq.push_back(make_pair(x, 0)); } for (int i = 1; i <= n - 1; ++i) { scanf("%d %d", &u, &v); adj[u].push_back(make_pair(v, i)); adj[v].push_back(make_pair(u, i)); } while (!dq.empty()) { int f = dq.front().first; int p = dq.front().second; dq.pop_front(); if (vstd[f]) continue; vstd[f] = 1; for (auto o : adj[f]) { if (o.first == p) continue; if (vstd[o.first]) ans.insert(o.second); else dq.push_back({o.first, f}); } } printf("%d\n", ((int)(ans).size())); for (int o : ans) printf("%d ", o); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3e5 + 7; const long double pi = 3.14159265359; const int INF = 1e9 + 7; int n, k, ds, d[N], a, x[N], y[N], used[N]; vector<int> g[N], ans; queue<int> q; int main() { cin >> n >> k >> ds; for (int i = 1; i <= k; i++) { cin >> a; d[a] = i; q.push(a); used[a] = 1; } for (int i = 1; i < n; i++) { cin >> x[i] >> y[i]; g[x[i]].push_back(y[i]); g[y[i]].push_back(x[i]); } while (!q.empty()) { int v = q.front(); q.pop(); for (auto i : g[v]) { if (!used[i]) { d[i] = d[v]; used[i] = 1; q.push(i); } } } for (int i = 1; i < n; i++) { if (d[x[i]] != d[y[i]]) { ans.push_back(i); } } cout << ans.size() << '\n'; for (auto i : ans) { cout << i << ' '; } }
#include <bits/stdc++.h> using namespace std; int N, K, D; vector<int> edge[310000]; int parent[310000]; map<pair<int, int>, int> mp; int station[310000]; queue<int> q; set<int> ans; int32_t main() { ios_base::sync_with_stdio(false); if (fopen("cf796d.in", "r")) { freopen("cf796d.in", "r", stdin); freopen("cf796d.out", "w", stdout); } cin >> N >> K >> D; for (int i = 0; i < K; i++) { cin >> station[i]; station[i]--; } for (int i = 1; i < N; i++) { int a, b; cin >> a >> b; a--; b--; edge[a].push_back(b); edge[b].push_back(a); mp[make_pair(a, b)] = i; mp[make_pair(b, a)] = i; } for (int i = 0; i < N; i++) { parent[i] = -1; } for (int i = 0; i < K; i++) { q.push(station[i]); parent[station[i]] = -2; } while (!q.empty()) { int u = q.front(); q.pop(); for (int i = 0; i < edge[u].size(); i++) { int v = edge[u][i]; if (parent[v] == u || parent[u] == v) { continue; } if (parent[v] != -1) { ans.insert(mp[make_pair(u, v)]); continue; } parent[v] = u; q.push(v); } } cout << ans.size() << '\n'; for (auto it = ans.begin(); it != ans.end(); it++) { cout << *it << ' '; } cout << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> a[300001], c[300001], kq; int n, m, k, i, u, v, f[300001], dd[300001], d[300001], tr[300001]; queue<int> q; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> m >> k; memset(f, -1, sizeof(f)); for (i = 1; i <= m; i++) { cin >> u; dd[u] = 1; f[u] = 0; q.push(u); tr[u] = u; } for (i = 1; i < n; i++) { cin >> u >> v; a[u].push_back(v); a[v].push_back(u); c[u].push_back(i); c[v].push_back(i); } while (!q.empty()) { int u = q.front(); q.pop(); for (int i = 0; i < a[u].size(); i++) { int v = a[u][i]; if (f[v] == -1 && f[u] < k) { tr[v] = tr[u]; f[v] = f[u] + 1; q.push(v); d[c[u][i]] = 1; } } } for (i = 1; i < n; i++) if (d[i] == 0) kq.push_back(i); cout << kq.size() << '\n'; for (i = 0; i < kq.size(); i++) cout << kq[i] << ' '; }
#include <bits/stdc++.h> using namespace std; const int N = 3e5 + 10; struct Edge { int to, nxt, id; } edge[2 * N]; int head[N], tot; void init() { tot = 0; memset(head, -1, sizeof(head)); } void addedge(int u, int v, int id) { edge[tot].id = id; edge[tot].to = v; edge[tot].nxt = head[u]; head[u] = tot++; } bool p[N]; int belong[N]; int ans[N], cnt, d; void dfs(int u, int f) { for (int i = head[u]; i != -1; i = edge[i].nxt) { int v = edge[i].to; if (v == f) continue; if (belong[v] != belong[u]) ans[cnt++] = edge[i].id; dfs(v, u); } } int main() { init(); int n, k; int u, v; memset(p, false, sizeof(p)); scanf("%d%d%d", &n, &k, &d); for (int i = 0; i < k; i++) { scanf("%d", &u); p[u] = true; } for (int i = 1; i < n; i++) { scanf("%d%d", &u, &v); addedge(u, v, i); addedge(v, u, i); } memset(belong, -1, sizeof(belong)); queue<int> q; for (int i = 1; i <= n; i++) if (p[i]) q.push(i), belong[i] = i; while (!q.empty()) { u = q.front(); q.pop(); for (int i = head[u]; i != -1; i = edge[i].nxt) { v = edge[i].to; if (belong[v] != -1) continue; belong[v] = belong[u]; q.push(v); } } cnt = 0; dfs(1, 1); printf("%d\n", cnt); for (int i = 0; i < cnt - 1; i++) printf("%d ", ans[i]); if (cnt) printf("%d", ans[cnt - 1]); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; struct edge { int from, to; } E[600010 * 2]; int que[600010], dis[600010], ans, vis[600010 * 2]; int police[600010], edge_cnt, anss[600010]; int n, m, k, ne[600010 * 2], last[600010]; void add(int x, int y) { E[++edge_cnt].from = x; E[edge_cnt].to = y; ne[edge_cnt] = last[x]; last[x] = edge_cnt; } void Insert() { int x, y; scanf("%d %d", &x, &y); add(x, y); add(y, x); } void bfs() { int head = 1, tail = 0; int u, v; memset(dis, 0x7f, sizeof(dis)); for (int i = 1; i <= m; i++) { que[++tail] = police[i]; dis[police[i]] = 0; } while (head <= tail) { u = que[head]; for (int j = last[u]; j; j = ne[j]) { int v = E[j].to; if (vis[(j + 1) / 2]) continue; if (dis[v] > dis[u] + 1 && dis[u] < k) { vis[(j + 1) / 2] = 1; dis[v] = dis[u] + 1; que[++tail] = v; } if (dis[v] <= dis[u]) { vis[(j + 1) / 2] = 1; anss[++ans] = (j + 1) / 2; } } head++; } } int main() { cin >> n >> m >> k; for (int i = 1; i <= m; i++) scanf("%d", &police[i]); for (int i = 1; i <= n - 1; i++) Insert(); bfs(); cout << ans << endl; for (int i = 1; i <= ans; i++) printf("%d ", anss[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int mxN = 3 * 100 * 1000 + 5; vector<int> g[mxN]; int vis[mxN]; void solve() { int n, k, d; cin >> n >> k >> d; queue<pair<int, int>> q; for (int i = 0; i < k; i++) { int p; cin >> p; p--; if (!vis[p]) { vis[p] = 1; q.push({p, d}); } } map<pair<int, int>, int> mp; for (int i = 1; i < n; i++) { int u, v; cin >> u >> v; u--; v--; mp[{min(u, v), max(u, v)}] = i; g[u].push_back(v); g[v].push_back(u); } set<int> ans; vector<int> par(n); while ((int)q.size()) { int sz = q.size(); while (sz--) { int cur, depth; tie(cur, depth) = q.front(); q.pop(); depth--; for (auto to : g[cur]) { if (vis[to]) { if (to != par[cur]) ans.insert(mp[{min(cur, to), max(cur, to)}]); } else { par[to] = cur; vis[to] = 1; if (depth >= 0) { q.push({to, depth}); } } } } } cout << (int)ans.size() << endl; for (auto edge : ans) { cout << edge << " "; } cout << endl; } int query = 0; int main() { int q = 1; if (query) cin >> q; while (q--) { solve(); } }
#include <bits/stdc++.h> using namespace std; int vst[300005], vis[300005], dis[300005], a[300005]; vector<pair<int, int>> v[300005]; set<int> ans; map<pair<int, int>, int> num; priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> s; void dfs(int node) { vst[node] = 1; for (auto ite : v[node]) if (!vst[ite.second]) { if (dis[ite.second] == dis[node] + 1) { dfs(ite.second); } else { ans.insert(num[{node, ite.second}]); } } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, k, d, i; cin >> n >> k >> d; for (i = 1; i <= k; ++i) cin >> a[i]; for (i = 1; i < n; ++i) { int r, g; cin >> r >> g; num[{r, g}] = i; num[{g, r}] = i; v[r].push_back({1, g}); v[g].push_back({1, r}); } for (i = 1; i <= n; ++i) dis[i] = d + 1; for (i = 1; i <= k; ++i) { dis[a[i]] = 0; pair<int, int> p = {dis[a[i]], a[i]}; s.push(p); } while (!s.empty()) { pair<int, int> e = s.top(); s.pop(); if (vis[e.second]) continue; vis[e.second] = 1; for (auto it : v[e.second]) { if (dis[e.second] + it.first < dis[it.second]) { dis[it.second] = dis[e.second] + it.first; s.push({dis[it.second], it.second}); } } } for (i = 1; i <= k; ++i) if (!vst[a[i]]) dfs(a[i]); cout << (int)(ans.size()) << "\n"; for (auto itr : ans) cout << itr << " "; return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> inline T sqr(const T &x) { return x * x; } inline long long sqr(int x) { return sqr<long long>(x); } template <class T> T binpow(const T &a, long long n) { return n == 0 ? 1 : sqr(binpow(a, n / 2)) * (n % 2 ? a : 1); } long long binpow(long long a, long long n, long long modulo) { return n == 0 ? 1 : sqr(binpow(a, n / 2, modulo)) % modulo * (n % 2 ? a : 1) % modulo; } long long gcd(long long a, long long b, long long &x, long long &y) { if (a == 0) { x = 0; y = 1; return b; } long long x1, y1; long long d = gcd(b % a, a, x1, y1); x = y1 - (b / a) * x1; y = x1; return d; } inline long long phi(long long n) { long long result = n; for (long long i = 2; i * i <= n; ++i) if (n % i == 0) { while (n % i == 0) n /= i; result -= result / i; } if (n > 1) result -= result / n; return result; } inline vector<long long> inverseAll(long long m) { vector<long long> r(m); r[1] = 1; for (int i = 2; i < m; ++i) r[i] = (m - (m / i) * r[m % i] % m) % m; return r; } inline long long gcd(long long a, long long b) { return gcd(a, b, a, b); } inline long long lcm(long long a, long long b) { return a / gcd(a, b) * b; } inline long long llrand() { const long long lsbToFill = (sizeof(long long) << 3) - 1; const long long bitsFilledInIteration = __builtin_popcountll(RAND_MAX); long long number = 0; for (long long lsbFilled = 0; lsbFilled <= lsbToFill; lsbFilled += bitsFilledInIteration) { number ^= (((long long)rand()) << lsbFilled); } return number & numeric_limits<long long>::max(); } inline long long llrand(long long begin, long long end) { return begin + llrand() % (end - begin); } struct Dinic { struct Edge { int u, v; long long cap, flow; Edge() {} Edge(int u, int v, long long cap) : u(u), v(v), cap(cap), flow(0) {} }; int N; vector<Edge> E; vector<vector<int>> g; vector<int> d, pt; Dinic(int N) : N(N), E(0), g(N), d(N), pt(N) {} void AddEdge(int u, int v, long long cap) { if (u != v) { E.emplace_back(Edge(u, v, cap)); g[u].emplace_back(E.size() - 1); E.emplace_back(Edge(v, u, 0)); g[v].emplace_back(E.size() - 1); } } bool BFS(int S, int T) { queue<int> q({S}); fill(d.begin(), d.end(), N + 1); d[S] = 0; while (!q.empty()) { int u = q.front(); q.pop(); if (u == T) break; for (int k : g[u]) { Edge &e = E[k]; if (e.flow < e.cap && d[e.v] > d[e.u] + 1) { d[e.v] = d[e.u] + 1; q.emplace(e.v); } } } return d[T] != N + 1; } long long DFS(int u, int T, long long flow = -1) { if (u == T || flow == 0) return flow; for (int &i = pt[u]; i < g[u].size(); ++i) { Edge &e = E[g[u][i]]; Edge &oe = E[g[u][i] ^ 1]; if (d[e.v] == d[e.u] + 1) { long long amt = e.cap - e.flow; if (flow != -1 && amt > flow) amt = flow; if (long long pushed = DFS(e.v, T, amt)) { e.flow += pushed; oe.flow -= pushed; return pushed; } } } return 0; } long long MaxFlow(int S, int T) { long long total = 0; while (BFS(S, T)) { fill(pt.begin(), pt.end(), 0); while (long long flow = DFS(S, T)) total += flow; } return total; } }; vector<long long> Dijkstra(const vector<list<pair<int, long long>>> &g, int s) { vector<long long> d(int((g).size()), numeric_limits<long long>::max() / 2LL); priority_queue<pair<long long, int>> q; d[s] = 0; q.emplace(-0, s); while (!q.empty()) { while (q.top().first > d[q.top().second]) { q.pop(); } int v = q.top().second; q.pop(); for (const auto &cw : g[v]) { if (d[v] + cw.second < d[cw.first]) { d[cw.first] = d[v] + cw.second; q.emplace(-d[cw.first], cw.first); } } } return d; } struct BinarySearchIterator : public std::iterator<std::forward_iterator_tag, bool> { long long value; typename iterator_traits<BinarySearchIterator>::difference_type operator-( const BinarySearchIterator &it) const { return value - it.value; } BinarySearchIterator &operator++() { ++value; return *this; } bool operator!=(const BinarySearchIterator &it) const { return value != it.value; } bool operator*() const { return true; } }; template <int ALPHA> class AhoCorasick { public: static const int ILLEGAL_INDEX; static const int ROOT; struct Node { bool leaf; int parent; int parentCharacter; int link; int next[ALPHA]; int go[ALPHA]; int outputFunction; Node(int parent = ILLEGAL_INDEX, int parentCharacter = ALPHA) : leaf(false), parent(parent), parentCharacter(parentCharacter), link(ILLEGAL_INDEX), outputFunction(ILLEGAL_INDEX) { fill_n(next, ALPHA, ILLEGAL_INDEX); fill_n(go, ALPHA, ILLEGAL_INDEX); } }; vector<Node> tree = vector<Node>(1); AhoCorasick() {} AhoCorasick(int maxStatesNumber) { tree.reserve(maxStatesNumber); } template <class Iterator> void add(int length, const Iterator begin) { int vertex = ROOT; for (int i = 0; i < length; ++i) { if (ILLEGAL_INDEX == tree[vertex].next[begin[i]]) { tree[vertex].next[begin[i]] = int((tree).size()); tree.push_back(Node(vertex, begin[i])); } vertex = tree[vertex].next[begin[i]]; } tree[vertex].leaf = true; } int getLink(int vertex) { assert(0 <= vertex && vertex < tree.size()); if (ILLEGAL_INDEX == tree[vertex].link) { if (ROOT == vertex || ROOT == tree[vertex].parent) { tree[vertex].link = ROOT; } else { tree[vertex].link = go(getLink(tree[vertex].parent), tree[vertex].parentCharacter); } } return tree[vertex].link; } int go(int vertex, int character) { assert(0 <= character && character < ALPHA); assert(0 <= vertex && vertex < tree.size()); if (ILLEGAL_INDEX == tree[vertex].go[character]) { if (ILLEGAL_INDEX == tree[vertex].next[character]) { tree[vertex].go[character] = ROOT == vertex ? ROOT : go(getLink(vertex), character); } else { tree[vertex].go[character] = tree[vertex].next[character]; } } return tree[vertex].go[character]; } int getOutputFunction(int vertex) { assert(0 <= vertex && vertex < tree.size()); if (ILLEGAL_INDEX == tree[vertex].outputFunction) { if (tree[vertex].leaf || ROOT == vertex) { tree[vertex].outputFunction = vertex; } else { tree[vertex].outputFunction = getOutputFunction(getLink(vertex)); } } return tree[vertex].outputFunction; } }; template <int ALPHA> const int AhoCorasick<ALPHA>::ILLEGAL_INDEX = -1; template <int ALPHA> const int AhoCorasick<ALPHA>::ROOT = 0; struct UnionFind { vector<int> parent; vector<int> rank; UnionFind(int n) : parent(n), rank(n) { for (int i = 0; i < n; ++i) { parent[i] = i; rank[i] = 0; } } int find_set(int v) { if (v == parent[v]) return v; return parent[v] = find_set(parent[v]); } void union_sets(int a, int b) { a = find_set(a); b = find_set(b); if (a != b) { if (rank[a] < rank[b]) swap(a, b); parent[b] = a; if (rank[a] == rank[b]) ++rank[a]; } } }; template <class T> T assign(const T &a, const T &b) { return b; } template <class T> struct SegmentTree { int n; vector<T> t; function<T(const T &, const T &)> operation; T default_value; function<T(const T &, const T &)> modification; SegmentTree() {} SegmentTree(const int n, const function<T(T, T)> &operation, const T &default_value = T(), const function<T(T, T)> &modification = assign<T>) : SegmentTree(vector<T>(n, default_value), operation, default_value, modification) {} SegmentTree(const vector<T> &a, const function<T(T, T)> &operation, const T &default_value = T(), const function<T(T, T)> &modification = assign<T>) : n((int)a.size()), t(n << 1), operation(operation), default_value(default_value), modification(modification) { copy(a.begin(), a.end(), t.begin() + n); for (int i = n - 1; i > 0; --i) t[i] = operation(t[i << 1], t[i << 1 | 1]); } void modify(int p, T value) { p += n; for (t[p] = modification(t[p], value); p > 1; p >>= 1) t[p >> 1] = operation(t[p], t[p ^ 1]); } T query(int l, int r) const { T res = default_value; for (l += n, r += n; l < r; l >>= 1, r >>= 1) { if (l & 1) res = operation(res, t[l++]); if (r & 1) res = operation(res, t[--r]); } return res; } }; int main(int argc, const char *argv[]) { ios::sync_with_stdio(false); cin.tie(0); cout.precision(13); cout.setf(ios::fixed); srand((unsigned int)time(NULL)); int n, k, d; while (cin >> n >> k >> d) { vector<int> p(k); for (int i = 0; i < k; ++i) { cin >> p[i]; --p[i]; } vector<list<int>> g(n); map<pair<int, int>, int> edge2index; for (int i = 1; i < n; ++i) { int u, v; cin >> u >> v; --u; --v; g[u].push_back((v)); g[v].push_back((u)); edge2index[{min(u, v), max(u, v)}] = i; } list<int> q; vector<int> used(n, false); for (int v : p) { q.emplace_back(v); used[v] = true; } while (int((q).size())) { int v = q.front(); q.pop_front(); for (int c : g[v]) { if (!used[c]) { q.emplace_back(c); used[c] = true; edge2index.erase({min(v, c), max(v, c)}); } } } cout << int((edge2index).size()) << endl; for (const auto &edge_index : edge2index) { cout << edge_index.second << ' '; } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int has[300005]; vector<pair<int, int> > adj[300005]; int shut[300005]; bool vis[300005]; int dis[300005]; int p[300005]; int main() { int n, k, d; scanf("%d %d %d", &n, &k, &d); for (int i = 1; i <= k; i++) { int x; scanf("%d", &x); has[x] = 1; } for (int i = 0; i < n - 1; i++) { int u, v; scanf("%d %d", &u, &v); adj[u].push_back(pair<int, int>(v, i + 1)); adj[v].push_back(pair<int, int>(u, i + 1)); dis[i + 1] = 1e9; } queue<int> Q; for (int i = 1; i <= n; i++) if (has[i]) { vis[i] = 1; dis[i] = 0; Q.push(i); } while (!Q.empty()) { int u = Q.front(); Q.pop(); if (dis[u] > d) break; for (auto x : adj[u]) { int v = x.first, id = x.second; if (v == p[u]) continue; if (!vis[v]) { vis[v] = 1; p[v] = u; dis[v] = dis[u] + 1; Q.push(v); } else { shut[id] = 1; } } } int cnt = 0; for (int i = 1; i <= n; i++) if (shut[i]) cnt++; printf("%d\n", cnt); for (int i = 1; i <= n; i++) if (shut[i]) printf("%d\n", i); return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; const long long INFF = 0x3f3f3f3f3f3f3f3fll; const long long M = 1e9 + 7; const long long maxn = 3e6 + 7; const double eps = 0.00000001; long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; } template <typename T> inline T abs(T a) { return a > 0 ? a : -a; } int n, k, d; int i, j, t; int a[maxn]; vector<int> edge[maxn]; int from[maxn]; bool ans[maxn], mark[maxn]; int num; queue<int> Q; int u, v; int XOR[maxn]; int main() { scanf("%d%d%d", &n, &k, &d); for (i = 1; i <= k; i++) { scanf("%d", &j); if (!mark[j]) Q.push(j); mark[j] = 1; } for (i = 1; i <= n; i++) ans[i] = 0; for (i = 1; i <= n - 1; i++) { scanf("%d%d", &u, &v); edge[u].push_back(i); edge[v].push_back(i); XOR[i] = u ^ v; } while (!Q.empty()) { u = Q.front(); Q.pop(); for (i = 0; i < edge[u].size(); i++) { t = edge[u][i]; v = XOR[t] ^ u; if (from[u] == v) continue; if (mark[v]) ans[t] = 1; else { from[v] = u; mark[v] = 1; Q.push(v); } } } for (i = 1; i <= n; i++) num += ans[i]; printf("%d\n", num); for (i = 1; i <= n; i++) if (ans[i]) printf("%d ", i); }
#include <bits/stdc++.h> using namespace std; int n, k, d; int di[300055]; int par[300055]; bool have[300055]; set<pair<int, int> > g[300055]; queue<int> que; int main() { scanf("%d %d %d", &n, &k, &d); for (int i = 0; i < k; i++) { int x; scanf("%d", &x); x--; have[x] = true; } for (int i = 0; i + 1 < n; i++) { int x, y; scanf("%d %d", &x, &y); x--, y--; g[x].insert(pair<int, int>(y, i)); g[y].insert(pair<int, int>(x, i)); } memset(par, -1, sizeof(par)); memset(di, -1, sizeof(di)); for (int i = 0; i < n; i++) if (have[i]) { que.push(i); di[i] = 0; } while (!que.empty()) { int u = que.front(); que.pop(); for (auto p : g[u]) { if (di[p.first] < 0) { di[p.first] = di[u] + 1; par[p.first] = u; que.push(p.first); } } } set<int> res; for (int i = 0; i < n; i++) for (auto p : g[i]) { if (par[i] == p.first || par[p.first] == i) continue; res.insert(p.second); } printf("%d\n", (int)res.size()); bool flag = false; for (auto u : res) { if (flag) printf(" "); else flag = true; printf("%d", u + 1); } puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; int u[300005], v[300005]; vector<int> g[300005]; int p[300005], vis[300005]; vector<int> vec[2]; vector<int> V[2][300005]; int main() { int n, k, d; scanf("%d%d%d", &n, &k, &d); for (int i = 1; i <= k; ++i) { int x; scanf("%d", &x); p[x] = 1; } for (int i = 1; i <= n - 1; ++i) { scanf("%d%d", u + i, v + i); g[u[i]].push_back(v[i]); g[v[i]].push_back(u[i]); } int cnt = 0; for (int i = 1; i <= n; ++i) if (p[i]) { vis[i] = ++cnt; vec[0].push_back(cnt); V[0][cnt].push_back(i); } int now = 0; for (int i = 1; i <= d; ++i) { int nex = now ^ 1; vec[nex].clear(); for (int j = 0; j < (int)vec[now].size(); ++j) { int curid = vec[now][j]; V[nex][curid].clear(); for (int _ = 0; _ < (int)V[now][curid].size(); ++_) { int x = V[now][curid][_]; for (int k = 0; k < (int)g[x].size(); ++k) { int y = g[x][k]; if (!vis[y]) { vis[y] = curid; V[nex][curid].push_back(y); } } } if (V[nex][curid].size()) vec[nex].push_back(curid); } now = nex; } vector<int> ans; for (int i = 1; i <= n - 1; ++i) if (vis[u[i]] != vis[v[i]]) ans.push_back(i); printf("%d\n", (int)ans.size()); for (int i = 0; i < (int)ans.size(); ++i) { if (i) putchar(' '); printf("%d", ans[i]); } puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; int D[300001]; int P[300001]; bool S[300001]; vector<pair<int, int>> G[300001]; void solve() { int n, k, d, x, u, v; cin >> n >> k >> d; for (int i = 0; i < k; ++i) { cin >> x; S[x] = true; } for (int i = 1; i < n; ++i) { cin >> u >> v; G[u].push_back({v, i}); G[v].push_back({u, i}); } queue<int> Q; fill(D, D + n + 1, -1); fill(P, P + n + 1, -1); for (int i = 1; i <= n; ++i) if (S[i]) { D[i] = 0; Q.push(i); } vector<int> ans; while (!Q.empty()) { int k = Q.front(); Q.pop(); for (auto const& u : G[k]) { if (P[k] == u.first) continue; if (D[u.first] != -1) { if (k < u.first) ans.push_back(u.second); } else { D[u.first] = D[k] + 1; P[u.first] = k; Q.push(u.first); } } } cout << ans.size() << '\n'; for (int k : ans) cout << k << ' '; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, k, d; scanf("%d%d%d", &n, &k, &d); vector<int> station = vector<int>(n, 0); for (size_t i = 0; i < k; i++) { int st; scanf("%d", &st); st--; station[st] = 1; } vector<vector<pair<int, int> > > AdjList = vector<vector<pair<int, int> > >(n, vector<pair<int, int> >()); for (size_t i = 0; i < n - 1; i++) { int u, v; scanf("%d%d", &u, &v); u--; v--; AdjList[u].push_back(pair<int, int>(v, i)); AdjList[v].push_back(pair<int, int>(u, i)); } vector<int> dist = vector<int>(n, -1); vector<int> distEdge = vector<int>(n - 1, 0); queue<pair<int, int> > q = queue<pair<int, int> >(); for (size_t i = 0; i < n; i++) { if (station[i]) { q.push(pair<int, int>(0, i)); dist[i] = 0; } } int ans = 0; vector<int> ans_ = vector<int>(); while (!q.empty()) { pair<int, int> top = q.front(); q.pop(); int d = top.first; int u = top.second; for (size_t i = 0; i < AdjList[u].size(); i++) { pair<int, int> v = AdjList[u][i]; if (distEdge[v.second]) continue; distEdge[v.second] = 1; if (dist[v.first] == -1) { dist[v.first] = d + 1; q.push(pair<int, int>(d + 1, v.first)); } else { ans++; ans_.push_back(v.second); } } } printf("%d\n", ans); for (int i = 0; i < ans_.size(); i++) { printf("%d", ans_[i] + 1); if (i == ans_.size() - 1) { printf("\n"); } else printf(" "); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6; int n, k, d; vector<pair<int, int> > G[N]; bool mk[N], frozen[N]; int from[N]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cin >> n >> k >> d; queue<int> q; memset(from, -1, sizeof from); for (int i = 0; i < k; i++) { int x; cin >> x; q.push(x); from[x] = x; mk[x] = true; } for (int i = 1; i <= n - 1; i++) { int u, v; cin >> u >> v; G[u].push_back({v, i}); G[v].push_back({u, i}); } while (!q.empty()) { int u = q.front(); q.pop(); for (auto pp : G[u]) { int v = pp.first; if (!mk[v]) { mk[v] = true; from[v] = from[u]; q.push(v); } } } for (int i = 1; i <= n; i++) { for (auto pp : G[i]) { int v = pp.first; int idx = pp.second; if (from[i] != from[v]) { frozen[idx] = true; } } } int res = count(frozen + 1, frozen + 1 + n - 1, true); cout << res << '\n'; for (int i = 1; i <= n - 1; i++) { if (frozen[i]) cout << i << " "; } cout << '\n'; }
#include <bits/stdc++.h> using namespace std; int n, k, d; map<pair<int, int>, int> check; vector<int> adj[300001]; int dis[300001]; set<int> uniquee; int parr[300001] = {0}; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cin >> n >> k >> d; queue<pair<int, int> > qu; int j; for (j = 1; j <= n; j++) { dis[j] = -1; } for (j = 0; j < k; j++) { int a; cin >> a; if (dis[a] == -1) { dis[a] = 0; qu.push(make_pair(a, 0)); } } int a, b; for (j = 0; j < n - 1; j++) { cin >> a >> b; adj[a].push_back(b); adj[b].push_back(a); check[make_pair(a, b)] = j + 1; check[make_pair(b, a)] = j + 1; } while (!qu.empty()) { int node = qu.front().first; int dist = qu.front().second; qu.pop(); int j; for (j = 0; j < adj[node].size(); j++) { if (dis[adj[node][j]] == -1) { parr[adj[node][j]] = node; dis[adj[node][j]] = dist + 1; qu.push(make_pair(adj[node][j], dist + 1)); } else if (parr[node] != adj[node][j]) { int aa = check[make_pair(node, adj[node][j])]; uniquee.insert(aa); } } } cout << uniquee.size() << "\n"; set<int>::iterator it; for (it = uniquee.begin(); it != uniquee.end(); it++) { cout << *it << " "; } cout << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 300005; struct Edge { int to, id; }; int N, K, D; queue<int> Q; vector<Edge> G[MAXN]; bool vis[MAXN], used[MAXN]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> N >> K >> D; for (int i = 0; i < K; i++) { int x; cin >> x; Q.push(x); vis[x] = true; } for (int i = 0; i < N - 1; i++) { int u, v; cin >> u >> v; G[u].push_back({v, i + 1}); G[v].push_back({u, i + 1}); } while (!Q.empty()) { int v = Q.front(); Q.pop(); for (Edge &e : G[v]) { if (!vis[e.to]) { vis[e.to] = true; used[e.id] = true; Q.push(e.to); } } } vector<int> ans; for (int i = 1; i <= N - 1; i++) { if (!used[i]) { ans.push_back(i); } } cout << ans.size() << '\n'; for (int i = 0; i < ans.size(); i++) { cout << ans[i] << (i + 1 < ans.size() ? ' ' : '\n'); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = (int)1e6 + 42 + 17; int n, a[MAXN], pc, d, par[MAXN]; vector<int> adj[MAXN]; vector<pair<int, int> > P; int dist[MAXN]; pair<int, int> e[MAXN]; void mainp() { cin >> n >> pc >> d; for (int i = 0; i < pc; i++) cin >> a[i]; for (int i = 0; i < n - 1; i++) { int u, v; cin >> u >> v; adj[v].push_back(u); adj[u].push_back(v); e[i + 1] = {u, v}; } memset(dist, -1, sizeof(dist)); queue<int> q; for (int i = 0; i < pc; i++) { q.push(a[i]); par[a[i]] = -1; dist[a[i]] = 0; } while (!q.empty()) { int u = q.front(); q.pop(); for (int i = 0; i < adj[u].size(); i++) { int v = adj[u][i]; if (dist[v] == -1) { dist[v] = dist[u] + 1; par[v] = u; q.push(v); } } } map<pair<int, int>, bool> has; for (int i = 1; i <= n; i++) if (par[i] != -1) { has[{i, par[i]}] = 1; has[{par[i], i}] = 1; } vector<int> ans; for (int i = 1; i < n; i++) if (!has.count(e[i])) ans.push_back(i); cout << ans.size() << '\n'; for (int x : ans) cout << x << " "; cout << '\n'; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); mainp(); return 0; }
#include <bits/stdc++.h> using namespace std; void fre() { freopen("c://test//input.in", "r", stdin); freopen("c://test//output.out", "w", stdout); } template <class T1, class T2> inline void gmax(T1 &a, T2 b) { if (b > a) a = b; } template <class T1, class T2> inline void gmin(T1 &a, T2 b) { if (b < a) a = b; } const int N = 5005, M = 0, Z = 1e9 + 7; const int inf = 0x3f3f3f3f; template <class T1, class T2> inline void gadd(T1 &a, T2 b) { a = (a + b) % Z; } int casenum, casei; int n, m; int f[N][N]; int d[N][N]; int v[N]; int c[N]; vector<int> a[N]; int sz[N]; void dfs(int x) { f[x][0] = d[x][0] = sz[x] = 0; for (auto y : a[x]) { dfs(y); for (int i = sz[x]; ~i; --i) { for (int j = 1; j <= sz[y]; ++j) { gmin(f[x][i + j], f[x][i] + f[y][j]); gmin(f[x][i + j], f[x][i] + d[y][j]); gmin(d[x][i + j], d[x][i] + d[y][j]); } } sz[x] += sz[y]; } ++sz[x]; for (int i = sz[x]; i; --i) { f[x][i] = min(f[x][i - 1] + v[x] - c[x], inf); gmin(d[x][i], d[x][i - 1] + v[x]); } } int main() { while (~scanf("%d%d", &n, &m)) { memset(f, 63, sizeof(f)); memset(d, 63, sizeof(d)); for (int i = 1; i <= n; ++i) { a[i].clear(); scanf("%d%d", &v[i], &c[i]); if (i > 1) { int fa; scanf("%d", &fa); a[fa].push_back(i); } } dfs(1); int ans = 0; for (int i = 1; i <= n; ++i) { if (f[1][i] <= m || d[1][i] <= m) { gmax(ans, i); } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; #pragma warning(disable : 4996) int b, sz[5001], c[5001], d[5001], f[5001][5001][2]; vector<int> son[5001]; void dp(int x) { sz[x] = 1; f[x][1][0] = c[x]; f[x][1][1] = c[x] - d[x]; for (int i = 0; i < son[x].size(); i++) { int now = son[x][i]; dp(now); for (int j = sz[x]; j >= 0; j--) for (int k = sz[now]; k; k--) { f[x][j + k][0] = min(f[x][j + k][0], f[x][j][0] + f[now][k][0]); if (j) f[x][j + k][1] = min(f[x][j + k][1], f[x][j][1] + min(f[now][k][0], f[now][k][1])); } sz[x] += sz[now]; } } int main() { int n; scanf("%d%d", &n, &b); for (int i = 1; i <= n; i++) { scanf("%d%d", &c[i], &d[i]); if (i > 1) { int x; scanf("%d", &x); son[x].push_back(i); } } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) f[i][j][0] = f[i][j][1] = 1000000001; dp(1); for (int i = n; i >= 0; i--) if (min(f[1][i][0], f[1][i][1]) <= b) { printf("%d", i); break; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 5e3 + 5; const int inf = 1e9 + 1; const int mod = 1e9 + 7; const double eps = 1e-15; const int pw = 257; int n, b, f[N][N], g[N][N], c[N], d[N], s[N]; vector<int> t[N]; void dfs(int v) { ++s[v]; for (int i = 0; i < int(t[v].size()); ++i) { int to = t[v][i]; dfs(to); for (int j = 0; j <= s[v]; ++j) { c[j] = f[v][j]; d[j] = g[v][j]; } for (int j = 0; j <= s[v]; ++j) { for (int k = 0; k <= s[to]; ++k) { g[v][j + k] = min(g[v][j + k], d[j] + g[to][k]); if (j >= 1) f[v][j + k] = min(f[v][j + k], c[j] + f[to][k]); } } s[v] += s[to]; } for (int j = 0; j <= s[v]; ++j) f[v][j] = min(f[v][j], g[v][j]); } int main() { ios_base ::sync_with_stdio(false); cin.tie(NULL); cin >> n >> b; for (int i = 1; i <= n; ++i) { for (int j = 2; j <= n; ++j) f[i][j] = g[i][j] = inf; int c, d; cin >> c >> d; f[i][1] = c - d; g[i][1] = c; if (i != 1) { int x; cin >> x; t[x].push_back(i); } } dfs(1); int ans; for (int j = 0; j <= n; ++j) if (f[1][j] <= b) ans = j; cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; const int maxn = 5000 + 5; int n, m; int pa[maxn], pb[maxn]; int sz[maxn]; int d[maxn][maxn][2]; vector<int> g[maxn]; void dfs(int u) { sz[u] = 1; d[u][0][0] = 0, d[u][1][0] = pa[u], d[u][1][1] = pa[u] - pb[u]; for (int i = 0; i < g[u].size(); i++) { int v = g[u][i]; dfs(v); for (int j = sz[u]; j >= 0; j--) { for (int k = 0; k <= sz[v]; k++) { d[u][j + k][0] = min(d[u][j + k][0], d[u][j][0] + d[v][k][0]); d[u][j + k][1] = min(d[u][j + k][1], min(d[u][j][1] + d[v][k][1], d[u][j][1] + d[v][k][0])); } } sz[u] += sz[v]; } } int main() { while (~scanf("%d%d", &n, &m)) { for (int i = 1; i <= n; i++) g[i].clear(); for (int i = 1; i <= n; i++) { scanf("%d%d", &pa[i], &pb[i]); if (i > 1) { int x; scanf("%d", &x); g[x].push_back(i); } } memset(d, INF, sizeof(d)); dfs(1); int i; for (i = 0; i <= n; i++) { if (min(d[1][i][0], d[1][i][1]) > m) break; } printf("%d\n", i - 1); } return 0; }
#include <bits/stdc++.h> using namespace std; int h[5005], ne[5005], to[5005], en = 0; unsigned int dp[5005][5005][2], tmp[5005][2]; int n, b, c[5005], d[5005], siz[5005]; void add(int a, int b) { to[en] = b; ne[en] = h[a]; h[a] = en++; } void Tree_DP(int o) { for (int i = 0; i <= n; ++i) dp[o][i][0] = dp[o][i][1] = 2100000000; dp[o][1][1] = c[o] - d[o]; dp[o][1][0] = c[o]; dp[o][0][0] = 0; siz[o] = 1; for (int i = h[o]; i >= 0; i = ne[i]) { Tree_DP(to[i]); for (int j = 0; j <= siz[o] + siz[to[i]]; ++j) tmp[j][0] = tmp[j][1] = 2100000000; for (int j = 0; j <= siz[o]; ++j) for (int k = 0; k <= siz[to[i]]; ++k) { if (dp[o][j][0] < 2100000000 && dp[to[i]][k][0] < 2100000000) tmp[j + k][0] = min((long long)tmp[j + k][0], (long long)dp[o][j][0] + (long long)dp[to[i]][k][0]); if (dp[o][j][1] < 2100000000 && dp[to[i]][k][1] < 2100000000) tmp[j + k][1] = min((long long)tmp[j + k][1], (long long)dp[o][j][1] + dp[to[i]][k][1]); if (dp[o][j][1] < 2100000000 && dp[to[i]][k][0] < 2100000000) tmp[j + k][1] = min((long long)tmp[j + k][1], (long long)dp[o][j][1] + dp[to[i]][k][0]); } for (int j = 0; j <= siz[o] + siz[to[i]]; ++j) { dp[o][j][0] = tmp[j][0]; dp[o][j][1] = tmp[j][1]; } siz[o] += siz[to[i]]; } return; } int main() { memset(h, -1, sizeof h); scanf("%d%d", &n, &b); for (int i = 1; i <= n; ++i) { scanf("%d%d", &c[i], &d[i]); int x; if (i != 1) { scanf("%d", &x); add(x, i); } } Tree_DP(1); int ans = 0; for (int i = n; i >= 0; --i) if (min(dp[1][i][0], dp[1][i][1]) <= (unsigned int)b) ans = max(ans, i); printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; int n, b, c[5002], d[5002], sub[5005]; vector<int> v[5005]; vector<long long> g[5005]; long long f[5005][5005]; multimap<int, int>* havec[5005]; void merge(multimap<int, int>& sm, multimap<int, int>& big) { auto it = sm.begin(); while (it != sm.end()) { big.insert(multimap<int, int>::value_type(it->first, 1)); ++it; } } void prego(int now) { (*havec[now]).insert(multimap<int, int>::value_type(c[now], 1)); f[now][0] = 0; for (int i = 0; i < v[now].size(); i++) { int next = v[now][i]; prego(next); if ((int)(*havec[now]).size() < (int)(*havec[next]).size()) { merge(*havec[now], *havec[next]); havec[now] = havec[next]; } else { merge(*havec[next], *havec[now]); havec[next] = havec[now]; } for (int j = sub[now]; j >= 0; j--) { for (int k = 1; k <= sub[next]; k++) { f[now][j + k] = min(f[now][j + k], f[now][j] + f[next][k]); } } sub[now] += sub[next]; } sub[now]++; for (int i = sub[now]; i >= 1; i--) { f[now][i] = f[now][i - 1] + (long long)(c[now] - d[now]); } g[now].resize(sub[now] + 1); auto it = (*havec[now]).begin(); for (int j = 1; j <= sub[now]; j++) { g[now][j] = g[now][j - 1] + (long long)it->first; f[now][j] = min(f[now][j], g[now][j]); ++it; } } int main() { scanf("%d %d", &n, &b); for (int i = 1; i <= n; i++) { havec[i] = new multimap<int, int>(); for (int j = 0; j <= n; j++) { f[i][j] = 1e15; } } scanf("%d %d", &c[1], &d[1]); for (int par, i = 2; i <= n; i++) { scanf("%d %d %d", &c[i], &d[i], &par); v[par].push_back(i); } prego(1); int ans = 0; for (int i = 1; i <= n; i++) { if (f[1][i] <= b) { ans = i; } else break; } printf("%d\n", ans); free(havec[1]); }
#include <bits/stdc++.h> using namespace std; const int SIZE = 5050; inline int read() { int x = 0; char ch = getchar(); while (ch < '0' || ch > '9') { ch = getchar(); } while (ch >= '0' && ch <= '9') { x = (x << 1) + (x << 3) + (ch ^ 48); ch = getchar(); } return x; } int n, money, num_edge; int num[SIZE], low[SIZE], son[SIZE], head[SIZE], siz[SIZE]; int dp[SIZE][SIZE][2]; struct node { int to, nxt; }; node edge[SIZE]; inline void add(int u, int v) { edge[++num_edge].to = v; edge[num_edge].nxt = head[u]; head[u] = num_edge; } void dfs(int u) { siz[u] = 1; dp[u][0][0] = 0; dp[u][1][0] = num[u]; dp[u][1][1] = num[u] - low[u]; for (int i = head[u]; i; i = edge[i].nxt) { int v = edge[i].to; dfs(v); for (int j = siz[u]; j >= 0; --j) { for (int k = 0; k <= siz[v]; ++k) { dp[u][j + k][0] = min(dp[u][j + k][0], dp[u][j][0] + dp[v][k][0]); dp[u][j + k][1] = min(dp[u][j + k][1], dp[u][j][1] + dp[v][k][1]); dp[u][j + k][1] = min(dp[u][j + k][1], dp[u][j][1] + dp[v][k][0]); } } siz[u] += siz[v]; } } int main() { n = read(); money = read(); num[1] = read(); low[1] = read(); for (int i = 2; i <= n; ++i) { num[i] = read(); low[i] = read(); son[i] = read(); add(son[i], i); } memset(dp, 0x3f, sizeof(dp)); dp[1][1][1] = num[1] - low[1]; dfs(1); for (int i = n; i >= 1; --i) { if (dp[1][i][1] <= money || dp[1][i][0] <= money) { printf("%d\n", i); return 0; } } printf("0\n"); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 5010; vector<long long> dp[2][maxn]; vector<int> vect[maxn]; long long c[maxn], d[maxn], b, inf = 1e18; int sz[maxn], n; void go_sz(int x) { sz[x] = 1; for (int i = 0; i < vect[x].size(); i++) { int id = vect[x][i]; go_sz(id); sz[x] += sz[id]; } } void go(int x) { dp[1][x].resize(sz[x] + 1); dp[0][x].resize(sz[x] + 1); fill(dp[1][x].begin(), dp[1][x].end(), inf); fill(dp[0][x].begin(), dp[0][x].end(), inf); dp[0][x][0] = 0; dp[0][x][1] = c[x]; dp[1][x][0] = 0; dp[1][x][1] = c[x] - d[x]; int pom = 1; for (int i = 0; i < vect[x].size(); i++) { int id = vect[x][i]; go(id); for (int j = pom; j >= 1; j--) { for (int k = sz[id]; k >= 1; k--) { if (dp[1][x][j] == inf) continue; dp[1][x][j + k] = min(dp[1][x][j + k], dp[1][x][j] + dp[0][id][k]); dp[1][x][j + k] = min(dp[1][x][j + k], dp[1][x][j] + dp[1][id][k]); } } for (int j = pom; j >= 0; j--) { for (int k = sz[id]; k >= 1; k--) { if (dp[0][x][j] == inf) continue; dp[0][x][j + k] = min(dp[0][x][j + k], dp[0][x][j] + dp[0][id][k]); } } pom += sz[id]; } } int main() { scanf("%d %lld", &n, &b); for (int i = 1; i <= n; i++) { scanf("%lld %lld", &c[i], &d[i]); if (i > 1) { int u; scanf("%d", &u); vect[u].push_back(i); } } go_sz(1); go(1); for (int i = n; i >= 0; i--) { if (dp[0][1][i] <= b || dp[1][1][i] <= b) { printf("%d\n", i); return 0; } } return 0; }
#include <bits/stdc++.h> using namespace std; void get(int &v) { char c; while ((c = getchar()) != EOF && isdigit(c) == 0) ; v = c - '0'; while ((c = getchar()) != EOF && isdigit(c)) v = (v << 3) + (v << 1) + c - '0'; return; } int get() { char c; int v; while ((c = getchar()) != EOF && isdigit(c) == 0) ; v = c - '0'; while ((c = getchar()) != EOF && isdigit(c)) v = (v << 3) + (v << 1) + c - '0'; return v; } struct node { int v; node *next; } * adj[5000 + 4], edge[5000 + 4], *CNT = edge; struct xjb { int c, d, v; node *s; } goods[5000 + 4]; int f[5000 + 4][5000 + 4], g[5000 + 4][5000 + 4]; int subtreesz[5000 + 4]; void addedge(int u, int v) { node *p = ++CNT; p->v = v; p->next = goods[u].s; goods[u].s = p; return; } void dfs(int s) { node *p; int i, j; f[s][1] = goods[s].c - goods[s].d; g[s][0] = 0; g[s][1] = goods[s].c; subtreesz[s] = 1; for (p = goods[s].s; p; p = p->next) { dfs(p->v); for (i = subtreesz[s]; ~i; i--) for (j = subtreesz[p->v]; j; j--) { f[s][i + j] = min(f[s][i + j], f[s][i] + min(f[p->v][j], g[p->v][j])); g[s][i + j] = min(g[s][i + j], g[s][i] + g[p->v][j]); } subtreesz[s] += subtreesz[p->v]; } return; } int main() { int n, i, Lim; get(n); get(Lim); for (i = 1; i <= n; i++) { get(goods[i].c); get(goods[i].d); if (i > 1) addedge(get(), i); } memset(f, 0x3f, sizeof(f)); memset(g, 0x3f, sizeof(g)); dfs(1); for (i = 0; i < n && (min(f[1][i + 1], g[1][i + 1]) <= Lim); i++) ; printf("%d", i); return 0; }
#include <bits/stdc++.h> using namespace std; using lli = long long int; using pii = pair<int, int>; using vi = vector<int>; using vb = vector<bool>; using vvi = vector<vector<int>>; using vlli = vector<long long int>; using vpii = vector<pair<int, int>>; int n, b, x, ans, f[5005][5005], g[5005][5005]; vi c, d, sz; vvi adj; void init() { adj.resize(n + 1); c.resize(n + 1); d.resize(n + 1); sz.assign(n + 1, 0); memset(f, 0x3f3f3f3f, sizeof f); memset(g, 0x3f3f3f3f, sizeof g); } void dfs(int u) { f[u][1] = c[u] - d[u]; g[u][1] = c[u]; g[u][0] = 0; sz[u]++; int curr = 1; for (auto v : adj[u]) dfs(v), sz[u] += sz[v]; for (auto v : adj[u]) { for (int i = curr; i >= 0; i--) for (int j = sz[v]; j >= 1; j--) { f[u][i + j] = min(f[u][i + j], f[u][i] + min(f[v][j], g[v][j])); g[u][i + j] = min(g[u][i + j], g[u][i] + g[v][j]); } curr += sz[v]; } } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n >> b; init(); cin >> c[1] >> d[1]; for (int i = 2; i <= n; i++) { cin >> c[i] >> d[i] >> x; adj[x].push_back(i); } dfs(1); for (int i = 1; i <= n; i++) if (min(f[1][i], g[1][i]) <= b) ans = max(ans, i); cout << ans; }
#include <bits/stdc++.h> using namespace std; inline int ReadInt() { int o = 0, ch = getchar(); while (!isdigit(ch)) ch = getchar(); while (isdigit(ch)) o = o * 10 + ch - '0', ch = getchar(); return o; } int n, b, q, c[5000 + 10], d[5000 + 10], sz[5000 + 10], dp[5000 + 10][5000 + 10][2]; vector<int> g[5000 + 10]; void dfs(int u) { dp[u][0][0] = 0; dp[u][1][0] = c[u]; dp[u][1][1] = c[u] - d[u]; sz[u] = 1; for (auto v : g[u]) { dfs(v); for (int i = sz[u]; i >= 0; i--) { for (int j = sz[v]; j >= 0; j--) { dp[u][i + j][0] = min(dp[u][i + j][0], dp[u][i][0] + dp[v][j][0]); dp[u][i + j][1] = min(dp[u][i + j][1], dp[u][i][1] + min(dp[v][j][0], dp[v][j][1])); } } sz[u] += sz[v]; } } int main() { while (~scanf("%d%d", &n, &b)) { for (int i = 0; i <= n; i++) g[i].clear(); memset(dp, 60, sizeof(dp)); for (int i = 1, x; i <= n; i++) { c[i] = ReadInt(); d[i] = ReadInt(); if (i >= 2) { x = ReadInt(); g[x].push_back(i); } } dfs(1); int ans; for (int i = 0; i <= n; i++) if (min(dp[1][i][1], dp[1][i][0]) <= b) ans = i; printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, b; int c[5005], d[5005]; int f[5005][5005]; int g[5005][5005]; int sz[5005], fat[5005]; vector<int> vec[5005]; void init() { for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) f[i][j] = g[i][j] = 1000000002; } void dfs(int v, int w) { sz[v]++; int mas = -1, num = -1; for (int i = 0; i < vec[v].size(); i++) { int to = vec[v][i]; if (to == w) continue; dfs(to, v); sz[v] += sz[to]; if (sz[to] > mas) { mas = sz[to]; num = to; } } fat[v] = num; } void solve(int v, int w) { int *f2; int *g2; int SZ = sz[v] + 5; f2 = new int[SZ]; g2 = new int[SZ]; f2[0] = g2[0] = 0; for (int i = 1; i < SZ; i++) f2[i] = g2[i] = 1000000002; f[v][1] = f2[1] = c[v] - d[v]; g[v][1] = g2[1] = c[v]; int sum = 1; for (int q = 0; q < vec[v].size(); q++) { int to = vec[v][q]; if (to == w) continue; solve(to, v); if (to == fat[v]) continue; for (int i = 1; i <= sum + sz[to]; i++) { for (int j = max(0, i - sum); j <= min(sz[to], i - 1); j++) f2[i] = min(f2[i], f[v][i - j] + f[to][j]); for (int j = max(0, i - sum); j <= min(sz[to], i); j++) g2[i] = min(g2[i], g[v][i - j] + g[to][j]); } sum += sz[to]; for (int i = 1; i <= sum; i++) { f[v][i] = min(f[v][i], f2[i]); g[v][i] = min(g[v][i], g2[i]); f2[i] = 1000000002; g2[i] = 1000000002; } } if (fat[v] == -1) return; int to = fat[v]; if (sz[to] > sz[v] - sz[to]) { for (int i = 1; i <= sz[v]; i++) { for (int j = 1; j <= min(sz[v] - sz[to], i); j++) f2[i] = min(f2[i], f[v][j] + f[to][i - j]); for (int j = 0; j <= min(sz[v] - sz[to], i); j++) g2[i] = min(g2[i], g[v][j] + g[to][i - j]); } } else { for (int i = 1; i <= sz[v]; i++) { for (int j = 0; j <= min(sz[to], i - 1); j++) f2[i] = min(f2[i], f[v][i - j] + f[to][j]); for (int j = 0; j <= min(sz[to], i); j++) g2[i] = min(g2[i], g[v][i - j] + g[to][j]); } } for (int i = 1; i <= sz[v]; i++) { f[v][i] = min(f[v][i], f2[i]); g[v][i] = min(g[v][i], g2[i]); f[v][i] = min(f[v][i], g[v][i]); } delete[] f2; delete[] g2; } int main() { ios_base::sync_with_stdio(0); cin >> n >> b; for (int i = 1; i <= n; i++) { cin >> c[i] >> d[i]; if (i > 1) { int u; cin >> u; vec[i].push_back(u); vec[u].push_back(i); } } init(); dfs(1, 0); solve(1, 0); while (f[1][n] > b) n--; cout << n << endl; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:1073741824") using namespace std; const int MAXN = 5100; int c[MAXN], d[MAXN], sz[MAXN]; long long int dp[MAXN][MAXN]; vector<int> v[MAXN]; bool cmp(int a, int b) { return v[a].size() < v[b].size(); } void cSize(int node) { sz[node] = 1; for (int to : v[node]) { cSize(to); sz[node] += sz[to]; } sort(v[node].begin(), v[node].end(), cmp); } void dfs(int node, vector<int> &a) { dp[node][1] = c[node] - d[node]; dp[node][0] = 0; vector<int> ma; int s = 1; for (int to : v[node]) { dfs(to, ma); for (int i = s; i >= 1; i--) for (int j = 1; j <= sz[to]; j++) dp[node][i + j] = min(dp[node][i + j], dp[node][i] + dp[to][j]); s += sz[to]; } ma.push_back(c[node]); a.insert(a.end(), ma.begin(), ma.end()); sort(ma.begin(), ma.end()); long long int sum = 0; for (int i = 1; i <= ma.size(); i++) { sum += ma[i - 1]; dp[node][i] = min(dp[node][i], sum); } } int main() { #pragma warning(disable : 4996) int n, b; scanf("%d%d", &n, &b); memset(dp, 127, sizeof(dp)); ; scanf("%d%d", &c[0], &d[0]); for (int i = 1; i < n; i++) { int p; scanf("%d%d%d", &c[i], &d[i], &p); v[p - 1].push_back(i); } vector<int> a; cSize(0); dfs(0, a); for (int i = 0; i <= n; i++) { if (dp[0][i + 1] > b) { printf("%d", i); return 0; } } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T1, typename T2> void Max(T1& a, T2 b) { a = max(a, (T1)b); } template <typename T1, typename T2> void Min(T1& a, T2 b) { a = min(a, (T1)b); } const int N = 5000, inf = 1e9 + 1; vector<long long> g[N]; long long c[N], d[N]; vector<long long> f[N][2]; void calc(long long i) { vector<long long> t[2]; for (int it = 0; it < (2); ++it) { bool cur = 0; t[0].clear(); if (!it) t[0].push_back(c[i]); else t[0].push_back(c[i] - d[i]); for (auto& e : g[i]) { cur = !cur; t[cur].assign(t[!cur].size() + f[e][it].size(), inf); for (int j = 0; j < (t[!cur].size()); ++j) Min(t[cur][j], t[!cur][j]); if (!it) for (int k = 0; k < (f[e][it].size()); ++k) Min(t[cur][k], f[e][it][k]); for (int j = 0; j < (t[!cur].size()); ++j) for (int k = 0; k < (f[e][it].size()); ++k) Min(t[cur][j + k + 1], t[!cur][j] + f[e][it][k]); } f[i][it].swap(t[cur]); } assert(f[i][0].size() == f[i][1].size()); for (int j = 0; j < (f[i][0].size()); ++j) Min(f[i][1][j], f[i][0][j]); } void solve() { long long n, b, v; cin >> n >> b; for (int i = 0; i < (n); ++i) { cin >> c[i] >> d[i]; if (i) { cin >> v; g[--v].push_back(i); } } for (int i = n - 1; i >= (0); --i) calc(i); long long ans = upper_bound(f[0][1].begin(), f[0][1].end(), b) - f[0][1].begin(); cout << ans << '\n'; } void init() {} int main(void) { ios::sync_with_stdio(false); cin.tie(0); cout.setf(ios::fixed); cout.precision(20); init(); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; 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 = 10 * x + ch - '0'; ch = getchar(); } return x * f; } const int Size = 5005; int n, b, c[Size], d[Size]; struct Edge { int v, next; } G[Size << 1]; int cnt, head[Size], siz[Size]; void AddEdge(int u, int v) { G[++cnt].v = v; G[cnt].next = head[u]; head[u] = cnt; } int dp1[Size][Size], dp2[Size][Size]; void Debug() { for (int i = 1; i <= n; i++) printf("%d ", dp1[1][i]); putchar(10); for (int i = 1; i <= n; i++) printf("%d ", dp2[1][i]); putchar(10); } void dfs(int x) { dp2[x][0] = 0; dp1[x][1] = c[x] - d[x]; dp2[x][1] = c[x]; siz[x] = 1; for (int i = head[x]; i; i = G[i].next) { int nxt = G[i].v; dfs(nxt); for (int j = siz[x]; j >= 0; j--) { for (int k = 0; k <= siz[nxt]; k++) { dp1[x][j + k] = min(dp1[x][j + k], dp1[x][j] + dp1[nxt][k]); dp1[x][j + k] = min(dp1[x][j + k], dp1[x][j] + dp2[nxt][k]); dp2[x][j + k] = min(dp2[x][j + k], dp2[x][j] + dp2[nxt][k]); } } siz[x] += siz[nxt]; } } void init() { memset(dp1, 0x3f, sizeof(dp1)); memset(dp2, 0x3f, sizeof(dp2)); n = read(); b = read(); c[1] = read(); d[1] = read(); for (int i = 2; i <= n; i++) { c[i] = read(); d[i] = read(); int fa = read(); AddEdge(fa, i); } } int main() { init(); dfs(1); int ans = -1; for (int i = 1; i <= n; i++) { if (dp1[1][i] > b && dp2[1][i] > b) { ans = i - 1; break; } } printf("%d", ans == -1 ? n : ans); return 0; }
#include <bits/stdc++.h> using namespace std; void ob(vector<long long> &a, vector<long long> &b) { vector<long long> it(a.size() + b.size(), 1e15); for (int i = it.size() - 1; i >= 0; i--) { if (i < a.size()) it[i] = a[i]; for (int q = max((long long)0, i - (long long)b.size()); q < a.size() && q + 1 <= i; q++) { it[i] = min(it[i], a[q] + b[i - q - 1]); } } a = it; } pair<vector<long long>, vector<long long>> rek(vector<long long> &cen, vector<long long> &kyp, vector<vector<int>> &grap, long long now) { pair<vector<long long>, vector<long long>> pai; vector<long long> a{cen[now] - kyp[now]}, b{cen[now]}; for (int i = 0; i < grap[now].size(); i++) { pai = rek(cen, kyp, grap, grap[now][i]); ob(a, pai.first); for (int q = 0; q < pai.second.size(); q++) { b.push_back(pai.second[q]); } } sort(b.begin(), b.end()); vector<long long> pr{b[0]}; for (int i = 1; i < b.size(); i++) { pr.push_back(b[i] + pr[i - 1]); } for (int i = 0; i < min(a.size(), b.size()); i++) { a[i] = min(a[i], pr[i]); } return pair<vector<long long>, vector<long long>>{a, b}; } int main() { long long n, mon; cin >> n >> mon; vector<vector<int>> grap(n); vector<long long> cen(n), kyp(n); cin >> cen[0] >> kyp[0]; for (int i = 1; i < n; i++) { int pr; cin >> cen[i] >> kyp[i] >> pr; grap[pr - 1].push_back(i); } vector<long long> it = rek(cen, kyp, grap, 0).first; for (int i = 0; i < it.size(); i++) { if (it[i] > mon) { cout << i << "\n"; return 0; } } cout << n; }
#include <bits/stdc++.h> using namespace std; int cost[2][5003][5003], b, d[5003], c[5003], N, dp[2][2][5003], cnt[5003] = {0}; vector<int> adj[5003]; void dfs(int v) { cnt[v] = 1; for (int i = 0; i < adj[v].size(); ++i) { int t = adj[v][i]; dfs(t); cnt[v] += cnt[t]; } int cc = 0, p = 1, lim; if (!adj[v].empty()) { for (int i = 0; i <= cnt[adj[v][0]]; ++i) { dp[0][0][i] = cost[0][adj[v][0]][i]; dp[0][1][i] = (((cost[1][adj[v][0]][i]) < (cost[0][adj[v][0]][i])) ? (cost[1][adj[v][0]][i]) : (cost[0][adj[v][0]][i])); } lim = cnt[adj[v][0]]; for (int i = 1; i < adj[v].size(); ++i) { int t = adj[v][i]; cc = (cc ^ 1); p = (p ^ 1); for (int j = 1; j <= lim + cnt[t]; ++j) { dp[cc][0][j] = dp[cc][1][j] = 1000000007ll; } for (int j = 0; j <= lim; ++j) { for (int k = 0; k <= cnt[t]; ++k) { dp[cc][0][j + k] = (((dp[cc][0][j + k]) < (cost[0][t][k] + dp[p][0][j])) ? (dp[cc][0][j + k]) : (cost[0][t][k] + dp[p][0][j])); dp[cc][1][j + k] = ((((((dp[cc][1][j + k]) < (cost[1][t][k] + dp[p][1][j])) ? (dp[cc][1][j + k]) : (cost[1][t][k] + dp[p][1][j]))) < (cost[0][t][k] + dp[p][1][j])) ? ((((dp[cc][1][j + k]) < (cost[1][t][k] + dp[p][1][j])) ? (dp[cc][1][j + k]) : (cost[1][t][k] + dp[p][1][j]))) : (cost[0][t][k] + dp[p][1][j])); } } lim += cnt[t]; } } else { dp[cc][0][1] = dp[cc][1][1] = 1000000007ll; } for (int i = 1; i <= cnt[v]; ++i) { if (i != cnt[v]) cost[0][v][i] = (((dp[cc][0][i - 1] + c[v]) < (dp[cc][0][i])) ? (dp[cc][0][i - 1] + c[v]) : (dp[cc][0][i])); else cost[0][v][i] = dp[cc][0][i - 1] + c[v]; if (cost[0][v][i] > b) cost[0][v][i] = 1000000007ll; cost[1][v][i] = dp[cc][1][i - 1] + c[v] - d[v]; if (cost[1][v][i] > b) cost[1][v][i] = 1000000007ll; } } int main() { for (int i = 0; i < 5003; ++i) { for (int j = 0; j < 5003; ++j) { cost[0][i][j] = cost[1][i][j] = 0; } dp[0][0][i] = dp[0][1][i] = dp[1][0][i] = dp[1][1][i] = 0; } int n; scanf("%d %d", &n, &b); scanf("%d %d", &c[1], &d[1]); for (int i = 2; i <= n; ++i) { int p; scanf("%d %d %d", &c[i], &d[i], &p); adj[p].push_back(i); } dfs(1); int ans = n; for (int i = 0; i <= n; ++i) { if ((((cost[1][1][i]) < (cost[0][1][i])) ? (cost[1][1][i]) : (cost[0][1][i])) > b) { ans = i - 1; break; } } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; void get(int &v) { char c; while ((c = getchar()) != EOF && isdigit(c) == 0) ; v = c - '0'; while ((c = getchar()) != EOF && isdigit(c)) v = (v << 3) + (v << 1) + c - '0'; return; } int get() { char c; int v; while ((c = getchar()) != EOF && isdigit(c) == 0) ; v = c - '0'; while ((c = getchar()) != EOF && isdigit(c)) v = (v << 3) + (v << 1) + c - '0'; return v; } struct node { int v; node *next; } * adj[5000 + 4], edge[5000 + 4], *CNT = edge; struct xjb { int c, d, v; node *s; } goods[5000 + 4]; int f[5000 + 4][5000 + 4], g[5000 + 4][5000 + 4]; int subtreesz[5000 + 4]; void addedge(int u, int v) { node *p = ++CNT; p->v = v; p->next = goods[u].s; goods[u].s = p; return; } void dfs(int s) { node *p; int i, j; f[s][1] = goods[s].d - goods[s].c; g[s][0] = 0; g[s][1] = goods[s].d; subtreesz[s] = 1; for (p = goods[s].s; p; p = p->next) { dfs(p->v); for (i = subtreesz[s]; i >= 0; i--) for (j = subtreesz[p->v]; j >= 0; j--) { f[s][i + j] = min(f[s][i + j], f[s][i] + min(f[p->v][j], g[p->v][j])); g[s][i + j] = min(g[s][i + j], g[s][i] + g[p->v][j]); } subtreesz[s] += subtreesz[p->v]; } return; } int main() { int n, i, ans = 0, Lim; get(n); get(Lim); for (i = 1; i <= n; i++) { get(goods[i].d); get(goods[i].c); if (i > 1) addedge(get(), i); } memset(f, 0x3f, sizeof(f)); memset(g, 0x3f, sizeof(g)); dfs(1); for (i = 1; i <= n; i++) if (min(f[1][i], g[1][i]) <= Lim) ans = i; printf("%d", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int P = 1e9 + 7; long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; } inline int mod(long long x) { return (x %= P) < 0 ? x + P : x; } long long qpow(long long a, long long n, long long p = P) { long long r = 1 % p; for (; n; a = a * a % p, n >>= 1) if (n & 1) r = r * a % p; return r; } long long inv(long long x) { return x <= 1 ? 1 : inv(P % x) * (P - P / x) % P; } const int N = 5e3 + 10; int a[N], b[N], f[N], n, m, k; vector<int> g[N]; int dp[N][N][2]; int dfs(int x) { int sz = 0; for (int y : g[x]) { int t = dfs(y); for (int i = sz; i >= 0; --i) for (int j = 0; j <= t; ++j) { dp[x][i + j][0] = min(dp[x][i + j][0], dp[y][j][0] + dp[x][i][0]); dp[x][i + j][1] = min(dp[x][i + j][1], min(dp[y][j][0], dp[y][j][1]) + dp[x][i][1]); } sz += t; } ++sz; for (int i = sz; i >= 1; --i) { dp[x][i][0] = min(dp[x][i][0], dp[x][i - 1][0] + a[x]); dp[x][i][1] = dp[x][i - 1][1] + b[x]; } return sz; } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; ++i) { scanf("%d%d", a + i, b + i); b[i] = a[i] - b[i]; if (i >= 2) { int t; scanf("%d", &t); g[t].push_back(i); } } for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) dp[i][j][0] = dp[i][j][1] = 0x3f3f3f3f; dfs(1); int ans = 0; for (int i = 0; i <= n; ++i) if (dp[1][i][0] <= m || dp[1][i][1] <= m) ans = i; printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; const int maxn = 5010; struct edge { int v, next; } E[maxn]; int n, b, dp[2][maxn][maxn]; int c[maxn], d[maxn], siz[maxn]; int head[maxn], edgecnt; void init() { edgecnt = 0; memset(head, -1, sizeof(head)); } void add(int u, int v) { E[edgecnt].v = v, E[edgecnt].next = head[u], head[u] = edgecnt++; } void dfs(int u) { siz[u] = 1; dp[0][u][0] = 0; dp[0][u][1] = c[u]; dp[1][u][1] = c[u] - d[u]; for (int i = head[u]; ~i; i = E[i].next) { int v = E[i].v; dfs(v); for (int j = siz[u]; j >= 0; j--) { for (int k = 1; k <= siz[v]; k++) { dp[0][u][j + k] = min(dp[0][u][j + k], dp[0][u][j] + dp[0][v][k]); dp[1][u][j + k] = min(dp[1][u][j + k], dp[1][u][j] + dp[0][v][k]); dp[1][u][j + k] = min(dp[1][u][j + k], dp[1][u][j] + dp[1][v][k]); } } siz[u] += siz[v]; } } int main() { while (~scanf("%d%d", &n, &b)) { memset(dp, 0x3f, sizeof(dp)); init(); for (int i = 1; i <= n; i++) { int x; scanf("%d %d", &c[i], &d[i]); if (i != 1) { scanf("%d", &x); add(x, i); } } dfs(1); int ans = 0; for (int i = n; i >= 0; i--) { if (dp[1][1][i] <= b || dp[0][1][i] <= b) { ans = i; break; } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> inline void smin(T &a, U b) { if (a > b) a = b; } template <typename T, typename U> inline void smax(T &a, U b) { if (a < b) a = b; } template <typename T> inline void gn(T &first) { char c, sg = 0; while (c = getchar(), (c > '9' || c < '0') && c != '-') ; for ((c == '-' ? sg = 1, c = getchar() : 0), first = 0; c >= '0' && c <= '9'; c = getchar()) first = (first << 1) + (first << 3) + c - '0'; if (sg) first = -first; } template <class T, class T1> inline void gn(T &first, T1 &second) { gn(first); gn(second); } template <class T, class T1, class T2> inline void gn(T &first, T1 &second, T2 &z) { gn(first); gn(second); gn(z); } template <typename T> inline void print(T first) { if (first < 0) { putchar('-'); return print(-first); } if (first < 10) { putchar('0' + first); return; } print(first / 10); putchar(first % 10 + '0'); } template <typename T> inline void println(T first) { print(first), putchar('\n'); } template <typename T> inline void printsp(T first) { print(first), putchar(' '); } template <class T, class T1> inline void print(T first, T1 second) { printsp(first), println(second); } template <class T, class T1, class T2> inline void print(T first, T1 second, T2 z) { printsp(first), printsp(second), println(z); } int power(int a, int b, int m, int ans = 1) { for (; b; b >>= 1, a = 1LL * a * a % m) if (b & 1) ans = 1LL * ans * a % m; return ans; } int E, head[5050], to[5050], nxt[5050]; void init(int n) { E = 0; for (int i = 1; i <= n; i++) head[i] = -1; } void add_edge(int u, int v) { nxt[E] = head[u]; to[E] = v; head[u] = E++; } int dp[2][5050][5050], c[5050], d[5050]; int sz[5050]; void dfs(int u) { dp[1][u][0] = 0; dp[0][u][0] = 0; dp[1][u][1] = c[u] - d[u]; dp[0][u][1] = c[u]; sz[u] = 1; for (int e = head[u]; ~e; e = nxt[e]) { int v = to[e]; dfs(v); for (int i = sz[u] + sz[v]; i >= 1; i--) { for (int j = min(i, sz[v]); j >= 0 && i - j <= sz[u]; j--) { smin(dp[0][u][i], dp[0][u][i - j] + dp[0][v][j]); if (i && j < i) smin(dp[1][u][i], dp[1][u][i - j] + dp[1][v][j]); } } sz[u] += sz[v]; } for (int i = 1; i <= sz[u]; i++) smin(dp[1][u][i], dp[0][u][i]); } int main() { int n, b; gn(n, b); init(n); memset(dp, 0x3f, sizeof(dp)); for (int i = 1, first; i <= n; i++) { gn(c[i], d[i]); if (i > 1) { gn(first); add_edge(first, i); } } dfs(1); int ans = 0; for (int i = 1; i <= n; i++) if (dp[1][1][i] <= b) ans = i; println(ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 5010; int n, b; int get(int x) { if (x > b) return b + 1; else return x; } int c[N], d[N], sz[N]; int dp[N][N][2]; vector<vector<int> > g(N); void dfs(int v) { vector<int> p[2]; for (int to : g[v]) { dfs(to); p[0].resize(sz[v] + sz[to] + 1, b + 1); p[1].resize(sz[v] + sz[to] + 1, b + 1); for (int i = 0; i <= sz[v]; ++i) { for (int j = 0; j <= sz[to]; ++j) { p[0][i + j] = min(p[0][i + j], dp[v][i][0] + dp[to][j][0]); p[0][i + j] = get(p[0][i + j]); p[1][i + j] = min( p[1][i + j], min(p[0][i + j], min(dp[v][i][0], dp[v][i][1]) + min(dp[to][j][0], dp[to][j][1]))); p[1][i + j] = get(p[1][i + j]); } } for (int i = 0; i < p[0].size(); ++i) { dp[v][i][0] = p[0][i]; dp[v][i][1] = p[1][i]; } sz[v] += sz[to]; } sz[v]++; dp[v][sz[v]][0] = dp[v][sz[v]][1] = b + 1; for (int i = sz[v]; i > 0; --i) { dp[v][i][0] = min(dp[v][i][0], dp[v][i - 1][0] + c[v]); dp[v][i][0] = get(dp[v][i][0]); dp[v][i][1] = dp[v][i - 1][1] + d[v]; dp[v][i][1] = get(dp[v][i][1]); } dp[v][0][1] = b + 1; } int main() { ios_base::sync_with_stdio(0); cin.tie(nullptr); cin >> n >> b; for (int i = 1; i <= n; ++i) { int ci, di; cin >> ci >> di; c[i] = ci; d[i] = c[i] - di; if (i > 1) { int p; cin >> p; g[p].push_back(i); } } dfs(1); for (int i = sz[1]; i >= 0; --i) { if (dp[1][i][0] <= b || dp[1][i][1] <= b) { cout << i; return 0; } } return 0; }
#include <bits/stdc++.h> using namespace std; long long mo(long long a) { return a % (long long)(1e9 + 7); } long long po(long long x, long long y, long long p) { long long res = 1; x = x % p; while (y > 0) { if (y & 1) res = (res * x) % p; y >>= 1; x = (x * x) % p; } return res % p; } vector<vector<long long>> g; vector<long long> c, d, sub; vector<vector<long long>> dp_cou, dp_no_cou; void dfs(long long par, long long anc = -1) { for (long long e : g[par]) { if (e == anc) continue; dfs(e, par); vector<long long> cou(sub[par] + sub[e] + 2, (long long)(1e18 + 5)), no_cou(sub[par] + sub[e] + 2, (long long)(1e18 + 5)); for (long long i = 0; i <= sub[par]; i++) { for (long long j = 0; j <= sub[e]; j++) { cou[i + j] = min(cou[i + j], dp_cou[par][i] + dp_cou[e][j]); no_cou[i + j] = min(no_cou[i + j], dp_no_cou[par][i] + dp_no_cou[e][j]); } } dp_cou[par] = cou; dp_no_cou[par] = no_cou; sub[par] += sub[e]; } sub[par]++; for (long long i = sub[par]; i >= 1; i--) { dp_cou[par][i] = dp_cou[par][i - 1] + d[par]; dp_no_cou[par][i] = min(dp_no_cou[par][i], dp_no_cou[par][i - 1] + c[par]); dp_cou[par][i] = min(dp_cou[par][i], dp_no_cou[par][i]); } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); long long n, b; cin >> n >> b; g.assign(n, {}); c.assign(n, 0); d.assign(n, 0); dp_cou.assign(n + 1, vector<long long>(n + 1, (long long)(1e18 + 5))); dp_no_cou.assign(n + 1, vector<long long>(n + 1, (long long)(1e18 + 5))); sub.assign(n, 0); for (long long i = 0; i < n; i++) { cin >> c[i] >> d[i]; d[i] = c[i] - d[i]; if (i) { long long x; cin >> x; x--; g[i].push_back(x); g[x].push_back(i); } } for (int i = 0; i <= n; i++) { dp_cou[i][0] = 0; dp_no_cou[i][0] = 0; } dfs(0); long long ans = 0; for (long long i = 0; i <= n; i++) { if (dp_cou[0][i] <= b) ans = i; } cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 5050; int N, B, C[MAXN], D[MAXN], P[MAXN], s[MAXN]; long long dp[MAXN][MAXN], ks[MAXN]; vector<int> child[MAXN], adjList[MAXN]; int main() { scanf("%d%d", &N, &B); for (int i = 0; i < N; ++i) { scanf("%d%d", &C[i], &D[i]); if (i) { scanf("%d", &P[i]); --P[i]; adjList[P[i]].push_back(i); } else P[i] = -1; } memset(dp, -1, sizeof dp); for (int x = N - 1; x >= 0; --x) { child[x].push_back(C[x]); for (auto it : adjList[x]) { for (auto k : child[it]) child[x].push_back(k); } sort(child[x].begin(), child[x].end()); s[x] = child[x].size(); dp[x][0] = 0; for (int i = 1; i <= s[x]; ++i) dp[x][i] = dp[x][i - 1] + child[x][i - 1]; ks[0] = 0; ks[1] = C[x] - D[x]; for (int i = 2; i <= s[x]; ++i) ks[i] = -1; int sum = 1; for (auto it : adjList[x]) { sum += s[it]; for (int v = sum; v > 1; --v) { for (int k = min(v - 1, s[it]); k > 0; --k) { if (ks[v - k] == -1) break; if (ks[v] == -1 || ks[v] > ks[v - k] + dp[it][k]) ks[v] = ks[v - k] + dp[it][k]; } } } for (int v = s[x]; v >= 0; --v) { dp[x][v] = min(dp[x][v], ks[v]); if (v < s[x]) { dp[x][v] = min(dp[x][v + 1], dp[x][v]); } } } int ans = 0; for (int i = 0; i <= N; ++i) { if (dp[0][i] <= B) ans = i; } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> inline void smin(T &a, const U &b) { if (a > b) a = b; } template <typename T, typename U> inline void smax(T &a, const U &b) { if (a < b) a = b; } template <class T> inline void gn(T &first) { char c, sg = 0; while (c = getchar(), (c > '9' || c < '0') && c != '-') ; for ((c == '-' ? sg = 1, c = getchar() : 0), first = 0; c >= '0' && c <= '9'; c = getchar()) first = (first << 1) + (first << 3) + c - '0'; if (sg) first = -first; } template <class T1, class T2> inline void gn(T1 &x1, T2 &x2) { gn(x1), gn(x2); } template <class T1, class T2, class T3> inline void gn(T1 &x1, T2 &x2, T3 &x3) { gn(x1, x2), gn(x3); } 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 println(T first) { print(first); putchar('\n'); } template <class T> inline void printsp(T first) { print(first); putchar(' '); } template <class T1, class T2> inline void print(T1 x1, T2 x2) { printsp(x1), println(x2); } template <class T1, class T2, class T3> inline void print(T1 x1, T2 x2, T3 x3) { printsp(x1), printsp(x2), println(x3); } int power(int a, int b, int m, int ans = 1) { for (; b; b >>= 1, a = (long long)a * a % m) if (b & 1) ans = (long long)ans * a % m; return ans; } vector<int> adj[5010]; int n, b; int c[5010], d[5010], sz[5010]; int dp[5010][5010][2]; void dfs(int u) { sz[u] = 1; dp[u][0][0] = dp[0][0][1] = 0; dp[u][1][0] = c[u]; dp[u][1][1] = c[u] - d[u]; for (int i = adj[u].size(); i--;) { int v = adj[u][i]; dfs(v); for (int j = sz[u] + sz[v]; j >= 1; j--) { for (int k = min(j, sz[v]); j - k <= sz[u] && k >= 0; k--) { smin(dp[u][j][0], dp[u][j - k][0] + dp[v][k][0]); smin(dp[u][j][1], dp[u][j - k][1] + min(dp[v][k][0], dp[v][k][1])); } } sz[u] += sz[v]; } } int main() { gn(n, b); for (int i = 1; i <= n; i++) { gn(c[i], d[i]); if (i > 1) { int first; gn(first); adj[first].push_back(i); } } for (int i = 1; i <= n; i++) { for (int j = 0; j <= n; j++) { for (int k = 0; k < 2; k++) { dp[i][j][k] = 0x3f3f3f3f; } } } dfs(1); for (int i = n; i >= 0; i--) if (dp[1][i][0] <= b || dp[1][i][1] <= b) { println(i); return 0; } }
#include <bits/stdc++.h> using namespace std; void get(int &v) { char c; while ((c = getchar()) != EOF && isdigit(c) == 0) ; v = c - '0'; while ((c = getchar()) != EOF && isdigit(c)) v = (v << 3) + (v << 1) + c - '0'; return; } int get() { char c; int v; while ((c = getchar()) != EOF && isdigit(c) == 0) ; v = c - '0'; while ((c = getchar()) != EOF && isdigit(c)) v = (v << 3) + (v << 1) + c - '0'; return v; } struct node { int v; node *next; } * adj[5000 + 4], edge[5000 + 4], *CNT = edge; struct xjb { int c, d, v; node *s; } goods[5000 + 4]; int f[5000 + 4][5000 + 4], g[5000 + 4][5000 + 4]; int subtreesz[5000 + 4]; void addedge(int u, int v) { node *p = ++CNT; p->v = v; p->next = goods[u].s; goods[u].s = p; return; } void dfs(int s) { node *p; int i, j; f[s][1] = goods[s].d - goods[s].c; g[s][0] = 0; g[s][1] = goods[s].d; subtreesz[s] = 1; for (p = goods[s].s; p; p = p->next) { dfs(p->v); for (i = subtreesz[s]; i >= 0; i--) for (j = subtreesz[p->v]; j; j--) { f[s][i + j] = min(f[s][i + j], f[s][i] + min(f[p->v][j], g[p->v][j])); g[s][i + j] = min(g[s][i + j], g[s][i] + g[p->v][j]); } subtreesz[s] += subtreesz[p->v]; } return; } int main() { int n, i, ans = 0, Lim; get(n); get(Lim); for (i = 1; i <= n; i++) { get(goods[i].d); get(goods[i].c); if (i > 1) addedge(get(), i); } memset(f, 0x3f, sizeof(f)); memset(g, 0x3f, sizeof(g)); dfs(1); for (i = 1; i <= n; i++) if (min(f[1][i], g[1][i]) <= Lim) ans = i; printf("%d", ans); return 0; }
#include <bits/stdc++.h> using namespace std; void get(int &v) { char c; while ((c = getchar()) != EOF && isdigit(c) == 0) ; v = c - '0'; while ((c = getchar()) != EOF && isdigit(c)) v = (v << 3) + (v << 1) + c - '0'; return; } int get() { char c; int v; while ((c = getchar()) != EOF && isdigit(c) == 0) ; v = c - '0'; while ((c = getchar()) != EOF && isdigit(c)) v = (v << 3) + (v << 1) + c - '0'; return v; } struct node { int v; node *next; } * adj[5000 + 4], edge[5000 + 4], *CNT = edge; struct xjb { int c, d, v; node *s; } goods[5000 + 4]; int f[5000 + 4][5000 + 4], g[5000 + 4][5000 + 4]; int subtreesz[5000 + 4]; void addedge(int u, int v) { node *p = ++CNT; p->v = v; p->next = goods[u].s; goods[u].s = p; return; } void dfs(int s) { node *p; int i, j; f[s][1] = goods[s].d - goods[s].c; g[s][0] = 0; g[s][1] = goods[s].d; subtreesz[s] = 1; for (p = goods[s].s; p; p = p->next) { dfs(p->v); for (i = subtreesz[s]; ~i; i--) for (j = subtreesz[p->v]; j; j--) { f[s][i + j] = min(f[s][i + j], f[s][i] + min(f[p->v][j], g[p->v][j])); g[s][i + j] = min(g[s][i + j], g[s][i] + g[p->v][j]); } subtreesz[s] += subtreesz[p->v]; } return; } int main() { int n, i, Lim; get(n); get(Lim); for (i = 1; i <= n; i++) { get(goods[i].d); get(goods[i].c); if (i > 1) addedge(get(), i); } memset(f, 0x3f, sizeof(f)); memset(g, 0x3f, sizeof(g)); dfs(1); for (i = 0; i < n && (min(f[1][i + 1], g[1][i + 1]) <= Lim); i++) ; printf("%d", i); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 5000 + 5; const int inf = 0x3f3f3f3f; int dp[maxn][maxn][2]; int c[maxn], d[maxn]; vector<int> e[maxn]; int sz[maxn]; void dfs(int u) { sz[u] = 1; dp[u][0][0] = 0; dp[u][1][0] = c[u]; dp[u][1][1] = c[u] - d[u]; for (int i = 0; i < e[u].size(); i++) { int v = e[u][i]; dfs(v); for (int j = sz[u]; j >= 0; j--) { for (int k = 0; k <= sz[v]; k++) { dp[u][j + k][0] = min(dp[u][j + k][0], dp[u][j][0] + dp[v][k][0]); dp[u][j + k][1] = min(dp[u][j + k][1], dp[u][j][1] + dp[v][k][1]); dp[u][j + k][1] = min(dp[u][j + k][1], dp[u][j][1] + dp[v][k][0]); } } sz[u] += sz[v]; } } int n, b; int main() { memset(dp, inf, sizeof(dp)); scanf("%d%d", &n, &b); scanf("%d%d", &c[1], &d[1]); for (int i = 2; i <= n; i++) { int u; scanf("%d%d%d", &c[i], &d[i], &u); e[u].push_back(i); } dfs(1); int ans = 0; for (int i = n; i >= 0; i--) { if (dp[1][i][0] <= b || dp[1][i][1] <= b) { ans = i; break; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> const int N = 5005; using namespace std; int dp[N][N][2], n, b, c[N], d[N], x, son[N]; vector<int> adj[N]; void dfs(int u) { son[u] = 1; dp[u][0][0] = 0; dp[u][1][0] = c[u]; dp[u][1][1] = c[u] - d[u]; for (int i = 0; i < adj[u].size(); i++) { int v = adj[u][i]; dfs(v); for (int j = son[u]; j >= 0; j--) { for (int k = 0; k <= son[v]; k++) { dp[u][j + k][0] = min(dp[u][j + k][0], dp[u][j][0] + dp[v][k][0]); dp[u][j + k][1] = min(dp[u][j + k][1], dp[u][j][1] + dp[v][k][1]); dp[u][j + k][1] = min(dp[u][j + k][1], dp[u][j][1] + dp[v][k][0]); } } son[u] += son[v]; } } int main() { ios::sync_with_stdio(0); cin >> n >> b; cin >> c[1] >> d[1]; for (int i = 2; i <= n; i++) { cin >> c[i] >> d[i] >> x; adj[x].push_back(i); } memset(dp, 0x3f3f3f3f, sizeof dp); dfs(1); int ans = 0; for (int i = n; i >= 0; i--) { if (dp[1][i][0] <= b || dp[1][i][1] <= b) { ans = i; break; } } cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; inline int ReadInt() { int o = 0, ch = getchar(); while (!isdigit(ch)) ch = getchar(); while (isdigit(ch)) o = o * 10 + ch - '0', ch = getchar(); return o; } int n, b, q, c[5000 + 10], d[5000 + 10], sz[5000 + 10], dp[5000 + 10][5000 + 10][2]; vector<int> g[5000 + 10]; void dfs(int u) { dp[u][0][0] = 0; dp[u][1][0] = c[u]; dp[u][1][1] = c[u] - d[u]; sz[u] = 1; for (auto v : g[u]) { dfs(v); for (int i = sz[u]; i >= 0; i--) { for (int j = sz[v]; j >= 0; j--) { dp[u][i + j][0] = min(dp[u][i + j][0], dp[u][i][0] + dp[v][j][0]); dp[u][i + j][1] = min(dp[u][i + j][1], dp[u][i][1] + min(dp[v][j][0], dp[v][j][1])); } } sz[u] += sz[v]; } } int main() { while (~scanf("%d%d", &n, &b)) { for (int i = 0; i <= n; i++) g[i].clear(); memset(dp, 63, sizeof(dp)); for (int i = 1, x; i <= n; i++) { c[i] = ReadInt(); d[i] = ReadInt(); if (i >= 2) { x = ReadInt(); g[x].push_back(i); } } dfs(1); int ans; for (int i = 0; i <= n; i++) if (min(dp[1][i][1], dp[1][i][0]) <= b) ans = i; printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T1, typename T2> void Max(T1& a, T2 b) { a = max(a, (T1)b); } template <typename T1, typename T2> void Min(T1& a, T2 b) { a = min(a, (T1)b); } const int N = 5000, inf = 1e9 + 1; vector<long long> g[N]; long long c[N], d[N]; vector<long long> f[N][2]; void calc(long long i) { for (int it = 0; it < (2); ++it) { f[i][it].push_back(0); f[i][it].push_back(c[i] - d[i] * it); for (auto& e : g[i]) { long long sz = f[i][it].size(); f[i][it].resize(sz + f[e][it].size() - 1, inf); for (int j = sz - 1; j >= (it); --j) for (int k = 1; k <= (f[e][it].size() - 1); ++k) Min(f[i][it][j + k], f[i][it][j] + f[e][it][k]); } } for (int j = 0; j < (f[i][0].size()); ++j) Min(f[i][1][j], f[i][0][j]); } void solve() { long long n, b, v; cin >> n >> b; for (int i = 0; i < (n); ++i) { cin >> c[i] >> d[i]; if (i) { cin >> v; g[--v].push_back(i); } } for (int i = n - 1; i >= (0); --i) calc(i); long long ans = upper_bound(f[0][1].begin(), f[0][1].end(), b) - f[0][1].begin() - 1; cout << ans << '\n'; } void init() {} int main(void) { ios::sync_with_stdio(false); cin.tie(0); cout.setf(ios::fixed); cout.precision(20); init(); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 5050; int n, b, c[MAXN], d[MAXN], fa[MAXN], sum[MAXN], f[MAXN][MAXN], g[MAXN][MAXN]; int buff[MAXN], bufg[MAXN]; int main() { memset(f, 63, sizeof(f)); memset(g, 63, sizeof(g)); scanf("%d%d", &n, &b); for (int i = 1; i <= n; i++) { scanf("%d%d", &c[i], &d[i]); if (i > 1) scanf("%d", &fa[i]); sum[i] = 1; f[i][1] = c[i] - d[i]; g[i][0] = 0; g[i][1] = c[i]; if (f[i][1] > b && g[i][1] > b) sum[i] = 0; } for (int i = n; i >= 2; i--) { memcpy(buff, f[fa[i]], sizeof(buff)); memcpy(bufg, g[fa[i]], sizeof(bufg)); for (int j = 0; j <= sum[i]; j++) for (int k = 0; k <= sum[fa[i]]; k++) { f[fa[i]][j + k] = min(f[fa[i]][j + k], min(f[i][j], g[i][j]) + buff[k]); g[fa[i]][j + k] = min(g[fa[i]][j + k], g[i][j] + bufg[k]); } sum[fa[i]] += sum[i]; } for (int i = n; i; --i) { if (f[1][i] <= b || g[1][i] <= b) { printf("%d", i); return 0; } } printf("0"); return 0; }
#include <bits/stdc++.h> using namespace std; void fre() { freopen("c://test//input.in", "r", stdin); freopen("c://test//output.out", "w", stdout); } template <class T1, class T2> inline void gmax(T1 &a, T2 b) { if (b > a) a = b; } template <class T1, class T2> inline void gmin(T1 &a, T2 b) { if (b < a) a = b; } const int N = 5005, M = 0, Z = 1e9 + 7; const int inf = 0x3f3f3f3f; template <class T1, class T2> inline void gadd(T1 &a, T2 b) { a = (a + b) % Z; } int casenum, casei; int n, m; int f[N][N]; int d[N][N]; int v[N]; int c[N]; vector<int> a[N]; int sz[N]; void dfs(int x) { f[x][0] = d[x][0] = sz[x] = 0; for (auto y : a[x]) { dfs(y); for (int i = sz[x]; ~i; --i) { for (int j = 1; j <= sz[y]; ++j) { gmin(f[x][i + j], f[x][i] + f[y][j]); gmin(f[x][i + j], f[x][i] + d[y][j]); gmin(d[x][i + j], d[x][i] + d[y][j]); } } sz[x] += sz[y]; } ++sz[x]; for (int i = sz[x]; i; --i) { f[x][i] = min(f[x][i - 1] + v[x] - c[x], inf); gmin(d[x][i], d[x][i - 1] + v[x]); } } int szz[N]; void getszz(int x) { szz[x] = 1; for (auto y : a[x]) { getszz(y); szz[x] += szz[y]; } } bool cmp(int x, int y) { return szz[x] < szz[y]; } int main() { while (~scanf("%d%d", &n, &m)) { memset(f, 63, sizeof(f)); memset(d, 63, sizeof(d)); for (int i = 1; i <= n; ++i) { a[i].clear(); scanf("%d%d", &v[i], &c[i]); if (i > 1) { int fa; scanf("%d", &fa); a[fa].push_back(i); } } getszz(1); dfs(1); for (int i = 1; i <= n; ++i) { sort(a[i].begin(), a[i].end(), cmp); } int ans = 0; for (int i = 1; i <= n; ++i) { if (f[1][i] <= m || d[1][i] <= m) { gmax(ans, i); } } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; struct good { int id; long long int before; long long int after; vector<int> edges; }; vector<vector<long long int>> dfs(const int now, const vector<good>& goods) { vector<vector<vector<long long int>>> dps; int t = 2; vector<vector<long long int>> dp(2, vector<long long int>(2, 1e18)); dp[0][0] = 0; dp[1][0] = goods[now].before; dp[1][1] = goods[now].after; int m = 2; for (auto e : goods[now].edges) { auto adp(move(dfs(e, goods))); for (int i = 0; i < adp.size() - 1; ++i) { dp.push_back(vector<long long int>(2, 1e18)); } for (int i = m - 1; i >= 0; --i) { for (int j = adp.size() - 1; j >= 0; --j) { dp[i + j][1] = min(dp[i + j][1], dp[i][1] + min(adp[j][0], adp[j][1])); dp[i + j][0] = min(dp[i + j][0], dp[i][0] + adp[j][0]); } } m += adp.size() - 1; } return dp; } int main() { int N; cin >> N; vector<good> goods; long long int B; cin >> B; for (int i = 0; i < N; ++i) { long long int d, c; cin >> d >> c; goods.push_back(good{i, d, d - c, vector<int>()}); if (i) { int a; cin >> a; a--; goods[a].edges.push_back(i); } } int k = 0; auto ans = dfs(0, goods); for (int i = 0; i < ans.size(); ++i) { for (int j = 0; j < 2; ++j) { if (ans[i][j] <= B) k = i; } } cout << k << endl; return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:1073741824") using namespace std; const int MAXN = 5100; int c[MAXN], d[MAXN], sz[MAXN]; long long int dp[MAXN][MAXN]; vector<int> v[MAXN]; bool cmp(int a, int b) { return v[a].size() > v[b].size(); } void cSize(int node) { sz[node] = 1; for (int to : v[node]) { cSize(to); sz[node] += sz[to]; } sort(v[node].begin(), v[node].end(), cmp); } void dfs(int node, vector<int> &a) { dp[node][1] = c[node] - d[node]; dp[node][0] = 0; vector<int> ma; int s = 1; for (int to : v[node]) { dfs(to, ma); for (int i = s; i >= 1; i--) for (int j = 1; j <= sz[to]; j++) dp[node][i + j] = min(dp[node][i + j], dp[node][i] + dp[to][j]); s += sz[to]; } ma.push_back(c[node]); a.insert(a.end(), ma.begin(), ma.end()); sort(ma.begin(), ma.end()); long long int sum = 0; for (int i = 1; i <= ma.size(); i++) { sum += ma[i - 1]; dp[node][i] = min(dp[node][i], sum); } } int main() { #pragma warning(disable : 4996) int n, b; scanf("%d%d", &n, &b); memset(dp, 127, sizeof(dp)); ; scanf("%d%d", &c[0], &d[0]); for (int i = 1; i < n; i++) { int p; scanf("%d%d%d", &c[i], &d[i], &p); v[p - 1].push_back(i); } vector<int> a; cSize(0); dfs(0, a); for (int i = 0; i <= n; i++) { if (dp[0][i + 1] > b) { printf("%d", i); return 0; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int MX_N = 305; const int MOD = 1e9 + 7; int N, A[MX_N]; int F[MX_N], fcnt, C[MX_N]; int nck[MX_N][MX_N], fac[MX_N], dp[MX_N][MX_N]; int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> N; for (int i = (1); i <= (N); ++i) { cin >> A[i]; for (int j = (1); j <= (i - 1); ++j) { long long prod = 1LL * A[i] * A[j], rt = sqrt(prod); if (rt * rt == prod) F[i] = F[j]; } if (F[i] == 0) F[i] = ++fcnt; ++C[F[i]]; } for (int x = (0); x <= (N + 1); ++x) { nck[x][0] = nck[x][x] = 1; for (int y = (1); y <= (x - 1); ++y) { nck[x][y] = nck[x - 1][y - 1] + nck[x - 1][y]; if (nck[x][y] >= MOD) nck[x][y] -= MOD; } } fac[0] = 1; for (int i = (1); i <= (N + 1); ++i) fac[i] = 1LL * fac[i - 1] * i % MOD; dp[0][0] = 1; for (int x = (1); x <= (N); ++x) dp[0][x] = 0; int total = 0; for (int i = (0); i <= (fcnt - 1); ++i) { total += C[i]; for (int x = (0); x <= (max(0, total - 1)); ++x) { for (int s = (1); s <= (min(total + 1, C[i + 1])); ++s) { for (int q = (0); q <= (min(s, x)); ++q) { int& nxt = dp[i + 1][x - q + C[i + 1] - s]; nxt += 1LL * dp[i][x] * nck[C[i + 1] - 1][s - 1] % MOD * fac[C[i + 1]] % MOD * nck[total + 1 - x][s - q] % MOD * nck[x][q] % MOD; if (nxt >= MOD) nxt -= MOD; } } } } cout << dp[fcnt][0]; }
#include <bits/stdc++.h> using namespace std; const long long MOD = 1e9 + 7; const int INF = 0x7f7f7f7f; const long long INFLL = 0x7f7f7f7f7f7f7f7f; vector<int> primes; void init() { bitset<40000> notprime; notprime[0] = notprime[1] = true; for (int i = 2; i < 200; i++) { if (notprime[i]) { for (int j = i * i; j < 40000; j += i) notprime[j] = true; } } for (int i = 0; i < 40000; i++) if (notprime[i] == false) primes.push_back(i); } int nonsquare(int n) { int ans = 1; int lim = sqrt(n); for (int i = 0; primes[i] <= lim; i++) { if (n % primes[i] == 0) { int count = 0; while (n % primes[i] == 0) { n /= primes[i]; count++; } if (count % 2 == 1) ans *= primes[i]; } } if (n > 1) { ans *= n; } return ans; } int main() { ios::sync_with_stdio(0); cin.tie(0); Easy_DP: init(); int n; cin >> n; int arr[n]; map<int, int> group; vector<int> count; for (int i = 0; i < n; i++) { cin >> arr[i]; int res = nonsquare(arr[i]); if (!group.count(res)) { group.insert(pair<int, int>(res, count.size())); count.push_back(1); } else { count[group[res]]++; } } sort(count.begin(), count.end(), greater<int>()); vector<int> num; vector<int> begin; int start = 0; for (int i = 0; i < count.size(); i++) { for (int j = 0; j < count[i]; j++) { begin.push_back(start); num.push_back(i); } start += count[i]; } long long dp[2][n + 2][n + 2]; memset(dp, 0, sizeof(dp)); dp[1][0][0] = 1; for (int i = 1; i < n; i++) { if (num[i] != num[i - 1]) { for (int j = 0; j < i; j++) { for (int k = 1; k <= j; k++) { dp[i % 2][j][0] += dp[i % 2][j][k]; dp[i % 2][j][k] = 0; } } } for (int j = 0; j < i; j++) { for (int k = 0; k <= j; k++) { dp[(i + 1) % 2][j + 1][k + 1] = (dp[(i + 1) % 2][j + 1][k + 1] + (dp[i % 2][j][k] * (2 * (i - begin[i]) - k)) % MOD) % MOD; if (j > 0) dp[(i + 1) % 2][j - 1][k] = (dp[(i + 1) % 2][j - 1][k] + (dp[i % 2][j][k] * (j - k)) % MOD) % MOD; dp[(i + 1) % 2][j][k] = (dp[(i + 1) % 2][j][k] + (dp[i % 2][j][k] * (i + 1 - (2 * (i - begin[i]) - k + j - k))) % MOD) % MOD; } } memset(dp[i % 2], 0, sizeof(dp[i % 2])); } cout << dp[n % 2][0][0] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; const int maxn = 700; int p[40005], c = 0; bool v[40005]; int n, a[maxn]; int b[maxn], sum[maxn]; long long C[maxn][maxn]; long long dp[maxn][maxn]; long long A[maxn]; void pre() { for (int i = 2; i < 40005; i++) if (!v[i]) { p[c++] = i; for (int j = 2 * i; j < 40005; j += i) { v[j] = 1; } } C[0][0] = 1; A[0] = 1; for (int i = 1; i < maxn; i++) { A[i] = (A[i - 1] * i) % mod; C[i][0] = 1; for (int j = 1; j <= i; j++) { C[i][j] = (C[i - 1][j - 1] + C[i - 1][j]) % mod; } } } int main() { pre(); scanf("%d", &n); for (int i = 0; i < n; i++) { int now; scanf("%d", &now); a[i] = 1; for (int j = 0; j < c; j++) { int k = 0; while (now % p[j] == 0) { now /= p[j]; k ^= 1; } if (k == 1) a[i] *= p[j]; } a[i] *= now; } sort(a, a + n); int n1 = n; n = 0; for (int i = 0; i < n1; i++) { if (i == 0 || a[i] != a[i - 1]) n++; b[n]++; } dp[1][b[1] - 1] = 1; for (int i = 1; i < n; i++) { sum[i] = sum[i - 1] + b[i]; for (int j = 0; j < sum[i]; j++) { for (int k = 1; k <= b[i + 1]; k++) { for (int aa = 0; aa <= k; aa++) { int u = b[i + 1] - k + j - aa; if (u < 0) continue; long long cnt = (C[sum[i] + 1 - j][k - aa] * C[j][aa]) % mod; cnt = (cnt * C[b[i + 1] - 1][k - 1]) % mod; dp[i + 1][u] = (dp[i + 1][u] + (cnt * dp[i][j]) % mod) % mod; } } } } long long ret = dp[n][0]; for (int i = 1; i <= n; i++) { ret = (ret * A[b[i]]) % mod; } printf("%I64d\n", ret); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; int const N = 200 * 1000 + 16; int const M = 1000 * 1000 * 1000 + 7; int n; int a[320]; int f[616]; int ncr[616][616]; int dp[616][616]; struct dsu { int fa[500]; dsu(int n) { iota(fa, fa + n + 10, 0); } int find(int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); } void unite(int x, int y) { fa[find(x)] = find(y); } }; int main() { cin.tie(0); cin.sync_with_stdio(0); cin >> n; for (int i = 0; i < n; ++i) cin >> a[i]; dsu u(n); for (int i = 0; i < n; ++i) for (int j = i + 1; j < n; ++j) { ll x = 1ll * a[i] * a[j]; ll s = sqrt(x) + 0.5; if (s * s == x) u.unite(i, j); } memset(a, 0, sizeof a); for (int i = 0; i < n; ++i) a[u.find(i)]++; sort(a, a + n, greater<int>()); int m = find(a, a + n, 0) - a; for (int i = 0; i < 616; ++i) ncr[i][0] = ncr[i][i] = 1; for (int i = 1; i < 616; ++i) for (int j = 1; j < i; ++j) ncr[i][j] = (ncr[i - 1][j] + ncr[i - 1][j - 1]) % M; f[0] = 1; for (int i = 1; i < 616; ++i) f[i] = 1ll * i * f[i - 1] % M; dp[0][a[0] - 1] = 1; int k = a[0]; for (int i = 1; i < m; ++i) { int len = a[i]; for (int p = 0; p < k; ++p) { int x = dp[i - 1][p]; if (not x) continue; for (int g = 1; g <= len; ++g) { for (int u = min({len, p, g}); u >= 0; --u) { ll y = 1ll * ncr[k - p + 1][g - u] * ncr[p][u] % M; y *= ncr[len - 1][g - 1]; y %= M; dp[i][p - u + len - g] += x * y % M; dp[i][p - u + len - g] %= M; } } } k += len; } int ans = dp[m - 1][0]; for (int i = 0; i < m; ++i) ans = 1ll * ans * f[a[i]] % M; cout << ans; }
#include <bits/stdc++.h> const long long N = 305; const long long MOD = 1e9 + 7; using namespace std; long long n, size[N], tot = 0; long long jie[N], f[N][N], a[N], p[N], ts[N], c[N][N]; long long chk(long long x) { long long m = sqrt(x); if (m * m == x) return 1; return 0; } long long cmp(long long x, long long y) { return x > y; } void pre() { for (long long i = 0; i <= n; i++) c[i][i] = c[i][0] = 1, c[i][1] = i; for (long long i = 3; i <= n; i++) { for (long long j = 2; j <= i - 1; j++) { c[i][j] = (c[i - 1][j - 1] + c[i - 1][j]) % MOD; } } jie[1] = 1; for (long long i = 2; i <= n; i++) jie[i] = jie[i - 1] * i % MOD; } int main() { scanf("%lld", &n); for (long long i = 1; i <= n; i++) { scanf("%lld", &a[i]); } for (long long i = 1; i <= n; i++) { long long flag = 0; for (long long grp = 1; grp <= tot; grp++) if (chk(p[grp] * a[i])) { size[grp]++; flag = 1; break; } if (flag == 0) { tot++; p[tot] = a[i]; size[tot] = 1; } } sort(size + 1, size + tot + 1, cmp); pre(); ts[0] = 0; for (long long i = 1; i <= tot; i++) ts[i] = ts[i - 1] + size[i]; f[0][0] = 1; long long m = 0; for (long long i = 1; i <= tot; i++) { for (long long j = 0; j <= m + 1; j++) { if (f[i - 1][j] == 0) continue; for (long long k = 0; k < size[i]; k++) { long long temp = f[i - 1][j] * c[size[i] - 1][k]; temp %= MOD; for (long long p = 0; p <= k + 1 && p <= j + size[i] - 1 - k; p++) { long long temp1 = temp * c[j][p]; temp1 %= MOD; f[i][j + size[i] - 1 - k - p] += (temp1 * c[m + 1 - j][k + 1 - p]) % MOD; f[i][j + size[i] - 1 - k - p] %= MOD; } } } m += size[i]; } for (long long i = 1; i <= tot; i++) f[tot][0] = (f[tot][0] * jie[size[i]]) % MOD; printf("%lld", f[tot][0]); return 0; }
#include <bits/stdc++.h> using namespace std; const long long inf = 1LL << 61; const long long mod = 1000000007; const int maxn = 310; long long f[maxn], invf[maxn], dp[maxn][maxn], a[maxn]; int vis[maxn], cnt[maxn]; long long extgcd(long long a, long long b, long long &x, long long &y); long long inv(long long a, long long n); void init(); bool check(long long x); long long C(int n, int m); int main() { std::ios::sync_with_stdio(false); int i = 0, j = 0, k = 0; int n, sz = 0; scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%lld", &a[i]); memset(vis, 0, sizeof(vis)), memset(cnt, 0, sizeof(cnt)); init(); for (int i = 1; i <= n; i++) { if (vis[i]) continue; vis[i] = true; sz++; cnt[sz] = 1; for (int j = i + 1; j <= n; j++) { if (vis[j]) continue; if (check(a[i] * a[j])) { vis[j] = true; cnt[sz]++; } } } memset(dp, 0, sizeof(dp)); int m = cnt[1] - 1; dp[1][m] = 1; for (int i = 2; i <= sz; i++) { for (int j = 0; j < maxn; j++) { if (dp[i - 1][j] == 0) continue; for (int k = 0; k < cnt[i]; k++) { for (int p = 0; p <= min(k + 1, j); p++) { long long tmp = dp[i - 1][j] * C(cnt[i] - 1, k) % mod * C(j, p) % mod * C(m + 2 - j, k + 1 - p) % mod; dp[i][j + cnt[i] - 1 - k - p] = (dp[i][j + cnt[i] - 1 - k - p] + tmp) % mod; } } } m += cnt[i]; } long long ans = dp[sz][0]; for (int i = 1; i <= sz; i++) ans = ans * f[cnt[i]] % mod; printf("%lld\n", ans); return 0; } long long C(int n, int m) { long long ans = 1; ans = f[n]; ans = ans * invf[m] % mod * invf[n - m] % mod; return ans; } void init() { f[0] = 1; invf[0] = inv(1, mod); for (int i = 1; i < maxn; i++) { f[i] = f[i - 1] * i % mod; invf[i] = inv(f[i], mod); } } bool check(long long x) { long long m = sqrt(x); for (long long i = max(m - 5, 1LL); i < m + 5; i++) { if (i * i == x) return true; } return false; } long long extgcd(long long a, long long b, long long &x, long long &y) { long long d = a; if (b != 0) { d = extgcd(b, a % b, y, x); y -= (a / b) * x; } else { x = 1, y = 0; } return d; } long long inv(long long a, long long n) { long long d, x, y; d = extgcd(a, n, x, y); return d == 1 ? (x + n) % n : -1; }
#include <bits/stdc++.h> using namespace std; using ll = long long; constexpr ll M = 1e9 + 7; bool is_square(ll x) { ll t = sqrt(x); return t * t == x; } int main() { int n; cin >> n; map<ll, ll> cnt; for (int i = 0; i < n; ++i) { ll a; cin >> a; cnt[a]++; } map<ll, vector<int>> num; for (auto& a : cnt) { bool update = false; for (auto& p : num) { if (is_square(a.first * p.first)) { num[p.first].push_back(a.second); update = true; break; } } if (!update) { num[a.first].push_back(a.second); } } vector<ll> fact(301); fact[0] = 1; for (int i = 1; i <= 300; ++i) { fact[i] = (fact[i - 1] * i) % M; } vector<vector<ll>> comb(301, vector<ll>(301)); for (int i = 0; i < 301; ++i) { for (int j = 0; j <= i; ++j) { if (i == j || j == 0) { comb[i][j] = 1; } else { comb[i][j] = (comb[i - 1][j - 1] + comb[i - 1][j]) % M; } } } vector<vector<ll>> dp(num.size() + 1, vector<ll>(n + 1)); dp[0][0] = 1; ll res = 1; ll sum = 0; int i = 0; for (auto& p : num) { int m = accumulate(p.second.begin(), p.second.end(), 0); res = (res * fact[m]) % M; for (int j = 0; j <= sum; ++j) { for (int k = 1; k <= m; ++k) { for (int l = 0; l <= min(j, k); ++l) { ll t = comb[m - 1][k - 1]; t = (t * comb[j][l]) % M; t = (t * comb[sum - j + 1][k - l]) % M; t = (t * dp[i][j]) % M; (dp[i + 1][j - l + m - k] += t) %= M; } } } sum += m; i++; } res = (res * dp[num.size()][0]) % M; cout << res << endl; }
#include <bits/stdc++.h> using namespace std; const long long MOD = 1e9 + 7; const int INF = 0x7f7f7f7f; const long long INFLL = 0x7f7f7f7f7f7f7f7f; long long egcd(long long a, long long b, long long& x, long long& y) { if (!b) { x = 1; y = 0; return a; } long long d = egcd(b, a % b, y, x); y -= x * (a / b); return d; } vector<long long> inverse; vector<long long> factorial; vector<int> primes; void init() { factorial.push_back(1); for (int i = 1; i <= 300; i++) { factorial.push_back((factorial[i - 1] * i) % MOD); } inverse.push_back(-1); for (int i = 1; i <= 300; i++) { long long x, y; egcd(i, MOD, x, y); inverse.push_back((x + MOD) % MOD); } bitset<40000> notprime; notprime[0] = notprime[1] = true; for (int i = 2; i < 200; i++) { if (notprime[i]) { for (int j = i * i; j < 40000; j += i) notprime[j] = true; } } for (int i = 0; i < 40000; i++) if (notprime[i] == false) primes.push_back(i); } int nonsquare(int n) { int ans = 1; int lim = sqrt(n); for (int i = 0; primes[i] <= lim; i++) { if (n % primes[i] == 0) { int count = 0; while (n % primes[i] == 0) { n /= primes[i]; count++; } if (count % 2 == 1) ans *= primes[i]; } } if (n > 1) { ans *= n; } return ans; } int main() { ios::sync_with_stdio(0); cin.tie(0); lame: init(); int n; cin >> n; int arr[n]; map<int, int> group; vector<int> count; for (int i = 0; i < n; i++) { cin >> arr[i]; int res = nonsquare(arr[i]); if (!group.count(res)) { group.insert(pair<int, int>(res, count.size())); count.push_back(1); } else { count[group[res]]++; } } sort(count.begin(), count.end(), greater<int>()); vector<int> num; vector<int> begin; int start = 0; for (int i = 0; i < count.size(); i++) { for (int j = 0; j < count[i]; j++) { begin.push_back(start); num.push_back(i); } start += count[i]; } long long dp[n + 2][n + 2][n + 2]; memset(dp, 0, sizeof(dp)); dp[1][0][0] = 1; for (int i = 1; i < n; i++) { if (num[i] != num[i - 1]) { for (int j = 0; j < i; j++) { for (int k = 1; k <= j; k++) { dp[i][j][0] += dp[i][j][k]; dp[i][j][k] = 0; } } } for (int j = 0; j < i; j++) { for (int k = 0; k <= j; k++) { dp[i + 1][j + 1][k + 1] = (dp[i + 1][j + 1][k + 1] + (dp[i][j][k] * (2 * (i - begin[i]) - k)) % MOD) % MOD; if (j > 0) dp[i + 1][j - 1][k] = (dp[i + 1][j - 1][k] + (dp[i][j][k] * (j - k)) % MOD) % MOD; dp[i + 1][j][k] = (dp[i + 1][j][k] + (dp[i][j][k] * (i + 1 - (2 * (i - begin[i]) - k + j - k))) % MOD) % MOD; } } } cout << dp[n][0][0] << endl; return 0; }
#include <bits/stdc++.h> const long long N = 305; const long long MOD = 1e9 + 7; using namespace std; long long n, size[N], tot = 0; long long jie[N], f[N][N], a[N], p[N], ts[N], c[N][N]; long long chk(long long x) { long long m = sqrt(x); if (m * m == x) return 1; return 0; } long long cmp(long long x, long long y) { return x > y; } void pre() { for (long long i = 0; i <= n; i++) c[i][i] = c[i][0] = 1, c[i][1] = i; for (long long i = 3; i <= n; i++) { for (long long j = 2; j <= i - 1; j++) { c[i][j] = (c[i - 1][j - 1] + c[i - 1][j]) % MOD; } } jie[1] = 1; for (long long i = 2; i <= n; i++) jie[i] = jie[i - 1] * i % MOD; } int main() { scanf("%lld", &n); for (long long i = 1; i <= n; i++) { scanf("%lld", &a[i]); } for (long long i = 1; i <= n; i++) { long long flag = 0; for (long long grp = 1; grp <= tot; grp++) if (chk(p[grp] * a[i])) { size[grp]++; flag = 1; break; } if (flag == 0) { tot++; p[tot] = a[i]; size[tot] = 1; } } sort(size + 1, size + tot + 1, cmp); pre(); ts[0] = 0; for (long long i = 1; i <= tot; i++) ts[i] = ts[i - 1] + size[i]; f[0][0] = 1; long long m = 0; for (long long i = 1; i <= tot; i++) { for (long long j = 0; j <= m + 1; j++) { if (f[i - 1][j] == 0) continue; for (long long k = 0; k < size[i]; k++) { long long temp = f[i - 1][j] * c[size[i] - 1][k]; temp %= MOD; for (long long p = 0; p <= k + 1; p++) { long long temp1 = temp * c[j][p]; temp1 %= MOD; f[i][j + size[i] - 1 - k - p] += (temp1 * c[m + 1 - j][k + 1 - p]) % MOD; f[i][j + size[i] - 1 - k - p] %= MOD; } } } m += size[i]; } for (long long i = 1; i <= tot; i++) f[tot][0] = (f[tot][0] * jie[size[i]]) % MOD; printf("%lld", f[tot][0]); return 0; }
#include <bits/stdc++.h> using namespace std; const int mo = 1000000007; const double pi = acos(-1.0); int n, a[333], b[333]; long long fac[333], inv[333], f[333][333]; long long Pow(long long x, long long y, long long mo) { long long ans = 1; for (; y; x = x * x % mo, y >>= 1) if (y & 1) ans = ans * x % mo; return ans; } long long C(int n, int m) { return fac[n] * inv[m] % mo * inv[n - m] % mo; } int main() { scanf("%d", &n); fac[0] = 1; for (int i = 1; i <= n; i++) fac[i] = fac[i - 1] * i % mo; inv[n] = Pow(fac[n], mo - 2, mo); for (int i = n; i >= 1; i--) inv[i - 1] = inv[i] * i % mo; for (int i = 1; i <= n; i++) { scanf("%d", &a[i]); for (int j = 2; j <= round(sqrt(a[i] + 0.5)); j++) while ((a[i] % (j * j)) == 0) a[i] /= j * j; } sort(a + 1, a + n + 1); int m = 1; b[1] = 1; for (int i = 2; i <= n; i++) { if (a[i] != a[i - 1]) m++; b[m]++; } for (int i = 1; i <= b[1]; i++) f[1][i] = C(b[1] - 1, i - 1); for (int i = 2; i <= m; i++) for (int j = 1; j <= n; j++) for (int k = 1; k <= b[i]; k++) if (j - k) f[i][j] = (f[i][j] + f[i - 1][j - k] * C(j, k) % mo * C(b[i] - 1, k - 1)) % mo; long long ans = 0, fff = 1; for (int i = n; i >= 1; i--) ans = (ans + fff * f[m][i]) % mo, fff *= -1; for (int i = 1; i <= m; i++) ans = (ans * fac[b[i]]) % mo; ans = (ans + mo) % mo; printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 305; const long long mod = 1e9 + 7; long long dp[2][maxn]; long long C[maxn][maxn]; long long n, fac[maxn], Inv[maxn]; long long inv(long long a) { return a == 1 ? 1 : ((mod - mod / a) * inv(mod % a)) % mod; } void pre_deal() { for (int i = 0; i <= 300; i++) { C[i][0] = 1; for (int j = 1; j <= i; j++) { C[i][j] = C[i - 1][j] + C[i - 1][j - 1]; if (C[i][j] >= mod) C[i][j] %= mod; } } fac[0] = Inv[0] = 1; for (int i = 1; i <= 300; i++) fac[i] = fac[i - 1] * i % mod, Inv[i] = inv(fac[i]); } map<vector<long long>, long long> mp; int main() { pre_deal(); cin >> n; for (int i = 1; i <= n; i++) { long long x; cin >> x; vector<long long> v; for (long long d = 2; d * d <= x; d++) { if (x % d == 0) { long long jud = 0; while (x % d == 0) x /= d, jud ^= 1; if (jud) v.push_back(d); } } if (x > 1) v.push_back(x); mp[v]++; } memset(dp, 0, sizeof(dp)); dp[0][0] = 1; long long now = 0, pre = 1; for (auto it : mp) { long long cnt = it.second; swap(now, pre); memset(dp[now], 0, sizeof(dp[now])); for (long long i = 1; i <= n; i++) { for (long long j = 1; j <= min(cnt, i); j++) { dp[now][i] += (dp[pre][i - j] * (((fac[cnt] * Inv[j]) % mod * C[cnt - 1][j - 1]) % mod)) % mod; if (dp[now][i] >= mod) dp[now][i] %= mod; } } } long long ans = 0; for (long long i = 1; i <= n; i++) { ans += (((n - i & 1) ? (mod - 1) : 1) % mod * fac[i] % mod) * dp[now][i] % mod; if (ans >= mod) ans -= mod; } printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> const long long N = 305; const long long MOD = 1e9 + 7; using namespace std; long long n, size[N], tot = 0; long long jie[N], f[N][N], a[N], p[N], ts[N], c[N][N]; long long chk(long long x) { long long m = sqrt(x); if (m * m == x) return 1; return 0; } long long cmp(long long x, long long y) { return x > y; } void pre() { for (long long i = 0; i <= n; i++) c[i][i] = c[i][0] = 1, c[i][1] = i; for (long long i = 3; i <= n; i++) { for (long long j = 2; j <= i - 1; j++) { c[i][j] = (c[i - 1][j - 1] + c[i - 1][j]) % MOD; } } jie[1] = 1; for (long long i = 2; i <= n; i++) jie[i] = jie[i - 1] * i % MOD; } int main() { scanf("%lld", &n); for (long long i = 1; i <= n; i++) { scanf("%lld", &a[i]); } for (long long i = 1; i <= n; i++) { long long flag = 0; for (long long grp = 1; grp <= tot; grp++) if (chk(p[grp] * a[i])) { size[grp]++; flag = 1; break; } if (flag == 0) { tot++; p[tot] = a[i]; size[tot] = 1; } } sort(size + 1, size + tot + 1, cmp); pre(); ts[0] = 0; for (long long i = 1; i <= tot; i++) ts[i] = ts[i - 1] + size[i]; f[0][0] = 1; for (long long i = 1; i <= tot; i++) { for (long long j = 0; j <= ts[i - 1] + 1; j++) { if (f[i - 1][j] == 0) continue; for (long long k = 1; k <= size[i]; k++) { for (long long p = 0; p <= k + 1; p++) { long long yh = f[i - 1][j] * c[j][p] % MOD; yh = (yh * c[size[i] - 1][k - 1] % MOD) % MOD; yh = (yh * c[ts[i - 1] + 1 - j][k - p] % MOD); f[i][j - p + size[i] - k] = (f[i][j - p + size[i] - k] + yh) % MOD; } } } } for (long long i = 1; i <= tot; i++) f[tot][0] = (f[tot][0] * jie[size[i]]) % MOD; printf("%lld", f[tot][0]); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int x; char c; while ((c = getchar()) < '0' || c > '9') ; for (x = c - '0'; (c = getchar()) >= '0' && c <= '9';) x = x * 10 + c - '0'; return x; } map<int, int> mp; int f[2][300 + 5], C[300 + 5][300 + 5]; int main() { int n = read(), x, i, j, k, ls = 0, s = 0, p = 0, q = 1, v = 1; for (i = 0; i <= n; ++i) for (C[i][0] = j = 1; j <= i; ++j) C[i][j] = (C[i - 1][j] + C[i - 1][j - 1]) % 1000000007; for (; n--; ++mp[x]) for (x = read(), i = 2; i * i <= x; ++i) while (x % (i * i) == 0) x /= i * i; for (map<int, int>::iterator i = mp.begin(); i != mp.end(); ++i) { ls = s; s += i->second; p ^= 1; q ^= 1; memset(f[p], 0, sizeof(f[p])); for (int i = 2; i <= s - ls; ++i) v = 1LL * v * i % 1000000007; if (!ls) { f[p][s - 1] = 1; continue; } for (int i = 0; i < ls; ++i) if (f[q][i]) for (j = 0; j <= i && j <= s - ls; ++j) for (k = 0; k <= ls + 1 - i && k <= s - ls - j; ++k) f[p][i - j + s - ls - j - k] = (f[p][i - j + s - ls - j - k] + 1LL * f[q][i] * C[i][j] % 1000000007 * C[ls + 1 - i][k] % 1000000007 * C[s - ls - 1][j + k - 1]) % 1000000007; } printf("%d", 1LL * f[p][0] * v % 1000000007); }
#include <bits/stdc++.h> using namespace std; const int MAXN = 310; const int MOD = 1000000007; int n; int qtdColors; int v[MAXN]; int anc[MAXN], sz[MAXN]; int freq[MAXN], sFreq[MAXN]; long long int fat[MAXN]; long long int dp[MAXN][MAXN]; long long int choose[MAXN][MAXN]; bool mark[MAXN]; int find(int cur) { if (anc[cur] == cur) return cur; return anc[cur] = find(anc[cur]); } void join(int i, int j) { i = find(i); j = find(j); if (i == j) return; if (sz[i] < sz[j]) swap(i, j); anc[j] = i; sz[i] += sz[j]; } bool isPerfectSquare(long long int k) { long long int r = sqrtl(k); return (r * r == k); } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d", &v[i]); fat[0] = 1; for (int i = 1; i <= n; i++) { sz[i] = 1; anc[i] = i; fat[i] = fat[i - 1] * i; fat[i] %= MOD; } for (int i = 1; i <= n; i++) { for (int j = i + 1; j <= n; j++) { long long int p = v[i]; p *= v[j]; if (isPerfectSquare(p)) join(i, j); } } for (int i = 1; i <= n; i++) { int c = find(i); if (mark[c]) continue; mark[c] = true; freq[++qtdColors] = sz[c]; } sort(freq + 1, freq + qtdColors + 1); for (int i = 1; i <= qtdColors; i++) sFreq[i] = sFreq[i - 1] + freq[i]; choose[0][0] = 1; dp[qtdColors + 1][0] = 1; for (int i = 1; i <= n; i++) { for (int j = 0; j <= n; j++) { choose[i][j] = choose[i - 1][j] + choose[i - 1][j - 1]; if (choose[i][j] >= MOD) choose[i][j] -= MOD; } } for (int i = qtdColors; i > 0; i--) { for (int k = 0; k <= sFreq[i - 1]; k++) { long long int& ans = dp[i][k]; for (int j = 1; j <= freq[i]; j++) { for (int p = 0; p <= k && p <= j; p++) { long long int cur = dp[i + 1][k + freq[i] - j - p]; cur *= choose[k][p]; cur %= MOD; cur *= choose[freq[i] - 1][j - 1]; cur %= MOD; cur *= choose[sFreq[i - 1] - k + 1][j - p]; cur %= MOD; ans += cur; if (ans >= MOD) ans -= MOD; } } ans *= fat[freq[i]]; ans %= MOD; } } printf("%lld\n", dp[1][0]); }
#include <bits/stdc++.h> using namespace std; const int N = 400; const int inf = (int)1e9 + 1; const long long big = (long long)1e18 + 1; const int P = 239; const int MOD = (int)1e9 + 7; const int MOD1 = (int)1e9 + 9; const double eps = 1e-9; const double pi = atan2(0, -1); const int ABC = 26; void add(int &x, int y) { x += y; if (x >= MOD) x -= MOD; } int f(int x) { int res = 1; for (int i = 2; i * i <= x; i++) { int c = 0; while (x % i == 0) { c ^= 1; x /= i; } if (c == 1) res *= i; } if (x > 1) res *= x; return res; } int a[N]; int dp[N + 1][N][N]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.precision(20); int n; cin >> n; for (int i = 0; i < n; i++) { cin >> a[i]; a[i] = f(a[i]); } sort(a, a + n); dp[0][0][0] = 1; int last = 0; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) for (int k = 0; k < n; k++) { if (dp[i][j][k] == 0) continue; int c1 = (i - last) * 2 - k; int c2 = j; int c3 = (i + 1) - c1 - c2; if (c1 > 0) add(dp[i + 1][j][k + 1], (long long)dp[i][j][k] * c1 % MOD); if (c2 > 0) add(dp[i + 1][j - 1][k], (long long)dp[i][j][k] * c2 % MOD); if (c3 > 0) add(dp[i + 1][j][k], (long long)dp[i][j][k] * c3 % MOD); } if (i == n - 1 || a[i] != a[i + 1]) { last = i + 1; for (int j = 0; j < n; j++) for (int k = 0; k < n; k++) if (dp[i + 1][j][k] != 0 && k > 0) { add(dp[i + 1][j + k][0], dp[i + 1][j][k]); dp[i + 1][j][k] = 0; } } } cout << dp[n][0][0] << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 302, mod = 1e9 + 7; long long dp[N][N], a[N], prime[N], fac[N], x, y, g, n, b[N], sb = 1, c1, c2, cnt, sfr; long long xgcd(long long a, long long b, long long &x, long long &y) { if (b == 0) { x = 1; y = 0; return a; } long long x1, y1, gcd = xgcd(b, a % b, x1, y1); x = y1; y = x1 - (long long)(a / b) * y1; return gcd; } long long entekhab(long long r, long long n) { if (r > n) return 0; if (r == 0) return 1; long long ans = 1; ans = fac[n]; x = 1, y = 1, g = xgcd(fac[r], mod, x, y); ans = (ans * ((x + mod) % mod)) % mod; x = 1, y = 1, g = xgcd(fac[n - r], mod, x, y); ans = ((ans * ((x + mod) % mod))) % mod; return ans; } int main() { fac[0] = 1; for (long long i = 1; i < N; i++) fac[i] = (fac[i - 1] * i) % mod; cin >> n; for (long long i = 0; i < n; i++) { cin >> a[i]; for (int j = 2; j * j <= a[i]; j++) { while (a[i] % (j * j) == 0) a[i] = a[i] / (j * j); } } sort(a, a + n); for (long long i = 0; i < n; i++) { if (i != 0 && a[i] != a[i - 1]) { sb++; b[sb]++; } else b[sb]++; } a[0] = 0, n = sb + 1; for (long long i = 1; i < n; i++) a[i] = b[i] + a[i - 1]; dp[1][b[1] - 1] = 1; for (long long i = 2; i < n; i++) { for (long long j = 0; j < a[i]; j++) { for (long long k = 0; k < a[i - 1]; k++) { for (long long l = max(sfr, k - j); l < min(k, b[i]) + 1; l++) { c1 = b[i] - l; c2 = j - (k - l); c1 -= c2; if (c1 >= 0) { cnt = (((dp[i - 1][k] * entekhab(l, k)) % mod) * entekhab(c1, a[i - 1] - k + 1)) % mod; c1 += l; cnt = (cnt * entekhab(c1 - 1, c1 + c2 - 1)) % mod; dp[i][j] = (dp[i][j] + cnt) % mod; } } } } } for (long long i = 0; i < n; i++) dp[n - 1][0] = (dp[n - 1][0] * fac[b[i]]) % mod; cout << dp[n - 1][0]; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; const int maxn = 2e6 + 88; const int inf = 1e9 + 88; const int logn = 22; const int maxa = 3e6 + 88; const long long infll = 1e18 + 88; const char sgl[5] = {'a', 'e', 'i', 'o', 'u'}; const int dx[] = {-1, 1, 0, 0}; const int dy[] = {0, 0, -1, 1}; const char sep = 'a' - 1; const double eps = 1e-9; int readint() { long long cur; scanf("%I64d", &cur); return cur; } int sum(int a, int b) { return (1ll * a + 1ll * b + mod) % mod; } int umn(int a, int b) { return (1ll * a * b) % mod; } int g[maxn], a[maxn]; bool used[maxn]; int timer; int dp[388][388]; int f[maxn], c[388][388]; bool sq(int a, int b) { long long s = 1ll * a * b; long long l = 0, r = maxn; while (l < r) { long long mid = (l + r + 1) / 2; if (mid * mid > s) r = mid - 1; else l = mid; } return l * l == s; } void solve() { int n, i, j, k, q; cin >> n; for (i = 0; i < n; i++) cin >> a[i]; f[0] = 1; for (i = 1; i < 388; i++) f[i] = umn(f[i - 1], i); for (i = 0; i < 388; i++) c[0][i] = 1; for (i = 1; i < 388; i++) for (j = 1; j <= i; j++) c[j][i] = sum(c[j][i - 1], c[j - 1][i - 1]); for (i = 0; i < n; i++) if (!used[i]) { used[i] = true; g[timer] = 1; for (j = i + 1; j < n; j++) if (sq(a[i], a[j])) g[timer]++, used[j] = true; timer++; } dp[0][0] = 1; int all = 1; for (i = 0; i < timer; i++) { for (j = 0; j <= all; j++) if (dp[i][j] != 0) { for (k = 1; k <= min(g[i], all); k++) for (q = 0; q <= min(k, j); q++) dp[i + 1][j - q + g[i] - k] = sum(dp[i + 1][j - q + g[i] - k], umn(f[g[i]], umn(c[q][j], umn(c[k - 1][g[i] - 1], umn(dp[i][j], c[k - q][all - j]))))); } all += g[i]; } cout << dp[timer][0]; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); solve(); return 0; }
#include <bits/stdc++.h> const long long int MODULO = 1000000007; int main() { int n; std::cin >> n; std::vector<long long int> a(n); for (int i = 0; i < n; ++i) { std::cin >> a[i]; } std::vector<bool> is_used(n, false); std::vector<int> same_class_sizes; for (int i = 0; i < n; ++i) { if (!is_used[i]) { int class_size = 1; for (int j = i + 1; j < n; ++j) { if (a[i] * a[j] == static_cast<long long int>(sqrt(a[i] * a[j])) * static_cast<long long int>(sqrt(a[i] * a[j]))) { ++class_size; is_used[j] = true; } } same_class_sizes.push_back(class_size); } } std::vector<std::vector<int>> binom(n + 2); for (int i = 0; i < n + 2; ++i) { binom[i].resize(n + 2, 0); binom[i][0] = (i == 0 ? 1 : 0); } for (int i = 1; i < n + 2; ++i) { for (int j = 0; j < n + 2; ++j) { if (j >= 1) { binom[j][i] = binom[j][i - 1] + binom[j - 1][i - 1]; } else { binom[j][i] = binom[j][i - 1]; } binom[j][i] %= MODULO; } } std::vector<int> prev_perm_counts(1, 1); std::vector<int> perm_counts; int total_numbers_count = 0; int prev_total_numbers_count = 0; for (size_t i = 0; i < same_class_sizes.size(); ++i) { total_numbers_count += same_class_sizes[i]; perm_counts.resize(total_numbers_count + 1, 0); for (int errors_count = 0; errors_count < total_numbers_count; ++errors_count) { for (int dropped_errors = 0; dropped_errors < same_class_sizes[i] + 1; ++dropped_errors) { for (int rest_places = 0; rest_places < std::min(prev_total_numbers_count + 2, same_class_sizes[i] - dropped_errors + 1); ++rest_places) { int new_errors = same_class_sizes[i] - dropped_errors - rest_places; int old_errors_count = errors_count + dropped_errors - new_errors; if (old_errors_count >= 0 && old_errors_count < prev_total_numbers_count + 1 && new_errors >= 0 && new_errors < total_numbers_count + 1 && dropped_errors + rest_places >= 1) { long long int addon = prev_perm_counts[old_errors_count]; addon *= binom[dropped_errors][old_errors_count]; addon %= MODULO; addon *= binom[rest_places] [prev_total_numbers_count + 1 - old_errors_count]; addon %= MODULO; addon *= binom[dropped_errors + rest_places - 1] [same_class_sizes[i] - 1]; addon %= MODULO; perm_counts[errors_count] += addon; perm_counts[errors_count] %= MODULO; } } } } prev_total_numbers_count = total_numbers_count; prev_perm_counts = std::move(perm_counts); } std::vector<long long int> factorial(n + 1); factorial[0] = 1; for (int i = 1; i < n + 1; ++i) { factorial[i] = i * factorial[i - 1]; factorial[i] %= MODULO; } long long int result; if (prev_perm_counts.size() == 0) { result = 1; } else { result = prev_perm_counts[0]; } for (auto& size : same_class_sizes) { result *= factorial[size]; result %= MODULO; } std::cout << result << std::endl; return 0; }
#include <bits/stdc++.h> #pragma GCC target("avx2") #pragma GCC optimization("O3") #pragma GCC optimization("unroll-loops") #pragma GCC optimize("Ofast") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") using namespace std; void __print(long long x) { cerr << x; } void __print(long x) { cerr << x; } void __print(unsigned x) { cerr << x; } void __print(unsigned long x) { cerr << x; } void __print(unsigned long long x) { cerr << x; } void __print(float x) { cerr << x; } void __print(double x) { cerr << x; } void __print(long double x) { cerr << x; } void __print(char x) { cerr << '\'' << x << '\''; } void __print(const char *x) { cerr << '\"' << x << '\"'; } void __print(const string &x) { cerr << '\"' << x << '\"'; } void __print(bool x) { cerr << (x ? "true" : "false"); } template <typename T, typename V> void __print(const pair<T, V> &x) { cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}'; } template <typename T> void __print(const T &x) { long long f = 0; cerr << '{'; for (auto &i : x) cerr << (f++ ? "," : ""), __print(i); cerr << "}"; } void _print() { cerr << "]\n"; } template <typename T, typename... V> void _print(T t, V... v) { __print(t); if (sizeof...(v)) cerr << ", "; _print(v...); } const long long MAX = 305; const long long mod = 1e9 + 7; long long dp[MAX][MAX]; bool O[MAX]; long long tab[MAX]; long long fact[MAX]; vector<long long> colors; bool kwadrat(long long a, long long b) { long long mul = a * b; long long x = sqrt(mul); while (x * x > mul) x--; while (x * x < mul) x++; return (x * x == mul); } long long fastpow(long long a, long long b) { long long wynik = 1; while (b) { if (b & 1) wynik = (wynik * a) % mod; a = (a * a) % mod; b >>= 1; } return wynik; } long long division(long long a, long long b) { return (a * fastpow(b, mod - 2)) % mod; } long long binom(long long a, long long b) { if (b > a) return 0; long long mina = (fact[b] * fact[a - b]) % mod; return division(fact[a], mina); } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); long long n; cin >> n; fact[0] = 1; for (long long i = 1; i < MAX; i++) fact[i] = (fact[i - 1] * i) % mod; for (long long i = 1; i <= n; i++) cin >> tab[i]; for (long long i = 1; i <= n; i++) { if (O[i]) continue; O[i] = true; long long cnt = 1; for (long long j = i + 1; j <= n; j++) { if (kwadrat(tab[i], tab[j])) O[j] = true, cnt++; } colors.push_back(cnt); } long long sum = n; n = colors.size(); dp[0][0] = 1; long long all = 1, add = 0; for (long long i = 0; i < n; i++) { for (long long j = 0; j <= sum; j++) { if (dp[i][j]) for (long long k = 1; k <= colors[i]; k++) { long long mul = (dp[i][j] * binom(colors[i] - 1, k - 1)) % mod; for (long long r = 0; r <= k; r++) { add = (((mul * binom(j, r)) % mod) * binom(all - j, k - r)) % mod; if (add) dp[i + 1][j + colors[i] - k - r] = (add + dp[i + 1][j + colors[i] - k - r]) % mod; } } } all += colors[i]; } for (long long i = 0; i < n; i++) dp[n][0] = (dp[n][0] * fact[colors[i]]) % mod; cout << dp[n][0]; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 755, P = 1e9 + 7; int n, m, a[N], b[N], c[N], s[N]; long long comb[N][N], f[N][N], fac[N], factor[N]; void pre() { int i, j; comb[0][0] = 1ll; for (i = 1; i <= n; ++i) { comb[i][0] = 1; for (j = 1; j <= i; ++j) comb[i][j] = (comb[i - 1][j] + comb[i - 1][j - 1]) % P; } fac[0] = 1; for (i = 1; i <= n; ++i) fac[i] = fac[i - 1] * i % P; } void solve() { int i, sum = 0, j, k, l; f[1][c[1] - 1] = 1; for (i = 1; i + 1 <= m; ++i) { sum += c[i]; for (j = 0; j + i <= sum; ++j) { if (!f[i][j]) continue; for (k = 1; k <= min(c[i + 1], sum + 1); ++k) { for (l = 0; l <= k; ++l) { f[i + 1][j + (c[i + 1] - k) - l] += f[i][j] * comb[j][l] % P * comb[sum + 1 - j][k - l] % P * comb[c[i + 1] - k + k - 1][k - 1] % P; f[i + 1][j + (c[i + 1] - k) - l] %= P; } } } } long long ans = f[m][0]; for (i = 1; i <= m; ++i) (ans *= fac[c[i]]) %= P; printf("%lld\n", ans); } bool check(long long a, long long b) { long long x = round(sqrt(1.0 * a * b)), d; for (d = -1; d <= 1; ++d) if ((x + d) * (x + d) == a * b) return true; return false; } int main(int argc, char *argv[]) { int i, j, p; scanf("%d", &n); pre(); for (i = 1; i <= n; ++i) scanf("%d", &a[i]); for (i = 1; i <= n; ++i) { if (!b[i]) b[i] = ++m; else continue; c[m] = 1; for (j = i + 1; j <= n; ++j) if (check(a[i], a[j])) ++c[m], b[j] = m; } solve(); return 0; }
#include <bits/stdc++.h> using namespace std; long long int ar1[305]; class UnionFind { private: vector<int> p, rank, setSize; int numSets; public: UnionFind(int N) { setSize.assign(N, 1); numSets = N; rank.assign(N, 0); p.assign(N, 0); for (int i = 0; i < N; i++) p[i] = i; } int findSet(int i) { return (p[i] == i) ? i : (p[i] = findSet(p[i])); } bool isSameSet(int i, int j) { return findSet(i) == findSet(j); } void unionSet(int i, int j) { if (!isSameSet(i, j)) { numSets--; int x = findSet(i), y = findSet(j); if (rank[x] > rank[y]) { p[y] = x; setSize[x] += setSize[y]; } else { p[x] = y; setSize[y] += setSize[x]; if (rank[x] == rank[y]) rank[y]++; } } } int numDisjointSets() { return numSets; } int sizeOfSet(int i) { return setSize[findSet(i)]; } }; long long int bigmod(long long int a, long long int p) { if (p == 1) return a % 1000000007; if (p % 2) return (a * bigmod(a, p - 1)) % 1000000007; long long int c = bigmod(a, p / 2); return (c * c) % 1000000007; } long long int factn[1000], invfactn[1000]; long long int factm[1000], invfactm[1000]; void init(int n) { factn[0] = 1; invfactn[0] = 1; for (long long int i = 1; i <= n; i++) factn[i] = (factn[i - 1] * i) % 1000000007; for (long long int i = 1; i <= n; i++) invfactn[i] = (invfactn[i - 1] * bigmod(i, 1000000007 - 2)) % 1000000007; return; } void init2(int n) { factm[0] = 1; invfactm[0] = 1; for (long long int i = 1; i <= n; i++) factm[i] = (factm[i - 1] * i) % 1000000007; for (long long int i = 1; i <= n; i++) invfactm[i] = (invfactm[i - 1] * bigmod(i, 1000000007 - 2)) % 1000000007; return; } long long int nCr(int n, int r) { if (n < 0) return 0; if (n < r) return 0; long long int res = (invfactn[n - r] * invfactn[r]) % 1000000007; res = (res * factn[n]) % 1000000007; return res; } long long int nPr2(int n, int r) { long long int res = (invfactm[n - r]) % 1000000007; res = (res * factm[n]) % 1000000007; return res; } vector<int> vec1; long long int dp[305][305]; long long int call(int i, int bad, int n, int total) { if (i == n) return (bad == 0); long long int &ret = dp[i][bad]; if (ret != -1) return ret; ret = 0; int cur_total = total + vec1[i]; int gaps = total + 1; for (int split = 1; split <= min(gaps, vec1[i]); split++) { for (int chosen_bad_gap = 0; chosen_bad_gap <= min(bad, split); chosen_bad_gap++) { int good_gaps = gaps - chosen_bad_gap; int new_bad = bad - chosen_bad_gap + vec1[i] - split; int good_splits = split - chosen_bad_gap; long long int temp = 1; temp = (nCr(vec1[i] - 1, split - 1) * factn[vec1[i]]) % 1000000007; temp = (temp * nCr(bad, chosen_bad_gap)) % 1000000007; temp = (temp * nCr(gaps - bad, good_splits)) % 1000000007; temp = (temp * call(i + 1, new_bad, n, total + vec1[i])) % 1000000007; ret = (ret + temp) % 1000000007; } } return ret; } int main() { map<int, int> Map; int n, k; cin >> n; for (int i = 0; i < n; i++) { scanf("%d", &ar1[i]); Map[ar1[i]]++; } UnionFind uf(n); for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) { double a = sqrt(ar1[i] * ar1[j]); if (floor(a) == ceil(a)) uf.unionSet(i, j); } init(n + 2); int s = uf.numDisjointSets(); set<int> S; for (int i = 0; i < n; i++) S.insert(uf.findSet(i)); vector<int> x; for (set<int>::iterator it = S.begin(); it != S.end(); it++) x.push_back(*it); for (int i = 0; i < x.size(); i++) vec1.push_back(uf.sizeOfSet(x[i])); memset(dp, -1, sizeof(dp)); long long int res = call(0, 0, x.size(), 0); printf("%lld\n", res); return 0; }
#include <bits/stdc++.h> using namespace std; using llint = long long; int n, m, a[600], c[600][600], mom[600]; llint f[600][600], inv[600 + 1], fac[600 + 1]; vector<int> g; int dfs(int i) { int res = 1; mom[i] = 1; for (int j = 0; j < n; ++j) { if (c[i][j] == 0 || mom[j] == 1) { continue; } res += dfs(j); } return res; } void pre() { fac[0] = fac[1] = 1; for (int i = 2; i <= 600; ++i) { fac[i] = fac[i - 1] * i; if (fac[i] >= 1000000007) { fac[i] %= 1000000007; } } inv[0] = inv[1] = 1; for (int i = 2; i <= 600; ++i) { inv[i] = (1000000007 - (1000000007 / i) * inv[1000000007 % i] % 1000000007) % 1000000007; } for (int i = 2; i <= 600; ++i) { inv[i] *= inv[i - 1]; if (inv[i] >= 1000000007) { inv[i] %= 1000000007; } } } llint ncom(llint k, llint n) { if (k > n) { return 0; } llint res = fac[n]; res *= inv[n - k]; if (res >= 1000000007) { res %= 1000000007; } res *= inv[k]; if (res >= 1000000007) { res %= 1000000007; } return res; } void update(int i, int p) { if (f[i][p] > 0) { int s = g[i]; int n = g[i + 1] - s; for (int l = 1; l <= min(n, s + 1); ++l) { for (int r = 0; r <= min(p, l); ++r) { llint &res = f[i + 1][(p - r) + (n - l)]; llint t = fac[n] * f[i][p] % 1000000007; t = t * ncom(r, p) % 1000000007; t = t * ncom(l - r, s + 1 - p) % 1000000007; t = t * ncom(n - l, n - 1) % 1000000007; res = (res + t) % 1000000007; } } } } int main() { pre(); cin >> n; for (int i = 0; i < n; ++i) { cin >> a[i]; } for (int i = 0; i < n; ++i) { for (int j = i + 1; j < n; ++j) { llint M = (llint)a[i] * a[j]; llint r = sqrt(M); while (r * r < M) { r += 1; } if (r * r == M) { c[i][j] = c[j][i] = 1; } } } for (int i = 0; i < n; ++i) { if (mom[i] == 1) { continue; } g.emplace_back(dfs(i)); } m = g.size(); for (int i = 1; i < m; ++i) { g[i] += g[i - 1]; } f[0][g[0] - 1] = fac[g[0]]; for (int i = 0; i + 1 < m; ++i) { for (int j = 0; j < g[i]; ++j) { update(i, j); } } cout << f[m - 1][0] << "\n"; }
#include <bits/stdc++.h> using namespace std; vector<int> sim[305], coba; int bapak[305]; int arr[305]; int ini[305]; long long f[305][305], fakt[305], inv[305], kali[305], power[305]; long long comb[305][305]; void gabung(int a, int b) { int x = bapak[a]; int y = bapak[b]; if (x != y) { if (sim[x].size() < sim[y].size()) { for (int i = 0; i < sim[x].size(); i++) { sim[y].push_back(sim[x][i]); bapak[sim[x][i]] = y; } sim[x].clear(); } else { for (int i = 0; i < sim[y].size(); i++) { sim[x].push_back(sim[y][i]); bapak[sim[y][i]] = x; } sim[y].clear(); } } } int main() { int n; cin >> n; comb[0][0] = 1; comb[1][1] = 1; comb[1][0] = 1; for (int i = 2; i <= 300; i++) { for (int j = 0; j <= i; j++) { if (j == 0 || j == i) comb[i][j] = 1; else { comb[i][j] = (comb[i - 1][j] + comb[i - 1][j - 1]) % 1000000007; } } } fakt[0] = 1; for (int i = 1; i <= 300; i++) { fakt[i] = (fakt[i - 1] * i) % 1000000007; } for (int i = 1; i <= 300; i++) { kali[i] = fakt[i]; inv[i] = 1; } int now = 1, is = 1000000007 - 2; while (now <= is) { if ((now & is) > 0) { for (int i = 1; i <= 300; i++) { inv[i] = (inv[i] * kali[i]) % 1000000007; } } for (int i = 1; i <= 300; i++) { kali[i] = (kali[i] * kali[i]) % 1000000007; } now *= 2; } for (int i = 1; i <= n; i++) { bapak[i] = i; sim[i].push_back(i); cin >> arr[i]; } for (int i = 1; i <= n; i++) { for (int j = i + 1; j <= n; j++) { long long kali = (long long)arr[i] * arr[j]; long long akar = sqrt(kali); if (akar * akar == kali) { gabung(i, j); } } } int nyak = 0; for (int i = 1; i <= n; i++) { if (sim[i].size() != 0) { ini[nyak] = sim[i].size(); power[nyak] = fakt[ini[nyak]]; coba.clear(); for (int j = 0; j < sim[i].size(); j++) { coba.push_back(arr[sim[i][j]]); } sort(coba.begin(), coba.end()); int ban = 0; for (int j = 0; j < coba.size(); j++) { if (j == 0 || coba[j] == coba[j - 1]) { ban++; } else { power[nyak] = (power[nyak] * inv[ban]) % 1000000007; ban = 1; } } power[nyak] = (power[nyak] * inv[ban]) % 1000000007; nyak++; } } memset(f, 0, sizeof(f)); f[0][0] = 1; int total = 0; for (int now = 0; now < nyak; now++) { for (int pis = 0; pis < total + 1; pis++) { if (f[now][pis] == 0) continue; for (int s = 1; s <= min(total + 1, ini[now]); s++) { for (int d = 0; d <= min(pis, s); d++) { long long tambah = (comb[ini[now] - 1][s - 1] * comb[pis][d]) % 1000000007; tambah = (tambah * comb[total + 1 - pis][s - d]) % 1000000007; tambah = (tambah * fakt[ini[now]]) % 1000000007; tambah = (tambah * f[now][pis]) % 1000000007; f[now + 1][pis - d + ini[now] - s] = (f[now + 1][pis - d + ini[now] - s] + tambah) % 1000000007; } } } total += ini[now]; } cout << f[nyak][0] << "\n"; }
#include <bits/stdc++.h> using namespace std; const int maxn = 310; const int mod = 1e9 + 7; long long C[maxn][maxn], Fact[maxn]; void init() { C[0][0] = 1, Fact[0] = 1; for (int i = 1; i < maxn; i++) { C[i][0] = 1, Fact[i] = Fact[i - 1] * i % mod; for (int j = 1; j <= i; j++) C[i][j] = (C[i - 1][j - 1] + C[i - 1][j]) % mod; } } long long num[maxn], emp[maxn], dp[maxn][maxn]; int main() { init(); int n; scanf("%d", &n); int tot = 0; for (int i = 1; i <= n; i++) { long long tmp; scanf("%lld", &tmp); int key = 1; for (int j = 1; j <= tot; j++) { long long x = (sqrt(tmp * emp[j]) + 0.5); if (x * x == tmp * emp[j]) key = 0, num[j]++; } if (key) ++tot, num[tot] = 1, emp[tot] = tmp; } dp[0][0] = 1; int m = 0; for (int i = 1; i <= tot; i++) { for (int j = 0; j <= n - 1 && j <= m + 1; j++) { if (dp[i - 1][j] == 0) continue; for (int k = 1; k <= num[i]; k++) { long long tmp = dp[i - 1][j] * C[num[i] - 1][k - 1] % mod; for (int p = 0; p <= k && p <= j + num[i] - k; p++) { long long temp = tmp * C[j][p] % mod; dp[i][j + num[i] - k - p] = (dp[i][j + num[i] - k - p] + temp * C[m + 1 - j][k - p] % mod) % mod; } } } m += num[i]; } long long ans = dp[tot][0]; for (int i = 1; i <= tot; i++) ans = ans * Fact[num[i]] % mod; printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const long long maxN = 309; const long long INF = 1e9 + 7; long long bin(long long a, long long b) { if (b == 0) { return 1; } else { long long res = bin(a, b / 2); res = res * res % INF; if (b % 2 == 1) { res = res * a % INF; } return res; } } long long fact[4 * maxN]; long long rev[4 * maxN]; map<long long, long long> mp; long long equiv[maxN]; long long d[4 * maxN][maxN]; static bool was[4 * maxN][maxN]; long long get_c(long long a, long long b) { return (long long)fact[a] * rev[a - b] % INF * rev[b] % INF; } long long lazy(long long windows, long long i, long long num) { if (i == num - 1) { if (windows == equiv[i]) { return 1; } else { return 0; } } if (was[windows][i]) { return d[windows][i]; } long long res = 0; for (long long k = 0; k <= min(windows - 1, equiv[i]); k++) { for (long long j = 0; j <= min(equiv[i] - k, (windows - k) * 2); j++) { res = (res + (long long)get_c(windows, k) * get_c((windows - k) * 2, j) % INF * get_c(equiv[i] - j - k + (windows - k) - 1, equiv[i] - j - k) % INF * lazy((windows - k) + equiv[i] - j - k, i + 1, num) % INF) % INF; } } d[windows][i] = res; was[windows][i] = true; return d[windows][i]; } int main() { fact[0] = 1; for (long long i = 1; i < 4 * maxN; i++) { fact[i] = (long long)fact[i - 1] * i % INF; } for (long long i = 0; i < 4 * maxN; i++) { rev[i] = bin(fact[i], INF - 2); } long long n; cin >> n; for (long long i = 0; i < n; i++) { long long a; cin >> a; bool truth = false; long long need; for (auto b : mp) { long long key = b.first; long long res = key * a; long long l = 1, r = INF; while (l + 1 != r) { long long m = (l + r) / 2; if (res < m * m) { r = m; } else { l = m; } } if (l * l == res) { need = key; truth = true; break; } } if (!truth) { mp[a] = 1; } else { mp[need]++; } } long long nxt = 0; for (auto b : mp) { equiv[nxt++] = b.second; } long long res = lazy(1, 0, nxt); for (long long i = 0; i < nxt; i++) { res = res * fact[equiv[i]] % INF; } cout << res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 302, mod = 1e9 + 7; long long dp[N][N], a[N], prime[N], fac[N], x, y, g, n, b[N], sb = 1, c1, c2, cnt, sfr; long long xgcd(long long a, long long b, long long &x, long long &y) { if (b == 0) { x = 1; y = 0; return a; } long long x1, y1, gcd = xgcd(b, a % b, x1, y1); x = y1; y = x1 - (long long)(a / b) * y1; return gcd; } long long entekhab(long long r, long long n) { if (r > n) return 0; if (r == 0) return 1; long long ans = 1; ans = fac[n]; x = 1, y = 1, g = xgcd(fac[r], mod, x, y); ans = (ans * ((x + mod) % mod)) % mod; x = 1, y = 1, g = xgcd(fac[n - r], mod, x, y); ans = ((ans * ((x + mod) % mod))) % mod; return ans; } int main() { fac[0] = 1; for (long long i = 1; i < N; i++) fac[i] = (fac[i - 1] * i) % mod; cin >> n; for (long long i = 0; i < n; i++) { cin >> a[i]; for (int j = 2; j * j <= a[i]; j++) { while (a[i] % (j * j) == 0) a[i] = a[i] / (j * j); } } sort(a, a + n); for (long long i = 0; i < n; i++) { if (i != 0 && a[i] != a[i - 1]) { sb++; b[sb]++; } else b[sb]++; } a[0] = 0, n = sb + 1; for (long long i = 1; i < n; i++) a[i] = b[i] + a[i - 1]; dp[1][b[1] - 1] = 1; for (long long i = 2; i < n; i++) { for (long long j = 0; j < a[i]; j++) { for (long long k = 0; k < a[i - 1]; k++) { for (long long l = max(sfr, k - j); l < min(k, b[i]) + 1; l++) { c1 = b[i] - l; c2 = j - (k - l); c1 -= c2; if (c1 >= 0) { cnt = (((dp[i - 1][k] * entekhab(l, k)) % mod) * entekhab(c1, a[i - 1] - k + 1)) % mod; c1 += l; cnt = (cnt * entekhab(c1 - 1, c1 + c2 - 1)) % mod; dp[i][j] = (dp[i][j] + cnt) % mod; } } } } } for (long long i = 0; i < n; i++) dp[n - 1][0] = (dp[n - 1][0] * fac[b[i]]) % mod; cout << dp[n - 1][0]; }
#include <bits/stdc++.h> using namespace std; long long n, a[310]; long long fac[310], rev[310]; bool mmp[310][310]; long long mod = (long long)1e9 + 7; long long qmod(long long a, long long p) { long long ret = 1; while (p) { if (p & 1) ret = (ret * a) % mod; a = (a * a) % mod; p /= 2; } return ret; } void Init() { fac[0] = 1; for (int i = 1; i < 310; ++i) fac[i] = fac[i - 1] * i; rev[0] = 1; for (int i = 1; i < 310; ++i) rev[i] = qmod(fac[i], mod - 2); } long long C(int n, int m) { return fac[n] * rev[m] % mod * rev[n - m] % mod; } bool isSqure(long long q) { long long sq = (long long)sqrt(q); return sq * sq == q; } void input() { istream& in = cin; in >> n; for (int i = 1; i <= n; ++i) in >> a[i]; } bool vis[310]; int dfs(int p) { if (vis[p]) return 0; vis[p] = 1; int ret = 1; for (int i = 1; i <= n; ++i) { if (mmp[p][i]) { ret += dfs(i); } } return ret; } int num[310]; long long dp[310][310][310]; bool END[310]; void add(long long& a, long long b) { a %= mod; b %= mod; a = (a + b) % mod; } int main() { input(); Init(); for (int i = 1; i <= n; ++i) for (int j = i + 1; j <= n; ++j) { if (isSqure(a[i] * a[j])) { mmp[i][j] = mmp[j][i] = 1; } } vector<int> block; for (int i = 1; i <= n; ++i) { int ret = dfs(i); if (ret) block.push_back(ret); } sort(block.begin(), block.end()); reverse(block.begin(), block.end()); int sum = 0; for (int p : block) { for (int i = 1; i <= p; ++i) num[sum + i] = i; sum += p; END[sum] = 1; } dp[0][0][0] = 1; for (int i = 1; i <= n; ++i) for (int j = 0; j <= n + 1; ++j) for (int k = 0; k <= n + 1; ++k) { long long& ref = dp[i - 1][j][k]; if (dp[i - 1][j][k] == 0) continue; int allslot = i; int prewa = j - k; int nowwa = k; int nookwaslot = (num[i] - 1) * 2 - 2 * nowwa; int okslot = allslot - j - nookwaslot; if (!END[i]) { if (j > 0) add(dp[i][j - 1][k], dp[i - 1][j][k] * prewa); add(dp[i][j + 1][k + 1], dp[i - 1][j][k] * nowwa); add(dp[i][j][k], dp[i - 1][j][k] * okslot); add(dp[i][j + 1][k + 1], dp[i - 1][j][k] * nookwaslot); } else { if (j > 0) add(dp[i][j - 1][0], dp[i - 1][j][k] * prewa); add(dp[i][j + 1][0], dp[i - 1][j][k] * nowwa); add(dp[i][j][0], dp[i - 1][j][k] * okslot); add(dp[i][j + 1][0], dp[i - 1][j][k] * nookwaslot); } } cout << dp[n][0][0] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long n, ans, binom[510][510], a[510], dp[510][510], grNum, grSize[510], f[510]; const long long mod = 1e9 + 7; void fix(long long &a) { a %= mod; if (a < 0) { a += mod; } } void getBin() { for (long long i = 0; i < 510; ++i) { binom[i][0] = 1; } for (long long i = 1; i < 510; ++i) { for (long long j = 1; j <= i; ++j) { binom[i][j] = (binom[i - 1][j] + binom[i - 1][j - 1]); fix(binom[i][j]); } } f[0] = 1; for (long long i = 1; i < 510; ++i) { f[i] = f[i - 1] * i; fix(f[i]); } } signed main() { ios_base::sync_with_stdio(0); cout.tie(0); cin.tie(0); cin >> n; getBin(); for (long long i = 0; i < n; ++i) { long long tmp; cin >> tmp; for (long long j = 2; j * j <= tmp; ++j) { while ((tmp % (j * j)) == 0) { tmp /= (j * j); } } a[i] = tmp; } sort(a, a + n); grNum = 1; grSize[grNum - 1]++; for (long long i = 1; i < n; ++i) { if (a[i] == a[i - 1]) { grSize[grNum - 1]++; } else { grSize[grNum]++; ++grNum; } } dp[0][grSize[0] - 1] = 1; for (long long total = grSize[0], i = 1; i < grNum; total += grSize[i], ++i) { for (long long j = 0; j < total; ++j) { for (long long numSeg = 1; numSeg <= grSize[i]; ++numSeg) { for (long long solvedPairs = 0; solvedPairs <= min(j, numSeg); ++solvedPairs) { long long tmp = 0; tmp += dp[i - 1][j] * binom[grSize[i] - 1][numSeg - 1]; fix(tmp); tmp *= binom[j][solvedPairs]; fix(tmp); tmp *= binom[total + 1 - j][numSeg - solvedPairs]; fix(tmp); tmp *= f[grSize[i - 1]]; fix(tmp); dp[i][j + grSize[i] - numSeg - solvedPairs] += tmp; fix(dp[i][j + grSize[i] - numSeg - solvedPairs]); } } } } dp[grNum - 1][0] *= f[grSize[grNum - 1]]; fix(dp[grNum - 1][0]); cout << dp[grNum - 1][0] << '\n'; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; const long long maxn = 510; long long fac[maxn]; long long dp[maxn][maxn]; long long c[maxn][maxn]; long long a[maxn], cnt[maxn]; bool vis[maxn]; long long n, sz; bool perfect_square(long long x) { long long l = 1, r = 1e9; long long now = l; while (l <= r) { long long mid = (l + r) >> 1; if (mid * mid <= x) { now = mid; l = mid + 1; } else r = mid - 1; } return now * now == x; } void get_comb() { c[0][0] = 1; fac[0] = 1; for (long long i = 1; i <= 300; i++) { c[i][0] = 1; for (long long j = 1; j <= i; j++) { c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod; } } for (long long i = 1; i <= 300; i++) fac[i] = (fac[i - 1] * i) % mod; } void slove() { dp[0][cnt[0] - 1] = 1; long long lim = cnt[0]; for (long long i = 1; i < sz; i++) { for (long long j = 0; j < lim; j++) { for (long long k = 0; k < cnt[i]; k++) { for (long long m = 0; m <= min(j, k + 1); m++) { long long ways = c[cnt[i] - 1][k] % mod * c[j][m] % mod * c[lim - 1 - j + 2][k + 1 - m] % mod; dp[i][j + cnt[i] - 1 - k - m] = (dp[i][j + cnt[i] - 1 - k - m] + dp[i - 1][j] * ways % mod) % mod; } } } lim += cnt[i]; } long long ans = dp[sz - 1][0]; for (long long i = 0; i < sz; i++) { ans *= fac[cnt[i]]; ans %= mod; } cout << ans << endl; } int main() { scanf("%I64d", &n); for (long long i = 0; i < n; i++) scanf("%I64d", &a[i]); for (long long i = 0; i < n; i++) { if (vis[i] == 0) { for (long long j = i; j < n; j++) { if (perfect_square(1LL * a[i] * a[j])) { cnt[sz]++; vis[j] = 1; } } sz++; } } get_comb(); slove(); return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; long long z = 1; int c[305][305], fac[305], sum[305], a[305], v[305], f[305][305], tot, sz; int pd(int a, int b) { long long c = z * a * b, j; j = sqrt(c); return j * j == c; } int main() { int i, j, k, l, n, m; for (i = 0; i <= 300; i++) { c[i][0] = 1; for (j = 1; j <= i; j++) c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod; } for (fac[0] = i = 1; i <= 300; i++) fac[i] = z * fac[i - 1] * i % mod; scanf("%d", &n); for (i = 1; i <= n; i++) scanf("%d", &a[i]); for (i = 1; i <= n; i++) { if (v[i]) continue; sum[++tot] = 1; v[i] = 1; for (j = i + 1; j <= n; j++) { if (pd(a[i], a[j])) v[j] = 1, sum[tot]++; } } f[0][0] = 1; for (i = 1; i <= tot; i++) { for (j = 0; j <= n; j++) { for (k = 1; k <= sum[i]; k++) { for (l = 0; l <= k; l++) { if (j + sum[i] - k - l >= 0) { f[i][j + sum[i] - k - l] = (f[i][j + sum[i] - k - l] + z * f[i - 1][j] * fac[sum[i]] % mod * c[sum[i] - 1][k - 1] % mod * c[j][l] % mod * c[sz + 1 - j][k - l]) % mod; } } } } sz += sum[i]; } printf("%d", f[tot][0]); return 0; }
#include <bits/stdc++.h> using namespace std; int gi() { int a; scanf("%d", &a); return a; } long long gli() { long long a; scanf("%I64d", &a); return a; } long long p[10000]; int isp[32000]; int l; unordered_map<int, int> m; long long c[304][304]; long long f[304]; long long dp[304][304]; int pw(long long a, int b) { if (b == 0) return 1; long long x = pw(a, b / 2); long long v = (x * x) % 1000000007; if (b % 2) return (v * a) % 1000000007; return v; } int red(int a) { for (int i = 0; i < l && a > 1; i++) { int v = p[i] * p[i]; while (a % v == 0) a /= v; } return a; } int main() { l = 1; p[0] = 2; memset(isp, -1, sizeof(isp)); for (int i = 3; i < 32000; i += 2) if (isp[i]) { p[l++] = i; for (int j = i * 3; j < 32000; j += 2 * i) isp[j] = 0; } f[0] = 1; for (int i = 0; i < 304; i++) { if (i) f[i] = (f[i - 1] * i) % 1000000007; for (int j = 0; j <= i; j++) { long long x = f[i]; x *= pw(f[j], 1000000007 - 2); x %= 1000000007; x *= pw(f[i - j], 1000000007 - 2); x %= 1000000007; c[i][j] = x; } } int n = gi(); unordered_map<int, int>::iterator it; for (int i = 0; i < n; i++) { int x = red(gi()); if ((it = m.find(x)) == m.end()) m[x] = 1; else it->second++; } l = 0; for (it = m.begin(); it != m.end(); it++) p[l++] = it->second; memset(dp, 0, sizeof(dp)); long long s = p[0]; dp[0][s - 1] = f[s]; for (int i = 1; i < l; i++) { long long pv = p[i]; for (int j = 0; j <= s - i; j++) if (dp[i - 1][j]) for (int np = 1; np <= pv; np++) { long long w = (((f[pv] * dp[i - 1][j]) % 1000000007) * c[pv - 1][np - 1]) % 1000000007; for (int kill = ((0) > (np - s - 1 + j) ? (0) : (np - s - 1 + j)); kill <= np && kill <= j; kill++) { dp[i][j - kill + pv - np] += (((w * c[j][kill]) % 1000000007) * c[s + 1 - j][np - kill]) % 1000000007; dp[i][j - kill + pv - np] %= 1000000007; } } s += pv; } printf("%d\n", (int)dp[l - 1][0]); return 0; }
#include <bits/stdc++.h> using namespace std; const long long MOD = 1e9 + 7; const int INF = 0x7f7f7f7f; const long long INFLL = 0x7f7f7f7f7f7f7f7f; vector<int> primes; void init() { bitset<40000> notprime; notprime[0] = notprime[1] = true; for (int i = 2; i < 200; i++) { if (notprime[i]) { for (int j = i * i; j < 40000; j += i) notprime[j] = true; } } for (int i = 0; i < 40000; i++) if (notprime[i] == false) primes.push_back(i); } int nonsquare(int n) { int ans = 1; int lim = sqrt(n); for (int i = 0; primes[i] <= lim; i++) { if (n % primes[i] == 0) { int count = 0; while (n % primes[i] == 0) { n /= primes[i]; count++; } if (count % 2 == 1) ans *= primes[i]; } } if (n > 1) { ans *= n; } return ans; } int main() { ios::sync_with_stdio(0); cin.tie(0); Easy_DP: init(); int n; cin >> n; int arr[n]; map<int, int> group; vector<int> count; for (int i = 0; i < n; i++) { cin >> arr[i]; int res = nonsquare(arr[i]); if (!group.count(res)) { group.insert(pair<int, int>(res, count.size())); count.push_back(1); } else { count[group[res]]++; } } sort(count.begin(), count.end(), greater<int>()); vector<int> num; vector<int> begin; int start = 0; for (int i = 0; i < count.size(); i++) { for (int j = 0; j < count[i]; j++) { begin.push_back(start); num.push_back(i); } start += count[i]; } long long dp[n + 2][n + 2][n + 2]; memset(dp, 0, sizeof(dp)); dp[1][0][0] = 1; for (int i = 1; i < n; i++) { if (num[i] != num[i - 1]) { for (int j = 0; j < i; j++) { for (int k = 1; k <= j; k++) { dp[i][j][0] += dp[i][j][k]; dp[i][j][k] = 0; } } } for (int j = 0; j < i; j++) { for (int k = 0; k <= j; k++) { dp[i + 1][j + 1][k + 1] = (dp[i + 1][j + 1][k + 1] + (dp[i][j][k] * (2 * (i - begin[i]) - k)) % MOD) % MOD; if (j > 0) dp[i + 1][j - 1][k] = (dp[i + 1][j - 1][k] + (dp[i][j][k] * (j - k)) % MOD) % MOD; dp[i + 1][j][k] = (dp[i + 1][j][k] + (dp[i][j][k] * (i + 1 - (2 * (i - begin[i]) - k + j - k))) % MOD) % MOD; } } } cout << dp[n][0][0] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = (int)(1e9) + 7; long long A[510]; long long C[510][510]; long long dp[310][500]; int n, nn; int seq[310]; int belong[310], a[310]; void pre() { A[0] = A[1] = 1; for (int i = 2; i < 500; ++i) { A[i] = A[i - 1] * i % mod; } for (int i = 0; i < 500; ++i) { C[0][i] = 1; for (int j = 1; j <= i; ++j) { C[j][i] = (C[j][i - 1] + C[j - 1][i - 1]) % mod; } } } int solve() { memset(dp, 0, sizeof(dp)); dp[1][seq[1] - 1] = 1; long long sum = seq[1]; for (int i = 2; i <= n; ++i) { for (int j = 0; j < sum; ++j) { for (int k = 1; k <= seq[i]; ++k) { for (int h = 0; h <= j && h <= k; ++h) { dp[i][j - h + seq[i] - k] += dp[i - 1][j] * C[h][j] % mod * C[k - h][sum + 1 - j] % mod * C[k - 1][seq[i] - 1] % mod; dp[i][j - h + seq[i] - k] %= mod; } } } sum += seq[i]; } long long ret = dp[n][0]; for (int i = 1; i <= nn; ++i) { ret = ret * A[seq[i]] % mod; } return ret; } bool ok(int i, int j) { long long p = (long long)a[i] * a[j]; long long q = sqrt(p); if (q * q == p) return 1; else return 0; } void getseq() { for (int i = 1; i <= n; ++i) { scanf("%d", &a[i]); } nn = 0; for (int i = 1; i <= n; ++i) { if (belong[i] == 0) { int num = 1; belong[i] = ++nn; for (int j = i + 1; j <= n; ++j) if (ok(i, j)) { belong[j] = nn; num++; } seq[nn] = num; } } n = nn; } int main() { pre(); scanf("%d", &n); getseq(); printf("%d\n", solve()); return 0; }
#include <bits/stdc++.h> using namespace std; inline void R(int &v) { static char ch; v = 0; bool p = 0; do { ch = getchar(); if (ch == '-') p = 1; } while (!isdigit(ch)); while (isdigit(ch)) { v = (v + (v << 2) << 1) + (ch ^ '0'); ch = getchar(); } if (p) v = -v; } int a[305]; inline int xiujian(int now) { int ret = 1, t = now, cnt = 0; for (int i = 2; i <= sqrt(now); ++i) { if (t % i == 0) { cnt = 0; while (t % i == 0) { t /= i; ++cnt; } if (cnt & 1) { ret *= cnt; } } } ret *= t; return ret; } int tot, cnt[305], n; const int mod = 1e9 + 7; int c[315][315], dp[315][315]; int qz[315]; bool vis[315]; inline long long mul(long long a, long long b) { return (a * b) % mod; } inline bool check(long long x) { long long l = 0, r = 1e9; while (l < r - 1) { long long m = (l + r) >> 1; if (m * m == x) return 1; if (m * m < x) l = m; else r = m; } return 0; } int main() { R(n); int x; for (int i = 1; i <= n; ++i) { R(a[i]); } for (int i = 1; i <= n; i++) { if (vis[i]) continue; tot++; for (int j = i; j <= n; j++) { if (check((long long)a[i] * a[j])) vis[j] = 1, cnt[tot]++; } } for (int i = 0; i < 305; ++i) { c[i][0] = c[i][i] = 1; } for (int i = 1; i < 305; ++i) { for (int j = 1; j < 305; ++j) { c[i][j] = (c[i - 1][j - 1] + c[i - 1][j]) % mod; } } int m = cnt[1] - 1; dp[1][m] = 1; for (int i = 2; i <= tot; m += cnt[i++]) { for (int j = 0; j <= m; ++j) { if (!dp[i - 1][j]) continue; for (int k = 0; k < cnt[i]; ++k) { for (int l = 0; l <= min(k + 1, j); ++l) { dp[i][j + cnt[i] - l - k - 1] = (dp[i][j + cnt[i] - l - k - 1] + mul(mul(mul(dp[i - 1][j], c[j][l]), c[m + 2 - j][k + 1 - l]), c[cnt[i] - 1][k])) % mod; } } } } int ans = dp[tot][0]; int pow1[305]; pow1[0] = 1; for (int i = 1; i <= 305; ++i) { pow1[i] = mul(pow1[i - 1], i); } for (int i = 1; i <= tot; ++i) { ans = mul(ans, pow1[cnt[i]]); } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; long long jc[500], inv[500]; long long fpow(long long di, long long top) { long long ret = 1; while (top) { if (top % 2) ret = ret * di % mod; di = di * di % mod, top /= 2; } return ret; } void init() { jc[0] = inv[0] = 1; for (long long i = 1; i <= 400; ++i) jc[i] = jc[i - 1] * i % mod; inv[400] = fpow(jc[400], mod - 2); for (long long i = 399; i >= 1; --i) inv[i] = inv[i + 1] * (i + 1) % mod; } long long C(long long k, long long fro) { if (k > fro) return 0; if (k == 0) return 1; long long ret = jc[fro] % mod * inv[fro - k] % mod; return ret * inv[k] % mod; } vector<long long> sth[500]; bool vis[500]; long long siz[500], cnt, n, num[500]; long long dp[510][510]; bool iss(long long a) { long long nw = sqrt(a); return 1ll * nw * nw == a; } long long tot[500]; signed main() { cin >> n; init(); for (long long i = 1; i <= n; ++i) cin >> num[i]; for (long long i = 1; i <= n; ++i) { if (!vis[i]) { sth[++cnt].push_back(num[i]), vis[i] = 1; for (long long j = 1; j <= n; ++j) { if (!vis[j] && iss(1ll * num[j] * num[i])) { sth[cnt].push_back(num[j]), vis[j] = 1; } } } } for (long long i = 1; i <= cnt; ++i) siz[i] = sth[i].size(); dp[0][0] = 1; long long tot = 0; for (long long i = 1; i <= n; ++i) { for (long long j = 0; j <= tot; ++j) { dp[i - 1][j] %= mod; if (dp[i - 1][j] == 0) continue; for (long long k = 1; k <= min(siz[i], tot + 1); ++k) { for (long long t = 0; t <= min(k, j); ++t) { long long ndel = 1ll * dp[i - 1][j] * C(k - 1, siz[i] - 1) % mod; ndel = ndel * C(t, j) % mod; ndel = ndel * C(k - t, tot + 1 - j) % mod; dp[i][j - t + siz[i] - k] += ndel; } } } tot += siz[i]; } long long ans = dp[cnt][0] % mod; for (long long i = 1; i <= cnt; ++i) ans = 1ll * ans * jc[siz[i]] % mod; if (ans < 0) cout << dp[cnt][0]; cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; const long long maxn = 510; long long fac[maxn]; long long dp[maxn][maxn]; long long c[maxn][maxn]; long long a[maxn], cnt[maxn]; bool vis[maxn]; long long n, sz; bool perfect_square(long long x) { long long l = 1, r = 1e9; long long now = l; while (l <= r) { long long mid = (l + r) >> 1; if (mid * mid <= x) { now = mid; l = mid + 1; } else r = mid - 1; } return now * now == x; } void get_comb() { c[0][0] = 1; fac[0] = 1; for (long long i = 1; i <= 300; i++) { c[i][0] = 1; for (long long j = 1; j <= i; j++) { c[i][j] = (c[i - 1][j] % mod + c[i - 1][j - 1] % mod) % mod; } } for (long long i = 1; i <= 300; i++) fac[i] = (fac[i - 1] * i) % mod; } void slove() { dp[0][cnt[0] - 1] = 1; long long lim = cnt[0]; for (long long i = 1; i < sz; i++) { for (long long j = 0; j < lim; j++) { for (long long k = 0; k < cnt[i]; k++) { for (long long m = 0; m <= min(j, k + 1); m++) { long long ways = c[cnt[i] - 1][k] % mod * c[j][m] % mod * c[lim - 1 - j + 2][k + 1 - m] % mod; dp[i][j + cnt[i] - 1 - k - m] = (dp[i][j + cnt[i] - 1 - k - m] + dp[i - 1][j] * ways % mod) % mod; } } } lim += cnt[i]; } long long ans = dp[sz - 1][0]; for (long long i = 0; i < sz; i++) { ans *= fac[cnt[i]]; ans %= mod; } cout << ans << endl; } int main() { scanf("%I64d", &n); for (long long i = 0; i < n; i++) scanf("%I64d", &a[i]); for (long long i = 0; i < n; i++) { if (vis[i] == 0) { for (long long j = i; j < n; j++) { if (perfect_square(1LL * a[i] * a[j])) { cnt[sz]++; vis[j] = 1; } } sz++; } } get_comb(); slove(); return 0; }
#include <bits/stdc++.h> using namespace std; int n; vector<int> ct; map<int, int> cnt; long long F[777], IF[777]; inline long long mod_pow(long long a, long long b) { if (b == 0) return 1; long long tmp = mod_pow(a, b / 2); tmp = (tmp * tmp) % 1000000007; if (b & 1) return (tmp * a) % 1000000007; return tmp; } void init() { F[0] = 1; for (int i = 1; i < 777; i++) F[i] = (i * F[i - 1]) % 1000000007; IF[0] = 1; IF[777 - 1] = mod_pow(F[777 - 1], 1000000007 - 2); for (int i = 777 - 2; i > 0; i--) IF[i] = ((i + 1) * IF[i + 1]) % 1000000007; } inline long long C(long long n, long long k) { return (((F[n] * IF[k]) % 1000000007) * IF[n - k]) % 1000000007; } long long solve() { long long F1 = ct[0]; vector<long long> dp(F1, 0); dp[F1 - 1] = F[F1]; for (int i = 1; i < n; i++) { long long Fi = ct[i]; vector<long long> next(dp.size() + Fi, 0); for (int j = 0; j < (int)dp.size(); j++) { if (dp[j] == 0) continue; for (int k = 1; k <= min(Fi, (long long)dp.size() + 1); k++) { for (int l = 0; l <= min(k, j); l++) { long long exist = dp.size() + 1 - j; long long need = k - l; if (need > exist) continue; long long foo = (F[Fi] * ((((C(exist, need) * C(j, l)) % 1000000007) * C(Fi - 1, k - 1)) % 1000000007)) % 1000000007; next[j - l + Fi - k] = (next[j - l + Fi - k] + (foo * dp[j]) % 1000000007) % 1000000007; } } } dp = next; } return dp[0]; } inline int get(int x) { for (int i = 2; i * i <= x; i++) { while (x % (i * i) == 0) x /= (i * i); } return x; } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); init(); int x; cin >> n; for (int i = 0; i < n; i++) { cin >> x; x = get(x); cnt[x]++; } for (auto elem : cnt) ct.push_back(elem.second); cnt.clear(); n = ct.size(); cout << solve() << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 310; const int oo = 1000000000; const int modulo = 1000000007; const double ms = 1e-10; int root[maxn], cnt[maxn], space[maxn]; long long a[maxn], c[maxn][maxn], f[maxn][maxn]; int n, t; void input() { cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; } int getroot(int x) { if (root[x] == x) return x; root[x] = getroot(root[x]); return root[x]; } void init() { for (int i = 0; i < n; i++) root[i] = i; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) if (sqrt(a[i] * a[j]) - (long long)sqrt(a[i] * a[j]) < ms && getroot(i) != getroot(j)) { root[getroot(i)] = getroot(j); } for (int i = 0; i < n; i++) cnt[getroot(i) + 1]++; c[0][0] = 1; for (int i = 1; i <= n; i++) c[0][i] = 1; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) c[i][j] = (c[i - 1][j - 1] + c[i][j - 1]) % modulo; for (int i = 1; i <= n; i++) if (cnt[i] > 0) { t++; cnt[t] = cnt[i]; } for (int i = 1; i <= t; i++) cnt[i] += cnt[i - 1]; } void solve() { f[0][0] = 1; for (int i = 0; i < t; i++) for (int j = 0; j <= n - 1; j++) { for (int x = 0; x <= min(j, cnt[i + 1] - cnt[i]); x++) for (int y = 0; y <= min(cnt[i] - j + 1, cnt[i + 1] - cnt[i] - x); y++) if (x + y > 0) { int tg = (j - x) + (cnt[i + 1] - cnt[i] - x - y); f[i + 1][tg] = (f[i + 1][tg] + (c[x][j] * c[y][cnt[i] - j + 1] % modulo) * (c[x + y - 1][cnt[i + 1] - cnt[i] - 1] * f[i][j] % modulo)) % modulo; } } } long long get(int x) { long long re = 1; for (int i = 1; i <= x; i++) re = (re * i) % modulo; return re; } void output() { long long tmp = 1; for (int i = 1; i <= t; i++) tmp = tmp * get(cnt[i] - cnt[i - 1]) % modulo; printf("%d", (f[t][0] * tmp) % modulo); } int main() { std::ios::sync_with_stdio(false); input(); init(); solve(); output(); return (0); }
#include <bits/stdc++.h> using namespace std; inline void R(int &v) { static char ch; v = 0; bool p = 0; do { ch = getchar(); if (ch == '-') p = 1; } while (!isdigit(ch)); while (isdigit(ch)) { v = (v + (v << 2) << 1) + (ch ^ '0'); ch = getchar(); } if (p) v = -v; } int a[305]; inline int xiujian(int now) { int ret = 1, t = now, cnt = 0; for (int i = 2; i <= sqrt(now); ++i) { if (t % i == 0) { cnt = 0; while (t % i == 0) { t /= i; ++cnt; } if (cnt & 1) { ret *= cnt; } } } ret *= t; return ret; } int tot, cnt[305], n; const int mod = 1e9 + 7; int c[315][315], dp[315][315]; int qz[315]; bool vis[315]; inline long long mul(long long a, long long b) { return (a * b) % mod; } inline bool check(long long x) { long long l = 1, r = 1e9; while (l <= r) { long long m = (l + r) >> 1; if (m * m == x) return 1; if (m * m < x) l = m + 1; else r = m - 1; } return 0; } int main() { R(n); int x; for (int i = 1; i <= n; ++i) { R(a[i]); } for (int i = 1; i <= n; i++) { if (vis[i]) continue; tot++; for (int j = i; j <= n; j++) { if (check((long long)a[i] * a[j])) vis[j] = 1, cnt[tot]++; } } for (int i = 0; i < 305; ++i) { c[i][0] = c[i][i] = 1; } for (int i = 1; i < 305; ++i) { for (int j = 1; j < 305; ++j) { c[i][j] = (c[i - 1][j - 1] + c[i - 1][j]) % mod; } } int m = cnt[1] - 1; dp[1][m] = 1; for (int i = 2; i <= tot; m += cnt[i++]) { for (int j = 0; j <= m; ++j) { if (!dp[i - 1][j]) continue; for (int k = 0; k < cnt[i]; ++k) { for (int l = 0; l <= min(k + 1, j); ++l) { dp[i][j + cnt[i] - l - k - 1] = (dp[i][j + cnt[i] - l - k - 1] + mul(mul(mul(dp[i - 1][j], c[j][l]), c[m + 2 - j][k + 1 - l]), c[cnt[i] - 1][k])) % mod; } } } } int ans = dp[tot][0]; int pow1[305]; pow1[0] = 1; for (int i = 1; i <= 305; ++i) { pow1[i] = mul(pow1[i - 1], i); } for (int i = 1; i <= tot; ++i) { ans = mul(ans, pow1[cnt[i]]); } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; const int N = 300; const long long INF = 1000000000LL; const long long MOD = 1000000007LL; int arr[N + 1]; long long binom[N + 1][N + 1]; long long facto[N + 1]; int cnt[N + 1]; long long dp[N], tmp[N]; long long modadd(long long, long long); long long modmul(long long, long long); long long modmul(initializer_list<long long>); bool is_perfect(long long); int main() { binom[0][0] = facto[0] = 1LL; for (int i = 1; i <= N; ++i) { binom[i][0] = binom[i][i] = 1LL; for (int j = 1; j <= N - 1; ++j) { binom[i][j] = modadd(binom[i - 1][j - 1], binom[i - 1][j]); } facto[i] = modmul(facto[i - 1], i); } int n; scanf("%d", &n); for (int i = 1; i <= n; ++i) { scanf("%d", &arr[i]); } for (int i = 1; i <= n; ++i) { int j; for (j = 1; j <= i && !is_perfect(1LL * arr[i] * arr[j]); ++j) ; ++cnt[j]; } dp[cnt[1] - 1] = facto[cnt[1]]; int holes = cnt[1] + 1; for (int i = 2; i <= n; ++i) { if (!cnt[i]) continue; for (int j = 0; j <= holes - 2; ++j) { if (!dp[j]) continue; for (int k = 1; k <= min(cnt[i], holes); ++k) { for (int l = k - min(holes - j, k); l <= min(j, k); ++l) { int nextj = j - l + (cnt[i] - k); tmp[nextj] = modadd( tmp[nextj], modmul({dp[j], facto[cnt[i]], binom[cnt[i] - 1][cnt[i] - k], binom[j][l], binom[holes - j][k - l]})); } } } holes += cnt[i]; copy(tmp, tmp + n, dp); fill(tmp, tmp + n, 0); } printf("%lld\n", dp[0]); exit(EXIT_SUCCESS); } long long modadd(long long a, long long b) { return (a + b) % MOD; } long long modmul(long long a, long long b) { return (a * b) % MOD; } long long modmul(initializer_list<long long> arr) { long long ret = 1LL; for (auto x : arr) { ret = modmul(ret, x); } return ret; } bool is_perfect(long long x) { long long left, right; for (left = 1LL, right = min(x, INF); left < right;) { long long mid = (left + right + 1LL) / 2LL; if (mid * mid > x) { right = mid - 1; } else { left = mid; } } return left * left == x; }