Submission #1001281

#TimeUsernameProblemLanguageResultExecution timeMemory
1001281LonlyRTourism (JOI23_tourism)C++17
0 / 100
5067 ms50088 KiB
#include<bits/stdc++.h> #define all(x) x.begin(), x.end() #define ii pair<int,int> #define ff first #define ss second using namespace std; const int maxn = 1e5 + 5, bl = sqrt(maxn); int n, m, q, cnt, cur; int in[maxn], out[maxn], h[maxn], par[18][maxn], id[maxn], c[maxn], ans[maxn], in_set[maxn]; vector<int> adj[maxn], euler = {0}; struct cmp { bool operator() (int x, int y) const { return in[x] < in[y]; } }; set<int, cmp> s; struct Q{ int l, r, id; bool operator < (Q b) const { if (l / bl != b.l / bl) return l < b.l; return (l / bl & 1) ? (r < b.r) : (r > b.r); } } qr[maxn]; void dfs(int x = 1, int p = 1) { h[x] = h[p] + 1; in[x] = ++cnt; id[x] = euler.size(); euler.emplace_back(x); for (int i : adj[x]) if (i != p) dfs(i, x), euler.emplace_back(x); out[x] = cnt; } vector<vector<ii>> st; vector<int> lg = {0}; void build() { int sz = euler.size(); int LG = (int)__lg(sz) + 1; lg = vector<int>(sz, 0); for (int i = 1; i < sz; i++) lg[i] = lg[i - 1] / 2; st = vector<vector<ii>>(LG, vector<ii>(sz, {sz, 0})); for (int i = 1; i < sz; i++) st[0][i] = {h[euler[i]], euler[i]}; for (int j = 1; j < LG; j++) for (int i = 1; i + (1 << j) - 1 < sz; i++) st[j][i] = min(st[j - 1][i], st[j - 1][i + (1 << (j - 1))]); } int lca(int l, int r) { l = id[l]; r = id[r]; if (l > r) swap(l, r); int k = lg[r - l + 1]; return min(st[k][l], st[k][r - (1 << k) + 1]).ss; } void add(int x) { x = c[x]; in_set[x]++; if (in_set[x] == 1) { cur += h[x]; if (s.size() == 0) return s.emplace(x), void(); auto it = s.lower_bound(x); if (it == s.begin()) cur -= h[lca(x, *it)]; else if (it == s.end()) cur -= h[lca(x, *prev(it))]; else { auto u = *it, v = *prev(it); cur += h[lca(u, v)]; cur -= h[lca(u, x)]; cur -= h[lca(v, x)]; } } s.emplace(x); } void del(int x) { x = c[x]; in_set[x]--; if (in_set[x] == 0) { cur -= h[x]; if (s.size() == 1) return s.clear(), void(); auto it = s.lower_bound(x); if (it == s.begin()) cur += h[lca(x, *next(it))]; else if (next(it) == s.end()) cur += h[lca(x, *prev(it))]; else { auto u = *prev(it), v = *next(it); cur -= h[lca(u, v)]; cur += h[lca(u, x)]; cur += h[lca(v, x)]; } s.erase(it); } } signed main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); // freopen("test.inp", "r", stdin); // freopen("test.out", "w", stdout); cin >> n >> m >> q; for (int i = 1, u, v; i < n; i++) cin >> u >> v, adj[u].emplace_back(v), adj[v].emplace_back(u); for (int i = 1; i <= m; i++) cin >> c[i]; dfs(); build(); for (int i = 1; i <= q; i++) cin >> qr[i].l >> qr[i].r, qr[i].id = i; sort(qr + 1, qr + q + 1); for (int i = 1, l = 1, r = 0; i <= q; i++) { auto [lx, rx, id] = qr[i]; while (r < rx) add(++r); while (l > lx) add(--l); while (r > rx) del(r--); while (l < lx) del(l++); ans[id] = cur - h[lca(*s.begin(), *s.rbegin())] + 1; } for (int i = 1; i <= q; i++) cout << ans[i] << "\n"; }
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