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P2146 [NOI2015] 软件包管理器
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Luogu/P2146/P2146.cpp
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152
Luogu/P2146/P2146.cpp
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#include <bits/stdc++.h>
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using std::cin;
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using std::cout;
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using std::endl;
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const int N = 100005;
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int n, q, a, x;
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std::string op;
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std::vector<int> g[N];
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// Heavy Path Decomposition
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int cnt, id[N], fa[N], dep[N], son[N], siz[N], top[N];
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void dfs1(int, int);
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void dfs2(int, int);
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void modify_path(int, int, int);
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void modify_tree(int, int);
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// Segment Tree
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void pushup(int);
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void pushdown(int);
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void build(int, int, int);
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void modify(int, int, int, int);
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int query(int, int, int);
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int main() {
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cin >> n;
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for (int i = 2; i <= n; i++) {
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cin >> x;
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x++;
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g[x].push_back(i);
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g[i].push_back(x);
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}
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dfs1(1, 1);
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dfs2(1, 1);
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build(1, 1, n);
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cin >> q;
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while (q--) {
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cin >> op >> x;
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x++;
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int before = query(1, 1, n);
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if (op == "install") {
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if (!query(1, id[x], id[x])) {
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modify_path(1, x, 1);
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}
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} else {
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if (query(1, id[x], id[x])) {
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modify_tree(x, 0);
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}
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}
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int after = query(1, 1, n);
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cout << std::abs(before - after) << endl;
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}
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return 0;
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}
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// === Heavy Path Decomposition ===
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void dfs1(int u, int f) {
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dep[u] = dep[f] + 1;
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fa[u] = f;
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siz[u] = 1;
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for (int v : g[u]) {
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if (v == f) continue;
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dfs1(v, u);
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siz[u] += siz[v];
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if (siz[son[u]] < siz[v]) son[u] = v;
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}
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}
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void dfs2(int u, int t) {
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id[u] = ++cnt;
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top[u] = t;
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if (!son[u]) return;
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dfs2(son[u], t);
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for (int v : g[u]) {
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if (v == fa[u]) continue;
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if (v == son[u]) continue;
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dfs2(v, v);
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}
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}
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void modify_path(int u, int v, int d) {
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while (top[u] != top[v]) {
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if (dep[top[u]] < dep[top[v]]) std::swap(u, v);
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modify(1, id[top[u]], id[u], d);
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u = fa[top[u]];
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}
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if (dep[u] < dep[v]) std::swap(u, v);
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modify(1, id[v], id[u], d);
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}
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void modify_tree(int u, int d) {
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modify(1, id[u], id[u] + siz[u] - 1, d);
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}
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// === Segment Tree ===
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struct node {
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int l, r, s, d;
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node()
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: l(0), r(0), s(0), d(-1) {}
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node(int _l, int _r)
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: l(_l), r(_r), s(0), d(-1) {}
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} tr[N << 2];
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inline void pushup(int u) {
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tr[u].s = tr[u << 1].s + tr[u << 1 | 1].s;
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}
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inline void pushdown(int u) {
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auto &root = tr[u], &left = tr[u << 1], &right = tr[u << 1 | 1];
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if (root.d == -1) return;
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left.s = (left.r - left.l + 1) * root.d;
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left.d = root.d;
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right.s = (right.r - right.l + 1) * root.d;
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right.d = root.d;
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root.d = -1;
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}
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void build(int u, int l, int r) {
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tr[u] = node(l, r);
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if (l == r) return;
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int mid = l + r >> 1;
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build(u << 1, l, mid);
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build(u << 1 | 1, mid + 1, r);
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}
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void modify(int u, int l, int r, int d) {
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if (l <= tr[u].l && tr[u].r <= r) {
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tr[u].s = (tr[u].r - tr[u].l + 1) * d;
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tr[u].d = d;
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return;
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}
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int mid = tr[u].l + tr[u].r >> 1;
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pushdown(u);
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if (l <= mid) modify(u << 1, l, r, d);
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if (r > mid) modify(u << 1 | 1, l, r, d);
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pushup(u);
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}
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int query(int u, int l, int r) {
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if (l <= tr[u].l && tr[u].r <= r) return tr[u].s;
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int mid = tr[u].l + tr[u].r >> 1;
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int sum = 0;
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pushdown(u);
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if (l <= mid) sum += query(u << 1, l, r);
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if (r > mid) sum += query(u << 1 | 1, l, r);
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return sum;
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}
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