mirror of
https://git.sb/baoshuo/OI-codes.git
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195 lines
3.6 KiB
C++
195 lines
3.6 KiB
C++
#include <iostream>
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#include <algorithm>
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#include <functional>
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#include <iterator>
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#include <tuple>
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#include <utility>
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#include <vector>
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const int N = 5e4 + 5;
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const int mod = 201314;
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using std::cin;
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using std::cout;
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const char endl = '\n';
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int n, q, now, ans[N];
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int cnt, id[N], fa[N], dep[N], siz[N], top[N], son[N];
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std::vector<int> g[N];
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std::vector<std::tuple<int, int, int, int>> qs;
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struct node {
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int l, r, s, d;
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node(const int &_l = 0, const int &_r = 0)
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: l(_l), r(_r), s(0), d(0) {}
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} tr[N << 2];
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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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void pushdown(int u) {
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if (!tr[u].d) return;
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tr[u << 1].s += (tr[u << 1].r - tr[u << 1].l + 1) * tr[u].d;
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tr[u << 1].d += tr[u].d;
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tr[u << 1 | 1].s += (tr[u << 1 | 1].r - tr[u << 1 | 1].l + 1) * tr[u].d;
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tr[u << 1 | 1].d += tr[u].d;
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tr[u].d = 0;
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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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pushup(u);
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}
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void modify(int u, int l, int r, int x) {
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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) * x;
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tr[u].d += x;
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return;
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}
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pushdown(u);
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int mid = (tr[u].l + tr[u].r) >> 1;
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if (l <= mid) modify(u << 1, l, r, x);
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if (r > mid) modify(u << 1 | 1, l, r, x);
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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) {
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return tr[u].s;
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}
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pushdown(u);
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int mid = (tr[u].l + tr[u].r) >> 1;
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int res = 0;
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if (l <= mid) res += query(u << 1, l, r);
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if (r > mid) res += query(u << 1 | 1, l, r);
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return res;
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}
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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]) dfs2(son[u], t);
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for (int v : g[u]) {
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if (v == fa[u] || 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 x) {
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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], x);
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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], x);
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}
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int query_path(int u, int v) {
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int res = 0;
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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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res += query(1, id[top[u]], id[u]);
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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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res += query(1, id[v], id[u]);
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return res;
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> q;
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for (int i = 2, x; i <= n; i++) {
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cin >> x;
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x++;
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g[i].emplace_back(x);
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g[x].emplace_back(i);
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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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for (int i = 1, l, r, z; i <= q; i++) {
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cin >> l >> r >> z;
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l++, r++, z++;
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qs.emplace_back(i, l - 1, z, -1);
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qs.emplace_back(i, r, z, 1);
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}
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std::sort(qs.begin(), qs.end(), [&](const decltype(qs)::value_type &lhs, const decltype(qs)::value_type &rhs) -> bool {
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return std::get<1>(lhs) < std::get<1>(rhs);
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});
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for (auto o : qs) {
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int id, pos, z, k;
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std::tie(id, pos, z, k) = o;
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while (now < pos) modify_path(1, ++now, 1);
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ans[id] = ((ans[id] + k * query_path(1, z)) % mod + mod) % mod;
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}
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std::copy_n(ans + 1, q, std::ostream_iterator<int>(cout, "\n"));
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return 0;
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}
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