122 lines
3.5 KiB
C++
122 lines
3.5 KiB
C++
#include<bits/stdc++.h>
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const int mod = 201314;
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using namespace std;
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int n, m;
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vector<int> chi[50005];
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int fa[50005];
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int cnt[50005];
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int son[50005];
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int top[50005];
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int dep[50005];
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int dfn[50005];
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int nowdfn;
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pair<int, int> query[100005];
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struct SEG{
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int num[400005], lt[400005];
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void pu(int now) {num[now] = (1ll * num[now * 2] + num[now * 2 + 1]) % mod;}
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void pd(int now, int nl, int nr) {
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int nmid = (nl + nr) >> 1;
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num[now * 2] = (num[now * 2] + 1ll * (nmid - nl + 1) * lt[now]) % mod;
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num[now * 2 + 1] = (num[now * 2 + 1] + 1ll * (nr - nmid) * lt[now]) % mod;
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lt[now * 2] = (lt[now * 2] + lt[now]) % mod;
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lt[now * 2 + 1] = (lt[now * 2 + 1] + lt[now]) % mod;
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lt[now] = 0;
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}
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void add(int now, int nl, int nr, int l, int r, int nn) {
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if(nl > r || nr < l) return;
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if(l <= nl && nr <= r) {
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num[now] = (num[now] + 1ll * (nr - nl + 1) * nn) % mod;
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lt[now] = (lt[now] + 1ll * nn) % mod;
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return;
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}
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int nmid = (nl + nr) >> 1;
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pd(now, nl, nr);
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add(now * 2, nl, nmid, l, r, nn);
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add(now * 2 + 1, nmid + 1, nr, l, r, nn);
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pu(now);
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}
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int query(int now, int nl, int nr, int l, int r) {
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if(nl > r || nr < l) return 0;
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if(l <= nl && nr <= r) {
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return num[now];
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}
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int nmid = (nl + nr) >> 1;
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pd(now, nl, nr);
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return (1ll * query(now * 2, nl, nmid, l, r) + query(now * 2 + 1, nmid + 1, nr, l, r)) % mod;
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}
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}seg;
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void dfs1(int now) {
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cnt[now] = 1;
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for(int i : chi[now]) {
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dep[i] = dep[now] + 1;
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dfs1(i);
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cnt[now] += cnt[i];
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if(cnt[son[now]] < cnt[i]) son[now] = i;
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}
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}
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void dfs2(int now, int from) {
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top[now] = from;
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dfn[now] = ++nowdfn;
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if(son[now]) dfs2(son[now], from);
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for(int i : chi[now]) {
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if(i == son[now]) continue;
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dfs2(i, i);
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}
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}
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void addpath(int a, int b = 1) {
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while(top[a] != top[b]) {
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if(dep[top[a]] < dep[top[b]]) swap(a, b);
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seg.add(1, 1, n, dfn[top[a]], dfn[a], 1);
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a = fa[top[a]];
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}
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if(dep[a] < dep[b]) swap(a, b);
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seg.add(1, 1, n, dfn[b], dfn[a], 1);
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}
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int querypath(int a, int b = 1) {
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int ans = 0;
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while(top[a] != top[b]) {
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if(dep[top[a]] < dep[top[b]]) swap(a, b);
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ans = (ans + 1ll * seg.query(1, 1, n, dfn[top[a]], dfn[a])) % mod;
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a = fa[top[a]];
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}
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if(dep[a] < dep[b]) swap(a, b);
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return (ans + 1ll * seg.query(1, 1, n, dfn[b], dfn[a])) % mod;
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}
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int sx[100005];
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int ans[100005];
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int main() {
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scanf("%d%d", &n, &m);
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for(int i = 2; i <= n; ++i) {
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scanf("%d", &fa[i]);
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fa[i]++;
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chi[fa[i]].push_back(i);
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}
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dfs1(1);
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dfs2(1, 1);
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for(int i = 1, l, r, z; i <= m; ++i) {
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scanf("%d%d%d", &l, &r, &z);
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l++, r++, z++;
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sx[i] = i;
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sx[i + m] = i + m;
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query[2 * i - 1] = {l - 1, z};
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query[2 * i] = {r, z};
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}
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sort(sx + 1, sx + 2 * m + 1, [](int x, int y){return query[x] < query[y];});
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int cur = 0;
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for(int i = 1; i <= 2 * m; ++i) {
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int u = query[sx[i]].first;
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int w = query[sx[i]].second;
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while(cur < u) {
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++cur;
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addpath(cur);
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}
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ans[sx[i]] = querypath(w);
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}
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for(int i = 1; i <= m; ++i) {
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printf("%d\n", (ans[2 * i] - ans[2 * i - 1] + mod) % mod);
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}
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return 0;
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}
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/*
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从根到 [l, r] 中每个点的路径上的点均 + 1,最否求 z 到根的路径权值和
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*/ |