제출 #1179923

#제출 시각아이디문제언어결과실행 시간메모리
1179923ByeWorldMagic Tree (CEOI19_magictree)C++20
20 / 100
177 ms22652 KiB
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
#define int long long
#define ll long long
#define pb push_back
#define fi first
#define se second
#define lf (id<<1)
#define rg ((id<<1)|1)
#define md ((l+r)>>1)
#define ld long double
using namespace std;
typedef pair<int,int> pii;
typedef pair<int,pii> ipii;
const int MAXN = 1e5+10;
const int MAXA = 1e9;
const int INF = 2e9+100;
const int SQRT = 500;
const int LOG = 19;
const int MOD = 998244353;
void chmn(auto &a, auto b){ a = min(a, b); }
void chmx(auto &a, auto b){ a = max(a, b); }
int sum(int a, int b){ a %= MOD; b %= MOD; return (a+b)%MOD; }
void chsum(int &a, int b){ a %= MOD; b %= MOD; a = (a+b)%MOD; }
void chsub(int &a, int b){ a %= MOD; b %= MOD; a = (a+MOD-b)%MOD; }
int mul(int a, int b){ a %= MOD; b %= MOD; return a*b%MOD;}
void chmul(int &a, int b){ a = a*b%MOD; }
int expo(int a, int b){
	if(b==0) return 1;
	int te = expo(a, b/2); te = mul(te, te);
	return (b%2 ? mul(te, a) : te);
}

int n, m, k, par[MAXN], d[MAXN], w[MAXN];
vector<int> adj[MAXN]; // from root decreasing days
int opt[MAXN];

void UPD(int nw, int val){
	if(nw==0) return;
	chmx(opt[nw], val);
	UPD(par[nw], val);
}
int ANS = 0;
void sol(int nw){
	int tot = 0;
	for(auto nx : adj[nw]){
		sol(nx); tot += opt[nx];
	}
	chmx(opt[nw], tot);
	chmx(ANS, opt[nw]);
}
struct seg {
	int st[4*MAXN], laz[4*MAXN];
	void bd(int id, int l, int r){
		laz[id] = -1;
		if(l==r) return;
		bd(lf,l,md); bd(rg,md+1,r);
	}
	void bnc(int id, int l, int r){
		if(laz[id]==-1) return;
		chmx(st[lf], laz[id]); chmx(laz[lf], laz[id]);
		chmx(st[rg], laz[id]); chmx(laz[rg], laz[id]);
		laz[id] = -1;
	}
	int que(int id, int l, int r, int x, int y){
		if(x<=l && r<=y) return st[id];
		if(r<x || y<l) return -1;
		bnc(id,l,r);
		return max(que(lf,l,md,x,y), que(rg,md+1,r,x,y));
	}
	int upd(int id, int l, int r, int x, int y,int p){
		if(x<=l && r<=y){
			chmx(laz[id], p);
			chmx(st[id], p);
			return st[id];
		}
		if(r<x || y<l) return st[id];
		bnc(id,l,r);
		return st[id] = max(upd(lf,l,md,x,y,p), upd(rg,md+1,r,x,y,p));
	}
} A;
int sub[MAXN], in[MAXN], out[MAXN], tim, root[MAXN];
void bd(int nw){
	sub[nw] = 1;
	for(auto nx : adj[nw]){
		bd(nx);
		sub[nw] += sub[nx];
	}
}
void dfs(int nw, int roo){
	root[nw] = roo;
	in[nw] = ++tim;
	if(adj[nw].size()){
		dfs(adj[nw][0], roo);
		for(int j=1; j<adj[nw].size(); j++)
			dfs(adj[nw][j], adj[nw][j]);
	}
	out[nw] = tim;
}
void UP(int nw, int val){
	if(nw==0) return;
	A.upd(1,1,n,in[root[nw]],in[nw],val);
	UP(par[root[nw]], val);
}
signed main(){
	// ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	cin>>n>>m>>k;
	for(int i=2; i<=n; i++){
		cin>>par[i]; adj[par[i]].pb(i);
	}
	vector<pii> vec;
	for(int i=1; i<=m; i++){
		int id, day, wei; cin>>id>>day>>wei;
		vec.pb({day, id});
		d[id] = day; w[id] = wei;
	}
	sort(vec.begin(), vec.end()); // inc day

	bd(1);
	for(int i=1; i<=n; i++){
		for(int j=1; j<adj[i].size(); j++)
			if(sub[adj[i][j]] > sub[adj[i][0]])
				swap(adj[i][j], adj[i][0]);
	}
	dfs(1, 1);
	A.bd(1,1,n);

	for(int i=0; i<vec.size(); ){
		int j = vec[i].fi; 
		vector<int>upd;
		while(i<vec.size() && vec[i].fi==j){
			upd.pb(vec[i].se);
			i++;
		}
		sort(upd.rbegin(), upd.rend()); // bawah ke atas
		for(auto id : upd){
			int val = 0;
			for(auto nx : adj[id]) 
				val += A.que(1,1,n,in[nx],out[nx]);
			val += w[id]; 
			// cout << val << ' ' << id <<" val\n";
			UP(id, val);
		}
	}
	for(int i=1; i<=n; i++)
		opt[i] = A.que(1,1,n,in[i],in[i]);
	// for(int i=1; i<=n; i++) cout << i << ' ' <<opt[i] << " opt\n";
	sol(1);
	cout << ANS << '\n';
}
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