Submission #752157

#	Time	Username	Problem	Language	Result	Execution time	Memory
752157		Dan4Life	Construction of Highway (JOI18_construction)	C++17	100 / 100	1450 ms	106380 KiB

construction

#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define all(a) begin(a),end(a)
const int N = (int)1e5+2;
using ll = long long;
using ar = array<int,2>;
vector<int> adj[N];
deque<ar> ch[N], edge;
int n, c[N], h[N], sz[N], p[N], dep[N], fen[N];

void upd(int x, int v){	for(; x<N; x+=x&-x) fen[x]+=v; }
int sum(int x){	int s=0; for(; x; x-=x&-x) s+=fen[x]; return s; }

int dfsSz(int s){
	for(auto &u : adj[s]){
		int x = adj[s][0];
		dep[u] = dep[s]+1, sz[s]+=dfsSz(u);
		if(sz[x]<sz[u]) swap(adj[s][0],u);
	}
	return (sz[s]+=1);
}

void Hld(int s, int head){
	h[s] = head;
	for(auto u : adj[s]) 
		Hld(u,u==adj[s][0]?head:u);
}

ll calc(int a){
	deque<ar> v, tv; v.clear(); ll ans = 0;
	while(a!=-1){
		int H = h[a], siz = dep[a]-dep[h[a]]+1; tv.clear();
		for(auto [x,cnt] : ch[H]){
			tv.push_front({x,min(cnt,siz)});
            siz-=min(cnt,siz); if(!siz) break;
		}
		a = p[H]; for(auto u : tv) v.pb(u); 
	}
	for(int i = 1; i <= n; i++) fen[i]=0;
	for(auto [x,y] : v) ans+=(ll)y*sum(x-1), upd(x,y);
	return ans;
}

void add(int b, int v){
	while(b!=-1){
		int H = h[b], siz = dep[b]-dep[h[b]]+1; int tsz = siz;
		while(!ch[H].empty() and siz){
			int cnt = ch[H].front()[1];
			if(cnt<=siz) ch[H].pop_front(), siz-=cnt;
			else ch[H].front()[1]-=siz, siz=0;
		}
		ch[H].push_front({v,tsz}); b = p[H];
	}
}

int main() {
	ios_base::sync_with_stdio(false); cin.tie();
	cin >> n; vector<int> v; int a, b; p[1]=-1;
	for(int i = 1; i <= n; i++) cin >> c[i], v.pb(c[i]);
	sort(all(v)), v.erase(unique(all(v)),end(v));
	for(int i = 1; i <= n; i++) 
		c[i] = lower_bound(all(v),c[i])-begin(v)+1;
	for(int i = 1; i < n; i++) 
		cin >> a >> b, adj[a].pb(b), p[b]=a, edge.pb({a,b});
	ch[1].pb({c[1],1}); dfsSz(1); Hld(1,1); 
	for(auto [a,b] : edge) cout << calc(a) << "\n", add(b,c[b]);
}

• Subtask 1: 7 / 7
• Subtask 2: 9 / 9
• Subtask 3: 84 / 84