제출 #559325

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
559325		LastRonin	Road Closures (APIO21_roads)	C++14	100 / 100	649 ms	66936 KiB

roads

//#include "roads.h"

#include <bits/stdc++.h>

#define speed ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0) 
#define ll long long
#define pii pair<ll, ll>
#define f first
#define s second
#define mp make_pair
#define pinode pair<node*, node*>
#define pb push_back
 
using namespace std;
 
const int N = 3e5 + 10;

mt19937 bruh(chrono::steady_clock::now().time_since_epoch().count());



struct node {
	node *l = nullptr, *r = nullptr;
	ll sz = 1, y = 0, sum = 0, x = 0;
	node(ll nx) {
		x = nx;
		sz = 1;
		l = r = nullptr;
		y = bruh();
		sum = nx;
	}
} *rt[N];

void pull(node *a) {
	if(!a)return;
	a->sum = a->x;
	a->sz = 1;
	if(a->l)a->sum += a->l->sum, a->sz += a->l->sz;
	if(a->r)a->sum += a->r->sum, a->sz += a->r->sz;
}

node *mrg(node *a, node *b) {
	if(!a || !b)
		return (a ? a : b);
	if(a->y > b->y) {
		a->r = mrg(a->r, b);
		pull(a);
		return a;
	}
	b->l = mrg(a, b->l);
	pull(b);
	return b;
}

pinode splitSz(node *a, ll F) {
	if(!a) 
		return mp(nullptr, nullptr);
	if((a->l ? a->l->sz : 0) >= F) {
		pinode z = splitSz(a->l, F);
		a->l = z.s;
		pull(a);
		return mp(z.f, a);					
	}
	else {
		ll dlt = F - (a->l ? a->l->sz + 1 : 1);
		pinode z = splitSz(a->r, dlt);
		a->r = z.f;
		pull(a);
		return mp(a, z.s);
	}
}

pinode splitX(node *a, ll x) {
	if(!a) 
		return mp(nullptr, nullptr);
	if(a->x <= x) {
		pinode z = splitX(a->r, x);
		a->r = z.f;
		pull(a);
		return mp(a, z.s);			
	}
	else {
		pinode z = splitX(a->l, x);
		a->l = z.s;
		pull(a);
		return mp(z.f, a);
	}
}


ll get(ll v, ll del) {
	if(del == -1)return 0;
	pinode z = splitSz(rt[v], del);
    ll sum = (z.f ? z.f->sum : 0);
	rt[v] = mrg(z.f, z.s);
	return sum;
}

void insert(ll v, ll zn) {
	pinode z = splitX(rt[v], zn);
	node *u = new node(zn);
	rt[v] = mrg(mrg(z.f, u), z.s);
}

void dele(ll v, ll zn) {
	pinode z = splitX(rt[v], zn - 1);
	pinode z2 = splitSz(z.s, 1);
	rt[v] = mrg(z.f, z2.s);
}


ll dp[N][2];
bool was[N];

vector<int> act;
vector<pii> g[N];
vector<pii> g2[N];
vector<int> st[N];

void solve(ll v, ll p, ll x) {
	ll del = g2[v].size() - x;
	was[v] = 1;
	for(auto u : g[v]) {
		if(u.f != p) {
			solve(u.f, v, x);
		}
	}
	ll sum = 0;
	for(auto u : g[v]) {
		if(u.f != p) {
			sum += dp[u.f][1];
			if(dp[u.f][0] + u.s - dp[u.f][1] < 0)
				sum += dp[u.f][0] + u.s - dp[u.f][1], del--;
			else
				insert(v, dp[u.f][0] + u.s - dp[u.f][1]);		
		}
	}
	dp[v][0] = sum + get(v, del - 1);
	dp[v][1] = sum + get(v, del);	
	for(auto u : g[v]) {
		if(u.f != p) {
		    if(dp[u.f][0] + u.s - dp[u.f][1] >= 0)
				dele(v, dp[u.f][0] + u.s - dp[u.f][1]);
		}
	}
}

vector<ll> minimum_closure_costs(int n, vector<int> U, vector<int> V, vector<int> W) {
	for(int i = 0; i < N; i++)
		rt[i] = nullptr;	
	vector<ll> answ;
	for(auto &u : U)u++;
	for(auto &u : V)u++; 	
	for(int i = 1; i < n; i++) {
		g2[U[i - 1]].pb(mp(V[i - 1], W[i - 1]));
		g2[V[i - 1]].pb(mp(U[i - 1], W[i - 1]));
	}
	for(int i = 1; i <= n; i++) {
		st[g2[i].size()].pb(i);
	}
	for(int j = n - 1; j >= 0; j--) {
		for(auto v : st[j]) {
		    act.pb(v);
			for(auto u : g2[v]) {
				if(g2[u.f].size() > j) {
					g[u.f].pb(mp(v, u.s));
					g[v].pb(u);
					dele(u.f, u.s);
				}
				else if(g2[u.f].size() == j) {
					g[v].pb(u);									
				}
				else {
					insert(v, u.s);
				}
		   	}
		}
		ll ans = 0;
		for(auto u : act) {
			if(!was[u]) { 
				solve(u, 0, j);
				ans += dp[u][1];
			}
		}
		answ.pb(ans);
		for(auto u : act)was[u] = 0, dp[u][0] = dp[u][1] = 0;
	}           	
	reverse(answ.begin(), answ.end());
	return answ;
}
/*
int main() {
  int N;
  assert(1 == scanf("%d", &N));
 
  std::vector<int> U(N - 1), V(N - 1), W(N - 1);
  for (int i = 0; i < N - 1; ++i) {
    assert(3 == scanf("%d %d %d", &U[i], &V[i], &W[i]));
  }
 
  std::vector<long long> closure_costs = minimum_closure_costs(N, U, V, W);
  for (int i = 0; i < static_cast<int>(closure_costs.size()); ++i) {
    if (i > 0) {
      printf(" ");
    }
    printf("%lld",closure_costs[i]);
  }
  printf("\n");
  return 0;
}
 
/*
7
1 0 2
2 1 3
3 2 7
4 3 7
5 4 7
6 5 7
*/

컴파일 시 표준 에러 (stderr) 메시지

roads.cpp:212:1: warning: "/*" within comment [-Wcomment]
  212 | /*
      |  
roads.cpp: In function 'std::vector<long long int> minimum_closure_costs(int, std::vector<int>, std::vector<int>, std::vector<int>)':
roads.cpp:165:23: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  165 |     if(g2[u.f].size() > j) {
      |        ~~~~~~~~~~~~~~~^~~
roads.cpp:170:28: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  170 |     else if(g2[u.f].size() == j) {
      |             ~~~~~~~~~~~~~~~^~~~

• Subtask 1: 5 / 5
• Subtask 2: 7 / 7
• Subtask 3: 14 / 14
• Subtask 4: 10 / 10
• Subtask 5: 17 / 17
• Subtask 6: 25 / 25
• Subtask 7: 22 / 22