Submission #559285

# Submission time Handle Problem Language Result Execution time Memory
559285 2022-05-09T15:02:00 Z LastRonin Road Closures (APIO21_roads) C++14
22 / 100
662 ms 65400 KB
#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 <= 0)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(int j = 0; j < n; j++)
		U[j]++, V[j]++;
	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() {
	speed;	
	ll n;
	vector<ll> a, b, c;
	cin >> n;
	for(int i = 1; i < n; i++) {
		a.pb(0), b.pb(0), c.pb(0);
		cin >> a.back() >> b.back() >> c.back();
	}
	vector<ll> answ = minimum_closure_costs(n, a, b, c);
	ll lst = answ.size() - 1ll;
	for(auto u : answ)
		cout << u << (lst == 0 ? "" : " "), lst--;
	cout << "\n";	
}
*/

Compilation message

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) {
      |             ~~~~~~~~~~~~~~~^~~~
# Verdict Execution time Memory Grader output
1 Correct 11 ms 21460 KB Output is correct
2 Correct 20 ms 22096 KB Output is correct
3 Correct 18 ms 22100 KB Output is correct
4 Correct 15 ms 22136 KB Output is correct
5 Correct 12 ms 21460 KB Output is correct
6 Correct 11 ms 21532 KB Output is correct
7 Correct 12 ms 21428 KB Output is correct
8 Correct 15 ms 21964 KB Output is correct
9 Correct 17 ms 22100 KB Output is correct
10 Correct 12 ms 21488 KB Output is correct
11 Correct 11 ms 21460 KB Output is correct
12 Correct 252 ms 42224 KB Output is correct
13 Correct 421 ms 56128 KB Output is correct
14 Correct 556 ms 52448 KB Output is correct
15 Correct 649 ms 55776 KB Output is correct
16 Correct 662 ms 56276 KB Output is correct
17 Correct 266 ms 56328 KB Output is correct
18 Correct 12 ms 21460 KB Output is correct
19 Correct 238 ms 52836 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 21460 KB Output is correct
2 Correct 100 ms 57172 KB Output is correct
3 Correct 109 ms 60824 KB Output is correct
4 Correct 115 ms 64068 KB Output is correct
5 Correct 122 ms 65372 KB Output is correct
6 Correct 13 ms 22100 KB Output is correct
7 Correct 14 ms 22228 KB Output is correct
8 Correct 14 ms 22228 KB Output is correct
9 Runtime error 30 ms 43472 KB Execution killed with signal 6
10 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 11 ms 21460 KB Output is correct
2 Correct 11 ms 21404 KB Output is correct
3 Correct 12 ms 21332 KB Output is correct
4 Correct 13 ms 21520 KB Output is correct
5 Correct 12 ms 21460 KB Output is correct
6 Runtime error 31 ms 43456 KB Execution killed with signal 6
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 11 ms 21460 KB Output is correct
2 Correct 11 ms 21404 KB Output is correct
3 Correct 12 ms 21332 KB Output is correct
4 Correct 13 ms 21520 KB Output is correct
5 Correct 12 ms 21460 KB Output is correct
6 Runtime error 31 ms 43456 KB Execution killed with signal 6
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 240 ms 59364 KB Output is correct
2 Correct 251 ms 58604 KB Output is correct
3 Correct 317 ms 64216 KB Output is correct
4 Correct 239 ms 60500 KB Output is correct
5 Correct 281 ms 64276 KB Output is correct
6 Correct 284 ms 62152 KB Output is correct
7 Correct 287 ms 62912 KB Output is correct
8 Correct 237 ms 53308 KB Output is correct
9 Correct 219 ms 61976 KB Output is correct
10 Correct 240 ms 60788 KB Output is correct
11 Correct 280 ms 61392 KB Output is correct
12 Correct 282 ms 59228 KB Output is correct
13 Correct 12 ms 21348 KB Output is correct
14 Correct 100 ms 61016 KB Output is correct
15 Correct 135 ms 65400 KB Output is correct
16 Correct 16 ms 22224 KB Output is correct
17 Correct 14 ms 22144 KB Output is correct
18 Correct 15 ms 22156 KB Output is correct
19 Correct 15 ms 22188 KB Output is correct
20 Correct 16 ms 22228 KB Output is correct
21 Correct 233 ms 52700 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 240 ms 59364 KB Output is correct
2 Correct 251 ms 58604 KB Output is correct
3 Correct 317 ms 64216 KB Output is correct
4 Correct 239 ms 60500 KB Output is correct
5 Correct 281 ms 64276 KB Output is correct
6 Correct 284 ms 62152 KB Output is correct
7 Correct 287 ms 62912 KB Output is correct
8 Correct 237 ms 53308 KB Output is correct
9 Correct 219 ms 61976 KB Output is correct
10 Correct 240 ms 60788 KB Output is correct
11 Correct 280 ms 61392 KB Output is correct
12 Correct 282 ms 59228 KB Output is correct
13 Correct 12 ms 21348 KB Output is correct
14 Correct 100 ms 61016 KB Output is correct
15 Correct 135 ms 65400 KB Output is correct
16 Correct 16 ms 22224 KB Output is correct
17 Correct 14 ms 22144 KB Output is correct
18 Correct 15 ms 22156 KB Output is correct
19 Correct 15 ms 22188 KB Output is correct
20 Correct 16 ms 22228 KB Output is correct
21 Correct 233 ms 52700 KB Output is correct
22 Correct 12 ms 21404 KB Output is correct
23 Correct 12 ms 21332 KB Output is correct
24 Correct 12 ms 21432 KB Output is correct
25 Correct 195 ms 53616 KB Output is correct
26 Correct 169 ms 50212 KB Output is correct
27 Correct 237 ms 58796 KB Output is correct
28 Correct 401 ms 61392 KB Output is correct
29 Correct 333 ms 58420 KB Output is correct
30 Correct 403 ms 58144 KB Output is correct
31 Correct 452 ms 59792 KB Output is correct
32 Correct 240 ms 57152 KB Output is correct
33 Correct 402 ms 54124 KB Output is correct
34 Correct 326 ms 60428 KB Output is correct
35 Correct 239 ms 63320 KB Output is correct
36 Correct 376 ms 59236 KB Output is correct
37 Correct 411 ms 57160 KB Output is correct
38 Correct 69 ms 47248 KB Output is correct
39 Correct 110 ms 63844 KB Output is correct
40 Runtime error 36 ms 44468 KB Execution killed with signal 6
41 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 11 ms 21460 KB Output is correct
2 Correct 20 ms 22096 KB Output is correct
3 Correct 18 ms 22100 KB Output is correct
4 Correct 15 ms 22136 KB Output is correct
5 Correct 12 ms 21460 KB Output is correct
6 Correct 11 ms 21532 KB Output is correct
7 Correct 12 ms 21428 KB Output is correct
8 Correct 15 ms 21964 KB Output is correct
9 Correct 17 ms 22100 KB Output is correct
10 Correct 12 ms 21488 KB Output is correct
11 Correct 11 ms 21460 KB Output is correct
12 Correct 252 ms 42224 KB Output is correct
13 Correct 421 ms 56128 KB Output is correct
14 Correct 556 ms 52448 KB Output is correct
15 Correct 649 ms 55776 KB Output is correct
16 Correct 662 ms 56276 KB Output is correct
17 Correct 266 ms 56328 KB Output is correct
18 Correct 12 ms 21460 KB Output is correct
19 Correct 238 ms 52836 KB Output is correct
20 Correct 11 ms 21460 KB Output is correct
21 Correct 100 ms 57172 KB Output is correct
22 Correct 109 ms 60824 KB Output is correct
23 Correct 115 ms 64068 KB Output is correct
24 Correct 122 ms 65372 KB Output is correct
25 Correct 13 ms 22100 KB Output is correct
26 Correct 14 ms 22228 KB Output is correct
27 Correct 14 ms 22228 KB Output is correct
28 Runtime error 30 ms 43472 KB Execution killed with signal 6
29 Halted 0 ms 0 KB -