oj.uz

Submission #383728

# Submission time Handle Problem Language Result Execution time Memory
383728 2021-03-30T17:50:05 Z rqi Designated Cities (JOI19_designated_cities) C++14
56 / 100
 2000 ms 43700 KB 
#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
 
typedef vector<int> vi;
 
#define f first
#define s second
#define mp make_pair
#define pb push_back
 
#define sz(x) (int)(x).size()
 
void ckmax(ll&a, ll b){
	a = max(a, b);
}
 
const int mx = 200005;
int N;
int A[mx];
int B[mx];
ll C[mx];
ll D[mx];
int E[mx];
 
vector<pair<int, ll>> adj[mx];
ll tot_cost;
ll ans[mx];
 
int sub[mx];
vi cen_nodes;
 
void genSub(int node, int p = -1){
	cen_nodes.pb(node);
	sub[node] = 1;
	for(auto u: adj[node]){
		if(u.f == p) continue;
		genSub(u.f, node);
		sub[node]+=sub[u.f];
	}
}
 
int getCen(int node, int tot_sz, int p = -1){
	for(auto u: adj[node]){
		if(u.f == p) continue;
		if(sub[u.f] > tot_sz/2) return getCen(u.f, tot_sz, node);
	}
	return node;
}
 
 
 
int genCen(int node){
	cen_nodes.clear();
	genSub(node);
	return getCen(node, sub[node]);
}
 
pair<int, ll> par[mx];
ll sum_up[mx];
pair<ll, int> best_down[mx];
 
void genUpDown(int node, int p = -1){
	sum_up[node] = 0;
	best_down[node] = mp(0, node);
 
	for(auto u: adj[node]){
		if(u.f == p) continue;
		ll bedge = 0;
		for(auto x: adj[u.f]){
			if(x.f == node){
				bedge = x.s;
				break;
			}
		}
		par[u.f] = mp(node, u.s);
		sum_up[node]+=bedge;
		genUpDown(u.f, node);
		sum_up[node]+=sum_up[u.f];
		best_down[node] = max(best_down[node], mp(best_down[u.f].f+u.s, best_down[u.f].s));
	}
}
 
bool taken[mx];
 
void genAns(int cen, ll offset){
	cen = genCen(cen);
 
	//process cen
 
	genUpDown(cen);
 
	//update ans - remember done/offset
 
	//cout << "cen, offset, sumup[cen]: " << cen << " " << offset << " " << sum_up[cen] << "\n";
 
	ckmax(ans[1], sum_up[cen]+offset);
 
	priority_queue<pair<ll, int>> pq;
	for(auto u: adj[cen]){
		pq.push(mp(best_down[u.f].f+par[u.f].s, best_down[u.f].s));
	}
 
	for(auto u: cen_nodes){
		taken[u] = 0;
	}
	taken[cen] = 1;
 
	ll cur_sum = 0;
	ll best_outside = 0;
	bool good = 0;
	for(int i = 1; i <= sz(cen_nodes); i++){
		if(sz(pq) == 0){
			ckmax(ans[i], cur_sum+sum_up[cen]+offset);
			continue;
		}
		int take_node = pq.top().s;
		pq.pop();
 
		//cout << "take_node: " << i << " " << take_node << "\n";
		while(true){
			cur_sum+=par[take_node].s;
			taken[take_node] = 1;
			//cout << "add: " << take_node << " " << par[take_node].s << "\n";
			for(auto u: adj[take_node]){
				if(taken[u.f] || u.f == par[take_node].f) continue;
				pq.push(mp(best_down[u.f].f+par[u.f].s, best_down[u.f].s));
				//cout << "push: " << best_down[u.f].s << "\n";
			}
			if(taken[par[take_node].f]) break;
			take_node = par[take_node].f;
		}
		
		if(i == 1){
			for(auto u: adj[cen]){
				if(u.f != take_node){
					ckmax(best_outside, u.s+best_down[u.f].f);
				}
			}
		}
 
		if(i != 1 && par[take_node].f == cen){
			good = 1;
		}
 
		if(good){
			ckmax(ans[i], cur_sum+sum_up[cen]+offset);
			//cout << "ckmax(ans[]: " << i << " " << cur_sum+sum_up[cen]+offset << "\n";
		}
		else{
			ckmax(ans[i+1], cur_sum+best_outside+sum_up[cen]+offset);
			//cout << "ckmax(ans[]: " << i+1 << " " << cur_sum+best_outside+sum_up[cen]+offset << "\n";
		}
	}
 
	//recurse
 
	vector<pair<int, ll>> recurse;
	for(auto u: adj[cen]){
		ll new_offset = offset+sum_up[cen]-sum_up[u.f]+u.s;
		vector<pair<int, ll>> v;
		for(auto x: adj[u.f]){
			if(x.f == cen){
				new_offset-=x.s;
				continue;
			}
			v.pb(x);
		}
		adj[u.f] = v;
		genAns(u.f, new_offset);
	}
}
 
int main(){
	cin >> N;
	for(int i = 1; i <= N-1; i++){
		cin >> A[i] >> B[i] >> C[i] >> D[i];
		adj[A[i]].pb(mp(B[i], C[i]));
		adj[B[i]].pb(mp(A[i], D[i]));
		tot_cost+=C[i]+D[i];
	}
 
	genAns(1, 0);
 
	// cout << "tot: " << tot_cost << "\n";
	// for(int i = 1; i <= N; i++){
	// 	cout << "i, ans[i]: " << i << " " << ans[i] << "\n";
	// }
 
	for(int i = 1; i <= N; i++){
		ans[i] = tot_cost-ans[i];
	}
 
	//cout << ans[N] << "\n";
 
	assert(ans[N] == 0);
 
	int Q;
	cin >> Q;
	for(int i = 1; i <= Q; i++){
		cin >> E[i];
		cout << ans[E[i]] << "\n";
	}
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5100 KB Output is correct
2 Correct 4 ms 5100 KB Output is correct
3 Correct 4 ms 5100 KB Output is correct
4 Correct 4 ms 5100 KB Output is correct
5 Correct 4 ms 5100 KB Output is correct
6 Correct 4 ms 5100 KB Output is correct
7 Correct 4 ms 5100 KB Output is correct
8 Correct 4 ms 5100 KB Output is correct
9 Correct 4 ms 5100 KB Output is correct
10 Correct 4 ms 5100 KB Output is correct
11 Correct 4 ms 5100 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 5100 KB Output is correct
2 Correct 1197 ms 33096 KB Output is correct
3 Correct 1484 ms 41608 KB Output is correct
4 Correct 1226 ms 31352 KB Output is correct
5 Correct 636 ms 32380 KB Output is correct
6 Correct 1543 ms 34928 KB Output is correct
7 Correct 567 ms 34268 KB Output is correct
8 Correct 1543 ms 42336 KB Output is correct
9 Correct 524 ms 37536 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5100 KB Output is correct
2 Correct 1305 ms 33244 KB Output is correct
3 Correct 1465 ms 43352 KB Output is correct
4 Correct 1233 ms 31328 KB Output is correct
5 Correct 621 ms 32224 KB Output is correct
6 Correct 1565 ms 35296 KB Output is correct
7 Correct 548 ms 37332 KB Output is correct
8 Correct 1680 ms 39968 KB Output is correct
9 Correct 525 ms 37724 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5100 KB Output is correct
2 Correct 4 ms 5100 KB Output is correct
3 Correct 4 ms 5100 KB Output is correct
4 Correct 4 ms 5100 KB Output is correct
5 Correct 4 ms 5100 KB Output is correct
6 Correct 4 ms 5100 KB Output is correct
7 Correct 4 ms 5100 KB Output is correct
8 Correct 4 ms 5100 KB Output is correct
9 Correct 4 ms 5100 KB Output is correct
10 Correct 4 ms 5100 KB Output is correct
11 Correct 4 ms 5100 KB Output is correct
12 Correct 4 ms 5100 KB Output is correct
13 Correct 14 ms 5356 KB Output is correct
14 Correct 14 ms 5484 KB Output is correct
15 Correct 14 ms 5356 KB Output is correct
16 Correct 17 ms 5356 KB Output is correct
17 Correct 14 ms 5356 KB Output is correct
18 Correct 14 ms 5356 KB Output is correct
19 Correct 14 ms 5356 KB Output is correct
20 Correct 13 ms 5356 KB Output is correct
21 Correct 14 ms 5356 KB Output is correct
22 Correct 14 ms 5356 KB Output is correct
23 Correct 14 ms 5356 KB Output is correct
24 Correct 13 ms 5484 KB Output is correct
25 Correct 14 ms 5484 KB Output is correct
26 Correct 13 ms 5484 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 5100 KB Output is correct
2 Correct 1197 ms 33096 KB Output is correct
3 Correct 1484 ms 41608 KB Output is correct
4 Correct 1226 ms 31352 KB Output is correct
5 Correct 636 ms 32380 KB Output is correct
6 Correct 1543 ms 34928 KB Output is correct
7 Correct 567 ms 34268 KB Output is correct
8 Correct 1543 ms 42336 KB Output is correct
9 Correct 524 ms 37536 KB Output is correct
10 Correct 4 ms 5100 KB Output is correct
11 Correct 1305 ms 33244 KB Output is correct
12 Correct 1465 ms 43352 KB Output is correct
13 Correct 1233 ms 31328 KB Output is correct
14 Correct 621 ms 32224 KB Output is correct
15 Correct 1565 ms 35296 KB Output is correct
16 Correct 548 ms 37332 KB Output is correct
17 Correct 1680 ms 39968 KB Output is correct
18 Correct 525 ms 37724 KB Output is correct
19 Correct 4 ms 5100 KB Output is correct
20 Correct 1301 ms 33412 KB Output is correct
21 Correct 1465 ms 43552 KB Output is correct
22 Correct 1257 ms 31472 KB Output is correct
23 Correct 1259 ms 33328 KB Output is correct
24 Correct 1266 ms 33552 KB Output is correct
25 Correct 1242 ms 33508 KB Output is correct
26 Correct 1207 ms 33248 KB Output is correct
27 Correct 618 ms 32220 KB Output is correct
28 Correct 1539 ms 34784 KB Output is correct
29 Correct 1232 ms 33504 KB Output is correct
30 Correct 1115 ms 33872 KB Output is correct
31 Correct 567 ms 34524 KB Output is correct
32 Correct 1608 ms 40400 KB Output is correct
33 Correct 520 ms 37460 KB Output is correct

Subtask #6
0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5100 KB Output is correct
2 Correct 4 ms 5100 KB Output is correct
3 Correct 4 ms 5100 KB Output is correct
4 Correct 4 ms 5100 KB Output is correct
5 Correct 4 ms 5100 KB Output is correct
6 Correct 4 ms 5100 KB Output is correct
7 Correct 4 ms 5100 KB Output is correct
8 Correct 4 ms 5100 KB Output is correct
9 Correct 4 ms 5100 KB Output is correct
10 Correct 4 ms 5100 KB Output is correct
11 Correct 4 ms 5100 KB Output is correct
12 Correct 5 ms 5100 KB Output is correct
13 Correct 1197 ms 33096 KB Output is correct
14 Correct 1484 ms 41608 KB Output is correct
15 Correct 1226 ms 31352 KB Output is correct
16 Correct 636 ms 32380 KB Output is correct
17 Correct 1543 ms 34928 KB Output is correct
18 Correct 567 ms 34268 KB Output is correct
19 Correct 1543 ms 42336 KB Output is correct
20 Correct 524 ms 37536 KB Output is correct
21 Correct 4 ms 5100 KB Output is correct
22 Correct 1305 ms 33244 KB Output is correct
23 Correct 1465 ms 43352 KB Output is correct
24 Correct 1233 ms 31328 KB Output is correct
25 Correct 621 ms 32224 KB Output is correct
26 Correct 1565 ms 35296 KB Output is correct
27 Correct 548 ms 37332 KB Output is correct
28 Correct 1680 ms 39968 KB Output is correct
29 Correct 525 ms 37724 KB Output is correct
30 Correct 4 ms 5100 KB Output is correct
31 Correct 14 ms 5356 KB Output is correct
32 Correct 14 ms 5484 KB Output is correct
33 Correct 14 ms 5356 KB Output is correct
34 Correct 17 ms 5356 KB Output is correct
35 Correct 14 ms 5356 KB Output is correct
36 Correct 14 ms 5356 KB Output is correct
37 Correct 14 ms 5356 KB Output is correct
38 Correct 13 ms 5356 KB Output is correct
39 Correct 14 ms 5356 KB Output is correct
40 Correct 14 ms 5356 KB Output is correct
41 Correct 14 ms 5356 KB Output is correct
42 Correct 13 ms 5484 KB Output is correct
43 Correct 14 ms 5484 KB Output is correct
44 Correct 13 ms 5484 KB Output is correct
45 Correct 4 ms 5100 KB Output is correct
46 Correct 1301 ms 33412 KB Output is correct
47 Correct 1465 ms 43552 KB Output is correct
48 Correct 1257 ms 31472 KB Output is correct
49 Correct 1259 ms 33328 KB Output is correct
50 Correct 1266 ms 33552 KB Output is correct
51 Correct 1242 ms 33508 KB Output is correct
52 Correct 1207 ms 33248 KB Output is correct
53 Correct 618 ms 32220 KB Output is correct
54 Correct 1539 ms 34784 KB Output is correct
55 Correct 1232 ms 33504 KB Output is correct
56 Correct 1115 ms 33872 KB Output is correct
57 Correct 567 ms 34524 KB Output is correct
58 Correct 1608 ms 40400 KB Output is correct
59 Correct 520 ms 37460 KB Output is correct
60 Correct 4 ms 5100 KB Output is correct
61 Correct 1766 ms 33672 KB Output is correct
62 Correct 1941 ms 42848 KB Output is correct
63 Correct 1709 ms 40160 KB Output is correct
64 Correct 1690 ms 41832 KB Output is correct
65 Correct 1699 ms 40156 KB Output is correct
66 Correct 1773 ms 41616 KB Output is correct
67 Correct 1761 ms 40176 KB Output is correct
68 Correct 1176 ms 41304 KB Output is correct
69 Execution timed out 2033 ms 43700 KB Time limit exceeded
70 Halted 0 ms 0 KB -