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Submission #383767

# Submission time Handle Problem Language Result Execution time Memory
383767 2021-03-30T19:30:11 Z rqi Designated Cities (JOI19_designated_cities) C++14
100 / 100
 1947 ms 46352 KB 
#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
 
typedef vector<int> vi;
typedef vector<ll> vl;
 
#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];
vl sums;
 
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);

 
	queue<int> q;
	ll val1 = 0;
	ll val2 = 0;
	for(auto &u: adj[cen]){
		q.push(best_down[u.f].s);
		ckmax(val2, best_down[u.f].f+par[u.f].s);
		if(val1 < val2){
			swap(val1, val2);
		}
	}
 
	for(auto &u: cen_nodes){
		taken[u] = 0;
	}
	taken[cen] = 1;
 
	while(sz(sums)) sums.pop_back();

	while(sz(q)){
		int take_node = q.front();
		q.pop();
 
		//cout << "take_node: " << i << " " << take_node << "\n";
		ll sum = 0;
		while(true){
			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;
				q.push(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;
		}
		sums.pb(sum);
	}


	sort(sums.rbegin(), sums.rend());
	// cout << "sums: ";
	// for(auto u: sums){
	// 	cout << u << " ";
	// }
	// cout << "\n";

	//cout << "vals: " << val1 << " " << val2 << "\n";

	ll cur_sum = 0;
	for(int i = 1; i <= sz(cen_nodes); i++){
		if(i-1 >= sz(sums)){
			ckmax(ans[i], cur_sum+offset+sum_up[cen]);
			continue;
		}
		cur_sum+=sums[i-1];

		if(i == 1) continue;

		if(sums[i-1] > val2){
			//cout << i+1 << " " << cur_sum+val2+offset+sum_up[cen] << "\n";
			ckmax(ans[i+1], cur_sum+val2+offset+sum_up[cen]);
		}
		else{
			ckmax(ans[i], cur_sum+offset+sum_up[cen]);
		}
	}

 
	//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 5248 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 4 ms 5100 KB Output is correct
2 Correct 1094 ms 32260 KB Output is correct
3 Correct 1462 ms 41656 KB Output is correct
4 Correct 1083 ms 32028 KB Output is correct
5 Correct 596 ms 32140 KB Output is correct
6 Correct 1339 ms 33668 KB Output is correct
7 Correct 541 ms 32988 KB Output is correct
8 Correct 1418 ms 42336 KB Output is correct
9 Correct 456 ms 34904 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 5100 KB Output is correct
2 Correct 1141 ms 32052 KB Output is correct
3 Correct 1434 ms 43360 KB Output is correct
4 Correct 1099 ms 31900 KB Output is correct
5 Correct 591 ms 32152 KB Output is correct
6 Correct 1334 ms 33984 KB Output is correct
7 Correct 504 ms 34644 KB Output is correct
8 Correct 1427 ms 39392 KB Output is correct
9 Correct 455 ms 34908 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 5248 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 13 ms 5356 KB Output is correct
16 Correct 14 ms 5356 KB Output is correct
17 Correct 13 ms 5356 KB Output is correct
18 Correct 13 ms 5356 KB Output is correct
19 Correct 13 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 13 ms 5356 KB Output is correct
23 Correct 13 ms 5356 KB Output is correct
24 Correct 13 ms 5356 KB Output is correct
25 Correct 14 ms 5484 KB Output is correct
26 Correct 12 ms 5356 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5100 KB Output is correct
2 Correct 1094 ms 32260 KB Output is correct
3 Correct 1462 ms 41656 KB Output is correct
4 Correct 1083 ms 32028 KB Output is correct
5 Correct 596 ms 32140 KB Output is correct
6 Correct 1339 ms 33668 KB Output is correct
7 Correct 541 ms 32988 KB Output is correct
8 Correct 1418 ms 42336 KB Output is correct
9 Correct 456 ms 34904 KB Output is correct
10 Correct 5 ms 5100 KB Output is correct
11 Correct 1141 ms 32052 KB Output is correct
12 Correct 1434 ms 43360 KB Output is correct
13 Correct 1099 ms 31900 KB Output is correct
14 Correct 591 ms 32152 KB Output is correct
15 Correct 1334 ms 33984 KB Output is correct
16 Correct 504 ms 34644 KB Output is correct
17 Correct 1427 ms 39392 KB Output is correct
18 Correct 455 ms 34908 KB Output is correct
19 Correct 4 ms 5100 KB Output is correct
20 Correct 1121 ms 32072 KB Output is correct
21 Correct 1447 ms 43492 KB Output is correct
22 Correct 1057 ms 32152 KB Output is correct
23 Correct 1127 ms 32340 KB Output is correct
24 Correct 1093 ms 32428 KB Output is correct
25 Correct 1116 ms 32476 KB Output is correct
26 Correct 1091 ms 32272 KB Output is correct
27 Correct 596 ms 32284 KB Output is correct
28 Correct 1330 ms 33780 KB Output is correct
29 Correct 1082 ms 32676 KB Output is correct
30 Correct 978 ms 32144 KB Output is correct
31 Correct 516 ms 34396 KB Output is correct
32 Correct 1458 ms 39704 KB Output is correct
33 Correct 465 ms 34900 KB Output is correct

Subtask #6
44.0 / 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 5248 KB Output is correct
11 Correct 4 ms 5100 KB Output is correct
12 Correct 4 ms 5100 KB Output is correct
13 Correct 1094 ms 32260 KB Output is correct
14 Correct 1462 ms 41656 KB Output is correct
15 Correct 1083 ms 32028 KB Output is correct
16 Correct 596 ms 32140 KB Output is correct
17 Correct 1339 ms 33668 KB Output is correct
18 Correct 541 ms 32988 KB Output is correct
19 Correct 1418 ms 42336 KB Output is correct
20 Correct 456 ms 34904 KB Output is correct
21 Correct 5 ms 5100 KB Output is correct
22 Correct 1141 ms 32052 KB Output is correct
23 Correct 1434 ms 43360 KB Output is correct
24 Correct 1099 ms 31900 KB Output is correct
25 Correct 591 ms 32152 KB Output is correct
26 Correct 1334 ms 33984 KB Output is correct
27 Correct 504 ms 34644 KB Output is correct
28 Correct 1427 ms 39392 KB Output is correct
29 Correct 455 ms 34908 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 13 ms 5356 KB Output is correct
34 Correct 14 ms 5356 KB Output is correct
35 Correct 13 ms 5356 KB Output is correct
36 Correct 13 ms 5356 KB Output is correct
37 Correct 13 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 13 ms 5356 KB Output is correct
41 Correct 13 ms 5356 KB Output is correct
42 Correct 13 ms 5356 KB Output is correct
43 Correct 14 ms 5484 KB Output is correct
44 Correct 12 ms 5356 KB Output is correct
45 Correct 4 ms 5100 KB Output is correct
46 Correct 1121 ms 32072 KB Output is correct
47 Correct 1447 ms 43492 KB Output is correct
48 Correct 1057 ms 32152 KB Output is correct
49 Correct 1127 ms 32340 KB Output is correct
50 Correct 1093 ms 32428 KB Output is correct
51 Correct 1116 ms 32476 KB Output is correct
52 Correct 1091 ms 32272 KB Output is correct
53 Correct 596 ms 32284 KB Output is correct
54 Correct 1330 ms 33780 KB Output is correct
55 Correct 1082 ms 32676 KB Output is correct
56 Correct 978 ms 32144 KB Output is correct
57 Correct 516 ms 34396 KB Output is correct
58 Correct 1458 ms 39704 KB Output is correct
59 Correct 465 ms 34900 KB Output is correct
60 Correct 4 ms 5100 KB Output is correct
61 Correct 1634 ms 34100 KB Output is correct
62 Correct 1932 ms 42976 KB Output is correct
63 Correct 1574 ms 34316 KB Output is correct
64 Correct 1569 ms 34408 KB Output is correct
65 Correct 1561 ms 34488 KB Output is correct
66 Correct 1637 ms 34608 KB Output is correct
67 Correct 1619 ms 34416 KB Output is correct
68 Correct 1135 ms 34472 KB Output is correct
69 Correct 1837 ms 35908 KB Output is correct
70 Correct 1651 ms 34592 KB Output is correct
71 Correct 1460 ms 34324 KB Output is correct
72 Correct 1054 ms 36892 KB Output is correct
73 Correct 1947 ms 40812 KB Output is correct
74 Correct 998 ms 46352 KB Output is correct