#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
random_device(rd);
mt19937 rng(rd());
const long long FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
struct custom_hash
{
template<class T>
unsigned long long operator()(T v) const
{
unsigned long long x = v;
x += FIXED_RANDOM;
// x += 11400714819323198485ull;
// x = (x ^ (x >> 30)) * 13787848793156543929ull;
x = (x ^ (x >> 27)) * 10723151780598845931ull;
return x ^ (x >> 31);
}
};
template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T, class U> using hash_table = gp_hash_table<T, U, custom_hash>;
template<class T>
T randomize(T mod)
{
return (uniform_int_distribution<T>(0, mod - 1))(rng);
}
template<class T>
void readi(T &x)
{
x = 0;
bool negative = false;
char c = ' ';
while (c < '-')
{
c = getchar();
}
if (c == '-')
{
negative = true;
c = getchar();
}
while (c >= '0')
{
x = x * 10 + (c - '0');
c = getchar();
}
if (negative)
{
x = -x;
}
}
template<class T>
void printi(T output)
{
if (output == 0)
{
putchar('0');
return;
}
if (output < 0)
{
putchar('-');
output = -output;
}
int buf[20], n = 0;
while(output)
{
buf[n] = ((output % 10));
output /= 10;
n++;
}
for (n--; n >= 0; n--)
{
putchar(buf[n] + '0');
}
return;
}
template<class T>
void ckmin(T &a, T b)
{
a = min(a, b);
}
template<class T>
void ckmax(T &a, T b)
{
a = max(a, b);
}
long long expo(long long a, long long e, long long mod)
{
return ((e == 0) ? 1 : ((expo(a * a % mod, e >> 1, mod)) * ((e & 1) ? a : 1) % mod));
}
template<class T, class U>
void nmod(T &x, U mod)
{
if (x >= mod) x -= mod;
}
template<class T>
T gcd(T a, T b)
{
return (b ? gcd(b, a % b) : a);
}
#define y0 ___y0
#define y1 ___y1
#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define DBG(x) cerr << #x << " = " << (x) << endl
#define SZ(x) ((int) ((x).size()))
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)
#define ALL(x) (x).begin(), (x).end()
const long double PI = 4.0 * atan(1.0);
const long double EPS = 1e-9;
#define MAGIC 347
#define SINF 10007
#define CO 1000007
#define INF 1000000007
#define BIG 1000000931
#define LARGE 1696969696967ll
#define GIANT 2564008813937411ll
#define LLINF 2696969696969696969ll
#define MAXN 200013
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pdd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<ld> vd;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
typedef vector<pdd> vpd;
int N, Q, R;
vi edge[MAXN];
hash_table<int, ll> dist[MAXN];
ll ans[MAXN];
ll tot;
int parent[MAXN], subtree[MAXN];
ll down[MAXN], up[MAXN];
ll enter[MAXN];
ll best[MAXN];
vl others[MAXN];
bitset<MAXN> done;
void dfs1(int u)
{
subtree[u] = 1;
for (int v : edge[u])
{
if (v == parent[u]) continue;
// cerr << u << " -> " << v << endl;
parent[v] = u;
down[v] = down[u] + dist[u][v];
up[v] = up[u] + dist[v][u];
dfs1(v);
subtree[u] += subtree[v];
}
}
void dfs(int u)
{
subtree[u] = 1;
for (int v : edge[u])
{
if (v == parent[u]) continue;
// cerr << u << " -> " << v << endl;
parent[v] = u;
down[v] = down[u] + dist[u][v];
dfs(v);
subtree[u] += subtree[v];
up[u] += (up[v] + dist[v][u]);
}
// cerr << u << ' ' << up[u] << ' ' << down[u] << endl;
}
void clean(int u)
{
for (int v : edge[u])
{
if (v == parent[u] || done[v]) continue;
clean(v);
}
subtree[u] = 0;
parent[u] = N;
others[u].clear(); best[u] = 0; down[u] = 0; up[u] = 0;
}
int find_cent(int u, int sz)
{
for (int v : edge[u])
{
if (v == parent[u] || done[v]) continue;
if (subtree[v] * 2 > sz) return find_cent(v, sz);
}
return u;
}
void solve(int u)
{
bool flag = true;
for (int v : edge[u])
{
if (v == parent[u] || done[v]) continue;
flag = false;
solve(v);
}
for (int v : edge[u])
{
if (v == parent[u] || done[v]) continue;
//now we talk more about what we save!
if (SZ(others[v]) >= SZ(others[u]))
{
swap(others[v], others[u]);
}
others[u].insert(others[u].end(), ALL(others[v]));
ll cur = best[u], could = best[v] + dist[u][v];
others[u].PB(min(cur, could));
best[u] = max(cur, could);
}
return;
}
//now centroid decomp!
void go(int u)
{
dfs(u);
ll mx1 = 0, mx2 = -LLINF;
for (int v : edge[u])
{
if (v == parent[u] || done[v]) continue;
solve(v);
others[v].PB(best[v] + dist[u][v]);
sort(ALL(others[v]));
if (others[v].back() > mx1)
{
mx2 = mx1;
mx1 = others[v].back();
}
else if (others[v].back() > mx2)
{
mx2 = others[v].back();
}
}
for (int v : edge[u])
{
if (v == parent[u] || done[v]) continue;
if (others[v].back() == mx1)
{
others[v].pop_back(); break;
}
}
for (int v : edge[u])
{
if (v == parent[u] || done[v]) continue;
if (others[v].back() == mx2)
{
others[v].pop_back(); break;
}
}
for (int v : edge[u])
{
if (v == parent[u] || done[v]) continue;
others[u].insert(others[u].end(), ALL(others[v]));
}
sort(ALL(others[u]));
ll sum = enter[u] - mx1 - mx2;
ckmin(ans[2], sum);
FOR(i, 3, 3 + SZ(others[u]))
{
sum -= others[u].back();
ckmin(ans[i], sum);
}
//now you always need to make sure you have stuff from multiple components!
done[u] = true;
clean(u);
for (int v : edge[u])
{
if (done[v]) continue;
dfs(v);
if (subtree[v] == 1) continue;
int c = find_cent(v, subtree[v]);
clean(v);
go(c);
}
return;
//now just treat c as the root and yay!
}
int32_t main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
// cout << fixed << setprecision(10);
// cerr << fixed << setprecision(10);
// if (fopen("file.in", "r"))
// {
// freopen ("file.in", "r", stdin);
// freopen ("file.out", "w", stdout);
// }
cin >> N;
FOR(i, 0, N - 1)
{
int u, v; ll c, d;
cin >> u >> v >> c >> d;
u--; v--;
dist[u][v] = c;
dist[v][u] = d;
tot += (c + d);
edge[u].PB(v);
edge[v].PB(u);
}
FOR(i, 0, N) if (SZ(edge[i]) != 1) R = i;
parent[R] = N;
dfs1(R);
ll totdown = 0;
FOR(i, 0, N) if (i != R) totdown += dist[parent[i]][i];
FOR(u, 0, N) enter[u] = totdown + up[u] - down[u];
FOR(i, 1, N + 1) ans[i] = LLINF;
go(R);
FOR(u, 0, N) ckmin(ans[1], enter[u]);
FOR(i, 1, N) ckmin(ans[i + 1], ans[i]);
cin >> Q;
while(Q--)
{
int x;
cin >> x;
if (N == 2)
{
cout << (x == 1 ? ans[x] : 0) << '\n';
continue;
}
cout << ans[x] << '\n';
}
// cerr << "time elapsed = " << (clock() / (CLOCKS_PER_SEC / 1000)) << " ms" << endl;
return 0;
}
/* READ READ READ
* int overflow, maxn too small, special cases (n=1?, two distinct?), cin.tie() interactive
* reread the problem, try small cases
* note down possible sources of error as you go
* do smth instead of nothing
*/
Compilation message
designated_cities.cpp: In function 'void solve(int)':
designated_cities.cpp:216:7: warning: variable 'flag' set but not used [-Wunused-but-set-variable]
bool flag = true;
^~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
103 ms |
70876 KB |
Output is correct |
| 2 |
Incorrect |
88 ms |
71004 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
110 ms |
70880 KB |
Output is correct |
| 2 |
Execution timed out |
2056 ms |
103508 KB |
Time limit exceeded |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
88 ms |
70788 KB |
Output is correct |
| 2 |
Execution timed out |
2048 ms |
104104 KB |
Time limit exceeded |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
103 ms |
70876 KB |
Output is correct |
| 2 |
Incorrect |
88 ms |
71004 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
110 ms |
70880 KB |
Output is correct |
| 2 |
Execution timed out |
2056 ms |
103508 KB |
Time limit exceeded |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
103 ms |
70876 KB |
Output is correct |
| 2 |
Incorrect |
88 ms |
71004 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
