#include <bits/stdc++.h>
using namespace std;
template<class T, class U>
void ckmin(T &a, U b)
{
if (a > b) a = b;
}
template<class T, class U>
void ckmax(T &a, U b)
{
if (a < b) a = b;
}
#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#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 SZ(x) ((int) ((x).size()))
#define ALL(x) (x).begin(), (x).end()
#define MAXN 300013
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
int N, M, K, T;
vector<pair<ll, pii> > edges;
vi edge[MAXN], edge1[MAXN];
int ancestor[20][MAXN];
ll arr[MAXN];
int st[MAXN];
vi nodes;
map<int, ll> cost[MAXN], weight[MAXN];
vpi cand;
int dsu[MAXN];
bitset<MAXN> flag, take, imp;
int parent[MAXN], depth[MAXN];
ll dp[MAXN], subtree[MAXN];
pii bound[MAXN];
ll ans;
bool cmp(int a, int b)
{
return st[a] < st[b];
}
int get(int u)
{
return (u == dsu[u] ? u : dsu[u] = get(dsu[u]));
}
bool merge(int u, int v)
{
u = get(u); v = get(v);
if (u == v) return false;
dsu[u] = v;
return true;
}
void dfs1(int u, int p)
{
st[u] = T;
T++;
subtree[u] = arr[u];
for (int v : edge[u])
{
if (v == p) continue;
parent[v] = u;
depth[v] = depth[u] + 1;
dfs1(v, u);
subtree[u] += subtree[v];
}
}
void dfs(int u, int p)
{
subtree[u] = weight[u][u];
for (int v : edge1[u])
{
if (v == p) continue;
parent[v] = u;
dfs(v, u);
subtree[u] += subtree[v];
subtree[u] += weight[u][v];
}
return;
}
void mark(int u)
{
//lower, upper
if (flag[u]) bound[u].se = u;
for (int v : edge[u])
{
if (v == parent[u]) continue;
bound[v].se = bound[u].se;
mark(v);
bound[u].fi = bound[v].fi;
}
if (flag[u]) bound[u].fi = u;
}
int lca(int u, int v)
{
if (depth[u] > depth[v]) swap(u, v);
FORD(i, 20, 0)
{
if ((depth[v] - depth[u]) & (1 << i)) v = ancestor[i][v];
}
if (u == v) return u;
FORD(i, 20, 0)
{
if (ancestor[i][v] != ancestor[i][u])
{
u = ancestor[i][u];
v = ancestor[i][v];
}
}
return parent[u];
}
int32_t main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> N >> M >> K;
flag[0] = true;
FOR(i, 0, M)
{
int u, v; ll d;
cin >> u >> v >> d; u--; v--; if (u > v) swap(u, v);
edges.PB({d, {u, v}});
}
FOR(i, 0, K)
{
int u, v; cin >> u >> v; u--; v--;
cand.PB({u, v});
flag[u] = true;
flag[v] = true;
}
flag[0] = true;
FOR(i, 0, N)
{
cin >> arr[i];
dsu[i] = i;
}
sort(ALL(edges));
for (auto e : edges)
{
// cerr << "HI\n";
int u = e.se.fi, v = e.se.se; ll d = e.fi;
if (merge(u, v))
{
cost[u][v] = d;
cost[v][u] = d;
edge[u].PB(v);
edge[v].PB(u);
// cerr << u << ' ' << v << ' ' << cost[u][v] << endl;
}
}
parent[0] = N;
dfs1(0, N);
FOR(i, 0, 20) ancestor[i][N] = N;
FOR(i, 0, N) ancestor[0][i] = parent[i];
FOR(i, 0, 19)
{
FOR(j, 0, N)
{
ancestor[i + 1][j] = ancestor[i][ancestor[i][j]];
}
}
FOR(i, 0, N) if (flag[i]) nodes.PB(i);
sort(ALL(nodes), cmp);
vi tmp; tmp.PB(0);
FOR(i, 1, SZ(nodes))
{
int u = nodes[i - 1], v = nodes[i], w = lca(u, v);
if (w != u && w != v) tmp.PB(w);
tmp.PB(v);
}
nodes = tmp;
for (int u : nodes) flag[u] = true;
FOR(i, 0, SZ(nodes) - 1)
{
int u = nodes[i], v = nodes[i + 1]; if (depth[v] < depth[u]) swap(u, v);
ll len = 0, wei = 0;
while(v != u)
{
assert(v != N);
wei += arr[v];
ckmax(len, cost[v][parent[v]]);
v = parent[v];
}
edges.PB({len, {u, v}});
}
sort(ALL(edges));
FOR(i, 0, N) bound[i] = {-1, -1};
mark(0);
FOR(i, 0, N) if (bound[i].fi == -1) bound[i].fi = bound[i].se;
FOR(i, 0, N)
{
weight[bound[i].fi][bound[i].se] += arr[i];
if (bound[i].fi != bound[i].se) weight[bound[i].se][bound[i].fi] += arr[i];
}
parent[0] = N;
sort(ALL(nodes));
nodes.erase(unique(ALL(nodes)), nodes.end());
FOR(i, 0, (1 << K))
{
// cerr << "SOLVE " << i << endl;
for (int x : nodes)
{
dsu[x] = x;
edge1[x].clear();
dp[x] = 0;
imp[x] = false;
}
FOR(j, 0, K)
{
if (!(i & (1 << j))) continue;
int u = cand[j].fi, v = cand[j].se;
merge(u, v);
}
FOR(j, 0, SZ(edges))
{
int u = edges[j].se.fi, v = edges[j].se.se;
take[j] = merge(u, v);
}
FOR(j, 0, K)
{
if (!(i & (1 << j))) continue;
int u = cand[j].fi, v = cand[j].se;
edge1[u].PB(v);
edge1[v].PB(u);
// cerr << u << " -> " << v << endl;
}
FOR(j, 0, SZ(edges))
{
if (!take[j]) continue;
int u = edges[j].se.fi, v = edges[j].se.se;
edge1[u].PB(v);
edge1[v].PB(u);
// cerr << u << " -> " << v << endl;
}
dfs(0, N);
FOR(j, 0, K)
{
if (!(i & (1 << j))) continue;
int u = cand[j].fi, v = cand[j].se;
if (v == parent[u]) swap(u, v);
imp[v] = true;
}
FORD(j, SZ(edges), 0)
{
if (take[j]) continue;
int u = edges[j].se.fi, v = edges[j].se.se; ll d = edges[j].fi;
//everything on the path u...v gets capped to
vi pu, pv;
while(u != 0)
{
pu.PB(u);
u = parent[u];
}
while(v != 0)
{
pv.PB(v);
v = parent[v];
}
while(!pu.empty() && !pv.empty() && pu.back() == pv.back())
{
pu.pop_back(); pv.pop_back();
}
for (int x : pu) dp[x] = d;
for (int x : pv) dp[x] = d;
}
ll res = 0;
for (int x : nodes)
{
if (!imp[x]) continue;
// cerr << "ADD " << x << endl;
res += subtree[x] * dp[x];
}
ckmax(ans, res);
// cerr << "RES " << res << endl;
}
cout << ans << '\n';
return 0;
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Incorrect |
41 ms |
42788 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Incorrect |
41 ms |
42788 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Incorrect |
41 ms |
42788 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Incorrect |
41 ms |
42788 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Incorrect |
41 ms |
42788 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
