BZOJ2286/Luogu2495 [Sdoi2011]消耗战 (虚树)
2024-09-02 19:33:40
// never forget open "Head.cpp", boy, never !
#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>
#define R(a,b,c) for(register int a = (b); a <= (c); ++ a)
#define nR(a,b,c) for(register int a = (b); a >= (c); -- a)
#define Max(a,b) ((a) > (b) ? (a) : (b))
#define Min(a,b) ((a) < (b) ? (a) : (b))
#define Fill(a,b) memset(a, b, sizeof(a))
#define Swap(a,b) a^=b^=a^=b
#define ll long long
#define ON_DEBUG
#ifdef ON_DEBUG
#define D_e_Line printf("\n\n----------\n\n")
#define D_e(x) cout << #x << " = " << x << endl
#define Pause() system("pause")
#else
#define D_e_Line ;
#endif
struct ios{
template<typename ATP>ios& operator >> (ATP &x){
x = 0; int f = 1; char c;
for(c = getchar(); c < '0' || c > '9'; c = getchar()) if(c == '-') f = -1;
while(c >= '0' && c <= '9') x = x * 10 + (c ^ '0'), c = getchar();
x*= f;
return *this;
}
}io;
using namespace std;
#include <vector>
const int N = 250007;
int n;
namespace EdgeStar{
struct Edge{
int nxt, pre, w;
}e[N << 1];
int head[N], cntEdge;
inline void add(int u, int v, int w){
e[++cntEdge] = (Edge){head[u], v, w}, head[u] = cntEdge;
}
}
using namespace EdgeStar;
long long minn[N];
namespace TreeChainParticipation{
int siz[N], son[N], fa[N], dep[N];
inline void DFS_First(int u, int father){
fa[u] = father, dep[u] = dep[father] + 1, siz[u] = 1;
for(register int i = head[u]; i; i = e[i].nxt){
int v = e[i].pre;
if(v == father) continue;
minn[v] = Min(minn[u], e[i].w);
DFS_First(v, u);
siz[u] += siz[v];
if(!son[u] || siz[v] > siz[son[u]]){
son[u] = v;
}
}
}
int top[N], dfn[N], dfnIdx;
inline void DFS_Second(int u, int ancester){
top[u] = ancester, dfn[u] = ++dfnIdx;
if(!son[u]) return;
DFS_Second(son[u], ancester);
for(register int i = head[u]; i; i = e[i].nxt){
int v = e[i].pre;
if(v != fa[u] && v != son[u]){
DFS_Second(v, v);
}
}
}
inline int LCA(int x, int y){
while(top[x] != top[y]){
if(dep[top[x]] < dep[top[y]]) Swap(x, y);
x = fa[top[x]];
}
return dep[x] < dep[y] ? x : y;
}
}
using namespace TreeChainParticipation;
int sta[N], _top;
vector<int> G[N];
//Vitual Tree
inline void Insert(int x){
if(_top == 1){
sta[++_top] = x;
return;
}
int lca = LCA(x, sta[_top]);
if(lca == sta[_top]){
//G[sta[_top]].push_back(x);
//sta[++_top] = x;
return;
}
while(_top > 1 && dfn[sta[_top - 1]] >= dfn[lca]){
G[sta[_top - 1]].push_back(sta[_top]);
--_top;
}
// maybe it's not need in this problem // or maybe need ? // shit, of course ! Who said the node 1 should be root
if(lca != sta[_top]){
G[lca].push_back(sta[_top]);
sta[_top] = lca;
}
sta[++_top] = x;
}
inline long long DFS(int u){
if(G[u].size() == 0) return minn[u];
long long sum = 0;
for(vector<int>::iterator v = G[u].begin(); v != G[u].end(); ++v){
sum += DFS(*v);
}
G[u].clear();
return Min(sum, minn[u]);
}
int act[N];
inline int cmp(const int &a, const int &b){
return dfn[a] < dfn[b];
}
int main(){
io >> n;
R(i,2,n){
int u, v, w;
io >> u >> v >> w;
add(u, v, w);
add(v, u, w);
}
minn[1] = 9223372036854775807;
DFS_First(1, 0);
DFS_Second(1, 1);
int Tasks;
io >> Tasks;
while(Tasks--){
int m;
io >> m;
R(i,1,m){
io >> act[i];
}
sort(act + 1, act + m + 1, cmp); // important !
_top = 1;
sta[_top] = 1;
R(i,1,m){
Insert(act[i]);
}
while(_top){
G[sta[_top - 1]].push_back(sta[_top]);
--_top;
}
printf("%lld\n", DFS(1));
}
return 0;
}
/*
10
1 5 13
1 9 6
2 1 19
2 4 8
2 3 91
5 6 8
7 5 4
7 8 31
10 7 9
3
2 10 6
4 5 7 8 3
3 9 4 6
*/
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