#include <bits/stdc++.h>
#define f first
#define s second
#define vec vector
#define pb push_back
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define pw(x) (1LL<<(x))
#define sz(x) (int)(x).size()
#define m_p make_pair
#define fast_prep ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
typedef long double ld;
template<class T> bool umin(T &a,const T &b){return (a>b?a=b,1:0);}
template<class T> bool umax(T &a,const T &b){return (a<b?a=b,1:0);}
const int N=501;
int p[N],sz[N];
void make(int v){
p[v]=v;sz[v]=1;
}
int get(int v){
return p[v]=(p[v]==v?v:get(p[v]));
}
bool mg(int a,int b){
a=get(a),b=get(b);
if(a==b) return 0;
if(sz[a]<sz[b]) swap(a,b);
p[b]=a;sz[a]+=sz[b];
return 1;
}
signed main(){
fast_prep;
int n,m;
cin>>n>>m;
vec<array<int,3>> arr;
for(int i=0;i<m;i++){
int v,u,w;
cin>>v>>u>>w;--v;--u;
arr.pb({w,v,u});
}
arr.pb({(int)-1e9-10,0,0});
sort(all(arr));m++;
vec<vec<int>> lft(m+1);
auto rgt=lft;
/// let's try
{
vec<int> cur;
for(int i=m-1;i>=0;i--){
for(int j=0;j<n;j++) make(j);
cur.insert(cur.begin(),i);
for(auto &z : cur){
if(mg(arr[z][1],arr[z][2]))
rgt[i].pb(z);
}
cur=rgt[i];
}
}
{
vec<int> cur;
for(int i=0;i<m;i++){
for(int j=0;j<n;j++) make(j);
cur.insert(cur.begin(),i);
for(auto &z : cur){
if(mg(arr[z][1],arr[z][2]))
lft[i].pb(z);
}
cur=lft[i];
}
}
vec<int> kek;
// for(int i=0;i<m;i++){
// for(auto &z : lft[i])
// cout<<z[0]<<' '<<z[1]<<' '<<z[2]<<endl;
// }
for(auto &z : arr) kek.pb(z[0]);
// for(int i=1;i<m;i++)
// kek.pb((arr[i][0]+arr[i][1])/2);
for(int it=0;it<2;it++){
sort(all(kek));kek.erase(unique(all(kek)),kek.end());
vec<int> nkek=kek;
for(int i=1;i<sz(kek);i++)
nkek.pb((kek[i]+kek[i-1])/2);
sort(all(nkek));nkek.erase(unique(all(nkek)),nkek.end());
swap(kek,nkek);
// cout<<"HEY "<<sz(kek)<<' '<<it<<endl;
// kek.pb((arr[i][0]+arr[i][1])/2);
}
int j;
vec<int> lower;
vec<int> same;
vec<ll> ans;
arr.pb({(int)1e9+1,-1,-1});
int q;
cin>>q;
vec<int> x(q);
for(auto &z : x) cin>>z;
// kek=x;
vec<array<int,3>> my;
auto stupid=[&](int x){
my=arr;
for(auto &z : my) z[0]=abs(x-z[0]);
sort(all(my));
for(int i=0;i<n;i++) make(i);
ll ans=0;
for(auto &z : my){
if(mg(z[1],z[2]))
ans+=z[0];
}
return ans;
};
for(int i=1;i<q;i++) assert(kek[i]>kek[i-1]);
for(int j=1;j<m;j++) assert(arr[j][0]>=arr[j-1][0]);
j=-1;
for(auto &z : kek){
while(j+1<m && arr[j+1][0]<=z) ++j;
// cout<<"HEY "<<z<<' '<<arr[j][0]<<' '<<arr[j+1][0]<<' '<<z<<endl;
///j and j+1
int f=0,s=0;
for(int i=0;i<n;i++) make(i);
int rem=n-1;
int lw=0;
ll cur=0;
int _sam=0;
// assert(arr[j+1][0]>z && arr[j][0]<=z);
while(rem--){
while(f!=sz(lft[j]) && get(arr[lft[j][f]][1])==get(arr[lft[j][f]][2])) ++f;
while(s!=sz(rgt[j+1]) && get(arr[rgt[j+1][s]][1])==get(arr[rgt[j+1][s]][2])) ++s;
// cout<<"HEY "<<f<<' '<<s<<' '<<sz(lft[j])<<' '<<sz(rgt[j+1])<<endl;
if(s!=sz(rgt[j+1]) && (f==sz(lft[j]) || (z-arr[lft[j][f]][0])>(arr[rgt[j+1][s]][0]-z))){
assert(mg(arr[rgt[j+1][s]][1],arr[rgt[j+1][s]][2]));
// assert(rgt[j+1][s][0]>=z);
cur+=arr[rgt[j+1][s]][0]-z;
++s;
}
else{
assert(mg(arr[lft[j][f]][1],arr[lft[j][f]][2]));
lw+=(z>arr[lft[j][f]][0]);
_sam+=(z==arr[lft[j][f]][0]);
cur+=z-arr[lft[j][f]][0];
++f;
}
}
// cout<<"WOW "<<z<<' '<<cur<<' '<<lw<<endl;
ans.pb(cur);
same.pb(_sam);
lower.pb(lw);
}
// int q;
// cin>>q;
for(int i=0;i<q;i++){
int xt=x[i];
// cin>>x;
ll anst=1e18;
int j=upper_bound(all(kek),xt)-kek.begin();
if(j!=sz(kek)){
umin(anst,ans[j]-1ll*lower[j]*abs(kek[j]-xt)+1ll*(n-1-lower[j])*abs(kek[j]-xt));
}
--j;
//// assert(kek[j]==xt);
if(j!=sz(kek)){
umin(anst,ans[j]+1ll*(lower[j]+same[j])*abs(kek[j]-xt)-1ll*(n-1-lower[j]-same[j])*abs(kek[j]-xt));
}
//// assert(anst>=stupid(xt));
cout<<anst<<'\n';
}
return 0;
}
/*
5 10
1 2 8
1 3 13
1 4 5
1 5 11
1 5 3
2 3 7
2 4 15
3 4 6
3 5 6
4 5 2
1
10
17
*/
Compilation message
reconstruction.cpp: In function 'int main()':
reconstruction.cpp:106:10: warning: variable 'stupid' set but not used [-Wunused-but-set-variable]
106 | auto stupid=[&](int x){
| ^~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
324 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
324 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Runtime error |
2876 ms |
842504 KB |
Execution killed with signal 6 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
324 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
324 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
324 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |