#include <iostream>
#include <vector>
using namespace std;
const int MAXN=2e5+10;
#define endl '\n'
struct Edge {
int to;
long long pl, op;
};
struct Node {
long long mx;
int idx;
int lazy;
};
Node tree[4*MAXN];
vector <Edge> v[MAXN];
pair <long long, int> par[MAXN];
long long one[MAXN], maxpath1[MAXN], maxpath2[MAXN];
long long ans[MAXN];
int vr1[MAXN], vr2[MAXN];
int in[MAXN], maxin[MAXN], idx[MAXN], cnt;
bool used[MAXN];
long long sumall, sum;
int n;
void get_sum(int x, int p) {
for (auto i:v[x]) {
if (i.to==p) continue;
sum+=i.op;
get_sum(i.to,x);
}
}
void find_one(int x, int p, long long cur_sum) {
one[x]=cur_sum;
ans[1]=max(ans[1],one[x]);
for (auto i:v[x]) {
if (i.to==p) continue;
find_one(i.to,x,cur_sum+i.pl-i.op);
}
}
void find_two(int x, int p) {
if (v[x].size()==1) maxpath1[x]=maxpath2[x]=one[x];
else maxpath1[x]=maxpath2[x]=0;
vr1[x]=vr2[x]=x;
for (auto i:v[x]) {
if (i.to==p) continue;
find_two(i.to,x);
long long s=i.pl+i.op;
if (maxpath1[i.to]+s>maxpath1[x]) {
maxpath2[x]=maxpath1[x];
vr2[x]=vr1[x];
maxpath1[x]=maxpath1[i.to]+s;
vr1[x]=vr1[i.to];
} else if (maxpath1[i.to]+s>maxpath2[x]) {
maxpath2[x]=maxpath1[i.to]+s;
vr2[x]=vr1[i.to];
}
}
}
void build_tree(int node, int l, int r) {
if (l==r) {
tree[node].idx=l;
return;
}
int mid=(l+r)/2;
build_tree(node*2,l,mid);
build_tree(node*2+1,mid+1,r);
tree[node].idx=tree[node*2].idx;
}
void push_lazy(int node, int l, int r) {
if (tree[node].lazy==0) return;
tree[node].mx+=tree[node].lazy;
if (l!=r) {
tree[node*2].lazy+=tree[node].lazy;
tree[node*2+1].lazy+=tree[node].lazy;
}
tree[node].lazy=0;
}
void update(int node, int l, int r, int ql, int qr, long long ch) {
push_lazy(node,l,r);
if (ql>r || qr<l) return;
if (l>=ql && r<=qr) {
tree[node].lazy+=ch;
push_lazy(node,l,r);
return;
}
int mid=(l+r)/2;
update(node*2,l,mid,ql,qr,ch);
update(node*2+1,mid+1,r,ql,qr,ch);
if (tree[node*2].mx>tree[node*2+1].mx) {
tree[node].mx=tree[node*2].mx;
tree[node].idx=tree[node*2].idx;
} else {
tree[node].mx=tree[node*2+1].mx;
tree[node].idx=tree[node*2+1].idx;
}
}
void precomp_dfs(int x, int p) {
cnt++;
in[x]=maxin[x]=cnt;
idx[cnt]=x;
for (auto i:v[x]) {
if (i.to==p) continue;
par[i.to]={x,i.pl};
precomp_dfs(i.to,x);
update(1,1,n,in[i.to],maxin[i.to],i.pl);
maxin[x]=maxin[i.to];
}
}
void update_path(int x) {
while (true) {
if (par[x].first==-1 || used[x]) return;
used[x]=true;
update(1,1,n,in[x],maxin[x],-par[x].second);
x=par[x].first;
}
}
void solve() {
if (n==2) {
ans[1]=max(v[1][0].pl,v[1][0].op);
ans[2]=v[1][0].pl+v[1][0].op;
return;
}
get_sum(1,-1);
find_one(1,-1,sum);
int root=-1;
for (int i=1;i<=n;i++) {
if (v[i].size()>1) {
root=i;
break;
}
}
find_two(root,-1);
int s1, s2;
for (int i=1;i<=n;i++) {
if (v[i].size()>1 && maxpath2[i]>0 && (maxpath1[i]+maxpath2[i])/2>ans[2]) {
ans[2]=(maxpath1[i]+maxpath2[i])/2;
s1=vr1[i];
s2=vr2[i];
root=i;
}
}
build_tree(1,1,n);
par[root]={-1,-1};
precomp_dfs(root,-1);
update_path(s1);
update_path(s2);
for (int i=3;i<=n;i++) {
int x=idx[tree[1].idx];
ans[i]=ans[i-1]+tree[1].mx;
if (tree[1].mx==0) continue;
update_path(x);
}
}
int main () {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int a, b;
long long c, d;
cin >> n;
for (int i=0;i<n-1;i++) {
cin >> a >> b >> c >> d;
v[a].push_back({b,c,d});
v[b].push_back({a,d,c});
sumall+=c+d;
}
solve();
int q;
cin >> q;
for (int i=0;i<q;i++) {
cin >> a;
cout << sumall-ans[a] << endl;
}
return 0;
}
Compilation message
designated_cities.cpp: In function 'void solve()':
designated_cities.cpp:146:16: warning: 's2' may be used uninitialized in this function [-Wmaybe-uninitialized]
146 | update_path(s2);
| ~~~~~~~~~~~^~~~
designated_cities.cpp:145:16: warning: 's1' may be used uninitialized in this function [-Wmaybe-uninitialized]
145 | update_path(s1);
| ~~~~~~~~~~~^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8536 KB |
Output is correct |
2 |
Correct |
2 ms |
12636 KB |
Output is correct |
3 |
Correct |
2 ms |
12636 KB |
Output is correct |
4 |
Correct |
3 ms |
12636 KB |
Output is correct |
5 |
Incorrect |
3 ms |
12636 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
8536 KB |
Output is correct |
2 |
Correct |
331 ms |
46680 KB |
Output is correct |
3 |
Correct |
399 ms |
61936 KB |
Output is correct |
4 |
Correct |
290 ms |
45272 KB |
Output is correct |
5 |
Correct |
304 ms |
46348 KB |
Output is correct |
6 |
Correct |
289 ms |
49076 KB |
Output is correct |
7 |
Correct |
316 ms |
45488 KB |
Output is correct |
8 |
Correct |
431 ms |
62480 KB |
Output is correct |
9 |
Correct |
285 ms |
46068 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
8536 KB |
Output is correct |
2 |
Correct |
332 ms |
46712 KB |
Output is correct |
3 |
Correct |
346 ms |
64612 KB |
Output is correct |
4 |
Correct |
334 ms |
45224 KB |
Output is correct |
5 |
Correct |
316 ms |
46360 KB |
Output is correct |
6 |
Correct |
321 ms |
49232 KB |
Output is correct |
7 |
Correct |
252 ms |
45304 KB |
Output is correct |
8 |
Correct |
371 ms |
56724 KB |
Output is correct |
9 |
Correct |
263 ms |
44740 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8536 KB |
Output is correct |
2 |
Correct |
2 ms |
12636 KB |
Output is correct |
3 |
Correct |
2 ms |
12636 KB |
Output is correct |
4 |
Correct |
3 ms |
12636 KB |
Output is correct |
5 |
Incorrect |
3 ms |
12636 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
8536 KB |
Output is correct |
2 |
Correct |
331 ms |
46680 KB |
Output is correct |
3 |
Correct |
399 ms |
61936 KB |
Output is correct |
4 |
Correct |
290 ms |
45272 KB |
Output is correct |
5 |
Correct |
304 ms |
46348 KB |
Output is correct |
6 |
Correct |
289 ms |
49076 KB |
Output is correct |
7 |
Correct |
316 ms |
45488 KB |
Output is correct |
8 |
Correct |
431 ms |
62480 KB |
Output is correct |
9 |
Correct |
285 ms |
46068 KB |
Output is correct |
10 |
Correct |
1 ms |
8536 KB |
Output is correct |
11 |
Correct |
332 ms |
46712 KB |
Output is correct |
12 |
Correct |
346 ms |
64612 KB |
Output is correct |
13 |
Correct |
334 ms |
45224 KB |
Output is correct |
14 |
Correct |
316 ms |
46360 KB |
Output is correct |
15 |
Correct |
321 ms |
49232 KB |
Output is correct |
16 |
Correct |
252 ms |
45304 KB |
Output is correct |
17 |
Correct |
371 ms |
56724 KB |
Output is correct |
18 |
Correct |
263 ms |
44740 KB |
Output is correct |
19 |
Correct |
2 ms |
8672 KB |
Output is correct |
20 |
Incorrect |
312 ms |
46676 KB |
Output isn't correct |
21 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8536 KB |
Output is correct |
2 |
Correct |
2 ms |
12636 KB |
Output is correct |
3 |
Correct |
2 ms |
12636 KB |
Output is correct |
4 |
Correct |
3 ms |
12636 KB |
Output is correct |
5 |
Incorrect |
3 ms |
12636 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |