//#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int,int>
#define f first
#define s second
#define all(x) x.begin(),x.end()
#define _ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
void setIO(string s) {
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
const int mxn=2e5+5;
vector<pair<ll,pair<ll,ll>>> adj[mxn];
ll n,q;
vector<ll> ans(mxn);
map<pair<int,int>,int> mp;
vector<pair<ll,ll>> segtree(mxn*4);
vector<ll> lazy(mxn*4);
int st[mxn],en[mxn];
int rev[mxn];
bool used[mxn];
int par[mxn];
pair<ll,ll> w[mxn];
int cnt=1;
ll dp[mxn];
ll dp1[mxn];
ll dp2[mxn];
ll dp3[mxn];
ll dp4[mxn];
ll inf=1e18;
void push(int v){
segtree[v*2].f+=lazy[v];
segtree[v*2+1].f+=lazy[v];
lazy[v*2]+=lazy[v];
lazy[v*2+1]+=lazy[v];
lazy[v]=0;
}
void build(int l=1,int r=n,int v=1){
if(l==r){
segtree[v]={dp[rev[l]],rev[l]};
return;
}
int mid=(l+r)/2;
build(l,mid,v*2);
build(mid+1,r,v*2+1);
segtree[v]=max(segtree[v*2],segtree[v*2+1]);
}
void update(int tl,int tr,ll val,int l=1,int r=n,int v=1){
if(r<tl or tr<l){
return;
}
if(tl<=l and r<=tr){
segtree[v].f+=val;
lazy[v]+=val;
return;
}
push(v);
int mid=(l+r)/2;
update(tl,min(mid,tr),val,l,mid,v*2);
update(max(mid+1,tl),tr,val,mid+1,r,v*2+1);
segtree[v]=max(segtree[v*2],segtree[v*2+1]);
}
void dfs(int v,int p=-1,ll val=0){
par[v]=p;
dp[v]=val;
st[v]=cnt++;
rev[st[v]]=v;
for(auto u:adj[v]){
if(u.f==p) continue;
w[u.f]={u.s.f,u.s.s};
if(mp.count({u.f,v})) dfs(u.f,v,val+u.s.s);
else dfs(u.f,v,val+u.s.f);
}
en[v]=cnt-1;
}
void dfs1(int v,int p=-1){
for(auto u:adj[v]){
if(u.f==p) continue;
dfs1(u.f,v);
dp1[v]+=dp1[u.f];
if(mp.count({u.f,v})) dp1[v]+=u.s.f;
else dp1[v]+=u.s.s;
}
}
void dfs2(int v,int p=-1,ll val=0){
dp2[v]=dp1[v]+val;
for(auto u:adj[v]){
if(u.f==p) continue;
ll sum=dp2[v];
if(mp.count({u.f,v})){
sum-=u.s.f+dp1[u.f];
sum+=u.s.s;
}
else{
sum-=u.s.s+dp1[u.f];
sum+=u.s.f;
}
dfs2(u.f,v,sum);
}
}
void dfs3(int v,int p=-1){
for(auto u:adj[v]){
if(u.f==p) continue;
dfs3(u.f,v);
if(mp.count({u.f,v})){
dp3[v]=max(dp3[v],dp3[u.f]+u.s.s);
}
else{
dp3[v]=max(dp3[v],dp3[u.f]+u.s.f);
}
}
}
void dfs4(int v,int p=-1,ll val=0){
dp4[v]=dp2[v]+max(dp3[v],val);
multiset<ll> S;
for(auto u:adj[v]){
if(u.f==p) continue;
if(mp.count({u.f,v})){
S.insert(u.s.s+dp3[u.f]);
}
else{
S.insert(u.s.f+dp3[u.f]);
}
}
for(auto u:adj[v]){
if(u.f==p) continue;
if(mp.count({u.f,v})){
S.erase(S.find(u.s.s+dp3[u.f]));
}
else{
S.erase(S.find(u.s.f+dp3[u.f]));
}
ll mx=val;
if(!S.empty()){
mx=max(mx,*S.rbegin());
}
if(mp.count({u.f,v})){
mx+=u.s.f;
}
else{
mx+=u.s.s;
}
if(mp.count({u.f,v})){
S.insert(u.s.s+dp3[u.f]);
}
else{
S.insert(u.s.f+dp3[u.f]);
}
dfs4(u.f,v,mx);
}
}
ll cal1(){
dfs1(1);
dfs2(1);
return *max_element(dp2+1,dp2+n+1);
}
ll cal2(){
dfs3(1);
dfs4(1);
return max_element(dp4+1,dp4+n+1)-dp4;
}
int main() {_
cin>>n;
ll sum=0;
for(int i=0;i<n-1;i++){
ll a,b,c,d;
cin>>a>>b>>c>>d;
adj[a].push_back({b,{c,d}});
adj[b].push_back({a,{c,d}});
mp[{a,b}]=1;
sum+=c;
sum+=d;
}
ans[1]=sum-cal1();
int root=cal2();
dfs(root);
build();
ll cur=dp2[root];
//cout<<root<<'\n';
for(int i=2;i<=n;i++){
auto tmp=segtree[1];
cur+=tmp.f;
ans[i]=sum-cur;
int v=tmp.s;
//cout<<tmp.f<<' '<<tmp.s<<'\n';
while(!used[v] and par[v]!=-1){
used[v]=true;
if(mp.count({v,par[v]})){
update(st[v],en[v],-w[v].s);
}
else{
update(st[v],en[v],-w[v].f);
}
v=par[v];
}
}
cin>>q;
for(int i=0;i<q;i++){
int x;
cin>>x;
cout<<ans[x]<<'\n';
}
return 0;
}
//maybe its multiset not set
Compilation message
designated_cities.cpp: In function 'void setIO(std::string)':
designated_cities.cpp:12:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
12 | freopen((s + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
designated_cities.cpp:13:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
13 | freopen((s + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
33368 KB |
Output is correct |
2 |
Correct |
6 ms |
33368 KB |
Output is correct |
3 |
Correct |
6 ms |
33372 KB |
Output is correct |
4 |
Correct |
6 ms |
33372 KB |
Output is correct |
5 |
Correct |
6 ms |
33372 KB |
Output is correct |
6 |
Correct |
6 ms |
33476 KB |
Output is correct |
7 |
Correct |
6 ms |
33372 KB |
Output is correct |
8 |
Correct |
6 ms |
33484 KB |
Output is correct |
9 |
Correct |
6 ms |
33372 KB |
Output is correct |
10 |
Correct |
6 ms |
33412 KB |
Output is correct |
11 |
Correct |
6 ms |
33372 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
33624 KB |
Output is correct |
2 |
Correct |
1109 ms |
69004 KB |
Output is correct |
3 |
Correct |
1144 ms |
106896 KB |
Output is correct |
4 |
Correct |
1045 ms |
68176 KB |
Output is correct |
5 |
Correct |
1101 ms |
70340 KB |
Output is correct |
6 |
Correct |
1136 ms |
75860 KB |
Output is correct |
7 |
Correct |
1092 ms |
72964 KB |
Output is correct |
8 |
Correct |
1229 ms |
108652 KB |
Output is correct |
9 |
Correct |
1043 ms |
75516 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
33372 KB |
Output is correct |
2 |
Correct |
1118 ms |
69088 KB |
Output is correct |
3 |
Correct |
1173 ms |
113236 KB |
Output is correct |
4 |
Correct |
1046 ms |
68716 KB |
Output is correct |
5 |
Correct |
1113 ms |
70264 KB |
Output is correct |
6 |
Correct |
1134 ms |
76412 KB |
Output is correct |
7 |
Correct |
1084 ms |
76560 KB |
Output is correct |
8 |
Correct |
1196 ms |
95272 KB |
Output is correct |
9 |
Correct |
1046 ms |
74444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
33368 KB |
Output is correct |
2 |
Correct |
6 ms |
33368 KB |
Output is correct |
3 |
Correct |
6 ms |
33372 KB |
Output is correct |
4 |
Correct |
6 ms |
33372 KB |
Output is correct |
5 |
Correct |
6 ms |
33372 KB |
Output is correct |
6 |
Correct |
6 ms |
33476 KB |
Output is correct |
7 |
Correct |
6 ms |
33372 KB |
Output is correct |
8 |
Correct |
6 ms |
33484 KB |
Output is correct |
9 |
Correct |
6 ms |
33372 KB |
Output is correct |
10 |
Correct |
6 ms |
33412 KB |
Output is correct |
11 |
Correct |
6 ms |
33372 KB |
Output is correct |
12 |
Correct |
6 ms |
33372 KB |
Output is correct |
13 |
Correct |
9 ms |
33916 KB |
Output is correct |
14 |
Correct |
10 ms |
33972 KB |
Output is correct |
15 |
Correct |
9 ms |
33820 KB |
Output is correct |
16 |
Correct |
10 ms |
33892 KB |
Output is correct |
17 |
Correct |
10 ms |
33884 KB |
Output is correct |
18 |
Correct |
9 ms |
33828 KB |
Output is correct |
19 |
Correct |
10 ms |
33884 KB |
Output is correct |
20 |
Correct |
10 ms |
33884 KB |
Output is correct |
21 |
Correct |
10 ms |
33752 KB |
Output is correct |
22 |
Correct |
10 ms |
33884 KB |
Output is correct |
23 |
Correct |
10 ms |
33884 KB |
Output is correct |
24 |
Correct |
9 ms |
33884 KB |
Output is correct |
25 |
Correct |
10 ms |
34164 KB |
Output is correct |
26 |
Correct |
10 ms |
34136 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
33624 KB |
Output is correct |
2 |
Correct |
1109 ms |
69004 KB |
Output is correct |
3 |
Correct |
1144 ms |
106896 KB |
Output is correct |
4 |
Correct |
1045 ms |
68176 KB |
Output is correct |
5 |
Correct |
1101 ms |
70340 KB |
Output is correct |
6 |
Correct |
1136 ms |
75860 KB |
Output is correct |
7 |
Correct |
1092 ms |
72964 KB |
Output is correct |
8 |
Correct |
1229 ms |
108652 KB |
Output is correct |
9 |
Correct |
1043 ms |
75516 KB |
Output is correct |
10 |
Correct |
7 ms |
33372 KB |
Output is correct |
11 |
Correct |
1118 ms |
69088 KB |
Output is correct |
12 |
Correct |
1173 ms |
113236 KB |
Output is correct |
13 |
Correct |
1046 ms |
68716 KB |
Output is correct |
14 |
Correct |
1113 ms |
70264 KB |
Output is correct |
15 |
Correct |
1134 ms |
76412 KB |
Output is correct |
16 |
Correct |
1084 ms |
76560 KB |
Output is correct |
17 |
Correct |
1196 ms |
95272 KB |
Output is correct |
18 |
Correct |
1046 ms |
74444 KB |
Output is correct |
19 |
Correct |
6 ms |
33372 KB |
Output is correct |
20 |
Correct |
1128 ms |
69072 KB |
Output is correct |
21 |
Correct |
1174 ms |
116808 KB |
Output is correct |
22 |
Correct |
1077 ms |
70500 KB |
Output is correct |
23 |
Correct |
1097 ms |
72024 KB |
Output is correct |
24 |
Correct |
1112 ms |
71252 KB |
Output is correct |
25 |
Correct |
1093 ms |
72240 KB |
Output is correct |
26 |
Correct |
1100 ms |
70904 KB |
Output is correct |
27 |
Correct |
1174 ms |
73156 KB |
Output is correct |
28 |
Correct |
1146 ms |
78436 KB |
Output is correct |
29 |
Correct |
1072 ms |
72788 KB |
Output is correct |
30 |
Correct |
1100 ms |
72048 KB |
Output is correct |
31 |
Correct |
1126 ms |
76368 KB |
Output is correct |
32 |
Correct |
1226 ms |
100432 KB |
Output is correct |
33 |
Correct |
1123 ms |
77560 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
33368 KB |
Output is correct |
2 |
Correct |
6 ms |
33368 KB |
Output is correct |
3 |
Correct |
6 ms |
33372 KB |
Output is correct |
4 |
Correct |
6 ms |
33372 KB |
Output is correct |
5 |
Correct |
6 ms |
33372 KB |
Output is correct |
6 |
Correct |
6 ms |
33476 KB |
Output is correct |
7 |
Correct |
6 ms |
33372 KB |
Output is correct |
8 |
Correct |
6 ms |
33484 KB |
Output is correct |
9 |
Correct |
6 ms |
33372 KB |
Output is correct |
10 |
Correct |
6 ms |
33412 KB |
Output is correct |
11 |
Correct |
6 ms |
33372 KB |
Output is correct |
12 |
Correct |
6 ms |
33624 KB |
Output is correct |
13 |
Correct |
1109 ms |
69004 KB |
Output is correct |
14 |
Correct |
1144 ms |
106896 KB |
Output is correct |
15 |
Correct |
1045 ms |
68176 KB |
Output is correct |
16 |
Correct |
1101 ms |
70340 KB |
Output is correct |
17 |
Correct |
1136 ms |
75860 KB |
Output is correct |
18 |
Correct |
1092 ms |
72964 KB |
Output is correct |
19 |
Correct |
1229 ms |
108652 KB |
Output is correct |
20 |
Correct |
1043 ms |
75516 KB |
Output is correct |
21 |
Correct |
7 ms |
33372 KB |
Output is correct |
22 |
Correct |
1118 ms |
69088 KB |
Output is correct |
23 |
Correct |
1173 ms |
113236 KB |
Output is correct |
24 |
Correct |
1046 ms |
68716 KB |
Output is correct |
25 |
Correct |
1113 ms |
70264 KB |
Output is correct |
26 |
Correct |
1134 ms |
76412 KB |
Output is correct |
27 |
Correct |
1084 ms |
76560 KB |
Output is correct |
28 |
Correct |
1196 ms |
95272 KB |
Output is correct |
29 |
Correct |
1046 ms |
74444 KB |
Output is correct |
30 |
Correct |
6 ms |
33372 KB |
Output is correct |
31 |
Correct |
9 ms |
33916 KB |
Output is correct |
32 |
Correct |
10 ms |
33972 KB |
Output is correct |
33 |
Correct |
9 ms |
33820 KB |
Output is correct |
34 |
Correct |
10 ms |
33892 KB |
Output is correct |
35 |
Correct |
10 ms |
33884 KB |
Output is correct |
36 |
Correct |
9 ms |
33828 KB |
Output is correct |
37 |
Correct |
10 ms |
33884 KB |
Output is correct |
38 |
Correct |
10 ms |
33884 KB |
Output is correct |
39 |
Correct |
10 ms |
33752 KB |
Output is correct |
40 |
Correct |
10 ms |
33884 KB |
Output is correct |
41 |
Correct |
10 ms |
33884 KB |
Output is correct |
42 |
Correct |
9 ms |
33884 KB |
Output is correct |
43 |
Correct |
10 ms |
34164 KB |
Output is correct |
44 |
Correct |
10 ms |
34136 KB |
Output is correct |
45 |
Correct |
6 ms |
33372 KB |
Output is correct |
46 |
Correct |
1128 ms |
69072 KB |
Output is correct |
47 |
Correct |
1174 ms |
116808 KB |
Output is correct |
48 |
Correct |
1077 ms |
70500 KB |
Output is correct |
49 |
Correct |
1097 ms |
72024 KB |
Output is correct |
50 |
Correct |
1112 ms |
71252 KB |
Output is correct |
51 |
Correct |
1093 ms |
72240 KB |
Output is correct |
52 |
Correct |
1100 ms |
70904 KB |
Output is correct |
53 |
Correct |
1174 ms |
73156 KB |
Output is correct |
54 |
Correct |
1146 ms |
78436 KB |
Output is correct |
55 |
Correct |
1072 ms |
72788 KB |
Output is correct |
56 |
Correct |
1100 ms |
72048 KB |
Output is correct |
57 |
Correct |
1126 ms |
76368 KB |
Output is correct |
58 |
Correct |
1226 ms |
100432 KB |
Output is correct |
59 |
Correct |
1123 ms |
77560 KB |
Output is correct |
60 |
Correct |
6 ms |
33368 KB |
Output is correct |
61 |
Correct |
1181 ms |
74312 KB |
Output is correct |
62 |
Correct |
1177 ms |
112100 KB |
Output is correct |
63 |
Correct |
1072 ms |
73116 KB |
Output is correct |
64 |
Correct |
1129 ms |
74644 KB |
Output is correct |
65 |
Correct |
1119 ms |
73292 KB |
Output is correct |
66 |
Correct |
1183 ms |
74736 KB |
Output is correct |
67 |
Correct |
1164 ms |
73520 KB |
Output is correct |
68 |
Correct |
1153 ms |
75704 KB |
Output is correct |
69 |
Correct |
1158 ms |
80212 KB |
Output is correct |
70 |
Correct |
1078 ms |
75508 KB |
Output is correct |
71 |
Correct |
1093 ms |
75036 KB |
Output is correct |
72 |
Correct |
1112 ms |
79380 KB |
Output is correct |
73 |
Correct |
1231 ms |
98156 KB |
Output is correct |
74 |
Correct |
1125 ms |
81640 KB |
Output is correct |