#include<bits/stdc++.h>
using namespace std;
#define int long long
#define F first
#define S second
#define all(x) x.begin(),x.end()
#define pii pair<int,int>
#define pb push_back
#define sz(x) (int)(x.size())
#define chmin(x,y) x=min(x,y)
#define chmax(x,y) x=max(x,y)
#define vi vector<int>
#define vp vector<pii>
#define vvi vector<vi>
#define ykh mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count())
#define __lg(x) 63-__builtin_clzll(x)
#define pow2(x) (1LL<<x)
void __print(int x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifdef local
void setio(){freopen("/Users/iantsai/Library/Mobile Documents/com~apple~CloudDocs/cpp/Empty.md","r",stdin);}
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
void setio(){}
#define debug(x...)
#endif
void setIO(string s) {
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
struct line{
int a,b;
int operator()(const int x)const{
return a*x+b;
}
};
bool check(line l1,line l2,line l3){
return (l3.b-l2.b)*(l1.a-l2.a)<=(l2.b-l1.b)*(l2.a-l3.a);
}
const int mxn=2e5+5;
vector<tuple<int,int,int>>adj[mxn];
int dp[mxn][2];
pii dp2[mxn];
int dep[mxn];
int p1;
void dfs(int v,int pa){
for(auto [u,d,d2]:adj[v]){
if(u==pa)continue;
dp[u][0]+=dp[v][0]+d;
dep[u]=dep[v]+d;
dfs(u,v);
dp[v][1]+=d2+dp[u][1];
}
}
int all;
int ans[mxn];
void calc(int v,int pa){
int mx=0;
dp2[v].F=dep[v];
dp2[v].S=v;
int t1=0;
for(auto [u,d,d2]:adj[v]){
if(u==pa)continue;
dp[u][1]+=dp[v][1]-dp[u][1]-d2;
calc(u,v);
if(dp2[v].F+dp2[u].F-2*dep[v]>mx){
t1=dp2[v].S;
mx=dp2[v].F+dp2[u].F-2*dep[v];
}
dp2[v]=max(dp2[v],dp2[u]);
}
ans[1]=min(ans[1],all-dp[v][0]-dp[v][1]);
if(ans[2]>all-dp[v][0]-dp[v][1]-mx){
p1=t1;
ans[2]=all-dp[v][0]-dp[v][1]-mx;
}
}
int len[mxn];
int idx;
int dfs2(int v,int pa){
vector<int>temp;
for(auto [u,d,d2]:adj[v]){
if(u==pa)continue;
temp.pb(dfs2(u,v)+d);
}
if(sz(temp)==0)return 0;
auto it=max_element(temp.begin(),temp.end());
for(auto it2=temp.begin();it2!=temp.end();it2++){
if(it2==it)continue;
len[idx++]=*it2;
}
return *it;
}
signed main(){
setio();
ios::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
int n;
cin>>n;
ans[2]=1e18;
ans[1]=1e18;
for(int i=1;i<n;i++){
int a,b,c,d;
cin>>a>>b>>c>>d;
adj[a].pb({b,c,d});
adj[b].pb({a,d,c});
all+=c+d;
}
dfs(1,1);
calc(1,1);
int v=dfs2(p1,p1);
len[idx++]=v;
sort(len,len+idx,greater<int>());
for(int i=1;i<idx;i++){
ans[2+i]=ans[1+i]-len[i];
}
int q;
cin>>q;
while(q--){
int x;
cin>>x;
cout<<ans[x]<<'\n';
}
}
/*
input:
*/
Compilation message
designated_cities.cpp: In function 'void setIO(std::string)':
designated_cities.cpp:42:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
42 | freopen((s + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
designated_cities.cpp:43:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
43 | freopen((s + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
11840 KB |
Output is correct |
2 |
Correct |
2 ms |
11612 KB |
Output is correct |
3 |
Correct |
3 ms |
11612 KB |
Output is correct |
4 |
Correct |
2 ms |
11612 KB |
Output is correct |
5 |
Correct |
2 ms |
11612 KB |
Output is correct |
6 |
Correct |
2 ms |
11612 KB |
Output is correct |
7 |
Correct |
2 ms |
11608 KB |
Output is correct |
8 |
Correct |
2 ms |
11612 KB |
Output is correct |
9 |
Correct |
3 ms |
11844 KB |
Output is correct |
10 |
Correct |
2 ms |
11612 KB |
Output is correct |
11 |
Correct |
3 ms |
11612 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
11608 KB |
Output is correct |
2 |
Correct |
195 ms |
29220 KB |
Output is correct |
3 |
Correct |
231 ms |
50740 KB |
Output is correct |
4 |
Correct |
169 ms |
29012 KB |
Output is correct |
5 |
Correct |
185 ms |
29644 KB |
Output is correct |
6 |
Correct |
187 ms |
32084 KB |
Output is correct |
7 |
Correct |
173 ms |
30024 KB |
Output is correct |
8 |
Correct |
257 ms |
50004 KB |
Output is correct |
9 |
Correct |
107 ms |
30456 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
11612 KB |
Output is correct |
2 |
Correct |
178 ms |
29208 KB |
Output is correct |
3 |
Correct |
253 ms |
51136 KB |
Output is correct |
4 |
Correct |
189 ms |
29160 KB |
Output is correct |
5 |
Correct |
169 ms |
29764 KB |
Output is correct |
6 |
Correct |
192 ms |
33028 KB |
Output is correct |
7 |
Correct |
117 ms |
32244 KB |
Output is correct |
8 |
Correct |
257 ms |
43344 KB |
Output is correct |
9 |
Correct |
107 ms |
30456 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
11840 KB |
Output is correct |
2 |
Correct |
2 ms |
11612 KB |
Output is correct |
3 |
Correct |
3 ms |
11612 KB |
Output is correct |
4 |
Correct |
2 ms |
11612 KB |
Output is correct |
5 |
Correct |
2 ms |
11612 KB |
Output is correct |
6 |
Correct |
2 ms |
11612 KB |
Output is correct |
7 |
Correct |
2 ms |
11608 KB |
Output is correct |
8 |
Correct |
2 ms |
11612 KB |
Output is correct |
9 |
Correct |
3 ms |
11844 KB |
Output is correct |
10 |
Correct |
2 ms |
11612 KB |
Output is correct |
11 |
Correct |
3 ms |
11612 KB |
Output is correct |
12 |
Correct |
2 ms |
11608 KB |
Output is correct |
13 |
Correct |
3 ms |
11868 KB |
Output is correct |
14 |
Correct |
3 ms |
12124 KB |
Output is correct |
15 |
Correct |
3 ms |
11868 KB |
Output is correct |
16 |
Correct |
3 ms |
11868 KB |
Output is correct |
17 |
Correct |
4 ms |
11868 KB |
Output is correct |
18 |
Correct |
4 ms |
11868 KB |
Output is correct |
19 |
Correct |
3 ms |
11864 KB |
Output is correct |
20 |
Correct |
4 ms |
11868 KB |
Output is correct |
21 |
Correct |
3 ms |
11868 KB |
Output is correct |
22 |
Correct |
4 ms |
11868 KB |
Output is correct |
23 |
Correct |
4 ms |
11868 KB |
Output is correct |
24 |
Correct |
3 ms |
11868 KB |
Output is correct |
25 |
Correct |
4 ms |
12124 KB |
Output is correct |
26 |
Correct |
3 ms |
11868 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
11608 KB |
Output is correct |
2 |
Correct |
195 ms |
29220 KB |
Output is correct |
3 |
Correct |
231 ms |
50740 KB |
Output is correct |
4 |
Correct |
169 ms |
29012 KB |
Output is correct |
5 |
Correct |
185 ms |
29644 KB |
Output is correct |
6 |
Correct |
187 ms |
32084 KB |
Output is correct |
7 |
Correct |
173 ms |
30024 KB |
Output is correct |
8 |
Correct |
257 ms |
50004 KB |
Output is correct |
9 |
Correct |
107 ms |
30456 KB |
Output is correct |
10 |
Correct |
2 ms |
11612 KB |
Output is correct |
11 |
Correct |
178 ms |
29208 KB |
Output is correct |
12 |
Correct |
253 ms |
51136 KB |
Output is correct |
13 |
Correct |
189 ms |
29160 KB |
Output is correct |
14 |
Correct |
169 ms |
29764 KB |
Output is correct |
15 |
Correct |
192 ms |
33028 KB |
Output is correct |
16 |
Correct |
117 ms |
32244 KB |
Output is correct |
17 |
Correct |
257 ms |
43344 KB |
Output is correct |
18 |
Correct |
107 ms |
30456 KB |
Output is correct |
19 |
Correct |
2 ms |
11612 KB |
Output is correct |
20 |
Correct |
216 ms |
28980 KB |
Output is correct |
21 |
Correct |
249 ms |
50960 KB |
Output is correct |
22 |
Correct |
165 ms |
29012 KB |
Output is correct |
23 |
Correct |
196 ms |
29516 KB |
Output is correct |
24 |
Correct |
198 ms |
29512 KB |
Output is correct |
25 |
Correct |
201 ms |
29520 KB |
Output is correct |
26 |
Correct |
182 ms |
29424 KB |
Output is correct |
27 |
Correct |
213 ms |
29720 KB |
Output is correct |
28 |
Correct |
258 ms |
32212 KB |
Output is correct |
29 |
Correct |
176 ms |
29780 KB |
Output is correct |
30 |
Correct |
176 ms |
29704 KB |
Output is correct |
31 |
Correct |
137 ms |
29696 KB |
Output is correct |
32 |
Correct |
247 ms |
43860 KB |
Output is correct |
33 |
Correct |
113 ms |
30716 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
11840 KB |
Output is correct |
2 |
Correct |
2 ms |
11612 KB |
Output is correct |
3 |
Correct |
3 ms |
11612 KB |
Output is correct |
4 |
Correct |
2 ms |
11612 KB |
Output is correct |
5 |
Correct |
2 ms |
11612 KB |
Output is correct |
6 |
Correct |
2 ms |
11612 KB |
Output is correct |
7 |
Correct |
2 ms |
11608 KB |
Output is correct |
8 |
Correct |
2 ms |
11612 KB |
Output is correct |
9 |
Correct |
3 ms |
11844 KB |
Output is correct |
10 |
Correct |
2 ms |
11612 KB |
Output is correct |
11 |
Correct |
3 ms |
11612 KB |
Output is correct |
12 |
Correct |
2 ms |
11608 KB |
Output is correct |
13 |
Correct |
195 ms |
29220 KB |
Output is correct |
14 |
Correct |
231 ms |
50740 KB |
Output is correct |
15 |
Correct |
169 ms |
29012 KB |
Output is correct |
16 |
Correct |
185 ms |
29644 KB |
Output is correct |
17 |
Correct |
187 ms |
32084 KB |
Output is correct |
18 |
Correct |
173 ms |
30024 KB |
Output is correct |
19 |
Correct |
257 ms |
50004 KB |
Output is correct |
20 |
Correct |
107 ms |
30456 KB |
Output is correct |
21 |
Correct |
2 ms |
11612 KB |
Output is correct |
22 |
Correct |
178 ms |
29208 KB |
Output is correct |
23 |
Correct |
253 ms |
51136 KB |
Output is correct |
24 |
Correct |
189 ms |
29160 KB |
Output is correct |
25 |
Correct |
169 ms |
29764 KB |
Output is correct |
26 |
Correct |
192 ms |
33028 KB |
Output is correct |
27 |
Correct |
117 ms |
32244 KB |
Output is correct |
28 |
Correct |
257 ms |
43344 KB |
Output is correct |
29 |
Correct |
107 ms |
30456 KB |
Output is correct |
30 |
Correct |
2 ms |
11608 KB |
Output is correct |
31 |
Correct |
3 ms |
11868 KB |
Output is correct |
32 |
Correct |
3 ms |
12124 KB |
Output is correct |
33 |
Correct |
3 ms |
11868 KB |
Output is correct |
34 |
Correct |
3 ms |
11868 KB |
Output is correct |
35 |
Correct |
4 ms |
11868 KB |
Output is correct |
36 |
Correct |
4 ms |
11868 KB |
Output is correct |
37 |
Correct |
3 ms |
11864 KB |
Output is correct |
38 |
Correct |
4 ms |
11868 KB |
Output is correct |
39 |
Correct |
3 ms |
11868 KB |
Output is correct |
40 |
Correct |
4 ms |
11868 KB |
Output is correct |
41 |
Correct |
4 ms |
11868 KB |
Output is correct |
42 |
Correct |
3 ms |
11868 KB |
Output is correct |
43 |
Correct |
4 ms |
12124 KB |
Output is correct |
44 |
Correct |
3 ms |
11868 KB |
Output is correct |
45 |
Correct |
2 ms |
11612 KB |
Output is correct |
46 |
Correct |
216 ms |
28980 KB |
Output is correct |
47 |
Correct |
249 ms |
50960 KB |
Output is correct |
48 |
Correct |
165 ms |
29012 KB |
Output is correct |
49 |
Correct |
196 ms |
29516 KB |
Output is correct |
50 |
Correct |
198 ms |
29512 KB |
Output is correct |
51 |
Correct |
201 ms |
29520 KB |
Output is correct |
52 |
Correct |
182 ms |
29424 KB |
Output is correct |
53 |
Correct |
213 ms |
29720 KB |
Output is correct |
54 |
Correct |
258 ms |
32212 KB |
Output is correct |
55 |
Correct |
176 ms |
29780 KB |
Output is correct |
56 |
Correct |
176 ms |
29704 KB |
Output is correct |
57 |
Correct |
137 ms |
29696 KB |
Output is correct |
58 |
Correct |
247 ms |
43860 KB |
Output is correct |
59 |
Correct |
113 ms |
30716 KB |
Output is correct |
60 |
Correct |
2 ms |
11612 KB |
Output is correct |
61 |
Correct |
213 ms |
30548 KB |
Output is correct |
62 |
Correct |
260 ms |
51476 KB |
Output is correct |
63 |
Correct |
206 ms |
30460 KB |
Output is correct |
64 |
Correct |
214 ms |
30820 KB |
Output is correct |
65 |
Correct |
198 ms |
30636 KB |
Output is correct |
66 |
Correct |
209 ms |
30876 KB |
Output is correct |
67 |
Correct |
206 ms |
30476 KB |
Output is correct |
68 |
Correct |
218 ms |
31048 KB |
Output is correct |
69 |
Correct |
236 ms |
33632 KB |
Output is correct |
70 |
Correct |
205 ms |
31056 KB |
Output is correct |
71 |
Correct |
207 ms |
31092 KB |
Output is correct |
72 |
Correct |
178 ms |
31876 KB |
Output is correct |
73 |
Correct |
272 ms |
44944 KB |
Output is correct |
74 |
Correct |
143 ms |
33516 KB |
Output is correct |