#include "shortcut.h"
#include <bits/stdc++.h>
#define endl '\n'
#define here cerr<<"=========================================\n"
#define dbg(x) cerr<<#x<<": "<<x<<endl;
#define ll long long
#define pb push_back
#define popb pop_back
#define all(a_) a_.begin(),a_.end()
#define pll pair<ll,ll>
#define sc second
#define fi first
#define llinf 1000000000000000LL
#define ceri(a,l,r) {cerr<<#a<<": ";for(ll i = l;i<=r;i++) cerr<<a[i]<< " ";cerr<<endl;}
using namespace std;
#define maxn 2005
int n,tsz;
ll c;
vector<pair<int,ll> > g[maxn];
vector<int> cyc;
vector<ll> ps;
ll cyclen;
bool naso = 0;
bool inc[maxn];
ll len[maxn][maxn];
ll dept[maxn];
ll mx[maxn][2];
ll cur;
void dfs2(int u,int par){
mx[u][0] = mx[u][1] = -llinf;
if(g[u].size()==1) mx[u][0] = 0;
for(pair<int,ll> p : g[u]){
int s = p.fi;
ll w = p.sc;
if(inc[s]) continue;
if(s==par) continue;
dept[s] = dept[u] + w;
dfs2(s,u);
vector<ll> v;
v.pb(mx[s][0] + w);
v.pb(mx[s][0] + w);
v.pb(mx[u][0]);
v.pb(mx[u][1]);
cur = max(cur,mx[u][0] + mx[s][0] + w);
sort(all(v));
mx[u][0] = v[3];
mx[u][1] = v[2];
}
}
ll dis[maxn];
void dfs3(int u,int par){
for(pair<int,ll> p : g[u]){
ll s = p.fi;
ll w = len[u][s];
if(s==par) continue;
dis[s] = dis[u] + w;
dfs3(s,u);
}
}
ll naj(ll x){
for(ll i = 1;i<=tsz;i++) dis[i] = llinf;
dis[x] = 0;
dfs3(x,x);
ll ans = x;
for(ll i = 1;i<=tsz;i++) if(dis[i]>dis[ans]) ans = i;
return ans;
}
ll find_shortcut(int N, vector<int> L, vector<int> D, int C)
{
n = N;
tsz = n;
c = C;
for(int i = 0;i<n;i++) if(D[i]) tsz++;
for(int i = 1;i<n;i++){
g[i].pb({i+1,L[i-1]});
g[i+1].pb({i,L[i-1]});
len[i][i+1] = len[i+1][i] = L[i-1];
}
tsz = n;
for(int i = 1;i<=n;i++) if(D[i-1]){
g[i].pb({++tsz,D[i-1]});
g[tsz].pb({i,D[i-1]});
len[i][tsz] = len[tsz][i] = D[i-1];
}
ll ans = llinf;
for(int i = 1;i<=n;i++){
for(int j = i+2;j<=n;j++){
g[i].pb({j,c});
g[j].pb({i,c});
len[i][j] = len[j][i] = c;
cyclen = 0;
cyc.clear();
ps.clear();
ps.pb(0);
for(int k = i;k<=j;k++) cyc.pb(k),inc[k] = 1;
for(int k = 1;k<cyc.size();k++) ps.pb(ps[k-1] + len[cyc[k]][cyc[k-1]]);
cyclen = ps.back() + len[cyc[0]][cyc.back()];
ps.pb(cyclen);
for(int k = 1;k<cyc.size();k++) ps.pb(ps.back() + len[cyc[k]][cyc[k-1]]);
cur = 0;
int m = ps.size()-1;
for(int k = 0;k<cyc.size();k++){
ll y = cyc[k];
dfs2(y,y);
if(g[y].size()==2) mx[y][0] = 0;
}
int f = 0;
deque<pll> q;
for(int e = 0;e<cyc.size();e++){
while(f<ps.size()-1&&ps[f+1]-ps[e]<=cyclen/2){
f++;
ll val = mx[cyc[f%(cyc.size())]][0] + ps[f];
while(q.size()&&val>q.back().fi) q.popb();
q.pb({val,f});
}
if(q.size()) cur = max(cur,mx[cyc[e%(cyc.size())]][0] - ps[e] + q.front().fi);
if(q.front().sc==e+1) q.pop_front();
}
for(ll x : cyc) inc[x] = 0;
ans = min(ans,cur);
len[i][j] = len[j][i] = llinf;
g[i].popb();
g[j].popb();
}
}
for(int i = 1;i<n;i++){
len[i][i+1] = len[i+1][i] = min((ll)L[i-1],c);
int x = naj(1);
int y = naj(x);
ans = min(ans,dis[y]);
len[i][i+1] = len[i+1][i] = L[i-1];
}
return ans;
}
/**
4 10
10 20 20
0 40 0 30
9 30
10 10 10 10 10 10 10 10
20 0 30 0 0 40 0 40 0
3 3
1 1
1 1 1
5 1
1 1 1 1
0 0 0 0 0
**/
Compilation message
shortcut.cpp: In function 'long long int find_shortcut(int, std::vector<int>, std::vector<int>, int)':
shortcut.cpp:97:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
97 | for(int k = 1;k<cyc.size();k++) ps.pb(ps[k-1] + len[cyc[k]][cyc[k-1]]);
| ~^~~~~~~~~~~
shortcut.cpp:100:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
100 | for(int k = 1;k<cyc.size();k++) ps.pb(ps.back() + len[cyc[k]][cyc[k-1]]);
| ~^~~~~~~~~~~
shortcut.cpp:103:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
103 | for(int k = 0;k<cyc.size();k++){
| ~^~~~~~~~~~~
shortcut.cpp:110:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
110 | for(int e = 0;e<cyc.size();e++){
| ~^~~~~~~~~~~
shortcut.cpp:111:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
111 | while(f<ps.size()-1&&ps[f+1]-ps[e]<=cyclen/2){
| ~^~~~~~~~~~~~
shortcut.cpp:102:17: warning: unused variable 'm' [-Wunused-variable]
102 | int m = ps.size()-1;
| ^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
3 |
Correct |
1 ms |
340 KB |
n = 4, 21 is a correct answer |
4 |
Correct |
1 ms |
340 KB |
n = 3, 4 is a correct answer |
5 |
Correct |
0 ms |
340 KB |
n = 2, 62 is a correct answer |
6 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
7 |
Correct |
0 ms |
340 KB |
n = 3, 29 is a correct answer |
8 |
Correct |
0 ms |
340 KB |
n = 2, 3 is a correct answer |
9 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
10 |
Correct |
1 ms |
340 KB |
n = 2, 2000000001 is a correct answer |
11 |
Correct |
1 ms |
340 KB |
n = 2, 3000000000 is a correct answer |
12 |
Correct |
1 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
13 |
Correct |
0 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
14 |
Correct |
1 ms |
340 KB |
n = 4, 3000000001 is a correct answer |
15 |
Correct |
1 ms |
340 KB |
n = 4, 4000000000 is a correct answer |
16 |
Correct |
1 ms |
340 KB |
n = 5, 4000000000 is a correct answer |
17 |
Correct |
1 ms |
340 KB |
n = 10, 1000000343 is a correct answer |
18 |
Runtime error |
1 ms |
724 KB |
Execution killed with signal 11 |
19 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
3 |
Correct |
1 ms |
340 KB |
n = 4, 21 is a correct answer |
4 |
Correct |
1 ms |
340 KB |
n = 3, 4 is a correct answer |
5 |
Correct |
0 ms |
340 KB |
n = 2, 62 is a correct answer |
6 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
7 |
Correct |
0 ms |
340 KB |
n = 3, 29 is a correct answer |
8 |
Correct |
0 ms |
340 KB |
n = 2, 3 is a correct answer |
9 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
10 |
Correct |
1 ms |
340 KB |
n = 2, 2000000001 is a correct answer |
11 |
Correct |
1 ms |
340 KB |
n = 2, 3000000000 is a correct answer |
12 |
Correct |
1 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
13 |
Correct |
0 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
14 |
Correct |
1 ms |
340 KB |
n = 4, 3000000001 is a correct answer |
15 |
Correct |
1 ms |
340 KB |
n = 4, 4000000000 is a correct answer |
16 |
Correct |
1 ms |
340 KB |
n = 5, 4000000000 is a correct answer |
17 |
Correct |
1 ms |
340 KB |
n = 10, 1000000343 is a correct answer |
18 |
Runtime error |
1 ms |
724 KB |
Execution killed with signal 11 |
19 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
3 |
Correct |
1 ms |
340 KB |
n = 4, 21 is a correct answer |
4 |
Correct |
1 ms |
340 KB |
n = 3, 4 is a correct answer |
5 |
Correct |
0 ms |
340 KB |
n = 2, 62 is a correct answer |
6 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
7 |
Correct |
0 ms |
340 KB |
n = 3, 29 is a correct answer |
8 |
Correct |
0 ms |
340 KB |
n = 2, 3 is a correct answer |
9 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
10 |
Correct |
1 ms |
340 KB |
n = 2, 2000000001 is a correct answer |
11 |
Correct |
1 ms |
340 KB |
n = 2, 3000000000 is a correct answer |
12 |
Correct |
1 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
13 |
Correct |
0 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
14 |
Correct |
1 ms |
340 KB |
n = 4, 3000000001 is a correct answer |
15 |
Correct |
1 ms |
340 KB |
n = 4, 4000000000 is a correct answer |
16 |
Correct |
1 ms |
340 KB |
n = 5, 4000000000 is a correct answer |
17 |
Correct |
1 ms |
340 KB |
n = 10, 1000000343 is a correct answer |
18 |
Runtime error |
1 ms |
724 KB |
Execution killed with signal 11 |
19 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
3 |
Correct |
1 ms |
340 KB |
n = 4, 21 is a correct answer |
4 |
Correct |
1 ms |
340 KB |
n = 3, 4 is a correct answer |
5 |
Correct |
0 ms |
340 KB |
n = 2, 62 is a correct answer |
6 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
7 |
Correct |
0 ms |
340 KB |
n = 3, 29 is a correct answer |
8 |
Correct |
0 ms |
340 KB |
n = 2, 3 is a correct answer |
9 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
10 |
Correct |
1 ms |
340 KB |
n = 2, 2000000001 is a correct answer |
11 |
Correct |
1 ms |
340 KB |
n = 2, 3000000000 is a correct answer |
12 |
Correct |
1 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
13 |
Correct |
0 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
14 |
Correct |
1 ms |
340 KB |
n = 4, 3000000001 is a correct answer |
15 |
Correct |
1 ms |
340 KB |
n = 4, 4000000000 is a correct answer |
16 |
Correct |
1 ms |
340 KB |
n = 5, 4000000000 is a correct answer |
17 |
Correct |
1 ms |
340 KB |
n = 10, 1000000343 is a correct answer |
18 |
Runtime error |
1 ms |
724 KB |
Execution killed with signal 11 |
19 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
3 |
Correct |
1 ms |
340 KB |
n = 4, 21 is a correct answer |
4 |
Correct |
1 ms |
340 KB |
n = 3, 4 is a correct answer |
5 |
Correct |
0 ms |
340 KB |
n = 2, 62 is a correct answer |
6 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
7 |
Correct |
0 ms |
340 KB |
n = 3, 29 is a correct answer |
8 |
Correct |
0 ms |
340 KB |
n = 2, 3 is a correct answer |
9 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
10 |
Correct |
1 ms |
340 KB |
n = 2, 2000000001 is a correct answer |
11 |
Correct |
1 ms |
340 KB |
n = 2, 3000000000 is a correct answer |
12 |
Correct |
1 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
13 |
Correct |
0 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
14 |
Correct |
1 ms |
340 KB |
n = 4, 3000000001 is a correct answer |
15 |
Correct |
1 ms |
340 KB |
n = 4, 4000000000 is a correct answer |
16 |
Correct |
1 ms |
340 KB |
n = 5, 4000000000 is a correct answer |
17 |
Correct |
1 ms |
340 KB |
n = 10, 1000000343 is a correct answer |
18 |
Runtime error |
1 ms |
724 KB |
Execution killed with signal 11 |
19 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
3 |
Correct |
1 ms |
340 KB |
n = 4, 21 is a correct answer |
4 |
Correct |
1 ms |
340 KB |
n = 3, 4 is a correct answer |
5 |
Correct |
0 ms |
340 KB |
n = 2, 62 is a correct answer |
6 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
7 |
Correct |
0 ms |
340 KB |
n = 3, 29 is a correct answer |
8 |
Correct |
0 ms |
340 KB |
n = 2, 3 is a correct answer |
9 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
10 |
Correct |
1 ms |
340 KB |
n = 2, 2000000001 is a correct answer |
11 |
Correct |
1 ms |
340 KB |
n = 2, 3000000000 is a correct answer |
12 |
Correct |
1 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
13 |
Correct |
0 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
14 |
Correct |
1 ms |
340 KB |
n = 4, 3000000001 is a correct answer |
15 |
Correct |
1 ms |
340 KB |
n = 4, 4000000000 is a correct answer |
16 |
Correct |
1 ms |
340 KB |
n = 5, 4000000000 is a correct answer |
17 |
Correct |
1 ms |
340 KB |
n = 10, 1000000343 is a correct answer |
18 |
Runtime error |
1 ms |
724 KB |
Execution killed with signal 11 |
19 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
3 |
Correct |
1 ms |
340 KB |
n = 4, 21 is a correct answer |
4 |
Correct |
1 ms |
340 KB |
n = 3, 4 is a correct answer |
5 |
Correct |
0 ms |
340 KB |
n = 2, 62 is a correct answer |
6 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
7 |
Correct |
0 ms |
340 KB |
n = 3, 29 is a correct answer |
8 |
Correct |
0 ms |
340 KB |
n = 2, 3 is a correct answer |
9 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
10 |
Correct |
1 ms |
340 KB |
n = 2, 2000000001 is a correct answer |
11 |
Correct |
1 ms |
340 KB |
n = 2, 3000000000 is a correct answer |
12 |
Correct |
1 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
13 |
Correct |
0 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
14 |
Correct |
1 ms |
340 KB |
n = 4, 3000000001 is a correct answer |
15 |
Correct |
1 ms |
340 KB |
n = 4, 4000000000 is a correct answer |
16 |
Correct |
1 ms |
340 KB |
n = 5, 4000000000 is a correct answer |
17 |
Correct |
1 ms |
340 KB |
n = 10, 1000000343 is a correct answer |
18 |
Runtime error |
1 ms |
724 KB |
Execution killed with signal 11 |
19 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
3 |
Correct |
1 ms |
340 KB |
n = 4, 21 is a correct answer |
4 |
Correct |
1 ms |
340 KB |
n = 3, 4 is a correct answer |
5 |
Correct |
0 ms |
340 KB |
n = 2, 62 is a correct answer |
6 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
7 |
Correct |
0 ms |
340 KB |
n = 3, 29 is a correct answer |
8 |
Correct |
0 ms |
340 KB |
n = 2, 3 is a correct answer |
9 |
Correct |
1 ms |
340 KB |
n = 2, 3 is a correct answer |
10 |
Correct |
1 ms |
340 KB |
n = 2, 2000000001 is a correct answer |
11 |
Correct |
1 ms |
340 KB |
n = 2, 3000000000 is a correct answer |
12 |
Correct |
1 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
13 |
Correct |
0 ms |
340 KB |
n = 3, 3000000000 is a correct answer |
14 |
Correct |
1 ms |
340 KB |
n = 4, 3000000001 is a correct answer |
15 |
Correct |
1 ms |
340 KB |
n = 4, 4000000000 is a correct answer |
16 |
Correct |
1 ms |
340 KB |
n = 5, 4000000000 is a correct answer |
17 |
Correct |
1 ms |
340 KB |
n = 10, 1000000343 is a correct answer |
18 |
Runtime error |
1 ms |
724 KB |
Execution killed with signal 11 |
19 |
Halted |
0 ms |
0 KB |
- |