#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 505
#define lg 9
ll n,c,tsz;
vector<pll> g[maxn];
vector<ll> cyc,ps,curr;
ll cyclen;
bool naso = 0;
bool inc[maxn];
bool vis[maxn];
ll len[maxn][maxn];
void dfs(ll u,ll par){
vis[u] = 1;
curr.pb(u);
inc[u] = 1;
for(pll p : g[u]){
ll s = p.fi;
ll w = p.sc;
if(s==par) continue;
if(inc[s]){
while(curr.size()){
cyc.pb(curr.back());
curr.popb();
if(cyc.back()==s) break;
}
for(ll x : curr) inc[x] = 0;
naso = 1;
return;
}
dfs(s,u);
if(naso) return;
}
inc[u] = 0;
curr.popb();
}
ll id[maxn];
ll in[maxn],out[maxn];
ll st[maxn][lg];
ll dept[maxn];
ll ti = 0;
void dfs2(ll u,ll par,ll poc){
id[u] = poc;
st[u][0] = par;
in[u] = ++ti;
for(pll p : g[u]){
ll s = p.fi;
ll w = p.sc;
if(s==par) continue;
dept[s] = dept[u] + w;
dfs2(s,u,poc);
}
out[u] = ti-1;
}
bool intree(ll x,ll y){return in[y]<=in[x]&&out[y]>=out[x];}
ll lca(ll x,ll y){
if(intree(x,y)) return y;
if(intree(y,x)) return x;
for(ll j = lg-1;j>=0;j--){
if(!intree(x,st[y][j])) y = st[y][j];
}
return st[y][0];
}
ll dis[maxn];
void dfs3(ll u,ll par){
for(pll 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(ll i = 1;i<=2*n;i++) for(ll j = 1;j<=2*n;j++) len[i][j] = llinf;
for(ll 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];
}
for(ll 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(ll i = 1;i<=n;i++){
for(ll j = i+2;j<=n;j++){
g[i].pb({j,c});
g[j].pb({i,c});
len[i][j] = len[j][i] = c;
for(ll k = 1;k<=tsz;k++) vis[k] = inc[k] = id[k] = in[k] = out[k] = dept[k] = 0;
cyclen = 0;
naso = 0;
cyc.clear();
curr.clear();
dfs(1,1);
ps.clear();
ps.pb(0);
for(ll 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()];
for(ll k = 0;k<cyc.size();k++){
ll y = cyc[k];
st[y][0] = y;
for(pll p : g[y]){
ll s = p.fi;
ll w = p.sc;
if(inc[s]) continue;
dept[s] = w;
dfs2(s,y,k);
}
}
for(ll e = 1;e<lg;e++) for(ll k = 1;k<=tsz;k++) st[k][e] = st[st[k][e-1]][e-1];
vector<ll> lif;
for(ll k = 1;k<=tsz;k++) if(g[k].size()==1) lif.pb(k);
ll cur = cyclen;
for(ll e = 0;e<lif.size();e++){
for(ll f = e+1;f<lif.size();f++){
ll x = lif[e],y = lif[f];
ll idx = id[x],idy = id[y];
if(idx<idy) swap(idx,idy);
ll r = ps[idx] - ps[idy];
if(idx==idy) cur = max(cur,dept[x]+dept[y]-2*dept[lca(x,y)]);
else cur = max(cur,dept[x] + dept[y] + min(cyclen-r,r));
}
}
ans = min(ans,cur);
len[i][j] = len[j][i] = llinf;
g[i].popb();
g[j].popb();
}
}
for(ll i = 1;i<n;i++){
len[i][i+1] = len[i+1][i] = min((ll)L[i-1],c);
ll x = naj(1);
ll 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
**/
Compilation message
shortcut.cpp: In function 'void dfs(long long int, long long int)':
shortcut.cpp:33:12: warning: unused variable 'w' [-Wunused-variable]
33 | ll w = p.sc;
| ^
shortcut.cpp: In function 'long long int find_shortcut(int, std::vector<int>, std::vector<int>, int)':
shortcut.cpp:119:62: warning: suggest parentheses around assignment used as truth value [-Wparentheses]
119 | for(ll k = 1;k<=tsz;k++) vis[k] = inc[k] = id[k] = in[k] = out[k] = dept[k] = 0;
| ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
shortcut.cpp:127:27: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
127 | for(ll k = 1;k<cyc.size();k++) ps.pb(ps[k-1] + len[cyc[k]][cyc[k-1]]);
| ~^~~~~~~~~~~
shortcut.cpp:129:27: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
129 | for(ll k = 0;k<cyc.size();k++){
| ~^~~~~~~~~~~
shortcut.cpp:144:27: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
144 | for(ll e = 0;e<lif.size();e++){
| ~^~~~~~~~~~~
shortcut.cpp:145:33: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
145 | for(ll f = e+1;f<lif.size();f++){
| ~^~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 ms |
340 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
340 KB |
n = 3, 4 is a correct answer |
| 5 |
Correct |
0 ms |
212 KB |
n = 2, 62 is a correct answer |
| 6 |
Correct |
0 ms |
212 KB |
n = 2, 3 is a correct answer |
| 7 |
Incorrect |
0 ms |
340 KB |
n = 3, incorrect answer: jury 29 vs contestant 21 |
| 8 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 ms |
340 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
340 KB |
n = 3, 4 is a correct answer |
| 5 |
Correct |
0 ms |
212 KB |
n = 2, 62 is a correct answer |
| 6 |
Correct |
0 ms |
212 KB |
n = 2, 3 is a correct answer |
| 7 |
Incorrect |
0 ms |
340 KB |
n = 3, incorrect answer: jury 29 vs contestant 21 |
| 8 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 ms |
340 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
340 KB |
n = 3, 4 is a correct answer |
| 5 |
Correct |
0 ms |
212 KB |
n = 2, 62 is a correct answer |
| 6 |
Correct |
0 ms |
212 KB |
n = 2, 3 is a correct answer |
| 7 |
Incorrect |
0 ms |
340 KB |
n = 3, incorrect answer: jury 29 vs contestant 21 |
| 8 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 ms |
340 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
340 KB |
n = 3, 4 is a correct answer |
| 5 |
Correct |
0 ms |
212 KB |
n = 2, 62 is a correct answer |
| 6 |
Correct |
0 ms |
212 KB |
n = 2, 3 is a correct answer |
| 7 |
Incorrect |
0 ms |
340 KB |
n = 3, incorrect answer: jury 29 vs contestant 21 |
| 8 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 ms |
340 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
340 KB |
n = 3, 4 is a correct answer |
| 5 |
Correct |
0 ms |
212 KB |
n = 2, 62 is a correct answer |
| 6 |
Correct |
0 ms |
212 KB |
n = 2, 3 is a correct answer |
| 7 |
Incorrect |
0 ms |
340 KB |
n = 3, incorrect answer: jury 29 vs contestant 21 |
| 8 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 ms |
340 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
340 KB |
n = 3, 4 is a correct answer |
| 5 |
Correct |
0 ms |
212 KB |
n = 2, 62 is a correct answer |
| 6 |
Correct |
0 ms |
212 KB |
n = 2, 3 is a correct answer |
| 7 |
Incorrect |
0 ms |
340 KB |
n = 3, incorrect answer: jury 29 vs contestant 21 |
| 8 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 ms |
340 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
340 KB |
n = 3, 4 is a correct answer |
| 5 |
Correct |
0 ms |
212 KB |
n = 2, 62 is a correct answer |
| 6 |
Correct |
0 ms |
212 KB |
n = 2, 3 is a correct answer |
| 7 |
Incorrect |
0 ms |
340 KB |
n = 3, incorrect answer: jury 29 vs contestant 21 |
| 8 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 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 |
0 ms |
340 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
340 KB |
n = 3, 4 is a correct answer |
| 5 |
Correct |
0 ms |
212 KB |
n = 2, 62 is a correct answer |
| 6 |
Correct |
0 ms |
212 KB |
n = 2, 3 is a correct answer |
| 7 |
Incorrect |
0 ms |
340 KB |
n = 3, incorrect answer: jury 29 vs contestant 21 |
| 8 |
Halted |
0 ms |
0 KB |
- |
