// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------
/*
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,fma")
*/
// -------------------</optimizations>--------------------
// ---------------<Headers and namespaces>----------------
#include <bits/stdc++.h>
using namespace std;
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
*/
// ---------------</Headers and namespaces>---------------
// -----------------<Defines and typedefs>----------------
// typedef tree<int,null_type,less<int>,rb_tree_tag, \
tree_order_statistics_node_update> indexed_set; // use less_equal for multiset
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the iterator to kth largest element.(0-based)
typedef long double LD;
typedef long long ll;
#define int ll
#define pb push_back
#define mp make_pair
#define REP(i,n) for (int i = 0; i < n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)
#define remax(a,b) a = max(a,b)
#define remin(a,b) a = min(a,b)
#define all(v) v.begin(),v.end()
typedef map<int,int> mii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pii;
typedef vector<pii> vpii;
#define F first
#define S second
#define PQ(type) priority_queue<type>
#define PQD(type) priority_queue<type,vector<type>,greater<type> >
#define WL(t) while(t --)
#define SZ(x) ((int)(x).size())
#define runtime() ((double)clock() / CLOCKS_PER_SEC)
#define inrange(i,a,b) ((i>=min(a,b)) && (i<=max(a,b)))
/*
// -----<SCANF>-----
#define sfi(x) scanf("%d",&x);
#define sfi2(x,y) scanf("%d%d",&x,&y);
#define sfi3(x,y,z) scanf("%d%d%d",&x,&y,&z);
#define sfl(x) scanf("%lld",&x);
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
#define sfl3(x,y,z) scanf("%lld%lld%lld",&x,&y,&z);
#define sfl4(x,y,z,x1) scanf("%lld%lld%lld%lld",&x,&y,&z,&x1);
#define sfl5(x,y,z,x1,y1) scanf("%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1);
#define sfl6(x,y,z,x1,y1,z1) scanf("%lld%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1,&z1);
#define sfs(x) scanf("%s",x);
#define sfs2(x,y) scanf("%s%s",x,y);
#define sfs3(x,y,z) scanf("%s%s%s",x,y,z);
// ----</SCANF>-----
// ----<PRINTF>-----
#define pfi(x) printf("%d\n",x);
#define pfi2(x,y) printf("%d %d\n",x,y);
#define pfi3(x,y,z) printf("%d %d %d\n",x,y,z);
#define pfl(x) printf("%lld\n",x);
#define pfl2(x,y) printf("%lld %lld\n",x,y);
#define pfl3(x,y,z) printf("%lld %lld %lld\n",x,y,z);
#define pfs(x) printf("%s\n",x);
#define pfs2(x,y) printf("%s %s\n",x,y);
#define pfs3(x,y,z) printf("%s %s %s\n",x,y,z);
#define pwe(x) printf("%lld ",x); // print without end
// ----</PRINTF>----
*/
#define FLSH fflush(stdout)
#define fileIO(name) \
freopen(name".in", "r", stdin); \
freopen(name".out", "w", stdout);
#define PRECISION(x) cout << fixed << setprecision(x);
#define FAST_IO ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// ----------------</Defines and typedefs>----------------
// -------------------<Debugging stuff>-------------------
#define TRACE
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
cout << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif
// ------------------</Debugging stuff>-------------------
// ------------------------<Consts>-----------------------
const int MAXN = 1000005;
const int SQRTN = 1003;
const int LOGN = 22;
const double PI=acos(-1);
#ifdef int
const int INF=1e16;
#else
const int INF=1e9;
#endif
const int MOD = 1000000007;
const int FMOD = 998244353;
const double eps = 1e-9;
// -----------------------</Consts>-----------------------
/*
// -------------------------<RNG>-------------------------
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count());
#define SHUF(v) shuffle(all(v), RNG);
// Use mt19937_64 for 64 bit random numbers.
// ------------------------</RNG>-------------------------
// ----------------------<MATH>---------------------------
template<typename T> T gcd(T a, T b){return(b?__gcd(a,b):a);}
template<typename T> T lcm(T a, T b){return(a*(b/gcd(a,b)));}
int add(int a, int b, int c = MOD){int res=a+b;return(res>=c?res-c:res);}
int mod_neg(int a, int b, int c = MOD){int res;if(abs(a-b)<c)res=a-b;else res=(a-b)%c;return(res<0?res+c:res);}
int mul(int a, int b, int c = MOD){ll res=(ll)a*b;return(res>=c?res%c:res);}
int muln(int a, int b, int c = MOD){ll res=(ll)a*b;return ((res%c)+c)%c;}
ll mulmod(ll a,ll b, ll m = MOD){ll q = (ll)(((LD)a*(LD)b)/(LD)m);ll r=a*b-q*m;if(r>m)r%=m;if(r<0)r+=m;return r;}
template<typename T>T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
template<typename T>T power(T e, T n, T m = MOD){T x=1,p=e;while(n){if(n&1)x=mul(x,p,m);p=mul(p,p,m);n>>=1;}return x;}
template<typename T>T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;\
t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
template<typename T>T mod_inverse(T a, T n = MOD){T x,y,z=0;T d=extended_euclid(a,n,x,y);return(d>1?-1:mod_neg(x,z,n));}
const int FACSZ = 1; // Make sure to change this
int fact[FACSZ],ifact[FACSZ];
void precom(int c = MOD){
fact[0] = 1;
FOR(i,1,FACSZ) fact[i] = mul(fact[i-1],i,c);
ifact[FACSZ-1] = mod_inverse(fact[FACSZ-1],c);
REPD(i,FACSZ-1){
ifact[i] = mul(i+1,ifact[i+1],c);
}
}
int ncr(int n,int r,int c = MOD){
return mul(mul(ifact[r],ifact[n-r],c),fact[n],c);
}
*/
// ----------------------</MATH>--------------------------
// --------------------------------------------------</TEMPLATE>--------------------------------------------------
void solvethetestcase();
signed main(){
// comment when using scanf,printf
FAST_IO
int t = 1;
// (UNCOMMENT FOR MULTIPLE TEST CASES) \
cin >> t;
FOR(testcase,1,t+1){
// (UNCOMMENT FOR CODEJAM) \
printf("Case #%lld: ",testcase);
solvethetestcase();
}
}
int n,k,m;
int imp[6];
vpii adj[100005];
int dist1[6][100005];
int dist2[6][6][100005];
void dijkstra1(int ind){
REP(i,n+2) dist1[ind][i] = INF;
int root = imp[ind];
dist1[ind][root] = 0;
PQD(pii) pq;
pq.push({dist1[ind][root],root});
while(pq.size()){
pii u = pq.top();
pq.pop();
if(dist1[ind][u.S] != u.F) continue;
for(auto v:adj[u.S]){
if(dist1[ind][v.F] > u.F+v.S){
dist1[ind][v.F] = u.F+v.S;
pq.push({dist1[ind][v.F],v.F});
}
}
}
}
void dijsktra2(int a,int b){
PQD(pii) pq;
FOR(i,1,n+1) pq.push({dist2[a][b][i],i});
while(pq.size()){
pii u = pq.top();
pq.pop();
// trace(a,b,u.F,u.S);
if(dist2[a][b][u.S] != u.F) continue;
for(auto v:adj[u.S]){
if(dist2[a][b][v.F] > u.F+v.S){
dist2[a][b][v.F] = u.F+v.S;
pq.push({dist2[a][b][v.F],v.F});
}
}
}
}
int ans = INF;
int dp[(1<<6)];
int solve(int root,int mask){
if(dp[mask] != -1) return dp[mask];
dp[mask] = INF;
FOR(a,1,k+1){
if(mask&(1<<(a-1))){
remin(dp[mask],solve(root,mask^(1<<(a-1)))+dist1[a][root]);
FOR(b,a+1,k+1){
if(mask&(1<<(b-1))){
remin(dp[mask],solve(root,(mask^(1<<(a-1)))^(1<<(b-1)))+dist2[a][b][root]);
}
}
}
}
return dp[mask];
}
void solvethetestcase(){
cin >> n >> k >> m;
FOR(i,1,k+1) cin >> imp[i];
REP(i,m){
int u,v,w; cin >> u >> v >> w;
adj[u].pb({v,w});
adj[v].pb({u,w});
}
FOR(i,1,k+1) dijkstra1(i);
FOR(a,1,k+1) FOR(b,a+1,k+1){
FOR(i,1,n+1){
dist2[a][b][i] = dist1[a][i]+dist1[b][i];
// trace(a,b,i);
// trace(dist2[a][b][i],dist1[a][i],dist1[b][i]);
}
dijsktra2(a,b);
}
FOR(i,1,n+1){
REP(j,(1<<6)) dp[j] = -1;
dp[0] = 0;
remin(ans,solve(i,(1<<k)-1));
}
cout << ans << "\n";
}
Compilation message
cities.cpp:22:1: warning: multi-line comment [-Wcomment]
// typedef tree<int,null_type,less<int>,rb_tree_tag, \
^
cities.cpp:179:5: warning: multi-line comment [-Wcomment]
// (UNCOMMENT FOR MULTIPLE TEST CASES) \
^
cities.cpp:182:9: warning: multi-line comment [-Wcomment]
// (UNCOMMENT FOR CODEJAM) \
^
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
2 ms |
2688 KB |
Output is correct |
| 2 |
Correct |
2 ms |
2688 KB |
Output is correct |
| 3 |
Correct |
2 ms |
2688 KB |
Output is correct |
| 4 |
Correct |
2 ms |
2816 KB |
Output is correct |
| 5 |
Correct |
2 ms |
2816 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
633 ms |
28576 KB |
Output is correct |
| 2 |
Correct |
511 ms |
28068 KB |
Output is correct |
| 3 |
Correct |
269 ms |
18460 KB |
Output is correct |
| 4 |
Correct |
83 ms |
15100 KB |
Output is correct |
| 5 |
Correct |
306 ms |
23852 KB |
Output is correct |
| 6 |
Correct |
75 ms |
15164 KB |
Output is correct |
| 7 |
Correct |
5 ms |
2944 KB |
Output is correct |
| 8 |
Correct |
4 ms |
2944 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
6 ms |
3072 KB |
Output is correct |
| 2 |
Correct |
6 ms |
3072 KB |
Output is correct |
| 3 |
Correct |
7 ms |
2944 KB |
Output is correct |
| 4 |
Correct |
7 ms |
2944 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
871 ms |
31444 KB |
Output is correct |
| 2 |
Correct |
825 ms |
31416 KB |
Output is correct |
| 3 |
Correct |
468 ms |
21536 KB |
Output is correct |
| 4 |
Correct |
451 ms |
24884 KB |
Output is correct |
| 5 |
Correct |
150 ms |
17024 KB |
Output is correct |
| 6 |
Correct |
76 ms |
17400 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1218 ms |
35712 KB |
Output is correct |
| 2 |
Correct |
1172 ms |
35372 KB |
Output is correct |
| 3 |
Correct |
1129 ms |
34964 KB |
Output is correct |
| 4 |
Correct |
795 ms |
25496 KB |
Output is correct |
| 5 |
Correct |
642 ms |
26520 KB |
Output is correct |
| 6 |
Correct |
191 ms |
17548 KB |
Output is correct |
| 7 |
Correct |
81 ms |
17272 KB |
Output is correct |
