#include<bits/allocator.h>
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,fma,bmi,bmi2,popcnt,lzcnt")
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned long long
#define int128 __int128_t
#define double long double
#define gcd __gcd
#define lcm(a, b) ((a)/gcd(a, b)*(b))
#define sqrt sqrtl
#define log2 log2l
#define log10 log10l
#define floor floorl
#define to_string str
#define yes cout << "YES"
#define no cout << "NO"
#define trav(i, a) for (auto &i: (a))
#define all(a) (a).begin(), (a).end()
#define rall(a) (a).rbegin(), (a).rend()
#define sz(a) (int)a.size()
#define Max(a) *max_element(all(a))
#define Min(a) *min_element(all(a))
#define Find(a, n) (find(all(a), n) - a.begin())
#define Count(a, n) count(all(a), n)
#define Upper(a, n) (upper_bound(all(a), n) - a.begin())
#define Lower(a, n) (lower_bound(all(a), n) - a.begin())
#define next_perm(a) next_permutation(all(a))
#define prev_perm(a) prev_permutation(all(a))
#define sorted(a) is_sorted(all(a))
#define sum(a) accumulate(all(a), 0)
#define sumll(a) accumulate(all(a), 0ll)
#define Sort(a) sort(all(a))
#define Reverse(a) reverse(all(a))
#define Unique(a) Sort(a), (a).resize(unique(all(a)) - a.begin())
#define pb push_back
#define eb emplace_back
#define popcount __builtin_popcount
#define popcountll __builtin_popcountll
#define clz __builtin_clz
#define clzll __buitlin_clzll
#define ctz __builtin_ctz
#define ctzll __builtin_ctzll
#define open(s) freopen(s, "r", stdin)
#define write(s) freopen(s, "w", stdout)
#define fileopen(s) open((string(s) + ".inp").c_str()), write((string(s) + ".out").c_str());
#define For(i, a, b) for (auto i = (a); i < (b); i++)
#define Fore(i, a, b) for (auto i = (a); i >= (b); i--)
#define FOR(i, a, b) for (auto i = (a); i <= (b); i++)
#define ret(s) return void(cout << s);
const int mod = 1e9 + 7, mod2 = 998244353;
const double PI = acos(-1), eps = 1e-9;
const ull npos = string::npos;
const int dx[] = {0, 0, -1, 1}, dy[] = {-1, 1, 0, 0};
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using cd = complex<double>;
mt19937 mt(chrono::system_clock::now().time_since_epoch().count());
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<double> vdo;
typedef vector<vdo> vvdo;
typedef vector<string> vs;
typedef vector<pii> vpair;
typedef vector<vpair> vvpair;
typedef vector<bool> vb;
typedef vector<vb> vvb;
typedef vector<char> vc;
typedef vector<vc> vvc;
typedef vector<cd> vcd;
typedef priority_queue<int> pq;
typedef priority_queue<int, vi, greater<int>> pqg;
typedef priority_queue<ll> pqll;
typedef priority_queue<ll, vll, greater<ll>> pqgll;
ll add(ll a, ll b, int m) {if (a >= m) a%=m;if (b >= m) b%=m;a+=b;return a >= m ? a - m: a;}
ll sub(ll a, ll b, int m) {if (a >= m) a%=m;if (b >= m) b%=m;a-=b;return a < 0 ? a + m: a;}
ll mul(ll a, ll b, int m) {if (a >= m) a%=m;if (b >= m) b%=m;return a*b % m;}
ll bin_mul(ll a, ll b, ll m) {if (a >= m) a%=m;if (b >= m) b%=m;ll x = 0;while (b) {if (b & 1) x = (x + a) % m;a = (a + a) % m;b>>=1;}return x;}
ll power(ll a, ll b, int m) {ll x = 1;if (a >= m) a%=m; while (b) {if (b & 1) x = x*a % m;a = a*a % m;b>>=1;}return x;}
ll power(ll a, ll b) {ll x = 1;while (b) {if (b & 1) x = x*a;a = a*a;b>>=1;}return x;}
ll ceil(ll a, ll b) {return (a + b - 1)/b;}
ll to_int(const string &s) {ll x = 0; for (int i = (s[0] == '-'); i < sz(s); i++) x = x*10 + s[i] - '0';return x*(s[0] == '-' ? -1: 1);}
bool is_prime(ll n) {if (n < 2) return 0;if (n < 4) return 1;if (n % 2 == 0 || n % 3 == 0) return 0;for (ll i = 5; i*i <= n; i+=6) {if(n % i == 0 || n % (i + 2) == 0) return 0;}return 1;}
bool is_square(ll n) {ll k = sqrt(n); return k*k == n;}
ll factorial(int n) {ll x = 1;for (int i = 2; i <= n; i++) x*=i;return x;}
ll factorial(int n, int m) {ll x = 1;for (ll i = 2; i <= n; i++) x = x*i % m;return x;}
bool is_power(ll n, ll k) {while (n % k == 0) n/=k;return n == 1ll;}
string str(ll n) {if (n == 0) return "0"; string s = ""; bool c = 0; if (n < 0) c = 1, n = -n; while (n) {s+=n % 10 + '0'; n/=10;} if (c) s+='-'; Reverse(s); return s;}
string repeat(const string &s, int n) {if (n < 0) return ""; string x = ""; while (n--) x+=s; return x;}
string bin(ll n) {string s = ""; while (n) {s+=(n & 1) + '0'; n>>=1;} Reverse(s); return s;}
void sieve(vector<bool> &a) {int n = a.size(); a[0] = a[1] = 0; for (int i = 4; i < n; i+=2) a[i] = 0; for (int i = 3; i*i < n; i+=2) {if (a[i]) {for (int j = i*i; j < n; j+=(i << 1)) a[j] = 0;}}}
void sieve(bool a[], int n) {a[0] = a[1] = 0; for (int i = 4; i < n; i+=2) a[i] = 0; for (int i = 3; i*i < n; i+=2) {if (a[i]) {for (int j = i*i; j < n; j+=(i << 1)) a[j] = 0;}}}
void sieve(vector<int> &a) {int n = a.size(); for (int i = 2; i < n; i+=2) a[i] = 2; for (int i = 3; i*i < n; i+=2) {if (!a[i]) {for (int j = i; j < n; j+=(i << 1)) a[j] = i;}} for (int i = 3; i < n; i+=2) {if (!a[i]) a[i] = i;}}
void sieve(int a[], int n) {for (int i = 2; i < n; i+=2) a[i] = 2; for (int i = 3; i*i < n; i+=2) {if (!a[i]) {for (int j = i; j < n; j+=(i << 1)) a[j] = i;}} for (int i = 3; i < n; i+=2) {if (!a[i]) a[i] = i;}}
vector<pii> factorize(int n) {vector<pii> a; for (int i = 2; i*i <= n; i++) {if (n % i == 0) {int k = 0; while (n % i == 0) k++, n/=i; a.emplace_back(i, k);}} if (n > 1) a.emplace_back(n, 1); return a;}
int rand(int l, int r) {return uniform_int_distribution<int>(l, r)(mt);}
int Log2(int n) {return 31 - __builtin_clz(n);}
template<class T> void compress(vector<T> &a) {vector<T> b; for (T &i: a) b.push_back(i); sort(all(b)); b.resize(unique(all(b)) - b.begin()); for (T &i: a) i = lower_bound(all(b), i) - b.begin() + 1;}
template<class A, class B> istream& operator>>(istream& in, pair<A, B> &p) {in >> p.first >> p.second; return in;}
template<class A, class B> ostream& operator<<(ostream& out, const pair<A, B> &p) {out << p.first << ' ' << p.second; return out;}
template<class T> istream& operator>>(istream& in, vector<T> &a) {for (auto &i: a) in >> i; return in;}
template<class T> ostream& operator<<(ostream& out, const vector<T> &a) {for (auto &i: a) out << i << ' '; return out;}
template<class T> istream& operator>>(istream& in, vector<vector<T>> &a) {for (auto &i: a) in >> i; return in;}
template<class T> ostream& operator<<(ostream& out, const vector<vector<T>> &a) {for (auto &i: a) out << i << '\n'; return out;}
template<class T> istream& operator>>(istream& in, deque<T> &a) {for (auto &i: a) in >> i; return in;}
template<class T> ostream& operator<<(ostream& out, const deque<T> &a) {for (auto &i: a) out << i << ' '; return out;}
// istream& operator>>(istream& in, __int128_t &a) {string s; in >> s; a = 0; for (auto &i: s) a = a*10 + (i - '0'); return in;}
// ostream& operator<<(ostream& out, __int128_t a) {string s = ""; while (a > 0) {s+=(int)(a % 10) + '0'; a/=10;} Reverse(s); out << s; return out;}
const int N = 1e5 + 5;
const ll inf = 2e18;
vpair g[N];
ll f[32][N];
using ii = pair<ll, int>;
int main() {
ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL);
cout << fixed << setprecision(10);
int n, k, m; cin >> n >> k >> m;
For(i,0,1<<k){
FOR(j,1,n) f[i][j] = inf;
}
For(i,0,k){
int u; cin >> u;
f[1 << i][u] = 0;
}
while (m--) {
int u, v, w; cin >> u >> v >> w;
g[u].eb(v, w); g[v].eb(u, w);
}
For(i,1,1<<k){
for (int j = (i - 1) & i; j; j = (j - 1) & i) {
FOR(l,1,n) f[i][l] = min(f[i][l], f[j][l] + f[i^j][l]);
}
priority_queue<ii, vector<ii>, greater<ii>> q;
FOR(j,1,n) q.push({f[i][j], j});
while (sz(q)) {
auto [_, u] = q.top(); q.pop();
if (f[i][u] < _) continue;
for (auto [v, w]: g[u]) {
if (f[i][v] > f[i][u] + w) {
f[i][v] = f[i][u] + w;
q.push({f[i][v], v});
}
}
}
}
ll x = inf;
FOR(i,1,n) x = min(x, f[(1 << k) - 1][i]);
cout << x;
return 0;
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
7000 KB |
Output is correct |
| 2 |
Correct |
1 ms |
7004 KB |
Output is correct |
| 3 |
Correct |
1 ms |
9052 KB |
Output is correct |
| 4 |
Correct |
2 ms |
15196 KB |
Output is correct |
| 5 |
Correct |
3 ms |
27700 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
332 ms |
22100 KB |
Output is correct |
| 2 |
Correct |
318 ms |
23260 KB |
Output is correct |
| 3 |
Correct |
214 ms |
16120 KB |
Output is correct |
| 4 |
Correct |
39 ms |
13908 KB |
Output is correct |
| 5 |
Correct |
169 ms |
21320 KB |
Output is correct |
| 6 |
Correct |
38 ms |
11772 KB |
Output is correct |
| 7 |
Correct |
4 ms |
9308 KB |
Output is correct |
| 8 |
Correct |
2 ms |
7260 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
6 ms |
15448 KB |
Output is correct |
| 2 |
Correct |
6 ms |
15452 KB |
Output is correct |
| 3 |
Correct |
5 ms |
15448 KB |
Output is correct |
| 4 |
Correct |
4 ms |
15464 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
699 ms |
31552 KB |
Output is correct |
| 2 |
Correct |
613 ms |
30328 KB |
Output is correct |
| 3 |
Correct |
435 ms |
24512 KB |
Output is correct |
| 4 |
Correct |
374 ms |
24928 KB |
Output is correct |
| 5 |
Correct |
113 ms |
21636 KB |
Output is correct |
| 6 |
Correct |
47 ms |
21772 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1325 ms |
40592 KB |
Output is correct |
| 2 |
Correct |
1403 ms |
40756 KB |
Output is correct |
| 3 |
Correct |
1346 ms |
40552 KB |
Output is correct |
| 4 |
Correct |
894 ms |
34756 KB |
Output is correct |
| 5 |
Correct |
732 ms |
37232 KB |
Output is correct |
| 6 |
Correct |
169 ms |
34096 KB |
Output is correct |
| 7 |
Correct |
59 ms |
34072 KB |
Output is correct |
