結果

問題 No.1812 Uribo Road
ユーザー heno239heno239
提出日時 2022-01-14 22:05:03
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 110 ms / 5,000 ms
コード長 5,699 bytes
コンパイル時間 3,021 ms
コンパイル使用メモリ 177,840 KB
実行使用メモリ 15,440 KB
最終ジャッジ日時 2023-08-12 19:47:18
合計ジャッジ時間 5,497 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge2
このコードへのチャレンジ（β）

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 9 ms
11,580 KB
testcase_01 AC 10 ms
11,872 KB
testcase_02 AC 9 ms
11,596 KB
testcase_03 AC 13 ms
12,352 KB
testcase_04 AC 9 ms
11,644 KB
testcase_05 AC 9 ms
11,592 KB
testcase_06 AC 10 ms
11,588 KB
testcase_07 AC 10 ms
11,680 KB
testcase_08 AC 10 ms
11,768 KB
testcase_09 AC 12 ms
11,856 KB
testcase_10 AC 10 ms
11,716 KB
testcase_11 AC 11 ms
11,752 KB
testcase_12 AC 49 ms
14,688 KB
testcase_13 AC 25 ms
14,732 KB
testcase_14 AC 25 ms
14,412 KB
testcase_15 AC 42 ms
12,908 KB
testcase_16 AC 37 ms
13,668 KB
testcase_17 AC 94 ms
14,680 KB
testcase_18 AC 22 ms
13,128 KB
testcase_19 AC 109 ms
15,380 KB
testcase_20 AC 110 ms
15,440 KB
testcase_21 AC 85 ms
15,352 KB
testcase_22 AC 69 ms
15,360 KB
testcase_23 AC 11 ms
12,140 KB
testcase_24 AC 10 ms
11,656 KB
testcase_25 AC 21 ms
12,488 KB
testcase_26 AC 11 ms
11,680 KB
testcase_27 AC 20 ms
12,552 KB
testcase_28 AC 34 ms
13,064 KB
testcase_29 AC 10 ms
11,764 KB
testcase_30 AC 11 ms
11,916 KB
testcase_31 AC 57 ms
13,524 KB
testcase_32 AC 10 ms
11,760 KB
testcase_33 AC 30 ms
13,200 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
#include<chrono>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
constexpr ll mod = 1000000007;
const ll INF = mod * mod;
typedef pair<int, int>P;

#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;

template<typename T>
void chmin(T& a, T b) {
	a = min(a, b);
}
template<typename T>
void chmax(T& a, T b) {
	a = max(a, b);
}
template<typename T>
void cinarray(vector<T>& v) {
	rep(i, v.size())cin >> v[i];
}
template<typename T>
void coutarray(vector<T>& v) {
	rep(i, v.size()) {
		if (i > 0)cout << " "; cout << v[i];
	}
	cout << "\n";
}
ll mod_pow(ll x, ll n, ll m = mod) {
	if (n < 0) {
		ll res = mod_pow(x, -n, m);
		return mod_pow(res, m - 2, m);
	}
	if (abs(x) >= m)x %= m;
	if (x < 0)x += m;
	if (x == 0)return 0;
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
struct modint {
	int n;
	modint() :n(0) { ; }
	modint(ll m) {
		if (m < 0 || mod <= m) {
			m %= mod; if (m < 0)m += mod;
		}
		n = m;
	}
	operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
	if (n == 0)return modint(1);
	modint res = (a * a) ^ (n / 2);
	if (n % 2)res = res * a;
	return res;
}

ll inv(ll a, ll p) {
	return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }
modint operator/=(modint& a, modint b) { a = a / b; return a; }
const int max_n = 1 << 20;
modint fact[max_n], factinv[max_n];
void init_f() {
	fact[0] = modint(1);
	for (int i = 0; i < max_n - 1; i++) {
		fact[i + 1] = fact[i] * modint(i + 1);
	}
	factinv[max_n - 1] = modint(1) / fact[max_n - 1];
	for (int i = max_n - 2; i >= 0; i--) {
		factinv[i] = factinv[i + 1] * modint(i + 1);
	}
}
modint comb(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[b] * factinv[a - b];
}
modint combP(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[a - b];
}

ll gcd(ll a, ll b) {
	a = abs(a); b = abs(b);
	if (a < b)swap(a, b);
	while (b) {
		ll r = a % b; a = b; b = r;
	}
	return a;
}
typedef long double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-8;
const ld pi = acosl(-1.0);
int dx[4] = { 1,0,-1,0 };
int dy[4] = { 0,1,0,-1 };
//-----------------------------------------

/////////////////////////////////

struct edge {
	int to, cost;
};


ll dp[1 << 12][12][2];
void solve() {
	int n, m, k; cin >> n >> m >> k;
	assert(n <= 10000);
	assert(k <= 12);
	vector<int> r(k);
	rep(i, k) {
		cin >> r[i]; r[i]--;
	}
	vector<int> a(m), b(m), c(m);
	vector<vector<edge>> G(n);

	rep(i, m) {
		cin >> a[i] >> b[i] >> c[i]; a[i]--; b[i]--;
		G[a[i]].push_back({ b[i],c[i] });
		G[b[i]].push_back({ a[i],c[i] });
	}
	vector<int> vs;
	vs.push_back(0);
	vs.push_back(n - 1);
	rep(i, k) {
		int id = r[i];
		vs.push_back(a[id]);
		vs.push_back(b[id]);
	}
	sort(all(vs));
	vs.erase(unique(all(vs)), vs.end());
	rep(i, vs.size()) {
		assert(vs[i] >= 0 && vs[i] < n);
	}
	vector<vector<ll>> dist(vs.size(), vector<ll>(n));
	vector<vector<ll>> cost(vs.size(), vector<ll>(vs.size()));
	vector<vector<int>> loc(k, vector<int>(2));
	rep(i, k) {
		loc[i][0] = lower_bound(all(vs), a[r[i]]) - vs.begin();
		loc[i][1] = lower_bound(all(vs), b[r[i]]) - vs.begin();
	}
	rep(i, vs.size()) {
		fill(all(dist[i]), INF);
		priority_queue<LP, vector<LP>, greater<LP>> q;
		q.push({ 0,vs[i] });
		dist[i][vs[i]] = 0;
		while (!q.empty()) {
			LP p = q.top(); q.pop();
			if (p.first > dist[i][p.second])continue;
			for (edge e : G[p.second]) {
				ll nd = p.first + e.cost;
				if (nd < dist[i][e.to]) {
					dist[i][e.to] = nd;
					q.push({ nd,e.to });
				}
			}
		}
		rep(j, vs.size())cost[i][j] = dist[i][vs[j]];
	}
	rep(i, (1 << k))rep(j,k)rep(l, 2)dp[i][j][l] = INF;
	rep(i, k)rep(j,2) {
		dp[(1 << i)][i][j] = cost[0][loc[i][j^1]]+c[r[i]];
	}
	rep(i, (1 << k))rep(j, k)rep(l,2) {
		if (dp[i][j][l] == INF)continue;
		rep(to, k)rep(y,2) {
			if (i & (1 << to))continue;
			int ni = i ^ (1 << to);
			int nj = to;
			int ny = y;
			ll sum = dp[i][j][l] + cost[loc[j][l]][loc[to][y ^ 1]] + c[r[to]];
			chmin(dp[ni][nj][ny], sum);
		}
	}
	ll ans = INF;
	rep(j, k)rep(l,2) {
		ll sum = dp[(1 << k) - 1][j][l] + cost[loc[j][l]][vs.size()-1];
		chmin(ans, sum);
	}
	cout << ans << "\n";
}


signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout << fixed << setprecision(10);
	//init_f();
	//init();
	//while(true)
	//useexpr();
	//int t; cin >> t; rep(i, t)
	solve();
	return 0;
}
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