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Submission #1055257

# Submission time Handle Problem Language Result Execution time Memory
1055257 2024-08-12T16:01:38 Z Alihan_8 Olympic Bus (JOI20_ho_t4) C++17
100 / 100
 205 ms 3528 KB 
#include <bits/stdc++.h>

using namespace std;

#define all(x) x.begin(), x.end()
#define ar array
#define pb push_back
#define ln '\n'
//~ #define int long long

using i64 = long long;

template <class F, class _S>
bool chmin(F &u, const _S &v){
    bool flag = false;
    if ( u > v ){
        u = v; flag |= true;
    }
    return flag;
}

template <class F, class _S>
bool chmax(F &u, const _S &v){
    bool flag = false;
    if ( u < v ){
        u = v; flag |= true;
    }
    return flag;
}

const i64 inf = 1e12;

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
	
	int n, m; cin >> n >> m;
	
	// subtask #2
	
	vector <int> U(m), V(m), C(m), D(m);
	
	for ( int i = 0; i < m; i++ ){
		cin >> U[i] >> V[i] >> C[i] >> D[i];
		
		--U[i], --V[i];
	}
	
	vector <int> is(m);
	
	auto get = [&](auto U, auto V, auto C, int sx){
		vector <vector<ar<int,3>>> adj(n);
		
		for ( int i = 0; i < (int)U.size(); i++ ){
			int u = U[i], v = V[i];
			
			adj[u].pb({v, C[i], i});
		}
		
		vector <i64> dp(n, inf);
		vector <int> fa(n, -1);
		
		priority_queue <pair<i64,int>> q;
		
		q.push({0, sx}); dp[sx] = 0;
		
		while ( !q.empty() ){
			auto [val, u] = q.top();
			q.pop();
			
			if ( -val != dp[u] ) continue;
			
			for ( auto &[v, w, j]: adj[u] ){
				if ( chmin(dp[v], dp[u] + w) ){
					q.push({-dp[v], v});
					fa[v] = j;
				}
			}
		}
		
		for ( auto &x: fa ){
			if ( x != -1 ) is[x] = 1;
		}
		
		return dp;
	};
	
	auto f = [&](int j){
		auto calc = [&](int sx, int se){
			vector <vector<i64>> adj(n, vector <i64> (n, inf));
			
			for ( int i = 0; i < m; i++ ){
				int u = U[i], v = V[i];
				
				if ( i == j ) swap(u, v);
				
				chmin(adj[u][v], C[i]);
			}
			
			vector <i64> d(n, inf), us(n);
			
			d[sx] = 0;
			
			for ( int iter = 0; iter < n; iter++ ){
				int u = -1;
				
				for ( int v = 0; v < n; v++ ){
					if ( !us[v] && (u == -1 || d[u] > d[v]) ) u = v;
				}
				
				if ( u == se ) return d[u];
				
				us[u] = 1;
				
				for ( int v = 0; v < n; v++ ){
					chmin(d[v], d[u] + adj[u][v]);
				}
			}
			
			return inf;
		};
		
		return calc(0, n - 1) + calc(n - 1, 0) + D[j];
	};
	
	int s = 0, e = n - 1;
	
	auto fs = get(U, V, C, s), fe = get(U, V, C, e);
	auto IS = is;
	auto ts = get(V, U, C, s), te = get(V, U, C, e);
	
	i64 opt = fs[e] + fe[s];
	
	for ( int i = 0; i < m; i++ ){
		i64 x = min(fs[e], fs[V[i]] + C[i] + te[U[i]]);
		i64 y = min(fe[s], fe[V[i]] + C[i] + ts[U[i]]);
		
		if ( IS[i] ) chmin(opt, f(i));
		else chmin(opt, x + y + D[i]);
	}
	
	if ( opt >= inf ){
		opt = -1;
	}
	
	cout << opt;
	
    cout << '\n';
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 824 KB Output is correct
2 Correct 1 ms 792 KB Output is correct
3 Correct 60 ms 836 KB Output is correct
4 Correct 66 ms 1080 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 3 ms 788 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 55 ms 840 KB Output is correct
11 Correct 76 ms 836 KB Output is correct
12 Correct 70 ms 832 KB Output is correct
13 Correct 34 ms 836 KB Output is correct
14 Correct 53 ms 832 KB Output is correct
15 Correct 55 ms 836 KB Output is correct
16 Correct 52 ms 1144 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 103 ms 3284 KB Output is correct
2 Correct 113 ms 3172 KB Output is correct
3 Correct 97 ms 3192 KB Output is correct
4 Correct 35 ms 868 KB Output is correct
5 Correct 45 ms 1092 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 7 ms 804 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 68 ms 3160 KB Output is correct
10 Correct 65 ms 3076 KB Output is correct
11 Correct 119 ms 3196 KB Output is correct
12 Correct 107 ms 3212 KB Output is correct
13 Correct 119 ms 3264 KB Output is correct
14 Correct 101 ms 3336 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 832 KB Output is correct
2 Correct 19 ms 800 KB Output is correct
3 Correct 195 ms 2476 KB Output is correct
4 Correct 9 ms 792 KB Output is correct
5 Correct 205 ms 3236 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 128 ms 3264 KB Output is correct
9 Correct 144 ms 3184 KB Output is correct
10 Correct 179 ms 3088 KB Output is correct
11 Correct 162 ms 3152 KB Output is correct
12 Correct 167 ms 3232 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 185 ms 3248 KB Output is correct
20 Correct 167 ms 3436 KB Output is correct
21 Correct 167 ms 3164 KB Output is correct
22 Correct 173 ms 3168 KB Output is correct

Subtask #4
63.0 / 63.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 824 KB Output is correct
2 Correct 1 ms 792 KB Output is correct
3 Correct 60 ms 836 KB Output is correct
4 Correct 66 ms 1080 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 3 ms 788 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 55 ms 840 KB Output is correct
11 Correct 76 ms 836 KB Output is correct
12 Correct 70 ms 832 KB Output is correct
13 Correct 34 ms 836 KB Output is correct
14 Correct 53 ms 832 KB Output is correct
15 Correct 55 ms 836 KB Output is correct
16 Correct 52 ms 1144 KB Output is correct
17 Correct 103 ms 3284 KB Output is correct
18 Correct 113 ms 3172 KB Output is correct
19 Correct 97 ms 3192 KB Output is correct
20 Correct 35 ms 868 KB Output is correct
21 Correct 45 ms 1092 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 7 ms 804 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 68 ms 3160 KB Output is correct
26 Correct 65 ms 3076 KB Output is correct
27 Correct 119 ms 3196 KB Output is correct
28 Correct 107 ms 3212 KB Output is correct
29 Correct 119 ms 3264 KB Output is correct
30 Correct 101 ms 3336 KB Output is correct
31 Correct 52 ms 832 KB Output is correct
32 Correct 19 ms 800 KB Output is correct
33 Correct 195 ms 2476 KB Output is correct
34 Correct 9 ms 792 KB Output is correct
35 Correct 205 ms 3236 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 128 ms 3264 KB Output is correct
39 Correct 144 ms 3184 KB Output is correct
40 Correct 179 ms 3088 KB Output is correct
41 Correct 162 ms 3152 KB Output is correct
42 Correct 167 ms 3232 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 185 ms 3248 KB Output is correct
50 Correct 167 ms 3436 KB Output is correct
51 Correct 167 ms 3164 KB Output is correct
52 Correct 173 ms 3168 KB Output is correct
53 Correct 153 ms 3528 KB Output is correct
54 Correct 172 ms 3248 KB Output is correct
55 Correct 158 ms 3096 KB Output is correct
56 Correct 67 ms 1952 KB Output is correct
57 Correct 46 ms 832 KB Output is correct
58 Correct 103 ms 2616 KB Output is correct
59 Correct 121 ms 2588 KB Output is correct
60 Correct 160 ms 2516 KB Output is correct
61 Correct 108 ms 2624 KB Output is correct
62 Correct 117 ms 2464 KB Output is correct
63 Correct 162 ms 2612 KB Output is correct
64 Correct 123 ms 3128 KB Output is correct
65 Correct 137 ms 3000 KB Output is correct
66 Correct 182 ms 2920 KB Output is correct
67 Correct 10 ms 3016 KB Output is correct
68 Correct 109 ms 3168 KB Output is correct
69 Correct 101 ms 3224 KB Output is correct
70 Correct 182 ms 3176 KB Output is correct
71 Correct 184 ms 3192 KB Output is correct
72 Correct 185 ms 3328 KB Output is correct
73 Correct 192 ms 3236 KB Output is correct
74 Correct 176 ms 3260 KB Output is correct