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Submission #534884

# Submission time Handle Problem Language Result Execution time Memory
534884 2022-03-09T05:43:20 Z Haruto810198 Olympic Bus (JOI20_ho_t4) C++17
100 / 100
 73 ms 4836 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
#define int long long
#define double long double
 
#define FOR(i, l, r, d) for(int i=(l); i<=(r); i+=(d))
#define szof(x) ((int)(x).size())
 
#define vi vector<int>
#define pii pair<int, int>
 
#define F first
#define S second
 
#define pb push_back
#define eb emplace_back
#define mkp make_pair
 
const int INF = INT_MAX;
const int LNF = 1e18;
const int MOD = 1000000007;
const int mod = 998244353;
const double eps = 1e-12;
 
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("unroll-loops")
 
const int VMAX = 210;
const int EMAX = 50010;
 
int n, m;
 
int from[EMAX], to[EMAX], c[EMAX], d[EMAX]; // information of edges
vi edge[VMAX];
 
vi spe; // edges on shortest path s -> t
bool isspe[EMAX];
 
int dis1[VMAX][VMAX], dis2[VMAX][VMAX]; // dis2 : dis. without using edges in sp
int res[EMAX]; // res[i] = optimal answer if we choose to reverse edge i
 
void Dijkstra(int s, int t){
	
	int disDij[VMAX];
	bool vis[VMAX];
	int pv[VMAX], pe[VMAX]; // id. of previous vertex, edge
	FOR(i, 1, n, 1){
		disDij[i] = LNF;
		vis[i] = 0;
	}
	disDij[s] = 0;
 
	FOR(owo, 1, n, 1){
		
		int Min = LNF, u = s;
		FOR(i, 1, n, 1){
			if(vis[i] == 0 and Min > disDij[i]){
				Min = disDij[i];
				u = i;
			}
		}
		
		for(int e : edge[u]){
			int v = to[e];
			if(disDij[u] + c[e] < disDij[v]){
				disDij[v] = disDij[u] + c[e];
				pv[v] = u;
				pe[v] = e;
			}
		}
 
		vis[u] = 1;
	}
	
	// find shortest path s -> t
	spe.clear();
	FOR(i, 1, m, 1){
		isspe[i] = 0;
	}
	
	if(disDij[t] >= LNF) return;
	
	int ptr = t;
 
	while(ptr != s){
		spe.pb(pe[ptr]);
		isspe[pe[ptr]] = 1;
		ptr = pv[ptr];
	}
 
	reverse(spe.begin(), spe.end());
 
}
 
void FloydWarshall(){
	
	// init. dis1, dis2
	FOR(i, 1, n, 1){
		FOR(j, 1, n, 1){
			dis1[i][j] = dis2[i][j] = LNF;
		}
		dis1[i][i] = dis2[i][i] = 0;
	}
	
	FOR(e, 1, m, 1){
		int u = from[e], v = to[e];
		dis1[u][v] = min(dis1[u][v], c[e]);
		if(!isspe[e]) dis2[u][v] = min(dis2[u][v], c[e]);
	}
	
	FOR(k, 1, n, 1){
		FOR(i, 1, n, 1){
			FOR(j, 1, n, 1){
				dis1[i][j] = min(dis1[i][j], dis1[i][k] + dis1[k][j]);
				dis2[i][j] = min(dis2[i][j], dis2[i][k] + dis2[k][j]);
			}
		}
	}
 
}
 
void solve(int s, int t){
	
	// (s, t) = (1, n) or (n, 1)
	
	Dijkstra(s, t);
	FloydWarshall();
	
	// e not on sp
	FOR(e, 1, m, 1){
		if(isspe[e]) continue;
		int u = from[e], v = to[e];
		res[e] += min(dis1[s][t], dis1[s][v] + c[e] + dis1[u][t]);
	}
 
	// e on sp
	int sz = szof(spe);
	
	FOR(i, 0, sz-1, 1){
		int e = spe[i];
		int Min = LNF;
 
		FOR(j, 0, i, 1){
			FOR(k, i, sz-1, 1){
				int u = from[spe[j]], v = to[spe[k]];
				Min = min(Min, dis1[s][u] + dis2[u][v] + dis1[v][t]);
			}
		}
 
		res[e] += Min;
	}
}
 
signed main(){
	
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
	
	cin>>n>>m;
	FOR(i, 1, m, 1){
		cin>>from[i]>>to[i]>>c[i]>>d[i];
		edge[from[i]].pb(i);
	}
 
	solve(1, n);
	solve(n, 1);
 
	int RES = dis1[1][n] + dis1[n][1]; // don't flip edges
	FOR(e, 1, m, 1){
		res[e] += d[e];
		RES = min(RES, res[e]); // flip e
	}
 
	if(RES < LNF) cout<<RES<<'\n';
	else cout<<-1<<'\n';
	
	return 0;
	
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 972 KB Output is correct
2 Correct 34 ms 1012 KB Output is correct
3 Correct 31 ms 972 KB Output is correct
4 Correct 30 ms 984 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 29 ms 972 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 388 KB Output is correct
10 Correct 40 ms 984 KB Output is correct
11 Correct 36 ms 980 KB Output is correct
12 Correct 37 ms 972 KB Output is correct
13 Correct 30 ms 1068 KB Output is correct
14 Correct 30 ms 980 KB Output is correct
15 Correct 30 ms 984 KB Output is correct
16 Correct 37 ms 1092 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 4336 KB Output is correct
2 Correct 54 ms 4336 KB Output is correct
3 Correct 54 ms 4328 KB Output is correct
4 Correct 33 ms 1104 KB Output is correct
5 Correct 30 ms 972 KB Output is correct
6 Correct 29 ms 964 KB Output is correct
7 Correct 33 ms 1024 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 51 ms 4392 KB Output is correct
10 Correct 50 ms 4432 KB Output is correct
11 Correct 53 ms 4432 KB Output is correct
12 Correct 52 ms 4440 KB Output is correct
13 Correct 49 ms 4476 KB Output is correct
14 Correct 52 ms 4604 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 1068 KB Output is correct
2 Correct 33 ms 1012 KB Output is correct
3 Correct 47 ms 3784 KB Output is correct
4 Correct 30 ms 972 KB Output is correct
5 Correct 48 ms 4456 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 328 KB Output is correct
8 Correct 48 ms 4536 KB Output is correct
9 Correct 46 ms 4548 KB Output is correct
10 Correct 48 ms 4512 KB Output is correct
11 Correct 49 ms 4548 KB Output is correct
12 Correct 45 ms 4560 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 49 ms 4600 KB Output is correct
20 Correct 48 ms 4572 KB Output is correct
21 Correct 49 ms 4684 KB Output is correct
22 Correct 52 ms 4432 KB Output is correct

Subtask #4
63.0 / 63.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 972 KB Output is correct
2 Correct 34 ms 1012 KB Output is correct
3 Correct 31 ms 972 KB Output is correct
4 Correct 30 ms 984 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 29 ms 972 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 388 KB Output is correct
10 Correct 40 ms 984 KB Output is correct
11 Correct 36 ms 980 KB Output is correct
12 Correct 37 ms 972 KB Output is correct
13 Correct 30 ms 1068 KB Output is correct
14 Correct 30 ms 980 KB Output is correct
15 Correct 30 ms 984 KB Output is correct
16 Correct 37 ms 1092 KB Output is correct
17 Correct 53 ms 4336 KB Output is correct
18 Correct 54 ms 4336 KB Output is correct
19 Correct 54 ms 4328 KB Output is correct
20 Correct 33 ms 1104 KB Output is correct
21 Correct 30 ms 972 KB Output is correct
22 Correct 29 ms 964 KB Output is correct
23 Correct 33 ms 1024 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 51 ms 4392 KB Output is correct
26 Correct 50 ms 4432 KB Output is correct
27 Correct 53 ms 4432 KB Output is correct
28 Correct 52 ms 4440 KB Output is correct
29 Correct 49 ms 4476 KB Output is correct
30 Correct 52 ms 4604 KB Output is correct
31 Correct 45 ms 1068 KB Output is correct
32 Correct 33 ms 1012 KB Output is correct
33 Correct 47 ms 3784 KB Output is correct
34 Correct 30 ms 972 KB Output is correct
35 Correct 48 ms 4456 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 1 ms 328 KB Output is correct
38 Correct 48 ms 4536 KB Output is correct
39 Correct 46 ms 4548 KB Output is correct
40 Correct 48 ms 4512 KB Output is correct
41 Correct 49 ms 4548 KB Output is correct
42 Correct 45 ms 4560 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 1 ms 332 KB Output is correct
47 Correct 1 ms 332 KB Output is correct
48 Correct 1 ms 332 KB Output is correct
49 Correct 49 ms 4600 KB Output is correct
50 Correct 48 ms 4572 KB Output is correct
51 Correct 49 ms 4684 KB Output is correct
52 Correct 52 ms 4432 KB Output is correct
53 Correct 49 ms 4648 KB Output is correct
54 Correct 52 ms 4564 KB Output is correct
55 Correct 50 ms 4600 KB Output is correct
56 Correct 33 ms 1076 KB Output is correct
57 Correct 30 ms 1028 KB Output is correct
58 Correct 66 ms 3908 KB Output is correct
59 Correct 73 ms 3968 KB Output is correct
60 Correct 50 ms 3792 KB Output is correct
61 Correct 47 ms 3868 KB Output is correct
62 Correct 52 ms 3844 KB Output is correct
63 Correct 54 ms 3772 KB Output is correct
64 Correct 57 ms 3912 KB Output is correct
65 Correct 53 ms 4036 KB Output is correct
66 Correct 50 ms 3908 KB Output is correct
67 Correct 21 ms 3140 KB Output is correct
68 Correct 63 ms 4804 KB Output is correct
69 Correct 50 ms 4836 KB Output is correct
70 Correct 51 ms 4796 KB Output is correct
71 Correct 52 ms 4676 KB Output is correct
72 Correct 57 ms 4756 KB Output is correct
73 Correct 54 ms 4776 KB Output is correct
74 Correct 48 ms 4728 KB Output is correct