#include <iostream>
#include <iomanip>
#include <algorithm>
#include <numeric>
#include <cmath>
#include <cassert>
#include <ctime>
#include <chrono>
#include <cstdio>
#include <random>
#include <vector>
#include <string>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <deque>
#include <queue>
#include <bitset>
#include <list>
#include <fstream>
#include <functional>
#include <complex>
using namespace std;
mt19937_64 rnd(chrono::steady_clock::now().time_since_epoch().count());
short skip_cin = 0;
const long long INF = 1e17, MOD = 1e9 + 7, MOD2 = 998244353, LOG = 18;
const long double EPS = 1e-9, PI = acos(-1);
struct edge
{
long long to, w, idx;
};
long long n;
vector<edge> g[200], rg[200];
void dijkstra(long long s, vector<long long>& dist, vector<pair<long long, long long>>& p, bool rev, long long del = -1)
{
if (rev)
{
swap(g, rg);
}
dist[s] = 0;
vector<bool> used(n);
while (true)
{
long long v = -1;
for (long long i = 0; i < n; i++)
{
if (!used[i] && dist[i] != INF && (v == -1 || dist[i] < dist[v]))
{
v = i;
}
}
if (v == -1)
{
break;
}
used[v] = true;
for (auto& i : g[v])
{
if (i.idx == del)
{
continue;
}
if (dist[v] + i.w < dist[i.to])
{
dist[i.to] = dist[v] + i.w;
p[i.to] = { v, i.idx };
}
}
}
if (rev)
{
swap(g, rg);
}
}
vector<long long> get_path(long long a, long long b, vector<pair<long long, long long>>& p)
{
if (p[b].first == -1)
{
return {};
}
vector<long long> res;
while (b != a)
{
res.push_back(p[b].second);
b = p[b].first;
}
return res;
}
void solve()
{
long long m;
cin >> n >> m;
vector<long long> rv(m), w(m);
vector<pair<long long, long long>> frto(m);
for (long long i = 0; i < m; i++)
{
long long a, b, c, d;
cin >> a >> b >> c >> d;
a--; b--;
g[a].push_back({ b, c, i });
rg[b].push_back({ a, c, i });
rv[i] = d;
frto[i] = { a, b };
w[i] = c;
}
vector<long long> da(n, INF), db(n, INF), rda(n, INF), rdb(n, INF);
vector<pair<long long, long long>> pa(n, { -1, -1 }), pb(n, { -1, -1 }), TRASH(n);
dijkstra(0, da, pa, false);
dijkstra(n - 1, db, pb, false);
dijkstra(0, rda, TRASH, true);
dijkstra(n - 1, rdb, TRASH, true);
vector<long long> ea = get_path(0, n - 1, pa), eb = get_path(n - 1, 0, pb);
vector<bool> used(m);
for (auto& i : ea)
{
used[i] = true;
}
for (auto& i : eb)
{
used[i] = true;
}
long long ans = min(INF, da[n - 1] + db[0]);
for (long long i = 0; i < m; i++)
{
auto [x, y] = frto[i];
if (!used[i])
{
ans = min(ans, rv[i] + min(da[n - 1], da[y] + w[i] + rdb[x]) + min(db[0], db[y] + w[i] + rda[x]));
continue;
}
g[y].push_back({ x, w[i], INF });
vector<long long> fucka(n, INF), fuckb(n, INF);
dijkstra(0, fucka, TRASH, false, i);
dijkstra(n - 1, fuckb, TRASH, false, i);
ans = min(ans, fucka[n - 1] + fuckb[0] + rv[i]);
g[y].pop_back();
}
cout << (ans == INF ? -1 : ans) << "\n";
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
srand(time(NULL));
int tst = 1;
//cin >> tst;
while (tst--)
{
solve();
}
return 0;
}
/*
<3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠖⠚⢉⣩⣭⡭⠛⠓⠲⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⡀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⡴⠃⢀⡴⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀
⠀⠀⠀⠀⡾⠁⣠⠋⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀
⠀⠀⠀⣸⠁⢰⠃⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀
⠀⠀⠀⡇⠀⡾⡀⠀⠀⠀⠀⣀⣹⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀
⠀⠀⢸⠃⢀⣇⡈⠀⠀⠀⠀⠀⠀⢀⡑⢄⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇
⠀⠀⢸⠀⢻⡟⡻⢶⡆⠀⠀⠀⠀⡼⠟⡳⢿⣦⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇
⠀⠀⣸⠀⢸⠃⡇⢀⠇⠀⠀⠀⠀⠀⡼⠀⠀⠈⣿⡗⠂⠀⠀⠀⠀⠀⠀⠀⢸⠁
⠀⠀⡏⠀⣼⠀⢳⠊⠀⠀⠀⠀⠀⠀⠱⣀⣀⠔⣸⠁⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀
⠀⠀⡇⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀
⠀⢸⠃⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⢀⠀⠀⠀⠀⠀⣾⠀⠀
⠀⣸⠀⠀⠹⡄⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠸⠀⠀⠀⠀⠀⡇⠀⠀
⠀⡏⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⢀⣠⢶⡇⠀⠀⢰⡀⠀⠀⠀⠀⠀⡇⠀⠀
⢰⠇⡄⠀⠀⠀⡿⢣⣀⣀⣀⡤⠴⡞⠉⠀⢸⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣧⠀⠀
⣸⠀⡇⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢹⠀⠀⢸⠀⠀⢀⣿⠇⠀⠀⠀⠁⠀⢸⠀⠀
⣿⠀⡇⠀⠀⠀⠀⠀⢀⡤⠤⠶⠶⠾⠤⠄⢸⠀⡀⠸⣿⣀⠀⠀⠀⠀⠀⠈⣇⠀
⡇⠀⡇⠀⠀⡀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠸⡌⣵⡀⢳⡇⠀⠀⠀⠀⠀⠀⢹⡀
⡇⠀⠇⠀⠀⡇⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠮⢧⣀⣻⢂⠀⠀⠀⠀⠀⠀⢧
⣇⠀⢠⠀⠀⢳⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡎⣆⠀⠀⠀⠀⠀⠘
⢻⠀⠈⠰⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠘⢮⣧⡀⠀⠀⠀⠀
⠸⡆⠀⠀⠇⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⡀⢢⡀
<3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
4 ms |
412 KB |
Output is correct |
4 |
Correct |
6 ms |
476 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
328 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
44 ms |
468 KB |
Output is correct |
11 |
Correct |
57 ms |
488 KB |
Output is correct |
12 |
Correct |
62 ms |
472 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
4 ms |
468 KB |
Output is correct |
15 |
Correct |
3 ms |
468 KB |
Output is correct |
16 |
Correct |
3 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
6636 KB |
Output is correct |
2 |
Correct |
23 ms |
6788 KB |
Output is correct |
3 |
Correct |
25 ms |
7056 KB |
Output is correct |
4 |
Correct |
3 ms |
588 KB |
Output is correct |
5 |
Correct |
4 ms |
536 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
23 ms |
6956 KB |
Output is correct |
10 |
Correct |
19 ms |
6864 KB |
Output is correct |
11 |
Correct |
22 ms |
6628 KB |
Output is correct |
12 |
Correct |
22 ms |
6484 KB |
Output is correct |
13 |
Correct |
22 ms |
6940 KB |
Output is correct |
14 |
Correct |
21 ms |
7228 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
24 ms |
4864 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
20 ms |
6532 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
19 ms |
6544 KB |
Output is correct |
9 |
Correct |
21 ms |
6604 KB |
Output is correct |
10 |
Correct |
20 ms |
6612 KB |
Output is correct |
11 |
Correct |
20 ms |
6692 KB |
Output is correct |
12 |
Correct |
20 ms |
6800 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
328 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
19 ms |
6788 KB |
Output is correct |
20 |
Correct |
21 ms |
6604 KB |
Output is correct |
21 |
Correct |
20 ms |
6660 KB |
Output is correct |
22 |
Correct |
19 ms |
6304 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
4 ms |
412 KB |
Output is correct |
4 |
Correct |
6 ms |
476 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
328 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
44 ms |
468 KB |
Output is correct |
11 |
Correct |
57 ms |
488 KB |
Output is correct |
12 |
Correct |
62 ms |
472 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
4 ms |
468 KB |
Output is correct |
15 |
Correct |
3 ms |
468 KB |
Output is correct |
16 |
Correct |
3 ms |
468 KB |
Output is correct |
17 |
Correct |
22 ms |
6636 KB |
Output is correct |
18 |
Correct |
23 ms |
6788 KB |
Output is correct |
19 |
Correct |
25 ms |
7056 KB |
Output is correct |
20 |
Correct |
3 ms |
588 KB |
Output is correct |
21 |
Correct |
4 ms |
536 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
23 ms |
6956 KB |
Output is correct |
26 |
Correct |
19 ms |
6864 KB |
Output is correct |
27 |
Correct |
22 ms |
6628 KB |
Output is correct |
28 |
Correct |
22 ms |
6484 KB |
Output is correct |
29 |
Correct |
22 ms |
6940 KB |
Output is correct |
30 |
Correct |
21 ms |
7228 KB |
Output is correct |
31 |
Correct |
3 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
24 ms |
4864 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
20 ms |
6532 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
19 ms |
6544 KB |
Output is correct |
39 |
Correct |
21 ms |
6604 KB |
Output is correct |
40 |
Correct |
20 ms |
6612 KB |
Output is correct |
41 |
Correct |
20 ms |
6692 KB |
Output is correct |
42 |
Correct |
20 ms |
6800 KB |
Output is correct |
43 |
Correct |
0 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
328 KB |
Output is correct |
47 |
Correct |
1 ms |
332 KB |
Output is correct |
48 |
Correct |
1 ms |
212 KB |
Output is correct |
49 |
Correct |
19 ms |
6788 KB |
Output is correct |
50 |
Correct |
21 ms |
6604 KB |
Output is correct |
51 |
Correct |
20 ms |
6660 KB |
Output is correct |
52 |
Correct |
19 ms |
6304 KB |
Output is correct |
53 |
Correct |
23 ms |
6552 KB |
Output is correct |
54 |
Correct |
23 ms |
6228 KB |
Output is correct |
55 |
Correct |
23 ms |
6392 KB |
Output is correct |
56 |
Correct |
3 ms |
468 KB |
Output is correct |
57 |
Correct |
3 ms |
468 KB |
Output is correct |
58 |
Correct |
82 ms |
5048 KB |
Output is correct |
59 |
Correct |
93 ms |
5136 KB |
Output is correct |
60 |
Correct |
121 ms |
5104 KB |
Output is correct |
61 |
Correct |
77 ms |
5100 KB |
Output is correct |
62 |
Correct |
88 ms |
5160 KB |
Output is correct |
63 |
Correct |
114 ms |
5076 KB |
Output is correct |
64 |
Correct |
125 ms |
5472 KB |
Output is correct |
65 |
Correct |
134 ms |
5468 KB |
Output is correct |
66 |
Correct |
170 ms |
5452 KB |
Output is correct |
67 |
Correct |
16 ms |
4820 KB |
Output is correct |
68 |
Correct |
25 ms |
6796 KB |
Output is correct |
69 |
Correct |
20 ms |
6752 KB |
Output is correct |
70 |
Correct |
22 ms |
6480 KB |
Output is correct |
71 |
Correct |
22 ms |
6604 KB |
Output is correct |
72 |
Correct |
22 ms |
6748 KB |
Output is correct |
73 |
Correct |
22 ms |
7036 KB |
Output is correct |
74 |
Correct |
27 ms |
6996 KB |
Output is correct |