#include <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
#define in(x) freopen(x, "r", stdin)
#define out(x) freopen(x, "w", stdout)
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("-O3")
#define F first
#define S second
#define pb push_back
#define N +100500
#define M ll(1e9 + 7)
#define sz(x) (int)x.size()
#define re return
#define oo ll(1e9)
#define el '\n'
#define pii pair <int, int>
#define err ld(1e-9)
using namespace std;
//using namespace __gnu_pbds;
//typedef tree <int, null_type, less_equal <int> , rb_tree_tag, tree_order_statistics_node_update> ordered_set;
typedef long long ll;
typedef long double ld;
ll ans[N], A[N], B[N], x, y, u, v, i, j, n, m;
vector <pair <int, int> > g[N];
ld cs, sn;
pair <ld, pair <int, int> > dist[N];
set <pair <ld, int> > q;
int main()
{
srand(time(0));
ios_base::sync_with_stdio(0);
iostream::sync_with_stdio(0);
ios::sync_with_stdio(0);
cin.tie(NULL);
cout.tie(NULL);
// in("input.txt");
// out("output.txt");
cin >> n >> m;
for (i = 1; i <= m; i++)
{
cin >> v >> u >> A[i] >> B[i];
g[u].pb({v, i});
g[v].pb({u, i});
}
for (i = 1; i <= n; i++) ans[i] = 1e18;
sn = 1;
cs = 0;
while (1)
{
for (i = 1; i <= n; i++) dist[i] = {1e18, {1e9, 1e9}};
q.insert({0.0, 1});
dist[1] = {0.0, {0, 0}};
while (sz(q))
{
int v = (*q.begin()).S;
q.erase(q.begin());
for (auto to : g[v])
{
int u = to.F;
int i = to.S;
ld new_dist = dist[v].F + sn * ld(A[i]) + cs * ld(B[i]);
if (new_dist + err < dist[u].F)
{
q.erase({dist[u].F, u});
dist[u] = {new_dist, {dist[v].S.F + A[i], dist[v].S.S + B[i]}};
q.insert({dist[u].F, u});
}
}
}
ld new_sin = 0;
for (v = 1; v <= n; v++)
{
if (dist[v].F == 1e18) continue;
if (v > 1)
ans[v] = min(ans[v], ll(dist[v].S.F * dist[v].S.S));
for (auto to : g[v])
{
int u = to.F;
int i = to.S;
ll s = (dist[v].S.F + A[i]) - dist[u].S.F;
ll c = (dist[v].S.S + B[i]) - dist[u].S.S;
if (s == c) continue;
ld maybe = ld(c) / (ld(c) - ld(s));
if (maybe + err < sn && maybe > new_sin)
new_sin = maybe;
}
}
if (new_sin >= sn) break;
sn = new_sin;
cs = 1 - sn;
}
for (i = 2; i <= n; i++)
if (ans[i] == 1e18)
cout << "-1" << el;
else cout << ans[i] << el;
}
/*
8 8
...).).*
*....)..
.)*(..).
(*)((...
.)).)(..
.)(.)..(
...).(.*
M.......
*/
//
//110000
//1100
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
2688 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
2688 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
2816 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
2560 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
94 ms |
2944 KB |
Output is correct |
2 |
Correct |
182 ms |
2792 KB |
Output is correct |
3 |
Correct |
45 ms |
2936 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
24 ms |
2816 KB |
Output is correct |
2 |
Correct |
30 ms |
2816 KB |
Output is correct |
3 |
Correct |
43 ms |
2816 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
220 ms |
3064 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
381 ms |
2944 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
172 ms |
2936 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
221 ms |
2944 KB |
Output is correct |
2 |
Incorrect |
273 ms |
2944 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |