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#include <bits/stdc++.h> | ||
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template<typename T> T gcd(T a, T b) { | ||
if(!b) return a; | ||
return gcd(b, a % b); | ||
} | ||
template<typename T> T lcm(T a, T b) { | ||
return a * b / gcd(a, b); | ||
} | ||
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template<typename T> void chmin(T& a, T b) { a = (a > b) ? b : a; } | ||
template<typename T> void chmax(T& a, T b) { a = (a < b) ? b : a; } | ||
int in() { int x; scanf("%d", &x); return x; } | ||
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using namespace std; | ||
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#ifdef ONLINE_JUDGE | ||
#define debug(args...) | ||
#else | ||
#define debug(args...) fprintf(stderr,args) | ||
#endif | ||
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typedef long long Int; | ||
typedef unsigned long long uInt; | ||
typedef unsigned uint; | ||
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const int MAXN = 1010; | ||
const double INF = 100010100100100100.0; | ||
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int N, M; | ||
double dist[MAXN]; | ||
vector<pair<int, pair<int, int> > > G[MAXN]; | ||
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double getDist(double tempo) { | ||
priority_queue<pair<double, int> > q; | ||
q.push(make_pair(0, 1)); | ||
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for (int i = 0; i < MAXN; i++) { | ||
dist[i] = INF; | ||
} | ||
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dist[1] = 0; | ||
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while (!q.empty()) { | ||
double curr_dist = -q.top().first; | ||
int now = q.top().second; | ||
q.pop(); | ||
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if (curr_dist > dist[now]) continue; | ||
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if (now == N) { | ||
break; | ||
} | ||
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for (int i = 0; i < (int) G[now].size(); i++) { | ||
int next = G[now][i].first; | ||
double next_dist = dist[now] + G[now][i].second.first * tempo + G[now][i].second.second; | ||
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if (dist[next] > next_dist) { | ||
dist[next] = next_dist; | ||
q.push(make_pair(-next_dist, next)); | ||
} | ||
} | ||
} | ||
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return dist[N]; | ||
} | ||
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int main(void) { | ||
while (cin >> N >> M) { | ||
for (int i = 0; i < MAXN; i++) { | ||
G[i].clear(); | ||
} | ||
for (int i = 0; i < M; i++) { | ||
int A, B, P, Q; | ||
cin >> A >> B >> P >> Q; | ||
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G[A].push_back(make_pair(B, make_pair(P, Q))); | ||
G[B].push_back(make_pair(A, make_pair(P, Q))); | ||
} | ||
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double l = 0, h = 24 * 60; | ||
double best = max(getDist(0), getDist(24 * 60)); | ||
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for (int x = 0; x < 100; x++) { | ||
double ll = l + (h - l) / 3.0; | ||
double hh = h - (h - l) / 3.0; | ||
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double dl = getDist(ll); | ||
double dh = getDist(hh); | ||
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//cout << fixed << setprecision(5) << ll << " " << hh << " " << dl << " " << dh << endl; | ||
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best = max(best, max(dl, dh)); | ||
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double sl = INF; | ||
double sh = INF; | ||
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for (int i = 0; i < N; i++) { | ||
for (int j = 0; j < (int) G[i].size(); j++) { | ||
sl = min(sl, G[i][j].second.first * ll + G[i][i].second.second); | ||
sh = min(sh, G[i][j].second.first * hh + G[i][i].second.second); | ||
} | ||
} | ||
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if (dl < dh) { | ||
l = ll; | ||
} else { | ||
h = hh; | ||
} | ||
} | ||
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cout << fixed << setprecision(5) << best << "\n"; | ||
} | ||
return 0; | ||
} |
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2 | ||
3 3 10 | ||
A 2 | ||
B 2 | ||
C 3 | ||
AA 10 | ||
AAA 30 | ||
ABC 60 | ||
14 8 200 | ||
M 2 | ||
I 3 | ||
R 2 | ||
A 1 | ||
O 2 | ||
E 2 | ||
C 2 | ||
L 2 | ||
F 1 | ||
V 2 | ||
Y 3 | ||
H 1 | ||
U 2 | ||
N 2 | ||
MIRACLE 100 | ||
FLUFFY 40 | ||
LOVE 100 | ||
IVY 10 | ||
VEN 30 | ||
AYE 20 | ||
HOE 10 | ||
EURO 80 | ||
2 1 | ||
1 2 1 0 | ||
5 8 | ||
1 2 27 610658 | ||
2 3 -48 529553 | ||
3 4 -6 174696 | ||
4 5 47 158238 | ||
3 5 84 460166 | ||
1 3 -21 74502 | ||
2 4 -13 858673 | ||
1 5 -90 473410 | ||
3 3 | ||
1 2 1 0 | ||
2 3 1 0 | ||
1 3 -1 1440 | ||
4 5 | ||
1 2 1 0 | ||
2 4 2 0 | ||
1 4 0 500 | ||
1 3 -1 1440 | ||
3 4 -2 2880 | ||
2 1 | ||
1 2 0 0 |