#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define ALL(x) begin(x), end(x)
#define SZ(x) (int)(x).size()
#define st first
#define nd second
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;
#ifdef LOCAL
#define DTP(x, y) \
auto operator<<(auto &o, auto a)->decltype(y, o) \
{ \
o << "("; \
x; \
return o << ")"; \
}
DTP(o << a.first << ", " << a.second, a.second);
DTP(for (auto i : a) o << i << ", ", ALL(a));
void dump(auto... x) { ((cerr << x << ", "), ...) << '\n'; }
#define debug(x...) cerr << setw(4) << __LINE__ << ":[" #x "]: ", dump(x)
#else
#define debug(...) 42
#endif
void solve()
{
int n, m;
cin >> n >> m;
vi P(n);
for (auto &a : P)
cin >> a;
vector<vector<pii>> G(n);
while (m--)
{
int a, b, c;
cin >> a >> b >> c;
G[b - 1].push_back({a - 1, c});
}
vector<map<int, int>> M(n);
priority_queue<pair<int, pii>> Q;
Q.push({P.back(), {P.back(), n - 1}});
M.back()[P.back()] = P.back();
int ans = -1;
while (Q.size())
{
auto [a, b] = Q.top();
// debug(a, b);
Q.pop();
if (!b.second)
{
ans = max(ans, a / b.first);
if (b.first == 1)
break;
}
if (a <= ans)
break;
if (M[b.second][b.first] > a)
continue;
for (auto &[x, y] : G[b.second])
{
int d = min(P[x], b.first / y);
if (!d)
continue;
int val = d * (a / b.first) * y;
auto a = M[x].find(d);
if (a == M[x].end() || (*a).second < val)
{
Q.push({val, {d, x}});
M[x][d] = val;
}
}
}
cout << ans << endl;
}
main()
{
cin.tie(0)->sync_with_stdio(0);
cin.exceptions(cin.failbit);
int Z = 1;
cin >> Z;
while (Z--)
{
solve();
// if (!(Z % 100))
// debug(Z);
}
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 | #include <bits/stdc++.h> using namespace std; #define rep(i, a, b) for (int i = a; i < (b); ++i) #define ALL(x) begin(x), end(x) #define SZ(x) (int)(x).size() #define st first #define nd second typedef long long ll; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef vector<int> vi; typedef vector<ll> vl; #ifdef LOCAL #define DTP(x, y) \ auto operator<<(auto &o, auto a)->decltype(y, o) \ { \ o << "("; \ x; \ return o << ")"; \ } DTP(o << a.first << ", " << a.second, a.second); DTP(for (auto i : a) o << i << ", ", ALL(a)); void dump(auto... x) { ((cerr << x << ", "), ...) << '\n'; } #define debug(x...) cerr << setw(4) << __LINE__ << ":[" #x "]: ", dump(x) #else #define debug(...) 42 #endif void solve() { int n, m; cin >> n >> m; vi P(n); for (auto &a : P) cin >> a; vector<vector<pii>> G(n); while (m--) { int a, b, c; cin >> a >> b >> c; G[b - 1].push_back({a - 1, c}); } vector<map<int, int>> M(n); priority_queue<pair<int, pii>> Q; Q.push({P.back(), {P.back(), n - 1}}); M.back()[P.back()] = P.back(); int ans = -1; while (Q.size()) { auto [a, b] = Q.top(); // debug(a, b); Q.pop(); if (!b.second) { ans = max(ans, a / b.first); if (b.first == 1) break; } if (a <= ans) break; if (M[b.second][b.first] > a) continue; for (auto &[x, y] : G[b.second]) { int d = min(P[x], b.first / y); if (!d) continue; int val = d * (a / b.first) * y; auto a = M[x].find(d); if (a == M[x].end() || (*a).second < val) { Q.push({val, {d, x}}); M[x][d] = val; } } } cout << ans << endl; } main() { cin.tie(0)->sync_with_stdio(0); cin.exceptions(cin.failbit); int Z = 1; cin >> Z; while (Z--) { solve(); // if (!(Z % 100)) // debug(Z); } } |
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