#include <bits/stdc++.h>
using namespace std;
#define all(x) begin(x),end(x)
#define pb push_back
#define st first
#define nd second
typedef long long ll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
const int INF = 2e9;
const ll LLINF = 2e18;
void bfs(const vector<vector<pii>>& G, vll& minVal)
{
priority_queue<pll,vector<pll>,greater<pll>> q;
q.push({1,0});
minVal[0]=1;
while(!q.empty())
{
auto[c,v]=q.top(); q.pop();
if(c!=minVal[v])
continue;
for(auto[u,w]: G[v])
if(minVal[u]>c*(ll)w)
{
minVal[u]=c*(ll)w;
q.push({minVal[u],(ll)u});
}
}
}
void dfs(const vector<vector<pii>>& G, vll& mx, vector<set<ll>>& tested, const vll& p, int v, ll c)
{
if(c>p[v] || tested[v].contains(c))
return;
mx[v]=max(mx[v],c);
tested[v].insert(c);
for(auto[u,w]: G[v])
dfs(G,mx,tested,p,u,c*(ll)w);
}
void solve()
{
int n,m;
scanf("%d%d",&n,&m);
vll p(n);
for(auto& x:p)
scanf("%lld",&x);
vector<vector<pii>> G(n);
for(int i=0; i<m; ++i)
{
int a,b,w;
scanf("%d%d%d",&a,&b,&w);
bool exists=false;
for(auto e:G[a-1])
if(e.st==b-1 && e.nd==w)
{
exists=true;
break;
}
if(!exists)
G[a-1].pb({b-1,w});
}
vll minVal(n,INF);
bfs(G,minVal);
if(minVal[n-1]>p[n-1])
{
printf("-1\n");
return;
}
vll mx(n,-1);
vector<set<ll>> tested(n);
dfs(G,mx,tested,p,0,1);
printf("%lld\n",mx[n-1]);
}
int main()
{
int z;
scanf("%d",&z);
while(z--)
solve();
return 0;
}
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 | #include <bits/stdc++.h> using namespace std; #define all(x) begin(x),end(x) #define pb push_back #define st first #define nd second typedef long long ll; typedef vector<int> vi; typedef vector<ll> vll; typedef pair<int,int> pii; typedef pair<ll,ll> pll; const int INF = 2e9; const ll LLINF = 2e18; void bfs(const vector<vector<pii>>& G, vll& minVal) { priority_queue<pll,vector<pll>,greater<pll>> q; q.push({1,0}); minVal[0]=1; while(!q.empty()) { auto[c,v]=q.top(); q.pop(); if(c!=minVal[v]) continue; for(auto[u,w]: G[v]) if(minVal[u]>c*(ll)w) { minVal[u]=c*(ll)w; q.push({minVal[u],(ll)u}); } } } void dfs(const vector<vector<pii>>& G, vll& mx, vector<set<ll>>& tested, const vll& p, int v, ll c) { if(c>p[v] || tested[v].contains(c)) return; mx[v]=max(mx[v],c); tested[v].insert(c); for(auto[u,w]: G[v]) dfs(G,mx,tested,p,u,c*(ll)w); } void solve() { int n,m; scanf("%d%d",&n,&m); vll p(n); for(auto& x:p) scanf("%lld",&x); vector<vector<pii>> G(n); for(int i=0; i<m; ++i) { int a,b,w; scanf("%d%d%d",&a,&b,&w); bool exists=false; for(auto e:G[a-1]) if(e.st==b-1 && e.nd==w) { exists=true; break; } if(!exists) G[a-1].pb({b-1,w}); } vll minVal(n,INF); bfs(G,minVal); if(minVal[n-1]>p[n-1]) { printf("-1\n"); return; } vll mx(n,-1); vector<set<ll>> tested(n); dfs(G,mx,tested,p,0,1); printf("%lld\n",mx[n-1]); } int main() { int z; scanf("%d",&z); while(z--) solve(); return 0; } |
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