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Cod sursa(job #504631)
#include<cstdio>
#include<queue>
#include<vector>
#include<algorithm>
#define oo 1<<20
#define mp make_pair
#define MAXN 50005
using namespace std;
int T,n,m,s,i,a,b,c,D[MAXN],Dmi[MAXN],v[MAXN],u[MAXN];
vector<pair<int, int> > C[MAXN];
queue<int> Q;
void read(),bford();
int main()
{
freopen("distante.in","r",stdin);
freopen("distante.out","w",stdout);
scanf("%d",&T);
for(;T;T--)
read(),bford();
return 0;
}
void read()
{
scanf("%d%d%d",&n,&m,&s);
for(i=1;i<=n;i++)scanf("%d",&Dmi[i]);
for(i=1;i<=m;i++)scanf("%d%d%d",&a,&b,&c),C[a].push_back(mp(b,c)),C[b].push_back(mp(a,c));
}
void bford()
{
int node, nnode;
vector<pair<int,int> >::iterator it;
for(i=1;i<=n;i++)D[i]=oo,v[i]=0,u[i]=0;
Q.push(s);
v[s]=u[s]=1;D[s]=0;
while(!Q.empty())
{
node = Q.front();Q.pop();
v[node]=0;
for(it=C[node].begin();it!=C[node].end();it++)
{
nnode = it->first;
if(D[nnode]>D[node]+it->second)
{
D[nnode]=D[node]+it->second;
if(!v[nnode])
{
v[nnode]=1;
if(u[nnode]>n)return;
u[nnode]++;
Q.push(nnode);
}
}
}
}
for(i=1;i<=n;i++)
if(D[i]!=Dmi[i])
{printf("NU\n");return;}
printf("DA\n");
}