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Cod sursa(job #433499)
#include<cstdio>
#include<vector>
#include<algorithm>
using namespace std;
#define mp make_pair
#define pb push_back
#define N 50100
#define ls(st) st << 1
#define F first
#define S second
#define INF 0x3f3f3f3f
vector < pair <int, int> > a[N];
int n, m, k, t, s, d2[N], poz[N], h[N], d[N];
void citire(), dijkstra(), rezolva();
int main(){
freopen("distante.in","r",stdin);
freopen("distante.out","w",stdout);
scanf("%d", &t);
for ( ;t; --t) rezolva();
return 0;
}
void citire(){
int i, x, y, z;
scanf("%d %d %d", &n, &m, &s);
for (i = 1; i <= n; i++){
scanf("%d", &d2[i]);
a[i].clear();
}
for (i = 1; i <= m; ++i){
scanf("%d %d %d", &x, &y, &z);
a[x].pb(mp(y,z));
}
}
void upheap(int w){
int father;
while (w > 1){
father = w >> 1;
if (d[h[w]] < d[h[father]]){
swap(poz[h[w]], poz[h[father]]);
swap(h[w], h[father]);
w = father;
}
else
return;
}
}
void downheap(int w){
int son;
while (ls(w) <= k){
son = ls(w);
if (son+1 <= k)
if (d[h[son]] > d[h[son+1]])
++son;
if (d[h[w]] > d[h[son]]){
swap(poz[h[w]], poz[h[son]]);
swap(h[w], h[son]);
w = son;
}
else
return;
}
}
void dijkstra(){
int i, min, nod2, cost2;
for (i = 1; i <= n; ++i) poz[i] = -1, d[i] = INF;
d[s] = 0; poz[s] = 1; h[1] = s; k = 1;
while (k){
min = h[1];
swap(h[1], h[k]);
poz[h[1]] = 1;
--k;
downheap(1);
for (i = 0; i < a[min].size(); ++i){
nod2 = a[min][i].F; cost2 = a[min][i].S;
if (d[min] + cost2 < d[nod2]){
d[nod2] = d[min] + cost2;
if (poz[nod2] == -1){
++k;
poz[nod2] = k;
h[k] = nod2;
upheap(k);
}
else
upheap(poz[nod2]);
}
}
}
}
void rezolva(){
citire();
dijkstra();
int i, ok = 1;
for (i = 1; i <= n; ++i)
if (d[i] != d2[i]){
ok = 0; break;
}
if (ok) printf("DA\n");
else printf("NU\n");
}