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#include<iostream>
#include<vector>
#include<map>
#include<string>
#include<cstring>
#include<cstdio>
#include<algorithm>
#include<set>
#include<queue>
#include<unordered_map>
#include<cmath>
using namespace std;
int G[201][201], ans = 99999999, endi;
int main()
{
int n, m, t1, t2, t;
cin >> n >> m;
for (int i = 0; i < m; i++)
{
cin >> t1 >> t2 >> t;
G[t1][t2] = t;
G[t2][t1] = t;
}
int q,p;
cin >> q; vector<int>v;
for (int i=1; i <= q; i++)
{
cin >> p;
int flag = 1, sum = 0; v.clear();
set<int>s;
for (int j = 0; j < p; j++)
{
cin >> t;
v.push_back(t);
s.insert(v[j]);
}
for (int j = 0; j < p - 1; j++)
{
if (G[v[j]][v[j + 1]] == 0)
flag = 0;
sum += G[v[j]][v[j + 1]];
}
if (flag == 0)
{
printf("Path %d: NA (Not a TS cycle)
", i);
}
else if (v[0] != v[p - 1] || s.size() != n)
{
printf("Path %d: %d (Not a TS cycle)
", i,sum);
}
else if (p != n + 1)
{
printf("Path %d: %d (TS cycle)
", i, sum);
if (sum < ans)
{
ans = sum;
endi = i;
}
}
else
{
printf("Path %d: %d (TS simple cycle)
", i, sum);
if (sum < ans) {
ans = sum;
endi = i;
}
}
}
printf("Shortest Dist(%d) = %d
", endi, ans);
return 0;
}