SCC to determine if input graph is single, SCC
// Problem # : 11838
// Created on : 2018-08-06 03:31:02
#include <bits/stdc++.h>
#define REP(i, n) for (int i = 0; i < (int)n; ++i)
#define FOR(i, c) \
for (__typeof((c).begin()) i = (c).begin(); i != (c).end(); ++i)
#define ALL(c) (c).begin(), (c).end()
#define UNIQUE(c) (c).resize(unique(ALL(c)) - (c).begin())
using namespace std;
typedef long long ll;
typedef pair<int, int> ii; // pair of ints
typedef vector<int> vi; // 1d vector of ints
typedef vector<ii> vii; // 1d vector of pairs
typedef vector<vi> vvi; // 2d vector of ints
// Normal SCC (Tarjan's) to determine if the input graph is a single, strongly
// connected component.
vi lo, num, stk, vis;
int depth, num_scc;
vvi g;
void scc(int u) {
lo[u] = num[u] = depth++;
vis[u] = 1;
stk.push_back(u);
for (auto &v : g[u]) {
if (num[v] == -1)
scc(v);
if (vis[v])
lo[u] = min(lo[u], lo[v]);
}
if (lo[u] == num[u]) {
num_scc++;
for (;;) {
int v = stk.back();
stk.pop_back();
vis[v] = 0;
if (u == v)
break;
}
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n, m;
while (cin >> n >> m && (n || m)) {
g.assign(n, vi());
REP(i, m) {
int u, v, p;
cin >> u >> v >> p;
u--, v--;
g[u].push_back(v);
if (p == 2)
g[v].push_back(u);
}
depth = num_scc = 0;
num.assign(n, -1);
lo.assign(n, 0);
stk.clear();
vis.assign(n, 0);
REP(i, n) {
if (num[i] == -1) {
scc(i);
}
}
// If there is only 1 SCC, correct -> print 1; 0 otherwise
cout << (num_scc == 1 ? 1 : 0) << endl;
}
return 0;
}