This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
using namespace std;
// using namespace __gnu_pbds;
// template<class T>
// using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T, class U>
void ckmin(T &a, U b)
{
if (a > b) a = b;
}
template<class T, class U>
void ckmax(T &a, U b)
{
if (a < b) a = b;
}
#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define SZ(x) ((int) (x).size())
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
typedef pair<pii, int> ppi;
const int MAXN = 100013;
int N, M, ans;
vector<ppi> edge[MAXN];
bitset<MAXN> seen;
int parent[MAXN], val[MAXN], depth[MAXN];
vi guys[32]; //set of edge ids that need to be xored by 2^i.
int res[32], group[32];
void dfs(int u)
{
seen[u] = true;
for (auto e : edge[u])
{
int v = e.se;
if (seen[v]) continue;
parent[v] = u;
depth[v] = depth[u] + 1;
val[v] = (val[u] ^ e.fi.fi);
dfs(v);
}
}
int32_t main()
{
cout << fixed << setprecision(12);
cerr << fixed << setprecision(4);
ios_base::sync_with_stdio(false); cin.tie(0);
cin >> N >> M;
FOR(i, 0, M)
{
int u, v, p;
cin >> u >> v >> p;
u--; v--;
edge[u].PB({{p, i}, v});
edge[v].PB({{p, i}, u});
}
parent[0] = N;
dfs(0);
FOR(u, 0, N)
{
for (auto e : edge[u])
{
int v = e.se;
if (v == parent[u] || depth[v] >= depth[u]) continue;
int c = (val[u] ^ val[v] ^ e.fi.fi);
FORD(j, 31, 0)
{
if (c & (1 << j))
{
guys[j].PB(e.fi.se);
// cerr << j << ' ' << e.fi.se << endl;
}
}
}
}
int done = 0;
FOR(i, 0, 31)
{
if (guys[i].empty()) continue;
if (done & (1 << i)) continue;
done |= (1 << i);
res[ans] = (1 << i);
group[ans] = i;
FOR(j, i + 1, 31)
{
if (guys[i] == guys[j])
{
res[ans] |= (1 << j);
done |= (1 << j);
}
}
ans++;
}
cout << ans << '\n';
FOR(i, 0, ans)
{
cout << res[i] << ' ' << SZ(guys[group[i]]);
for (int x : guys[group[i]])
{
cout << ' ' << x + 1;
}
cout << '\n';
}
return 0;
}
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