//{ <defines>
#include <bits/stdc++.h>
using namespace std;
//#pragma comment(linker, "/stack:200000000")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
//#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,-O3")
#define fr(i, n) for(int i = 0; i < n; ++i)
#define fo(n) fr(i, n)
#define re return
#define ef else if
#define ifn(x) if(!(x))
#define _ << ' ' <<
#define ft first
#define sd second
#define ve vector
#define pb push_back
#define eb emplace_back
#define sz(x) int((x).size())
#define ip2(x) (1 << (x))
#define lp2(x) (1ll << (x))
#define bnd(x) x.begin(), x.end()
#define clr(x, y) memset((x), (y), sizeof (x))
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef ve<int> vi;
inline ll time() {re chrono :: system_clock().now().time_since_epoch().count();}
mt19937 rnd(time());
mt19937_64 RND(time());
template<typename t> inline void umin(t &a, t b) {a = min(a, b);}
template<typename t> inline void umax(t &a, t b) {a = max(a, b);}
int md = 998244353;
inline int m_add(int&a, int b) {a += b; if(a < 0) a += md; if(a >= md) a -= md; re a;}
inline int m_sum(int a, int b) {a += b; if(a < 0) a += md; if(a >= md) a -= md; re a;}
inline int m_mul(int&a, int b) {re a = 1ll * a * b % md;}
inline int m_prod(int a, int b) {re 1ll * a * b % md;}
int m_bpow(ll A, ll b) {
int a = A % md;
ll ans = 1;
for(ll p = lp2(63 - __builtin_clzll(b)); p; p >>= 1) {
(ans *= ans) %= md;
if(p & b)
(ans *= a) %= md;
}
re ans;
}
//const ld pi = arg(complex<ld>(-1, 0));
//const ld pi2 = pi + pi;
const int oo = 2e9;
const ll OO = 4e18;
//} </defines>
const int N = 1e5 + 5;
int n, m, f;
int x[N], y[N], w[N], xr[N], c[N], nm[N], p[N];
vi g[N];
bool mk[N];
int get(int i) {re p[i] == i ? i : p[i] = get(p[i]);}
void unite(int i, int j) {p[get(i)] = get(j);}
void rec(int v = 0, int pr = -1, int X = 0) {
xr[v] = X;
for(int i : g[v]) {
int u = x[i] == v ? y[i] : x[i];
if(u == pr) continue;
rec(u, v, X ^ w[i]);
}
}
void solve() {
cin >> n >> m;
fo(n) p[i] = i;
fo(n) g[i].clear();
fo(m) {
cin >> x[i] >> y[i] >> w[i];
--x[i], --y[i];
mk[i] = false;
if(get(x[i]) != get(y[i])) {
mk[i] = true;
unite(x[i], y[i]);
g[x[i]].pb(i);
g[y[i]].pb(i);
}
}
rec();
int f = 0;
fo(m) if(!mk[i]) {
c[f] = w[i] ^ xr[x[i]] ^ xr[y[i]];
nm[f++] = i;
}
ve<vi> ans;
for(int pw = 1 << 29; pw; pw >>= 1) {
int e = -1;
fo(f) if(c[i] & pw) e = c[i];
if(e < 0) continue;
ans.eb();
ans.back().pb(e);
vi u;
fo(f) if(c[i] & pw) c[i] ^= e, u.pb(nm[i] + 1);
ans.back().pb(sz(u));
for(int i : u) ans.back().pb(i);
}
cout << sz(ans) << endl;
for(vi &t : ans) {
for(int i : t) cout << i << ' ';
cout << '\n';
}
}
int main() {
#ifdef _LOCAL
freopen("in.txt", "r", stdin);
int tests; cin >> tests;
for(int test = 1; test <= tests; ++test) {
cerr << test << " {\n";
solve();
cerr << "}\n\n";
}
#else
//freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout);
ios_base :: sync_with_stdio(0); cin.tie(0); cout.tie(0);
solve();
#endif
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
33 ms |
5624 KB |
Output is correct |
2 |
Correct |
42 ms |
6144 KB |
Output is correct |
3 |
Correct |
11 ms |
3328 KB |
Output is correct |
4 |
Correct |
12 ms |
3456 KB |
Output is correct |
5 |
Correct |
100 ms |
10488 KB |
Output is correct |
6 |
Correct |
89 ms |
10104 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
17 ms |
3968 KB |
Output is correct |
2 |
Correct |
19 ms |
4076 KB |
Output is correct |
3 |
Correct |
25 ms |
4736 KB |
Output is correct |
4 |
Correct |
28 ms |
4992 KB |
Output is correct |
5 |
Correct |
73 ms |
7672 KB |
Output is correct |
6 |
Correct |
40 ms |
6144 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
47 ms |
6884 KB |
Output is correct |
2 |
Correct |
61 ms |
7672 KB |
Output is correct |
3 |
Correct |
6 ms |
2688 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
71 ms |
8312 KB |
Output is correct |
2 |
Correct |
100 ms |
11332 KB |
Output is correct |
3 |
Correct |
8 ms |
2816 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
58 ms |
7416 KB |
Output is correct |
2 |
Correct |
73 ms |
7928 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
83 ms |
9240 KB |
Output is correct |
2 |
Correct |
48 ms |
6392 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
87 ms |
9080 KB |
Output is correct |
2 |
Correct |
90 ms |
10420 KB |
Output is correct |
3 |
Correct |
71 ms |
7672 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
107 ms |
11640 KB |
Output is correct |
2 |
Correct |
130 ms |
13516 KB |
Output is correct |
3 |
Correct |
122 ms |
12260 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
27 ms |
5248 KB |
Output is correct |
2 |
Correct |
40 ms |
5752 KB |
Output is correct |
3 |
Correct |
80 ms |
9208 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
104 ms |
9720 KB |
Output is correct |
2 |
Correct |
55 ms |
6904 KB |
Output is correct |
3 |
Correct |
112 ms |
11504 KB |
Output is correct |