#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
random_device(rd);
mt19937 rng(rd());
const long long FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
struct custom_hash
{
template<class T>
unsigned long long operator()(T v) const
{
unsigned long long x = v;
x += FIXED_RANDOM;
// x += 11400714819323198485ull;
// x = (x ^ (x >> 30)) * 13787848793156543929ull;
x = (x ^ (x >> 27)) * 10723151780598845931ull;
return x ^ (x >> 31);
}
};
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> using hash_table = gp_hash_table<T, U, custom_hash>;
template<class T>
T randomize(T mod)
{
return (uniform_int_distribution<T>(0, mod - 1))(rng);
}
template<class T>
void readi(T &x)
{
x = 0;
bool negative = false;
char c = ' ';
while (c < '-')
{
c = getchar();
}
if (c == '-')
{
negative = true;
c = getchar();
}
while (c >= '0')
{
x = x * 10 + (c - '0');
c = getchar();
}
if (negative)
{
x = -x;
}
}
template<class T>
void printi(T output)
{
if (output == 0)
{
putchar('0');
return;
}
if (output < 0)
{
putchar('-');
output = -output;
}
int buf[20], n = 0;
while(output)
{
buf[n] = ((output % 10));
output /= 10;
n++;
}
for (n--; n >= 0; n--)
{
putchar(buf[n] + '0');
}
return;
}
template<class T>
void ckmin(T &a, T b)
{
a = min(a, b);
}
template<class T>
void ckmax(T &a, T b)
{
a = max(a, b);
}
long long expo(long long a, long long e, long long mod)
{
return ((e == 0) ? 1 : ((expo(a * a % mod, e >> 1, mod)) * ((e & 1) ? a : 1) % mod));
}
template<class T, class U>
void nmod(T &x, U mod)
{
if (x >= mod) x -= mod;
}
template<class T>
T gcd(T a, T b)
{
return (b ? gcd(b, a % b) : a);
}
#define y0 ___y0
#define y1 ___y1
#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define DBG(x) cerr << #x << " = " << (x) << endl
#define SZ(x) ((int) ((x).size()))
#define FOR(i, a, b) for (auto i = (a), i##__end__ = (b); i < i##__end__; i++)
#define FORD(i, a, b) for (auto i = (a) - 1, i##__end__ = (b); i >= i##__end__; i--)
#define ALL(x) (x).begin(), (x).end()
const long double PI = 4.0 * atan(1.0);
const long double EPS = 1e-9;
#define MAGIC 347
#define SINF 10007
#define CO 1000007
#define INF 1000000007
#define BIG 1000000931
#define LARGE 1696969696967ll
#define GIANT 2564008813937411ll
#define LLINF 2696969696969696969ll
#define MAXN 200013
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pdd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<ld> vd;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
typedef vector<pdd> vpd;
int N, K, T, V;
vi edge[MAXN];
pii bound[MAXN];
int parent[MAXN];
int ancestor[25][MAXN];
pii dup[25][MAXN];
int st[MAXN], ft[MAXN], depth[MAXN];
int ans[MAXN];
vpi edge1[MAXN];
bitset<MAXN> vis;
bool insubt(int u, int v)
{
return (u == N) || (st[u] <= st[v] && st[v] <= ft[u]);
}
void dfs(int u)
{
st[u] = ft[u] = T;
T++;
for (int v : edge[u])
{
if (v == parent[u]) continue;
parent[v] = u;
depth[v] = depth[u] + 1;
dfs(v);
ft[u] = ft[v];
}
}
int lca(int u, int v)
{
//how far up does v go before u
if (insubt(v, u)) return -1;
FORD(i, 20, 0)
{
if (!insubt(ancestor[i][v], u))
{
v = ancestor[i][v];
}
}
return v;
}
void work(int u)
{
if (vis[u]) return;
vis[u] = true;
for (pii p : edge1[u])
{
if (ans[p.se] != 0 && ans[p.se] != V - 1) continue;
ans[p.se] = p.fi;
work(p.fi);
}
}
int32_t main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
// cout << fixed << setprecision(10);
// cerr << fixed << setprecision(10);
// if (fopen("file.in", "r"))
// {
// freopen ("file.in", "r", stdin);
// freopen ("file.out", "w", stdout);
// }
cin >> N;
FOR(i, 0, N - 1)
{
int u, v; cin >> u >> v; u--; v--;
edge[u].PB(v);
edge[v].PB(u);
}
parent[0] = N; dfs(0);
FOR(i, 0, 22)
{
ancestor[i][N] = N;
}
FOR(i, 0, N)
{
ancestor[0][i] = parent[i];
dup[0][i] = {-INF, INF};
}
FOR(i, 1, 21)
{
FOR(j, 0, N)
{
ancestor[i][j] = ancestor[i - 1][ancestor[i - 1][j]];
dup[i][j] = {-INF, INF};
}
}
cin >> K;
while(K--)
{
int u, v, val;
char typ;
cin >> typ >> u >> v >> val; u--; v--;
if (typ == 'm')
{
int w = lca(u, v), diff = depth[v] - depth[w] + 1;
if (w != -1)
{
int x = v;
FORD(i, 20, 0)
{
if (diff & (1 << i))
{
ckmax(dup[i][x].fi, val);
x = ancestor[i][x];
}
}
}
w = lca(v, u);
if (w != -1)
{
int x = u, diff = depth[u] - depth[w] + 1;
FORD(i, 20, 0)
{
if (diff & (1 << i))
{
ckmax(dup[i][x].fi, val);
x = ancestor[i][x];
}
}
}
}
if (typ == 'M')
{
int w = lca(u, v);
if (w != -1)
{
int x = v, diff = depth[v] - depth[w] + 1;
FORD(i, 20, 0)
{
if (diff & (1 << i))
{
ckmin(dup[i][x].se, val);
x = ancestor[i][x];
}
}
}
w = lca(v, u);
if (w != -1)
{
int x = u, diff = depth[u] - depth[w] + 1;
FORD(i, 20, 0)
{
if (diff & (1 << i))
{
ckmin(dup[i][x].se, val);
x = ancestor[i][x];
}
}
}
}
}
FORD(i, 20, 1)
{
FOR(j, 0, N)
{
ckmin(dup[i - 1][j].se, dup[i][j].se);
ckmin(dup[i - 1][ancestor[i - 1][j]].se, dup[i][j].se);
ckmax(dup[i - 1][j].fi, dup[i][j].fi);
ckmax(dup[i - 1][ancestor[i - 1][j]].fi, dup[i][j].fi);
}
}
FOR(i, 0, N)
{
bound[i] = dup[0][i];
// cerr << bound[i].fi << ' ' << bound[i].se << endl;
}
vi compress;
//you can have one or the other, but not both!
FOR(i, 1, N)
{
compress.PB(bound[i].fi);
compress.PB(bound[i].se);
}
compress.PB(-INF); compress.PB(INF);
sort(ALL(compress));
compress.erase(unique(ALL(compress)), compress.end());
V = SZ(compress);
FOR(i, 1, N)
{
bound[i].fi = LB(ALL(compress), bound[i].fi) - compress.begin();
bound[i].se = LB(ALL(compress), bound[i].se) - compress.begin();
if (bound[i] == MP(0, V - 1)) continue;
edge1[bound[i].fi].PB({bound[i].se, i});
edge1[bound[i].se].PB({bound[i].fi, i});
}
work(0);
work(V - 1);
FOR(i, 1, V - 1)
{
if (vis[i]) continue;
pii p = edge1[i][0];
ans[p.se] = i;
// cerr << "ans" << p.se << " = " << i << endl;
work(i);
}
bitset<MAXN> VIS; VIS.reset();
FOR(i, 1, N)
{
VIS[ans[i]] = true;
}
FOR(i, 1, V - 1)
{
assert(VIS[i]);
}
FOR(i, 1, N)
{
cout << i + 1 << ' ' << parent[i] + 1 << ' ' << (ans[i] == 0 ? randomize(INF) : compress[ans[i]]) << '\n';
}
//we don't need to worry about 0 and V-1, but other ones we must satisfy
// cerr << "time elapsed = " << (clock() / (CLOCKS_PER_SEC / 1000)) << " ms" << endl;
return 0;
}
/* READ READ READ
* int overflow, maxn too small, special cases (n=1?, two distinct?), cin.tie() interactive
* reread the problem, try small cases
* note down possible sources of error as you go
* do smth instead of nothing
*/
Compilation message
minmaxtree.cpp: In function 'int32_t main()':
minmaxtree.cpp:249:48: warning: array subscript is below array bounds [-Warray-bounds]
int w = lca(u, v), diff = depth[v] - depth[w] + 1;
~~~~~~~^
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
10 ms |
10104 KB |
Output is correct |
| 2 |
Correct |
11 ms |
9976 KB |
Output is correct |
| 3 |
Correct |
11 ms |
10104 KB |
Output is correct |
| 4 |
Correct |
10 ms |
10020 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
261 ms |
37836 KB |
Output is correct |
| 2 |
Correct |
170 ms |
36076 KB |
Output is correct |
| 3 |
Correct |
232 ms |
36844 KB |
Output is correct |
| 4 |
Correct |
265 ms |
38124 KB |
Output is correct |
| 5 |
Correct |
256 ms |
36848 KB |
Output is correct |
| 6 |
Correct |
239 ms |
36968 KB |
Output is correct |
| 7 |
Correct |
194 ms |
36188 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
115 ms |
34540 KB |
Output is correct |
| 2 |
Correct |
111 ms |
36080 KB |
Output is correct |
| 3 |
Correct |
130 ms |
36972 KB |
Output is correct |
| 4 |
Correct |
161 ms |
37740 KB |
Output is correct |
| 5 |
Correct |
153 ms |
36332 KB |
Output is correct |
| 6 |
Correct |
152 ms |
36716 KB |
Output is correct |
| 7 |
Correct |
124 ms |
36368 KB |
Output is correct |
| 8 |
Correct |
123 ms |
36336 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
10 ms |
10104 KB |
Output is correct |
| 2 |
Correct |
11 ms |
9976 KB |
Output is correct |
| 3 |
Correct |
11 ms |
10104 KB |
Output is correct |
| 4 |
Correct |
10 ms |
10020 KB |
Output is correct |
| 5 |
Correct |
261 ms |
37836 KB |
Output is correct |
| 6 |
Correct |
170 ms |
36076 KB |
Output is correct |
| 7 |
Correct |
232 ms |
36844 KB |
Output is correct |
| 8 |
Correct |
265 ms |
38124 KB |
Output is correct |
| 9 |
Correct |
256 ms |
36848 KB |
Output is correct |
| 10 |
Correct |
239 ms |
36968 KB |
Output is correct |
| 11 |
Correct |
194 ms |
36188 KB |
Output is correct |
| 12 |
Correct |
115 ms |
34540 KB |
Output is correct |
| 13 |
Correct |
111 ms |
36080 KB |
Output is correct |
| 14 |
Correct |
130 ms |
36972 KB |
Output is correct |
| 15 |
Correct |
161 ms |
37740 KB |
Output is correct |
| 16 |
Correct |
153 ms |
36332 KB |
Output is correct |
| 17 |
Correct |
152 ms |
36716 KB |
Output is correct |
| 18 |
Correct |
124 ms |
36368 KB |
Output is correct |
| 19 |
Correct |
123 ms |
36336 KB |
Output is correct |
| 20 |
Runtime error |
195 ms |
70744 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
| 21 |
Halted |
0 ms |
0 KB |
- |
