#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#include <cstdio>
using namespace std;
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
#define sz(x) (int((x).size()))
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define blt(x) __builtin_popcount(x)
#define pb push_back
#define popf pop_front
#define popb pop_back
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(T v[],V n) {cerr << "["; for(int i = 0; i < n; i++) {print(v[i]); cerr << " "; } cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
fastIO();
if (str != "") {
freopen((str + ".in").c_str(), "r", stdin);
freopen((str + ".out").c_str(), "w", stdout);
}
}
// Indexed Set
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const int N = 4e5 + 10, inf = 1e9 + 10, LOG = 21;
vector<pair<int, int>> adj[N];
long long ans[N], sz[N];
vector<int> qq[N], qx[N];
bool pp[N], used[N];
int n, q, compSize;
int up[N][LOG], in[N][LOG], dw[N][LOG];
int par[N], depths[N];
struct query {
char type;
int x, y;
};
vector<query> queries;
void dfsik(int node, int parent) {
for(auto i: adj[node]) {
if(i.first == parent) continue;
up[i.first][0] = node;
for(int j = 1; j < LOG; j++) {
up[i.first][j] = up[up[i.first][j - 1]][j - 1];
}
in[i.first][0] = node;
if(par[node] > i.second) {
for(int j = 1; j < LOG; j++) {
in[i.first][j] = in[in[i.first][j - 1]][j - 1];
}
}
dw[i.first][0] = node;
if(par[node] < i.second) {
for(int j = 1; j < LOG; j++) {
dw[i.first][j] = dw[dw[i.first][j - 1]][j - 1];
}
}
par[i.first] = i.second;
depths[i.first] = depths[node] + 1;
dfsik(i.first, node);
}
}
int lca(int a, int b) {
if(a == b) {
return a;
}
if(depths[a] > depths[b]) {
swap(a, b);
}
int delta = depths[b] - depths[a];
for(int i = 0; i < LOG; i++) {
if(delta & (1 << i)) {
b = up[b][i];
}
}
if(a == b) {
return a;
}
for(int i = LOG - 1; i >= 0; i--) {
if(up[a][i] != up[b][i]) {
a = up[a][i], b = up[b][i];
}
}
return up[a][0];
}
int go_up(int a, int b) {
for(int i = 0; i < LOG; i++) {
if(b & (1 << i)) {
a = up[a][i];
}
}
return a;
}
int chk(int a, int b, int lst, int lim) {
if(a == b) {
return 1;
}
int ok = 0;
for(auto i: adj[a]) {
if(i.second > lim) continue;
if(i.second > lst) {
ok |= chk(i.first, b, i.second, lim);
}
}
return ok;
}
bool check(int a, int b, int tt) {
if(a == b) {
return true;
}
int lc = lca(a, b), ok = 1;
int first = depths[a] - depths[lc];
int aa = a;
for(int i = 0; i < LOG; i++) {
if(first & (1 << i)) {
if(!in[aa][i]) {
ok = 0;
} else {
aa = in[aa][i];
}
}
}
int second = depths[b] - depths[lc];
int bb = b;
for(int i = 0; i < LOG; i++) {
if(second & (1 << i)) {
if(!dw[bb][i]) {
ok = 0;
} else {
bb = dw[bb][i];
}
}
}
if(aa != bb) {
return 0;
}
assert(ok == 1);
if(lc == a || lc == b) {
// if(lc == a && par[b] > tt) {
// ok = 0;
// } else if(lc == b) {
// int na = go_up(a, first - 1);
// if(par[na] > tt) {
// ok = 0;
// }
// }
return chk(a, b, -1, tt);
} else {
int pr = chk(a, b, -1, tt);
int na = go_up(a, first - 1);
int nb = go_up(b, second - 1);
assert(dw[nb][0] == in[na][0]);
// assert(par[na] <= par[nb]);
// assert(par[b] < tt);
return pr;
// if(par[na] > par[nb]) {
// ok = 0;
// }
// if(par[b] > tt) {
// ok = 0;
// }
}
return ok;
}
void dfs_sz(int node, int parent) {
sz[node] = 1;
compSize++;
for(auto i: adj[node]) {
if(i.first == parent || used[i.first]) continue;
dfs_sz(i.first, node);
sz[node] += sz[i.first];
}
}
int centroid(int u, int parent) {
for(auto i: adj[u]) {
if(i.first == parent || used[i.first]) continue;
if(sz[i.first] * 2 > compSize) {
return centroid(i.first, u);
}
}
return u;
}
// bit
struct fenwick {
int size;
vector<long long> tree;
void init(int size_) {
tree.assign(size_ + 2, 0);
size = size_;
}
void upd(int u, long long v) {
while(u <= size) {
tree[u] += v;
u += u & (-u);
}
}
long long qry(int u) {
long long sum = 0;
while(u > 0) {
sum += tree[u];
u -= u & (-u); // lsb
}
return sum;
}
long long sum(int l, int r) {
if(l > r) {
return 0;
}
return qry(r) - qry(l - 1);
}
} ft_inc, ft_dec;
int get_centroid(int u) {
compSize = 0;
dfs_sz(u, 0);
int center = centroid(u, 0);
return center;
}
vector<int> which_dec;
vector<pair<int, int>> curr_inc, curr_dec;
bool rev = false;
void solve(int node, int parent, int incr, int decr, int lst, int st) {
if(parent) {
if(incr != -1) {
curr_inc.push_back({st, node});
}
if(decr != -1) {
curr_dec.push_back({lst, node});
which_dec.push_back(lst);
}
}
for(auto i: adj[node]) {
if(i.first == parent || used[i.first]) continue;
if(!parent) {
solve(i.first, node, i.second, i.second, i.second, i.second);
} else {
int new_incr = -1, new_decr = -1;
if(i.second < lst && incr != -1) {
new_incr = i.second;
}
if(i.second > lst && decr != -1) {
new_decr = i.second;
}
solve(i.first, node, new_incr, new_decr, i.second, st);
}
if(parent) continue;
for(auto j: curr_inc) {
for(auto k: qq[j.second]) {
if(k < j.first) continue;
ans[k - 1]++;
ans[k - 1] += ft_dec.sum(j.first + 1, k);
}
}
for(auto j: curr_dec) {
ft_dec.upd(j.first, 1);
}
//
curr_inc.clear();
curr_dec.clear();
}
}
void centroid_decomposition() {
queue<int> q;
q.push(1);
while(!q.empty()) {
auto u = q.front();
q.pop();
int center = get_centroid(u);
solve(center, 0, -1, -1, -1, -1);
for(auto k: qq[center]) {
ans[k - 1] += ft_dec.sum(1, k - 1);
}
for(auto i: which_dec) {
ft_dec.upd(i, -1);
}
which_dec.clear();
used[center] = true;
for(auto i: adj[center]) {
if(used[i.first]) continue;
q.push(i.first);
}
}
}
bool cmp(pair<int, int>& a, pair<int, int>& b) {
return a.second > b.second;
}
void solve_() {
cin >> n >> q;
q += n - 1;
ft_dec.init(N);
for(int i = 0; i < q; i++) {
char type; cin >> type;
int x, y;
if(type == 'S') {
cin >> x >> y;
adj[x].push_back({y, i + 1});
adj[y].push_back({x, i + 1});
queries.push_back({type, x, y});
} else if(type == 'Q') {
cin >> x >> y, pp[i] = true;
qx[x].push_back(y);
queries.push_back({type, x, y});
} else {
cin >> x, pp[i] = true;
qq[x].push_back(i + 1);
queries.push_back({type, x, -1});
}
}
for(int i = 1; i <= n; i++) {
sort(all(adj[i]), cmp);
}
centroid_decomposition();
dfsik(1, 0);
for(int i = 0; i < q; i++) {
if(!pp[i]) continue;
if(queries[i].type == 'Q') {
if(check(queries[i].y, queries[i].x, i + 1)) {
cout << "yes" << '\n';
} else {
cout << "no" << '\n';
}
} else {
cout << ans[i] + 1 << '\n';
}
}
}
int main() {
setIO();
auto solve = [&](int test_case)-> void {
while(test_case--) {
solve_();
}
};
int test_cases = 1;
// cin >> test_cases;
solve(test_cases);
return 0;
}
Compilation message
servers.cpp: In function 'void setIO(std::string)':
servers.cpp:64:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
64 | freopen((str + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
servers.cpp:65:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
65 | freopen((str + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
56 ms |
34448 KB |
Output is correct |
| 2 |
Correct |
72 ms |
35684 KB |
Output is correct |
| 3 |
Correct |
119 ms |
35724 KB |
Output is correct |
| 4 |
Correct |
93 ms |
35712 KB |
Output is correct |
| 5 |
Correct |
67 ms |
35936 KB |
Output is correct |
| 6 |
Correct |
1106 ms |
35856 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
56 ms |
34448 KB |
Output is correct |
| 2 |
Correct |
72 ms |
35684 KB |
Output is correct |
| 3 |
Correct |
119 ms |
35724 KB |
Output is correct |
| 4 |
Correct |
93 ms |
35712 KB |
Output is correct |
| 5 |
Correct |
67 ms |
35936 KB |
Output is correct |
| 6 |
Correct |
1106 ms |
35856 KB |
Output is correct |
| 7 |
Correct |
55 ms |
34688 KB |
Output is correct |
| 8 |
Correct |
70 ms |
36628 KB |
Output is correct |
| 9 |
Correct |
84 ms |
36640 KB |
Output is correct |
| 10 |
Correct |
74 ms |
36904 KB |
Output is correct |
| 11 |
Correct |
66 ms |
37120 KB |
Output is correct |
| 12 |
Correct |
548 ms |
36764 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
64 ms |
34524 KB |
Output is correct |
| 2 |
Execution timed out |
3590 ms |
74032 KB |
Time limit exceeded |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
64 ms |
34524 KB |
Output is correct |
| 2 |
Execution timed out |
3590 ms |
74032 KB |
Time limit exceeded |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
55 ms |
34432 KB |
Output is correct |
| 2 |
Correct |
454 ms |
82292 KB |
Output is correct |
| 3 |
Correct |
431 ms |
82228 KB |
Output is correct |
| 4 |
Execution timed out |
3566 ms |
83324 KB |
Time limit exceeded |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
55 ms |
34432 KB |
Output is correct |
| 2 |
Correct |
454 ms |
82292 KB |
Output is correct |
| 3 |
Correct |
431 ms |
82228 KB |
Output is correct |
| 4 |
Execution timed out |
3566 ms |
83324 KB |
Time limit exceeded |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
71 ms |
34464 KB |
Output is correct |
| 2 |
Execution timed out |
3586 ms |
74824 KB |
Time limit exceeded |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
71 ms |
34464 KB |
Output is correct |
| 2 |
Execution timed out |
3586 ms |
74824 KB |
Time limit exceeded |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
59 ms |
34432 KB |
Output is correct |
| 2 |
Correct |
442 ms |
82200 KB |
Output is correct |
| 3 |
Correct |
480 ms |
82288 KB |
Output is correct |
| 4 |
Execution timed out |
3585 ms |
83392 KB |
Time limit exceeded |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
59 ms |
34432 KB |
Output is correct |
| 2 |
Correct |
442 ms |
82200 KB |
Output is correct |
| 3 |
Correct |
480 ms |
82288 KB |
Output is correct |
| 4 |
Execution timed out |
3585 ms |
83392 KB |
Time limit exceeded |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
57 ms |
34416 KB |
Output is correct |
| 2 |
Correct |
73 ms |
35672 KB |
Output is correct |
| 3 |
Correct |
134 ms |
35644 KB |
Output is correct |
| 4 |
Correct |
79 ms |
35756 KB |
Output is correct |
| 5 |
Correct |
73 ms |
36036 KB |
Output is correct |
| 6 |
Correct |
1231 ms |
35764 KB |
Output is correct |
| 7 |
Correct |
77 ms |
34432 KB |
Output is correct |
| 8 |
Execution timed out |
3592 ms |
74036 KB |
Time limit exceeded |
| 9 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
57 ms |
34416 KB |
Output is correct |
| 2 |
Correct |
73 ms |
35672 KB |
Output is correct |
| 3 |
Correct |
134 ms |
35644 KB |
Output is correct |
| 4 |
Correct |
79 ms |
35756 KB |
Output is correct |
| 5 |
Correct |
73 ms |
36036 KB |
Output is correct |
| 6 |
Correct |
1231 ms |
35764 KB |
Output is correct |
| 7 |
Correct |
77 ms |
34432 KB |
Output is correct |
| 8 |
Execution timed out |
3592 ms |
74036 KB |
Time limit exceeded |
| 9 |
Halted |
0 ms |
0 KB |
- |
