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>
#define IO_OP std::ios::sync_with_stdio(0); std::cin.tie(0);
#define F first
#define S second
#define V vector
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define SZ(v) int((v).size())
#define ALL(v) (v).begin(), (v).end()
using namespace std;
typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;
const int INF = 1e9 + 7, N = 120005;
V<pi> G[N];
namespace he {
struct Data {
bool ok;
int l, r;
int mx;
Data(int _mx = -1) {
ok = true;
l = r = mx = _mx;
}
friend Data operator + (const Data lhs, const Data rhs) {
if(lhs.mx == -1) return rhs;
if(rhs.mx == -1) return lhs;
Data res;
res.ok = lhs.ok & rhs.ok & (lhs.r < rhs.l);
res.l = lhs.l, res.r = rhs.r;
res.mx = max(lhs.mx, rhs.mx);
return res;
}
} up[N][20], down[N][20];
int p[N][20], d[N];
void dfs(int u, int pa = 0) {
p[u][0] = pa;
for(int i = 1; i < 20; i++) {
p[u][i] = p[p[u][i - 1]][i - 1];
up[u][i] = up[u][i - 1] + up[p[u][i - 1]][i - 1];
down[u][i] = down[p[u][i - 1]][i - 1] + down[u][i - 1];
}
for(auto[v, i]:G[u]) if(v != pa) {
d[v] = d[u] + 1;
up[v][0] = down[v][0] = Data(i);
dfs(v, u);
}
}
int lca(int u, int v) {
if(d[u] > d[v]) swap(u, v);
for(int i = 0; i < 20; i++)
if((d[v] - d[u]) >> i & 1)
v = p[v][i];
if(u == v) return u;
for(int i = 19; i >= 0; i--)
if(p[u][i] != p[v][i])
u = p[u][i], v = p[v][i];
assert(u != v && p[u][0] == p[v][0]);
return p[u][0];
}
Data go_up(int u, int step) {
Data res;
for(int i = 0; i < 20; i++) if(step >> i & 1)
res = res + up[u][i], u = p[u][i];
return res;
}
Data go_down(int u, int step) {
Data res;
for(int i = 0; i < 20; i++) if(step >> i & 1)
res = down[u][i] + res, u = p[u][i];
return res;
}
}
namespace be {
vi aux[N];
int ans[N * 2], sz[N];
bool vis[N];
void dfs_sz(int u, int p = 0) {
sz[u] = 1;
for(auto[v, i] : G[u]) if(v != p && !vis[v]) {
dfs_sz(v, u);
sz[u] += sz[v];
}
}
void dfs_c(int u, int& c, int tot, int p = 0) {
int mx = tot - sz[u];
for(auto[v, i] : G[u]) if(v != p && !vis[v]) {
dfs_c(v, c, tot, u);
mx = max(mx, sz[v]);
}
if(mx * 2 <= tot) c = u;
}
void dfs_down(int u, V<pi>&down, int l, int r, int p) {
down.EB(l, r);
for(auto[v, i] : G[u]) if(v != p && !vis[v])
if(i > r)
dfs_down(v, down, l, i, u);
}
void dfs_up(int u, V<pi>&up, int l, int r, int p) {
for(int i:aux[u]) if(i >= r) {
up.EB(r, i);
ans[i]++; // to c
}
for(auto[v, i] : G[u]) if(v != p && !vis[v])
if(i < l)
dfs_up(v, up, i, r, u);
}
void go(V<pi> up, V<pi> down, int op) {
for(pi p:up) {
for(pi pp:down) {
if(p.F <= pp.F && pp.S <= p.S) {
ans[p.S] += op;
}
}
}
}
void CD(int u) {
dfs_sz(u);
int c = -1; dfs_c(u, c, sz[u]);
V<pi> down_all, up_all;
for(auto[v, i]:G[c]) if(!vis[v]) {
V<pi> down;
dfs_down(v, down, i, i, c);
V<pi> up;
dfs_up(v, up, i, i, c);
go(up, down, -1);
for(pi p:up) up_all.PB(p);
for(pi p:down) down_all.PB(p);
}
go(up_all, down_all, 1);
V<pi> upc;
for(int i:aux[c])
upc.EB(0, i);
go(upc, down_all, 1);
vis[c] = 1;
for(auto[v, i]:G[c]) if(!vis[v])
CD(v);
}
}
signed main()
{
IO_OP;
int n, k;
cin >> n >> k;
V<array<int, 3>> qq;
for(int i = 1; i <= n + k - 1; i++) {
char op; cin >> op;
if(op == 'S') {
int u, v; cin >> u >> v;
G[u].EB(v, i);
G[v].EB(u, i);
} else if(op == 'Q') {
int u, v; cin >> u >> v;
qq.PB({u, v, i});
} else {
int u; cin >> u;
qq.PB({u, -1, i});
be::aux[u].PB(i);
}
}
he::dfs(1);
be::CD(1);
for(auto[u, v, i] : qq) {
if(v != -1) {
// is the path v -> u increasing?
if(u == v) {
cout << "yes\n";
continue;
}
int l = he::lca(u, v);
auto tt = he::go_up(v, he::d[v] - he::d[l]) + he::go_down(u, he::d[u] - he::d[l]);
if(tt.mx < i && tt.ok)
cout << "yes\n";
else
cout << "no\n";
} else {
cout << be::ans[i] + 1 << '\n';
}
}
}
Compilation message (stderr)
servers.cpp: In function 'void he::dfs(int, int)':
servers.cpp:52:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
52 | for(auto[v, i]:G[u]) if(v != pa) {
| ^
servers.cpp: In function 'void be::dfs_sz(int, int)':
servers.cpp:95:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
95 | for(auto[v, i] : G[u]) if(v != p && !vis[v]) {
| ^
servers.cpp: In function 'void be::dfs_c(int, int&, int, int)':
servers.cpp:103:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
103 | for(auto[v, i] : G[u]) if(v != p && !vis[v]) {
| ^
servers.cpp: In function 'void be::dfs_down(int, std::vector<std::pair<int, int> >&, int, int, int)':
servers.cpp:112:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
112 | for(auto[v, i] : G[u]) if(v != p && !vis[v])
| ^
servers.cpp: In function 'void be::dfs_up(int, std::vector<std::pair<int, int> >&, int, int, int)':
servers.cpp:122:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
122 | for(auto[v, i] : G[u]) if(v != p && !vis[v])
| ^
servers.cpp: In function 'void be::CD(int)':
servers.cpp:142:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
142 | for(auto[v, i]:G[c]) if(!vis[v]) {
| ^
servers.cpp:161:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
161 | for(auto[v, i]:G[c]) if(!vis[v])
| ^
servers.cpp: In function 'int main()':
servers.cpp:194:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
194 | for(auto[u, v, i] : qq) {
| ^
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