#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;
typedef pair<int,int> pi;
typedef pair<ll,ll> pl;
typedef pair<db,db> pd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<db> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
#define mp make_pair
#define f first
#define s second
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)
const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INF = 1e18;
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1};
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
template<class T> bool ckmin(T& a, const T& b) {
return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) {
return a < b ? a = b, 1 : 0; }
int pct(int x) { return __builtin_popcount(x); }
int bits(int x) { return 31-__builtin_clz(x); } // floor(log2(x))
int cdiv(int a, int b) { return a/b+!(a<0||a%b == 0); } // division of a by b rounded up, assumes b > 0
int fstTrue(function<bool(int)> f, int lo, int hi) {
hi ++; assert(lo <= hi); // assuming f is increasing
while (lo < hi) { // find first index such that f is true
int mid = (lo+hi)/2;
f(mid) ? hi = mid : lo = mid+1;
}
return lo;
}
// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);
template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }
template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }
// TO_STRING
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(bool b) { return b ? "true" : "false"; }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
template<class A> str ts(complex<A> c) {
stringstream ss; ss << c; return ss.str(); }
str ts(vector<bool> v) {
str res = "{"; F0R(i,sz(v)) res += char('0'+v[i]);
res += "}"; return res; }
template<size_t SZ> str ts(bitset<SZ> b) {
str res = ""; F0R(i,SZ) res += char('0'+b[i]);
return res; }
template<class A, class B> str ts(pair<A,B> p);
template<class T> str ts(T v) { // containers with begin(), end()
bool fst = 1; str res = "{";
for (const auto& x: v) {
if (!fst) res += ", ";
fst = 0; res += ts(x);
}
res += "}"; return res;
}
template<class A, class B> str ts(pair<A,B> p) {
return "("+ts(p.f)+", "+ts(p.s)+")"; }
// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) {
pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) {
pr(h); if (sizeof...(t)) pr(" "); ps(t...); }
// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
cerr << ts(h); if (sizeof...(t)) cerr << ", ";
DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL
#define dbg(...) cerr << "LINE(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#else
#define dbg(...) 0
#endif
// FILE I/O
void setIn(string s) { freopen(s.c_str(),"r",stdin); }
void setOut(string s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { ios_base::sync_with_stdio(0); cin.tie(0); }
void setIO(string s = "") {
unsyncIO();
// cin.exceptions(cin.failbit);
// throws exception when do smth illegal
// ex. try to read letter into int
if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}
const int mx = 100005;
int N, M, Q;
int ans[mx];
//#warning overflow in ans?
vi change[mx];
/**
* Description: The centroid of a tree of size $N$ is a vertex such that
* after removing it, all resulting subtrees have size at most $\frac{N}{2}.$
* Supports updates in the form ``add 1 to all verts $v$ such that $dist(x,v)\le y$."
* Time: O(N\log N) build, O(\log N) update and query
* Memory: O(N\log N)
* Source: own
* Verification:
* solves https://dmoj.ca/problem/dmopc19c7p6
* https://codeforces.com/contest/342/problem/E
* Triway Cup 2019 G
*/
template<int SZ> struct Centroid {
vi adj[SZ];
vpi dadj[SZ]; //node, edge number
void ae(int a,int b, int c){
adj[a].pb(b),adj[b].pb(a);
dadj[a].pb(mp(b, c)); dadj[b].pb(mp(a, c));
}
bool done[SZ]; // processed as centroid yet
int N,sub[SZ],cen[SZ],lev[SZ]; // subtree size, centroid anc
vi cenchildren[SZ]; // centroid children
int dist[32-__builtin_clz(SZ)][SZ]; // dists to all ancs
void dfs(int x, int p) { sub[x] = 1;
trav(y,adj[x]) if (!done[y] && y != p)
dfs(y,x), sub[x] += sub[y];
}
int centroid(int x) {
dfs(x,-1);
for (int sz = sub[x];;) {
pi mx = {0,0};
trav(y,adj[x]) if (!done[y] && sub[y] < sub[x])
ckmax(mx,{sub[y],y});
if (mx.f*2 <= sz) return x;
x = mx.s;
}
}
void genDist(int x, int p, int lev) {
dist[lev][x] = dist[lev][p]+1;
trav(y,adj[x]) if (!done[y] && y != p) genDist(y,x,lev); }
void gen(int CEN, int _x) { // CEN = centroid above x
int x = centroid(_x); done[x] = 1; cen[x] = CEN;
sub[x] = sub[_x]; lev[x] = (CEN == -1 ? 0 : lev[CEN]+1);
dist[lev[x]][x] = 0;
trav(y,adj[x]) if (!done[y]) genDist(y,x,lev[x]);
trav(y,adj[x]) if (!done[y]) gen(x,y);
}
void init(int _N) { N = _N; FOR(i,1,N+1) done[i] = 0;
gen(-1,1);
for(int i = 1; i <= N; i++){
if(cen[i] == -1) continue;
cenchildren[cen[i]].pb(i);
}
} // start at vert 1
bool intree[SZ]; //inside of the current tree.
bool useful[SZ]; //considering these nodes, some won't be considered when subtracting
list<int> listinds[SZ]; //corresponding nodes for each index
set<pi> totop[SZ]; //time, # of nodes for that time
set<pi> fromtop[SZ]; //time, index of list for that time
//#warning Clear out all memory in between upds
//#warning remember to continue out of notintree nodes, only consider useful nodes
void clearData(int node, int prv = -1){//DO NOT CLEAR INTREE OR USEFUL
for(auto u: adj[node]){
if(u == prv) continue;
if(intree[u] == 0) continue;
clearData(u, node);
}
listinds[node].clear();
totop[node].clear();
fromtop[node].clear();
}
void setad(set<pi> &a, pi b){
auto it = a.lb(mp(b.f, 0)); //is there a pair with time l?
if(it != a.end() && it->f == b.f){
pi x = *it; //combine a with x
a.erase(x);
a.ins(mp(b.f, x.s+b.s));
}
else{
a.ins(b);
}
}
void setlistad(set<pi> &a, pi b){
auto it = a.lb(mp(b.f, 0)); //is there a pair with time l?
if(it != a.end() && it->f == b.f){
pi x = *it; //combine a with x
a.erase(x);
listinds[b.s].splice(listinds[b.s].begin(), listinds[x.s]);
a.ins(b);
}
else{
a.ins(b);
}
}
void genToTop(int node, int prv = -1){
//dbg("M6");
if(useful[node]){
setad(totop[node], mp(1, 1));
}
for(auto u: dadj[node]){
if(u.f == prv) continue;
if(intree[u.f] == 0) continue;
genToTop(u.f, node);
set<pi> newset; //transform totop[u.f] into this
auto it = totop[u.f].begin();
if(sz(change[u.s]) == 0){
for(auto x: totop[u.f]){
setad(newset, mp(M+5, x.s));
}
totop[u.f].clear();
}
for(int i = 0; i < sz(change[u.s]); i+=2){
int l = change[u.s][i];
int r = change[u.s][i+1];
if(node == 2 && u.f == 3){
dbg(l, r, totop[u.f]);
}
while(it != totop[u.f].end()){
pi a = *it;
it = next(it);
if(a.f <= l){
totop[u.f].erase(a);
setad(newset, mp(l, a.s));
}
else{
it = prev(it);
break;
}
}
while(it != totop[u.f].end()){
pi a = *it;
it = next(it);
if(a.f <= r){ //elements that are still good stay in the set
}
else{
it = prev(it);
break;
}
}
}
if(sz(change[u.s]) != 0){
while(it != totop[u.f].end()){
pi a = *it;
it = next(it);
assert(a.f > change[u.s].back());
totop[u.f].erase(a);
//dbg(node, a);
setad(newset, mp(M+5, a.s));
}
}
if(sz(newset) < sz(totop[u.f])){
swap(newset, totop[u.f]);
}
for(auto x: totop[u.f]){
// if(sz(change[u.s]) != 0){
// if(change[u.s].back() < x.f) setad(newset, mp(M+5, x.s));
// }
setad(newset, x);
}
if(sz(totop[node]) < sz(newset)){
swap(totop[node], newset);
}
for(auto x: newset){
setad(totop[node], x);
}
}
// dbg(node);
// dbg(totop[node]);
}
void genFromTop(int node, int prv = -1){
//dbg("M5");
if(useful[node]){
listinds[node].pb(node);
setlistad(fromtop[node], mp(M+1, node));
}
for(auto u: dadj[node]){
if(u.f == prv) continue;
if(intree[u.f] == 0) continue;
genFromTop(u.f, node);
set<pi> newset; //transform fromtop[u.f] into this
if(sz(fromtop[u.f]) == 0) continue;
//dbg(fromtop[u.f]);
auto it = prev(fromtop[u.f].end());
bool flag = 0;
if(sz(change[u.s]) == 0){
for(auto x: fromtop[u.f]){
setlistad(newset, mp(-5, x.s));
}
fromtop[u.f].clear();
}
//if(node == 3) dbg(change[u.s]);
for(int i = sz(change[u.s])-2; i >= 0; i-=2){
int l = change[u.s][i];
int r = change[u.s][i+1];
while(true){
if(flag == 1) break;
//dbg("L1");
pi a = *it;
if(it != fromtop[u.f].begin()){
it = prev(it);
}
else flag = 1;
if(r <= a.f){
fromtop[u.f].erase(a);
setlistad(newset, mp(r, a.s));
}
else{
it = next(it);
break;
}
if(flag == 1) break;
}
while(true){
if(flag == 1) break;
//dbg("L2");
// dbg(fromtop[u.f]);
// dbg(*it);
pi a = *it;
if(it != fromtop[u.f].begin()){
it = prev(it);
}
else flag = 1;
if(l <= a.f){ //elements that are still good stay in the set
}
else{
it = next(it);
break;
}
}
}
if(sz(change[u.s]) != 0){
while(true){
if(flag == 1) break;
//dbg("L2");
// dbg(fromtop[u.f]);
// dbg(*it);
pi a = *it;
if(it != fromtop[u.f].begin()){
it = prev(it);
}
else flag = 1;
assert(a.f < change[u.s][0]);
fromtop[u.f].erase(a);
setlistad(newset, mp(-5, a.s));
}
}
if(sz(newset) < sz(fromtop[u.f])){
swap(newset, fromtop[u.f]);
}
for(auto x: fromtop[u.f]){
// if(sz(change[u.s]) != 0 && x.f < change[u.s][0]){
// setlistad(newset, mp(-5, x.s));
// continue;
// }
setlistad(newset, x);
}
if(sz(fromtop[node]) < sz(newset)){
swap(fromtop[node], newset);
}
for(auto x: newset){
setlistad(fromtop[node], x);
}
}
// dbg(node);
// for(auto u: fromtop[node]){
// dbg(u, listinds[u.s]);
// }
}
void upd(int R, int mode){ //centroid top node, mode = 1 if adding, -1 if subtracting
//dbg("M4");
genToTop(R); //upds stored in totop[R]
genFromTop(R);
// dbg(totop[R]);
// for(auto u: fromtop[R]){
// dbg(u, listinds[u.s]);
// }
totop[R].ins(mp(0, 0)); //padding
totop[R].ins(mp(M+1, 0));
auto it = totop[R].begin();
while(next(it) != totop[R].end()){
pi bef = *it;
it = next(it);
pi old = *it;
totop[R].erase(old);
totop[R].ins(mp(old.f, old.s+bef.s)); //make cumulative sums
}
for(auto x: fromtop[R]){
int tim = x.f;
if(tim == -5) continue;
auto it = prev(totop[R].lb(mp(tim+1, 0)));
int val = it->s;
for(auto u: listinds[x.s]){
//dbg(R, u, val, mode);
ans[u]+=val*mode;
}
}
clearData(R);
}
void switchintree(int node){ //switches intree values in centroid subtree
//dbg("M3");
intree[node]^=1;
for(auto u: cenchildren[node]){
switchintree(u);
}
}
void switchuseful(int node){
//dbg("M2");
useful[node]^=1;
for(auto u: cenchildren[node]){
switchuseful(u);
}
}
void solve(){ //goal is to update ans[]
//dbg("M1");
for(int i = 1; i <= N; i++){
switchintree(i);
switchuseful(i);
//dbg(i, 1);
upd(i, 1);
switchuseful(i);
for(auto u: cenchildren[i]){
switchuseful(u);
//dbg(i, -1, u);
upd(i, -1);
switchuseful(u);
}
switchintree(i);
}
}
};
Centroid<mx> cent;
int main() {
setIO();
cin >> N >> M >> Q;
for(int i = 1; i <= N-1; i++){
int X, Y;
cin >> X >> Y;
cent.ae(X, Y, i);
}
for(int i = 1; i <= M; i++){
int D;
cin >> D;
change[D].pb(i);
}
for(int i = 1; i <= N-1; i++){
if(sz(change[i]) % 2 == 1){
change[i].pb(M);
}
}
cent.init(N);
// for(int i = 1; i <= N; i++){
// dbg(i, cent.cen[i]);
// }
cent.solve();
for(int i = 1; i <= Q; i++){
int C;
cin >> C;
ps(ans[C]);
}
// you should actually read the stuff at the bottom
}
/* stuff you should look for
* int overflow, array bounds
* special cases (n=1?)
* do smth instead of nothing and stay organized
* WRITE STUFF DOWN
*/
Compilation message
synchronization.cpp: In instantiation of 'void Centroid<SZ>::genToTop(int, int) [with int SZ = 100005]':
synchronization.cpp:461:17: required from 'void Centroid<SZ>::upd(int, int) [with int SZ = 100005]'
synchronization.cpp:519:16: required from 'void Centroid<SZ>::solve() [with int SZ = 100005]'
synchronization.cpp:560:16: required from here
synchronization.cpp:124:18: warning: statement has no effect [-Wunused-value]
#define dbg(...) 0
^
synchronization.cpp:276:21: note: in expansion of macro 'dbg'
dbg(l, r, totop[u.f]);
^~~
synchronization.cpp: In function 'void setIn(std::__cxx11::string)':
synchronization.cpp:128:31: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
void setIn(string s) { freopen(s.c_str(),"r",stdin); }
~~~~~~~^~~~~~~~~~~~~~~~~~~~~
synchronization.cpp: In function 'void setOut(std::__cxx11::string)':
synchronization.cpp:129:32: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
void setOut(string s) { freopen(s.c_str(),"w",stdout); }
~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
19 ms |
21504 KB |
Output is correct |
| 2 |
Correct |
19 ms |
21504 KB |
Output is correct |
| 3 |
Correct |
17 ms |
21608 KB |
Output is correct |
| 4 |
Correct |
17 ms |
21376 KB |
Output is correct |
| 5 |
Correct |
19 ms |
21504 KB |
Output is correct |
| 6 |
Correct |
32 ms |
21760 KB |
Output is correct |
| 7 |
Correct |
250 ms |
24056 KB |
Output is correct |
| 8 |
Correct |
255 ms |
23928 KB |
Output is correct |
| 9 |
Correct |
257 ms |
24184 KB |
Output is correct |
| 10 |
Correct |
6012 ms |
46560 KB |
Output is correct |
| 11 |
Incorrect |
6443 ms |
46876 KB |
Output isn't correct |
| 12 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
8064 ms |
52084 KB |
Time limit exceeded |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
17 ms |
21504 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
4160 ms |
67088 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
17 ms |
21504 KB |
Output is correct |
| 2 |
Incorrect |
17 ms |
21504 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
