oj.uz

Submission #154323

# Submission time Handle Problem Language Result Execution time Memory
154323 2019-09-20T16:02:00 Z ryansee Unique Cities (JOI19_ho_t5) C++14
4 / 100
 1139 ms 274436 KB 
#include "bits/stdc++.h"
using namespace std;

#define FAST ios_base::sync_with_stdio(false); cin.tie(0);
#define pb push_back
#define eb emplace_back
#define ins insert
#define ph push
#define f first
#define s second
#define cbr cerr << "hi\n"
#define mmst(x, v) memset((x), v, sizeof ((x)))
#define siz(x) ((ll)x.size())
#define all(x) (x).begin(), (x).end()
#define lbd(x, y) lower_bound(all(x), y)
#define ubd(x, y) upper_bound(all(x), y)
#define btinpct(x) __builtin_popcountll((x))
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());    //can be used by calling rng() or shuffle(A, A+n, rng)
inline long long rand(long long x, long long y) { return (rng() % (y+1-x)) + x; } //inclusivesss
string to_string(char c) {string s(1,c);return s;} template<typename T> inline T gcd(T a,T b){if(a>b)swap(a,b);if(a==0)return b;return gcd(b%a,a);}

#define ll /*long long*/ int 
#define ld long double
#define FOR(ii, ss, ee) for(ll ii = (ss); ii <= (ll)(ee); ++ii)
#define DEC(ii, ss, ee) for(ll ii = (ss); ii >= (ll)(ee); --ii)
typedef pair <ll, ll> pi; typedef pair <pi, ll> spi; typedef pair <pi, pi> dpi;

#define LLINF ((long long) 1e18)//1234567890987654321
#define INF 1234567890ll
// #define cerr if(0)cout
#define MAXN (200006)
ll n, m; pi roots;
vector<int> v[MAXN];
int A[MAXN], p[MAXN][21]; int st[MAXN], en[MAXN], co;
pi fdist[MAXN], rdist[MAXN];
ll depth[MAXN];
void init(ll x,ll par) {
	rdist[x] = fdist[x] = pi(depth[x], x); p[x][0]=par; st[x]=co++;
	spi mx=spi(pi(depth[x], x), 1);
	spi fmx=spi(pi(depth[x], x), 1);
	for(auto i:v[x]) if(i^par) {
		depth[i]=depth[x]+1; init(i, x);
		rdist[x]=max(rdist[x], rdist[i]);
		if(rdist[i].f > mx.f.f) mx.f=rdist[i], mx.s=1;
		else if(rdist[i].f == mx.f.f) ++ mx.s;
		// fmx=max(fmx, fdist[i]);
		if(fdist[i].f > fmx.f.f) fmx.f=fdist[i], fmx.s=1;
		else if(fdist[i].f == fmx.f.f) ++ fmx.s;
	}
	ll rmx=-1;
	for(auto i:v[x]) if(i^par) {
		if(fdist[i].f != fmx.f.f) rmx=max(rmx, rdist[i].f);
	}
	if(mx.s == 1 && fmx.f.f > rmx && fmx.s==1) fdist[x]=fmx.f; 
	en[x]=co;
}
void t2k() { FOR(j,1,20) FOR(i,1,n) p[i][j]=p[p[i][j-1]][j-1]; }
bool isp(ll a,ll b){return st[a]<=st[b]&&en[a]>=en[b];}
ll lca(ll x,ll y) {
	if(isp(x,y))return x; if(isp(y,x))return y;
	for(ll i=20;i>=0;--i) {
		if(!isp(p[x][i],y))x=p[x][i];
	}
	return p[x][0];
}
ll ans[MAXN]; ll get_dist(ll a,ll b) { return depth[a]+depth[b]-2*depth[lca(a,b)]; }
struct diam_tree {
	int root;
	vector<ll> ans;
	vector <pi> dq;
	ll cur=0;
	ll mp[MAXN];
	ll rdist[MAXN], depth[MAXN];
	void add(ll x, ll d) {
		// cerr<<x<<" in\n";
		if(!mp[x]) ++ cur;
		++ mp[x];
		dq.eb(x, d);
	}
	void del() {
		// cerr<<dq.back().f<<" out\n";
		ll x=dq.back().f;
		-- mp[x];
		if(mp[x] == 0) -- cur;
		dq.pop_back();
	}
	void main() {
		ans.resize(n+1, 0); mmst(mp,0); dq.clear(); mmst(depth,0); mmst(rdist,0);
		assert(root);
		cur=0;
		pre(root, root); dfs(root, root); //cerr<<"r: "<<root<<"\n";
		// FOR(i,1,n) cerr<<i<<": "<<ans[i]<<"\n";
	}
	void dfs(ll x,ll p) {
		add(A[x], depth[x]);
		// ans[x]=cur;
		priority_queue<pi> pq;
		for(auto i:v[x]) if(i^p) pq.emplace(rdist[i]-depth[x], i);
		vector<pi> cabbage;
		if(pq.size()) {
			ll until=depth[x]-pq.top().f;
			del();
			while(dq.size() && dq.back().s >= until) cabbage.pb(dq.back()), del();
			add(A[x], depth[x]);
		}
		del(); ans[x]=cur; add(A[x], depth[x]);
		reverse(all(cabbage));
		del();
		for(auto i:cabbage) add(i.f,i.s);
		add(A[x],depth[x]);
		for(auto i:v[x]) if(i^p) {
			bool took=0;
			if(pq.top().s == i) took=1, pq.pop();
			vector<pi> cabbage;
			if(pq.size()) {
				ll until=depth[x]-pq.top().f;
				assert(dq.back().f==A[x]);
				del();
				while(dq.size() && dq.back().s >= until) cabbage.pb(dq.back()), del();
				add(A[x], depth[x]);
			}
			dfs(i, x);
			reverse(all(cabbage)); del();
			for(auto i:cabbage) add(i.f, i.s);
			add(A[x], depth[x]);
			if(took) pq.emplace(rdist[i]-depth[x], i);
		}
		assert(dq.back().f==A[x]);
		del();
	}
	void pre(ll x,ll p) {
		rdist[x]=depth[x];
		for(auto i:v[x]) if(i^p){
			depth[i]=depth[x]+1;
			pre(i,x);
			rdist[x]=max(rdist[x],rdist[i]);
		}
	}
} r1, r2;
bool can(set<pi,greater<pi>> s) {
	if(s.empty()) return 1;
	ll x = s.begin()->f;
	ll times=1;
	s.erase(s.begin());
	for(auto i:s) {
		if(i.f == x) ++ times;
	}
	return times==1;
}
bool decide(ll x){
	if(get_dist(x, roots.f) >= get_dist(x, roots.s)) return 1;
	else return 0;
}
void dfs(ll x,ll par,pi dist,pi rup) {
	spi mx = spi(dist, 1);
	ll rmx=0;
	for(auto i:v[x]) if(i^par) {
		fdist[i].f -= depth[x];
		if(fdist[i].f > mx.f.f) mx.f = fdist[i], mx.s=1;
		else if(fdist[i].f == mx.f.f) ++ mx.s;
		fdist[i].f += depth[x];
		// rmx=max(rmx, rdist[i].f-depth[x]);
	}
	if(mx.f.f != dist.f) rmx=rup.f;
	for(auto i:v[x]) if(i^par) if(mx.f.f != fdist[i].f-depth[x]) rmx=max(rmx, rdist[i].f-depth[x]);
	// if(x==3) cerr<<mx.f<<' '<<mx.s<<' '<<rmx<<' '<<dist<<' '<<rup<<"\n";
	if(mx.s == 1 && mx.f.f > rmx) {
		// cerr<<x<<' '<<mx.f.s<<' '<<get_dist(x, mx.f.s)<<' '<<rmx<<' '<<dist.s<<'\n';
		// cerr<<x<<' '<<decide(x)<<'\n';
		if(decide(x)) ans[x]=r1.ans[x];
		else ans[x]=r2.ans[x];
		// ans[x]=1;
	}
	set<spi,greater<spi>> ms;
	multiset<pi,greater<pi>> R;
	ms.ins(spi(dist, x)); R.ins(rup);
	for(auto i:v[x]) if(i^par) {
		ms.ins(spi(pi(fdist[i].f-depth[x], fdist[i].s), i));
		R.ins(pi(rdist[i].f-depth[x],rdist[i].s));
	}
	// while(ms.size() > 4) ms.erase(--ms.end());
	// while(R.size() > 4) R.erase(--R.end());
	ll o=ms.size(); ll oR=R.size();
	for(auto i:v[x])if(i^par){
		ms.erase(spi(pi(fdist[i].f-depth[x], fdist[i].s), i));
		if(ms.begin()->s != x) R.erase(R.find(pi(rdist[ms.begin()->s].f-depth[x],rdist[ms.begin()->s].s))); else R.erase(R.find(rup));
		if(*R.begin() == pi(rdist[i].f-depth[x], rdist[i].s)) R.erase(R.begin());
		if((ms.size() >= 2 && ms.begin()->f.f == next(ms.begin())->f.f) || (R.size()&&ms.begin()->f.f <= R.begin()->f)) {
			if(ms.begin()->s != x) R.ins(pi(rdist[ms.begin()->s].f-depth[x],rdist[ms.begin()->s].s));
			else R.ins(rup);
			dfs(i, x, pi(1,x), pi(R.begin()->f + 1, R.begin()->s));
		} else {
			if(ms.begin()->s != x) R.ins(pi(rdist[ms.begin()->s].f-depth[x],rdist[ms.begin()->s].s));
			else R.ins(rup);
			dfs(i, x, pi((ms.begin()->f.f) + 1, ms.begin()->f.s), pi(R.begin()->f + 1, R.begin()->s));
		}
		if(siz(ms) ^ o) ms.ins(spi(pi(fdist[i].f-depth[x],fdist[i].s),i));
		if(siz(R) ^ oR) R.ins(pi(rdist[i].f-depth[x],rdist[i].s));
	}
}
struct diam_find {
	vector<ll> dist;
	pi main() {
		dist.resize(n+1, -1);
		dist[1]=0; dfs(1, 1);
		ll r1=1, r2=-1;
		FOR(i,1,n) if(dist[i] > dist[r1]) r1=i;
		r2=r1;
		dist[r1]=0; dfs(r1, r1);
		FOR(i,1,n) if(dist[i] > dist[r2]) r2=i;
		return pi(r1, r2);
	}
	void dfs(ll x,ll p) {
		for(auto i:v[x]) if(i^p) dist[i]=dist[x]+1, dfs(i, x);
	}
} fd;
int main()
{
	FAST
	cin>>n>>m;
	FOR(i,0,n-2) {
		ll a, b; cin>>a>>b;
		v[a].eb(b), v[b].eb(a);
	}
	FOR(i,1,n) cin>>A[i];
	roots=fd.main(); init(1, 1); t2k();
	r1.root=roots.f, r2.root=roots.s; r1.main(); r2.main();
	// comp(1);
	FOR(i,1,n) {
		// cerr<<i<<": "<<fdist[i]<<"\n";
	}
	dfs(1, 1, pi(0,1), pi(0,1));
	FOR(i,1,n) cout<<ans[i]<<"\n";
}
/*
10 10
2 6
5 8
10 8
1 4
10 6
4 5
10 7
6 9
3 7
1 2 3 4 5 6 7 8 9 10
*/

Compilation message

joi2019_ho_t5.cpp: In function 'int lca(int, int)':
joi2019_ho_t5.cpp:60:2: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
  if(isp(x,y))return x; if(isp(y,x))return y;
  ^~
joi2019_ho_t5.cpp:60:24: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
  if(isp(x,y))return x; if(isp(y,x))return y;
                        ^~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 9720 KB Output is correct
2 Correct 24 ms 10104 KB Output is correct
3 Correct 32 ms 12864 KB Output is correct
4 Correct 36 ms 12096 KB Output is correct
5 Correct 16 ms 10232 KB Output is correct
6 Correct 71 ms 21380 KB Output is correct
7 Correct 33 ms 12488 KB Output is correct
8 Correct 16 ms 10216 KB Output is correct
9 Correct 17 ms 10232 KB Output is correct
10 Correct 17 ms 10360 KB Output is correct
11 Correct 18 ms 10104 KB Output is correct
12 Correct 10 ms 10236 KB Output is correct
13 Correct 66 ms 20168 KB Output is correct
14 Correct 19 ms 11256 KB Output is correct
15 Correct 26 ms 11000 KB Output is correct
16 Correct 16 ms 10364 KB Output is correct
17 Correct 58 ms 15768 KB Output is correct
18 Correct 42 ms 12372 KB Output is correct
19 Correct 15 ms 10104 KB Output is correct
20 Correct 77 ms 21452 KB Output is correct
21 Correct 34 ms 12448 KB Output is correct
22 Correct 16 ms 10104 KB Output is correct
23 Correct 16 ms 10232 KB Output is correct
24 Correct 16 ms 10232 KB Output is correct
25 Correct 16 ms 10232 KB Output is correct
26 Correct 16 ms 10360 KB Output is correct
27 Correct 45 ms 15224 KB Output is correct
28 Correct 50 ms 14072 KB Output is correct
29 Correct 32 ms 11508 KB Output is correct
30 Correct 18 ms 10360 KB Output is correct
31 Correct 59 ms 15784 KB Output is correct
32 Correct 43 ms 12456 KB Output is correct

Subtask #2
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 477 ms 30376 KB Output is correct
2 Runtime error 923 ms 274436 KB Execution killed with signal 9 (could be triggered by violating memory limits)
3 Halted 0 ms 0 KB -

Subtask #3
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 732 ms 38632 KB Output is correct
2 Runtime error 1139 ms 274432 KB Execution killed with signal 9 (could be triggered by violating memory limits)
3 Halted 0 ms 0 KB -

Subtask #4
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 9720 KB Output is correct
2 Correct 24 ms 10104 KB Output is correct
3 Correct 32 ms 12864 KB Output is correct
4 Correct 36 ms 12096 KB Output is correct
5 Correct 16 ms 10232 KB Output is correct
6 Correct 71 ms 21380 KB Output is correct
7 Correct 33 ms 12488 KB Output is correct
8 Correct 16 ms 10216 KB Output is correct
9 Correct 17 ms 10232 KB Output is correct
10 Correct 17 ms 10360 KB Output is correct
11 Correct 18 ms 10104 KB Output is correct
12 Correct 10 ms 10236 KB Output is correct
13 Correct 66 ms 20168 KB Output is correct
14 Correct 19 ms 11256 KB Output is correct
15 Correct 26 ms 11000 KB Output is correct
16 Correct 16 ms 10364 KB Output is correct
17 Correct 58 ms 15768 KB Output is correct
18 Correct 42 ms 12372 KB Output is correct
19 Correct 15 ms 10104 KB Output is correct
20 Correct 77 ms 21452 KB Output is correct
21 Correct 34 ms 12448 KB Output is correct
22 Correct 16 ms 10104 KB Output is correct
23 Correct 16 ms 10232 KB Output is correct
24 Correct 16 ms 10232 KB Output is correct
25 Correct 16 ms 10232 KB Output is correct
26 Correct 16 ms 10360 KB Output is correct
27 Correct 45 ms 15224 KB Output is correct
28 Correct 50 ms 14072 KB Output is correct
29 Correct 32 ms 11508 KB Output is correct
30 Correct 18 ms 10360 KB Output is correct
31 Correct 59 ms 15784 KB Output is correct
32 Correct 43 ms 12456 KB Output is correct
33 Correct 477 ms 30376 KB Output is correct
34 Runtime error 923 ms 274436 KB Execution killed with signal 9 (could be triggered by violating memory limits)
35 Halted 0 ms 0 KB -