oj.uz

Submission #374922

# Submission time Handle Problem Language Result Execution time Memory
374922 2021-03-08T14:28:25 Z maroonrk Counting Mushrooms (IOI20_mushrooms) C++17
100 / 100
 13 ms 1312 KB 
#include "mushrooms.h"
 
#include <bits/stdc++.h>
using namespace std;
 
using ll=long long;
//#define int ll
 
#define rng(i,a,b) for(int i=int(a);i<int(b);i++)
#define rep(i,b) rng(i,0,b)
#define gnr(i,a,b) for(int i=int(b)-1;i>=int(a);i--)
#define per(i,b) gnr(i,0,b)
#define pb push_back
#define eb emplace_back
#define a first
#define b second
#define bg begin()
#define ed end()
#define all(x) x.bg,x.ed
#define si(x) int(x.size())
#ifdef LOCAL
#define dmp(x) cerr<<__LINE__<<" "<<#x<<" "<<x<<endl
#else
#define dmp(x) void(0)
#endif
 
template<class t,class u> bool chmax(t&a,u b){if(a<b){a=b;return true;}else return false;}
template<class t,class u> bool chmin(t&a,u b){if(b<a){a=b;return true;}else return false;}
 
template<class t> using vc=vector<t>;
template<class t> using vvc=vc<vc<t>>;
 
using pi=pair<int,int>;
using vi=vc<int>;
 
template<class t,class u>
ostream& operator<<(ostream& os,const pair<t,u>& p){
	return os<<"{"<<p.a<<","<<p.b<<"}";
}
 
template<class t> ostream& operator<<(ostream& os,const vc<t>& v){
	os<<"{";
	for(auto e:v)os<<e<<",";
	return os<<"}";
}
 
#define mp make_pair
#define mt make_tuple
#define one(x) memset(x,-1,sizeof(x))
#define zero(x) memset(x,0,sizeof(x))
#ifdef LOCAL
void dmpr(ostream&os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
	os<<t<<" ";
	dmpr(os,args...);
}
#define dmp2(...) dmpr(cerr,__LINE__,##__VA_ARGS__)
#else
#define dmp2(...) void(0)
#endif
 
using uint=unsigned;
using ull=unsigned long long;
 
template<class t,size_t n>
ostream& operator<<(ostream&os,const array<t,n>&a){
	return os<<vc<t>(all(a));
}
 
template<int i,class T>
void print_tuple(ostream&,const T&){
}
 
template<int i,class T,class H,class ...Args>
void print_tuple(ostream&os,const T&t){
	if(i)os<<",";
	os<<get<i>(t);
	print_tuple<i+1,T,Args...>(os,t);
}
 
template<class ...Args>
ostream& operator<<(ostream&os,const tuple<Args...>&t){
	os<<"{";
	print_tuple<0,tuple<Args...>,Args...>(os,t);
	return os<<"}";
}
 
template<class t>
void print(t x,int suc=1){
	cout<<x;
	if(suc==1)
		cout<<"\n";
	if(suc==2)
		cout<<" ";
}
 
ll read(){
	ll i;
	cin>>i;
	return i;
}
 
vi readvi(int n,int off=0){
	vi v(n);
	rep(i,n)v[i]=read()+off;
	return v;
}
 
pi readpi(int off=0){
	int a,b;cin>>a>>b;
	return pi(a+off,b+off);
}
 
template<class t,class u>
void print(const pair<t,u>&p,int suc=1){
	print(p.a,2);
	print(p.b,suc);
}
 
template<class T>
void print(const vector<T>&v,int suc=1){
	rep(i,v.size())
		print(v[i],i==int(v.size())-1?suc:2);
}
 
string readString(){
	string s;
	cin>>s;
	return s;
}
 
template<class T>
T sq(const T& t){
	return t*t;
}
 
//#define CAPITAL
void yes(bool ex=true){
	#ifdef CAPITAL
	cout<<"YES"<<"\n";
	#else
	cout<<"Yes"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void no(bool ex=true){
	#ifdef CAPITAL
	cout<<"NO"<<"\n";
	#else
	cout<<"No"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void possible(bool ex=true){
	#ifdef CAPITAL
	cout<<"POSSIBLE"<<"\n";
	#else
	cout<<"Possible"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void impossible(bool ex=true){
	#ifdef CAPITAL
	cout<<"IMPOSSIBLE"<<"\n";
	#else
	cout<<"Impossible"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
 
constexpr ll ten(int n){
	return n==0?1:ten(n-1)*10;
}
 
const ll infLL=LLONG_MAX/3;
 
#ifdef int
const int inf=infLL;
#else
const int inf=INT_MAX/2-100;
#endif
 
int topbit(signed t){
	return t==0?-1:31-__builtin_clz(t);
}
int topbit(ll t){
	return t==0?-1:63-__builtin_clzll(t);
}
int botbit(signed a){
	return a==0?32:__builtin_ctz(a);
}
int botbit(ll a){
	return a==0?64:__builtin_ctzll(a);
}
int popcount(signed t){
	return __builtin_popcount(t);
}
int popcount(ll t){
	return __builtin_popcountll(t);
}
bool ispow2(int i){
	return i&&(i&-i)==i;
}
ll mask(int i){
	return (ll(1)<<i)-1;
}
 
bool inc(int a,int b,int c){
	return a<=b&&b<=c;
}
 
template<class t> void mkuni(vc<t>&v){
	sort(all(v));
	v.erase(unique(all(v)),v.ed);
}
 
ll rand_int(ll l, ll r) { //[l, r]
	#ifdef LOCAL
	static mt19937_64 gen;
	#else
	static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
	#endif
	return uniform_int_distribution<ll>(l, r)(gen);
}
 
template<class t>
void myshuffle(vc<t>&a){
	rep(i,si(a))swap(a[i],a[rand_int(0,i)]);
}
 
template<class t>
int lwb(const vc<t>&v,const t&a){
	return lower_bound(all(v),a)-v.bg;
}
 
vvc<int> readGraph(int n,int m){
	vvc<int> g(n);
	rep(i,m){
		int a,b;
		cin>>a>>b;
		//sc.read(a,b);
		a--;b--;
		g[a].pb(b);
		g[b].pb(a);
	}
	return g;
}
 
vvc<int> readTree(int n){
	return readGraph(n,n-1);
}

struct sub_solver{
	const int nmax;
	vi dp,pre;
	vvc<vi> qs;
	vi flip(int n,vi x){
		assert(is_sorted(all(x)));
		vi y;
		rep(i,n)if(!binary_search(all(x),i)){
			y.pb(i);
		}
		return y;
	}
	sub_solver(const int nmax_):nmax(nmax_),dp(nmax),pre(nmax,-1),qs(nmax){
		dp[1]=1;
		qs[1].pb(vi{0});
		rng(n,2,nmax){
			auto check=[&](int m){
				return m+dp[m/2]-1>=n;
			};
			int lw=1,up=n;
			while(up-lw>1){
				int mid=(lw+up)/2;
				if(check(mid))up=mid;
				else lw=mid;
			}
			pre[n]=up;
			int a=(up+1)/2,b=up/2;
			dp[n]=dp[a]+dp[b];
			int dif=dp[a]-dp[b];
			rep(i,dif){
				qs[n].pb(qs[a][i]);
			}
			rep(i,dp[b]-1){
				{
					vi tmp=flip(a,qs[a][dif+i]);
					for(auto j:qs[b][i])
						tmp.pb(a+j);
					qs[n].pb(tmp);
				}
				{
					vi tmp=qs[a][dif+i];
					for(auto j:qs[b][i])
						tmp.pb(a+j);
					if(up+i<n)tmp.pb(up+i);
					qs[n].pb(tmp);
				}
			}
			qs[n].pb(qs[a].back());
			vi tmp(n);iota(all(tmp),0);
			qs[n].pb(tmp);
			assert(si(qs[n])==dp[n]);
		}
	}
	vi restore(int n,vi vs){
		assert(dp[n]==si(vs));
		if(n==1){
			return vs;
		}else{
			int a=(pre[n]+1)/2,b=pre[n]/2;
			int dif=dp[a]-dp[b];
			vi res(n);
			int w=vs[dp[n]-2];
			vi x,y;
			rep(i,dif){
				x.pb(vs[i]);
			}
			int tot=0;
			rep(i,dp[b]-1){
				int p=vs[dif+i*2],q=vs[dif+i*2+1];
				int z=(p+q)-w;
				if(a+b+i<n){
					res[a+b+i]=z%2;
					tot+=z%2;
				}
				y.pb(z/2);
				x.pb(w-p+z/2);
			}
			x.pb(w);
			y.pb(vs.back()-w-tot);
			auto xx=restore(a,x);
			auto yy=restore(b,y);
			rep(i,a)res[i]=xx[i];
			rep(i,b)res[a+i]=yy[i];
			return res;
		}
	}
	template<class F>
	vi test(int n,F f){
		vi y;
		for(auto x:qs[n])
			y.pb(f(x));
		return restore(n,y);
	}
};

int count_mushrooms(int n){
	vi idx[2];
	idx[0].pb(0);
	int head=1;
	int off[2]{};
	
	int vmax=150;
	sub_solver sub(vmax);
	vmax=lwb(sub.dp,48)-1;
	
	while(head<n){
		int k=si(idx[0])<si(idx[1]);
		int len=si(idx[k]);
		if(inc(2,len,vmax)){
			int u=min(n-head,len-1);
			vi vs;
			for(auto ls:sub.qs[u]){
				int z=-1;
				if(head+u<n){
					z=--n;
				}
				vi tmp;
				if(z!=-1)tmp.pb(z);
				tmp.pb(idx[k][0]);
				rep(i,si(ls)){
					tmp.pb(head+ls[i]);
					tmp.pb(idx[k][i+1]);
				}
				int val=use_machine(tmp);
				if(z!=-1){
					idx[k^(val%2)].pb(z);
				}
				vs.pb(val/2);
			}
			vi res=sub.restore(u,vs);
			rep(i,u)idx[k^res[i]].pb(head+i);
			head+=u;
		}else{
			vi tmp;
			rep(i,len){
				tmp.pb(idx[k][i]);
				if(head<n){
					tmp.pb(head++);
				}
			}
			int use=si(tmp)-len;
			int val=use_machine(tmp);
			int dif=(val+1)/2;
			off[k^1]+=dif;
			off[k]+=use-dif;
			if(use==len){
				k^=val%2;
				off[k]--;
				idx[k].pb(head-1);
			}
		}
	}
	return si(idx[0])+off[0];
}

Subtask #1
100.0 / 100.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 1260 KB Output is correct
2 Correct 4 ms 1260 KB Output is correct
3 Correct 4 ms 1260 KB Output is correct
4 Correct 4 ms 1260 KB Output is correct
5 Correct 7 ms 1260 KB Output is correct
6 Correct 6 ms 1260 KB Output is correct
7 Correct 10 ms 1260 KB Output is correct
8 Correct 10 ms 1280 KB Output is correct
9 Correct 11 ms 1260 KB Output is correct
10 Correct 11 ms 1260 KB Output is correct
11 Correct 12 ms 1260 KB Output is correct
12 Correct 11 ms 1312 KB Output is correct
13 Correct 10 ms 1260 KB Output is correct
14 Correct 8 ms 1260 KB Output is correct
15 Correct 11 ms 1260 KB Output is correct
16 Correct 11 ms 1260 KB Output is correct
17 Correct 8 ms 1260 KB Output is correct
18 Correct 12 ms 1260 KB Output is correct
19 Correct 12 ms 1260 KB Output is correct
20 Correct 10 ms 1260 KB Output is correct
21 Correct 11 ms 1280 KB Output is correct
22 Correct 13 ms 1260 KB Output is correct
23 Correct 13 ms 1260 KB Output is correct
24 Correct 8 ms 1260 KB Output is correct
25 Correct 11 ms 1260 KB Output is correct
26 Correct 12 ms 1260 KB Output is correct
27 Correct 12 ms 1260 KB Output is correct
28 Correct 11 ms 1260 KB Output is correct
29 Correct 11 ms 1280 KB Output is correct
30 Correct 11 ms 1280 KB Output is correct
31 Correct 11 ms 1260 KB Output is correct
32 Correct 13 ms 1260 KB Output is correct
33 Correct 11 ms 1260 KB Output is correct
34 Correct 13 ms 1260 KB Output is correct
35 Correct 11 ms 1260 KB Output is correct
36 Correct 11 ms 1260 KB Output is correct
37 Correct 13 ms 1260 KB Output is correct
38 Correct 13 ms 1260 KB Output is correct
39 Correct 13 ms 1260 KB Output is correct
40 Correct 11 ms 1260 KB Output is correct
41 Correct 11 ms 1260 KB Output is correct
42 Correct 11 ms 1260 KB Output is correct
43 Correct 11 ms 1260 KB Output is correct
44 Correct 11 ms 1260 KB Output is correct
45 Correct 11 ms 1260 KB Output is correct
46 Correct 13 ms 1260 KB Output is correct
47 Correct 11 ms 1260 KB Output is correct
48 Correct 11 ms 1260 KB Output is correct
49 Correct 11 ms 1260 KB Output is correct
50 Correct 10 ms 1280 KB Output is correct
51 Correct 13 ms 1260 KB Output is correct
52 Correct 11 ms 1260 KB Output is correct
53 Correct 11 ms 1260 KB Output is correct
54 Correct 11 ms 1260 KB Output is correct
55 Correct 11 ms 1260 KB Output is correct
56 Correct 11 ms 1260 KB Output is correct
57 Correct 13 ms 1260 KB Output is correct
58 Correct 11 ms 1260 KB Output is correct
59 Correct 12 ms 1260 KB Output is correct
60 Correct 10 ms 1280 KB Output is correct
61 Correct 11 ms 1260 KB Output is correct
62 Correct 4 ms 1260 KB Output is correct
63 Correct 4 ms 1260 KB Output is correct
64 Correct 4 ms 1260 KB Output is correct
65 Correct 4 ms 1260 KB Output is correct
66 Correct 4 ms 1260 KB Output is correct
67 Correct 4 ms 1260 KB Output is correct
68 Correct 4 ms 1260 KB Output is correct
69 Correct 4 ms 1260 KB Output is correct
70 Correct 4 ms 1260 KB Output is correct
71 Correct 5 ms 1260 KB Output is correct
72 Correct 4 ms 1260 KB Output is correct
73 Correct 4 ms 1260 KB Output is correct
74 Correct 6 ms 1260 KB Output is correct
75 Correct 4 ms 1260 KB Output is correct
76 Correct 4 ms 1260 KB Output is correct
77 Correct 4 ms 1260 KB Output is correct
78 Correct 4 ms 1260 KB Output is correct
79 Correct 4 ms 1260 KB Output is correct
80 Correct 4 ms 1260 KB Output is correct
81 Correct 4 ms 1260 KB Output is correct
82 Correct 4 ms 1260 KB Output is correct
83 Correct 4 ms 1260 KB Output is correct
84 Correct 4 ms 1280 KB Output is correct
85 Correct 4 ms 1260 KB Output is correct
86 Correct 4 ms 1260 KB Output is correct
87 Correct 4 ms 1260 KB Output is correct
88 Correct 4 ms 1260 KB Output is correct
89 Correct 4 ms 1280 KB Output is correct
90 Correct 4 ms 1260 KB Output is correct
91 Correct 4 ms 1260 KB Output is correct