oj.uz

Submission #289209

# Submission time Handle Problem Language Result Execution time Memory
289209 2020-09-02T13:05:19 Z TadijaSebez Fibonacci representations (CEOI18_fib) C++11
65 / 100
 3769 ms 262148 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int,int>
#define pb push_back
const int mod=1e9+7;
const int inf=1e9+1000;
int add(int x,int y){x+=y;return x>=mod?x-mod:x;}
int mul(int x,int y){return (ll)x*y%mod;}
#define matrix vector<vector<int>>
matrix operator * (matrix a,matrix b){
	matrix ans(2,vector<int>(2,0));
	ans[0][0]=((ll)a[0][0]*b[0][0]+(ll)a[0][1]*b[1][0])%mod;
	ans[0][1]=((ll)a[0][0]*b[0][1]+(ll)a[0][1]*b[1][1])%mod;
	ans[1][0]=((ll)a[1][0]*b[0][0]+(ll)a[1][1]*b[1][0])%mod;
	ans[1][1]=((ll)a[1][0]*b[0][1]+(ll)a[1][1]*b[1][1])%mod;
	return ans;
}
matrix pow(matrix x,int k){
	matrix ans(2,vector<int>(2,0));
	ans[0][0]=ans[1][1]=1;
	for(;k;k>>=1,x=x*x)if(k&1)ans=ans*x;
	return ans;
}
matrix build(int sz){
	return {{1,1},{(sz-1)/2,sz/2}};
}
const int N=100050;
matrix po[N];
int root;
matrix idx;
mt19937 rng(time(0));
/*namespace Treap{
	const int M=N*20;
	int ls[M],rs[M],tsz,pri[M];
	pii key[M];
	matrix sum[M],my[M];
	void pull(int c){sum[c]=sum[rs[c]]*my[c]*sum[ls[c]];}
	int Make(pii a,matrix x){tsz++;assert(tsz<M);my[tsz]=sum[tsz]=x;key[tsz]=a;pri[tsz]=rng();return tsz;}
	void rot_l(int&c){int a=rs[c],b=ls[a];rs[c]=b;ls[a]=c;pull(c);pull(a);c=a;}
	void rot_r(int&c){int a=ls[c],b=rs[a];ls[c]=b;rs[a]=c;pull(c);pull(a);c=a;}
	void Ins(int&c,pii a,matrix x){
		if(!c)c=Make(a,x);
		else if(key[c]==a)my[c]=x,pull(c);
		else if(key[c]<a){
			Ins(rs[c],a,x);
			if(pri[rs[c]]>pri[c])rot_l(c);
			else pull(c);
		}else{
			Ins(ls[c],a,x);
			if(pri[ls[c]]>pri[c])rot_r(c);
			else pull(c);
		}
	}
}*/
matrix make(pii p,int dist){
	return po[(p.second-p.first)/2-1]*build(dist);
}
set<pii> seg;
bool sol;
int tme;
vector<pii> all;
vector<pair<pii,matrix>> I[N];
int p2;
vector<matrix> st;
void Cng(pii p,matrix m){
	if(!sol){
		I[tme].pb({p,m});
		all.pb(p);
	}else{
		int i=lower_bound(all.begin(),all.end(),p)-all.begin()+p2;
		st[i]=m;
		for(i>>=1;i;i>>=1)st[i]=st[i<<1|1]*st[i<<1];
	}
}
void Ins(pii p){
	seg.insert(p);
	auto it=seg.find(p);
	if(it==seg.begin())Cng(p,make(p,p.first+1));
	else Cng(p,make(p,p.first+1-(prev(it)->second-1)));
	if(next(it)!=seg.end())Cng(*next(it),make(*next(it),next(it)->first+1-(p.second-1)));
}
void Rem(pii p){
	auto it=seg.find(p);
	int l=0;
	if(it!=seg.begin())l=prev(it)->second-1;
	Cng(p,idx);
	if(next(it)!=seg.end())Cng(*next(it),make(*next(it),next(it)->first+1-l));
	seg.erase(it);
}
void Add(int x){
	auto it=seg.upper_bound({x,inf});
	if(it==seg.begin()||prev(it)->second<x){
		int l=x-1,r=x+1;
		if(it!=seg.begin()&&prev(it)->second==x-1)l=prev(it)->first,Rem(*prev(it));
		if(it!=seg.end()&&it->first==x+1)r=it->second,Rem(*it);
		Ins({l,r});
	}else{
		it--;
		if(x%2==it->first%2){
			int l,r;tie(l,r)=*it;
			Rem(*it);
			if(l<min(x,r-2))Ins({l,min(x,r-2)});
			Add(r+(x==r));
		}else{
			int l,r;tie(l,r)=*it;
			Rem(*it);
			if(l+1<x)Ins({l+1,x});
			if(l>0)Add(max(1,l-1));
			Add(r);
		}
	}
}
int Solve(){
	matrix m=st[1];
	return add(m[0][0],m[1][0]);
}
int main(){
	idx={{1,0},{0,1}};
	//Treap::sum[0]=idx;
	po[0]=idx;
	po[1]=build(2);
	for(int i=2;i<N;i++)po[i]=po[i-1]*po[1];
	int n;
	scanf("%i",&n);
	sol=0;
	for(int i=1;i<=n;i++){
		int a;
		tme=i;
		scanf("%i",&a);
		Add(a);
		//printf("%i\n",Solve());
	}
	sort(all.begin(),all.end());
	all.erase(unique(all.begin(),all.end()),all.end());
	p2=1;while(p2<all.size())p2*=2;
	st.assign(p2*2,idx);
	sol=1;
	seg.clear();
	for(int i=1;i<=n;i++){
		reverse(I[i].begin(),I[i].end());
		set<pii> was;
		for(auto p:I[i])if(!was.count(p.first))Cng(p.first,p.second),was.insert(p.first);
		printf("%i\n",Solve());
	}
	return 0;
}

Compilation message

fib.cpp: In function 'int main()':
fib.cpp:136:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  136 |  p2=1;while(p2<all.size())p2*=2;
      |             ~~^~~~~~~~~~~
fib.cpp:125:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  125 |  scanf("%i",&n);
      |  ~~~~~^~~~~~~~~
fib.cpp:130:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  130 |   scanf("%i",&a);
      |   ~~~~~^~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 17656 KB Output is correct
2 Correct 47 ms 17528 KB Output is correct
3 Correct 47 ms 17528 KB Output is correct
4 Correct 49 ms 17528 KB Output is correct
5 Correct 48 ms 17528 KB Output is correct
6 Correct 48 ms 17528 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 17656 KB Output is correct
2 Correct 47 ms 17528 KB Output is correct
3 Correct 47 ms 17528 KB Output is correct
4 Correct 49 ms 17528 KB Output is correct
5 Correct 48 ms 17528 KB Output is correct
6 Correct 48 ms 17528 KB Output is correct
7 Correct 49 ms 17656 KB Output is correct
8 Correct 50 ms 17688 KB Output is correct
9 Correct 51 ms 17656 KB Output is correct
10 Correct 50 ms 17656 KB Output is correct
11 Correct 50 ms 17656 KB Output is correct
12 Correct 50 ms 17656 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 17656 KB Output is correct
2 Correct 53 ms 17648 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 17656 KB Output is correct
2 Correct 47 ms 17528 KB Output is correct
3 Correct 47 ms 17528 KB Output is correct
4 Correct 49 ms 17528 KB Output is correct
5 Correct 48 ms 17528 KB Output is correct
6 Correct 48 ms 17528 KB Output is correct
7 Correct 49 ms 17656 KB Output is correct
8 Correct 50 ms 17688 KB Output is correct
9 Correct 51 ms 17656 KB Output is correct
10 Correct 50 ms 17656 KB Output is correct
11 Correct 50 ms 17656 KB Output is correct
12 Correct 50 ms 17656 KB Output is correct
13 Correct 50 ms 17656 KB Output is correct
14 Correct 53 ms 17648 KB Output is correct
15 Correct 49 ms 17656 KB Output is correct
16 Correct 50 ms 17656 KB Output is correct
17 Correct 48 ms 17672 KB Output is correct
18 Correct 49 ms 17656 KB Output is correct
19 Correct 49 ms 17656 KB Output is correct
20 Correct 54 ms 17784 KB Output is correct
21 Correct 51 ms 17788 KB Output is correct
22 Correct 51 ms 17784 KB Output is correct
23 Correct 51 ms 17788 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 17656 KB Output is correct
2 Correct 2337 ms 96976 KB Output is correct
3 Correct 2579 ms 102608 KB Output is correct

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 17656 KB Output is correct
2 Correct 47 ms 17528 KB Output is correct
3 Correct 47 ms 17528 KB Output is correct
4 Correct 49 ms 17528 KB Output is correct
5 Correct 48 ms 17528 KB Output is correct
6 Correct 48 ms 17528 KB Output is correct
7 Correct 49 ms 17656 KB Output is correct
8 Correct 50 ms 17688 KB Output is correct
9 Correct 51 ms 17656 KB Output is correct
10 Correct 50 ms 17656 KB Output is correct
11 Correct 50 ms 17656 KB Output is correct
12 Correct 50 ms 17656 KB Output is correct
13 Correct 50 ms 17656 KB Output is correct
14 Correct 53 ms 17648 KB Output is correct
15 Correct 49 ms 17656 KB Output is correct
16 Correct 50 ms 17656 KB Output is correct
17 Correct 48 ms 17672 KB Output is correct
18 Correct 49 ms 17656 KB Output is correct
19 Correct 49 ms 17656 KB Output is correct
20 Correct 54 ms 17784 KB Output is correct
21 Correct 51 ms 17788 KB Output is correct
22 Correct 51 ms 17784 KB Output is correct
23 Correct 51 ms 17788 KB Output is correct
24 Correct 49 ms 17656 KB Output is correct
25 Correct 2337 ms 96976 KB Output is correct
26 Correct 2579 ms 102608 KB Output is correct
27 Correct 600 ms 39536 KB Output is correct
28 Correct 1083 ms 57196 KB Output is correct
29 Correct 899 ms 65512 KB Output is correct
30 Correct 1162 ms 59872 KB Output is correct
31 Correct 2519 ms 163536 KB Output is correct
32 Correct 1658 ms 92780 KB Output is correct
33 Correct 2472 ms 156368 KB Output is correct
34 Correct 2632 ms 164892 KB Output is correct
35 Correct 2553 ms 146700 KB Output is correct
36 Correct 2976 ms 153296 KB Output is correct
37 Correct 2467 ms 111580 KB Output is correct
38 Correct 2359 ms 97992 KB Output is correct
39 Correct 1415 ms 87432 KB Output is correct
40 Correct 1935 ms 121424 KB Output is correct
41 Correct 3769 ms 140248 KB Output is correct
42 Correct 2372 ms 98020 KB Output is correct
43 Correct 2184 ms 132988 KB Output is correct
44 Runtime error 1054 ms 262148 KB Execution killed with signal 9
45 Halted 0 ms 0 KB -