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Submission #289210

# Submission time Handle Problem Language Result Execution time Memory
289210 2020-09-02T13:06:28 Z TadijaSebez Fibonacci representations (CEOI18_fib) C++11
65 / 100
 3962 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 48 ms 17528 KB Output is correct
2 Correct 50 ms 17656 KB Output is correct
3 Correct 50 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 48 ms 17528 KB Output is correct
2 Correct 50 ms 17656 KB Output is correct
3 Correct 50 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 54 ms 17656 KB Output is correct
8 Correct 49 ms 17656 KB Output is correct
9 Correct 52 ms 17784 KB Output is correct
10 Correct 51 ms 17660 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 52 ms 17532 KB Output is correct
2 Correct 50 ms 17656 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 17528 KB Output is correct
2 Correct 50 ms 17656 KB Output is correct
3 Correct 50 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 54 ms 17656 KB Output is correct
8 Correct 49 ms 17656 KB Output is correct
9 Correct 52 ms 17784 KB Output is correct
10 Correct 51 ms 17660 KB Output is correct
11 Correct 50 ms 17656 KB Output is correct
12 Correct 50 ms 17656 KB Output is correct
13 Correct 52 ms 17532 KB Output is correct
14 Correct 50 ms 17656 KB Output is correct
15 Correct 50 ms 17656 KB Output is correct
16 Correct 49 ms 17656 KB Output is correct
17 Correct 49 ms 17656 KB Output is correct
18 Correct 50 ms 17660 KB Output is correct
19 Correct 50 ms 17656 KB Output is correct
20 Correct 51 ms 17788 KB Output is correct
21 Correct 50 ms 17784 KB Output is correct
22 Correct 52 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 51 ms 17656 KB Output is correct
2 Correct 2378 ms 96872 KB Output is correct
3 Correct 2560 ms 102372 KB Output is correct

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 17528 KB Output is correct
2 Correct 50 ms 17656 KB Output is correct
3 Correct 50 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 54 ms 17656 KB Output is correct
8 Correct 49 ms 17656 KB Output is correct
9 Correct 52 ms 17784 KB Output is correct
10 Correct 51 ms 17660 KB Output is correct
11 Correct 50 ms 17656 KB Output is correct
12 Correct 50 ms 17656 KB Output is correct
13 Correct 52 ms 17532 KB Output is correct
14 Correct 50 ms 17656 KB Output is correct
15 Correct 50 ms 17656 KB Output is correct
16 Correct 49 ms 17656 KB Output is correct
17 Correct 49 ms 17656 KB Output is correct
18 Correct 50 ms 17660 KB Output is correct
19 Correct 50 ms 17656 KB Output is correct
20 Correct 51 ms 17788 KB Output is correct
21 Correct 50 ms 17784 KB Output is correct
22 Correct 52 ms 17784 KB Output is correct
23 Correct 51 ms 17788 KB Output is correct
24 Correct 51 ms 17656 KB Output is correct
25 Correct 2378 ms 96872 KB Output is correct
26 Correct 2560 ms 102372 KB Output is correct
27 Correct 604 ms 39408 KB Output is correct
28 Correct 1079 ms 57192 KB Output is correct
29 Correct 904 ms 65508 KB Output is correct
30 Correct 1138 ms 59368 KB Output is correct
31 Correct 2523 ms 163412 KB Output is correct
32 Correct 1641 ms 91996 KB Output is correct
33 Correct 2485 ms 155780 KB Output is correct
34 Correct 2659 ms 164304 KB Output is correct
35 Correct 2525 ms 146524 KB Output is correct
36 Correct 2955 ms 152784 KB Output is correct
37 Correct 2417 ms 111324 KB Output is correct
38 Correct 2387 ms 96720 KB Output is correct
39 Correct 1410 ms 87260 KB Output is correct
40 Correct 1878 ms 121428 KB Output is correct
41 Correct 3962 ms 139552 KB Output is correct
42 Correct 2499 ms 97084 KB Output is correct
43 Correct 2210 ms 131716 KB Output is correct
44 Runtime error 1096 ms 262148 KB Execution killed with signal 9
45 Halted 0 ms 0 KB -