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Submission #289220

# Submission time Handle Problem Language Result Execution time Memory
289220 2020-09-02T13:15:44 Z TadijaSebez Fibonacci representations (CEOI18_fib) C++11
65 / 100
 4000 ms 126204 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,int>> I[N];
int p2;
vector<matrix> st;
void Cng(pii p,int 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==-1?idx:make(p,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,p.first+1);
	else Cng(p,p.first+1-(prev(it)->second-1));
	if(next(it)!=seg.end())Cng(*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,-1);
	if(next(it)!=seg.end())Cng(*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));
		it=seg.upper_bound({x,inf});
		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:137:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  137 |  p2=1;while(p2<all.size())p2*=2;
      |             ~~^~~~~~~~~~~
fib.cpp:126:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  126 |  scanf("%i",&n);
      |  ~~~~~^~~~~~~~~
fib.cpp:131:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  131 |   scanf("%i",&a);
      |   ~~~~~^~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 17528 KB Output is correct
2 Correct 52 ms 17528 KB Output is correct
3 Correct 51 ms 17528 KB Output is correct
4 Correct 52 ms 17528 KB Output is correct
5 Correct 51 ms 17528 KB Output is correct
6 Correct 51 ms 17528 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 17528 KB Output is correct
2 Correct 52 ms 17528 KB Output is correct
3 Correct 51 ms 17528 KB Output is correct
4 Correct 52 ms 17528 KB Output is correct
5 Correct 51 ms 17528 KB Output is correct
6 Correct 51 ms 17528 KB Output is correct
7 Correct 52 ms 17528 KB Output is correct
8 Correct 52 ms 17656 KB Output is correct
9 Correct 54 ms 17628 KB Output is correct
10 Correct 60 ms 17656 KB Output is correct
11 Correct 53 ms 17656 KB Output is correct
12 Correct 54 ms 17656 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 17528 KB Output is correct
2 Correct 54 ms 17528 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 17528 KB Output is correct
2 Correct 52 ms 17528 KB Output is correct
3 Correct 51 ms 17528 KB Output is correct
4 Correct 52 ms 17528 KB Output is correct
5 Correct 51 ms 17528 KB Output is correct
6 Correct 51 ms 17528 KB Output is correct
7 Correct 52 ms 17528 KB Output is correct
8 Correct 52 ms 17656 KB Output is correct
9 Correct 54 ms 17628 KB Output is correct
10 Correct 60 ms 17656 KB Output is correct
11 Correct 53 ms 17656 KB Output is correct
12 Correct 54 ms 17656 KB Output is correct
13 Correct 51 ms 17528 KB Output is correct
14 Correct 54 ms 17528 KB Output is correct
15 Correct 51 ms 17528 KB Output is correct
16 Correct 54 ms 17656 KB Output is correct
17 Correct 52 ms 17656 KB Output is correct
18 Correct 52 ms 17528 KB Output is correct
19 Correct 53 ms 17656 KB Output is correct
20 Correct 54 ms 17656 KB Output is correct
21 Correct 55 ms 17656 KB Output is correct
22 Correct 55 ms 17656 KB Output is correct
23 Correct 54 ms 17656 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 17656 KB Output is correct
2 Correct 2464 ms 67312 KB Output is correct
3 Correct 2665 ms 67168 KB Output is correct

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 17528 KB Output is correct
2 Correct 52 ms 17528 KB Output is correct
3 Correct 51 ms 17528 KB Output is correct
4 Correct 52 ms 17528 KB Output is correct
5 Correct 51 ms 17528 KB Output is correct
6 Correct 51 ms 17528 KB Output is correct
7 Correct 52 ms 17528 KB Output is correct
8 Correct 52 ms 17656 KB Output is correct
9 Correct 54 ms 17628 KB Output is correct
10 Correct 60 ms 17656 KB Output is correct
11 Correct 53 ms 17656 KB Output is correct
12 Correct 54 ms 17656 KB Output is correct
13 Correct 51 ms 17528 KB Output is correct
14 Correct 54 ms 17528 KB Output is correct
15 Correct 51 ms 17528 KB Output is correct
16 Correct 54 ms 17656 KB Output is correct
17 Correct 52 ms 17656 KB Output is correct
18 Correct 52 ms 17528 KB Output is correct
19 Correct 53 ms 17656 KB Output is correct
20 Correct 54 ms 17656 KB Output is correct
21 Correct 55 ms 17656 KB Output is correct
22 Correct 55 ms 17656 KB Output is correct
23 Correct 54 ms 17656 KB Output is correct
24 Correct 52 ms 17656 KB Output is correct
25 Correct 2464 ms 67312 KB Output is correct
26 Correct 2665 ms 67168 KB Output is correct
27 Correct 631 ms 30552 KB Output is correct
28 Correct 1101 ms 42220 KB Output is correct
29 Correct 744 ms 26088 KB Output is correct
30 Correct 1205 ms 42384 KB Output is correct
31 Correct 2285 ms 72044 KB Output is correct
32 Correct 1506 ms 46540 KB Output is correct
33 Correct 2105 ms 70912 KB Output is correct
34 Correct 2220 ms 72016 KB Output is correct
35 Correct 2342 ms 69968 KB Output is correct
36 Correct 2780 ms 70460 KB Output is correct
37 Correct 2186 ms 33628 KB Output is correct
38 Correct 2454 ms 67172 KB Output is correct
39 Correct 1189 ms 27996 KB Output is correct
40 Correct 1524 ms 34528 KB Output is correct
41 Correct 3736 ms 44272 KB Output is correct
42 Correct 2496 ms 67100 KB Output is correct
43 Correct 1772 ms 34776 KB Output is correct
44 Execution timed out 4089 ms 126204 KB Time limit exceeded
45 Halted 0 ms 0 KB -