Submission #937730

# Submission time Handle Problem Language Result Execution time Memory
937730 2024-03-04T12:08:21 Z amirhoseinfar1385 Zoltan (COCI16_zoltan) C++17
140 / 140
238 ms 15304 KB
#include<bits/stdc++.h>
using namespace std;
const int maxn=200000+10,mod=1e9+7;
long long mypow(long long m,long long y){
	if(y==0){
		return 1;
	}
	long long p=mypow(m,(y>>1));
	p*=p;
	p%=mod;
	if(y&1){
		p*=m;
		p%=mod;
	}
	return p;
}
long long n,all[maxn],len[maxn],dp[maxn];
struct node{
	int mx,ted;
	node(){
		mx=0;
		ted=1;
	}
}fakenode;
int kaf=(1<<18);

struct segment{
	node seg[(1<<19)];
	node merge(node a,node b){
		if(a.mx>b.mx){
			return a;
		}else if(b.mx>a.mx){
			return b;
		}
		a.ted+=b.ted;
		a.ted%=mod;
		if(a.mx==0){
			a.ted=1;
		}
		return a;
	}
	void upd(int i,int l,int r,int tl,int tr,node f){
		if(l>r||l>tr||r<tl||tl>tr){
			return ;
		}
		if(l>=tl&&r<=tr){
			seg[i]=merge(f,seg[i]);
			return ;
		}
		int m=(l+r)>>1;
		upd((i<<1),l,m,tl,tr,f);
		upd((i<<1)^1,m+1,r,tl,tr,f);
		seg[i]=merge(seg[(i<<1)],seg[(i<<1)^1]);
	}
	node pors(int i,int l,int r,int tl,int tr){
		if(l>r||l>tr||r<tl||tl>tr){
			return fakenode;
		}
		if(l>=tl&&r<=tr){
			return seg[i];
		}
		int m=(l+r)>>1;
		return merge(pors((i<<1),l,m,tl,tr),pors((i<<1)^1,m+1,r,tl,tr));
	}
}seginc,segdec;

void vorod(){
	cin>>n;
	vector<int>allind;
	for(long long i=0;i<n;i++){
		cin>>all[i];
		allind.push_back(all[i]);
	}
	sort(allind.begin(),allind.end());
	allind.resize(unique(allind.begin(),allind.end())-allind.begin());
	for(int i=0;i<n;i++){
		all[i]=lower_bound(allind.begin(),allind.end(),all[i])-allind.begin();
	}
}

void solve(){
	for(int i=n-1;i>=0;i--){
		node fdec=segdec.pors(1,0,kaf-1,all[i]+1,n+1);
		node finc=seginc.pors(1,0,kaf-1,0,all[i]-1);
		len[i]=fdec.mx+finc.mx+1;
		dp[i]=1ll*fdec.ted*finc.ted%mod;
		//cout<<i<<" "<<finc.mx<<" "<<finc.ted<<" "<<fdec.mx<<" "<<fdec.ted<<endl;
		finc.mx++;
		fdec.mx++;
		if(finc.mx==1){
			finc.ted=1;
		}
		if(fdec.mx==1){
			fdec.ted=1;
		}
		seginc.upd(1,0,kaf-1,all[i],all[i],finc);
		segdec.upd(1,0,kaf-1,all[i],all[i],fdec);
	}
}

void khor(){
	long long ted=0,res=0;
	for(int i=0;i<n;i++){
		if(len[i]==res){
			ted+=dp[i];
			ted%=mod;
		}else if(len[i]>res){
			res=len[i];
			ted=dp[i];
		}
	}
	//cout<<"wtf: "<<res<<" "<<ted<<endl;
	ted=1ll*ted*mypow(2,n-res)%mod;
	cout<<res<<" "<<ted<<"\n";
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	//freopen("inp.txt","r",stdin);
	vorod();
	solve();
	khor();
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 12892 KB Output is correct
2 Correct 3 ms 12892 KB Output is correct
3 Correct 2 ms 12892 KB Output is correct
4 Correct 3 ms 12888 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 3 ms 12924 KB Output is correct
7 Correct 3 ms 12892 KB Output is correct
8 Correct 3 ms 12892 KB Output is correct
9 Correct 3 ms 12936 KB Output is correct
10 Correct 3 ms 12892 KB Output is correct
11 Correct 155 ms 14176 KB Output is correct
12 Correct 124 ms 14096 KB Output is correct
13 Correct 119 ms 14044 KB Output is correct
14 Correct 166 ms 14144 KB Output is correct
15 Correct 230 ms 14900 KB Output is correct
16 Correct 238 ms 15304 KB Output is correct
17 Correct 180 ms 14500 KB Output is correct
18 Correct 201 ms 14524 KB Output is correct
19 Correct 193 ms 14744 KB Output is correct
20 Correct 204 ms 14732 KB Output is correct