# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
787074 | Ahmed57 | Zoltan (COCI16_zoltan) | C++17 | 401 ms | 34828 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#include<queue>
using namespace std;
long long n;long long arr[200005];
long long mod = 1000000007;
struct node{
long long ma,cnt;
}seg[800001],em;
node combine(node a,node b){
node ans;
ans.ma = max(a.ma,b.ma);
if(a.ma==b.ma)ans.cnt = (a.cnt+b.cnt)%mod;
if(a.ma>b.ma)ans.cnt = a.cnt;
if(b.ma>a.ma)ans.cnt = b.cnt;
return ans;
}
void build(int p,int l,int r){
if(l==r){
seg[p] = em;
return ;
}
int md = (l+r)/2;
build(p*2,l,md);build(p*2+1,md+1,r);
seg[p] = combine(seg[p*2],seg[p*2+1]);
}
void update(int p,int l,int r,int idx,pair<long long,long long> val){
if(l==r){
if(val.first>seg[p].ma){
seg[p].ma = val.first;
seg[p].cnt = val.second;
}else if(val.first==seg[p].ma){
seg[p].cnt += val.second;
}
return ;
}int md = (l+r)/2;
if(idx<=md)update(p*2,l,md,idx,val);
else update(p*2+1,md+1,r,idx,val);
seg[p] = combine(seg[p*2],seg[p*2+1]);
}
node query(int p,int l,int r,int lq,int rq){
if(l>rq||r<lq||l>r)return em;
if(l>=lq&&r<=rq)return seg[p];
int md = (l+r)/2;
return combine(query(p*2,l,md,lq,rq),query(p*2+1,md+1,r,lq,rq));
}
int main(){
em.ma = -1 , em.cnt = 1;
cin>>n;
for(int i = 0;i<n;i++){
cin>>arr[i];arr[i]++;
}
arr[n] = 1;
map<int,int> comp,sav;
for(int i = 0;i<=n;i++)comp[arr[i]]++;
int z = 0;
for(auto i:comp){
sav[i.first] = ++z;
}
for(int i = 0;i<=n;i++)arr[i] = sav[arr[i]];
build(1,1,z);
node dpr[n+1];
for(int i = n;i>=0;i--){
if(i==n){
dpr[i].ma = 0 , dpr[i].cnt = 1;
}else{
dpr[i] = query(1,1,z,1,arr[i]-1);
dpr[i].ma ++;
//dpr[i] = combine(dpr[i+1],dpr[i]);
//cout<<dpr[i].cnt<<" "<<dpr[i].ma<<endl;
}
update(1,1,z,arr[i],make_pair(dpr[i].ma,dpr[i].cnt));
}
node dpl[n+1];
build(1,1,z);
for(int i =1;i<n;i++){
update(1,1,z,arr[i-1],make_pair(dpr[i-1].ma,dpr[i-1].cnt));
dpl[i] = query(1,1,z,1,arr[i]-1);
dpl[i].ma ++;
//cout<<dpl[i].ma<<endl;
//if(i>1)dpl[i] = combine(dpl[i-1],dpl[i]);
//else dpl[i] = combine(dpr[0],dpl[i]);
update(1,1,z,arr[i],make_pair(dpl[i].ma,dpl[i].cnt));
}
long long xd = 1;
long long mi = -1 , su = 0;
for(int i = 0;i<n;i++){
if(mi<dpr[i].ma){
mi = dpr[i].ma;
su = 0;
}if(mi==dpr[i].ma){
su+=dpr[i].cnt;
}
}
for(int i = 1;i<n;i++){
if(mi<dpl[i].ma){
mi = dpl[i].ma;
su = 0;
}if(mi==dpl[i].ma){
su+=dpl[i].cnt;
}
}
for(int i = 0;i<n-mi;i++){
xd*=2;xd%=mod;
}
cout<<mi<<" "<<(su*xd)%mod<<endl;
}
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