# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
996761 | Nika533 | Zoltan (COCI16_zoltan) | C++14 | 126 ms | 65536 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.
#pragma gcc diagnostic "-std=c++1z"
#include <bits/stdc++.h>
#define int long long
#define pb push_back
#define f first
#define s second
#define MOD 1000000007
#define pii pair<int,int>
#define all(x) (x).begin(),(x).end()
#define allr(x) (x).rbegin(),(x).rend()
using namespace std;
const int N=2e5+5;
int n,m,T,k,arr[N];
pii t[N],dp1[N],dp2[N];
int power(int a, int b) {
int res=1;
while (b) {
if (b%2) {
res=(res*a)%MOD;
}
a=(a*a)%MOD; b/=2;
}
return res;
}
pii MAX(pii a, pii b) {
if (a.f!=b.f) return max(a,b);
return {a.f,a.s+b.s};
}
void build(int v, int tl, int tr) {
if (tl==tr) {
t[v]={0,0};
return;
}
int mid=(tl+tr)/2;
build(v*2,tl,mid); build(v*2+1,mid+1,tr);
t[v]=MAX(t[v*2],t[v*2+1]);
}
void update(int v, int tl, int tr, int ind, pii val) {
if (tl==tr) {
t[v]=MAX(t[v],val);
return;
}
int mid=(tl+tr)/2;
if (ind<=mid) update(v*2,tl,mid,ind,val);
else update(v*2+1,mid+1,tr,ind,val);
t[v]=MAX(t[v*2],t[v*2+1]);
}
pii query(int v, int tl, int tr, int l, int r) {
if (l>r) return {0,0};
if (tl==l && tr==r) return t[v];
int mid=(tl+tr)/2;
return MAX(query(v*2,tl,mid,l,min(mid,r)),query(v*2+1,mid+1,tr,max(l,mid+1),r));
}
void test_case() {
cin>>n;
int arr2[n+1]; map<int,int> IND;
for (int i=1; i<=n; i++) {
cin>>arr[i];
arr2[i]=arr[i];
}
sort(arr2+1,arr2+1+n);
for (int i=1; i<=n; i++) IND[arr2[i]]=i;
for (int i=1; i<=n; i++) arr[i]=IND[arr[i]];
build(1,1,n);
for (int i=n; i>=1; i--) {
pii val=query(1,1,n,arr[i]+1,n); if (val.f==0) val.s=1;
dp1[i]={val.f+1,val.s};
update(1,1,n,arr[i],dp1[i]);
}
build(1,1,n);
dp2[1]={1,1}; update(1,1,n,arr[1],dp2[1]);
for (int i=n; i>=1; i--) {
pii val=query(1,1,n,1,arr[i]-1); if (val.f==0) val.s=1;
dp2[i]={val.f+1,val.s};
update(1,1,n,arr[i],dp2[i]);
}
// dp1[1]={1,1}; update(1,1,n,arr[1],dp1[1]);
// for (int i=2; i<=n; i++) {
// pii val=query(1,1,n,1,arr[i]-1); if (val.f==0) val.s=1;
// dp1[i]={val.f+1,val.s};
// update(1,1,n,arr[i],dp1[i]);
// }
// build(1,1,n);
// dp2[1]={1,1}; update(1,1,n,arr[1],dp2[1]);
// for (int i=2; i<=n; i++) {
// pii val=query(1,1,n,arr[i]+1,n); if (val.f==0) val.s=1;
// dp2[i]={val.f+1,val.s};
// update(1,1,n,arr[i],dp2[i]);
// }
pii ans={0,0};
for (int i=1; i<=n; i++) {
pii val=query(1,1,n,1,arr[i]-1); if (val.f==0) val.s=1;
if (i==1) val={0,1};
pii ans2; ans2.f=val.f+dp1[i].f; ans2.s=val.s*dp1[i].s;
ans2.s*=power(2,n-ans2.f);
ans=MAX(ans,ans2);
// cout<<"I "<<i<<" "<<val.f<<" "<<val.s<<" "<<dp1[i].f<<" "<<dp1[i].s<<endl;
// cout<<ans2.f<<" "<<ans2.s<<endl;
}
cout<<ans.f<<" "<<ans.s<<endl;
}
main () {
ios :: sync_with_stdio(0);
cin.tie(0); cout.tie(0);
T=1;
while (T--) test_case();
}
Compilation message (stderr)
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