#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define f first
#define s second
#define all(x) x.begin(),x.end()
#define _ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
void setIO(string s) {
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
const ll mxn=2e5+5;
const ll mod=1e9+7;
ll arr[mxn];
ll id[mxn];
map<ll,ll> num;
ll MX=0;
pair<ll,ll> segtree[mxn*4][2];
ll fpow(ll a,ll b){
ll ans=1;
while(b>0){
if(b&1) ans=(ans*a)%mod;
a=(a*a)%mod;
b/=2;
}
return ans;
}
pair<ll,ll> comb(pair<ll,ll> a,pair<ll,ll> b){
if(a.f==b.f){
return {a.f,(a.s+b.s)%mod};
}
return max(a,b);
}
void update(ll pos,pair<ll,ll> val,ll k,ll l=1,ll r=MX,ll v=1){
if(l==r){
segtree[v][k]=comb(segtree[v][k],val);
return;
}
ll mid=(l+r)/2;
if(pos<=mid) update(pos,val,k,l,mid,v*2);
else update(pos,val,k,mid+1,r,v*2+1);
segtree[v][k]=comb(segtree[v*2][k],segtree[v*2+1][k]);
}
pair<ll,ll> query(ll tl,ll tr,ll k,ll l=1,ll r=MX,ll v=1){
if(tl>tr || tl>r || tr<l){
return {0,0};
}
else if(tl<=l and r<=tr){
return segtree[v][k];
}
ll mid=(l+r)/2;
return comb(query(tl,min(mid,tr),k,l,mid,v*2),query(max(tl,mid+1),tr,k,mid+1,r,v*2+1));
}
int main() {_
//setIO("wayne");
ll n;
cin>>n;
for(ll i=1;i<=n;i++){
cin>>arr[i];
num[arr[i]]++;
}
for(auto &v:num){
MX++;
v.s=MX;
}
for(ll i=1;i<=n;i++){
id[i]=num[arr[i]];
}
for(ll i=n;i>=1;i--){
pair<ll,ll> tmp=query(id[i]+1,MX,0);
update(id[i],{tmp.f+1,tmp.s+(tmp.f==0)},0);
}
for(ll i=n;i>=1;i--){
pair<ll,ll> tmp=query(1,id[i]-1,1);
update(id[i],{tmp.f+1,tmp.s+(tmp.f==0)},1);
}
/*for(int i=1;i<=n;i++){
cout<<query(i,i,1).f<<','<<query(i,i,1).s<<' '<<query(i,i,0).f<<','<<query(i,i,0).s<<'\n';
}*/
pair<ll,ll> best={0,0};
for(ll i=0;i<=MX;i++){
pair<ll,ll> a,b;
a=query(i,i,1);
b=query(i+1,MX,0);
if(b==make_pair((ll)0,(ll)0)){
b={0,1};
}
if(a==make_pair((ll)0,(ll)0)){
a={0,1};
}
best=comb(best,{(a.f+b.f)%mod,(a.s*b.s)%mod});
//cout<<best.f<<' '<<best.s<<'\n';
}
ll inv2=fpow(2,mod-2);
cout<<best.f<<' '<<((best.s*fpow(2,n-best.f))%mod*inv2)%mod;
return 0;
}
//maybe its multiset not set
Compilation message
zoltan.cpp: In function 'void setIO(std::string)':
zoltan.cpp:10:13: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
10 | freopen((s + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
zoltan.cpp:11:13: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
11 | freopen((s + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
0 ms |
340 KB |
Output is correct |
| 4 |
Correct |
0 ms |
212 KB |
Output is correct |
| 5 |
Correct |
0 ms |
340 KB |
Output is correct |
| 6 |
Correct |
0 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
468 KB |
Output is correct |
| 8 |
Correct |
2 ms |
468 KB |
Output is correct |
| 9 |
Correct |
2 ms |
468 KB |
Output is correct |
| 10 |
Correct |
1 ms |
468 KB |
Output is correct |
| 11 |
Correct |
286 ms |
29108 KB |
Output is correct |
| 12 |
Correct |
245 ms |
27444 KB |
Output is correct |
| 13 |
Correct |
222 ms |
18716 KB |
Output is correct |
| 14 |
Correct |
345 ms |
27444 KB |
Output is correct |
| 15 |
Correct |
449 ms |
30144 KB |
Output is correct |
| 16 |
Correct |
531 ms |
32180 KB |
Output is correct |
| 17 |
Correct |
309 ms |
30216 KB |
Output is correct |
| 18 |
Correct |
301 ms |
30320 KB |
Output is correct |
| 19 |
Correct |
323 ms |
30448 KB |
Output is correct |
| 20 |
Correct |
317 ms |
30332 KB |
Output is correct |
