# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
940696 | 12345678 | Zoltan (COCI16_zoltan) | C++17 | 375 ms | 26964 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>
using namespace std;
#define ll long long
const int nx=2e5+5, mod=1e9+7;
int n, v[nx], t, p[nx];
ll ansmx, cnt;
map<int, int> mp;
struct node
{
int mx, w;
node(int mx=0, int w=1): mx(mx), w(w) {}
friend node operator+(const node &a, const node &b) {
node res;
res.mx=max(a.mx, b.mx);
if (a.mx==b.mx) res.w=(a.w+b.w)%mod;
else res.w=(a.mx>b.mx)?a.w:b.w;
if (res.mx==0) res.w=1;
return res;
}
} dpi[nx], dpd[nx];
struct segtree
{
node d[4*nx];
void update(int l, int r, int i, int idx, node vl)
{
if (idx<l||r<idx) return;
if (l==r) return d[i]=d[i]+vl, void();
int md=(l+r)/2;
update(l, md, 2*i, idx, vl);
update(md+1, r, 2*i+1, idx, vl);
d[i]=d[2*i]+d[2*i+1];
}
node query(int l, int r, int i, int ql, int qr)
{
if (r<ql||qr<l) return node();
if (ql<=l&&r<=qr) return d[i];
int md=(l+r)/2;
return query(l, md, 2*i, ql, qr)+query(md+1, r, 2*i+1, ql, qr);
}
} lis, lds;
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
cin>>n;
p[0]=1;
for (int i=1; i<=n; i++) p[i]=(p[i-1]*2)%mod;
for (int i=1; i<=n; i++) cin>>v[i], mp[v[i]]=0;
for (auto &[x, y]:mp) y=++t;
for (int i=n; i>=1; i--)
{
node a=lis.query(1, n, 1, mp[v[i]]+1, n);
node b=lds.query(1, n, 1, 1, mp[v[i]]-1);
a.mx++;
b.mx++;
dpi[i]=a;
dpd[i]=b;
lis.update(1, n, 1, mp[v[i]], a);
lds.update(1, n, 1, mp[v[i]], b);
}
for (int i=1; i<=n; i++)
{
ll tmp=1, tmx;
tmx=dpi[i].mx+dpd[i].mx-1;
tmp=(p[n-tmx]*tmp)%mod;
tmp=((tmp*dpi[i].w)%mod*dpd[i].w)%mod;
//cout<<"here "<<i<<' '<<tmp.mx<<' '<<tmp.w<<'\n', cout<<i<<' '<<dpi[i].mx<<' '<<dpi[i].w<<' '<<dpd[i].mx<<' '<<dpd[i].w<<'\n';
if (tmx>ansmx) ansmx=tmx, cnt=tmp;
else if (tmx==ansmx) cnt=(cnt+tmp)%mod;
}
cout<<ansmx<<' '<<cnt;
//for (int i=1; i<=n; i++) cout<<i<<' '<<dpi[i].mx<<' '<<dpi[i].w<<' '<<dpd[i].mx<<' '<<dpd[i].w<<'\n';
}
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