Submission #676162

# Submission time Handle Problem Language Result Execution time Memory
676162 2022-12-29T15:20:49 Z alexdd Zoltan (COCI16_zoltan) C++17
126 / 140
475 ms 29120 KB
#pragma GCC optimize("O3,unroll-loops")
#include<bits/stdc++.h>
using namespace std;
#define ll long long
const ll MOD = 1000000007;
int n;
int a[200001];
map<int,int> mp;
map<int,int> nor;
int cntn=0;
void normalizare()
{
    for(int i=1;i<=n;i++)
        mp[a[i]]++;
    int val;
    for(auto it:mp)
    {
        val=it.first;
        cntn++;
        nor[val]=cntn;
    }
    for(int i=1;i<=n;i++)
        a[i]=nor[a[i]];
}
ll put(ll x, ll exp)
{
    if(exp==0) return 1;
    if(exp%2==0) return put((x*x)%MOD, exp/2);
    else return (put((x*x)%MOD, exp/2)*x)%MOD;
}
pair<int,int> aint[810000];
pair<int,int> combine(pair<int,int> x, pair<int,int> y)
{
    pair<int,int> aux;
    aux.first = max(x.first, y.first);
    int auxx=0;
    if(aux.first == x.first)
        auxx += x.second;
    auxx%=MOD;
    if(aux.first == y.first)
        auxx += y.second;
    auxx%=MOD;
    aux.second = auxx;
    return aux;
}
void reset_aint()
{
    for(int i=0;i<810000;i++)
        aint[i]={0,0};
}
void upd(int nod, int st, int dr, int poz, pair<int,int> newval)
{
    if(st==dr)
    {
        aint[nod]=combine(aint[nod],newval);
        return;
    }
    int mij=(st+dr)/2;
    if(poz<=mij)
        upd(nod*2,st,mij,poz,newval);
    else
        upd(nod*2+1,mij+1,dr,poz,newval);
    aint[nod]=combine(aint[nod*2],aint[nod*2+1]);
}
pair<int,int> qry(int nod, int st, int dr, int le, int ri)
{
    if(le>ri)
        return {0,0};
    if(le==st && dr==ri)
        return aint[nod];
    int mij=(st+dr)/2;
    return combine(qry(nod*2,st,mij,le,min(mij,ri)),
                   qry(nod*2+1,mij+1,dr,max(mij+1,le),ri));
}
pair<int,int> dp1[200001];
pair<int,int> dp2[200001];
void calc_dp1()
{
    reset_aint();
    for(int i=1;i<=cntn;i++)
        dp1[i]=dp2[i]={0,0};
    pair<int,int> x;
    for(int i=n;i>0;i--)
    {
        x = qry(1,1,cntn,a[i]+1,cntn);
        x.first = x.first + 1;
        if(x.first == 1)
            x.second = 1;
        upd(1,1,cntn,a[i],x);
        dp1[a[i]] = combine(dp1[a[i]], x);
    }
}
void calc_dp2()
{
    reset_aint();
    pair<int,int> x;
    for(int i=n;i>0;i--)
    {
        x = qry(1,1,cntn,1,a[i]-1);
        x.first = x.first + 1;
        if(x.first == 1)
            x.second = 1;
        upd(1,1,cntn,a[i],x);
        dp2[a[i]] = combine(dp2[a[i]], x);
    }
}
signed main()
{
    cin>>n;
    for(int i=1;i<=n;i++)
        cin>>a[i];
    normalizare();
    calc_dp1();
    calc_dp2();
    pair<int,int> rez = {0,0};
    pair<int,int> x ;

    for(int i=1;i<=cntn;i++)
    {
        //cout<<i<<" "<<dp1[i].first<<" "<<dp2[i].first<<"\n";
        x.first = dp1[i].first + dp2[i].first - 1;
        x.second = (1LL*dp1[i].second * dp2[i].second)%MOD;
        rez = combine(rez, x);
    }
    if(rez.first == 1)
    {
        cout<<1<<" ";
        cout<<(put(2,n-1) * n) % MOD;
        return 0;
    }
    cout<<rez.first<<" "<<(rez.second * put(2, n-rez.first))%MOD;
    //cout<<rez.first<<" "<<rez.second;
    return 0;
}
/**


input:
20
13 6 5 15 19 18 9 4 14 17 7 10 3 1 2 8 20 16 11 12
13 6 5            4            3 1 2 8       11 12

correct output:
9 32768


*/

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6612 KB Output is correct
2 Correct 3 ms 6592 KB Output is correct
3 Correct 4 ms 6612 KB Output is correct
4 Correct 4 ms 6612 KB Output is correct
5 Correct 3 ms 6612 KB Output is correct
6 Correct 3 ms 6612 KB Output is correct
7 Correct 4 ms 6740 KB Output is correct
8 Correct 5 ms 6740 KB Output is correct
9 Correct 5 ms 6740 KB Output is correct
10 Correct 4 ms 6740 KB Output is correct
11 Correct 299 ms 24552 KB Output is correct
12 Correct 240 ms 22196 KB Output is correct
13 Correct 221 ms 21192 KB Output is correct
14 Correct 302 ms 22168 KB Output is correct
15 Correct 390 ms 26060 KB Output is correct
16 Correct 475 ms 29120 KB Output is correct
17 Correct 328 ms 25732 KB Output is correct
18 Incorrect 321 ms 25728 KB Output isn't correct
19 Correct 331 ms 25852 KB Output is correct
20 Incorrect 319 ms 25736 KB Output isn't correct