Submission #676164

# Submission time Handle Problem Language Result Execution time Memory
676164 2022-12-29T15:30:39 Z alexdd Zoltan (COCI16_zoltan) C++17
133 / 140
483 ms 29144 KB
#pragma GCC optimize("O3,unroll-loops")
#include<bits/stdc++.h>
using namespace std;
ifstream fin("citire.in");
#define ll long long
//#define cin fin
const ll MOD = 1000000007;
int n;
int a[200005];
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[200005];
pair<int,int> dp2[200005];
void calc_dp1()
{
    reset_aint();
    for(int i=1;i<=n;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);
        dp1[i] = combine(dp1[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);
        dp2[i] = combine(dp2[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++)
    {
        x.first = dp1[i].first + dp2[i].first - 1;
        x.second = (1LL*dp1[i].second * dp2[i].second)%MOD;
        rez = combine(rez, x);
    }
    cout<<rez.first<<" "<<(rez.second * put(2, n-rez.first))%MOD;
    return 0;
}
/**

correct output:
80006 428693327



*/

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6612 KB Output is correct
2 Correct 4 ms 6612 KB Output is correct
3 Correct 3 ms 6612 KB Output is correct
4 Correct 3 ms 6612 KB Output is correct
5 Correct 3 ms 6612 KB Output is correct
6 Incorrect 3 ms 6612 KB Output isn't correct
7 Correct 4 ms 6704 KB Output is correct
8 Correct 4 ms 6740 KB Output is correct
9 Correct 5 ms 6740 KB Output is correct
10 Correct 5 ms 6740 KB Output is correct
11 Correct 280 ms 24548 KB Output is correct
12 Correct 245 ms 22092 KB Output is correct
13 Correct 262 ms 21336 KB Output is correct
14 Correct 300 ms 22180 KB Output is correct
15 Correct 461 ms 26020 KB Output is correct
16 Correct 483 ms 29144 KB Output is correct
17 Correct 381 ms 26256 KB Output is correct
18 Correct 327 ms 26236 KB Output is correct
19 Correct 362 ms 26316 KB Output is correct
20 Correct 347 ms 26208 KB Output is correct