Submission #499446

# Submission time Handle Problem Language Result Execution time Memory
499446 2021-12-28T12:37:20 Z andrei_boaca Present (RMI21_present) C++17
100 / 100
72 ms 368 KB
#include <bits/stdc++.h>

using namespace std;
/*ifstream fin("present.in");
ofstream fout("present.out");*/
typedef long long ll;
unordered_map<ll,ll> D,X;
vector<ll> mem=
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};
void precalc()
{
    for(int i=1;i<=40;i++)
        for(int j=1;j<=40;j++)
            if(i>j)
            {
                int k=__gcd(i,j);
                ll I=(1LL<<i);
                ll J=(1LL<<j);
                ll K=(1LL<<k);
                if(J==K)
                    D[I]|=K;
                X[I|K]|=J;
                X[J|K]|=I;
            }
}
struct gcdSet
{
    vector<ll> ST;
    ll val;
    int ord;
    gcdSet()
    {
        val=1LL<<1;
        ST.push_back(val);
        ord=1;
    }
    void nxt()
    {
        ll aux=val+2LL;
        ll bit=(aux&(-aux));
        while(ST.size()&&ST.back()<bit)
        {
            val-=ST.back();
            ST.pop_back();
        }
        ll di=D[bit]-(D[bit]&val);
        ll st=bit;
        while(di)
        {
            ll divi=(di&(-di));
            if(X[divi|bit]&val)
                st|=divi;
            di-=divi;
        }
        ST.push_back(st);
        val|=st;
        ord++;
    }
};
gcdSet gSet(int i)
{
    gcdSet ret;
    ll aux=mem[i];
    vector<ll> St;
    ll Val=0LL;
    int Ord=1000000*i+1;
    for(ll bit=1LL<<37; bit>1LL; bit>>=1)
        if(aux&bit)
        {
            ll st=bit;
            ll di=D[bit]-(D[bit]&Val);
            while(di)
            {
                ll diBit=di&(-di);
                if(X[bit|diBit]&Val)
                    st|=diBit;
                di-=diBit;
            }
            St.push_back(st);
            Val|=st;
            aux^=st;
        }
    ret.val=Val;
    ret.ST=St;
    ret.ord=Ord;
    return ret;
}
void solve()
{
    ll k;
    cin>>k;
    if(k==0)
    {
        cout<<0<<'\n';
        return;
    }
    ll poz=k/1000000;
    gcdSet A=gSet(poz);
    while(A.ord<k)
        A.nxt();
    ll mask=A.val;
    vector<int> vals;
    for(int bit=1;bit<=40;bit++)
        if((mask>>bit)&1)
            vals.push_back(bit);
    cout<<vals.size()<<' ';
    for(auto i:vals)
        cout<<i<<' ';
    cout<<'\n';
}
int main()
{
    precalc();
    ll t;
    cin>>t;
    while(t--)
        solve();
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 41 ms 204 KB Output is correct
8 Correct 72 ms 316 KB Output is correct
9 Correct 65 ms 204 KB Output is correct
10 Correct 67 ms 204 KB Output is correct
11 Correct 31 ms 204 KB Output is correct
12 Correct 56 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 41 ms 204 KB Output is correct
8 Correct 72 ms 316 KB Output is correct
9 Correct 65 ms 204 KB Output is correct
10 Correct 67 ms 204 KB Output is correct
11 Correct 31 ms 204 KB Output is correct
12 Correct 56 ms 204 KB Output is correct
13 Correct 38 ms 204 KB Output is correct
14 Correct 37 ms 204 KB Output is correct
15 Correct 55 ms 320 KB Output is correct
16 Correct 39 ms 204 KB Output is correct
17 Correct 50 ms 204 KB Output is correct
18 Correct 54 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 41 ms 204 KB Output is correct
8 Correct 72 ms 316 KB Output is correct
9 Correct 65 ms 204 KB Output is correct
10 Correct 67 ms 204 KB Output is correct
11 Correct 31 ms 204 KB Output is correct
12 Correct 56 ms 204 KB Output is correct
13 Correct 38 ms 204 KB Output is correct
14 Correct 37 ms 204 KB Output is correct
15 Correct 55 ms 320 KB Output is correct
16 Correct 39 ms 204 KB Output is correct
17 Correct 50 ms 204 KB Output is correct
18 Correct 54 ms 204 KB Output is correct
19 Correct 55 ms 204 KB Output is correct
20 Correct 49 ms 320 KB Output is correct
21 Correct 38 ms 204 KB Output is correct
22 Correct 32 ms 324 KB Output is correct
23 Correct 41 ms 204 KB Output is correct
24 Correct 28 ms 320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 41 ms 204 KB Output is correct
8 Correct 72 ms 316 KB Output is correct
9 Correct 65 ms 204 KB Output is correct
10 Correct 67 ms 204 KB Output is correct
11 Correct 31 ms 204 KB Output is correct
12 Correct 56 ms 204 KB Output is correct
13 Correct 38 ms 204 KB Output is correct
14 Correct 37 ms 204 KB Output is correct
15 Correct 55 ms 320 KB Output is correct
16 Correct 39 ms 204 KB Output is correct
17 Correct 50 ms 204 KB Output is correct
18 Correct 54 ms 204 KB Output is correct
19 Correct 55 ms 204 KB Output is correct
20 Correct 49 ms 320 KB Output is correct
21 Correct 38 ms 204 KB Output is correct
22 Correct 32 ms 324 KB Output is correct
23 Correct 41 ms 204 KB Output is correct
24 Correct 28 ms 320 KB Output is correct
25 Correct 44 ms 204 KB Output is correct
26 Correct 31 ms 204 KB Output is correct
27 Correct 33 ms 316 KB Output is correct
28 Correct 46 ms 204 KB Output is correct
29 Correct 33 ms 204 KB Output is correct
30 Correct 65 ms 368 KB Output is correct