Cod sursa(job #2739023)

Utilizator alessiamtr12Mitrica Alessia alessiamtr12 Data 6 aprilie 2021 18:12:14
Problema Descompuneri Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.42 kb
#include <fstream>
#include<unordered_map>
#include<algorithm>
using namespace std;
ifstream fin("desc.in");
ofstream fout("desc.out");
long long n,divv[5000];
int k,dp[5000][5000],nr,i;
unordered_map<long long,int>h;
int main()
{
    fin>>n>>k;

    for(i=1;1ll*i*i<n;i++)
    {
        if(n%i==0)
        {
            divv[++nr]=i;
            divv[++nr]=n/i;
        }
    }
    if(1ll*i*i==n)
        divv[++nr]=i;
    sort(divv+1,divv+nr+1);
    for(int i=1;i<=nr;i++)
    {
        h[divv[i]]=i;
        dp[1][i]=1;
    }
    for(int i=2;i<=nr;i++)
    {
        dp[i][i]=1;
        for(int j=i-1;j>=2;j--)
        {
            dp[i][j]=dp[i][j+1];
            if(divv[i]%divv[j]==0)
            {
                long long c=divv[i]/divv[j];
                dp[i][j]+=dp[h[c]][j];
            }
        }
        dp[i][1]=dp[i][2];
    }
    fout<<dp[nr][1]<<"\n";
    int i=2;
    while(n>1)
    {
        while(i<=nr)
        {
            if(n%divv[i]==0)
            {
                long long c=n/divv[i];
                if(dp[h[c]][i]>=k)
                {
                    fout<<divv[i]<<" ";
                    n=c;
                    break;
                }
                else
                {
                    k-=dp[h[c]][i];
                    i++;
                }
            }
            else
                i++;
        }
    }
    return 0;
}