Cod sursa(job #935848)

Utilizator dariusdariusMarian Darius dariusdarius Data 4 aprilie 2013 22:27:13
Problema Mins Scor 80
Compilator cpp Status done
Runda Arhiva de probleme Marime 1.22 kb
#include<stdio.h>
#include<algorithm>
using namespace std;
int  dp[1000005][7];
long long pinex(int x,int y)
{
    ///numarul de numere <=x si prime cu y:
    int ans=x,q,nr;
//generam submultimi cu factorii primi:
    for(int i=1;i<(1<<dp[y][0]);i++)
    {
        nr=0;q=1;
        for(int j=0;j<dp[y][0];j++)
            if(i&(1<<j))
                nr++,q*=dp[y][j+1];
        if(nr&1) ans-=x/q;
        else ans+=x/q;
    }
    return ans;
}
int main()
{
    freopen("mins.in","r",stdin);
    freopen("mins.out","w",stdout);
    int n,m;long long ans=0;
    scanf("%d%d",&m,&n);m--;n--;
    if(m>n) swap(n,m);
//mai intai vedem patratul care se poate rezolva ∑phi(i)
    for(int i=1;i<=m;i+=2) dp[i][0]=i;
    for(int i=2;i<=m;i+=2) dp[i][0]=i/2;
    for(int i=3;i<=m;i+=2)
	if(dp[i][0]==i)
	    for(int j=i;j<=m;j+=i)
		dp[j][0]=dp[j][0]/i*(i-1);
    for(int i=1;i<=m;i++)
	ans=ans+dp[i][0],dp[i][0]=0;
    ans=2*ans-1;
//pregenerari pentru descompunere in factori:
    for(int i=2;i<=n;i+=2) 
	dp[i][++dp[i][0]]=2;
    for(int i=3;i<=n;i+=2)
        if(dp[i][0]==0)
            for(int j=i;j<=n;j=j+i)
                dp[j][++dp[j][0]]=i;
//pinex:
    for(int i=m+1;i<=n;i++)
        ans+=pinex(m,i);

    printf("%lld\n",ans);
    return 0;
}