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Cod sursa(job #273076)
# include <stdio.h>
# include <math.h>
# define MAXP 5000
# define MAXL 1600
# define BAZA 100000
# define NRCFB 5
typedef struct {long int len;long int nr[MAXL+1];} NUMAR;
long int ciur[MAXP+1],ciurlen,p,q;
long int fact[MAXP+1],factlen,rep[MAXP+1];
NUMAR solp[MAXP+1];
NUMAR sol;
long int min(long int a, long int b) {if (a>b) return b; return a;}
long int max(long int a, long int b) {if (a>b) return a; return b;}
void scrie(NUMAR &a, FILE *g);
/////
// NUMAR HANDLERS
/////
void make_0(NUMAR &a) {a.len=1;a.nr[1]=0;}
void make_1(NUMAR &a) {a.len=1;a.nr[1]=1;}
void normalizeaza(NUMAR &a)
{
a.nr[a.len+1]=0;
long int i;
for (i=1;i<=a.len;i++)
if (a.nr[i]>=BAZA)
{
a.nr[i+1]+=a.nr[i]/BAZA;
a.nr[i]%=BAZA;
}
while (a.nr[a.len+1])
{
a.len++;
a.nr[a.len+1]=a.nr[a.len]/BAZA;
a.nr[a.len]%=BAZA;
}
}
void inmulteste_scalar(NUMAR &a, long int p)
{
long int i;
for (i=1;i<=a.len;i++) a.nr[i]*=p;
normalizeaza(a);
}
void aduna_scalar(NUMAR &a, long int p)
{
a.nr[1]+=p;
normalizeaza(a);
}
void aduna(NUMAR &a, NUMAR &b)
{
long int i,l=min(a.len,b.len);
for (i=1;i<=l;i++) a.nr[i]+=b.nr[i];
for (i=l+1;i<=b.len;i++) a.nr[i]=b.nr[i];
a.len=max(a.len,b.len);
normalizeaza(a);
}
long int mai_mare(NUMAR &a, NUMAR &b)
{
//scrie(a,stdout);
//scrie(b,stdout);
if (a.len>b.len) return 1;
if (a.len<b.len) return 0;
long int i=a.len;
while (i)
{
if (a.nr[i]>b.nr[i]) return 1;
if (a.nr[i]<b.nr[i]) return 0;
i--;
}
return 0;
}
void putere(NUMAR &a, long int baza, long int p)
{
long int i;
for (i=1;i<=p;i++)
{
inmulteste_scalar(a,baza);
normalizeaza(a);
}
}
//////
// INPUT & OUTPUT
//////
void citire()
{
FILE *f=fopen("gfact.in","r");
fscanf(f,"%ld%ld",&p,&q);
fclose(f);
}
long int prim(long int a)
{
long int i;
for (i=1;i<=ciurlen&&ciur[i]*ciur[i]<=a;i++)
if (a%ciur[i]==0) return 0;
return 1;
}
void make_ciur()
{
long int i,upper_bound=(long int)sqrt(p)+1;
ciur[1]=2;
ciurlen=1;
for (i=3;i<=upper_bound;i++)
if (prim(i)) ciur[++ciurlen]=i;
}
void factorizeaza_p()
{
long int i;
for (i=1;p!=1;i++)
{
if (p%ciur[i]==0)
{
fact[++factlen]=ciur[i];
rep[factlen]=0;
while (p%ciur[i]==0)
{
p/=ciur[i];
rep[factlen]++;
}
}
if (p!=1&&ciur[i]*ciur[i]>p)
{
fact[++factlen]=p;
rep[factlen]=1;
break;
}
}
}
void inmulteste_rep_q()
{
long int i;
for (i=1;i<=factlen;i++) rep[i]*=q;
}
long int det_max(long int &rep, long int baza)
{
long int sol=1,p=1;
while (p*baza+1<=rep)
{
p=p*baza+1;
sol++;
}
rep-=p;
return sol;
}
void calculeaza()
{
long int i,max;NUMAR aux;
for (i=1;i<=factlen;i++) //pt fiecare factor prim
{
make_0(solp[i]);
while (rep[i])
{
//determinam puterea maxima a lui p in rep
max=det_max(rep[i],fact[i]);
make_1(aux);
putere(aux,fact[i],max);
aduna(solp[i],aux);
}
}
}
long int ncf(long int a)
{
if (a==0) return 1;
long int sol=0;
while (a) {sol++;a/=10;}
return sol;
}
void scrie(NUMAR &a, FILE *g)
{
long int i,nr0;
fprintf(g,"%ld",a.nr[a.len]);
i=a.len-1;
while (i)
{
nr0=NRCFB-ncf(a.nr[i]);
while (nr0--) fprintf(g,"0");
fprintf(g,"%ld",a.nr[i]);
}
fprintf(g,"\n");
}
void scrie_fisier(NUMAR &a)
{
FILE *g=fopen("gfact.out","w");
scrie(a,g);
fclose(g);
}
void get_solution()
{
sol=solp[1];
long int i;
//for (i=1;i<=factlen;i++) scrie(solp[i],stdout);
for (i=2;i<=factlen;i++)
if (mai_mare(solp[i],sol))
{
sol=solp[i];
}
}
int main()
{
citire();
make_ciur();
factorizeaza_p();
inmulteste_rep_q();
calculeaza();
get_solution();
scrie_fisier(sol);
return 0;
}