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Cod sursa(job #188812)
/*Se da un numar intreg P. Sa se gaseasca cel mai mic numar natural strict
pozitiv N pentru care N! are exact P cifre de 0 la sfarsit.
Se stie ca N! = 1 * 2 * 3 * .... * (N - 1) * N.
Exemplu : 0 --> 1
2 --> 10
10 --> 45*/
#include<stdio.h>
#include<stdlib.h>
const long int MAX=10000;
long int n;
long int factor(long int m){
long int s=1;
long int i;
if(m==0)
return 1;
if(m==1)
return 1;
else
for(i=1;i<=m;i++)
s*=i;
return s;
}
long int ten(long int m){
long int i=0;
while(m>=5){
if(m%5==0)
i++;
m/=5;
}
return i;
}
int fact(long int a,long int b,long int n){
long int c=(a+b)/2;
if(ten(factor(c))==n)
return c;
else
if(a<b)
if(ten(factor(c))<n)
fact(c+1,b,n);
else
fact(a,c-1,n);
}
int main(){
freopen("fact.in","r",stdin);
freopen("fact.out","w",stdout);
scanf("%ld",&n);
long int a=0;long int b=MAX;
int rez=fact(a,b,n);
if(rez)
printf("%d",rez);
else(printf("%d",-1));
return 0;
}