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Cod sursa(job #188821)
/*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 unsigned long long MAX=1000;
long n;
long factor(unsigned long long m){
if (0 == m)
return 1;
else
return (m * factor(m-1));
}
long ten(long m){
long int i=0;
while(m>=5){
if(m%5==0)
i++;
m/=5;
}
return i;
}
int fact(unsigned long long a,unsigned long long b,long n){
unsigned long long 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);
unsigned long long a=0;unsigned long long b=MAX;
int rez=fact(a,b,n);
if(rez)
printf("%d",rez);
else(printf("%d",-1));
return 0;
}