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p119digit power sum.cpp
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p119digit power sum.cpp
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#include<stdio.h>
#include<math.h>
#define int_64bit unsigned long long
int_64bit digit_sum(int_64bit num)
{
int_64bit answer=0;
while(num!=0)
{
answer+=num%10;
num/=10;
}
return answer;
}
is_equal(int_64bit num)
{
int_64bit sum=digit_sum(num);
int_64bit answer=0;
if(sum!=1)
while(num%sum==0)
{
num/=sum;;
}
if(num==1&&sum!=1) return 1;
else return 0;
return answer;
}
main()
{
int_64bit i,l=0,j;
int_64bit tab[10000];
for(i=1;i<64;i++)// i choose 64 because it's the limit (2^63)
{
for(j=2;j<800;j++)
{
if(ceil(i*log(j)/log(10))>17) break;//the biggest number in C : integer 2^63
else if(ceil(i*log(j)/log(10))==1&&j!=10) continue;//to the numbers below 10
int_64bit num=pow(j,i);
if(is_equal(num))
{
tab[l]=num;
l++;
}
}
}
//delete the repetition
// orgnazing the value from the lowest to the the bigger
for(i=0;i<l;i++)
{
if(tab[i]==0)continue;
for(j=i+1;j<l;j++)
{
if(tab[j]==0)continue;
else if(tab[i]==tab[j])
{
tab[j]=tab[l-1];
tab[l-1]=0;
l--;
}
else if(tab[i]>tab[j])
{
int_64bit num=tab[j];
tab[j]=tab[i];
tab[i]=num;
}
}
}
printf("--->%lld",tab[30-1]);
}