Counting 1 up-to Counting of Number (ASKED IN GOOGLE RECRUITMENT)

// 13 -> 1 2 3 4 5 6 7 8 9 10 11 12 13 -> 6 occurences of 1 -> f(13)=6
// AIM: To find all n such that f(n)=n

#include<stdio.h>
int main()
{
int num,temp=0,i=0,count_of_ones=0;
while(1)
{ ++i;
num=i;
while(num>0)
{
temp=num%10;
if(temp==1)
count_of_ones++;
//printf("%d ",temp);
num=num/10;
}
if(i==count_of_ones)
printf("\ni = %d and count of ones = %d\n",i,count_of_ones);
}
return 0;
}


OUTPUT: (obtained during half-an-hour runtime on i3 processor)
i = 1 and count of ones = 1

i = 199981 and count of ones = 199981

i = 199982 and count of ones = 199982

i = 199983 and count of ones = 199983

i = 199984 and count of ones = 199984

i = 199985 and count of ones = 199985

i = 199986 and count of ones = 199986

i = 199987 and count of ones = 199987

i = 199988 and count of ones = 199988

i = 199989 and count of ones = 199989

i = 199990 and count of ones = 199990

i = 200000 and count of ones = 200000

i = 200001 and count of ones = 200001

i = 1599981 and count of ones = 1599981

i = 1599982 and count of ones = 1599982

i = 1599983 and count of ones = 1599983

i = 1599984 and count of ones = 1599984

i = 1599985 and count of ones = 1599985

i = 1599986 and count of ones = 1599986

i = 1599987 and count of ones = 1599987

i = 1599988 and count of ones = 1599988

i = 1599989 and count of ones = 1599989

i = 1599990 and count of ones = 1599990

i = 2600000 and count of ones = 2600000

i = 2600001 and count of ones = 2600001

i = 13199998 and count of ones = 13199998

i = 35000000 and count of ones = 35000000

i = 35000001 and count of ones = 35000001

i = 35199981 and count of ones = 35199981

i = 35199982 and count of ones = 35199982

i = 35199983 and count of ones = 35199983

i = 35199984 and count of ones = 35199984

i = 35199985 and count of ones = 35199985

i = 35199986 and count of ones = 35199986

i = 35199987 and count of ones = 35199987

i = 35199988 and count of ones = 35199988

i = 35199989 and count of ones = 35199989

i = 35199990 and count of ones = 35199990

i = 35200000 and count of ones = 35200000

i = 35200001 and count of ones = 35200001

i = 117463825 and count of ones = 117463825

i = 500000000 and count of ones = 500000000

i = 500000001 and count of ones = 500000001

i = 500199981 and count of ones = 500199981

i = 500199982 and count of ones = 500199982

i = 500199983 and count of ones = 500199983

i = 500199984 and count of ones = 500199984

i = 500199985 and count of ones = 500199985

i = 500199986 and count of ones = 500199986

i = 500199987 and count of ones = 500199987

i = 500199988 and count of ones = 500199988

i = 500199989 and count of ones = 500199989

i = 500199990 and count of ones = 500199990

i = 500200000 and count of ones = 500200000

i = 500200001 and count of ones = 500200001

i = 501599981 and count of ones = 501599981

i = 501599982 and count of ones = 501599982

i = 501599983 and count of ones = 501599983

i = 501599984 and count of ones = 501599984

i = 501599985 and count of ones = 501599985

i = 501599986 and count of ones = 501599986

i = 501599987 and count of ones = 501599987

i = 501599988 and count of ones = 501599988

i = 501599989 and count of ones = 501599989

i = 501599990 and count of ones = 501599990

i = 502600000 and count of ones = 502600000

i = 502600001 and count of ones = 502600001

i = 513199998 and count of ones = 513199998

i = 535000000 and count of ones = 535000000

i = 535000001 and count of ones = 535000001

i = 535199981 and count of ones = 535199981

i = 535199982 and count of ones = 535199982

i = 535199983 and count of ones = 535199983

i = 535199984 and count of ones = 535199984

i = 535199985 and count of ones = 535199985

i = 535199986 and count of ones = 535199986

i = 535199987 and count of ones = 535199987

i = 535199988 and count of ones = 535199988

i = 535199989 and count of ones = 535199989

i = 535199990 and count of ones = 535199990

i = 535200000 and count of ones = 535200000

i = 535200001 and count of ones = 535200001

i = 1111111110 and count of ones = 1111111110

i = -1323939513 and count of ones = -1323939513

i = -1000790756 and count of ones = -1000790756

i = -677641999 and count of ones = -677641999

i = 1839279971 and count of ones = 1839279971

i = 1839279972 and count of ones = 1839279972

i = 1839279973 and count of ones = 1839279973

i = 1839279974 and count of ones = 1839279974

i = 1839279975 and count of ones = 1839279975

i = 1839279976 and count of ones = 1839279976

i = 1839279977 and count of ones = 1839279977

i = 1839279978 and count of ones = 1839279978

i = 1839279979 and count of ones = 1839279979

i = 1839279980 and count of ones = 1839279980

i = -2001581512 and count of ones = -2001581512

then i stopped (manually halted the execution of infinite loop program : ctrl+Z)