What is an Adam Number?
If the square of a number and the reverse of square of the same number are palindrome to each other, then the number is Adam number.
12^2 = 144
21^2 = 441
144 is the palindrome of 441
441 is the palindrome of 441
So, 12 is an Adam number.
If the square of a number and the reverse of square of the same number are palindrome to each other, then the number is Adam number.
12^2 = 144
21^2 = 441
144 is the palindrome of 441
441 is the palindrome of 441
So, 12 is an Adam number.
Write a C program to generate Adam Numbers.
/* find reverse of the given number */
int reverse (int num) {
int rev = 0, mod;
while (num > 0) {
mod = num % 10;
rev = (rev * 10) + mod;
num = num / 10;
}
return rev;
}
int main() {
int n, i, num, rev, num_sq, rev_sq;
printf("Result:\n");
/* checking whether the input number is adam or not */
for (i = 0; i < 1000; i++) {
num = i;
rev = reverse(num);
num_sq = num * num;
rev_sq = rev * rev;
/* print adam numbers alone */
if (num_sq == reverse(rev_sq)) {
printf("\n%03d is an Adam number\n", num);
printf("square of %d is %d\n", num, num_sq);
printf("square of %d is %d\n", rev, rev_sq);
}
}
return 0;
}
Output:
jp@jp-VirtualBox:~/$ ./a.out
Result:
000 is an Adam number
square of 0 is 0
square of 0 is 0
001 is an Adam number
square of 1 is 1
square of 1 is 1
002 is an Adam number
square of 2 is 4
square of 2 is 4
003 is an Adam number
square of 3 is 9
square of 3 is 9
011 is an Adam number
square of 11 is 121
square of 11 is 121
012 is an Adam number
square of 12 is 144
square of 21 is 441
013 is an Adam number
square of 13 is 169
square of 31 is 961
021 is an Adam number
square of 21 is 441
square of 12 is 144
022 is an Adam number
square of 22 is 484
square of 22 is 484
031 is an Adam number
square of 31 is 961
square of 13 is 169
101 is an Adam number
square of 101 is 10201
square of 101 is 10201
102 is an Adam number
square of 102 is 10404
square of 201 is 40401
103 is an Adam number
square of 103 is 10609
square of 301 is 90601
111 is an Adam number
square of 111 is 12321
square of 111 is 12321
112 is an Adam number
square of 112 is 12544
square of 211 is 44521
113 is an Adam number
square of 113 is 12769
square of 311 is 96721
121 is an Adam number
square of 121 is 14641
square of 121 is 14641
122 is an Adam number
square of 122 is 14884
square of 221 is 48841
201 is an Adam number
square of 201 is 40401
square of 102 is 10404
202 is an Adam number
square of 202 is 40804
square of 202 is 40804
211 is an Adam number
square of 211 is 44521
square of 112 is 12544
212 is an Adam number
square of 212 is 44944
square of 212 is 44944
221 is an Adam number
square of 221 is 48841
square of 122 is 14884
301 is an Adam number
square of 301 is 90601
square of 103 is 10609
311 is an Adam number
square of 311 is 96721
square of 113 is 12769
Result:
000 is an Adam number
square of 0 is 0
square of 0 is 0
001 is an Adam number
square of 1 is 1
square of 1 is 1
002 is an Adam number
square of 2 is 4
square of 2 is 4
003 is an Adam number
square of 3 is 9
square of 3 is 9
011 is an Adam number
square of 11 is 121
square of 11 is 121
012 is an Adam number
square of 12 is 144
square of 21 is 441
013 is an Adam number
square of 13 is 169
square of 31 is 961
021 is an Adam number
square of 21 is 441
square of 12 is 144
022 is an Adam number
square of 22 is 484
square of 22 is 484
031 is an Adam number
square of 31 is 961
square of 13 is 169
101 is an Adam number
square of 101 is 10201
square of 101 is 10201
102 is an Adam number
square of 102 is 10404
square of 201 is 40401
103 is an Adam number
square of 103 is 10609
square of 301 is 90601
111 is an Adam number
square of 111 is 12321
square of 111 is 12321
112 is an Adam number
square of 112 is 12544
square of 211 is 44521
113 is an Adam number
square of 113 is 12769
square of 311 is 96721
121 is an Adam number
square of 121 is 14641
square of 121 is 14641
122 is an Adam number
square of 122 is 14884
square of 221 is 48841
201 is an Adam number
square of 201 is 40401
square of 102 is 10404
202 is an Adam number
square of 202 is 40804
square of 202 is 40804
211 is an Adam number
square of 211 is 44521
square of 112 is 12544
212 is an Adam number
square of 212 is 44944
square of 212 is 44944
221 is an Adam number
square of 221 is 48841
square of 122 is 14884
301 is an Adam number
square of 301 is 90601
square of 103 is 10609
311 is an Adam number
square of 311 is 96721
square of 113 is 12769
Very useful to us . thank u 😊
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