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58 lines
1.4 KiB
Rust
Executable File
58 lines
1.4 KiB
Rust
Executable File
/// Prints all happy primes between 1 and 20.
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fn main() {
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for i in 1..21 {
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if is_happy_prime(i) {
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println!("{} is a happy prime!", i);
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}
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}
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}
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/// Determines whether the given number is a happy number AND a prime number.
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fn is_happy_prime(n: u64) -> bool {
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is_happy(n) && is_prime(n)
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}
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/// Determines whether the given, positive number is a [happy number][1].
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///
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/// [1]: https://en.wikipedia.org/wiki/Happy_number
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fn is_happy(mut number: u64) -> bool {
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// Either we end as "1" or in a cycle
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while number > 1 {
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number = {
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// Here we compute the sum of squares of all digits. The trick is that
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// the last digit is `number % 10` and that we can remove the last
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// digit by dividing number by 10.
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let mut sum = 0;
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while number > 0 {
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let digit = number % 10;
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sum += digit * digit;
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number /= 10;
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}
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sum
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};
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// We ended up in a cycle -> not happy
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if number == 4 {
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return false;
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}
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}
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true
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}
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/// Determines whether the given, positive, non-zero number is a prime number.
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fn is_prime(n: u64) -> bool {
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if n == 1 {
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return false;
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}
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for divisor in 2..n {
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if n % divisor == 0 {
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return false;
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}
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}
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true
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}
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