performance optimization in 51
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+37
-26
@@ -1,6 +1,8 @@
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extern crate combination;
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extern crate primes;
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use std::process::exit;
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use combination::PositionCombinations;
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use primes::Primes;
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@@ -23,37 +25,41 @@ const MIN_VALUE: Int = 100_000;
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const MAX_VALUE: Int = 999_999;
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const LENGTH: usize = 6;
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const MIN_LENGTH: usize = 2;
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const TARGET_LENGTH: usize = 8;
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const MAX_LENGTH: usize = LENGTH - 1;
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const DIGITS: [u8; 10] = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9];
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fn main() {
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let all_primes = Primes::get_between(MIN_VALUE, MAX_VALUE);
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let mut best_of_all_combinations = vec![];
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for pattern in PositionCombinations::new(MIN_LENGTH, MAX_LENGTH, LENGTH) {
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let mut best_this_combination = vec![];
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let mut primes_to_check = all_primes.clone();
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while let Some(first) = primes_to_check.pop() {
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let mut primes_matching_pattern = vec![];
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let digits = first.to_digits();
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for digit in DIGITS {
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let could_be_prime = apply_transformation(&digits, digit, &pattern);
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let could_be_prime =
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replace_digits_according_to_pattern_with_digit(&digits, digit, &pattern);
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if primes_to_check.contains(&could_be_prime) || could_be_prime == first {
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primes_matching_pattern.push(could_be_prime);
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}
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}
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if primes_matching_pattern.len() > 2 {
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best_this_combination.push(primes_matching_pattern);
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if primes_matching_pattern.len() == TARGET_LENGTH {
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println!("{primes_matching_pattern:#?}");
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exit(0);
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}
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}
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if !best_this_combination.is_empty() {
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best_of_all_combinations.push(get_longest(best_this_combination));
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}
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}
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println!("{:#?}", get_longest(best_of_all_combinations));
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}
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fn apply_transformation(prime_as_digits: &[u8], new_digit: u8, pattern: &[bool]) -> Int {
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fn replace_digits_according_to_pattern_with_digit(
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prime_as_digits: &[u8],
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new_digit: u8,
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pattern: &[bool],
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) -> Int {
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debug_assert_eq!(prime_as_digits.len(), pattern.len());
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let mut multiplier = 1;
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let result = prime_as_digits
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@@ -73,32 +79,31 @@ fn apply_transformation(prime_as_digits: &[u8], new_digit: u8, pattern: &[bool])
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result
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}
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fn get_longest(mut vec: Vec<Vec<Int>>) -> Vec<Int> {
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assert!(
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!vec.is_empty(),
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"cannot get the longest element of an empty vector"
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);
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vec.sort_by_key(|c| c.len());
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let length = vec.last().unwrap().len();
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vec.into_iter().find(|v| v.len() == length).unwrap()
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}
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trait ToDigits {
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fn to_digits(&self) -> Vec<u8>;
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}
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#[allow(clippy::needless_range_loop)]
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impl ToDigits for Int {
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fn to_digits(&self) -> Vec<u8> {
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self.to_string()
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.chars()
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.map(|x| x.to_digit(10).unwrap() as u8)
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.collect()
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let oom = (*self as f64).log10().floor() as i32;
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let length = oom as usize + 1;
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let mut var = *self;
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let mut result = vec![0; length];
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for i in 0..length as usize {
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let power = 10_f64.powi(oom - i as i32);
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let digit = (var as f64 / power).floor();
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var -= (digit * power) as Int;
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result[i] = digit as u8;
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}
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assert_eq!(var, 0);
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result
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}
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}
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#[cfg(test)]
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mod test {
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use crate::{apply_transformation, ToDigits};
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use crate::{replace_digits_according_to_pattern_with_digit, ToDigits};
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#[test]
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fn test_num_to_digits() {
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@@ -112,8 +117,14 @@ mod test {
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let new_digit = 0;
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let pattern = [false, true, true, true, false, false];
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assert_eq!(
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apply_transformation(&prime_as_digits, new_digit, &pattern),
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replace_digits_according_to_pattern_with_digit(&prime_as_digits, new_digit, &pattern),
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500_021
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);
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}
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#[test]
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fn test_to_digits() {
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let num = 37871_u64;
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assert_eq!(vec![3, 7, 8, 7, 1], num.to_digits());
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}
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}
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