feat(problem): 8 - largest product in a series

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newt 2024-10-09 18:10:09 +01:00
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src/bin/8.rs Normal file
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/*
Problem 8 - Largest product in a series
The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832.
73167176531330624919225119674426574742355349194934
96983520312774506326239578318016984801869478851843
85861560789112949495459501737958331952853208805511
12540698747158523863050715693290963295227443043557
66896648950445244523161731856403098711121722383113
62229893423380308135336276614282806444486645238749
30358907296290491560440772390713810515859307960866
70172427121883998797908792274921901699720888093776
65727333001053367881220235421809751254540594752243
52584907711670556013604839586446706324415722155397
53697817977846174064955149290862569321978468622482
83972241375657056057490261407972968652414535100474
82166370484403199890008895243450658541227588666881
16427171479924442928230863465674813919123162824586
17866458359124566529476545682848912883142607690042
24219022671055626321111109370544217506941658960408
07198403850962455444362981230987879927244284909188
84580156166097919133875499200524063689912560717606
05886116467109405077541002256983155200055935729725
71636269561882670428252483600823257530420752963450
Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product?
*/
const NUMBER: &str = "7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450";
const ADJACENT_DIGITS: usize = 13;
fn largest_product(number: &str, adjacent_digits: usize) -> usize {
if adjacent_digits > number.len() {
panic!("I can not check for the product of {} adjacent digits when there is only {} digits in the number!", adjacent_digits, number.len());
}
let mut cursor_index = 0;
let mut selections: Vec<Vec<u32>> = vec![];
let characters = number.chars().collect::<Vec<char>>();
while cursor_index < number.len() {
let mut selection: Vec<u32> = vec![];
for i in 0..adjacent_digits {
if cursor_index + i >= number.len() - 1 {
break;
}
selection.push(characters[cursor_index + i].to_digit(10).unwrap());
}
selections.push(selection);
cursor_index += 1;
}
let mut products: Vec<usize> = vec![];
for i in 0..selections.len() {
let mut product: usize = 1;
for value in &selections[i] {
product *= *value as usize;
}
products.push(product);
}
products.sort();
products.reverse();
return products[0];
}
fn main() {
let value = largest_product(NUMBER, ADJACENT_DIGITS);
println!("The thirteen adjacent digits in the number that have the greatest product have a product of {value}");
}