diff --git a/readme.md b/readme.md index d154587..cebeaa4 100644 --- a/readme.md +++ b/readme.md @@ -11,7 +11,7 @@ I originally started the challenge in [the-honk](https://github.com/newtykins/th ## Challenge Completion -### 21 out of 100 public challenges completed. +### 22 out of 100 public challenges completed. - [x] 1 - [Multiples of 3 or 5](src/bin/1.rs) - [x] 2 - [Even Fibonacci numbers](src/bin/2.rs) @@ -30,7 +30,7 @@ I originally started the challenge in [the-honk](https://github.com/newtykins/th - [x] 15 - [Lattice paths](src/bin/15.rs) - [x] 16 - [Power digit sum](src/bin/16.rs) - [x] 17 - [Number letter counts](src/bin/17.rs) -- [ ] 18 - Maximum path sum I +- [x] 18 - [Maximum path sum I](src/bin/18.rs) - [ ] 19 - Counting Sundays - [ ] 20 - Factorial digit sum - [ ] 21 - Amicable numbers diff --git a/src/bin/17.rs b/src/bin/17.rs index b842a02..ecf22cb 100644 --- a/src/bin/17.rs +++ b/src/bin/17.rs @@ -6,9 +6,8 @@ If all the numbers from 1 to 1000 (one thousand) inclusive were written out in w NOTE: Do not count spaces or hyphens. For example, 342 (three hundred and forty-two) contains 23 letters and 115 (one hundred and fifteen) contains 20 letters. The use of "and" when writing out numbers is in compliance with British usage. */ -use std::ops::Div; - use phf::phf_map; +use std::ops::Div; const TRANSLATIONS: phf::Map = phf_map! { 0u16 => "", @@ -58,7 +57,10 @@ fn number_to_words(number: usize) -> String { n -= hundreds * 100; if hundreds > 0 { - out = format!("{out}{}hundred", TRANSLATIONS.get(&(hundreds as u16)).unwrap()); + out = format!( + "{out}{}hundred", + TRANSLATIONS.get(&(hundreds as u16)).unwrap() + ); } // Tens @@ -67,11 +69,11 @@ fn number_to_words(number: usize) -> String { if tens > 0 { let translation: &str; - let and = if hundreds > 0 {"and"} else {""}; + let and = if hundreds > 0 { "and" } else { "" }; if n % 10 > 0 && tens == 1 { translation = TRANSLATIONS.get(&((10 + (n % 10)) as u16)).unwrap(); - + n -= n % 10; } else { translation = TRANSLATIONS.get(&(tens as u16 * 10)).unwrap(); @@ -82,7 +84,7 @@ fn number_to_words(number: usize) -> String { // Remainder if n > 0 { - let and = if hundreds > 0 && tens <= 0 {"and"} else {""}; + let and = if hundreds > 0 && tens <= 0 { "and" } else { "" }; out = format!("{out}{and}{}", TRANSLATIONS.get(&(n as u16)).unwrap()); } @@ -104,5 +106,8 @@ fn letter_count(upper_bound: usize) -> usize { fn main() { let sum = letter_count(1000); - println!("{} letters would be used to write out all of the numbers from 1 to 1000!", sum); + println!( + "{} letters would be used to write out all of the numbers from 1 to 1000!", + sum + ); } diff --git a/src/bin/18.rs b/src/bin/18.rs new file mode 100644 index 0000000..68c31d4 --- /dev/null +++ b/src/bin/18.rs @@ -0,0 +1,62 @@ +/* +Problem 18 - Maximum path sum I + +By starting at the top of the triangle below and moving to adjacent numbers on the row below, the maximum total from top to bottom is 23. +3 7 4 +2 4 6 +8 5 9 3 +That is, 3 + 7 + 4 + 9 = 23. +Find the maximum total from top to bottom of the triangle below: +75 +95 64 +17 47 82 +18 35 87 10 +20 04 82 47 65 +19 01 23 75 03 34 +88 02 77 73 07 63 67 +99 65 04 28 06 16 70 92 +41 41 26 56 83 40 80 70 33 +41 48 72 33 47 32 37 16 94 29 +53 71 44 65 25 43 91 52 97 51 14 +70 11 33 28 77 73 17 78 39 68 17 57 +91 71 52 38 17 14 91 43 58 50 27 29 48 +63 66 04 68 89 53 67 30 73 16 69 87 40 31 +04 62 98 27 23 09 70 98 73 93 38 53 60 04 23 +NOTE: As there are only 16384 routes, it is possible to solve this problem by trying every route. However, Problem 67 , is the same challenge with a triangle containing one-hundred rows; it cannot be solved by brute force, and requires a clever method! ;o) +*/ + +fn maximum_path_sum(triangle: Vec>) -> usize { + let mut tri = triangle.clone(); + + for row in (0..(triangle.len() - 1)).rev() { + for col in 0..(row + 1) { + tri[row][col] = tri[row][col] + std::cmp::max(tri[row + 1][col], tri[row + 1][col + 1]); + } + } + + return tri[0][0]; +} + +fn main() { + let triangle: Vec> = vec![ + vec![75], + vec![95, 64], + vec![17, 47, 82], + vec![18, 35, 87, 10], + vec![20, 4, 82, 47, 65], + vec![19, 1, 23, 75, 3, 34], + vec![88, 2, 77, 73, 7, 63, 67], + vec![99, 65, 4, 28, 6, 16, 70, 92], + vec![41, 41, 26, 56, 83, 40, 80, 70, 33], + vec![41, 48, 72, 33, 47, 32, 37, 16, 94, 29], + vec![53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14], + vec![70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57], + vec![91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48], + vec![63, 66, 4, 68, 89, 53, 67, 30, 73, 16, 69, 87, 40, 31], + vec![4, 62, 98, 27, 23, 9, 70, 98, 73, 93, 38, 53, 60, 4, 23], + ]; + + let sum = maximum_path_sum(triangle); + + println!("The maximum path sum of the triangle is {}!", sum); +}