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{ | ||
"blurb": "<todo>", | ||
"authors": [ | ||
"misicnenad" | ||
], | ||
"contributors": [] | ||
} |
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# Enums |
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# Introduction |
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[] |
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{ | ||
"blurb": "<todo>", | ||
"authors": [ | ||
"misicnenad" | ||
], | ||
"contributors": [] | ||
} |
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# Match Basics |
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# Introduction |
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[] |
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14
exercises/practice/armstrong-numbers/.docs/instructions.md
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# Instructions | ||
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An [Armstrong number][armstrong-number] is a number that is the sum of its own digits each raised to the power of the number of digits. | ||
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For example: | ||
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- 9 is an Armstrong number, because `9 = 9^1 = 9` | ||
- 10 is _not_ an Armstrong number, because `10 != 1^2 + 0^2 = 1` | ||
- 153 is an Armstrong number, because: `153 = 1^3 + 5^3 + 3^3 = 1 + 125 + 27 = 153` | ||
- 154 is _not_ an Armstrong number, because: `154 != 1^3 + 5^3 + 4^3 = 1 + 125 + 64 = 190` | ||
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Write some code to determine whether a number is an Armstrong number. | ||
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[armstrong-number]: https://en.wikipedia.org/wiki/Narcissistic_number |
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{ | ||
"authors": [ | ||
"misicnenad" | ||
], | ||
"files": { | ||
"solution": [ | ||
"src/lib.cairo", | ||
"Scarb.toml" | ||
], | ||
"test": [ | ||
"src/tests.cairo" | ||
], | ||
"example": [ | ||
".meta/example.cairo" | ||
] | ||
}, | ||
"blurb": "Determine if a number is an Armstrong number.", | ||
"source": "Wikipedia", | ||
"source_url": "https://en.wikipedia.org/wiki/Narcissistic_number" | ||
} |
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use core::integer::{u32_overflowing_add}; | ||
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fn is_armstrong_number(num: u32) -> bool { | ||
let s = format!("{}", num); | ||
let l = s.len(); | ||
let mut result: Option<u32> = Option::Some(0); | ||
let mut i = l; | ||
while i != 0 { | ||
if let Option::None = result { | ||
break; | ||
} | ||
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i -= 1; | ||
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// ByteArray.at returns the ASCII representation of the character, | ||
// so we need to subtract the position of the decimal '0' in ASCII | ||
// (ASCII 48 == 0) | ||
let digit: u8 = s.at(i).into().unwrap() - 48; | ||
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result = match u32_overflowing_add(result.unwrap(), pow(digit, l)) { | ||
Result::Ok(val) => Option::Some(val), | ||
Result::Err(_) => Option::None, | ||
}; | ||
}; | ||
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result == Option::Some(num) | ||
} | ||
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fn pow(base: u8, exponent: u32) -> u32 { | ||
let mut result: u32 = 1; | ||
let mut i = exponent; | ||
while i != 0 { | ||
result *= base.into(); // cast u8 into u32 | ||
i -= 1; | ||
}; | ||
result | ||
} | ||
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#[cfg(test)] | ||
mod tests; |
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# This is an auto-generated file. | ||
# | ||
# Regenerating this file via `configlet sync` will: | ||
# - Recreate every `description` key/value pair | ||
# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications | ||
# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion) | ||
# - Preserve any other key/value pair | ||
# | ||
# As user-added comments (using the # character) will be removed when this file | ||
# is regenerated, comments can be added via a `comment` key. | ||
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[c1ed103c-258d-45b2-be73-d8c6d9580c7b] | ||
description = "Zero is an Armstrong number" | ||
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[579e8f03-9659-4b85-a1a2-d64350f6b17a] | ||
description = "Single-digit numbers are Armstrong numbers" | ||
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[2d6db9dc-5bf8-4976-a90b-b2c2b9feba60] | ||
description = "There are no two-digit Armstrong numbers" | ||
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[509c087f-e327-4113-a7d2-26a4e9d18283] | ||
description = "Three-digit number that is an Armstrong number" | ||
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[7154547d-c2ce-468d-b214-4cb953b870cf] | ||
description = "Three-digit number that is not an Armstrong number" | ||
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[6bac5b7b-42e9-4ecb-a8b0-4832229aa103] | ||
description = "Four-digit number that is an Armstrong number" | ||
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[eed4b331-af80-45b5-a80b-19c9ea444b2e] | ||
description = "Four-digit number that is not an Armstrong number" | ||
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[f971ced7-8d68-4758-aea1-d4194900b864] | ||
description = "Seven-digit number that is an Armstrong number" | ||
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[7ee45d52-5d35-4fbd-b6f1-5c8cd8a67f18] | ||
description = "Seven-digit number that is not an Armstrong number" | ||
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[5ee2fdf8-334e-4a46-bb8d-e5c19c02c148] | ||
description = "Armstrong number containing seven zeroes" | ||
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[12ffbf10-307a-434e-b4ad-c925680e1dd4] | ||
description = "The largest and last Armstrong number" |
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[package] | ||
name = "armstrong_numbers" | ||
version = "0.1.0" | ||
edition = "2023_11" |
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fn is_armstrong_number(num: u32) -> bool { | ||
panic!("true if {num} is an armstrong number") | ||
} | ||
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#[cfg(test)] | ||
mod tests; |
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use armstrong_numbers::is_armstrong_number; | ||
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#[test] | ||
fn zero_is_an_armstrong_number() { | ||
assert!(is_armstrong_number(0)) | ||
} | ||
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#[test] | ||
fn single_digit_numbers_are_armstrong_numbers() { | ||
assert!(is_armstrong_number(5)) | ||
} | ||
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#[test] | ||
fn there_are_no_2_digit_armstrong_numbers() { | ||
assert!(!is_armstrong_number(10)) | ||
} | ||
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#[test] | ||
fn three_digit_armstrong_number() { | ||
assert!(is_armstrong_number(153)) | ||
} | ||
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#[test] | ||
fn three_digit_non_armstrong_number() { | ||
assert!(!is_armstrong_number(100)) | ||
} | ||
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#[test] | ||
fn four_digit_armstrong_number() { | ||
assert!(is_armstrong_number(9474)) | ||
} | ||
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#[test] | ||
fn four_digit_non_armstrong_number() { | ||
assert!(!is_armstrong_number(9475)) | ||
} | ||
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#[test] | ||
fn seven_digit_armstrong_number() { | ||
assert!(is_armstrong_number(9_926_315)) | ||
} | ||
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#[test] | ||
fn seven_digit_non_armstrong_number() { | ||
assert!(!is_armstrong_number(9_926_316)) | ||
} | ||
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#[test] | ||
fn nine_digit_armstrong_number() { | ||
assert!(is_armstrong_number(912_985_153)); | ||
} | ||
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#[test] | ||
fn nine_digit_non_armstrong_number() { | ||
assert!(!is_armstrong_number(999_999_999)); | ||
} | ||
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#[test] | ||
fn ten_digit_non_armstrong_number() { | ||
assert!(!is_armstrong_number(3_999_999_999)); | ||
} | ||
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// The following number has an Armstrong sum equal to 2^32 plus itself, | ||
// and therefore will be detected as an Armstrong number if you are | ||
// incorrectly using wrapping arithmetic. | ||
#[test] | ||
fn properly_handles_overflow() { | ||
assert!(!is_armstrong_number(4_106_098_957)); | ||
} |