Add largest-series-product exercise (#152)

This commit is contained in:
Erik Schierboom
2024-04-27 22:31:12 +02:00
committed by GitHub
parent 5a1fa64e0e
commit 1a3ef537ac
9 changed files with 384 additions and 0 deletions

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"practices": [],
"prerequisites": [],
"difficulty": 4
},
{
"slug": "largest-series-product",
"name": "Largest Series Product",
"uuid": "16a61395-cffb-45ff-85ea-ef78b6f1859f",
"practices": [],
"prerequisites": [],
"difficulty": 4
}
]
},

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# Instructions
Your task is to look for patterns in the long sequence of digits in the encrypted signal.
The technique you're going to use here is called the largest series product.
Let's define a few terms, first.
- **input**: the sequence of digits that you need to analyze
- **series**: a sequence of adjacent digits (those that are next to each other) that is contained within the input
- **span**: how many digits long each series is
- **product**: what you get when you multiply numbers together
Let's work through an example, with the input `"63915"`.
- To form a series, take adjacent digits in the original input.
- If you are working with a span of `3`, there will be three possible series:
- `"639"`
- `"391"`
- `"915"`
- Then we need to calculate the product of each series:
- The product of the series `"639"` is 162 (`6 × 3 × 9 = 162`)
- The product of the series `"391"` is 27 (`3 × 9 × 1 = 27`)
- The product of the series `"915"` is 45 (`9 × 1 × 5 = 45`)
- 162 is bigger than both 27 and 45, so the largest series product of `"63915"` is from the series `"639"`.
So the answer is **162**.

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# Introduction
You work for a government agency that has intercepted a series of encrypted communication signals from a group of bank robbers.
The signals contain a long sequence of digits.
Your team needs to use various digital signal processing techniques to analyze the signals and identify any patterns that may indicate the planning of a heist.

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{
"authors": [
"erikschierboom"
],
"files": {
"solution": [
"largest-series-product.8th"
],
"test": [
"test.8th"
],
"example": [
".meta/example.8th"
]
},
"blurb": "Given a string of digits, calculate the largest product for a contiguous substring of digits of length n.",
"source": "A variation on Problem 8 at Project Euler",
"source_url": "https://projecteuler.net/problem=8"
}

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: digit? \ n -- T
'0 '9 between
;
: digits \ s -- a
( dup digit? if '0 n:- a:push else 2drop null break ;then ) a:new s:reduce
;
: slices \ a n -- a
( ' n:* 1 a:reduce ) rot 1 a:map+
;
: largest \ a -- n
' n:cmp a:sort -1 a:_@
;
: largest-product \ s n -- n
swap digits null? if nip ;then
slices null? if drop 1 ;then
largest
;

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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.
[7c82f8b7-e347-48ee-8a22-f672323324d4]
description = "finds the largest product if span equals length"
[88523f65-21ba-4458-a76a-b4aaf6e4cb5e]
description = "can find the largest product of 2 with numbers in order"
[f1376b48-1157-419d-92c2-1d7e36a70b8a]
description = "can find the largest product of 2"
[46356a67-7e02-489e-8fea-321c2fa7b4a4]
description = "can find the largest product of 3 with numbers in order"
[a2dcb54b-2b8f-4993-92dd-5ce56dece64a]
description = "can find the largest product of 3"
[673210a3-33cd-4708-940b-c482d7a88f9d]
description = "can find the largest product of 5 with numbers in order"
[02acd5a6-3bbf-46df-8282-8b313a80a7c9]
description = "can get the largest product of a big number"
[76dcc407-21e9-424c-a98e-609f269622b5]
description = "reports zero if the only digits are zero"
[6ef0df9f-52d4-4a5d-b210-f6fae5f20e19]
description = "reports zero if all spans include zero"
[5d81aaf7-4f67-4125-bf33-11493cc7eab7]
description = "rejects span longer than string length"
[06bc8b90-0c51-4c54-ac22-3ec3893a079e]
description = "reports 1 for empty string and empty product (0 span)"
[3ec0d92e-f2e2-4090-a380-70afee02f4c0]
description = "reports 1 for nonempty string and empty product (0 span)"
[6d96c691-4374-4404-80ee-2ea8f3613dd4]
description = "rejects empty string and nonzero span"
[7a38f2d6-3c35-45f6-8d6f-12e6e32d4d74]
description = "rejects invalid character in digits"
[5fe3c0e5-a945-49f2-b584-f0814b4dd1ef]
description = "rejects negative span"
include = false
[c859f34a-9bfe-4897-9c2f-6d7f8598e7f0]
description = "rejects negative span"
reimplements = "5fe3c0e5-a945-49f2-b584-f0814b4dd1ef"

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: largest-product \ s n -- n
;

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needs console/loaded
\ -----------------------------------------------------------------
ns: test
-1 var, test-count
var tests-passed
var tests-failed
var tests-skipped
true var, run-test
\ Some utility words
: array-insens-dot \ x -- \\ removes leading space on stringified arrays
dup >kind ns:a n:=
if
>s s:trim
then
.
;
: test-passed \ s x x -- \\ test name, expected value, actual value
2drop
1 tests-passed n:+!
con:green con:onBlack . space " ... OK" . con:white con:onBlack cr
;
: test-skipped \ s --
1 tests-skipped n:+!
con:cyan con:onBlack . space " ... SKIPPED" . con:white con:onBlack cr
;
: test-failed \ s x x -- \\ test name, expected value, actual value
1 tests-failed n:+!
rot
con:red con:onBlack . space " ... FAIL" . con:white con:onBlack cr
" Actual: «" . array-insens-dot "»" . cr
" Expected: «" . array-insens-dot "»" . cr cr
;
: isword? \ x -- x f
dup >kind ns:w n:=
;
: run-test? \ -- T
run-test @ if true else "RUN_ALL_TESTS" getenv n:>bool then
;
\ Num passed + num skipped + num failed should == num tests
: all-tests-run? \ -- T
tests-passed @ tests-skipped @ tests-failed @ n:+ n:+
test-count @ n:=
;
\ returns true if x is a date, false otherwise
: date? \ x -- x T
dup >kind ns:d n:=
;
\ adapted from 8th forum -- https://8th-dev.com/forum/index.php/topic,2745.0.html
: eq? \ x x -- T
\ are the items the same kind?
2dup >kind swap >kind n:=
!if 2drop false ;then
\ same kind: try different comparators
number? if n:= ;then
string? if s:= ;then
array? if ' eq? a:= 2nip ;then
map? if ' eq? m:= 2nip ;then
date? if d:= ;then
\ otherwise fall back to 'lazy evaluation'
l: =
;
: check-depth \ ... n -- ...
dup>r
n:1+ depth n:=
!if
con:red con:onBlack
"PANIC: expected stack depth to be " . r> . cr
"Stack is:" . cr
.s cr
255 die
then
rdrop
;
\ -----------------------------------------------------------------
\ status report at end of run
( all-tests-run?
!if con:red con:onBlack "... FAIL - not all tests completed" . con:white con:onBlack cr then
) onexit
\ Print a summary of the tests run
( con:white con:onBlack
test-count @ . space "tests planned - " .
tests-passed @ . space "passed - " .
tests-skipped @ . space "skipped - " .
tests-failed @ . space "failed" . cr
) onexit
\ -----------------------------------------------------------------
\ The public-facing words
\ -----------------------------------------------------------------
: equal? \ s x w -- | s w x --
run-test? !if 2drop test-skipped ;; then
isword? !if swap then
w:exec
3 check-depth
2dup \ so test-failed can show actual and expected
eq? if test-passed else test-failed then
;
: true? \ s w --
run-test? !if drop test-skipped ;; then
w:exec
2 check-depth
true swap dup \ so test-failed can show actual and expected
if test-passed else test-failed then
;
: false? \ s w --
run-test? !if drop test-skipped ;; then
w:exec
2 check-depth
false swap dup \ so test-failed can show actual and expected
!if test-passed else test-failed then
;
: null? \ s w --
run-test? !if drop test-skipped ;; then
w:exec
2 check-depth
null swap dup \ so test-failed can show actual and expected
G:null? nip if test-passed else test-failed then
;
: SKIP-REST-OF-TESTS false run-test ! ;
: tests \ n --
test-count !
;
\ Set the exit status:
\ 0 = all OK
\ 1 = not all tests were run (some error occurred)
\ 2 = some tests failed
: end-of-tests \ --
all-tests-run?
if
tests-failed @ 0 n:= if 0 else 2 then
else
1
then
die
;

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"largest-series-product.8th" f:include
needs exercism/test
with: test
15 tests
"finds the largest product if span equals length"
( "29" 2 largest-product )
18
equal?
SKIP-REST-OF-TESTS
"can find the largest product of 2 with numbers in order"
( "0123456789" 2 largest-product )
72
equal?
"can find the largest product of 2"
( "576802143" 2 largest-product )
48
equal?
"can find the largest product of 3 with numbers in order"
( "0123456789" 3 largest-product )
504
equal?
"can find the largest product of 3"
( "1027839564" 3 largest-product )
270
equal?
"can find the largest product of 5 with numbers in order"
( "0123456789" 5 largest-product )
15120
equal?
"can get the largest product of a big number"
( "73167176531330624919225119674426574742355349194934" 6 largest-product )
23520
equal?
"reports zero if the only digits are zero"
( "0000" 2 largest-product )
0
equal?
"reports zero if all spans include zero"
( "99099" 3 largest-product )
0
equal?
"rejects span longer than string length"
( "123" 4 largest-product )
null?
"reports 1 for empty string and empty product (0 span)"
( "" 0 largest-product )
1
equal?
"reports 1 for nonempty string and empty product (0 span)"
( "123" 0 largest-product )
1
equal?
"rejects empty string and nonzero span"
( "" 1 largest-product )
null?
"rejects invalid character in digits"
( "1234a5" 2 largest-product )
null?
"rejects negative span"
( "12345" -1 largest-product )
null?
end-of-tests
;with