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# Instructions | ||
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Calculate the number of grains of wheat on a chessboard given that the number on each square doubles. | ||
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There once was a wise servant who saved the life of a prince. | ||
The king promised to pay whatever the servant could dream up. | ||
Knowing that the king loved chess, the servant told the king he would like to have grains of wheat. | ||
One grain on the first square of a chess board, with the number of grains doubling on each successive square. | ||
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There are 64 squares on a chessboard (where square 1 has one grain, square 2 has two grains, and so on). | ||
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Write code that shows: | ||
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- how many grains were on a given square, and | ||
- the total number of grains on the chessboard |
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{ | ||
"authors": [ | ||
"BNAndras" | ||
], | ||
"files": { | ||
"solution": [ | ||
"grains.vim" | ||
], | ||
"test": [ | ||
"grains.vader" | ||
], | ||
"example": [ | ||
".meta/example.vim" | ||
] | ||
}, | ||
"blurb": "Calculate the number of grains of wheat on a chessboard given that the number on each square doubles.", | ||
"source": "The CodeRanch Cattle Drive, Assignment 6", | ||
"source_url": "https://coderanch.com/wiki/718824/Grains" | ||
} |
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function! Square(number) abort | ||
if a:number < 1 || a:number > 64 | ||
throw 'square must be between 1 and 64' | ||
endif | ||
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return float2nr(pow(2, (a:number-1))) | ||
endfunction | ||
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function! Total() abort | ||
return float2nr(pow(2, 64) - 1) | ||
endfunction |
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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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[9fbde8de-36b2-49de-baf2-cd42d6f28405] | ||
description = "returns the number of grains on the square -> grains on square 1" | ||
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[ee1f30c2-01d8-4298-b25d-c677331b5e6d] | ||
description = "returns the number of grains on the square -> grains on square 2" | ||
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[10f45584-2fc3-4875-8ec6-666065d1163b] | ||
description = "returns the number of grains on the square -> grains on square 3" | ||
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[a7cbe01b-36f4-4601-b053-c5f6ae055170] | ||
description = "returns the number of grains on the square -> grains on square 4" | ||
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[c50acc89-8535-44e4-918f-b848ad2817d4] | ||
description = "returns the number of grains on the square -> grains on square 16" | ||
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[acd81b46-c2ad-4951-b848-80d15ed5a04f] | ||
description = "returns the number of grains on the square -> grains on square 32" | ||
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[c73b470a-5efb-4d53-9ac6-c5f6487f227b] | ||
description = "returns the number of grains on the square -> grains on square 64" | ||
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[1d47d832-3e85-4974-9466-5bd35af484e3] | ||
description = "returns the number of grains on the square -> square 0 is invalid" | ||
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[61974483-eeb2-465e-be54-ca5dde366453] | ||
description = "returns the number of grains on the square -> negative square is invalid" | ||
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[a95e4374-f32c-45a7-a10d-ffec475c012f] | ||
description = "returns the number of grains on the square -> square greater than 64 is invalid" | ||
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[6eb07385-3659-4b45-a6be-9dc474222750] | ||
description = "returns the total number of grains on the board" |
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Execute (grains on square 1): | ||
let g:square = 1 | ||
let g:expected = 1 | ||
AssertEqual g:expected, Square(g:square) | ||
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Execute (grains on square 2): | ||
let g:square = 2 | ||
let g:expected = 2 | ||
AssertEqual g:expected, Square(g:square) | ||
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Execute (grains on square 3): | ||
let g:square = 3 | ||
let g:expected = 4 | ||
AssertEqual g:expected, Square(g:square) | ||
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Execute (grains on square 4): | ||
let g:square = 4 | ||
let g:expected = 8 | ||
AssertEqual g:expected, Square(g:square) | ||
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Execute (grains on square 16): | ||
let g:square = 16 | ||
let g:expected = 32768 | ||
AssertEqual g:expected, Square(g:square) | ||
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Execute (grains on square 32): | ||
let g:square = 32 | ||
let g:expected = 2147483648 | ||
AssertEqual g:expected, Square(g:square) | ||
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Execute (grains on square 64): | ||
let g:square = 64 | ||
let g:expected = 9223372036854775807 | ||
AssertEqual g:expected, Square(g:square) | ||
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Execute (square 0 is invalid): | ||
let g:square = 0 | ||
let g:expected = "square must be between 1 and 64" | ||
AssertThrows call Square(g:square) | ||
AssertEqual g:expected, g:vader_exception | ||
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Execute (negative square is invalid): | ||
let g:square = -1 | ||
let g:expected = "square must be between 1 and 64" | ||
AssertThrows call Square(g:square) | ||
AssertEqual g:expected, g:vader_exception | ||
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Execute (square greater than 64 is invalid): | ||
let g:square = 65 | ||
let g:expected = "square must be between 1 and 64" | ||
AssertThrows call Square(g:square) | ||
AssertEqual g:expected, g:vader_exception | ||
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Execute (returns the total number of grains on the board): | ||
let g:expected = 9223372036854775807 | ||
AssertEqual g:expected, Total() |
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" | ||
" Returns the number of grains on a chessboard square given the grains on each square | ||
" double from the previous square. | ||
" Throws an error if the square is below 1 or above 64. | ||
" | ||
" Examples: | ||
" | ||
" :echo Square(16) | ||
" 32768 | ||
" | ||
" :echo Square(-1) | ||
" E605: Exception not caught: square must be between 1 and 64 | ||
" | ||
function! Square(number) abort | ||
" your code goes here | ||
endfunction | ||
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" | ||
" Returns the total number of grains for a filled chessboard | ||
" | ||
function! Total(number) abort | ||
" your code goes here | ||
endfunction |