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Pascal's Triangle in Coffeescript
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module.exports = (rows) -> | |
result = [] | |
for n in [0..rows] | |
if n is 0 | |
result[n] = [1] | |
else | |
previous = new Array().concat 0, result[n-1], 0 | |
current = [] | |
for val, idx in previous | |
sum = val + previous[idx+1] | |
current.push sum unless isNaN(sum) | |
result[n] = current | |
result |
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module.exports = (rows, results = null) -> | |
if results is null | |
arguments.callee rows, [[1]] | |
else if results.length > rows | |
results | |
else | |
previous = [].concat 0, results[results.length-1], 0 | |
results.push (previous.map (val, idx) -> | |
val + previous[idx+1] | |
).filter (val, idx) -> !isNaN(val) | |
arguments.callee rows, results |
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pascal = require './pascal' | |
describe 'Pascal', -> | |
it 'should return 1 for 0', -> | |
result = pascal 0 | |
expect(result.length).toBe 1 | |
expect(result[0]).toEqual [1] | |
it 'should return correctly for 1', -> | |
result = pascal 1 | |
expect(result.length).toBe 2 | |
expect(result[1]).toEqual [1,1] | |
it 'should return correctly for 2', -> | |
result = pascal 2 | |
expect(result.length).toBe 3 | |
expect(result[2]).toEqual [1,2,1] | |
it 'should return correctly for 3', -> | |
result = pascal 3 | |
expect(result.length).toBe 4 | |
expect(result[3]).toEqual [1,3,3,1] | |
it 'should return correctly for 4', -> | |
result = pascal 4 | |
expect(result.length).toBe 5 | |
expect(result[4]).toEqual [1,4,6,4,1] | |
it 'should return correctly for 5', -> | |
result = pascal 5 | |
expect(result.length).toBe 6 | |
expect(result[5]).toEqual [1,5,10,10,5,1] |
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