September 2017 Update
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bba7bfd280
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14570 changed files with 153136 additions and 63871 deletions
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@ -4,11 +4,14 @@ function range(begin, end) {
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}
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function triples(n) {
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return [[x,y,z] for each (x in range(1,n+1))
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for each (y in range(x,n+1))
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for each (z in range(y,n+1))
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if (x*x + y*y == z*z) ]
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return [
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[x, y, z]
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for each(x in range(1, n + 1))
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for each(y in range(x, n + 1))
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for each(z in range(y, n + 1))
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if (x * x + y * y == z * z)
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]
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}
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for each (var triple in triples(20))
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print(triple);
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for each(var triple in triples(20))
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print(triple);
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@ -1,18 +1,31 @@
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(n => {
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(n => {
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'use strict';
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let flatMap = (xs, f) => [].concat.apply([], xs.map(f)),
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// GENERIC FUNCTIONS ------------------------------------------------------
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range = (m, n) => Array.from({
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length: (n - m) + 1
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}, (_, i) => m + i);
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// concatMap :: (a -> [b]) -> [a] -> [b]
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const concatMap = (f, xs) => [].concat.apply([], xs.map(f));
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// enumFromTo :: Int -> Int -> [Int]
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const enumFromTo = (m, n) =>
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Array.from({
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length: Math.floor(n - m) + 1
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}, (_, i) => m + i);
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return flatMap(range(1, n), (x) =>
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flatMap(range(1 + x, n), (y) =>
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flatMap(range(1 + y, n), (z) =>
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x * x + y * y === z * z ? [
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[x, y, z]
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] : []
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)));
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// EXAMPLE ----------------------------------------------------------------
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})(20);
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// [(x, y, z) | x <- [1..n], y <- [x..n], z <- [y..n], x ^ 2 + y ^ 2 == z ^ 2]
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return concatMap(x =>
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concatMap(y =>
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concatMap(z =>
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x * x + y * y === z * z ? [
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[x, y, z]
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] : [],
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enumFromTo(y, n)),
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enumFromTo(x, n)),
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enumFromTo(1, n));
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})(20);
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@ -0,0 +1 @@
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[[3, 4, 5], [5, 12, 13], [6, 8, 10], [8, 15, 17], [9, 12, 15], [12, 16, 20]]
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