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Diffstat (limited to 'js/src/tests/ecma_6/Comprehensions/sudoku.js')
-rw-r--r-- | js/src/tests/ecma_6/Comprehensions/sudoku.js | 168 |
1 files changed, 168 insertions, 0 deletions
diff --git a/js/src/tests/ecma_6/Comprehensions/sudoku.js b/js/src/tests/ecma_6/Comprehensions/sudoku.js new file mode 100644 index 000000000..680f55f64 --- /dev/null +++ b/js/src/tests/ecma_6/Comprehensions/sudoku.js @@ -0,0 +1,168 @@ +/* -*- tab-width: 2; indent-tabs-mode: nil; js-indent-level: 2 -*- */ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + + +function copy(obj) { + var o = {}; + for (var i in obj) + o[i] = obj[i]; + return o; +} + +Array.prototype.repeat = function (n) { + var s = this.constructor(); + for (var i = 0; i < n; i++) + s = s.concat(this); + return s; +} + +String.prototype.center = function (w) { + var n = this.length; + if (w <= n) + return this; + var m = Math.floor((w - n) / 2); + return ' '.repeat(m) + this + ' '.repeat(w - n - m); +} + +Array.prototype.toString = Array.prototype.toSource +Object.prototype.toString = Object.prototype.toSource + +function all(seq) { + for (var e of seq) + if (!e) + return false; + return true; +} + +function some(seq) { + for (var e of seq) + if (e) + return e; + return false; +} + +function cross(A, B) { + return [for (a of A) for (b of B) a+b]; +} + +function dict(A) { + var d = {}; + for (var e of A) + d[e[0]] = e[1]; + return d; +} + +function set(A) { + var s = []; + for (var e of A) + if (!s.includes(e)) + s.push(e); + return s; +} + +function zip(A, B) { + var z = []; + var n = Math.min(A.length, B.length); + for (var i = 0; i < n; i++) + z.push([A[i], B[i]]); + return z; +} + +rows = 'ABCDEFGHI'; +cols = '123456789'; +digits = '123456789'; +squares = cross(rows, cols); +unitlist = [for (c of cols) cross(rows, c)] + .concat([for (r of rows) cross(r, cols)]) + .concat([for (rs of ['ABC','DEF','GHI']) for (cs of ['123','456','789']) cross(rs, cs)]); +units = dict((for (s of squares) + [s, [for (u of unitlist) if (u.includes(s)) u]])); + +peers = dict((for (s of squares) + [s, set([for (u of units[s]) for (s2 of u) if (s2 != s) s2])])); + +// Given a string of 81 digits (or . or 0 or -), return a dict of {cell:values}. +function parse_grid(grid) { + grid = [for (c of grid) if ('0.-123456789'.includes(c)) c]; + var values = dict((for (s of squares) [s, digits])); + + for (var pair of zip(squares, grid)) { + var s = pair[0], d = pair[1]; + if (digits.includes(d) && !assign(values, s, d)) + return false; + } + return values; +} + +// Eliminate all the other values (except d) from values[s] and propagate. +function assign(values, s, d) { + if (all((for (d2 of values[s]) if (d2 != d) eliminate(values, s, d2)))) + return values; + return false; +} + +// Eliminate d from values[s]; propagate when values or places <= 2. +function eliminate(values, s, d) { + if (!values[s].includes(d)) + return values; // Already eliminated + values[s] = values[s].replace(d, ''); + if (values[s].length == 0) + return false; // Contradiction: removed last value + if (values[s].length == 1) { + // If there is only one value (d2) left in square, remove it from peers + var d2 = values[s][0]; + if (!all((for (s2 of peers[s]) eliminate(values, s2, d2)))) + return false; + } + // Now check the places where d appears in the units of s + for (var u of units[s]) { + var dplaces = [for (s of u) if (values[s].includes(d)) s]; + if (dplaces.length == 0) + return false; + if (dplaces.length == 1) + // d can only be in one place in unit; assign it there + if (!assign(values, dplaces[0], d)) + return false; + } + return values; +} + +// Used for debugging. +function print_board(values) { + var width = 1 + Math.max.apply(Math, [for (s of squares) values[s].length]); + var line = '\n' + ['-'.repeat(width*3)].repeat(3).join('+'); + for (var r of rows) + print([for (c of cols) + values[r+c].center(width) + ('36'.includes(c) && '|' || '')] + .join('') + ('CF'.includes(r) && line || '')); + print('\n'); +} + +easy = "..3.2.6..9..3.5..1..18.64....81.29..7.......8..67.82....26.95..8..2.3..9..5.1.3.."; + +print_board(parse_grid(easy)); + +// Using depth-first search and constraint propagation, try all possible values. +function search(values) { + if (!values) + return false; // Failed earlier + if (all((for (s of squares) values[s].length == 1))) + return values; // Solved! + + // Choose the unfilled square s with the fewest possibilities + // XXX Math.min etc. should work with generator expressions and other iterators + // XXX Math.min etc. should work on arrays (lists or tuples in Python) as well as numbers + var a = [for (s of squares) if (values[s].length > 1) values[s].length + s].sort(); + var s = a[0].slice(-2); + + return some((for (d of values[s]) search(assign(copy(values), s, d)))); +} + +hard = '4.....8.5.3..........7......2.....6.....8.4......1.......6.3.7.5..2.....1.4......'; + +print_board(search(parse_grid(hard))) + +if (typeof reportCompare === "function") + reportCompare(true, true); |