--- id: 59694356a6e7011f7f1c5f4e title: FreeCell的交易卡 challengeType: 5 videoUrl: '' dashedName: deal-cards-for-freecell --- # --description--
Free Cell是Paul Alfille在1978年向PLATO系统推出的单人纸牌游戏。微软的Jim Horne将名称更改为FreeCell并重新实现了DOS游戏,然后是Windows游戏。
这个版本引入了32000个编号的交易。 ( FreeCell FAQ讲述了这段历史。)
随着游戏的流行,Jim Horne披露了这种算法 ,FreeCell的其他实现开始重现微软的交易。
这些交易编号从1到32000。
微软的新版本有100万笔交易,编号从1到1000000;某些实现允许该范围之外的数字。
该算法使用Microsoft C的这种线性同余生成器 :
$ state\_ {n + 1} \\ equiv 214013 \\ times state_n + 2531011 \\ pmod {2 ^ {31}} $ $ rand_n = state_n \\ div 2 ^ {16} $ $ rand_n $的范围是0到32767。该算法如下:
使用交易编号为RNG播种。创建一个由52张牌组成的阵列 :俱乐部的王牌,钻石王牌,心中的王牌,黑桃王牌,2个俱乐部,2个钻石等等等等:Ace,2,3,4,5,6, 7,8,9,10,杰克,女王,国王。数组索引为0到51,其中俱乐部的Ace为0,黑桃之王为51.直到数组为空:在索引≡下一个随机数(mod数组长度)中选择随机卡。将此随机卡与阵列的最后一张卡交换。从阵列中删除此随机卡。 (数组长度减少1.)处理此随机卡。交易所有52张牌,面朝上,横跨8列。前8张牌分为8列,后8张牌分为8张,依此类推。例:订购交易卡
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52
游戏#1
[ ['JD','2D','9H','JC','5D','7H','7C','5H'], ['KD','KC','9S','5S','AD','QC','KH','3H'], ['2S','KS','9D','QD','JS','AS','AH','3C'], ['4C','5C','TS','QH','4H','AC','4D','7S'], ['3S','TD','4S','TH','8H','2C','JH','7D'], ['6D','8S','8D','QS','6C','3D','8C','TC'], ['6S','9C','2H','6H'] ]
游戏#617
[ ['7D','AD','5C','3S','5S','8C','2D','AH'], ['TD','7S','QD','AC','6D','8H','AS','KH'], ['TH','QC','3H','9D','6S','8D','3D','TC'], ['KD','5H','9S','3C','8S','7H','4D','JS'], ['4C','QS','9C','9H','7C','6H','2C','2S'], ['4S','TS','2H','5D','JC','6C','JH','QH'], ['JD','KS','KC','4H'] ]任务:
编写一个函数来获取交易编号并按照与此算法相同的顺序处理卡。
该函数必须返回表示FreeCell板的二维数组。
还可以针对1000000游戏的FreeCell解决方案检查交易。
(召唤一个视频解决方案,它会显示初始交易。)
# --hints-- `dealFreeCell`是一个功能。 ```js assert(typeof dealFreeCell === 'function'); ``` `dealFreeCell(seed)`应该返回一个对象。 ```js assert(typeof dealFreeCell(1) === 'object'); ``` `dealFreeCell(seed)`应该返回一个长度为7的数组。 ```js assert(dealFreeCell(1).length === 7); ``` `dealFreeCell(1)`应该返回一个与示例“Game#1”相同的数组 ```js assert.deepEqual(dealFreeCell(1), game1); ``` `dealFreeCell(617)`应该返回一个与示例“Game#617”相同的数组 ```js assert.deepEqual(dealFreeCell(617), game617); ``` # --seed-- ## --after-user-code-- ```js const replaceThis = 3; const game1 = [ ['JD', '2D', '9H', 'JC', '5D', '7H', '7C', '5H'], ['KD', 'KC', '9S', '5S', 'AD', 'QC', 'KH', '3H'], ['2S', 'KS', '9D', 'QD', 'JS', 'AS', 'AH', '3C'], ['4C', '5C', 'TS', 'QH', '4H', 'AC', '4D', '7S'], ['3S', 'TD', '4S', 'TH', '8H', '2C', 'JH', '7D'], ['6D', '8S', '8D', 'QS', '6C', '3D', '8C', 'TC'], ['6S', '9C', '2H', '6H'] ]; const game617 = [ ['7D', 'AD', '5C', '3S', '5S', '8C', '2D', 'AH'], ['TD', '7S', 'QD', 'AC', '6D', '8H', 'AS', 'KH'], ['TH', 'QC', '3H', '9D', '6S', '8D', '3D', 'TC'], ['KD', '5H', '9S', '3C', '8S', '7H', '4D', 'JS'], ['4C', 'QS', '9C', '9H', '7C', '6H', '2C', '2S'], ['4S', 'TS', '2H', '5D', 'JC', '6C', 'JH', 'QH'], ['JD', 'KS', 'KC', '4H'] ]; ``` ## --seed-contents-- ```js function dealFreeCell(seed) { return true; } ``` # --solutions-- ```js // RNG function FreeCellRNG(seed) { return { lastNum: seed, next() { this.lastNum = ((214013 * this.lastNum) + 2531011) % (Math.pow(2, 31)); return this.lastNum >> 16; } }; } // Get cards function getDeck() { const ranks = ['A', '2', '3', '4', '5', '6', '7', '8', '9', 'T', 'J', 'Q', 'K']; const suits = ['C', 'D', 'H', 'S']; const cards = []; for (let i = 0; i < ranks.length; i += 1) { for (let j = 0; j < suits.length; j += 1) { cards.push(`${ranks[i]}${suits[j]}`); } } return cards; } function dealFreeCell(seed) { const rng = FreeCellRNG(seed); const deck = getDeck(); const deltCards = [[], [], [], [], [], [], []]; let currentColumn = 0; let currentRow = 0; let rand; let temp; let card; while (deck.length > 0) { // Choose a random card rand = rng.next() % deck.length; // Swap this random card with the last card in the array temp = deck[deck.length - 1]; deck[deck.length - 1] = deck[rand]; deck[rand] = temp; // Remove this card from the array card = deck.pop(); // Deal this card deltCards[currentRow].push(card); currentColumn += 1; if (currentColumn === 8) { currentColumn = 0; currentRow += 1; } } return deltCards; } ```