经 典 算 法 大 全 老奔整理 Email: ben0133@163.com 目录 1.河内之塔........................................................................................................................................ 4 2.Algorithm Gossip: 费式数列........................................................................................................ 5 3. 巴斯卡三角形.............................................................................................................................. 6 4.Algorithm Gossip: 三色棋............................................................................................................ 7 5.Algorithm Gossip: 老鼠走迷官（一）........................................................................................ 9 6.Algorithm Gossip: 老鼠走迷官（二）...................................................................................... 11 7.Algorithm Gossip: 骑士走棋盘.................................................................................................. 13 8.Algorithm Gossip: 八皇后.......................................................................................................... 16 9.Algorithm Gossip: 八枚银币...................................................................................................... 18 10.Algorithm Gossip: 生命游戏.................................................................................................... 20 11.Algorithm Gossip: 字串核对.................................................................................................... 23 12.Algorithm Gossip: 双色、三色河内塔.................................................................................... 25 13.Algorithm Gossip: 背包问题（Knapsack Problem）............................................................. 29 14.Algorithm Gossip: 蒙地卡罗法求 PI...................................................................................... 34 15.Algorithm Gossip: Eratosthenes 筛选求质数............................................................................36 16.Algorithm Gossip: 超长整数运算（大数运算）.................................................................... 37 17.Algorithm Gossip: 长 PI........................................................................................................... 39 18.Algorithm Gossip: 最大公因数、最小公倍数、因式分解.................................................... 43 19.Algorithm Gossip: 完美数........................................................................................................ 46 20.Algorithm Gossip: 阿姆斯壮数................................................................................................ 49 21.Algorithm Gossip: 最大访客数................................................................................................ 50 22.Algorithm Gossip: 中序式转后序式（前序式）.................................................................... 52 23.Algorithm Gossip: 后序式的运算............................................................................................ 56 24.Algorithm Gossip: 洗扑克牌（乱数排列）............................................................................ 58 25.Algorithm Gossip: Craps 赌博游戏........................................................................................... 60 26.Algorithm Gossip: 约瑟夫问题（Josephus Problem）........................................................... 62 27.Algorithm Gossip: 排列组合.................................................................................................... 64 28.Algorithm Gossip: 格雷码（Gray Code）...............................................................................66 29.Algorithm Gossip: 产生可能的集合........................................................................................ 68 30.Algorithm Gossip: m 元素集合的 n 个元素子集..................................................................... 71 31.Algorithm Gossip: 数字拆解.................................................................................................... 73 32.Algorithm Gossip: 得分排行.................................................................................................... 76 33.Algorithm Gossip: 选择、插入、气泡排序............................................................................ 78 34.Algorithm Gossip: Shell 排序法 - 改良的插入排序............................................................. 82 35.Algorithm Gossip: Shaker 排序法 - 改良的气泡排序.......................................................... 85 36.排序法 - 改良的选择排序....................................................................................................... 87 37.Algorithm Gossip: 快速排序法（一）...............................................................