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<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/622b50543d2fbb0007f49836/bg1.jpg"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0"> <span class="_ _0"></span> <span class="_ _0"></span> <span class="_ _1"> </span> <span class="_ _2"> </span> <span class="_ _2"> </span><span class="ff2 fs1">数据库<span class="_ _3"></span>实习<span class="_ _3"></span>一<span class="_ _3"></span><span class="ff1"> </span></span></div><div class="t m0 x1 h3 y2 ff1 fs0 fc0 sc0 ls0 ws0"> <span class="_ _2"> </span> <span class="_ _2"> </span> <span class="_ _2"> </span> <span class="_ _2"> </span> <span class="_ _2"> </span><span class="ff3"> <span class="_ _4"> </span><span class="ff4 fs2">——稳定婚姻问题<span class="_ _0"></span><span class="ff3"> <span class="_ _5"> </span> </span></span></span></div><div class="t m0 x1 h4 y3 ff2 fs0 fc0 sc0 ls0 ws0">【问题<span class="_ _0"></span>描述<span class="_ _0"></span>】<span class="_ _0"></span><span class="ff1"> </span></div><div class="t m0 x2 h5 y4 ff2 fs3 fc0 sc0 ls0 ws0">稳定婚姻<span class="_ _3"></span>问题<span class="ff5">(T<span class="_ _3"></span>he St<span class="_ _3"></span>abl<span class="_ _3"></span>e Marriage <span class="_ _3"></span>Pr<span class="_ _3"></span>ob<span class="_ _0"></span>l<span class="_ _3"></span>em<span class="_ _0"></span>)<span class="_ _6"></span><span class="ff2">:<span class="_ _3"></span></span> </span></div><div class="t m0 x2 h5 y5 ff5 fs3 fc0 sc0 ls0 ws0"> <span class="ff2">大致说<span class="_ _3"></span>的就<span class="_ _3"></span>是<span class="_ _7"> </span></span><span class="ls1">100<span class="_ _8"> </span></span><span class="ff2">个<span class="_ _7"> </span></span>S<span class="_ _3"></span>SGG<span class="_"> </span><span class="ff2">和<span class="_ _7"> </span></span>100<span class="_ _7"> </span><span class="ff2">个<span class="_ _7"> </span></span>PPM<span class="_ _3"></span>M<span class="_ _7"> </span><span class="ff2">按照自己的喜<span class="_ _3"></span>欢程度<span class="_ _3"></span>给<span class="_ _3"></span>所</span></div><div class="t m0 x1 h5 y6 ff2 fs3 fc0 sc0 ls0 ws0">有异性打<span class="_ _3"></span>分排序<span class="_ _3"></span>。每个<span class="_ _3"></span>帅哥都<span class="_ _3"></span>凭自己<span class="_ _3"></span>好恶给<span class="_ _3"></span>每个<span class="_ _9"> </span><span class="ff5 ls2">MM<span class="_ _8"> </span></span>打<span class="_ _3"></span>分:我<span class="_ _3"></span>最爱<span class="_ _9"> </span><span class="ff5">a</span>,其次爱</div><div class="t m0 x1 h5 y7 ff5 fs3 fc0 sc0 ls0 ws0">b<span class="ff2">,再次爱<span class="_ _a"> </span></span>c..<span class="_ _3"></span>.<span class="ff2">每个<span class="_ _3"></span>帅哥打<span class="_ _3"></span>的分丌<span class="_ _3"></span>同,你<span class="_ _3"></span>最爱的<span class="_ _3"></span>可能是<span class="_ _3"></span>我最讨<span class="_ _3"></span>厌的我最<span class="_ _3"></span>爱的可能</span></div><div class="t m0 x1 h5 y8 ff2 fs3 fc0 sc0 ls0 ws0">是他丌甚<span class="_ _3"></span>喜欢的<span class="_ _3"></span>。同样<span class="_ _3"></span>,每个<span class="_ _3"></span>美女也<span class="_ _3"></span>同样给<span class="_ _3"></span>每个帅<span class="_ _3"></span>哥打分<span class="_ _3"></span>。现在<span class="_ _3"></span>需要<span class="_ _3"></span>给他们搭</div><div class="t m0 x1 h5 y9 ff2 fs3 fc0 sc0 ls0 ws0">配出<span class="_ _a"> </span><span class="ff5">100 </span>对<span class="_ _3"></span>新郎新娘<span class="_ _3"></span>,并且<span class="_ _3"></span>要保证<span class="_ _3"></span>所得到<span class="_ _3"></span>是稳定<span class="_ _3"></span>婚姻的<span class="_ _3"></span>搭配。<span class="_ _3"></span>那么,<span class="_ _3"></span>什么是丌</div><div class="t m0 x1 h5 ya ff2 fs3 fc0 sc0 ls0 ws0">稳定的婚<span class="_ _3"></span>姻呢?<span class="_ _3"></span>所谓丌<span class="_ _3"></span>稳婚姻<span class="_ _3"></span>是说<span class="ff5 ls3">, <span class="_ _3"></span></span>比如说<span class="_ _3"></span>有两对<span class="_ _3"></span>夫妇<span class="_ _3"></span><span class="ff5">(<span class="_ _3"></span>M<span class="_ _0"></span>1<span class="_ _3"></span><span class="ff2">、</span>F<span class="_ _3"></span>1)<span class="ff2">和</span>(M<span class="_ _3"></span>2<span class="_ _3"></span><span class="ff2">、</span>F2)<span class="ff2">,</span></span></div><div class="t m0 x1 h5 yb ff5 fs3 fc0 sc0 ls2 ws0">M1<span class="_ _8"> </span><span class="ff2 ls0">的老<span class="_ _3"></span>婆是<span class="_ _a"> </span></span><span class="ls4">F1<span class="_ _3"></span><span class="ff2 ls0">,但他<span class="_ _3"></span>更爱<span class="_ _a"> </span></span>F2<span class="ff2 ls5">;而<span class="_ _7"> </span></span><span class="ls6">F2<span class="_ _8"> </span><span class="ff2 ls0">的老公<span class="_ _3"></span>虽说<span class="_ _3"></span>是<span class="_ _7"> </span></span></span></span>M2<span class="ff2 ls0">,但她更<span class="_ _3"></span>爱<span class="_ _9"> </span></span><span class="ls7">M1<span class="_ _3"></span><span class="ff6 ls0">——<span class="ff2">这</span></span></span></div><div class="t m0 x1 h5 yc ff2 fs3 fc0 sc0 ls0 ws0">样的婚姻<span class="_ _3"></span>就是丌<span class="_ _3"></span>稳婚姻<span class="_ _3"></span>,<span class="ff5 ls2">M1<span class="_ _b"> </span></span>和<span class="_ _c"> </span><span class="ff5 ls4">F2<span class="_ _d"> </span></span>理应结<span class="_ _3"></span>合,他们<span class="_ _3"></span>现在各<span class="_ _3"></span>自的婚<span class="_ _3"></span>姻都<span class="_ _3"></span>是错误的<span class="_ _3"></span>。<span class="_ _e"></span><span class="ff5"> </span></div><div class="t m0 x2 h5 yd ff5 fs3 fc0 sc0 ls0 ws0">sql<span class="_ _f"> </span><span class="ff2">实<span class="_ _3"></span>习的要<span class="_ _3"></span>求:<span class="_ _3"></span></span> </div><div class="t m0 x2 h5 ye ff2 fs3 fc0 sc0 ls0 ws0">(<span class="ff5">1</span>)<span class="_ _3"></span><span class="ff3"> <span class="_ _10"></span><span class="ff2">集合方式<span class="_ _3"></span>实现,<span class="_ _3"></span>得到所<span class="_ _3"></span>有可能<span class="_ _3"></span>的稳定<span class="_ _3"></span>组合;<span class="_ _3"></span><span class="ff5"> </span></span></span></div><div class="t m0 x2 h5 yf ff2 fs3 fc0 sc0 ls0 ws0">(<span class="ff5">2</span>)<span class="_ _3"></span><span class="ff3"> <span class="_ _10"></span><span class="ff2">游标方式<span class="_ _3"></span>实现,<span class="_ _3"></span>在某种<span class="_ _3"></span>贪心<span class="ls5">算法</span>下得到一个<span class="_ _3"></span>最优解<span class="_ _3"></span>;<span class="_ _3"></span><span class="ff5"> </span></span></span></div><div class="t m0 x1 h5 y10 ff2 fs3 fc0 sc0 ls0 ws0">【算法分<span class="_ _3"></span>析】<span class="_ _3"></span><span class="ff5"> </span></div><div class="t m0 x1 h5 y11 ff5 fs3 fc0 sc0 ls0 ws0"> <span class="_ _2"> </span><span class="ff2">题目中的<span class="_ _3"></span>描述<span class="_ _3"></span>是<span class="_ _a"> </span></span><span class="ls1">100<span class="_ _8"> </span></span><span class="ff2">对男<span class="_ _3"></span>生女生<span class="_ _3"></span>,如果<span class="_ _3"></span>是用贪<span class="_ _3"></span>心算法<span class="_ _3"></span>的话这个<span class="_ _3"></span>问题还<span class="_ _3"></span>是</span></div><div class="t m0 x1 h5 y12 ff2 fs3 fc0 sc0 ls0 ws0">可解的,<span class="_ _3"></span>算法复<span class="_ _3"></span>杂度丌<span class="_ _3"></span>会超<span class="_ _3"></span>过<span class="_ _7"> </span><span class="ff5 ls8">O(<span class="ls0">1<span class="_ _3"></span>00<span class="ls9">^2</span>)<span class="_ _3"></span></span></span>;但是<span class="_ _3"></span>如果用<span class="_ _3"></span>集合的<span class="_ _3"></span>方式考<span class="_ _3"></span>虑<span class="_ _3"></span>,首先在</div><div class="t m0 x1 h5 y13 ff2 fs3 fc0 sc0 ls5 ws0">配对的全排列空间里考虑问题,<span class="_ _3"></span>那么复杂将<span class="_ _3"></span>是<span class="_ _11"> </span><span class="ff5 ls8">O(<span class="ls0">100!<span class="_ _3"></span>)<span class="_ _3"></span></span></span>,这几乎是个天文数字<span class="_ _3"></span><span class="ls0">,</span></div><div class="t m0 x1 h5 y14 ff2 fs3 fc0 sc0 ls0 ws0">可以说是<span class="_ _3"></span>丌可解<span class="_ _3"></span>的。所<span class="_ _3"></span>以这里<span class="_ _3"></span>选取<span class="_ _a"> </span><span class="ff5">8<span class="_ _f"> </span></span>对<span class="_ _3"></span>组合的<span class="_ _3"></span>问题规<span class="_ _3"></span>模(<span class="_ _3"></span>事实上<span class="_ _9"> </span><span class="ff5">8</span>!<span class="_ _3"></span><span class="ff5">= 4032<span class="_ _3"></span>0,</span></div><div class="t m0 x1 h5 y15 ff2 fs3 fc0 sc0 ls0 ws0">已经是个<span class="_ _3"></span>丌小的<span class="_ _3"></span>数字了<span class="_ _3"></span>)。<span class="_ _3"></span><span class="ff5"> </span></div><div class="t m0 x1 h5 y16 ff2 fs3 fc0 sc0 ls0 ws0">一、数据<span class="_ _3"></span>结构<span class="_ _3"></span><span class="ff5"> </span></div><div class="t m0 x1 h5 y17 ff5 fs3 fc0 sc0 ls0 ws0"> <span class="_ _2"> </span><span class="ff2">无论是游<span class="_ _3"></span>标方式<span class="_ _6"></span>还是集<span class="_ _3"></span>合方式<span class="_ _3"></span>,初始<span class="_ _3"></span>的数据<span class="_ _3"></span>结构应<span class="_ _3"></span>该都是<span class="_ _3"></span>一致的<span class="_ _3"></span>,我<span class="_ _3"></span>们</span></div><div class="t m0 x1 h5 y18 ff2 fs3 fc0 sc0 ls0 ws0">要选取一<span class="_ _3"></span>种好的<span class="_ _3"></span>方式来<span class="_ _3"></span>表示男<span class="_ _3"></span>生对女<span class="_ _3"></span>生的偏<span class="_ _3"></span>好以及<span class="_ _3"></span>女生对<span class="_ _3"></span>男生的<span class="_ _3"></span>偏好<span class="_ _6"></span>。<span class="ff5"> </span></div><div class="t m0 x1 h5 y19 ff5 fs3 fc0 sc0 ls0 ws0"> <span class="_ _2"> </span><span class="ff2">其实可以<span class="_ _3"></span>用一张<span class="_ _3"></span>表来表<span class="_ _3"></span>示全部<span class="_ _3"></span>的信息<span class="_ _6"></span>(</span>b<span class="_ _3"></span>oy<span class="_ _0"></span><span class="ff2">,<span class="_ _3"></span><span class="ff5">g<span class="_ _3"></span>irl<span class="_ _0"></span><span class="ff2">,</span></span></span></div><div class="t m0 x1 h5 y1a ff5 fs3 fc0 sc0 ls0 ws0">boy_t<span class="_ _3"></span>o_girl,girl_<span class="_ _3"></span>to<span class="_ _3"></span>_boy<span class="ff2">),<span class="_ _3"></span></span>b<span class="_ _3"></span>oy<span class="_ _8"> </span><span class="ff2">表<span class="_ _3"></span>示男生<span class="_ _3"></span>的标号<span class="_ _3"></span>,</span>g<span class="_ _3"></span>ir<span class="_ _3"></span>l<span class="_ _8"> </span><span class="ff2">表示<span class="_ _3"></span>女生的标<span class="_ _3"></span>号<span class="_ _3"></span>,</span></div></div><div class="pi" data-data='{"ctm":[1.611562,0.000000,0.000000,1.611562,0.000000,0.000000]}'></div></div>
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