{"id":276808,"date":"2021-01-13T07:14:35","date_gmt":"2021-01-12T23:14:35","guid":{"rendered":"http:\/\/4563.org\/?p=276808"},"modified":"2021-01-13T07:14:35","modified_gmt":"2021-01-12T23:14:35","slug":"%e5%85%b3%e4%ba%8e%e7%9b%b2%e7%9b%92%e6%a6%82%e7%8e%87%e7%9a%84%e8%ae%a1%e7%ae%97%e9%97%ae%e9%a2%98","status":"publish","type":"post","link":"http:\/\/4563.org\/?p=276808","title":{"rendered":"\u5173\u4e8e\u76f2\u76d2\u6982\u7387\u7684\u8ba1\u7b97\u95ee\u9898"},"content":{"rendered":"<div>\n<div>\n<div>\n<h1>                  \u5173\u4e8e\u76f2\u76d2\u6982\u7387\u7684\u8ba1\u7b97\u95ee\u9898               <\/h1>\n<p> <\/p>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : songz <\/span>  <span><i><\/i> 2<\/span> <\/div>\n<div> <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div isfirst=\"1\"> <\/p>\n<h1>\u80cc\u666f<\/h1>\n<p> <\/p>\n<ul>\n<li>\u5047\u8bbe\u6709 M \u4e2a\u76d2\u5b50\u91cc\u88c5\u7740 N \u4e2a\u4e0d\u540c\u7c7b\u578b\u7684\u73a9\u5177<\/li>\n<li>\u5047\u8bbe N=M<\/li>\n<li>\u6bcf\u4e2a\u76d2\u5b50\u90fd\u4f1a\u63d0\u793a<strong>\u67d0 3 \u4e2a\u73a9\u5177<\/strong>\u4e0d\u53ef\u80fd\u51fa\u73b0\u5728\u91cc\u9762<\/li>\n<\/ul>\n<h1>\u95ee\u9898<\/h1>\n<p> <\/p>\n<ul>\n<li>\u5f53\u6837\u672c MN=12 \u65f6\u62a5\u9519<\/li>\n<\/ul>\n<pre><code>var artObjects = [\"dbld\", \"db\", \"fdm\", \"hg\", \"hm\", \"le\", \"mef\", \"mg\", \"hlbt\", \"lp\", \"xtlx\", \"lw\"]  var impossibleObjects = [     [\"fdm\", \"lw\", \"mef\"],\/\/\u7b2c 1 \u4e2a\u683c\u5b50\u4e0d\u4f1a\u51fa\u73b0\u7684\u7269\u54c1     [\"fdm\", \"xtlx\", \"hm\"],\/\/\u7b2c 2 \u4e2a\u683c\u5b50\u4e0d\u4f1a\u51fa\u73b0\u7684\u7269\u54c1     [\"dbld\", \"fdm\", \"hlbt\"],\/\/\u7b2c 3 \u4e2a\u683c\u5b50\u4e0d\u4f1a\u51fa\u73b0\u7684\u7269\u54c1     [\"fdm\", \"db\", \"hg\"],\/\/...     [\"hlbt\", \"lp\", \"db\"],\/\/...     [\"lw\", \"lp\", \"mef\"],     [\"xtlx\", \"db\", \"fdm\"],     [\"mef\", \"hg\", \"hlbt\"],     [\"hg\", \"le\", \"xtlx\"],     [\"le\", \"lw\", \"lp\"],     [\"mg\", \"hm\", \"mef\"],     [\"lw\", \"mg\", \"le\"] ] <\/code><\/pre>\n<p>\u62a5\u9519<\/p>\n<pre><code>&lt;--- Last few GCs ---&gt;  [2338:0x108008000]    30104 ms: Scavenge 4052.4 (4129.0) -&gt; 4047.7 (4130.5) MB, 4.0 \/ 0.0 ms  (average mu = 0.210, current mu = 0.145) allocation failure  [2338:0x108008000]    30111 ms: Scavenge 4054.0 (4130.5) -&gt; 4049.1 (4131.8) MB, 3.7 \/ 0.0 ms  (average mu = 0.210, current mu = 0.145) allocation failure  [2338:0x108008000]    30653 ms: Scavenge 4055.4 (4131.8) -&gt; 4050.6 (4147.8) MB, 538.3 \/ 0.0 ms  (average mu = 0.210, current mu = 0.145) allocation failure    &lt;--- JS stacktrace ---&gt;  FATAL ERROR: MarkCompactCollector: young object promotion failed Allocation failed - JavaScript heap out of memory <\/code><\/pre>\n<ul>\n<li>\u5f53\u6837\u672c M=N=6 \u65f6\u6ca1\u6709\u95ee\u9898<\/li>\n<\/ul>\n<pre><code>var artObjects = [\"\u5973\u5b69\", \"\u7537\u5b69\", \"\u4e73\u725b\", \"\u535a\u5ba2\", \"\u751c\u70b9\", \"\u670b\u514b\"]  var impossibleObjects = [     [\"\u751c\u70b9\", \"\u670b\u514b\", \"\u5973\u5b69\"],     [\"\u4e73\u725b\", \"\u751c\u70b9\", \"\u535a\u5ba2\"],     [\"\u5973\u5b69\", \"\u4e73\u725b\", \"\u751c\u70b9\"],     [\"\u751c\u70b9\", \"\u4e73\u725b\", \"\u7537\u5b69\"],     [\"\u535a\u5ba2\", \"\u5973\u5b69\", \"\u7537\u5b69\"],     [\"\u670b\u514b\", \"\u7537\u5b69\", \"\u535a\u5ba2\"] ] <\/code><\/pre>\n<p>\u7ed3\u679c<\/p>\n<pre><code>\u5973\u5b69:[0,41,0,41,0,17] \u7537\u5b69:[35,29,35,0,0,0] \u4e73\u725b:[29,0,0,0,35,35] \u535a\u5ba2:[35,0,35,29,0,0] \u751c\u70b9:[0,0,0,0,52,47] \u670b\u514b:[0,29,29,29,11,0] <\/code><\/pre>\n<h1>\u8bf7\u6559<\/h1>\n<p> <\/p>\n<p>\u5728 node \u73af\u5883\u4e0b\u5982\u4f55\u8ba9\u811a\u672c\u5728\u6837\u672c\u7b49\u4e8e MN=12 \u65f6\u6b63\u5e38\u8f93\u51fa\uff1f<\/p>\n<h1>js \u811a\u672c<\/h1>\n<p> <\/p>\n<blockquote>\n<p>\u6570\u7ec4\u5168\u6392\u5217\u7528\u7684\u8fd9\u91cc https:\/\/github.com\/GDUFXRT\/NOTES\/tree\/master\/permutation<\/p>\n<\/blockquote>\n<pre><code>function permutation(a, m) {      let result = [];     let n = a.length;     m = m || n;      function recur(_a, tmpResult = []) {         if (tmpResult.length === m) {              result.push(tmpResult);          } else {             for (let i = 0; i &lt; _a.length; i++) {                  let tmpA = _a.concat();                  let _tmpResult = tmpResult.concat();                  _tmpResult.push(tmpA[i]);                  tmpA.splice(i, 1);                 recur(tmpA, _tmpResult);             }         }     }      recur(a);     return result; }   \/\/12 \u4e2a\u7269\u54c1\u653e\u5728 12 \u4e2a\u683c\u5b50 var artObjects = [\"dbld\", \"db\", \"fdm\", \"hg\", \"hm\", \"le\", \"mef\", \"mg\", \"hlbt\", \"lp\", \"xtlx\", \"lw\"]  var impossibleObjects = [     [\"fdm\", \"lw\", \"mef\"],\/\/\u7b2c 1 \u4e2a\u683c\u5b50\u4e0d\u4f1a\u51fa\u73b0\u7684\u7269\u54c1     [\"fdm\", \"xtlx\", \"hm\"],\/\/\u7b2c 2 \u4e2a\u683c\u5b50\u4e0d\u4f1a\u51fa\u73b0\u7684\u7269\u54c1     [\"dbld\", \"fdm\", \"hlbt\"],\/\/\u7b2c 3 \u4e2a\u683c\u5b50\u4e0d\u4f1a\u51fa\u73b0\u7684\u7269\u54c1     [\"fdm\", \"db\", \"hg\"],\/\/...     [\"hlbt\", \"lp\", \"db\"],\/\/...     [\"lw\", \"lp\", \"mef\"],     [\"xtlx\", \"db\", \"fdm\"],     [\"mef\", \"hg\", \"hlbt\"],     [\"hg\", \"le\", \"xtlx\"],     [\"le\", \"lw\", \"lp\"],     [\"mg\", \"hm\", \"mef\"],     [\"lw\", \"mg\", \"le\"] ]  var allArray = permutation(artObjects)  var arrayGroup = [allArray]  for (var i = 0; i &lt; artObjects.length; i++) {      arrayGroup[i + 1] = []      for (var j = 0; j &lt; arrayGroup[i].length; j++) {          if ((arrayGroup[i][j][i] !== impossibleObjects[i][0]) &amp;&amp;             (arrayGroup[i][j][i] !== impossibleObjects[i][1]) &amp;&amp;             (arrayGroup[i][j][i] !== impossibleObjects[i][2]) &amp;&amp;             (arrayGroup[i][j][i] !== (impossibleObjects[i][3] !== undefined ? impossibleObjects[i][3] : \"\"))) {              arrayGroup[i + 1].push(arrayGroup[i][j])         }     }      console.log(arrayGroup[i + 1].length)  } var finalArray = arrayGroup[arrayGroup.length - 1]  var resultGroup = {}  for (var i = 0; i &lt; artObjects.length; i++) {      resultGroup[artObjects[i]] = []      for (var a = 0; a &lt; artObjects.length; a++) {          resultGroup[artObjects[i]][a] = []     }      for (var f = 0; f &lt; finalArray.length; f++) {          for (var t = 0; t &lt; artObjects.length; t++) {              if (finalArray[f][t] == artObjects[i]) {                  resultGroup[artObjects[i]][t].push(finalArray[f])             }         }      }     console.log(artObjects[i] + \":\" + JSON.stringify(resultGroup[artObjects[i]].map((count) =&gt; Math.floor(count.length \/ finalArray.length * 100))))  } <\/code><\/pre>\n<\/p><\/div>\n<div> <b>\u5927\u4f6c\u6709\u8a71\u8aaa<\/b> (<span>11<\/span>)        <\/div>\n<div> <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<ul>\n<li data-pid=\"4920660\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : misdake <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             \u4e0a\u6765\u5c31\u6c42\u5168\u6392\u5217\uff0c12!=479001600 \u79cd\u60c5\u51b5\uff0c\u6bcf\u4e00\u4e2a\u90fd\u662f 12 \u957f\u5ea6\u7684\u5b57\u7b26\u4e32\u6570\u7ec4\uff0c\u6bcf\u51e0\u5341\u4e0a\u767e GB \u5185\u5b58\u662f\u4e0d\u591f\u7684                                                            <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"4920661\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : shintendo <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             \u867d\u7136\u4f60\u7684\u63d0\u95ee\u5f88\u8be6\u7ec6\uff0c\u6392\u7248\u5e72\u51c0\u4ee4\u4eba\u8d4f\u5fc3\u60a6\u76ee\uff0c\u4f46\u65e2\u7136\u662f\u7a0b\u5e8f\u5d29\u6e83\u800c\u4e0d\u662f\u7ed3\u679c\u9519\u8bef\uff0c\u5176\u5b9e\u53ea\u8981\u8d34\u51fa\u4ee3\u7801\u7136\u540e\u95ee\u4e3a\u4ec0\u4e48\u5d29\u6e83\u5c31\u597d\uff0c\u6211\u8fd8\u8bfb\u4e86\u534a\u5929\u80cc\u666f\u95ee\u9898\u2026\u2026\u8bdd\u8bf4\u4f60\u8fd9\u4e2a\u660e\u663e\u662f\u9012\u5f52\u8fc7\u6df1\u7206\u6808\u4e86\u5427                                                            <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"4920662\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : banricho <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             \u80fd\u628a\u6c42\u52a9\u8d34\u53d1\u6210\u8fd9\u6837\u4e5f\u662f\u5957\u8def\u5f88\u6df1                                                            <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"4920663\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : misdake <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             \u5982\u679c\u80fd\u6bcf\u6b21\u6c42\u51fa\u4e00\u4e2a\u6392\u5217\u5c31\u8fdb\u884c\u7edf\u8ba1\u7684\u8bdd\uff0c\u5185\u5b58\u5c31\u5e94\u8be5\u591f\u4e86\u3002\u800c\u4e0d\u662f\u628a\u6307\u6570\u7ea7\u7684\u7684\u53ef\u80fd\u7ed3\u679c\u5168\u90e8\u653e\u5230\u4e00\u4e2a\u6570\u7ec4\u91cc\u518d\u4e00\u4e2a\u4e00\u4e2a\u7edf\u8ba1\u3002<br \/>\u53e6\u5916\u63a8\u8350\u4ed4\u7ec6\u5b66\u4e60\u4e00\u4e0b\u5168\u6392\u5217\u7684\u4ee3\u7801\uff0c\u628a\u4f60\u8fd9\u4e2a impossibleObjects \u7684\u903b\u8f91\u653e\u5230\u5168\u6392\u5217\u91cc\u8fdb\u884c\u526a\u679d\uff0c\u6027\u80fd\u4f1a\u597d\u5f88\u591a\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"4920664\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u4e3b<\/span> <span>\u8cc7\u6df1\u5927\u4f6c : songz <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             @misdake \u8c22\u8c22\u4f60\u7684\u601d\u8def\uff01                                                            <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"4920665\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : shintendo <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             https:\/\/gist.github.com\/niaodan2b\/7f3dc1d13b98655b8ca1dd875abb676e <button onclick=\"lazyGist(this)\">\u00a0\u663e\u793a Gist \u4ee3\u7801\u00a0<\/button> <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"4920666\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : alan0liang <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             @shintendo \u4e0d\u662f\u7206\u6808\u4e86\uff0c\u7206\u6808\u4e86\u662f\u8fd9\u6837\u7684\uff1aRangeError: Maximum call stack size exceeded<\/p>\n<p>\u5982\u679c\u53ea\u662f\u60f3\u5f3a\u884c\u8c03\u5927 node \u5185\u5b58\u4e0a\u9650\u7684\u8bdd\u53ef\u4ee5\u7528 node &#8211;max-old-space-size=4096 file.js \u3002                                                            <\/p><\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"4920667\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u4e3b<\/span> <span>\u8cc7\u6df1\u5927\u4f6c : songz <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             @shintendo #6 \u611f\u8c22\uff01\u4ee3\u7801\u4f18\u96c5\u591a\u4e86\uff0c\u4e5f\u4e0d\u62a5\u9519\uff01                                                            <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"4920668\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : dangyuluo <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             \u4e0d\u662f stack\uff0c\u662f heap \u7206\u4e86                                                            <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"4920669\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : krixaar <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             \u8fd9\u4e2a\u95ee\u9898\u770b\u8d77\u6765\u7b80\u5355\u5b9e\u9645\u4e0a\u5f88\u70b8\u88c2\u554a\u2026\u2026<br \/>\u8fd9\u5c31\u662f\u4e2a Constrained N-rooks problem\uff0c\u53ef\u4ee5\u62bd\u8c61\u6210\u4e8c\u5206\u56fe\uff08 Bipartite graph \uff09\uff0c\u6c42\u6392\u5217\u7684\u4e2a\u6570\u7b49\u540c\u4e8e\u6c42\u4e8c\u5206\u56fe\u5b8c\u7f8e\u5339\u914d\uff08 Perfect matching \uff09\u7684\u4e2a\u6570\uff0c\u7b49\u540c\u4e8e\u628a\u77e9\u9635\u5217\u6210 0 \u548c 1\uff0c0 \u4ee3\u8868\u4e0d\u53ef\u653e\u7f6e\uff0c1 \u4ee3\u8868\u53ef\u653e\u7f6e\uff0c\u7136\u540e\u6c42\u8fd9\u4e2a\u77e9\u9635\u7684\u79ef\u548c\u5f0f\uff08 Permanent \uff09\u2026\u2026<br \/>\u6c42\u79ef\u548c\u5f0f\u9664\u4e86\u66b4\u529b\u4e4b\u5916\uff0c\u8fd8\u6709 Ryser formula\uff0c\u4ece StackExchange \u6284\u4e86\u4e2a\u5b9e\u73b0\u4ee3\u7801\u7c97\u7565\u6539\u4e86\u4e0b\uff08 Python\uff0c\u56e0\u4e3a\u6211\u61d2\uff09\uff1a<br \/>https:\/\/gist.github.com\/Raka-loah\/d11e340998d76829e7b8f81a36846683 <button onclick=\"lazyGist(this)\">\u00a0\u663e\u793a Gist \u4ee3\u7801\u00a0<\/button> <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"4920670\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : no1xsyzy <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             \u80fd\u4e0d\u80fd\u7528 DP \uff08\u4e0d\u662f\u5206\u9636\u6bb5 DP \uff09<br \/>\u6bcf\u6b21\u56fa\u5b9a M-1 \u4e2a\u76d2\u5b50\u7684\u6982\u7387\u6c42\u89e3\u67d0\u4e00\u76d2\u4e2d\u7684\u6982\u7387\uff0c\u76f4\u89c9\u4e0a\u662f\u6536\u655b\u7684\u6216\u8005\u9707\u8361\u7684                                                            <\/div>\n<\/p><\/div>\n<\/li>\n<li>\n","protected":false},"excerpt":{"rendered":"<p>\u5173\u4e8e\u76f2\u76d2\u6982\u7387\u7684\u8ba1\u7b97\u95ee\u9898 \u8cc7\u6df1\u5927\u4f6c &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[],"tags":[],"_links":{"self":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/276808"}],"collection":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=276808"}],"version-history":[{"count":0,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/276808\/revisions"}],"wp:attachment":[{"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=276808"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=276808"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=276808"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}