{"id":116762,"date":"2026-10-22T03:08:40","date_gmt":"2026-10-21T19:08:40","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/116762.html"},"modified":"2026-10-22T03:08:40","modified_gmt":"2026-10-21T19:08:40","slug":"%e7%ac%ac5%e7%af%87%ef%bc%88%e4%b8%8b%ef%bc%89%c2%b7-%e4%bd%bf%e7%94%a8-pyqt5-%e5%ae%9e%e7%8e%b0-2048-%e7%ae%97%e6%b3%95%e6%b1%82%e8%a7%a3%e7%89%88%ef%bc%9a%e5%8f%8c%e6%a0%8f-ai-%e6%b1%82%e8%a7%a3","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/116762.html","title":{"rendered":"\u7b2c5\u7bc7\uff08\u4e0b\uff09\u00b7 \u4f7f\u7528 PyQt5 \u5b9e\u73b0 2048 \u7b97\u6cd5\u6c42\u89e3\u7248\uff1a\u53cc\u680f AI \u6c42\u89e3\u5de5\u4f5c\u53f0\u4e0e\u4ea4\u4e92"},"content":{"rendered":"<h2>\u7b2c5\u7bc7&#xff08;\u4e0b&#xff09;\u00b7 \u4f7f\u7528 PyQt5 \u5b9e\u73b0 2048 \u7b97\u6cd5\u6c42\u89e3\u7248&#xff1a;\u53cc\u680f AI \u6c42\u89e3\u5de5\u4f5c\u53f0\u4e0e\u4ea4\u4e92<\/h2>\n<p>\u4e0a\u7bc7&#xff08;\u7b2c 5 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\u7248\u7684\u68cb\u76d8\u3001\u52a8\u753b\u3001\u64a4\u9500\u4e0e\u91cd\u505a\u3001\u5b58\u6863\u5747\u4e0d\u4fee\u6539\u3002<\/p>\n<hr \/>\n<h3>1. \u5e76\u53d1\u6a21\u578b\u4e0e\u7ebf\u7a0b\u751f\u547d\u5468\u671f<\/h3>\n<p>\u641c\u7d22\u8017\u65f6\u4e0d\u786e\u5b9a&#xff0c;\u82e5\u5728 UI \u7ebf\u7a0b\u5185\u540c\u6b65\u6267\u884c\u4f1a\u51bb\u7ed3\u754c\u9762\u3002\u672c\u8282\u7ed9\u51fa\u8be5\u5c42\u7684\u5b9a\u4e49\u3001\u4e0d\u53d8\u5f0f\u4e0e\u72b6\u6001\u673a\u3002<\/p>\n<p>\u4efb\u52a1\u8eab\u4efd\u4e3a\u5355\u8c03\u8ba1\u6570\u5668 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         id<\/p>\n<p>         job<\/p>\n<p>        \u2208<\/p>\n<p>        N<\/p>\n<p>       \\\\text{id}_{\\\\text{job}}\\\\in\\\\mathbb{N}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9805em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">id<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">job<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6889em\"><\/span><span class=\"mord mathbb\">N<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5728\u6bcf\u6b21\u300c\u5f00\u59cb\u6c42\u89e3\u300d\u4ee5\u53ca\u6c42\u89e3\u4e2d\u5207\u6362\u7b97\u6cd5\u65f6\u81ea\u589e&#xff0c;\u5f53\u524d\u4efb\u52a1\u6807\u8bc6\u8bb0\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         id<\/p>\n<p>         cur<\/p>\n<p>       \\\\text{id}_{\\\\text{cur}}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">id<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">cur<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u68cb\u76d8\u72b6\u6001\u8bb0\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        4<\/p>\n<p>        \u00d7<\/p>\n<p>        4<\/p>\n<p>       4\\\\times4<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">4<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">4<\/span><\/span><\/span><\/span><\/span> \u6574\u6570\u77e9\u9635 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        s<\/p>\n<p>       s<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">s<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u5feb\u7167\u7b7e\u540d\u5b9a\u4e49\u4e3a\u9010\u683c\u53d6\u6574\u7684\u5143\u7ec4<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03c3<\/p>\n<p>         (<\/p>\n<p>         s<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>           (<\/p>\n<p>           \u230a<\/p>\n<p>            s<\/p>\n<p>             i<\/p>\n<p>             j<\/p>\n<p>           \u230b<\/p>\n<p>           )<\/p>\n<p>           1<\/p>\n<p>           \u2264<\/p>\n<p>           i<\/p>\n<p>           ,<\/p>\n<p>           j<\/p>\n<p>           \u2264<\/p>\n<p>           4<\/p>\n<p>         .<\/p>\n<p>        \\\\sigma(s)&#061;\\\\left(\\\\lfloor s_{ij}\\\\rfloor\\\\right)_{1\\\\le i,j\\\\le 4}.<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.2219em;vertical-align: -0.4719em\"><\/span><span class=\"minner\"><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mopen\">\u230a<\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">ij<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">\u230b<\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1259em\"><span class=\"\" style=\"top: -2.3642em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mrel mtight\">\u2264<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mrel mtight\">\u2264<\/span><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4719em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">.<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u4e00\u6b21\u6c42\u89e3\u8bf7\u6c42\u5728\u6d3e\u53d1\u65f6\u8bb0\u5f55\u5176\u5feb\u7167 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03c3<\/p>\n<p>        (<\/p>\n<p>        r<\/p>\n<p>        )<\/p>\n<p>       \\\\sigma(r)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u7ed3\u679c\u643a\u5e26\u7684\u4efb\u52a1\u8eab\u4efd\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        id<\/p>\n<p>        (<\/p>\n<p>        r<\/p>\n<p>        )<\/p>\n<p>       \\\\text{id}(r)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord text\"><span class=\"mord\">id<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002\u7ed3\u679c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        r<\/p>\n<p>       r<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><\/span>&#xff08;\u6216\u5931\u8d25\u6d88\u606f&#xff09;\u88ab\u63a5\u7eb3\u5e76\u5141\u8bb8\u6539\u5199\u754c\u9762\u72b6\u6001\u7684\u5145\u8981\u6761\u4ef6\u4e3a<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         running<br \/>\n        \u2005\u200a<\/p>\n<p>         \u2227<br \/>\n        \u2005\u200a<\/p>\n<p>         id<\/p>\n<p>         (<\/p>\n<p>         r<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>          id<\/p>\n<p>          cur<\/p>\n<p>        \u2005\u200a<\/p>\n<p>         \u2227<br \/>\n        \u2005\u200a<\/p>\n<p>         \u03c3<\/p>\n<p>         (<\/p>\n<p>         r<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>         \u03c3<\/p>\n<p>         (<\/p>\n<p>          s<\/p>\n<p>          cur<\/p>\n<p>         )<\/p>\n<p>         ,<\/p>\n<p>        \\\\text{running}\\\\;\\\\wedge\\\\;\\\\text{id}(r)&#061;\\\\text{id}_{\\\\text{cur}}\\\\;\\\\wedge\\\\;\\\\sigma(r)&#061;\\\\sigma(s_{\\\\text{cur}}),<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8623em;vertical-align: -0.1944em\"><\/span><span class=\"mord text\"><span class=\"mord\">running<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2227<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord text\"><span class=\"mord\">id<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">id<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">cur<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2227<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">cur<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mpunct\">,<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         s<\/p>\n<p>         cur<\/p>\n<p>       s_{\\\\text{cur}}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">cur<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u5f53\u524d\u68cb\u76d8\u72b6\u6001\u3002\u4e09\u4e2a\u5408\u53d6\u9879\u5206\u522b\u6392\u9664&#xff1a;\u4efb\u52a1\u5df2\u505c\u6b62&#xff1b;\u7ed3\u679c\u5c5e\u4e8e\u5df2\u88ab\u4f5c\u5e9f\u7684\u65e7\u4efb\u52a1&#xff1b;\u7ed3\u679c\u6240\u4f9d\u636e\u7684\u68cb\u76d8\u5feb\u7167\u5df2\u88ab\u540e\u7eed\u64cd\u4f5c\u6539\u53d8\u3002\u4efb\u4e00\u6761\u4ef6\u4e0d\u6ee1\u8db3&#xff0c;\u7ed3\u679c\u5373\u88ab\u4e22\u5f03&#xff0c;\u4e14\u4e0d\u5f97\u89e6\u78b0\u5728\u9014\u6807\u5fd7\u4e0e\u8fdb\u5ea6\u6761\u3002<\/p>\n<table>\n<tr>\u7b26\u53f7\u542b\u4e49<\/tr>\n<tbody>\n<tr>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            id<\/p>\n<p>            job<\/p>\n<p>          \\\\text{id}_{\\\\text{job}}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9805em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">id<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">job<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u5355\u8c03\u9012\u589e\u7684\u4efb\u52a1\u8eab\u4efd<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            id<\/p>\n<p>            cur<\/p>\n<p>          \\\\text{id}_{\\\\text{cur}}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">id<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">cur<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u5f53\u524d\u88ab\u5141\u8bb8\u6539\u5199\u754c\u9762\u7684\u4efb\u52a1\u8eab\u4efd<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           s<\/p>\n<p>          s<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">s<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u5f53\u524d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           4<\/p>\n<p>           \u00d7<\/p>\n<p>           4<\/p>\n<p>          4\\\\times4<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">4<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">4<\/span><\/span><\/span><\/span><\/span> \u68cb\u76d8\u77e9\u9635<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u03c3<\/p>\n<p>           (<\/p>\n<p>           s<\/p>\n<p>           )<\/p>\n<p>          \\\\sigma(s)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u9010\u683c\u53d6\u6574\u540e\u7684\u68cb\u76d8\u5feb\u7167\u7b7e\u540d<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           R<\/p>\n<p>          R<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>_solver_running&#xff0c;\u662f\u5426\u5b58\u5728\u6d3b\u52a8\u4f1a\u8bdd<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           F<\/p>\n<p>          F<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">F<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>_solve_in_flight&#xff0c;\u662f\u5426\u5b58\u5728\u5728\u9014\u8bf7\u6c42<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u4ee5\u4e8c\u5143\u7ec4 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        (<\/p>\n<p>        R<\/p>\n<p>        ,<\/p>\n<p>        F<\/p>\n<p>        )<\/p>\n<p>        &#061;<\/p>\n<p>        (<\/p>\n<p>        _solver_running<\/p>\n<p>        ,<\/p>\n<p>        _solve_in_flight<\/p>\n<p>        )<\/p>\n<p>       (R,F)&#061;(\\\\texttt{\\\\_solver\\\\_running},\\\\texttt{\\\\_solve\\\\_in\\\\_flight})<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">F<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord text\"><span class=\"mord texttt\">_solver_running<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord texttt\">_solve_in_flight<\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u6807\u8bb0\u754c\u9762\u72b6\u6001&#xff0c;\u53d6\u503c\u4e0e\u89e6\u53d1\u6761\u4ef6\u5982\u4e0b\u3002<\/p>\n<table>\n<tr>\u72b6\u6001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           (<\/p>\n<p>           R<\/p>\n<p>           ,<\/p>\n<p>           F<\/p>\n<p>           )<\/p>\n<p>          (R,F)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">F<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u89e6\u53d1\u6761\u4ef6<\/tr>\n<tbody>\n<tr>\n<td>\u7a7a\u95f2<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           (<\/p>\n<p>           0<\/p>\n<p>           ,<\/p>\n<p>           0<\/p>\n<p>           )<\/p>\n<p>          (0,0)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u521d\u59cb\u6001&#xff0c;\u65e0\u6d3b\u52a8\u4f1a\u8bdd<\/td>\n<\/tr>\n<tr>\n<td>\u8ba1\u7b97\u4e2d<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           (<\/p>\n<p>           1<\/p>\n<p>           ,<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>          (1,1)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u5df2\u6d3e\u53d1\u8bf7\u6c42&#xff0c;\u7b49\u5f85\u7ed3\u679c<\/td>\n<\/tr>\n<tr>\n<td>\u5f85\u547d<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           (<\/p>\n<p>           1<\/p>\n<p>           ,<\/p>\n<p>           0<\/p>\n<p>           )<\/p>\n<p>          (1,0)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u5355\u6b65\u6a21\u5f0f\u4e0b\u5df2\u7ed9\u51fa\u5efa\u8bae\u5e76\u5c55\u793a\u9ad8\u4eae&#xff0c;\u7b49\u5f85\u7528\u6237\u8d70\u5b50<\/td>\n<\/tr>\n<tr>\n<td>\u505c\u6b62<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           (<\/p>\n<p>           0<\/p>\n<p>           ,<\/p>\n<p>           \u22c5<\/p>\n<p>           )<\/p>\n<p>          (0,\\\\cdot)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">\u22c5<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>_stop_solver \/ _finish_solver \u540e&#xff0c;\u4f1a\u8bdd\u5df2\u7ed3\u7b97<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u72b6\u6001\u8f6c\u79fb\u4e3a&#xff1a;\u7a7a\u95f2 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u2192<\/p>\n<p>       \\\\to<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.3669em\"><\/span><span class=\"mrel\">\u2192<\/span><\/span><\/span><\/span><\/span> \u8ba1\u7b97\u4e2d&#xff08;_start_solver \u6267\u884c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         id<\/p>\n<p>         cur<\/p>\n<p>        &#043;<\/p>\n<p>        &#043;<\/p>\n<p>       \\\\text{id}_{\\\\text{cur}}{&#043;}{&#043;}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">id<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">cur<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\">&#043;<\/span><\/span><span class=\"mord\"><span class=\"mord\">&#043;<\/span><\/span><\/span><\/span><\/span><\/span>\u3001\u65b0\u5efa\u53d6\u6d88\u4ee4\u724c&#xff0c;\u968f\u540e _request_decision&#xff09;&#xff1b;\u8ba1\u7b97\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u2192<\/p>\n<p>       \\\\to<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.3669em\"><\/span><span class=\"mrel\">\u2192<\/span><\/span><\/span><\/span><\/span> \u5f85\u547d&#xff08;\u5355\u6b65\u7ed3\u679c\u88ab\u63a5\u7eb3&#xff0c;\u5c55\u793a\u9ad8\u4eae\u4e14\u4fdd\u6301 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        R<\/p>\n<p>        &#061;<\/p>\n<p>        1<\/p>\n<p>       R&#061;1<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>&#xff09;&#xff1b;\u8ba1\u7b97\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u2192<\/p>\n<p>       \\\\to<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.3669em\"><\/span><span class=\"mrel\">\u2192<\/span><\/span><\/span><\/span><\/span> \u8ba1\u7b97\u4e2d&#xff08;\u81ea\u52a8\u8fde\u8d70&#xff0c;\u8d70\u5b50\u52a8\u753b\u7ed3\u675f\u540e\u518d\u6b21 _request_decision&#xff09;&#xff1b;\u5f85\u547d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u2192<\/p>\n<p>       \\\\to<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.3669em\"><\/span><span class=\"mrel\">\u2192<\/span><\/span><\/span><\/span><\/span> \u8ba1\u7b97\u4e2d&#xff08;\u7528\u6237\u8d70\u5b50\u52a8\u753b\u7ed3\u675f\u540e\u91cd\u7b97&#xff09;&#xff1b;\u8ba1\u7b97\u4e2d\u6216\u5f85\u547d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u2192<\/p>\n<p>       \\\\to<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.3669em\"><\/span><span class=\"mrel\">\u2192<\/span><\/span><\/span><\/span><\/span> \u505c\u6b62&#xff08;\u505c\u6b62\u6216\u7ed3\u675f&#xff09;\u3002\u6c42\u89e3\u4e2d\u5207\u6362\u7b97\u6cd5\u4e0d\u6539\u53d8\u72b6\u6001\u7c7b\u522b&#xff0c;\u4f46\u6ee1\u8db3 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         id<\/p>\n<p>         cur<\/p>\n<p>        &#043;<\/p>\n<p>        &#043;<\/p>\n<p>       \\\\text{id}_{\\\\text{cur}}{&#043;}{&#043;}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">id<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">cur<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\">&#043;<\/span><\/span><span class=\"mord\"><span class=\"mord\">&#043;<\/span><\/span><\/span><\/span><\/span><\/span> \u5e76\u5c06\u53d6\u6d88\u4ee4\u724c\u7f6e\u4f4d&#xff0c;\u968f\u540e\u91cd\u65b0\u8fdb\u5165\u8ba1\u7b97\u4e2d\u3002<\/p>\n<p>\u540e\u53f0\u6c42\u89e3\u5bf9\u8c61\u4e3a\u8fd0\u884c\u5728 QThread \u4e0a\u7684 SolverWorker&#xff0c;\u5176 solve \u5728\u8c03\u7528\u524d\u540e\u5404\u68c0\u67e5\u4e00\u6b21\u53d6\u6d88\u4ee4\u724c&#xff0c;\u5df2\u53d6\u6d88\u5219\u4e0d\u8fd4\u56de\u4efb\u4f55\u7ed3\u679c\u3002<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">SolverWorker<\/span><span class=\"token punctuation\">(<\/span>QObject<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    solved <span class=\"token operator\">&#061;<\/span> pyqtSignal<span class=\"token punctuation\">(<\/span><span class=\"token builtin\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">dict<\/span><span class=\"token punctuation\">)<\/span>          <span class=\"token comment\"># (job_id, result)<\/span><br \/>\n    failed <span class=\"token operator\">&#061;<\/span> pyqtSignal<span class=\"token punctuation\">(<\/span><span class=\"token builtin\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">str<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token decorator annotation punctuation\">&#064;pyqtSlot<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">list<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">dict<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">object<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">def<\/span> <span class=\"token function\">solve<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> job_id<span class=\"token punctuation\">,<\/span> grid<span class=\"token punctuation\">,<\/span> config<span class=\"token punctuation\">,<\/span> cancel_event<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> cancel_event <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span> <span class=\"token keyword\">and<\/span> cancel_event<span class=\"token punctuation\">.<\/span>is_set<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">return<\/span><br \/>\n        <span class=\"token keyword\">try<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            result <span class=\"token operator\">&#061;<\/span> solver<span class=\"token punctuation\">.<\/span>solve<span class=\"token punctuation\">(<\/span>grid<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">**<\/span>config<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> cancel_event <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span> <span class=\"token keyword\">and<\/span> cancel_event<span class=\"token punctuation\">.<\/span>is_set<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                <span class=\"token keyword\">return<\/span>                       <span class=\"token comment\"># \u6c42\u89e3\u671f\u95f4\u88ab\u53d6\u6d88&#xff1a;\u4e22\u5f03\u7ed3\u679c&#xff0c;\u4e0d emit<\/span><br \/>\n            self<span class=\"token punctuation\">.<\/span>solved<span class=\"token punctuation\">.<\/span>emit<span class=\"token punctuation\">(<\/span>job_id<span class=\"token punctuation\">,<\/span> result<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">except<\/span> Exception <span class=\"token keyword\">as<\/span> exc<span class=\"token punctuation\">:<\/span>             <span class=\"token comment\"># noqa: BLE001<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> cancel_event <span class=\"token keyword\">is<\/span> <span class=\"token boolean\">None<\/span> <span class=\"token keyword\">or<\/span> <span class=\"token keyword\">not<\/span> cancel_event<span class=\"token punctuation\">.<\/span>is_set<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                self<span class=\"token punctuation\">.<\/span>failed<span class=\"token punctuation\">.<\/span>emit<span class=\"token punctuation\">(<\/span>job_id<span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;%s: %s&#034;<\/span> <span class=\"token operator\">%<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token builtin\">type<\/span><span class=\"token punctuation\">(<\/span>exc<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>__name__<span class=\"token punctuation\">,<\/span> exc<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u5bf9\u7ed3\u679c\u7684\u6821\u9a8c\u96c6\u4e2d\u5728 _on_solver_result&#xff0c;\u5176\u5224\u5b9a\u987a\u5e8f\u5373\u4e0a\u6587\u5145\u8981\u6761\u4ef6\u7684\u6b21\u5e8f\u3002<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_on_solver_result<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> job_id<span class=\"token punctuation\">,<\/span> result<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token comment\"># \u5148\u6821\u9a8c&#xff1a;\u4efb\u52a1\u8fd0\u884c\u4e2d \u2227 job_id \u5339\u914d \u2227 \u68cb\u76d8\u5feb\u7167\u672a\u53d8&#xff1b;\u4e09\u8005\u5168\u901a\u8fc7\u624d\u6539\u5199\u72b6\u6001\u3002<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token keyword\">not<\/span> self<span class=\"token punctuation\">.<\/span>_solver_running<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> job_id <span class=\"token operator\">!&#061;<\/span> self<span class=\"token punctuation\">.<\/span>_job_id<span class=\"token punctuation\">:<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>_log_step<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u5df2\u5ffd\u7565\u8fc7\u671f\u6c42\u89e3\u7ed3\u679c&#xff08;job_id&#061;%s \u2260 %s&#xff09;\u3002&#034;<\/span> <span class=\"token operator\">%<\/span> <span class=\"token punctuation\">(<\/span>job_id<span class=\"token punctuation\">,<\/span> self<span class=\"token punctuation\">.<\/span>_job_id<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">return<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>_board_sig <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span> <span class=\"token keyword\">and<\/span> \\\\<br \/>\n            self<span class=\"token punctuation\">.<\/span>_board_signature<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>model<span class=\"token punctuation\">.<\/span>grid<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">!&#061;<\/span> self<span class=\"token punctuation\">.<\/span>_board_sig<span class=\"token punctuation\">:<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>_log_step<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u5df2\u5ffd\u7565\u8fc7\u671f\u6c42\u89e3\u7ed3\u679c&#xff08;\u68cb\u76d8\u5728\u6c42\u89e3\u671f\u95f4\u5df2\u53d8\u5316&#xff09;\u3002&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">return<\/span><\/p>\n<p>    self<span class=\"token punctuation\">.<\/span>_solve_in_flight <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">False<\/span>          <span class=\"token comment\"># \u6821\u9a8c\u901a\u8fc7&#xff0c;\u624d\u6536\u5c3e\u5728\u9014\u6807\u5fd7\u4e0e\u8fdb\u5ea6\u6761<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>solver_progress<span class=\"token punctuation\">.<\/span>setRange<span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">100<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>solver_progress<span class=\"token punctuation\">.<\/span>setValue<span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><\/p>\n<p>_on_solver_failed \u91c7\u7528\u540c\u4e00\u5224\u5b9a&#xff08;running \u2227 job_id \u5339\u914d&#xff09;&#xff0c;\u6545\u8fc7\u671f\u5931\u8d25\u540c\u6837\u4e0d\u6539\u53d8\u72b6\u6001\u3002\u7531\u4e8e\u7b97\u6cd5\u5185\u90e8\u7684 MCTS\u3001Expectimax\u3001Rollout \u4e0d\u505a\u53d6\u6d88\u8f6e\u8be2&#xff0c;\u5176\u53ef\u7ec8\u6b62\u6027\u6765\u81ea\u6709\u754c\u6267\u884c\u9884\u7b97&#xff1a;solver_2048 \u4e2d time_limit &#061; max(0.001, min(option, MAX_TIME_LIMIT))&#xff0c;\u800c MAX_TIME_LIMIT &#061; 2.0\u3002\u56e0\u6b64\u8be5\u673a\u5236\u63d0\u4f9b\u7684\u662f\u534f\u4f5c\u5f0f\u53d6\u6d88\u4e0e\u6709\u754c\u8fd4\u56de&#xff0c;\u800c\u975e\u5373\u65f6\u4e2d\u65ad\u3002<\/p>\n<p>\u7ebf\u7a0b\u751f\u547d\u5468\u671f\u9075\u5faa\u6309\u9700\u521b\u5efa\u3001\u7a7a\u95f2\u56de\u6536\u7684\u539f\u5219&#xff1a;\u4ea4\u4e92\u300c\u505c\u6b62\u300d\u4ec5\u505a\u77ed\u7b49\u5f85 SOLVER_STOP_WAIT_MS&#061;500&#xff0c;\u4ee5\u514d\u963b\u585e\u4e3b\u7ebf\u7a0b&#xff0c;\u672a\u5728\u9884\u7b97\u5185\u9000\u51fa\u7684\u7ebf\u7a0b\u8f6c\u5165\u9000\u4f11\u5217\u8868\u5e76\u4fdd\u7559\u5f15\u7528&#xff0c;\u5f85 finished \u4fe1\u53f7\u5230\u8fbe\u540e\u56de\u6536&#xff1b;\u5173\u95ed\u7a97\u53e3\u65f6\u5bf9\u5f53\u524d\u7ebf\u7a0b\u4e0e\u5168\u90e8\u9000\u4f11\u7ebf\u7a0b\u505a\u6709\u754c\u7b49\u5f85 SOLVER_CLOSE_WAIT_MS&#061;3500\u3002\u5168\u7a0b\u4e0d\u4f7f\u7528 QThread.terminate()\u3002\u7531\u6b21\u6570\u6216\u6df1\u5ea6\u7ea6\u675f\u7684\u914d\u7f6e\u5728\u56fa\u5b9a\u79cd\u5b50\u4e0b\u9010\u4f4d\u53ef\u590d\u73b0&#xff0c;\u4e00\u65e6\u5f15\u5165\u5899\u949f\u65f6\u95f4\u9884\u7b97\u5219\u4ec5\u4fdd\u8bc1\u540c\u673a\u540c\u53c2\u7a33\u5b9a\u3002solve() \u5185\u90e8\u4ee5 try\/except \u515c\u5e95\u8fd4\u56de\u5e26 error \u7684\u7ed3\u6784\u5316\u7ed3\u679c&#xff0c;\u5de5\u4f5c\u7ebf\u7a0b\u5f02\u5e38\u7ecf failed \u4fe1\u53f7\u4e0a\u62a5&#xff0c;\u754c\u9762\u4ec5\u63d0\u793a\u5e76\u505c\u6b62&#xff0c;\u4e0d\u5f71\u54cd\u539f\u6709\u529f\u80fd\u3002<\/p>\n<p>\u4e09\u79cd\u201c\u7ed3\u675f\u201d\u8def\u5f84\u7684\u8bed\u4e49\u4e0d\u540c&#xff1a;<\/p>\n<table>\n<tr>\u64cd\u4f5c\u72b6\u6001\u6539\u53d8\u5728\u9014\u7ed3\u679c\u7ebf\u7a0b\u5904\u7406<\/tr>\n<tbody>\n<tr>\n<td>\u7528\u6237\u300c\u505c\u6b62\u300d<\/td>\n<td>running&#061;False&#xff0c;\u7f6e\u53d6\u6d88\u4ee4\u724c<\/td>\n<td>\u5230\u8fbe\u540e\u56e0 running&#061;False \u4e22\u5f03<\/td>\n<td>\u77ed\u7b49\u5f85 500ms&#xff1b;\u672a\u9000\u51fa\u5219\u8f6c\u5165\u9000\u4f11\u5217\u8868<\/td>\n<\/tr>\n<tr>\n<td>\u6c42\u89e3\u4e2d\u5207\u6362\u7b97\u6cd5<\/td>\n<td>job_id&#043;&#043;&#xff0c;\u7f6e\u53d6\u6d88\u4ee4\u724c&#xff0c;\u91cd\u65b0\u8bf7\u6c42<\/td>\n<td>\u65e7 job_id \u7684\u7ed3\u679c\u88ab\u62d2\u7edd<\/td>\n<td>\u590d\u7528\u7ebf\u7a0b&#xff0c;\u4e0d\u91cd\u5efa<\/td>\n<\/tr>\n<tr>\n<td>\u5173\u95ed\u7a97\u53e3<\/td>\n<td>\u505c\u6b62\u5e76\u56de\u6536<\/td>\n<td>\u5168\u90e8\u4e22\u5f03<\/td>\n<td>\u5bf9\u5f53\u524d\u4e0e\u9000\u4f11\u7ebf\u7a0b\u505a 3500ms \u6709\u754c\u7b49\u5f85<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>V5 \u53ea\u6709\u201c\u505c\u6b62\u201d&#xff0c;\u6ca1\u6709\u201c\u6682\u505c\/\u7ee7\u7eed\u201d&#xff1b;\u6682\u505c\u662f V6 \u624d\u5f15\u5165\u7684\u8fd0\u884c\u63a7\u5236&#xff08;\u89c1\u7b2c 6 \u7bc7\u4e2d\/\u4e0b&#xff09;\u3002<\/p>\n<p>\u4f1a\u8bdd\u5386\u53f2\u5199\u5165 solver_results\/sessions.json \u91c7\u7528\u4e34\u65f6\u6587\u4ef6\u4e0e fsync\u3001.bak \u8f6c\u5b58\u3001\u540c\u76d8\u539f\u5b50\u66ff\u6362\u4e09\u6b65&#xff0c;\u5199\u5165\u4e2d\u65ad\u4e0d\u4f1a\u4ea7\u751f\u534a\u622a JSON&#xff0c;\u4e3b\u6587\u4ef6\u635f\u574f\u65f6\u53ef\u7531 .bak \u56de\u6eda\u3002<\/p>\n<p>tmp <span class=\"token operator\">&#061;<\/span> SESSIONS_FILE <span class=\"token operator\">&#043;<\/span> <span class=\"token string\">&#034;.tmp&#034;<\/span><span class=\"token punctuation\">;<\/span> bak <span class=\"token operator\">&#061;<\/span> SESSIONS_FILE <span class=\"token operator\">&#043;<\/span> <span class=\"token string\">&#034;.bak&#034;<\/span><br \/>\npayload <span class=\"token operator\">&#061;<\/span> json<span class=\"token punctuation\">.<\/span>dumps<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>_sessions<span class=\"token punctuation\">,<\/span> ensure_ascii<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">,<\/span> separators<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;,&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;:&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">with<\/span> <span class=\"token builtin\">open<\/span><span class=\"token punctuation\">(<\/span>tmp<span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;w&#034;<\/span><span class=\"token punctuation\">,<\/span> encoding<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;utf-8&#034;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">as<\/span> f<span class=\"token punctuation\">:<\/span><br \/>\n    f<span class=\"token punctuation\">.<\/span>write<span class=\"token punctuation\">(<\/span>payload<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> f<span class=\"token punctuation\">.<\/span>flush<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> os<span class=\"token punctuation\">.<\/span>fsync<span class=\"token punctuation\">(<\/span>f<span class=\"token punctuation\">.<\/span>fileno<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span>   <span class=\"token comment\"># \u843d\u76d8\u4e34\u65f6\u6587\u4ef6<\/span><br \/>\n<span class=\"token keyword\">if<\/span> os<span class=\"token punctuation\">.<\/span>path<span class=\"token punctuation\">.<\/span>exists<span class=\"token punctuation\">(<\/span>SESSIONS_FILE<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    os<span class=\"token punctuation\">.<\/span>replace<span class=\"token punctuation\">(<\/span>SESSIONS_FILE<span class=\"token punctuation\">,<\/span> bak<span class=\"token punctuation\">)<\/span>                      <span class=\"token comment\"># \u65e7\u7248\u8f6c\u5b58\u4e3a\u56de\u6eda\u70b9<\/span><br \/>\nos<span class=\"token punctuation\">.<\/span>replace<span class=\"token punctuation\">(<\/span>tmp<span class=\"token punctuation\">,<\/span> SESSIONS_FILE<span class=\"token punctuation\">)<\/span>                          <span class=\"token comment\"># \u540c\u76d8\u539f\u5b50\u66ff\u6362<\/span><\/p>\n<p>\u4e3a\u4ec0\u4e48\u7ed3\u679c\u5fc5\u987b\u5e26\u4efb\u52a1\u8eab\u4efd<\/p>\n<p>\u4e00\u6b21\u6c42\u89e3\u8bf7\u6c42\u53d1\u51fa\u540e&#xff0c;\u7528\u6237\u53ef\u80fd\u79fb\u52a8\u68cb\u76d8\u3001\u5207\u6362\u7b97\u6cd5\u6216\u505c\u6b62\u4efb\u52a1\u3002\u5de5\u4f5c\u7ebf\u7a0b\u968f\u540e\u8fd4\u56de\u7684\u65b9\u5411&#xff0c;\u5373\u4f7f\u672c\u8eab\u5408\u6cd5&#xff0c;\u4e5f\u53ef\u80fd\u5df2\u7ecf\u4e0d\u5c5e\u4e8e\u5f53\u524d\u68cb\u76d8\u3002\u63a5\u6536\u7aef\u5fc5\u987b\u5728\u4fee\u6539\u201c\u6b63\u5728\u6c42\u89e3\u201d\u3001\u8fdb\u5ea6\u6761\u6216\u65b9\u5411\u63d0\u793a\u4e4b\u524d\u68c0\u67e5\u4efb\u52a1\u8eab\u4efd\u548c\u68cb\u76d8\u7b7e\u540d&#xff1b;\u8fc7\u671f\u7ed3\u679c\u53ea\u80fd\u8bb0\u5f55\u8bca\u65ad\u4fe1\u606f&#xff0c;\u4e0d\u80fd\u6539\u5199\u65b0\u4f1a\u8bdd\u7684\u8fd0\u884c\u72b6\u6001\u3002<\/p>\n<p>\u8fd9\u4e5f\u662f\u672c\u7bc7 QThread \u5b9e\u73b0\u4e2d\u201c\u53d6\u6d88\u4e0d\u662f\u5f3a\u5236\u4e2d\u65ad\u201d\u7684\u539f\u56e0&#xff1a;\u8ba1\u7b97\u4e2d\u7684\u641c\u7d22\u53ef\u80fd\u7ee7\u7eed\u5230\u65f6\u95f4\u9884\u7b97\u7ed3\u675f&#xff0c;\u4f46\u7ed3\u679c\u53ef\u4ee5\u5728\u63a5\u6536\u5904\u5b89\u5168\u4e22\u5f03\u3002<\/p>\n<hr \/>\n<h3>2. V5.1 \u754c\u9762&#xff1a;\u5de6\u53f3\u53cc\u680f\u300cAI \u6c42\u89e3\u5de5\u4f5c\u53f0\u300d<\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261021190838-6ad90db6c5b07.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>V5.1 \u5c55\u5f00\u6001&#xff1a;\u5de6\u4fa7\u6e38\u620f\u53f0 &#043; \u53f3\u4fa7 AI \u6c42\u89e3\u5de5\u4f5c\u53f0<\/p>\n<p>\u524d\u51e0\u7bc7\u7684\u68cb\u76d8\u4e3a\u5355\u9875\u6e38\u620f&#xff0c;\u82e5\u5c06\u6c42\u89e3\u9762\u677f\u5806\u53e0\u4e8e\u4e0b\u65b9\u4f1a\u663e\u62e5\u6324\u3002V5.1 \u5c06\u6e38\u620f\u9875\u6539\u4e3a\u5de6\u53f3\u53cc\u680f&#xff1a;\u5de6\u4fa7\u4e3a\u7b2c 4 \u7248\u6e38\u620f\u53f0&#xff0c;\u5373\u68cb\u76d8\u3001\u5206\u6570\u4e0e\u56db\u4e2a\u6309\u94ae&#xff1b;\u53f3\u4fa7\u4e3a AI \u6c42\u89e3\u5de5\u4f5c\u53f0&#xff1b;\u4e8c\u8005\u7531\u6c34\u5e73 QSplitter \u627f\u8f7d&#xff0c;\u53ef\u62d6\u52a8\u4e2d\u7f1d\u8c03\u6574\u5bbd\u5ea6\u3002<\/p>\n<p>\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510<br \/>\n\u2502 2048       [\u5206\u6570][\u6700\u9ad8\u5206] \u2502 [\u203a] AI \u6c42\u89e3                  \u2502  \u2190 \u5934\u90e8&#xff1a;\u7ec6\u7ebf\u7bad\u5934 &#043; \u6807\u9898<br \/>\n\u2502 \u5408\u5e76\u6570\u5b57&#xff0c;\u62fc\u51fa 2048       \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524<br \/>\n\u2502 \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510 \u2502 \u7b97\u6cd5     [Expectimax     \u25be]  \u2502<br \/>\n\u2502 \u2502   \u68cb\u76d8&#xff08;\u5e73\u6ed1\u52a8\u753b&#xff09;    \u2502 \u2502 \u8fd0\u884c\u65b9\u5f0f [\u6807\u51c6           \u25be]  \u2502<br \/>\n\u2502 \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518 \u2502 \u6a21\u5f0f     [\u81ea\u52a8\u8fde\u8d70       \u25be]  \u2502<br \/>\n\u2502 [\u64a4\u9500][\u91cd\u505a][AI\u6c42\u89e3][\u65b0\u6e38\u620f]\u2502 [\u5f00\u59cb\u6c42\u89e3]   \u2593\u2593\u2593\u2591&#xff08;\u5fd9\u6001&#xff09;    \u2502<br \/>\n\u2502                          \u2502 \u6b65\u6570 3 \u2502 \u5f53\u524d\u52a8\u4f5c \u5411\u5de6        \u2502<br \/>\n\u2502                          \u2502 \u8bc4\u4f30\u503c \u2026\u2502 \u5f53\u524d\u5206\u6570 \u2026          \u2502<br \/>\n\u2502                          \u2502 \u250c \u65e5\u5fd7&#xff08;\u968f\u9ad8\u5ea6\u4f38\u7f29&#xff09;\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\u2502<br \/>\n\u2502                          \u2502 \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\u2502<br \/>\n\u2502                          \u2502 [\u5bfc\u51fa\u7ed3\u679c][\u67e5\u770b\u8be6\u60c5][\u6027\u80fd\u5bf9\u6bd4] \u2502<br \/>\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<br \/>\n        \u2191 \u6c34\u5e73 QSplitter&#xff1a;\u62d6\u52a8\u4e2d\u7f1d\u8c03\u6574\u5de6\u53f3\u5bbd\u5ea6<\/p>\n<p>\u5e03\u5c40\u53ea\u505a\u4e00\u4ef6\u4e8b&#xff1a;\u628a\u7b2c 4 \u7248\u6e38\u620f\u9875\u539f\u6837\u653e\u8fdb\u5de6\u680f&#xff0c;\u5e76\u56fa\u5b9a\u4e3a 500 px&#xff1b;\u7a97\u53e3\u53d8\u5bbd\u65f6\u591a\u4f59\u7a7a\u95f4\u6210\u4e3a\u5de6\u680f\u5185\u90e8\u7559\u767d&#xff0c;\u800c\u4e0d\u662f\u62c9\u4f38\u68cb\u76d8\u3002\u53f3\u680f\u5bbd\u5ea6\u7531 QSplitter \u8c03\u6574&#xff0c;\u7528\u6237\u62d6\u52a8\u540e\u4fdd\u7559\u5176\u9009\u62e9\u3002<\/p>\n<p>\u9762\u677f\u5b9e\u65f6\u663e\u793a\u72b6\u6001\u6587\u6848\u4e0e\u4e24\u5217\u6307\u6807&#xff0c;\u5373\u6b65\u6570\u3001\u5f53\u524d\u52a8\u4f5c\u3001\u8bc4\u4f30\u503c\u3001\u5f53\u524d\u5206\u6570\u3001\u6700\u5927\u74e6\u7247\u4e0e\u7d2f\u8ba1\u8017\u65f6\u3002\u6b65\u9aa4\u65e5\u5fd7\u9010\u6761\u8ffd\u52a0\u65b9\u5411\u3001\u8bc4\u4f30\u5206\u3001\u5206\u6570\u3001\u6700\u5927\u74e6\u7247\u3001\u8017\u65f6\u4e0e\u662f\u5426\u8d85\u65f6&#xff1b;\u7528\u6237\u4e0a\u6eda\u67e5\u770b\u5386\u53f2\u65f6\u4e0d\u4f1a\u88ab\u5f3a\u5236\u62c9\u56de\u5e95\u90e8\u3002\u6bcf\u4e2a\u4f1a\u8bdd\u53ef\u5bfc\u51fa JSON \u4e0e CSV&#xff08;UTF-8-BOM&#xff0c;\u4fbf\u4e8e Excel \u76f4\u63a5\u6253\u5f00&#xff09;\u3001\u67e5\u770b\u8be6\u60c5&#xff0c;\u5e76\u652f\u6301\u591a\u4f1a\u8bdd\u6027\u80fd\u5bf9\u6bd4\u3002<\/p>\n<p>\u6a21\u5f0f \u4e0b\u62c9\u63d0\u4f9b\u300c\u81ea\u52a8\u8fde\u8d70\u300d\u4e0e\u300c\u5355\u6b65\u5efa\u8bae\u300d\u4e24\u79cd\u8fd0\u884c\u65b9\u5f0f\u3002\u81ea\u52a8\u8fde\u8d70\u7531 AI \u9a71\u52a8\u771f\u5b9e\u68cb\u76d8&#xff0c;\u590d\u7528\u7b2c 4 \u7248\u7684\u79fb\u52a8\u4e0e\u52a8\u753b\u8def\u5f84&#xff1b;\u5355\u6b65\u5efa\u8bae\u4e3a\u5e38\u9a7b\u8ddf\u968f\u9884\u6d4b&#xff08;\u89c1 \u00a74.2&#xff09;\u3002\u4e24\u8005\u5747\u5728\u68cb\u76d8\u539f\u751f\u8fb9\u6846\u5185\u9ad8\u4eae\u63a8\u8350\u65b9\u5411&#xff08;\u89c1 \u00a75&#xff09;&#xff0c;\u4e14\u6c42\u89e3\u8fdb\u884c\u4e2d\u53ef\u968f\u65f6\u5207\u6362\u7b97\u6cd5&#xff08;\u89c1 \u00a74.3&#xff09;\u3002<\/p>\n<p>\u5173\u952e\u5b9e\u73b0\u5982\u4e0b&#xff0c;_restructure_two_columns \u5728\u4e0d\u91cd\u5efa\u68cb\u76d8\u4e0e\u63a7\u4ef6\u7684\u524d\u63d0\u4e0b&#xff0c;\u628a\u7b2c 4 \u7248\u9875\u9762\u6574\u4f53\u4f5c\u4e3a\u5de6\u680f\u3002<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_restructure_two_columns<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    game_page <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>stack<span class=\"token punctuation\">.<\/span>widget<span class=\"token punctuation\">(<\/span>v4<span class=\"token punctuation\">.<\/span>GAME_PAGE<span class=\"token punctuation\">)<\/span>      <span class=\"token comment\"># \u590d\u7528\u7b2c 4 \u7248\u9875\u9762\u5bf9\u8c61&#xff0c;\u4e0d\u91cd\u5efa\u63a7\u4ef6<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>stack<span class=\"token punctuation\">.<\/span>removeWidget<span class=\"token punctuation\">(<\/span>game_page<span class=\"token punctuation\">)<\/span>               <span class=\"token comment\"># \u4ece\u5806\u53e0\u9875\u53d6\u51fa&#xff08;\u5bf9\u8c61\u4fdd\u7559&#xff0c;\u672a\u9500\u6bc1&#xff09;<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>splitter <span class=\"token operator\">&#061;<\/span> QSplitter<span class=\"token punctuation\">(<\/span>Qt<span class=\"token punctuation\">.<\/span>Horizontal<span class=\"token punctuation\">)<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>splitter<span class=\"token punctuation\">.<\/span>setHandleWidth<span class=\"token punctuation\">(<\/span>SPLITTER_HANDLE<span class=\"token punctuation\">)<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>splitter<span class=\"token punctuation\">.<\/span>setChildrenCollapsible<span class=\"token punctuation\">(<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    game_page<span class=\"token punctuation\">.<\/span>setFixedWidth<span class=\"token punctuation\">(<\/span>WINDOW_WIDTH<span class=\"token punctuation\">)<\/span>            <span class=\"token comment\"># \u5de6\u680f\u56fa\u5b9a 500px<\/span><br \/>\n    holder <span class=\"token operator\">&#061;<\/span> QWidget<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> hbox <span class=\"token operator\">&#061;<\/span> QHBoxLayout<span class=\"token punctuation\">(<\/span>holder<span class=\"token punctuation\">)<\/span><br \/>\n    hbox<span class=\"token punctuation\">.<\/span>addWidget<span class=\"token punctuation\">(<\/span>game_page<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> hbox<span class=\"token punctuation\">.<\/span>addStretch<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>    <span class=\"token comment\"># \u591a\u4f59\u5bbd\u5ea6\u5728 holder \u5185\u5438\u6536<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>splitter<span class=\"token punctuation\">.<\/span>addWidget<span class=\"token punctuation\">(<\/span>holder<span class=\"token punctuation\">)<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>_build_solver_panel<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>splitter<span class=\"token punctuation\">.<\/span>addWidget<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>solver_container<span class=\"token punctuation\">)<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>splitter<span class=\"token punctuation\">.<\/span>setStretchFactor<span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span>             <span class=\"token comment\"># \u65b0\u589e\u7a7a\u95f4\u4e3b\u8981\u7ed9\u53f3\u680f<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>splitter<span class=\"token punctuation\">.<\/span>setStretchFactor<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>splitter<span class=\"token punctuation\">.<\/span>setSizes<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span>WINDOW_WIDTH<span class=\"token punctuation\">,<\/span> SOLVER_W_DEFAULT<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u5173\u952e\u5e38\u91cf&#xff1a;WINDOW_WIDTH&#061;500\u3001SOLVER_W_DEFAULT&#061;400\u3001SPLITTER_HANDLE&#061;6\u3002<\/p>\n<hr \/>\n<h3>3. \u6298\u53e0\u4e0e\u8d34\u8fb9\u628a\u624b<\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261021190839-6ad90db73a54d.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>V5.1 \u6298\u53e0\u6001&#xff1a;\u6574\u4f53\u9690\u85cf\u53f3\u680f&#xff0c;\u53f3\u4fa7\u8d34\u8fb9\u534a\u80f6\u56ca\u628a\u624b<\/p>\n<p>V5.1 \u7684\u6298\u53e0\u4e3a\u6574\u4f53\u9690\u85cf\u53f3\u4fa7\u5de5\u4f5c\u53f0&#xff1a;\u4e3b\u7a97\u53e3\u540c\u6b65\u6536\u7a84\u56de\u7eaf\u6e38\u620f\u5bbd\u5ea6 500 px&#xff0c;\u4e0d\u4fdd\u7559\u4efb\u4f55\u7a84\u6761\u6216\u7a7a\u767d&#xff1b;\u6c42\u89e3\u7684\u4e1a\u52a1\u5bf9\u8c61&#xff08;\u7ebf\u7a0b\u3001\u4f1a\u8bdd\u3001\u65e5\u5fd7&#xff09;\u5168\u7a0b\u4fdd\u7559&#xff0c;\u9690\u85cf\u671f\u95f4\u4e0d\u505c\u6b62\u6c42\u89e3\u3002<\/p>\n<p>\u5c55\u5f00\u6709\u4e24\u4e2a\u5165\u53e3&#xff0c;\u4e8c\u8005\u5171\u7528\u540c\u4e00\u65b9\u6cd5\u4e14\u53ea\u8d1f\u8d23\u6253\u5f00\u9762\u677f&#xff0c;\u4e0d\u542f\u52a8\u7b97\u6cd5&#xff1a;\u5de6\u680f\u5e95\u90e8\u7684 AI \u6c42\u89e3 \u6309\u94ae&#xff0c;\u4ee5\u53ca\u6298\u53e0\u6001\u4e0b\u51fa\u73b0\u4e8e\u7a97\u53e3\u53f3\u4fa7\u8fb9\u7f18\u7684\u8d34\u8fb9\u534a\u80f6\u56ca\u628a\u624b\u3002<\/p>\n<p>\u4e24\u4e2a\u65b9\u5411\u6307\u793a\u5916\u89c2\u4e00\u81f4&#xff1a;\u5c55\u5f00\u6001\u6807\u9898\u680f\u4e3a\u65b9\u5f62\u7ec6\u7ebf Chevron \u6309\u94ae&#xff0c;\u6298\u53e0\u6001\u4e3a\u5de6\u4fa7\u5706\u89d2\u3001\u53f3\u4fa7\u76f4\u8fb9\u7684\u534a\u80f6\u56ca\u628a\u624b\u3002\u4e3a\u907f\u5f00 Windows \u9ed8\u8ba4\u56fe\u6807\u7684\u7eff\u8272\u5706\u70b9&#xff0c;\u4e24\u8005\u5747\u4ee5 QPainter \u81ea\u7ed8&#xff1a;<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">SolverEdgeHandle<\/span><span class=\"token punctuation\">(<\/span>QWidget<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;\u6298\u53e0\u6001\u53f3\u4fa7\u8d34\u8fb9\u534a\u80f6\u56ca\u5c55\u5f00\u628a\u624b&#xff1a;\u5de6\u4fa7\u5706\u89d2 &#043; \u53f3\u4fa7\u76f4\u8fb9 &#043; \u7ec6\u7ebf\u5de6\u5411 Chevron\u3002&#034;&#034;&#034;<\/span><\/p>\n<p>    clicked <span class=\"token operator\">&#061;<\/span> pyqtSignal<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">_body_path<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        x0<span class=\"token punctuation\">,<\/span> y0 <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0.5<\/span><br \/>\n        x1<span class=\"token punctuation\">,<\/span> y1 <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>width<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">0.5<\/span><span class=\"token punctuation\">,<\/span> self<span class=\"token punctuation\">.<\/span>height<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">0.5<\/span><br \/>\n        r <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">min<\/span><span class=\"token punctuation\">(<\/span>EDGE_HANDLE_RADIUS<span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">(<\/span>y1 <span class=\"token operator\">&#8211;<\/span> y0<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">2.0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">(<\/span>x1 <span class=\"token operator\">&#8211;<\/span> x0<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        path <span class=\"token operator\">&#061;<\/span> QPainterPath<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        path<span class=\"token punctuation\">.<\/span>moveTo<span class=\"token punctuation\">(<\/span>x1<span class=\"token punctuation\">,<\/span> y0<span class=\"token punctuation\">)<\/span>                              <span class=\"token comment\"># \u53f3\u4e0a<\/span><br \/>\n        path<span class=\"token punctuation\">.<\/span>lineTo<span class=\"token punctuation\">(<\/span>x0 <span class=\"token operator\">&#043;<\/span> r<span class=\"token punctuation\">,<\/span> y0<span class=\"token punctuation\">)<\/span><br \/>\n        path<span class=\"token punctuation\">.<\/span>arcTo<span class=\"token punctuation\">(<\/span>x0<span class=\"token punctuation\">,<\/span> y0<span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> r<span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> r<span class=\"token punctuation\">,<\/span> <span class=\"token number\">90<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">90<\/span><span class=\"token punctuation\">)<\/span>          <span class=\"token comment\"># \u5de6\u4e0a\u5706\u89d2<\/span><br \/>\n        path<span class=\"token punctuation\">.<\/span>lineTo<span class=\"token punctuation\">(<\/span>x0<span class=\"token punctuation\">,<\/span> y1 <span class=\"token operator\">&#8211;<\/span> r<span class=\"token punctuation\">)<\/span><br \/>\n        path<span class=\"token punctuation\">.<\/span>arcTo<span class=\"token punctuation\">(<\/span>x0<span class=\"token punctuation\">,<\/span> y1 <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> r<span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> r<span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> r<span class=\"token punctuation\">,<\/span> <span class=\"token number\">180<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">90<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token comment\"># \u5de6\u4e0b\u5706\u89d2<\/span><br \/>\n        path<span class=\"token punctuation\">.<\/span>lineTo<span class=\"token punctuation\">(<\/span>x1<span class=\"token punctuation\">,<\/span> y1<span class=\"token punctuation\">)<\/span>                              <span class=\"token comment\"># \u53f3\u4fa7\u76f4\u8fb9<\/span><br \/>\n        path<span class=\"token punctuation\">.<\/span>closeSubpath<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> path<\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">paintEvent<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> event<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        painter <span class=\"token operator\">&#061;<\/span> QPainter<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">)<\/span><br \/>\n        painter<span class=\"token punctuation\">.<\/span>setRenderHint<span class=\"token punctuation\">(<\/span>QPainter<span class=\"token punctuation\">.<\/span>Antialiasing<span class=\"token punctuation\">,<\/span> <span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        painter<span class=\"token punctuation\">.<\/span>setPen<span class=\"token punctuation\">(<\/span>Qt<span class=\"token punctuation\">.<\/span>NoPen<span class=\"token punctuation\">)<\/span><br \/>\n        painter<span class=\"token punctuation\">.<\/span>setBrush<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>_palette<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>             <span class=\"token comment\"># hover \/ pressed \/ disabled \u4e09\u6001\u80cc\u666f<\/span><br \/>\n        painter<span class=\"token punctuation\">.<\/span>drawPath<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>_body_path<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token comment\"># \u53ea\u63cf\u5de6 \/ \u4e0a \/ \u4e0b\u8fb9\u6846&#xff0c;\u53f3\u4fa7\u76f4\u8fb9\u4e0d\u63cf\u8fb9&#xff0c;\u7d27\u8d34\u7a97\u53e3\u53f3\u7f18<\/span><br \/>\n        <span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><\/p>\n<p>\u628a\u624b\u4ee5 overlay \u5f62\u5f0f\u6302\u8f7d\u4e8e\u4e3b\u7a97\u53e3&#xff0c;\u4e0d\u52a0\u5165\u4efb\u4f55\u5e03\u5c40&#xff0c;\u6545\u4e0d\u5360\u7528 QSplitter \u7684\u5bbd\u5ea6\u5206\u914d&#xff1b;\u5176\u5b9a\u4f4d\u4ee5\u5bbf\u4e3b\u5185\u5bb9\u5bbd\u51cf\u53bb\u628a\u624b\u5bbd\u8d34\u53f3\u7f18\u3001\u9876\u90e8\u53d6\u56fa\u5b9a\u951a\u70b9&#xff0c;\u65e2\u4e0d\u4f9d\u8d56\u68cb\u76d8\u9ad8\u5ea6&#xff0c;\u4e5f\u4e0d\u906e\u6321\u68cb\u76d8\u3001\u5206\u6570\u5361\u4e0e\u6309\u94ae&#xff1a;<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_position_solver_edge_handle<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    handle <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>solver_edge_handle<br \/>\n    handle<span class=\"token punctuation\">.<\/span>move<span class=\"token punctuation\">(<\/span><span class=\"token builtin\">max<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> self<span class=\"token punctuation\">.<\/span>width<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> EDGE_HANDLE_W<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> EDGE_HANDLE_TOP<span class=\"token punctuation\">)<\/span>   <span class=\"token comment\"># \u8d34\u53f3\u7f18<\/span><\/p>\n<p>\u76f8\u5173\u5e38\u91cf\u4e3a EDGE_HANDLE_W&#061;22\u3001EDGE_HANDLE_H&#061;40\u3001EDGE_HANDLE_RADIUS&#061;9\u3001EDGE_HANDLE_TOP&#061;150\u3002\u7a97\u53e3 resizeEvent \u65f6\u91cd\u65b0\u5b9a\u4f4d&#xff0c;\u6700\u5927\u5316\u4e0e\u7f29\u653e\u65f6\u5747\u4fdd\u6301\u8d34\u8fb9\u3002<\/p>\n<p>\u6298\u53e0\u4e0e\u5c55\u5f00\u53ea\u6539\u53d8\u53ef\u89c1\u6027\u4e0e\u7a97\u53e3\u51e0\u4f55&#xff0c;\u4e0d\u89e6\u78b0\u6c42\u89e3\u72b6\u6001&#xff0c;\u5176\u9632\u91cd\u5165\u4e0e\u51e0\u4f55\u5904\u7406\u7531 _set_solver_collapsed \u4e0e _do_collapse \u5b8c\u6210\u3002<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_set_solver_collapsed<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> collapsed<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>_solver_transition <span class=\"token keyword\">or<\/span> collapsed <span class=\"token operator\">&#061;&#061;<\/span> self<span class=\"token punctuation\">.<\/span>_solver_collapsed<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span>                                   <span class=\"token comment\"># \u9632\u91cd\u5165&#xff1a;\u8fc7\u6e21\u671f\u95f4\u5ffd\u7565\u91cd\u590d\u8c03\u7528<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>_solver_transition <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><br \/>\n    <span class=\"token keyword\">try<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>_do_collapse<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">if<\/span> collapsed <span class=\"token keyword\">else<\/span> self<span class=\"token punctuation\">.<\/span>_do_expand<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">finally<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>_solver_transition <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">False<\/span><\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_do_collapse<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>_is_normal_window<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>_expanded_geometry <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>geometry<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>   <span class=\"token comment\"># \u5907\u4efd\u6298\u53e0\u524d\u6574\u7a97\u51e0\u4f55<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>_solver_collapsed <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>solver_container<span class=\"token punctuation\">.<\/span>hide<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>                    <span class=\"token comment\"># \u6574\u4f53\u9690\u85cf\u53f3\u680f&#xff0c;\u4e0d\u4fdd\u7559\u7a84\u6761<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>_set_splitter_handles_enabled<span class=\"token punctuation\">(<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>_is_normal_window<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">and<\/span> self<span class=\"token punctuation\">.<\/span>width<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&gt;<\/span> COLLAPSED_WIDTH<span class=\"token punctuation\">:<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>resize<span class=\"token punctuation\">(<\/span>COLLAPSED_WIDTH<span class=\"token punctuation\">,<\/span> self<span class=\"token punctuation\">.<\/span>height<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token comment\"># \u6536\u7a84\u56de\u7eaf\u6e38\u620f\u5bbd\u5ea6 500px<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>_show_solver_edge_handle<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>                 <span class=\"token comment\"># \u663e\u793a\u8d34\u8fb9\u628a\u624b<\/span><br \/>\n    QTimer<span class=\"token punctuation\">.<\/span>singleShot<span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> self<span class=\"token punctuation\">.<\/span>_apply_splitter_sizes<span class=\"token punctuation\">)<\/span><\/p>\n<p>_solver_transition \u6807\u5fd7\u4fdd\u8bc1\u6298\u53e0\u4e0e\u5c55\u5f00\u4e92\u65a5&#xff0c;\u907f\u514d\u4e92\u76f8\u89e6\u53d1&#xff1b;_do_collapse \u4ec5\u64cd\u4f5c\u63a7\u4ef6\u53ef\u89c1\u6027\u3001\u5206\u9694\u6761\u4e0e\u6574\u7a97\u51e0\u4f55&#xff0c;\u4e0d\u6d89\u53ca worker\u3001\u4f1a\u8bdd\u4e0e\u65e5\u5fd7&#xff0c;\u6545\u9690\u85cf\u671f\u95f4\u540e\u53f0\u6c42\u89e3\u7ee7\u7eed\u8fd0\u884c\u3002COLLAPSED_WIDTH&#061;500&#xff0c;\u5373\u6298\u53e0\u6001\u6574\u7a97\u5bbd\u5ea6\u7b49\u4e8e\u5de6\u680f\u5bbd\u5ea6\u3002_do_expand \u5148\u9690\u85cf\u628a\u624b&#xff0c;\u518d\u6062\u590d\u51e0\u4f55\u4e0e\u53f3\u680f\u5e76\u91cd\u65b0\u6e32\u67d3\u6307\u6807&#xff1b;\u63a7\u4ef6\u5b9e\u4f8b\u672a\u9500\u6bc1&#xff0c;\u914d\u7f6e\u3001\u53c2\u6570\u4e0e\u65e5\u5fd7\u968f\u4e4b\u4fdd\u7559\u3002<\/p>\n<hr \/>\n<h3>4. \u4ea4\u4e92\u4e0e\u5de5\u4f5c\u6d41<\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261021190839-6ad90db751b87.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>V5.1 \u542f\u52a8\u9875&#xff1a;\u7ee7\u7eed\u4e0a\u4e00\u5c40 \/ \u5f00\u59cb\u65b0\u6e38\u620f<\/p>\n<h4>4.1 \u65b9\u5411\u952e\u7684\u7edf\u4e00\u8def\u7531<\/h4>\n<p>\u65b9\u5411\u952e\u539f\u672c\u4ec5\u5728\u83b7\u5f97\u7126\u70b9\u7684\u5b50\u63a7\u4ef6\u5ffd\u7565\u5b83\u65f6\u624d\u5230\u8fbe MainWindow.keyPressEvent&#xff1b;\u800c QComboBox \u4f1a\u6d88\u8d39 Up\/Down \u4ee5\u6539\u9009\u9879&#xff0c;QAbstractButton \u4f1a\u6d88\u8d39\u56db\u65b9\u5411\u952e\u505a autoExclusive \u5bfc\u822a\u3002\u56e0\u6b64\u7126\u70b9\u4e00\u65e6\u843d\u5728\u7b97\u6cd5\u6216\u6a21\u5f0f\u4e0b\u62c9\u6846\u3001\u6309\u94ae\u4e0a&#xff0c;\u68cb\u76d8\u5373\u4e0d\u54cd\u5e94\u65b9\u5411\u952e&#xff0c;\u751a\u81f3\u8bef\u6539\u4e0b\u62c9\u9009\u9879\u3002<\/p>\n<p>\u505a\u6cd5\u662f\u5728\u5e94\u7528\u5185&#xff08;\u800c\u975e\u7cfb\u7edf\u7ea7\u94a9\u5b50&#xff09;\u5b89\u88c5\u4e8b\u4ef6\u8fc7\u6ee4\u5668 _ArrowKeyRouter&#xff0c;\u5728\u4e8b\u4ef6\u5230\u8fbe\u4efb\u4f55\u5b50\u63a7\u4ef6\u4e4b\u524d&#xff0c;\u5c06\u56db\u4e2a\u65b9\u5411\u952e\u8def\u7531\u5230\u6e38\u620f\u79fb\u52a8\u63a7\u5236\u5668\u5e76\u6d88\u8d39&#xff1a;<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">_ArrowKeyRouter<\/span><span class=\"token punctuation\">(<\/span>QObject<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">def<\/span> <span class=\"token function\">eventFilter<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> obj<span class=\"token punctuation\">,<\/span> event<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> event<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">type<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> QEvent<span class=\"token punctuation\">.<\/span>KeyPress<span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>_window<span class=\"token punctuation\">.<\/span>_consume_arrow<span class=\"token punctuation\">(<\/span>event<span class=\"token punctuation\">.<\/span>key<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                event<span class=\"token punctuation\">.<\/span>accept<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">True<\/span>          <span class=\"token comment\"># \u5df2\u5904\u7406&#xff1a;\u4e0d\u518d\u4e0b\u4f20&#xff08;\u4e00\u6b21 KeyPress \u53ea\u8d70\u4e00\u6b65&#xff09;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">False<\/span><\/p>\n<p>\u653e\u884c\u89c4\u5219\u96c6\u4e2d\u4e8e _consume_arrow&#xff0c;\u4ec5\u5728\u786e\u5e94\u7531\u68cb\u76d8\u63a5\u7ba1\u65f6\u62e6\u622a&#xff1a;<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_consume_arrow<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> key<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> key <span class=\"token keyword\">not<\/span> <span class=\"token keyword\">in<\/span> _ARROW_DIRECTIONS<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">False<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token keyword\">not<\/span> self<span class=\"token punctuation\">.<\/span>isVisible<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">False<\/span><br \/>\n    fw <span class=\"token operator\">&#061;<\/span> QApplication<span class=\"token punctuation\">.<\/span>focusWidget<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> fw <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> fw <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> self <span class=\"token keyword\">and<\/span> <span class=\"token keyword\">not<\/span> self<span class=\"token punctuation\">.<\/span>isAncestorOf<span class=\"token punctuation\">(<\/span>fw<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">False<\/span>                      <span class=\"token comment\"># \u7126\u70b9\u4e0d\u5728\u672c\u7a97\u53e3&#xff1a;\u653e\u884c<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>_is_keyboard_input<span class=\"token punctuation\">(<\/span>fw<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">False<\/span>                      <span class=\"token comment\"># \u8f93\u5165\u63a7\u4ef6&#xff1a;\u4fdd\u6301\u539f\u751f<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> QApplication<span class=\"token punctuation\">.<\/span>activeModalWidget<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">False<\/span>                          <span class=\"token comment\"># \u6a21\u6001\u5bf9\u8bdd\u6846&#xff1a;\u4fdd\u6301\u539f\u751f<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>game_page <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span> <span class=\"token keyword\">and<\/span> self<span class=\"token punctuation\">.<\/span>game_page<span class=\"token punctuation\">.<\/span>isVisible<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>on_move<span class=\"token punctuation\">(<\/span>_ARROW_DIRECTIONS<span class=\"token punctuation\">[<\/span>key<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># \u6e38\u620f\u9875&#xff1a;\u8d70\u5b50&#xff08;\u5185\u90e8\u81ea\u5e26\u72b6\u6001\u95e8\u7981&#xff09;<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">True<\/span><\/p>\n<p>\u8981\u70b9\u5982\u4e0b\u3002\u8fc7\u6ee4\u5668\u53ea\u5b89\u88c5\u4e00\u6b21&#xff08;\u7531 V5 \u5b50\u7c7b\u5b89\u88c5&#xff0c;V6 \u7ee7\u627f\u65f6\u4e0d\u91cd\u590d\u5b89\u88c5&#xff09;&#xff0c;\u7a97\u53e3\u5173\u95ed\u65f6\u79fb\u9664\u3002\u6b22\u8fce\u9875\u3001\u6a21\u6001\u5bf9\u8bdd\u6846\u4e0e\u8f93\u5165\u63a7\u4ef6\u4e0a\u7684\u65b9\u5411\u952e\u4e00\u5f8b\u653e\u884c&#xff0c;Ctrl&#043;Z\u3001WASD\u3001Tab \u4e0e\u9f20\u6807\u7b49\u539f\u884c\u4e3a\u4e0d\u53d7\u5f71\u54cd\u3002\u6d4b\u8bd5\u4ee5\u8fde\u7eed\u6309\u952e\u4e0e\u957f\u6309\u81ea\u52a8\u91cd\u590d\u9a8c\u8bc1\u4e00\u6b21 KeyPress \u81f3\u591a\u8d70\u4e00\u6b65\u3002<\/p>\n<h4>4.2 \u5355\u6b65\u5efa\u8bae\u7684\u5e38\u9a7b\u8ddf\u968f<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261021190839-6ad90db769479.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5355\u6b65\u5efa\u8bae&#xff1a;\u7ed9\u51fa\u65b9\u5411\u540e\u4fdd\u6301\u5f85\u547d&#xff0c;\u7528\u6237\u8d70\u5b50\u540e\u81ea\u52a8\u91cd\u7b97<\/p>\n<p>\u65e9\u5148\u7684\u5355\u6b65\u5efa\u8bae\u7ed9\u51fa\u4e00\u6b21\u5efa\u8bae\u5373\u7ed3\u675f\u3002\u73b0\u5c06\u5176\u6539\u4e3a\u5e38\u9a7b\u8ddf\u968f&#xff1a;\u7ed9\u51fa\u5efa\u8bae\u540e\u4fdd\u6301\u5f85\u547d&#xff0c;\u7528\u6237\u6309\u65b9\u5411\u952e\u8d70\u5b50&#xff0c;\u8d70\u5b50\u52a8\u753b\u7ed3\u675f\u540e\u81ea\u52a8\u91cd\u7b97\u4e0b\u4e00\u6b65\u5e76\u5237\u65b0\u9ad8\u4eae&#xff1b;\u4ec5\u5f53\u7528\u6237\u505c\u6b62\u3001\u6e38\u620f\u7ed3\u675f\u3001\u65e0\u53ef\u884c\u79fb\u52a8\u6216\u5207\u6362\u6a21\u5f0f\u65f6\u9000\u51fa\u3002\u5b9e\u73b0\u590d\u7528\u540c\u4e00\u5957\u4efb\u52a1\u8eab\u4efd\u4e0e\u68cb\u76d8\u5feb\u7167\u6821\u9a8c&#xff1a;<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_on_animation_finished<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>_solver_running <span class=\"token keyword\">and<\/span> self<span class=\"token punctuation\">.<\/span>_solver_mode <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token string\">&#034;single&#034;<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>_clear_hint<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>                     <span class=\"token comment\"># \u7528\u6237\u5df2\u8d70\u5b50&#xff1a;\u6e05\u65e7\u9ad8\u4eae<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>model<span class=\"token punctuation\">.<\/span>game_over<span class=\"token punctuation\">:<\/span><br \/>\n            self<span class=\"token punctuation\">.<\/span>_finish_solver<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6e38\u620f\u7ed3\u675f&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">elif<\/span> solver<span class=\"token punctuation\">.<\/span>legal_moves<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>model<span class=\"token punctuation\">.<\/span>grid<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            QTimer<span class=\"token punctuation\">.<\/span>singleShot<span class=\"token punctuation\">(<\/span>STEP_DELAY_MS<span class=\"token punctuation\">,<\/span> self<span class=\"token punctuation\">.<\/span>_request_decision<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            self<span class=\"token punctuation\">.<\/span>_finish_solver<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u65e0\u53ef\u884c\u79fb\u52a8&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u300c\u65b0\u6e38\u620f \/ \u7ee7\u7eed\u300d\u540e\u68cb\u76d8\u5df2\u53d8&#xff0c;\u8ddf\u968f\u540c\u6837\u9700\u8981\u91cd\u65b0\u540c\u6b65\u3002<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_resync_follow_after_board_reset<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>_solver_running <span class=\"token keyword\">and<\/span> self<span class=\"token punctuation\">.<\/span>_solver_mode <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token string\">&#034;single&#034;<\/span><br \/>\n            <span class=\"token keyword\">and<\/span> <span class=\"token keyword\">not<\/span> self<span class=\"token punctuation\">.<\/span>_solve_in_flight<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>_request_decision<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>_on_animation_finished \u7684 single \u5206\u652f\u5728\u7528\u6237\u8d70\u5b50\u540e\u6e05\u9664\u65e7\u9ad8\u4eae\u5e76\u5f02\u6b65\u53d1\u8d77\u4e0b\u4e00\u6b21\u51b3\u7b56&#xff0c;\u5ef6\u65f6\u53d6 STEP_DELAY_MS&#061;70&#xff1b;_resync_follow_after_board_reset \u5728\u68cb\u76d8\u91cd\u7f6e\u540e\u4ee5\u76f8\u540c\u6761\u4ef6\u91cd\u7b97&#xff0c;\u4f7f\u8ddf\u968f\u4e0d\u56e0\u4e00\u6b21\u91cd\u5f00\u5c40\u800c\u4e2d\u65ad\u3002<\/p>\n<h4>4.3 \u6c42\u89e3\u8fdb\u884c\u4e2d\u7684\u7b97\u6cd5\u70ed\u5207\u6362<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261021190839-6ad90db7a12f7.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u7ed3\u679c\u5bf9\u6bd4&#xff1a;\u4e0d\u540c\u7b97\u6cd5\/\u5f3a\u5ea6\u7684\u6c42\u89e3\u7ed3\u679c<\/p>\n<p>\u641c\u7d22\u5f15\u64ce\u53ef\u5728\u8fd0\u884c\u4e2d\u66f4\u6362\u3002\u6539\u52a8\u7b97\u6cd5\u6216\u8fd0\u884c\u65b9\u5f0f&#xff08;\u5f3a\u5ea6&#xff09;\u4e0b\u62c9\u4f1a\u70ed\u66f4\u65b0\u6c42\u89e3\u914d\u7f6e&#xff0c;\u4f5c\u5e9f\u5728\u9014\u4efb\u52a1&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         id<\/p>\n<p>         cur<\/p>\n<p>        &#043;<\/p>\n<p>        &#043;<\/p>\n<p>       \\\\text{id}_{\\\\text{cur}}{&#043;}{&#043;}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">id<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">cur<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\">&#043;<\/span><\/span><span class=\"mord\"><span class=\"mord\">&#043;<\/span><\/span><\/span><\/span><\/span><\/span> \u5e76\u7f6e\u4f4d\u534f\u4f5c\u5f0f\u53d6\u6d88\u4ee4\u724c&#xff09;&#xff0c;\u968f\u540e\u7acb\u5373\u6309\u65b0\u7b97\u6cd5\u91cd\u7b97&#xff1a;<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_hot_update_solver_config<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token keyword\">not<\/span> self<span class=\"token punctuation\">.<\/span>_solver_running<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span><br \/>\n    new_cfg <span class=\"token operator\">&#061;<\/span> solver<span class=\"token punctuation\">.<\/span>build_config<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>solver_strategy<span class=\"token punctuation\">.<\/span>currentData<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n                                  self<span class=\"token punctuation\">.<\/span>solver_depth<span class=\"token punctuation\">.<\/span>currentData<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> new_cfg <span class=\"token operator\">&#061;&#061;<\/span> self<span class=\"token punctuation\">.<\/span>_ui_solver_config<span class=\"token punctuation\">:<\/span>      <span class=\"token comment\"># \u754c\u9762\u4ea7\u51fa\u7684\u914d\u7f6e\u6ca1\u53d8 \u2192 \u4e0d\u91cd\u7b97<\/span><br \/>\n        <span class=\"token keyword\">return<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>_ui_solver_config <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">dict<\/span><span class=\"token punctuation\">(<\/span>new_cfg<span class=\"token punctuation\">)<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>_solver_config <span class=\"token operator\">&#061;<\/span> new_cfg<br \/>\n    self<span class=\"token punctuation\">.<\/span>_job_id <span class=\"token operator\">&#043;&#061;<\/span> <span class=\"token number\">1<\/span>                          <span class=\"token comment\"># \u65e7\u4efb\u52a1\u8eab\u4efd\u4f5c\u5e9f<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>_solve_in_flight <span class=\"token keyword\">and<\/span> self<span class=\"token punctuation\">.<\/span>_solver_cancel <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>_solver_cancel<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">set<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>              <span class=\"token comment\"># \u534f\u4f5c\u5f0f\u53d6\u6d88\u5728\u9014\u8ba1\u7b97<\/span><br \/>\n    <span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><br \/>\n    self<span class=\"token punctuation\">.<\/span>_request_decision<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>                   <span class=\"token comment\"># \u6309\u65b0\u914d\u7f6e\u7acb\u5373\u91cd\u7b97<\/span><\/p>\n<p>\u6b64\u5904\u6709\u4e00\u5b88\u536b&#xff1a;\u914d\u7f6e\u6bd4\u8f83\u987b\u4f7f\u7528\u754c\u9762\u76f4\u63a5\u4ea7\u51fa\u7684\u914d\u7f6e\u5feb\u7167 _ui_solver_config&#xff0c;\u800c\u975e\u8fd0\u884c\u65f6\u7684 _solver_config\u3002\u5b50\u7c7b&#xff08;V6&#xff09;\u4f1a\u5411 _solver_config \u6ce8\u5165 backend \u7b49\u8fd0\u884c\u65f6\u9879&#xff0c;\u82e5\u76f4\u63a5\u6bd4\u8f83&#xff0c;\u300c\u914d\u7f6e\u672a\u53d8\u5373\u65e9\u9000\u300d\u5c06\u6c38\u4e45\u5931\u6548\u3002<\/p>\n<p>\u4f1a\u8bdd\u8bb0\u5f55\u968f\u4e4b\u66f4\u65b0&#xff1a;\u6bcf\u6b21\u5207\u6362\u5199\u5165 strategy_changes&#xff0c;\u5bfc\u51fa\u7684\u4f1a\u8bdd\u6458\u8981\u6309\u8d77\u59cb\u4e0e\u540e\u7eed\u5c55\u793a&#xff08;\u5982 \u542f\u53d1\u5f0f \u2192 MCTS&#xff09;&#xff0c;\u4e0d\u628a\u6df7\u7528\u4e24\u79cd\u7b97\u6cd5\u7684\u4f1a\u8bdd\u8bb0\u4e3a\u5355\u7b97\u6cd5\u3002<\/p>\n<hr \/>\n<h3>5. AI \u65b9\u5411\u63d0\u793a&#xff1a;\u539f\u751f\u8fb9\u6846\u5185\u7684\u300c\u5185\u5d4c\u660e\u6697\u8f6e\u5ed3\u300d&#043; \u4e09\u901a\u9053\u6d41\u5149<\/h3>\n<p>\u672c\u8282\u8ba8\u8bba AI \u5efa\u8bae\u5728\u68cb\u76d8\u4e0a\u7684\u53ef\u89c1\u6027\u5b9e\u73b0\u3002\u8be5\u63d0\u793a\u5386\u7ecf\u4e09\u4ee3\u8fed\u4ee3&#xff0c;\u4e0b\u9762\u8bf4\u660e\u524d\u4e24\u4ee3\u4e3a\u4f55\u4e0d\u6210\u7acb\u4ee5\u53ca\u6700\u7ec8\u5982\u4f55\u4fee\u6b63&#xff0c;\u5176\u8fc7\u7a0b\u6070\u597d\u533a\u5206\u4e86\u7ed8\u5236\u7684\u6b63\u786e\u6027\u4e0e\u53ef\u8fa8\u8bc6\u6027\u3002<\/p>\n<p>\u8bc1\u636e\u53e3\u5f84&#xff1a;\u672c\u8282\u4e2d\u7684\u50cf\u7d20\u91c7\u6837\u3001\u0394E\/\u0394L\u3001\u9010\u901a\u9053\u8ba1\u6570\u4e0e\u7ed8\u5236\u8017\u65f6\u6765\u81ea\u5f53\u65f6\u7684\u6e32\u67d3\u5b9e\u9a8c\u8bb0\u5f55\u3002\u5bf9\u5e94\u7684\u539f\u59cb\u5b9e\u9a8c\u76ee\u5f55\u5df2\u5728\u4ed3\u5e93\u6e05\u7406\u4e2d\u79fb\u9664&#xff0c;\u672c\u6b21\u8bc4\u5ba1\u65e0\u6cd5\u91cd\u653e\u8fd9\u4e9b\u6d4b\u91cf&#xff0c;\u56e0\u6b64\u8fd9\u4e9b\u5177\u4f53\u6570\u503c\u6807\u8bb0\u4e3a HISTORICAL \/ UNVERIFIED&#xff1b;\u53ef\u590d\u6838\u7684\u662f\u51e0\u4f55\u5e38\u91cf\u3001\u88c1\u526a\u8def\u5f84\u4e0e\u4ee3\u7801\u8def\u5f84\u672c\u8eab\u3002<\/p>\n<h4>5.1 \u9700\u6c42\u4e0e\u51e0\u4f55\u7ea6\u675f<\/h4>\n<p>\u63d0\u793a\u987b\u6ee1\u8db3\u4e09\u9879\u7ea6\u675f&#xff1a;\u4ec5\u5728\u68cb\u76d8\u539f\u751f\u8fb9\u6846\u5185\u7ed8\u5236&#xff0c;\u4e0d\u8d8a\u51fa\u5916\u8f6e\u5ed3\u3001\u4e0d\u8986\u76d6\u74e6\u7247&#xff0c;\u4e14\u4e0d\u65b0\u589e\u5916\u4fa7\u5149\u8f68\u6216\u7bad\u5934\u7b49\u5916\u56f4\u7ec4\u4ef6&#xff1b;\u53ea\u4f7f\u7528\u68cb\u76d8\u5df2\u6709\u50cf\u7d20&#xff0c;\u9ad8\u4eae\u5c42\u9f20\u6807\u900f\u4f20&#xff0c;\u4e0d\u963b\u6321\u70b9\u51fb&#xff1b;\u81ea\u52a8\u8fde\u8d70\u4e0e\u5355\u6b65\u5efa\u8bae\u5171\u7528\u540c\u4e00\u6e32\u67d3\u5668&#xff0c;V6 \u7ee7\u627f V5 \u800c\u4e0d\u5206\u53c9\u3002<\/p>\n<p>\u88c1\u526a\u51e0\u4f55\u7531\u7b2c 4 \u7248\u7684\u53ea\u8bfb\u5e38\u91cf\u5bfc\u51fa\u3002\u5916\u8f6e\u5ed3\u8bb0\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         R<\/p>\n<p>         out<\/p>\n<p>       R_{\\\\text{out}}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">out<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5373\u8fb9\u957f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        B<\/p>\n<p>        O<\/p>\n<p>        A<\/p>\n<p>        R<\/p>\n<p>        D<\/p>\n<p>        _<\/p>\n<p>        S<\/p>\n<p>        I<\/p>\n<p>        D<\/p>\n<p>        E<\/p>\n<p>        &#061;<\/p>\n<p>        434<\/p>\n<p>       BOARD\\\\_SIDE&#061;434<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9933em;vertical-align: -0.31em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"mord\" style=\"margin-right: 0.0278em\">_<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">434<\/span><\/span><\/span><\/span><\/span>\u3001\u5706\u89d2 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         r<\/p>\n<p>          o<\/p>\n<p>          u<\/p>\n<p>          t<\/p>\n<p>        &#061;<\/p>\n<p>        B<\/p>\n<p>        O<\/p>\n<p>        A<\/p>\n<p>        R<\/p>\n<p>        D<\/p>\n<p>        _<\/p>\n<p>        R<\/p>\n<p>        A<\/p>\n<p>        D<\/p>\n<p>        I<\/p>\n<p>        U<\/p>\n<p>        S<\/p>\n<p>        &#061;<\/p>\n<p>        9<\/p>\n<p>       r_{out}&#061;BOARD\\\\_RADIUS&#061;9<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9933em;vertical-align: -0.31em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"mord\" style=\"margin-right: 0.0278em\">_<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">9<\/span><\/span><\/span><\/span><\/span> \u7684\u5706\u89d2\u77e9\u5f62&#xff1b;\u5185\u90e8\u51cf\u53bb 16 \u4e2a\u5706\u89d2\u74e6\u7247 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         R<\/p>\n<p>         k<\/p>\n<p>       R_k<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u8fb9\u957f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        T<\/p>\n<p>        I<\/p>\n<p>        L<\/p>\n<p>        E<\/p>\n<p>        _<\/p>\n<p>        S<\/p>\n<p>        I<\/p>\n<p>        Z<\/p>\n<p>        E<\/p>\n<p>        &#061;<\/p>\n<p>        96<\/p>\n<p>       TILE\\\\_SIZE&#061;96<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9933em;vertical-align: -0.31em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\">L<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"mord\" style=\"margin-right: 0.0278em\">_<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">Z<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">96<\/span><\/span><\/span><\/span><\/span>\u3001\u5706\u89d2 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         r<\/p>\n<p>         t<\/p>\n<p>        &#061;<\/p>\n<p>        T<\/p>\n<p>        I<\/p>\n<p>        L<\/p>\n<p>        E<\/p>\n<p>        _<\/p>\n<p>        R<\/p>\n<p>        A<\/p>\n<p>        D<\/p>\n<p>        I<\/p>\n<p>        U<\/p>\n<p>        S<\/p>\n<p>        &#061;<\/p>\n<p>        6<\/p>\n<p>       r_t&#061;TILE\\\\_RADIUS&#061;6<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9933em;vertical-align: -0.31em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\">L<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"mord\" style=\"margin-right: 0.0278em\">_<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">6<\/span><\/span><\/span><\/span><\/span>\u3001\u95f4\u8ddd <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        T<\/p>\n<p>        I<\/p>\n<p>        L<\/p>\n<p>        E<\/p>\n<p>        _<\/p>\n<p>        G<\/p>\n<p>        A<\/p>\n<p>        P<\/p>\n<p>        &#061;<\/p>\n<p>        10<\/p>\n<p>       TILE\\\\_GAP&#061;10<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9933em;vertical-align: -0.31em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\">L<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"mord\" style=\"margin-right: 0.0278em\">_<\/span><span class=\"mord mathnormal\">G<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">10<\/span><\/span><\/span><\/span><\/span>\u3002\u7740\u8272\u57df\u4e3a<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03a9<\/p>\n<p>         &#061;<\/p>\n<p>          R<\/p>\n<p>          out<\/p>\n<p>         \u2216<\/p>\n<p>          \u22c3<\/p>\n<p>           k<\/p>\n<p>           &#061;<\/p>\n<p>           1<\/p>\n<p>          16<\/p>\n<p>          R<\/p>\n<p>          k<\/p>\n<p>         ,<\/p>\n<p>        \\\\Omega&#061;R_{\\\\text{out}}\\\\setminus\\\\bigcup_{k&#061;1}^{16}R_k,<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u03a9<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">out<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2216<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.1032em;vertical-align: -1.3021em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.8011em\"><span class=\"\" style=\"top: -1.8479em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u22c3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.3em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">16<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3021em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5373\u5916\u8f6e\u5ed3\u4e0e 16 \u4e2a\u74e6\u7247\u4e4b\u5dee&#xff0c;\u5b9e\u9645\u8868\u73b0\u4e3a\u5bbd <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        B<\/p>\n<p>        O<\/p>\n<p>        A<\/p>\n<p>        R<\/p>\n<p>        D<\/p>\n<p>        _<\/p>\n<p>        P<\/p>\n<p>        A<\/p>\n<p>        D<\/p>\n<p>        D<\/p>\n<p>        I<\/p>\n<p>        N<\/p>\n<p>        G<\/p>\n<p>        &#061;<\/p>\n<p>        10<\/p>\n<p>       BOARD\\\\_PADDING&#061;10<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9933em;vertical-align: -0.31em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"mord\" style=\"margin-right: 0.0278em\">_<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mord mathnormal\">G<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">10<\/span><\/span><\/span><\/span><\/span> \u7684\u8fb9\u6846\u5e26\u3002\u8be5\u57df\u7531 _background \u751f\u6210&#xff0c;\u5e76\u4e0e\u540e\u7eed\u7ed8\u5236\u5171\u4eab\u540c\u4e00\u8def\u5f84\u3002<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_background<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> w<span class=\"token punctuation\">,<\/span> h<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    path <span class=\"token operator\">&#061;<\/span> QPainterPath<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    path<span class=\"token punctuation\">.<\/span>addRoundedRect<span class=\"token punctuation\">(<\/span>QRectF<span class=\"token punctuation\">(<\/span><span class=\"token number\">0.0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0.0<\/span><span class=\"token punctuation\">,<\/span> w<span class=\"token punctuation\">,<\/span> h<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> r<span class=\"token punctuation\">,<\/span> r<span class=\"token punctuation\">)<\/span>          <span class=\"token comment\"># \u5916\u8f6e\u5ed3\u5706\u89d2\u77e9\u5f62 R_out<\/span><br \/>\n    step <span class=\"token operator\">&#061;<\/span> size <span class=\"token operator\">&#043;<\/span> gap<br \/>\n    <span class=\"token keyword\">for<\/span> rr <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> cc <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span>                                    <span class=\"token comment\"># \u51cf\u53bb 16 \u4e2a\u5706\u89d2\u74e6\u7247<\/span><br \/>\n            cell <span class=\"token operator\">&#061;<\/span> QPainterPath<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            cell<span class=\"token punctuation\">.<\/span>addRoundedRect<span class=\"token punctuation\">(<\/span>QRectF<span class=\"token punctuation\">(<\/span>pad <span class=\"token operator\">&#043;<\/span> cc <span class=\"token operator\">*<\/span> step<span class=\"token punctuation\">,<\/span> pad <span class=\"token operator\">&#043;<\/span> rr <span class=\"token operator\">*<\/span> step<span class=\"token punctuation\">,<\/span> size<span class=\"token punctuation\">,<\/span> size<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n                                tr<span class=\"token punctuation\">,<\/span> tr<span class=\"token punctuation\">)<\/span><br \/>\n            path <span class=\"token operator\">&#061;<\/span> path<span class=\"token punctuation\">.<\/span>subtracted<span class=\"token punctuation\">(<\/span>cell<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> path<\/p>\n<h4>5.2 \u7b2c\u4e00\u4ee3\u65b9\u6848&#xff1a;\u6cbf\u8fb9\u6696\u767d\u4e0e\u80cc\u666f\u7684\u4f4e\u5bf9\u6bd4<\/h4>\n<p>\u7b2c\u4e00\u7248\u5728 10 px \u8fb9\u6846\u5e26\u5185\u94fa\u8bbe\u4e00\u5c42\u6cbf\u8fb9\u6e10\u53d8\u7684\u6696\u767d\u3002\u5bf9\u771f\u5b9e Qt \u6e32\u67d3\u7684\u50cf\u7d20\u91c7\u6837\u5982\u4e0b\u3002<\/p>\n<table>\n<tr>\u91c7\u6837\u4eae\u5ea6 L\u8bf4\u660e<\/tr>\n<tbody>\n<tr>\n<td>\u4e3b\u4eae\u9762\u590d\u5408\u8272<\/td>\n<td align=\"right\">80.8<\/td>\n<td>\u6696\u767d\u53e0\u5728\u68cb\u76d8\u68d5\u4e0a<\/td>\n<\/tr>\n<tr>\n<td>\u7a97\u5916\u56f4\u7c73\u767d\u80cc\u666f<\/td>\n<td align=\"right\">93.7<\/td>\n<td>#faf8ef<\/td>\n<\/tr>\n<tr>\n<td>\u5bf9\u4fa7\u666e\u901a\u8fb9\u6846<\/td>\n<td align=\"right\">43.0<\/td>\n<td>\u68cb\u76d8 #bbada0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u4e3b\u4eae\u9762\u4e0e\u5916\u56f4\u7c73\u767d\u80cc\u666f\u7684\u8272\u5dee\u4ec5 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u0394<\/p>\n<p>        E<\/p>\n<p>        \u2248<\/p>\n<p>        5.9<\/p>\n<p>       \\\\Delta E\\\\approx 5.9<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">5.9<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4e14\u5176\u4eae\u5ea6\u66f4\u4f4e&#xff1b;\u4eae\u9762\u4e0e\u68cb\u76d8\u5916\u6cbf\u4e4b\u95f4\u4e0d\u5b58\u5728\u6df1\u8272\u5206\u9694&#xff0c;\u767d\u8fb9\u3001\u68cb\u76d8\u68d5\u8fb9\u4e0e\u7c73\u767d\u80cc\u666f\u4e09\u5c42\u4eae\u5ea6\u63a5\u8fd1\u800c\u7f3a\u5c11\u8f6e\u5ed3&#xff0c;\u65b9\u5411\u8bc6\u522b\u4e0d\u6e05\u3002<\/p>\n<h4>5.3 \u7b2c\u4e8c\u4ee3\u65b9\u6848&#xff1a;\u4e09\u6bb5\u5f0f\u5185\u5d4c\u660e\u6697\u8f6e\u5ed3<\/h4>\n<p>\u7ed3\u6784\u6539\u4e3a\u81ea\u5916\u5411\u5185\u7684\u6df1\u8272\u9694\u79bb\u69fd\u3001\u5976\u6cb9\u6696\u767d\u4e3b\u4eae\u9762\u4e0e\u6696\u674f\u8fc7\u6e21&#xff1a;<\/p>\n<table>\n<tr>\u6bb5\u989c\u8272\u539a\u5ea6&#xff08;\u903b\u8f91\u50cf\u7d20&#xff09;<\/tr>\n<tbody>\n<tr>\n<td>\u2460 \u5916\u4fa7\u6df1\u8272\u9694\u79bb\u69fd<\/td>\n<td>#705B4C<\/td>\n<td align=\"right\">\u22481.8<\/td>\n<\/tr>\n<tr>\n<td>\u2461 \u4e2d\u90e8\u5976\u6cb9\u6696\u767d\u4e3b\u4eae\u9762<\/td>\n<td>#FFF5E8<\/td>\n<td align=\"right\">\u22485.0<\/td>\n<\/tr>\n<tr>\n<td>\u2462 \u5185\u4fa7\u6696\u674f\u8fc7\u6e21<\/td>\n<td>#E0C4A5<\/td>\n<td align=\"right\">\u22481.8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u4e09\u6bb5\u539a\u5ea6\u7531\u5e38\u91cf _GROOVE_PX&#061;1.8\u3001_FACE_PX&#061;5.0\u3001_TRANS_PX&#061;1.8 \u7ed9\u5b9a&#xff0c;\u5408\u8ba1\u4e0d\u8d85\u8fc7\u8fb9\u6846\u5e26\u5bbd\u5ea6 10 px\u3002\u6a2a\u622a\u9762\u6cbf\u5916\u5230\u5185\u65b9\u5411\u4ee5\u7ebf\u6027\u6e10\u53d8\u7ed8\u5236&#xff1b;\u6cbf\u8fb9\u65b9\u5411\u53e6\u7528\u4e00\u6761\u5305\u7edc\u6e10\u53d8\u505a\u4e24\u7aef\u6d88\u9690&#xff0c;\u5176 0.5 \u5e45\u503c\u4f4d\u7f6e\u5206\u522b\u4f4d\u4e8e <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        11.5<\/p>\n<p>        %<\/p>\n<p>       11.5\\\\%<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">11.5%<\/span><\/span><\/span><\/span><\/span> \u4e0e <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        88.5<\/p>\n<p>        %<\/p>\n<p>       88.5\\\\%<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">88.5%<\/span><\/span><\/span><\/span><\/span>&#xff08;_EDGE_ENV_LO&#061;0.115\u3001_EDGE_ENV_HI&#061;0.885&#xff09;&#xff0c;\u4e24\u7aef\u4e3a 0&#xff0c;\u6545\u660e\u4eae\u8bc6\u522b\u533a\u7ea6\u5360\u8fb9\u957f 77%\u3002\u4e24\u6761\u6e10\u53d8\u4ee5 DestinationIn \u76f8\u4e58&#xff1a;<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_paint_edge<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> p<span class=\"token punctuation\">,<\/span> w<span class=\"token punctuation\">,<\/span> h<span class=\"token punctuation\">,<\/span> d<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    band<span class=\"token punctuation\">,<\/span> axis <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>_edge_geom<span class=\"token punctuation\">(<\/span>w<span class=\"token punctuation\">,<\/span> h<span class=\"token punctuation\">,<\/span> d<span class=\"token punctuation\">)<\/span><br \/>\n    p<span class=\"token punctuation\">.<\/span>setBrush<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>_cross_section<span class=\"token punctuation\">(<\/span>w<span class=\"token punctuation\">,<\/span> h<span class=\"token punctuation\">,<\/span> d<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span>      <span class=\"token comment\"># \u2460 \u6a2a\u622a\u9762&#xff1a;\u69fd \/ \u4eae\u9762 \/ \u8fc7\u6e21<\/span><br \/>\n    p<span class=\"token punctuation\">.<\/span>drawRect<span class=\"token punctuation\">(<\/span>band<span class=\"token punctuation\">)<\/span><br \/>\n    p<span class=\"token punctuation\">.<\/span>setCompositionMode<span class=\"token punctuation\">(<\/span>QPainter<span class=\"token punctuation\">.<\/span>CompositionMode_DestinationIn<span class=\"token punctuation\">)<\/span><br \/>\n    p<span class=\"token punctuation\">.<\/span>setBrush<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>_along_envelope<span class=\"token punctuation\">(<\/span>axis<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span>        <span class=\"token comment\"># \u2461 \u6cbf\u8fb9\u5305\u7edc&#xff08;DestinationIn \u4e58 alpha&#xff09;<\/span><br \/>\n    p<span class=\"token punctuation\">.<\/span>drawRect<span class=\"token punctuation\">(<\/span>band<span class=\"token punctuation\">)<\/span><br \/>\n    p<span class=\"token punctuation\">.<\/span>setCompositionMode<span class=\"token punctuation\">(<\/span>QPainter<span class=\"token punctuation\">.<\/span>CompositionMode_SourceOver<span class=\"token punctuation\">)<\/span><\/p>\n<p>\u540c\u4e00\u91c7\u6837\u4e0b&#xff0c;\u9694\u79bb\u69fd <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        L<\/p>\n<p>        \u2248<\/p>\n<p>        12.5<\/p>\n<p>       L\\\\approx 12.5<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">L<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">12.5<\/span><\/span><\/span><\/span><\/span>\u3001\u4eae\u9762 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        L<\/p>\n<p>        \u2248<\/p>\n<p>        92.4<\/p>\n<p>       L\\\\approx 92.4<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">L<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">92.4<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5373 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u0394<\/p>\n<p>        E<\/p>\n<p>        (<\/p>\n<p>        \u69fd<\/p>\n<p>        \u2194<\/p>\n<p>        \u4eae\u9762<\/p>\n<p>        )<\/p>\n<p>        \u2248<\/p>\n<p>        55.4<\/p>\n<p>       \\\\Delta E(\\\\text{\u69fd}\\\\leftrightarrow\\\\text{\u4eae\u9762})\\\\approx 55.4<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"mopen\">(<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u69fd<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2194<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u4eae\u9762<\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">55.4<\/span><\/span><\/span><\/span><\/span>\u3001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u0394<\/p>\n<p>        L<\/p>\n<p>        \u2248<\/p>\n<p>        \u2212<\/p>\n<p>        79.9<\/p>\n<p>       \\\\Delta L\\\\approx -79.9<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord mathnormal\">L<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">79.9<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u660e\u6697\u8f6e\u5ed3\u5206\u79bb\u6210\u7acb&#xff1b;\u8bc6\u522b\u533a\u7ea6\u5360\u8fb9\u957f 77%&#xff0c;\u5176\u4f59\u4e09\u8fb9\u5b8c\u5168\u4e0d\u53d8\u3002<\/p>\n<h4>5.4 \u5149\u6805\u5316\u7ea6\u675f&#xff1a;DestinationIn \u4e0e\u6297\u952f\u9f7f\u88c1\u526a\u4e0d\u53ef\u540c\u65f6\u4f7f\u7528<\/h4>\n<p>\u4e0a\u8ff0\u4e24\u6b65\u5408\u6210\u5fc5\u987b\u5728\u65e0\u88c1\u526a\u7684\u753b\u5e03\u4e0a\u5b8c\u6210\u3002\u82e5\u628a CompositionMode_DestinationIn \u4e0e <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03a9<\/p>\n<p>       \\\\Omega<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u03a9<\/span><\/span><\/span><\/span><\/span> \u7684\u6297\u952f\u9f7f\u88c1\u526a\u8def\u5f84\u7f6e\u4e8e\u540c\u4e00 painter&#xff0c;Qt \u5149\u6805\u5668\u5728\u88c1\u526a\u8fb9\u754c\u50cf\u7d20\u4e0a\u7684 alpha \u76f8\u4e58\u4e0d\u6b63\u786e&#xff0c;\u5706\u89d2\u5904\u4f1a\u6b8b\u7559\u82e5\u5e72\u9ad8\u4e0d\u900f\u660e\u5ea6\u788e\u7247&#xff08;DPR 1.25 \u5b9e\u6d4b 6 \u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b1<\/p>\n<p>        \u2208<\/p>\n<p>        [<\/p>\n<p>        8<\/p>\n<p>        ,<\/p>\n<p>        64<\/p>\n<p>        ]<\/p>\n<p>       \\\\alpha\\\\in[8,64]<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">8<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">64<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span> \u7684\u50cf\u7d20&#xff09;&#xff0c;\u6309\u50cf\u7d20\u4e2d\u5fc3\u662f\u5426\u4f4d\u4e8e\u5916\u8f6e\u5ed3\u5185\u7684\u4e25\u683c\u5224\u5b9a\u5373\u5224\u4e3a\u8d8a\u754c\u3002<\/p>\n<p>\u4fee\u6b63\u65b9\u6cd5\u662f\u5206\u4e24\u5c42\u7ed8\u5236&#xff1a;\u5148\u5728\u65e0\u88c1\u526a\u7684\u4e34\u65f6\u5c42\u4e2d\u5b8c\u6210\u6a2a\u622a\u9762\u4e0e\u6cbf\u8fb9\u5305\u7edc\u7684\u5408\u6210&#xff0c;\u518d\u4ee5\u88c1\u526a\u8def\u5f84 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03a9<\/p>\n<p>       \\\\Omega<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u03a9<\/span><\/span><\/span><\/span><\/span> \u7ecf SourceOver \u8d34\u81f3\u7f13\u5b58\u4f4d\u56fe&#xff0c;\u6297\u952f\u9f7f\u88c1\u526a\u5728 SourceOver \u4e0b\u884c\u4e3a\u6b63\u786e&#xff1a;<\/p>\n<p>layer <span class=\"token operator\">&#061;<\/span> QPixmap<span class=\"token punctuation\">(<\/span>Wd<span class=\"token punctuation\">,<\/span> Hd<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> layer<span class=\"token punctuation\">.<\/span>fill<span class=\"token punctuation\">(<\/span>Qt<span class=\"token punctuation\">.<\/span>transparent<span class=\"token punctuation\">)<\/span><br \/>\nlp <span class=\"token operator\">&#061;<\/span> QPainter<span class=\"token punctuation\">(<\/span>layer<span class=\"token punctuation\">)<\/span>                     <span class=\"token comment\"># \u65e0\u88c1\u526a<\/span><br \/>\nself<span class=\"token punctuation\">.<\/span>_paint_edge<span class=\"token punctuation\">(<\/span>lp<span class=\"token punctuation\">,<\/span> w<span class=\"token punctuation\">,<\/span> h<span class=\"token punctuation\">,<\/span> d<span class=\"token punctuation\">)<\/span>            <span class=\"token comment\"># \u69fd \/ \u4eae\u9762 \/ \u8fc7\u6e21 \u00d7 \u6cbf\u8fb9\u6d88\u9690<\/span><br \/>\nlp<span class=\"token punctuation\">.<\/span>end<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>pm <span class=\"token operator\">&#061;<\/span> QPixmap<span class=\"token punctuation\">(<\/span>Wd<span class=\"token punctuation\">,<\/span> Hd<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> pm<span class=\"token punctuation\">.<\/span>fill<span class=\"token punctuation\">(<\/span>Qt<span class=\"token punctuation\">.<\/span>transparent<span class=\"token punctuation\">)<\/span><br \/>\npp <span class=\"token operator\">&#061;<\/span> QPainter<span class=\"token punctuation\">(<\/span>pm<span class=\"token punctuation\">)<\/span><br \/>\npp<span class=\"token punctuation\">.<\/span>setClipPath<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>_background<span class=\"token punctuation\">(<\/span>w<span class=\"token punctuation\">,<\/span> h<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span>   <span class=\"token comment\"># \u5916\u8f6e\u5ed3 \u2216 16 \u4e2a\u5706\u89d2\u74e6\u7247<\/span><br \/>\npp<span class=\"token punctuation\">.<\/span>drawPixmap<span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> layer<span class=\"token punctuation\">)<\/span>               <span class=\"token comment\"># SourceOver<\/span><br \/>\npp<span class=\"token punctuation\">.<\/span>end<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u4fee\u6b63\u540e&#xff0c;\u5728 3 \u6863 DPR&#xff08;1.0\u30011.25\u30011.5&#xff09;\u4e0e V5\/V6 \u7ec4\u5408\u4e0b&#xff0c;\u8d8a\u51fa\u5916\u8f6e\u5ed3\u3001\u8986\u76d6\u74e6\u7247\u4e0e\u5176\u4ed6\u4e09\u8fb9\u88ab\u6539\u52a8\u4e09\u9879\u8ba1\u6570\u5747\u4e3a 0\u3002<\/p>\n<h4>5.5 \u6d41\u5149\u5c42&#xff1a;\u4e09\u901a\u9053\u3001\u77ed\u68ad\u5f62\u4e0e\u671d\u76ee\u6807\u8fb9\u6c47\u805a<\/h4>\n<p>\u9664\u9759\u6001\u4eae\u8fb9\u5916&#xff0c;\u53e6\u6709\u4e00\u5c42\u5185\u5411\u77ed\u68ad\u5f62\u6d41\u5149&#xff08;B \u5c42&#xff09;&#xff1a;\u5728 3 \u6761\u5185\u90e8\u7f1d\u9699\u4e2d\u5404\u7ed8\u5236\u4e00\u4e2a\u4e24\u7aef\u5c16\u3001\u4e2d\u95f4\u6700\u5bbd\u7684\u68ad\u5f62\u4eae\u6bb5&#xff0c;\u6cbf\u63a8\u8350\u65b9\u5411\u6c47\u805a\u5e76\u5728\u4e34\u8fb9\u6536\u7f29\u6d88\u9690\u3002\u65e9\u671f\u4ec5\u7ed8\u5236 2 \u6761&#xff08;\u4ee5 centers[:2] \u622a\u65ad&#xff09;&#xff0c;\u5bfc\u81f4\u7b2c 3 \u6761\u901a\u9053\u957f\u671f\u4e3a\u7a7a&#xff1b;\u6539\u4e3a\u4e09\u6761\u5168\u53c2\u4e0e\u540e&#xff0c;\u771f\u5b9e\u6e32\u67d3\u7684\u9010\u901a\u9053\u8ba1\u6570\u7531 [\u2026, \u2026, 0] \u53d8\u4e3a \u2248[87, 87, 87]\u3002<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_gap_centers<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;\u4e09\u6761\u5185\u90e8\u7f1d\u9699\u4e2d\u5fc3&#xff1a;\u4ec5\u7531\u53ea\u8bfb\u5e38\u91cf\u63a8\u5bfc&#xff0c;\u65e0\u5199\u6b7b\u5750\u6807\u3002&#034;&#034;&#034;<\/span><br \/>\n    pad<span class=\"token punctuation\">,<\/span> size<span class=\"token punctuation\">,<\/span> gap <span class=\"token operator\">&#061;<\/span> v4<span class=\"token punctuation\">.<\/span>BOARD_PADDING<span class=\"token punctuation\">,<\/span> v4<span class=\"token punctuation\">.<\/span>TILE_SIZE<span class=\"token punctuation\">,<\/span> v4<span class=\"token punctuation\">.<\/span>TILE_GAP<br \/>\n    step <span class=\"token operator\">&#061;<\/span> size <span class=\"token operator\">&#043;<\/span> gap<br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">[<\/span>pad <span class=\"token operator\">&#043;<\/span> size <span class=\"token operator\">&#043;<\/span> gap <span class=\"token operator\">\/<\/span> <span class=\"token number\">2.0<\/span> <span class=\"token operator\">&#043;<\/span> k <span class=\"token operator\">*<\/span> step <span class=\"token keyword\">for<\/span> k <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span>   <span class=\"token comment\"># 111 \/ 217 \/ 323<\/span><\/p>\n<p>\u5de5\u7a0b\u7ec6\u8282\u5982\u4e0b\u3002\u9759\u6001\u4eae\u8fb9\u7f13\u5b58\u4e3a QPixmap&#xff0c;\u4ec5\u5728\u5c3a\u5bf8\u3001DPR \u6216\u65b9\u5411\u53d8\u5316\u65f6\u91cd\u5efa\u3002\u52a8\u753b\u6309 26 FPS \u91c7\u7528\u5355\u65f6\u949f&#xff0c;\u53ea\u5237\u65b0\u65b0\u65e7\u4e24\u4e2a\u68ad\u5f62\u5e76\u96c6\u7684\u810f\u77e9\u5f62\u3002\u51e0\u4f55\u4e0d\u8db3\u6216\u4e0d\u53ef\u89c1\u65f6\u964d\u7ea7\u4e3a A-only \u5e76\u505c\u6b62\u8ba1\u65f6&#xff1b;\u9690\u85cf\u3001\u505c\u6b62\u3001\u65b0\u6e38\u620f\u3001\u7ee7\u7eed\u4e0e\u5207\u6362\u6a21\u5f0f\u5747\u4f1a\u6e05\u9664\u9ad8\u4eae\u5e76\u505c\u8868\u3002<\/p>\n<h4>5.6 \u81ea\u52a8\u8fde\u8d70\u65b9\u5411\u63d0\u793a<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261021190839-6ad90db7b7bd4.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u81ea\u52a8\u8fde\u8d70&#xff1a;\u5f53\u524d\u51b3\u7b56\u65b9\u5411\u5728\u68cb\u76d8\u539f\u751f\u8fb9\u6846\u5185\u9ad8\u4eae<\/p>\n<p>\u540c\u4e00\u6e32\u67d3\u5668\u5728\u81ea\u52a8\u8fde\u8d70\u4e2d\u540c\u6837\u751f\u6548&#xff1a;AI \u6bcf\u51b3\u5b9a\u4e00\u6b65\u5373\u5148\u9ad8\u4eae\u8be5\u65b9\u5411&#xff0c;\u518d\u7531\u52a8\u753b\u9a71\u52a8\u68cb\u76d8\u8d70\u5b50&#xff0c;\u505c\u6b62\u6216\u7ed3\u675f\u65f6\u6e05\u9664\u3002\u5b9e\u6d4b\u5728 26 FPS \u4e0b&#xff0c;A&#043;B \u7ed8\u5236\u8017\u65f6\u7684 mean\/p95 \u7ea6\u4e3a 0.6\/0.8 ms&#xff08;DPR 1.0&#xff09;\u4e0e 1.1\/1.7 ms&#xff08;DPR 1.25&#xff09;&#xff0c;\u5747\u5728\u65e2\u6709 2 ms \u4e0e 5 ms \u9884\u7b97\u4e4b\u5185\u3002<\/p>\n<hr \/>\n<h3>6. \u6d4b\u8bd5\u4e0e\u9a8c\u6536<\/h3>\n<p>\u7b97\u6cd5\u6838\u5fc3\u3001RL \u5de5\u7a0b\u5316\u3001GUI \u96c6\u6210\u4e0e\u8de8\u7248\u672c\u56de\u5f52\u5206\u522b\u6d4b\u8bd5&#xff0c;\u53d1\u5e03\u8bb0\u5f55\u4e3a 202 \u6761\u7528\u4f8b\u3002\u672c\u6b21\u590d\u6838&#xff08;2026-10-20&#xff0c;PYTHONNOUSERSITE&#061;1&#xff09;\u9010\u5957\u4ef6\u8fd0\u884c&#xff0c;\u5168\u90e8\u9000\u51fa\u7801 0&#xff1a;<\/p>\n<table>\n<tr>\u5957\u4ef6\u7528\u4f8b\u6570\u672c\u6b21\u590d\u6838\u7ed3\u679c<\/tr>\n<tbody>\n<tr>\n<td>v5_pyqt_2048_solver.test_solver<\/td>\n<td align=\"right\">95<\/td>\n<td>Ran 95 tests \/ OK \/ exit 0&#xff08;82.6s&#xff09;<\/td>\n<\/tr>\n<tr>\n<td>tests.test_mcts_chance<\/td>\n<td align=\"right\">10<\/td>\n<td>\u4e0e\u4e0b\u4e24\u9879\u5408\u5e76 Ran 28 tests \/ OK \/ exit 0<\/td>\n<\/tr>\n<tr>\n<td>tests.test_expectimax_reference<\/td>\n<td align=\"right\">10<\/td>\n<td>\u540c\u4e0a<\/td>\n<\/tr>\n<tr>\n<td>tests.test_rl_gradients<\/td>\n<td align=\"right\">8<\/td>\n<td>\u540c\u4e0a<\/td>\n<\/tr>\n<tr>\n<td>tests.test_rl_model_management<\/td>\n<td align=\"right\">5<\/td>\n<td>Ran 5 tests \/ OK \/ exit 0<\/td>\n<\/tr>\n<tr>\n<td>tests.test_algorithm_benchmark_smoke<\/td>\n<td align=\"right\">5<\/td>\n<td>Ran 5 tests \/ OK \/ exit 0<\/td>\n<\/tr>\n<tr>\n<td>tests.test_cross_version<\/td>\n<td align=\"right\">41<\/td>\n<td>41\/41 \u901a\u8fc7 \/ exit 0&#xff08;\u811a\u672c\u5f0f&#xff09;<\/td>\n<\/tr>\n<tr>\n<td>tests.test_popups<\/td>\n<td align=\"right\">17<\/td>\n<td>17\/17 \u901a\u8fc7 \/ exit 0&#xff08;\u811a\u672c\u5f0f&#xff09;<\/td>\n<\/tr>\n<tr>\n<td>tests.test_rl_selftrain<\/td>\n<td align=\"right\">11<\/td>\n<td>11\/11 \u901a\u8fc7 \/ exit 0&#xff08;\u811a\u672c\u5f0f&#xff09;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u5408\u8ba1 202 \u6761\u3002test_popups\u3001test_rl_selftrain\u3001test_cross_version \u662f\u811a\u672c\u5f0f\u81ea\u68c0&#xff08;\u4e0d\u662f unittest.TestCase \u7c7b&#xff09;&#xff0c;\u56e0\u6b64\u7528\u76f4\u63a5\u8fd0\u884c\u811a\u672c\u7684\u65b9\u5f0f\u590d\u6838&#xff1b;\u8868\u4e2d\u5176\u4f59\u9879\u7528 python -m unittest \u8fd0\u884c\u3002\u8986\u76d6\u8303\u56f4\u5982\u4e0b\u3002<\/p>\n<p>python <span class=\"token parameter variable\">-m<\/span> v5_pyqt_2048_solver.test_solver          <span class=\"token comment\"># Ran 95 tests &#8230; OK<\/span><br \/>\npython <span class=\"token parameter variable\">-m<\/span> tests.test_mcts_chance                   <span class=\"token comment\"># Ran 10 tests &#8230; OK<\/span><br \/>\npython <span class=\"token parameter variable\">-m<\/span> tests.test_expectimax_reference          <span class=\"token comment\"># Ran 10 tests &#8230; OK<\/span><br \/>\npython <span class=\"token parameter variable\">-m<\/span> tests.test_rl_model_management           <span class=\"token comment\"># Ran 5 tests &#8230; OK<\/span><br \/>\npython <span class=\"token parameter variable\">-m<\/span> tests.test_cross_version                 <span class=\"token comment\"># 41\/41 \u901a\u8fc7<\/span><\/p>\n<p>\u8986\u76d6\u8303\u56f4\u5982\u4e0b\u3002<\/p>\n<p>\u7b97\u6cd5\u6838\u5fc3\u65b9\u9762&#xff0c;\u8986\u76d6\u5408\u5e76\u89c4\u5219\u3001\u56db\u65b9\u5411\u79fb\u52a8\u3001\u65e0\u6548\u79fb\u52a8\u3001\u80dc\u8d1f\u5224\u5b9a\u4e0e\u8bc4\u4f30\u504f\u597d&#xff1b;5 \u7c7b\u7b56\u7565\u5747\u8fd4\u56de\u5408\u6cd5\u65b9\u5411\u4e14\u53ef\u590d\u73b0&#xff1b;Expectimax \u5728\u526a\u679d\u5f00\u5173\u4e0b\u5747\u786e\u5b9a\u3001\u8f6c\u7f6e\u8868\u751f\u6548\u3001\u8d85\u65f6\u4ecd\u8fd4\u56de\u5408\u6cd5\u65b9\u5411&#xff1b;MCTS \u56de\u4f20\u4e0d\u53d8\u91cf\u4e0e spawn \u5206\u5e03&#xff1b;RL \u6709\u6a21\u578b\u4e0e\u65e0\u6a21\u578b\u884c\u4e3a&#xff1b;\u914d\u7f6e API \u4e0e\u5f02\u5e38\u5b89\u5168\u3002<\/p>\n<p>\u5e76\u53d1\u4e0e\u751f\u547d\u5468\u671f\u65b9\u9762&#xff0c;\u4ee5\u300c\u8fdb\u5165\u8ba1\u7b97 &#043; \u653e\u884c\u300d\u540c\u6b65\u5c4f\u969c\u6784\u9020\u786e\u5b9a\u6027\u65f6\u5e8f&#xff0c;\u8986\u76d6\u542f\u52a8\u5373\u505c\u3001\u505c\u6b62\u540e\u542f\u52a8\u65b0\u4efb\u52a1\u800c\u65e7\u7ed3\u679c\u8fdf\u5230\u3001\u5173\u95ed\u7a97\u53e3\u3001\u8fde\u7eed 10 \u6b21\u5728\u9014\u53d6\u6d88&#xff0c;\u4ee5\u53ca\u5728\u9014\u6298\u53e0\u4e0e\u62d6\u52a8\u7f29\u653e&#xff1b;\u65ad\u8a00\u65e7\u7ed3\u679c\u4e0d\u6c61\u67d3\u65b0\u4efb\u52a1\u3001\u7ebf\u7a0b\u53ef\u56de\u6536\u3001\u65e0 QThread: Destroyed&#8230; \u544a\u8b66\u4e14\u8fdb\u7a0b\u5e72\u51c0\u9000\u51fa\u3002<\/p>\n<p>\u754c\u9762\u96c6\u6210\u65b9\u9762&#xff0c;\u8986\u76d6\u53cc\u680f\u5e03\u5c40\u4e0e\u62d6\u62fd\u3001\u6298\u53e0\u6574\u4f53\u9690\u85cf\u4e14\u65e0\u7a7a\u767d\u3001\u8d34\u8fb9\u628a\u624b\u663e\u9690\u4e0e\u8d34\u8fb9\u4e0d\u906e\u6321\u3001\u4e24\u5165\u53e3\u4e00\u81f4\u4e14\u5747\u4e0d\u542f\u52a8\u7b97\u6cd5\u3001\u8fde\u7eed 20 \u6b21\u6298\u53e0\u5c55\u5f00\u65e0\u5bbd\u5ea6\u6f02\u79fb\u4e0e\u91cd\u590d\u4fe1\u53f7\u3001\u8fd0\u884c\u4e2d\u6298\u53e0\u4e0d\u5f71\u54cd\u540e\u53f0\u3001\u72b6\u6001\u6307\u6807\u4e0e\u771f\u5b9e\u6570\u636e\u4e00\u81f4&#xff0c;\u4ee5\u53ca\u5bfc\u51fa\u4e0e\u5bf9\u6bd4\u3002<\/p>\n<p>\u4f1a\u8bdd\u6301\u4e45\u5316\u65b9\u9762&#xff0c;sessions.json \u91c7\u7528\u539f\u5b50\u4fdd\u5b58\u4e0e .bak \u56de\u6eda&#xff0c;\u5728\u5199\u574f\u4e3b\u6587\u4ef6\u4e0e\u5199\u5165\u5931\u8d25\u7684\u6545\u969c\u6ce8\u5165\u4e0b\u4e0d\u4e22\u5386\u53f2\u3001\u4e0d\u4ea7\u751f\u574f\u6587\u4ef6\u3002<\/p>\n<p>\u4ea4\u4e92\u4e0e\u65b9\u5411\u63d0\u793a\u65b9\u9762&#xff0c;\u65b9\u5411\u952e\u5728\u5e94\u7528\u5185\u7edf\u4e00\u8def\u7531&#xff08;\u7126\u70b9\u843d\u5728\u4e0b\u62c9\u6846\u6216\u6309\u94ae\u4e0a\u4ecd\u80fd\u8d70\u5b50\u3001\u4e00\u6b21 KeyPress \u81f3\u591a\u8d70\u4e00\u6b65\u3001\u6b22\u8fce\u9875\u4e0e\u6a21\u6001\u4e0e\u8f93\u5165\u63a7\u4ef6\u4e00\u5f8b\u653e\u884c&#xff09;&#xff1b;\u5355\u6b65\u5efa\u8bae\u5e38\u9a7b\u8ddf\u968f\u3001\u8d70\u5b50\u52a8\u753b\u7ed3\u675f\u81ea\u52a8\u91cd\u7b97&#xff1b;\u65b9\u5411\u63d0\u793a\u7684\u8fb9\u754c\u4e0d\u53d8\u91cf\u4e3a\u4e0d\u8d8a\u51fa\u5916\u8f6e\u5ed3\u3001\u4e0d\u8986\u76d6\u74e6\u7247\u3001\u5176\u4ed6\u4e09\u8fb9\u4e0d\u53d8\u3001\u4eae\u533a\u5360\u8fb9 72%\u201382%\u3001\u5916\u4fa7\u9694\u79bb\u69fd\u4e0e\u4e3b\u4eae\u9762\u6784\u6210\u660e\u6697\u5206\u79bb&#xff0c;\u4e14 B \u5c42\u4e09\u6761\u901a\u9053\u65e0\u7a7a\u901a\u9053&#xff1b;\u81ea\u52a8\u8fde\u8d70\u540c\u6837\u9ad8\u4eae&#xff1b;\u6c42\u89e3\u8fdb\u884c\u4e2d\u5207\u6362\u7b97\u6cd5&#xff08;\u914d\u7f6e\u70ed\u66f4\u65b0\u3001\u65e7\u4efb\u52a1\u8eab\u4efd\u4f5c\u5e9f\u3001\u4f1a\u8bdd\u8bb0\u5f55 strategy_changes&#xff09;\u3002<\/p>\n<p>\u4e0a\u8ff0\u4e0d\u53d8\u91cf\u4ee5\u786e\u5b9a\u6027\u65f6\u5e8f\u52a0\u4ee5\u65ad\u8a00\u3002\u4f8b\u5982\u300c\u8fc7\u671f\u7ed3\u679c\u4e0d\u5f97\u6539\u5199\u65b0\u4efb\u52a1\u72b6\u6001\u300d\u7684\u5224\u5b9a\u76f4\u63a5\u5bf9\u5e94 \u00a71 \u7684\u5145\u8981\u6761\u4ef6\u3002<\/p>\n<p><span class=\"token comment\"># \u65e7 job_id \u7684\u7ed3\u679c\u5230\u8fbe \u2192 \u4e22\u5f03&#xff0c;\u4e14\u4e0d\u5f97\u6e05\u96f6\u65b0\u4efb\u52a1\u7684\u5728\u9014\u6807\u5fd7\u3001\u4e0d\u5f97\u6539\u52a8\u8fdb\u5ea6\u6761<\/span><br \/>\nself<span class=\"token punctuation\">.<\/span>w<span class=\"token punctuation\">.<\/span>_on_solver_result<span class=\"token punctuation\">(<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token string\">&#034;best_direction&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token string\">&#034;left&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;best_name&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token string\">&#034;\u5411\u5de6&#034;<\/span><span class=\"token punctuation\">,<\/span><br \/>\n                             <span class=\"token string\">&#034;evaluations&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token string\">&#034;left&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token number\">1.0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;elapsed_ms&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token number\">1.0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><br \/>\nself<span class=\"token punctuation\">.<\/span>assertTrue<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>w<span class=\"token punctuation\">.<\/span>_solve_in_flight<span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;\u8fc7\u671f\u7ed3\u679c\u6e05\u96f6\u4e86\u65b0\u4efb\u52a1\u7684\u5728\u9014\u6807\u5fd7&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nself<span class=\"token punctuation\">.<\/span>assertEqual<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>w<span class=\"token punctuation\">.<\/span>solver_progress<span class=\"token punctuation\">.<\/span>maximum<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;\u8fc7\u671f\u7ed3\u679c\u6539\u52a8\u4e86\u8fdb\u5ea6\u6761&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u5f53\u524d job_id \u7684\u7ed3\u679c\u624d\u5141\u8bb8\u6536\u5c3e<\/span><br \/>\nself<span class=\"token punctuation\">.<\/span>w<span class=\"token punctuation\">.<\/span>_on_solver_result<span class=\"token punctuation\">(<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token string\">&#034;best_direction&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token string\">&#034;left&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;best_name&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token string\">&#034;\u5411\u5de6&#034;<\/span><span class=\"token punctuation\">,<\/span><br \/>\n                             <span class=\"token string\">&#034;evaluations&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token string\">&#034;left&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token number\">1.0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;elapsed_ms&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token number\">1.0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><br \/>\nself<span class=\"token punctuation\">.<\/span>assertFalse<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>w<span class=\"token punctuation\">.<\/span>_solve_in_flight<span class=\"token punctuation\">)<\/span><\/p>\n<p>\u8de8\u7248\u672c\u56de\u5f52\u53e6\u884c\u8986\u76d6 v2\u2013v5 \u7684\u5b58\u6863\u9694\u79bb\u4e0e\u5f02\u5e38\u9000\u51fa\u6062\u590d&#xff08;\u89c1\u4e0a\u8868 41 \u6761&#xff09;\u3002\u6574\u7a97\u622a\u56fe\u8d70\u7edf\u4e00\u5165\u53e3\u751f\u6210\u5e76\u505a\u95e8\u7981\u6821\u9a8c&#xff1a;<\/p>\n<p>python <span class=\"token parameter variable\">-m<\/span> tools.capture_gui <span class=\"token parameter variable\">&#8211;version<\/span> v5 <span class=\"token parameter variable\">&#8211;scene<\/span> solver      <span class=\"token comment\"># \u5c55\u5f00\u6001&#xff08;\u8fd0\u884c\u4e2d&#xff09;<\/span><br \/>\npython <span class=\"token parameter variable\">-m<\/span> tools.capture_gui <span class=\"token parameter variable\">&#8211;version<\/span> v5 <span class=\"token parameter variable\">&#8211;scene<\/span> collapsed    <span class=\"token comment\"># \u6298\u53e0\u6001&#xff08;\u8d34\u8fb9\u628a\u624b&#xff09;<\/span><\/p>\n<p>\u6309\u9879\u76ee\u89c4\u8303&#xff0c;CAPTURE\u3001STRUCTURE\u3001TEXT \u4e09\u9053\u95e8\u7981\u53ef\u81ea\u52a8\u5224\u5b9a&#xff0c;VISUAL_PASS \u987b\u4eba\u5de5\u6838\u5bf9\u56fe\u50cf\u540e\u6388\u4e88&#xff0c;\u672a\u6838\u9a8c\u4e00\u5f8b\u8bb0\u4e3a UNVERIFIED\u3002<\/p>\n<hr \/>\n<h3>7. \u6027\u80fd\u4e0e\u590d\u6742\u5ea6<\/h3>\n<p>\u5206\u652f\u6570\u968f\u6df1\u5ea6\u6307\u6570\u589e\u957f&#xff0c;\u6545\u7edf\u4e00\u4ee5\u65f6\u95f4\u9884\u7b97\u3001\u8fed\u4ee3\u52a0\u6df1&#xff08;\u6216\u6a21\u62df\u6b21\u6570\u4e0a\u9650&#xff09;\u4e0e\u526a\u679d\u5c06\u4e0d\u786e\u5b9a\u6027\u7eb3\u5165\u9884\u7b97\u7ea6\u675f\u3002\u6807\u51c6\u5f3a\u5ea6\u4e0b\u7684\u5b9e\u6d4b\u5355\u6b65\u8017\u65f6\u5982\u4e0b\u3002<\/p>\n<table>\n<tr>\u573a\u666f\u53c2\u6570\u5355\u6b65\u8017\u65f6<\/tr>\n<tbody>\n<tr>\n<td>\u542f\u53d1\u5f0f<\/td>\n<td>\u2014<\/td>\n<td>&lt; 1ms<\/td>\n<\/tr>\n<tr>\n<td>\u8d2a\u5fc3\u6a21\u62df \u00b7 \u6807\u51c6<\/td>\n<td>rollout\u00d720&#xff0c;\u6df1\u5ea6 16<\/td>\n<td>\u7ea6 40\u201360ms<\/td>\n<\/tr>\n<tr>\n<td>Expectimax \u00b7 \u6807\u51c6&#xff08;\u542b\u526a\u679d&#xff09;<\/td>\n<td>\u6df1\u5ea6 4&#xff0c;0.30s<\/td>\n<td>\u7ea6 25\u201360ms<\/td>\n<\/tr>\n<tr>\n<td>MCTS \u00b7 \u6807\u51c6<\/td>\n<td>200 \u6b21\u6a21\u62df<\/td>\n<td>\u7ea6 200ms&#xff08;\u22640.3s \u9884\u7b97&#xff09;<\/td>\n<\/tr>\n<tr>\n<td>\u5f3a\u5316\u5b66\u4e60<\/td>\n<td>\u4e00\u6b21\u524d\u5411&#xff08;\u547d\u4e2d\u6a21\u578b\u7f13\u5b58&#xff09;<\/td>\n<td>&lt; 1ms<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u7531\u6027\u80fd\u5256\u6790\u5b9a\u4f4d\u5e76\u4fee\u590d\u7684\u70ed\u70b9\u6709\u4e24\u5904\u3002\u5176\u4e00\u4e3a RL \u63a8\u7406&#xff1a;\u65e9\u671f\u6bcf\u6b65\u5747\u4ece\u78c1\u76d8 load_model&#xff0c;\u7ea6\u5360 RL \u5355\u6b65\u8017\u65f6\u7684 74%&#xff1b;\u6539\u4e3a\u6309\u8def\u5f84\u4e0e\u6587\u4ef6\u8eab\u4efd\u7f13\u5b58\u540e&#xff0c;\u6a21\u578b\u52a0\u8f7d\u7531 cold\u22482.75ms \u964d\u81f3 warm\u22480.10ms\u3002\u5176\u4e8c\u4e3a\u4f1a\u8bdd\u5199\u76d8&#xff1a;\u6c42\u89e3\u505c\u6b62\u4f1a\u91cd\u5199\u4f1a\u8bdd\u5386\u53f2&#xff0c;\u5f53\u5386\u53f2\u8f83\u5927&#xff08;\u7ea6 3.1MB\u30011.1 \u4e07\u6b65&#xff09;\u65f6 json.dump(indent&#061;2) \u7684\u6d41\u5f0f\u5c0f\u5199\u5165\u53ef\u8fbe\u7ea6 0.9s&#xff0c;\u963b\u585e\u505c\u6b62\u8def\u5f84&#xff1b;\u6539\u4e3a\u7d27\u51d1\u5e8f\u5217\u5316\u4e0e\u5355\u6b21\u5927\u5199\u5165\u540e\u964d\u81f3\u7ea6 0.14s&#xff0c;\u8f93\u51fa\u4ecd\u4e3a\u6807\u51c6 JSON&#xff0c;\u8bfb\u53d6\u517c\u5bb9\u3002<\/p>\n<p>RL \u63a8\u7406\u70ed\u70b9\u7684\u4fee\u590d\u4ee5\u6587\u4ef6\u8eab\u4efd\u4f5c\u4e3a\u7f13\u5b58\u952e&#xff0c;\u517c\u987e\u901f\u5ea6\u4e0e\u4e0d\u9648\u65e7\u3002<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_rl_file_identity<\/span><span class=\"token punctuation\">(<\/span>path<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    st <span class=\"token operator\">&#061;<\/span> os<span class=\"token punctuation\">.<\/span>stat<span class=\"token punctuation\">(<\/span>path<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">(<\/span>os<span class=\"token punctuation\">.<\/span>path<span class=\"token punctuation\">.<\/span>normcase<span class=\"token punctuation\">(<\/span>os<span class=\"token punctuation\">.<\/span>path<span class=\"token punctuation\">.<\/span>abspath<span class=\"token punctuation\">(<\/span>path<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">(<\/span>st<span class=\"token punctuation\">.<\/span>st_size<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">(<\/span>st<span class=\"token punctuation\">.<\/span>st_mtime_ns<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>_RL_MODEL_CACHE <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token string\">&#039;key&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;net&#039;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">_load_rl_model_cached<\/span><span class=\"token punctuation\">(<\/span>path<span class=\"token punctuation\">,<\/span> loader<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    ident <span class=\"token operator\">&#061;<\/span> _rl_file_identity<span class=\"token punctuation\">(<\/span>path<span class=\"token punctuation\">)<\/span>          <span class=\"token comment\"># \u952e &#061; \u89c4\u8303\u5316\u8def\u5f84 &#043; (size, mtime_ns)<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> _RL_MODEL_CACHE<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;key&#039;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> ident <span class=\"token keyword\">and<\/span> _RL_MODEL_CACHE<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;net&#039;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token keyword\">is<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> _RL_MODEL_CACHE<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;net&#039;<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    net <span class=\"token operator\">&#061;<\/span> loader<span class=\"token punctuation\">(<\/span>path<span class=\"token punctuation\">)<\/span><br \/>\n    _RL_MODEL_CACHE<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;key&#039;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> ident<br \/>\n    _RL_MODEL_CACHE<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;net&#039;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> net<br \/>\n    <span class=\"token keyword\">return<\/span> net<\/p>\n<p>\u7f13\u5b58\u952e\u5305\u542b\u89c4\u8303\u5316\u8def\u5f84\u4e0e\u6587\u4ef6\u8eab\u4efd&#xff0c;\u6a21\u578b\u88ab\u539f\u5b50\u66ff\u6362&#xff08;mtime_ns \u6539\u53d8&#xff09;\u65f6\u81ea\u52a8\u5931\u6548\u5e76\u91cd\u8f7d&#xff0c;\u56e0\u800c\u5728\u907f\u514d\u6bcf\u6b65\u8bfb\u76d8\u7684\u540c\u65f6\u4e0d\u4f1a\u8fd4\u56de\u9648\u65e7\u6a21\u578b\u3002\u4f1a\u8bdd\u5199\u76d8\u7684\u7d27\u51d1\u5e8f\u5217\u5316\u4e0e \u00a71 \u7684\u539f\u5b50\u4fdd\u5b58\u5171\u7528\u540c\u4e00\u5b9e\u73b0\u3002<\/p>\n<hr \/>\n<h3>8. \u5c0f\u7ed3<\/h3>\n<p>\u672c\u7bc7\u5c06\u6c42\u89e3\u5185\u6838\u5d4c\u5165\u4e00\u4e2a\u53ef\u7528\u7684\u5de5\u4f5c\u53f0&#xff0c;\u5176\u8981\u70b9\u4e3a\u56db\u9879&#xff1a;\u903b\u8f91\u72ec\u7acb\u3001\u641c\u7d22\u6709\u9884\u7b97\u3001\u5e76\u53d1\u4e00\u81f4\u3001\u5efa\u8bae\u53ef\u89c1\u3002<\/p>\n<p>solver_2048 \u4fdd\u6301\u7eaf\u903b\u8f91&#xff0c;\u53ef\u5355\u72ec\u6d4b\u8bd5\u4e0e\u8fd0\u884c\u57fa\u51c6&#xff0c;\u754c\u9762\u4e0e\u7b97\u6cd5\u4e92\u4e0d\u8026\u5408\u3002\u641c\u7d22\u7edf\u4e00\u4ee5\u65f6\u95f4\u9884\u7b97\u3001\u8fed\u4ee3\u52a0\u6df1\u3001\u526a\u679d\u3001\u786e\u5b9a\u6027\u79cd\u5b50\u4e0e\u5f02\u5e38\u515c\u5e95\u7ea6\u675f&#xff0c;\u4f7f\u53ef\u8ba1\u7b97\u6027\u4e0d\u4ee5\u53ef\u7528\u6027\u4e3a\u4ee3\u4ef7\u3002\u5e76\u53d1\u65b9\u9762\u4ee5\u4efb\u52a1\u8eab\u4efd\u3001\u68cb\u76d8\u5feb\u7167\u3001\u534f\u4f5c\u5f0f\u53d6\u6d88\u4e0e\u9000\u4f11\u7ebf\u7a0b\u56de\u6536\u4fdd\u8bc1\u65e7\u7ed3\u679c\u4e0d\u6c61\u67d3\u65b0\u4efb\u52a1&#xff1b;\u4f1a\u8bdd\u5386\u53f2\u539f\u5b50\u4fdd\u5b58\u4e14\u53ef\u56de\u6eda&#xff0c;\u5199\u5165\u4e2d\u65ad\u4e0d\u4e22\u5386\u53f2\u3002\u4ea4\u4e92\u65b9\u9762\u5c06\u65b9\u5411\u952e\u6536\u655b\u4e3a\u5355\u4e00\u5165\u53e3&#xff0c;\u4f7f\u5355\u6b65\u5efa\u8bae\u5e38\u9a7b\u8ddf\u968f&#xff0c;\u5728\u68cb\u76d8\u539f\u751f\u8fb9\u6846\u5185\u7ed8\u5236\u65b9\u5411\u63d0\u793a&#xff0c;\u81ea\u52a8\u8fde\u8d70\u540c\u6837\u751f\u6548&#xff0c;\u5e76\u652f\u6301\u6c42\u89e3\u8fdb\u884c\u4e2d\u5207\u6362\u7b97\u6cd5\u3002<\/p>\n<p>\u7b2c 4 \u7248\u7684\u68cb\u76d8\u3001\u52a8\u753b\u3001\u64a4\u9500\u91cd\u505a\u4e0e\u5b58\u6863\u5747\u672a\u4fee\u6539&#xff0c;\u5374\u88ab\u6269\u5c55\u4e3a\u53ef\u6c42\u89e3\u7684 2048&#xff0c;\u8fd9\u4f53\u73b0\u4e86 MVC \u5206\u5c42\u4e0e\u7eaf\u903b\u8f91\u5185\u6838\u7684\u4ef7\u503c\u3002<\/p>\n<p>V5.1 \u53e6\u5916\u5b8c\u6210\u4e86\u4e00\u8f6e\u53d1\u5e03\u524d\u9a8c\u6536&#xff0c;\u5305\u62ec\u786e\u5b9a\u6027\u6b63\u786e\u6027\u6d4b\u8bd5\u3001\u5728\u9014\u53d6\u6d88\u4e0e\u7ebf\u7a0b\u751f\u547d\u5468\u671f\u538b\u529b\u3001\u6210\u529f\u4e0e\u5931\u8d25\u53ca\u5173\u95ed\u4e0e\u91cd\u542f\u7684\u7ade\u6001\u7528\u4f8b\u3001\u6574\u7a97\u622a\u56fe\u95e8\u7981&#xff08;CAPTURE\u3001STRUCTURE\u3001TEXT \u81ea\u52a8\u5224\u5b9a&#xff0c;VISUAL \u9700\u4eba\u5de5\u6838\u5bf9&#xff09;&#xff0c;\u4ee5\u53ca\u8de8\u7248\u672c\u56de\u5f52&#xff1b;\u6b63\u5f0f RL \u6a21\u578b\u5728\u6821\u9a8c\u4e0e\u72ec\u7acb holdout \u95e8\u7981\u4e0b\u4fdd\u6301\u4e0d\u53d8\u3002<\/p>\n<p>\u8be5\u5e76\u53d1\u9aa8\u67b6&#xff08;\u540e\u53f0\u7ebf\u7a0b\u3001\u4efb\u52a1\u8eab\u4efd\u4e0e\u5feb\u7167\u6821\u9a8c&#xff09;\u53ef\u8fc1\u79fb\u81f3\u5176\u4ed6\u957f\u65f6\u95f4\u8ba1\u7b97\u4e0e\u5b9e\u65f6\u754c\u9762\u5e76\u5b58\u7684\u573a\u666f&#xff1b;\u5b83\u63d0\u4f9b\u534f\u4f5c\u5f0f\u53d6\u6d88\u4e0e\u6709\u754c\u8fd4\u56de&#xff0c;\u800c\u975e\u5373\u65f6\u4e2d\u65ad&#xff0c;\u4e5f\u4e0d\u5305\u542b\u9762\u5411\u591a\u7528\u6237\u7684\u961f\u5217\u4e0e\u9274\u6743\u3002<\/p>\n<hr \/>\n<p>\u4e0a\u4e00\u7bc7&#xff1a;\u7b2c 5 \u7bc7&#xff08;\u4e0a&#xff09;\u00b7 \u4f7f\u7528 PyQt5 \u5b9e\u73b0 2048 \u7b97\u6cd5\u6c42\u89e3\u7248&#xff1a;\u4e94\u7c7b\u641c\u7d22\u7b97\u6cd5\u5185\u6838<\/p>\n<p>\u4e0b\u4e00\u7bc7&#xff1a;\u7b2c 6 \u7bc7&#xff08;\u4e0a&#xff09;\u00b7 \u4f7f\u7528 PyQt5 \u5b9e\u73b0 2048 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