{"id":980079,"date":"2024-12-27T06:51:39","date_gmt":"2024-12-26T22:51:39","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/980079.html"},"modified":"2024-12-27T06:51:41","modified_gmt":"2024-12-26T22:51:41","slug":"%e5%a6%82%e4%bd%95%e7%94%a8python%e5%88%86%e8%a7%a3%e5%9b%a0%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/980079.html","title":{"rendered":"\u5982\u4f55\u7528python\u5206\u89e3\u56e0\u5f0f"},"content":{"rendered":"<p style=\"text-align:center;\" ><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/24205636\/ffa9c1b8-ad2d-4c3d-a8b1-bd2c814a47d6.webp\" alt=\"\u5982\u4f55\u7528python\u5206\u89e3\u56e0\u5f0f\" \/><\/p>\n<p><p> <strong>\u4f7f\u7528Python\u5206\u89e3\u56e0\u5f0f\u7684\u65b9\u6cd5\u6709\u591a\u79cd\uff0c\u5305\u62ec\u4f7f\u7528SymPy\u5e93\u3001\u7f16\u5199\u81ea\u5b9a\u4e49\u51fd\u6570\u3001\u5e94\u7528\u6570\u5b66\u7b97\u6cd5\u7b49\u3002SymPy\u5e93\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u7b26\u53f7\u6570\u5b66\u80fd\u529b\uff0c\u53ef\u4ee5\u8f7b\u677e\u5730\u5206\u89e3\u591a\u9879\u5f0f\u56e0\u5f0f\u3001\u6267\u884c\u4ee3\u6570\u8ba1\u7b97\u3002\u7f16\u5199\u81ea\u5b9a\u4e49\u51fd\u6570\u53ef\u4ee5\u8ba9\u4f60\u6df1\u5165\u7406\u89e3\u7b97\u6cd5\u8fc7\u7a0b\uff0c\u800c\u6570\u5b66\u7b97\u6cd5\u5982\u6b27\u51e0\u91cc\u5f97\u7b97\u6cd5\u3001\u8bd5\u9664\u6cd5\u7b49\u53ef\u4ee5\u7528\u4e8e\u7279\u5b9a\u60c5\u51b5\u7684\u56e0\u5f0f\u5206\u89e3\u3002<\/strong>\u4e0b\u9762\u5c06\u8be6\u7ec6\u4ecb\u7ecd\u5982\u4f55\u4f7f\u7528\u8fd9\u4e9b\u65b9\u6cd5\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002<\/p>\n<\/p>\n<p><p>\u4e00\u3001\u4f7f\u7528SYMPY\u5e93\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3<\/p>\n<\/p>\n<p><p>SymPy\u662f\u4e00\u4e2aPython\u5e93\uff0c\u4e13\u95e8\u7528\u4e8e\u7b26\u53f7\u8ba1\u7b97\u548c\u4ee3\u6570\u8fd0\u7b97\u3002\u5b83\u7684<code>factor()<\/code>\u51fd\u6570\u53ef\u4ee5\u7528\u4e8e\u5206\u89e3\u591a\u9879\u5f0f\u56e0\u5f0f\u3002<\/p>\n<\/p>\n<ol>\n<li>\n<p><strong>\u5b89\u88c5\u548c\u5bfc\u5165SymPy\u5e93<\/strong><\/p>\n<\/p>\n<p><p>\u5728\u4f7f\u7528SymPy\u4e4b\u524d\uff0c\u9700\u8981\u786e\u4fdd\u5df2\u7ecf\u5b89\u88c5\u8be5\u5e93\u3002\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u547d\u4ee4\u5b89\u88c5\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-bash\">pip install sympy<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u7136\u540e\u5728Python\u4ee3\u7801\u4e2d\u5bfc\u5165SymPy\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">from sympy import symbols, factor<\/p>\n<p><\/code><\/pre>\n<\/p>\n<\/li>\n<li>\n<p><strong>\u5206\u89e3\u591a\u9879\u5f0f<\/strong><\/p>\n<\/p>\n<p><p>\u4f7f\u7528SymPy\u5206\u89e3\u591a\u9879\u5f0f\u975e\u5e38\u7b80\u5355\u3002\u9996\u5148\uff0c\u9700\u8981\u5b9a\u4e49\u7b26\u53f7\u53d8\u91cf\uff0c\u7136\u540e\u8c03\u7528<code>factor()<\/code>\u51fd\u6570\u3002\u4f8b\u5982\uff0c\u5206\u89e3\u591a\u9879\u5f0f(x^2 &#8211; 4)\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">x = symbols(&#39;x&#39;)<\/p>\n<p>expr = x2 - 4<\/p>\n<p>factored_expr = factor(expr)<\/p>\n<p>print(factored_expr)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u8f93\u51fa\u5c06\u662f((x &#8211; 2)(x + 2))\uff0c\u8fd9\u662f\u56e0\u5f0f\u5206\u89e3\u540e\u7684\u7ed3\u679c\u3002<\/p>\n<\/p>\n<\/li>\n<\/ol>\n<p><p>\u4e8c\u3001\u7f16\u5199\u81ea\u5b9a\u4e49\u51fd\u6570\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3<\/p>\n<\/p>\n<p><p>\u867d\u7136SymPy\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u529f\u80fd\uff0c\u4f46\u7f16\u5199\u81ea\u5b9a\u4e49\u51fd\u6570\u53ef\u4ee5\u5e2e\u52a9\u4f60\u66f4\u597d\u5730\u7406\u89e3\u56e0\u5f0f\u5206\u89e3\u7684\u8fc7\u7a0b\u548c\u539f\u7406\u3002<\/p>\n<\/p>\n<ol>\n<li>\n<p><strong>\u8bd5\u9664\u6cd5<\/strong><\/p>\n<\/p>\n<p><p>\u8bd5\u9664\u6cd5\u662f\u4e00\u79cd\u7b80\u5355\u7684\u6574\u6570\u56e0\u5f0f\u5206\u89e3\u65b9\u6cd5\uff0c\u9002\u7528\u4e8e\u5c0f\u6574\u6570\u3002\u57fa\u672c\u601d\u60f3\u662f\u4ece\u5c0f\u5230\u5927\u5c1d\u8bd5\u6574\u6570\uff0c\u76f4\u5230\u627e\u5230\u4e00\u4e2a\u56e0\u6570\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">def trial_division(n):<\/p>\n<p>    factors = []<\/p>\n<p>    d = 2<\/p>\n<p>    while d * d &lt;= n:<\/p>\n<p>        while (n % d) == 0:<\/p>\n<p>            factors.append(d)<\/p>\n<p>            n \/\/= d<\/p>\n<p>        d += 1<\/p>\n<p>    if n &gt; 1:<\/p>\n<p>        factors.append(n)<\/p>\n<p>    return factors<\/p>\n<p>number = 56<\/p>\n<p>print(trial_division(number))<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u8f93\u51fa\u5c06\u662f([2, 2, 2, 7])\uff0c\u4ee3\u886856\u7684\u56e0\u5f0f\u5206\u89e3\u7ed3\u679c\u3002<\/p>\n<\/p>\n<\/li>\n<li>\n<p><strong>\u8f97\u8f6c\u76f8\u9664\u6cd5<\/strong><\/p>\n<\/p>\n<p><p>\u8f97\u8f6c\u76f8\u9664\u6cd5\uff08\u6b27\u51e0\u91cc\u5f97\u7b97\u6cd5\uff09\u7528\u4e8e\u8ba1\u7b97\u4e24\u4e2a\u6570\u7684\u6700\u5927\u516c\u7ea6\u6570\uff0c\u53ef\u4ee5\u5e2e\u52a9\u5206\u89e3\u56e0\u5f0f\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">def gcd(a, b):<\/p>\n<p>    while b:<\/p>\n<p>        a, b = b, a % b<\/p>\n<p>    return a<\/p>\n<p>print(gcd(48, 18))<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u8f93\u51fa\u5c06\u662f6\uff0c\u8fd9\u662f48\u548c18\u7684\u6700\u5927\u516c\u7ea6\u6570\u3002<\/p>\n<\/p>\n<\/li>\n<\/ol>\n<p><p>\u4e09\u3001\u5e94\u7528\u6570\u5b66\u7b97\u6cd5\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3<\/p>\n<\/p>\n<ol>\n<li>\n<p><strong>Pollard&#39;s Rho\u7b97\u6cd5<\/strong><\/p>\n<\/p>\n<p><p>Pollard&#39;s Rho\u662f\u4e00\u79cd\u968f\u673a\u5316\u7b97\u6cd5\uff0c\u9002\u7528\u4e8e\u5927\u6574\u6570\u7684\u56e0\u5f0f\u5206\u89e3\u3002\u5176\u6838\u5fc3\u601d\u60f3\u662f\u5229\u7528\u4f2a\u968f\u673a\u6570\u751f\u6210\u5668\u5bfb\u627e\u56e0\u6570\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import random<\/p>\n<p>def pollards_rho(n):<\/p>\n<p>    if n % 2 == 0:<\/p>\n<p>        return 2<\/p>\n<p>    x = random.randint(2, n-1)<\/p>\n<p>    y = x<\/p>\n<p>    c = random.randint(1, n-1)<\/p>\n<p>    d = 1<\/p>\n<p>    while d == 1:<\/p>\n<p>        x = (x*x + c) % n<\/p>\n<p>        y = (y*y + c) % n<\/p>\n<p>        y = (y*y + c) % n<\/p>\n<p>        d = gcd(abs(x-y), n)<\/p>\n<p>    return d<\/p>\n<p>number = 8051<\/p>\n<p>print(pollards_rho(number))<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u8be5\u7b97\u6cd5\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u53ef\u4ee5\u5feb\u901f\u627e\u5230\u56e0\u6570\u3002<\/p>\n<\/p>\n<\/li>\n<li>\n<p><strong>\u6574\u6570\u5206\u89e3\u7684\u6570\u8bba\u51fd\u6570<\/strong><\/p>\n<\/p>\n<p><p>\u6570\u8bba\u4e2d\u6709\u8bb8\u591a\u51fd\u6570\u53ef\u4ee5\u7528\u4e8e\u56e0\u5f0f\u5206\u89e3\uff0c\u4f8b\u5982\u6b27\u62c9\u51fd\u6570\u3001\u6885\u6bd4\u4e4c\u65af\u51fd\u6570\u7b49\u3002\u8fd9\u4e9b\u51fd\u6570\u53ef\u4ee5\u5e2e\u52a9\u7406\u89e3\u6574\u6570\u7684\u6027\u8d28\u548c\u56e0\u5f0f\u5206\u89e3\u7684\u7ed3\u6784\u3002<\/p>\n<\/p>\n<\/li>\n<\/ol>\n<p><p>\u56db\u3001\u7ed3\u5408\u591a\u79cd\u65b9\u6cd5\u63d0\u9ad8\u56e0\u5f0f\u5206\u89e3\u7684\u6548\u7387<\/p>\n<\/p>\n<p><p>\u5728\u5b9e\u8df5\u4e2d\uff0c\u5355\u4e00\u65b9\u6cd5\u53ef\u80fd\u4e0d\u8db3\u4ee5\u9ad8\u6548\u5730\u5206\u89e3\u590d\u6742\u7684\u56e0\u5f0f\u3002\u7ed3\u5408\u591a\u79cd\u65b9\u6cd5\u53ef\u4ee5\u63d0\u9ad8\u6548\u7387\u3002\u4f8b\u5982\uff0c\u53ef\u4ee5\u5148\u4f7f\u7528\u8bd5\u9664\u6cd5\u53bb\u6389\u5c0f\u56e0\u6570\uff0c\u7136\u540e\u4f7f\u7528Pollard&#39;s Rho\u7b97\u6cd5\u5904\u7406\u5269\u4f59\u90e8\u5206\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">def combined_factorization(n):<\/p>\n<p>    factors = trial_division(n)<\/p>\n<p>    rem<a href=\"https:\/\/docs.pingcode.com\/blog\/59162.html\" target=\"_blank\">AI<\/a>ning = n<\/p>\n<p>    for factor in factors:<\/p>\n<p>        remaining \/\/= factor<\/p>\n<p>    if remaining &gt; 1:<\/p>\n<p>        factors.append(pollards_rho(remaining))<\/p>\n<p>    return factors<\/p>\n<p>number = 8051<\/p>\n<p>print(combined_factorization(number))<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u8fd9\u79cd\u65b9\u6cd5\u53ef\u4ee5\u66f4\u5168\u9762\u5730\u5904\u7406\u5404\u79cd\u60c5\u51b5\uff0c\u63d0\u9ad8\u56e0\u5f0f\u5206\u89e3\u7684\u6210\u529f\u7387\u3002<\/p>\n<\/p>\n<p><p>\u4e94\u3001\u5b9e\u9645\u5e94\u7528\u4e2d\u7684\u56e0\u5f0f\u5206\u89e3<\/p>\n<\/p>\n<p><p>\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u56e0\u5f0f\u5206\u89e3\u7528\u4e8e\u5bc6\u7801\u5b66\u3001\u6570\u8bba\u7814\u7a76\u548c\u5de5\u7a0b\u8ba1\u7b97\u7b49\u9886\u57df\u3002\u7406\u89e3\u56e0\u5f0f\u5206\u89e3\u7b97\u6cd5\u7684\u539f\u7406\u548c\u5b9e\u73b0\u65b9\u6cd5\u53ef\u4ee5\u5e2e\u52a9\u89e3\u51b3\u5404\u79cd\u5b9e\u9645\u95ee\u9898\u3002<\/p>\n<\/p>\n<ol>\n<li>\n<p><strong>\u5728\u5bc6\u7801\u5b66\u4e2d\u7684\u5e94\u7528<\/strong><\/p>\n<\/p>\n<p><p>\u56e0\u5f0f\u5206\u89e3\u5728RSA\u52a0\u5bc6\u7b97\u6cd5\u4e2d\u8d77\u5230\u5173\u952e\u4f5c\u7528\u3002RSA\u7684\u5b89\u5168\u6027\u4f9d\u8d56\u4e8e\u5927\u6574\u6570\u56e0\u5f0f\u5206\u89e3\u7684\u56f0\u96be\u6027\u3002\u7406\u89e3\u56e0\u5f0f\u5206\u89e3\u7b97\u6cd5\u6709\u52a9\u4e8e\u8bc4\u4f30\u52a0\u5bc6\u7cfb\u7edf\u7684\u5b89\u5168\u6027\u3002<\/p>\n<\/p>\n<\/li>\n<li>\n<p><strong>\u5728\u6570\u8bba\u7814\u7a76\u4e2d\u7684\u5e94\u7528<\/strong><\/p>\n<\/p>\n<p><p>\u56e0\u5f0f\u5206\u89e3\u662f\u6570\u8bba\u7814\u7a76\u4e2d\u7684\u57fa\u7840\u95ee\u9898\uff0c\u8bb8\u591a\u6570\u8bba\u5b9a\u7406\u548c\u7b97\u6cd5\u90fd\u4f9d\u8d56\u4e8e\u56e0\u5f0f\u5206\u89e3\u3002\u901a\u8fc7\u7f16\u7a0b\u5b9e\u73b0\u56e0\u5f0f\u5206\u89e3\u7b97\u6cd5\uff0c\u53ef\u4ee5\u6df1\u5165\u7406\u89e3\u6570\u8bba\u7684\u57fa\u672c\u539f\u7406\u3002<\/p>\n<\/p>\n<\/li>\n<li>\n<p><strong>\u5728\u5de5\u7a0b\u8ba1\u7b97\u4e2d\u7684\u5e94\u7528<\/strong><\/p>\n<\/p>\n<p><p>\u5728\u5de5\u7a0b\u8ba1\u7b97\u4e2d\uff0c\u56e0\u5f0f\u5206\u89e3\u53ef\u4ee5\u7528\u4e8e\u4f18\u5316\u8ba1\u7b97\u8fc7\u7a0b\u3001\u7b80\u5316\u95ee\u9898\u7ed3\u6784\u3002\u7406\u89e3\u56e0\u5f0f\u5206\u89e3\u7684\u7b97\u6cd5\u5b9e\u73b0\u6709\u52a9\u4e8e\u8bbe\u8ba1\u9ad8\u6548\u7684\u5de5\u7a0b\u89e3\u51b3\u65b9\u6848\u3002<\/p>\n<\/p>\n<\/li>\n<\/ol>\n<p><p>\u603b\u7ed3\uff0c\u4f7f\u7528Python\u5206\u89e3\u56e0\u5f0f\u6709\u591a\u79cd\u65b9\u6cd5\uff0cSymPy\u5e93\u63d0\u4f9b\u4e86\u4fbf\u6377\u7684\u5de5\u5177\uff0c\u81ea\u5b9a\u4e49\u51fd\u6570\u548c\u6570\u5b66\u7b97\u6cd5\u53ef\u4ee5\u6df1\u5165\u7406\u89e3\u56e0\u5f0f\u5206\u89e3\u7684\u539f\u7406\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u56e0\u5f0f\u5206\u89e3\u5728\u5bc6\u7801\u5b66\u3001\u6570\u8bba\u7814\u7a76\u548c\u5de5\u7a0b\u8ba1\u7b97\u4e2d\u5177\u6709\u91cd\u8981\u4f5c\u7528\u3002\u7ed3\u5408\u591a\u79cd\u65b9\u6cd5\u53ef\u4ee5\u63d0\u9ad8\u56e0\u5f0f\u5206\u89e3\u7684\u6548\u7387\u548c\u6210\u529f\u7387\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p> <strong>\u5982\u4f55\u7528Python\u5b9e\u73b0\u56e0\u5f0f\u5206\u89e3\u7684\u57fa\u672c\u6b65\u9aa4\u662f\u4ec0\u4e48\uff1f<\/strong><br \/>\u5728Python\u4e2d\uff0c\u5b9e\u73b0\u56e0\u5f0f\u5206\u89e3\u901a\u5e38\u53ef\u4ee5\u4f7f\u7528SymPy\u5e93\u3002\u8fd9\u4e2a\u5e93\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u7b26\u53f7\u8ba1\u7b97\u529f\u80fd\u3002\u9996\u5148\uff0c\u786e\u4fdd\u5df2\u7ecf\u5b89\u88c5SymPy\u5e93\uff0c\u53ef\u4ee5\u901a\u8fc7<code>pip install sympy<\/code>\u547d\u4ee4\u5b89\u88c5\u3002\u63a5\u4e0b\u6765\uff0c\u4f7f\u7528<code>sympy.factor()<\/code>\u51fd\u6570\u6765\u8f93\u5165\u8868\u8fbe\u5f0f\u5e76\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002\u8fd9\u5c06\u8fd4\u56de\u5206\u89e3\u540e\u7684\u56e0\u5f0f\u5217\u8868\uff0c\u65b9\u4fbf\u7528\u6237\u8fdb\u4e00\u6b65\u5904\u7406\u3002<\/p>\n<p><strong>\u56e0\u5f0f\u5206\u89e3\u7684\u5e94\u7528\u573a\u666f\u6709\u54ea\u4e9b\uff1f<\/strong><br \/>\u56e0\u5f0f\u5206\u89e3\u5728\u6570\u5b66\u3001\u5de5\u7a0b\u3001\u8ba1\u7b97\u673a\u79d1\u5b66\u7b49\u9886\u57df\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\u3002\u5b83\u53ef\u4ee5\u5e2e\u52a9\u89e3\u51b3\u591a\u9879\u5f0f\u65b9\u7a0b\uff0c\u7b80\u5316\u6570\u5b66\u8868\u8fbe\u5f0f\uff0c\u4f18\u5316\u7b97\u6cd5\uff0c\u751a\u81f3\u5728<a href=\"https:\/\/docs.pingcode.com\/ask\/59192.html\" target=\"_blank\">\u673a\u5668\u5b66\u4e60<\/a>\u6a21\u578b\u4e2d\u8fdb\u884c\u7279\u5f81\u9009\u62e9\u3002\u901a\u8fc7\u5c06\u590d\u6742\u7684\u591a\u9879\u5f0f\u5206\u89e3\u4e3a\u7b80\u5355\u56e0\u5b50\uff0c\u53ef\u4ee5\u66f4\u5bb9\u6613\u5730\u5206\u6790\u548c\u7406\u89e3\u6570\u636e\u3002<\/p>\n<p><strong>\u5728Python\u4e2d\uff0c\u5982\u4f55\u5904\u7406\u590d\u6742\u7684\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\uff1f<\/strong><br \/>\u5904\u7406\u590d\u6742\u591a\u9879\u5f0f\u7684\u56e0\u5f0f\u5206\u89e3\u65f6\uff0c\u53ef\u4ee5\u5229\u7528SymPy\u7684<code>sympy.poly()<\/code>\u51fd\u6570\u3002\u8be5\u51fd\u6570\u80fd\u591f\u5c06\u591a\u9879\u5f0f\u8f6c\u6362\u4e3a\u591a\u9879\u5f0f\u5bf9\u8c61\uff0c\u4e4b\u540e\u53ef\u901a\u8fc7\u8c03\u7528<code>factor()<\/code>\u65b9\u6cd5\u8fdb\u884c\u5206\u89e3\u3002\u5bf9\u4e8e\u66f4\u9ad8\u6b21\u7684\u591a\u9879\u5f0f\uff0c\u53ef\u80fd\u9700\u8981\u7ed3\u5408\u5176\u4ed6\u6570\u5b66\u5de5\u5177\u548c\u65b9\u6cd5\uff0c\u5982\u6570\u503c\u89e3\u6cd5\u6216\u56fe\u5f62\u5316\u5de5\u5177\uff0c\u4ee5\u786e\u4fdd\u7ed3\u679c\u7684\u51c6\u786e\u6027\u548c\u53ef\u8bfb\u6027\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u4f7f\u7528Python\u5206\u89e3\u56e0\u5f0f\u7684\u65b9\u6cd5\u6709\u591a\u79cd\uff0c\u5305\u62ec\u4f7f\u7528SymPy\u5e93\u3001\u7f16\u5199\u81ea\u5b9a\u4e49\u51fd\u6570\u3001\u5e94\u7528\u6570\u5b66\u7b97\u6cd5\u7b49\u3002SymPy\u5e93\u63d0\u4f9b\u4e86 [&hellip;]","protected":false},"author":3,"featured_media":980086,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/980079"}],"collection":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/comments?post=980079"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/980079\/revisions"}],"predecessor-version":[{"id":980089,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/980079\/revisions\/980089"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/980086"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=980079"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=980079"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=980079"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}