{"id":165,"date":"2026-05-19T18:03:47","date_gmt":"2026-05-19T10:03:47","guid":{"rendered":"https:\/\/huxiaole.cloud\/?p=165"},"modified":"2026-05-19T18:10:17","modified_gmt":"2026-05-19T10:10:17","slug":"%e6%b4%9b%e8%b0%b7p3601-%e7%ad%be%e5%88%b0%e9%a2%98","status":"publish","type":"post","link":"https:\/\/huxiaole.cloud\/index.php\/2026\/05\/19\/%e6%b4%9b%e8%b0%b7p3601-%e7%ad%be%e5%88%b0%e9%a2%98\/","title":{"rendered":"\u6d1b\u8c37P3601 \u7b7e\u5230\u9898"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u4e00\u3001 \u9898\u76ee\u63cf\u8ff0<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u9898\u76ee\u80cc\u666f<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f\u4e00\u9053\u7b7e\u5230\u9898\uff01\u5efa\u8bae\u505a\u9898\u4e4b\u524d\u4ed4\u7ec6\u9605\u8bfb\u6570\u636e\u8303\u56f4\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u9898\u76ee\u63cf\u8ff0<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6211\u4eec\u5b9a\u4e49\u4e00\u4e2a\u51fd\u6570\uff1a$\\operatorname{qiandao}(x)$ \u4e3a\u5c0f\u4e8e\u7b49\u4e8e $x$ \u7684\u6570\u4e2d\uff0c\u4e0e $x$ <strong>\u4e0d\u4e92\u8d28<\/strong>\u7684\u6570\u7684\u4e2a\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u4f5c\u4e3a\u7b7e\u5230\u9898\uff0c\u7ed9\u51fa $l$ \u548c $r$\uff0c\u6c42\u51fa\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\\left(\\sum_{i=l}^r \\operatorname{qiandao}(i) \\right) \\bmod 666623333$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6570\u636e\u8303\u56f4<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5bf9\u4e8e 30% \u7684\u6570\u636e\uff0c$l,r\\leq 10^3$\u3002<\/li>\n\n\n\n<li>\u5bf9\u4e8e 60% \u7684\u6570\u636e\uff0c$l,r\\leq 10^7$\u3002<\/li>\n\n\n\n<li>\u5bf9\u4e8e 100% \u7684\u6570\u636e\uff0c$1 \\leq l \\leq r \\leq 10^{12}$\uff0c$r-l \\leq 10^6$\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e8c\u3001 \u524d\u7f6e\u8003\u70b9\uff1a\u6b27\u62c9\u51fd\u6570 $\\varphi(n)$<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u6b27\u62c9\u51fd\u6570\u7684\u6838\u5fc3\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\\varphi(n) = n \\times \\left(1 &#8211; \\frac{1}{p_1}\\right) \\times \\left(1 &#8211; \\frac{1}{p_2}\\right) \\times \\dots \\times \\left(1 &#8211; \\frac{1}{p_m}\\right)$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u63d0\u4f9b\u4e24\u79cd\u63a8\u5bfc\u89c6\u89d2\uff1a<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u65b9\u6cd5\u4e00\uff1a\u4ece\u201c\u8d28\u6570\u5e42\u201d\u5230\u201c\u79ef\u6027\u201d\uff08\u6700\u4f18\u96c5\u7684\u8bc1\u6cd5\uff09<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7b2c\u4e00\u6b65\uff1a\u53ea\u770b\u5355\u4e00\u8d28\u6570\u7684\u5e42 $p^k$<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5047\u8bbe\u6211\u4eec\u8981\u6c42 $\\varphi(p^k)$\uff0c\u4e5f\u5c31\u662f\u5728 $1$ \u5230 $p^k$ \u8fd9 $p^k$ \u4e2a\u6570\u4e2d\uff0c\u6709\u591a\u5c11\u4e2a\u6570\u4e0e $p^k$ \u4e92\u8d28\uff1f<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4e0e $p^k$ \u4e0d\u4e92\u8d28\u7684\u6570\uff0c\u5fc5\u7136\u5305\u542b\u8d28\u56e0\u5b50 $p$\u3002<\/li>\n\n\n\n<li>\u5728 $1$ \u5230 $p^k$ \u4e2d\uff0c$p$ \u7684\u500d\u6570\u6709\uff1a$p, 2p, 3p, \\dots, p^{k-1} \\cdot p$\u3002<\/li>\n\n\n\n<li>\u8fd9\u6837\u7684\u6570\u4e00\u5171\u6709 $p^{k-1}$ \u4e2a\u3002<\/li>\n\n\n\n<li>\u56e0\u6b64\uff0c\u4e0e $p^k$ \u4e92\u8d28\u7684\u6570\uff0c\u5c31\u662f\u603b\u6570\u51cf\u53bb\u8fd9\u4e9b\u500d\u6570\uff1a$$\\varphi(p^k) = p^k &#8211; p^{k-1} = p^k \\left(1 &#8211; \\frac{1}{p}\\right)$$<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7b2c\u4e8c\u6b65\uff1a\u5229\u7528\u6b27\u62c9\u51fd\u6570\u7684\u201c\u79ef\u6027\u201d<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6b27\u62c9\u51fd\u6570\u662f\u4e00\u4e2a\u79ef\u6027\u51fd\u6570\u3002\u5728\u6570\u8bba\u4e2d\uff0c\u8fd9\u610f\u5473\u7740\uff1a\u5982\u679c\u4e24\u4e2a\u6570 $a$ \u548c $b$ \u4e92\u8d28\uff08\u5373 $\\gcd(a, b) = 1$\uff09\uff0c\u90a3\u4e48\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\\varphi(a \\times b) = \\varphi(a) \\times \\varphi(b)$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7b2c\u4e09\u6b65\uff1a\u62fc\u5408\u8d77\u6765\u5f97\u5230\u6700\u7ec8\u516c\u5f0f<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6211\u4eec\u5df2\u77e5 $n$ \u7684\u552f\u4e00\u5206\u89e3\u5b9a\u7406\u5f62\u5f0f\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$n = p_1^{k_1} \\times p_2^{k_2} \\times \\dots \\times p_m^{k_m}$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u4e0d\u540c\u7684\u8d28\u6570\u4e4b\u95f4\u6ca1\u6709\u516c\u7ea6\u6570\uff0c\u6240\u4ee5\u5404\u4e2a $p_i^{k_i}$ \u4e4b\u95f4\u663e\u7136\u662f\u4e24\u4e24\u4e92\u8d28\u7684\u3002\u6839\u636e\u79ef\u6027\u51fd\u6570\u7684\u6027\u8d28\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u5b83\u4eec\u62c6\u5f00\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\\varphi(n) = \\varphi(p_1^{k_1}) \\times \\varphi(p_2^{k_2}) \\times \\dots \\times \\varphi(p_m^{k_m})$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee3\u5165\u6211\u4eec\u5728\u7b2c\u4e00\u6b65\u63a8\u5bfc\u51fa\u7684\u516c\u5f0f\uff0c\u5f97\u5230\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\\varphi(n) = p_1^{k_1}\\left(1 &#8211; \\frac{1}{p_1}\\right) \\times p_2^{k_2}\\left(1 &#8211; \\frac{1}{p_2}\\right) \\times \\dots \\times p_m^{k_m}\\left(1 &#8211; \\frac{1}{p_m}\\right)$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5229\u7528\u4e58\u6cd5\u7684\u4ea4\u6362\u5f8b\uff0c\u628a\u524d\u9762\u6240\u6709\u7684 $p_i^{k_i}$ \u4e58\u5728\u4e00\u8d77\uff0c\u6b63\u597d\u7b49\u4e8e $n$\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\\varphi(n) = (p_1^{k_1} \\dots p_m^{k_m}) \\times \\left(1 &#8211; \\frac{1}{p_1}\\right) \\dots \\left(1 &#8211; \\frac{1}{p_m}\\right)$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\\varphi(n) = n \\times \\left(1 &#8211; \\frac{1}{p_1}\\right) \\times \\left(1 &#8211; \\frac{1}{p_2}\\right) \\times \\dots \\times \\left(1 &#8211; \\frac{1}{p_m}\\right)$$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u65b9\u6cd5\u4e8c\uff1a\u5bb9\u65a5\u539f\u7406\uff08\u6700\u8d34\u8fd1\u76f4\u89c9\u7684\u8bc1\u6cd5\uff09<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u5728 $1$ \u5230 $n$ \u4e2d\u627e\u51fa\u4e0e $n$ \u4e92\u8d28\u7684\u6570\uff0c\u7b49\u4ef7\u4e8e<strong>\u5254\u9664\u6389\u6240\u6709\u542b\u6709 $p_1, p_2, \\dots, p_m$ \u56e0\u5b50\u7684\u6570<\/strong>\u3002\u5229\u7528\u97e6\u6069\u56fe\u7684\u5bb9\u65a5\u539f\u7406\u601d\u60f3\uff1a<\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>\u603b\u6570<\/strong>\uff1a \u4e00\u5171\u6709 $n$ \u4e2a\u6570\u3002<\/li>\n\n\n\n<li><strong>\u5254\u9664\u5355\u500d\u6570<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>$p_1$ \u7684\u500d\u6570\u6709 $\\frac{n}{p_1}$ \u4e2a\uff0c\u5254\u9664\u3002<\/li>\n\n\n\n<li>$p_2$ \u7684\u500d\u6570\u6709 $\\frac{n}{p_2}$ \u4e2a\uff0c\u5254\u9664\u3002<\/li>\n\n\n\n<li>\u7b97\u5f0f\u53d8\u4e3a\uff1a$n &#8211; \\frac{n}{p_1} &#8211; \\frac{n}{p_2} &#8211; \\dots$<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u52a0\u56de\u591a\u51cf\u7684\u4ea4\u96c6<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u65e2\u662f $p_1$ \u53c8\u662f $p_2$ \u7684\u500d\u6570\uff08\u5373 $p_1 \\times p_2$ \u7684\u500d\u6570\uff09\u88ab\u51cf\u4e86\u4e24\u6b21\uff0c\u9700\u52a0\u56de\u4e00\u6b21\uff0c\u5171 $\\frac{n}{p_1 p_2}$ \u4e2a\u3002<\/li>\n\n\n\n<li>\u7b97\u5f0f\u53d8\u4e3a\uff1a$n &#8211; \\sum \\frac{n}{p_i} + \\sum \\frac{n}{p_i p_j}$<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u4f9d\u6b21\u7c7b\u63a8\uff08\u52a0\u52a0\u51cf\u51cf\uff09<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u51cf\u53bb\u4e09\u4e2a\u8d28\u6570\u4e58\u79ef\u7684\u500d\u6570\uff0c\u52a0\u56de\u56db\u4e2a\u8d28\u6570\u4e58\u79ef\u7684\u500d\u6570\u2026\u2026<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u7ec8\uff0c\u4e92\u8d28\u6570\u7684\u603b\u4e2a\u6570\u957f\u7b97\u5f0f\u4e3a\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\\varphi(n) = n &#8211; \\left( \\frac{n}{p_1} + \\frac{n}{p_2} + \\dots \\right) + \\left( \\frac{n}{p_1 p_2} + \\frac{n}{p_1 p_3} + \\dots \\right) &#8211; \\dots$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u63d0\u53d6 $n$\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\\varphi(n) = n \\times \\left[ 1 &#8211; \\left( \\frac{1}{p_1} + \\frac{1}{p_2} + \\dots \\right) + \\left( \\frac{1}{p_1 p_2} + \\frac{1}{p_1 p_3} + \\dots \\right) &#8211; \\dots \\right]$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u5c55\u5f00\u591a\u9879\u5f0f\u4e58\u79ef $\\left(1 &#8211; \\frac{1}{p_1}\\right) \\dots \\left(1 &#8211; \\frac{1}{p_m}\\right)$\uff0c\u7ed3\u679c\u4e00\u5b57\u4e0d\u5dee\u5730\u7b49\u4e8e\u65b9\u62ec\u53f7\u5185\u7684\u5bb9\u65a5\u539f\u7406\u5f0f\u5b50\u3002\u56e0\u6b64\u5b8c\u7f8e\u6298\u53e0\u4e3a\u8fde\u4e58\u5f62\u5f0f\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$\\varphi(n) = n \\prod_{i=1}^m \\left(1 &#8211; \\frac{1}{p_i}\\right)$$<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e09\u3001 \u89e3\u9898\u601d\u8def<\/h2>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>\u9884\u5904\u7406\u7d20\u6570<\/strong>\uff1a\u5148\u7528\u7ebf\u6027\u7b5b\u627e\u51fa $\\le \\sqrt{r}$\uff08\u5373 $10^6$ \u8303\u56f4\u5185\uff09\u7684\u6240\u6709\u7d20\u6570\u3002<\/li>\n\n\n\n<li><strong>\u533a\u95f4\u6620\u5c04\uff08\u6570\u7ec4\u504f\u79fb\uff09<\/strong>\uff1a\u7531\u4e8e $l$ \u548c $r$ \u6570\u503c\u9ad8\u8fbe $10^{12}$\uff0c\u4f46\u533a\u95f4\u957f\u5ea6 $r-l \\le 10^6$\uff0c\u5c06\u5e9e\u5927\u7684\u6570\u5b57 $i$ \u6620\u5c04\u5230\u6570\u7ec4\u4e0b\u6807 $i-l$ \u4e0a\u8fdb\u884c\u5904\u7406\u3002<\/li>\n\n\n\n<li><strong>\u533a\u95f4\u57c3\u6c0f\u7b5b<\/strong>\uff1a\u521d\u59cb\u5316 <code>phi<\/code> \u6570\u7ec4\u548c\u4f59\u6570 <code>rem<\/code> \u6570\u7ec4\u4e3a\u539f\u672c\u7684\u6570\u5b57\u3002\u5bfb\u627e $\\ge l$ \u7684\u6700\u5c0f\u7684 $p$ \u7684\u500d\u6570\u4f5c\u4e3a\u8d77\u70b9\uff0c\u5bf9\u533a\u95f4\u5185\u6bcf\u4e00\u4e2a\u500d\u6570\uff0c\u4f7f\u7528\u516c\u5f0f <code>phi = phi \/ p * (p - 1)<\/code> \u66f4\u65b0\u4e92\u8d28\u6570\u7684\u4e2a\u6570\uff0c\u540c\u65f6\u5728 <code>rem<\/code> \u4e2d\u4e0d\u65ad\u9664\u4ee5 $p$ \u6765\u5265\u79bb\u8d28\u56e0\u5b50\u3002<\/li>\n\n\n\n<li><strong>\u5927\u8d28\u6570\u7279\u5224<\/strong>\uff1a\u904d\u5386\u7ed3\u675f\u540e\uff0c\u5982\u679c\u6709 <code>rem > 1<\/code>\uff0c\u8bf4\u660e\u6b8b\u7559\u4e86\u4e00\u4e2a\u5927\u4e8e $\\sqrt{r}$ \u7684\u5927\u8d28\u6570\u56e0\u5b50\uff0c\u9700\u8981\u5bf9\u5176\u8865\u4e0a\u6700\u540e\u4e00\u6b21\u4fee\u6b63\u8ba1\u7b97\u3002<\/li>\n\n\n\n<li><strong>\u7d2f\u52a0\u7edf\u8ba1<\/strong>\uff1a\u6839\u636e\u9898\u610f\u8ba1\u7b97\u4e0d\u4e92\u8d28\u7684\u4e2a\u6570 <code>x - phi<\/code>\uff0c\u7d2f\u52a0\u5e76\u53d6\u6a21\u8f93\u51fa\u3002<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u56db\u3001 AC \u4ee3\u7801<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">C++<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\/\/ Sunshine, sunshine, ladybugs awake!\n\/\/ Clap your hooves and do a little shake!\n#include &lt;bits\/stdc++.h&gt;\n#define int long long\n#define endl '\\n'\nusing namespace std;\n\nusing PII=pair&lt;int,int&gt; ;\n\nconst int mod=666623333;\nconst int MAXN=1000005;\n\nbitset&lt;MAXN&gt; is_prime; \nvector&lt;int&gt; primes;\nint min_factor&#91;MAXN];       \/\/ \u8bb0\u5f55\u6700\u5c0f\u8d28\u56e0\u5b50\nint omega&#91;MAXN];            \/\/ \u8bb0\u5f55\u4e0d\u540c\u8d28\u56e0\u5b50\u7684\u79cd\u6570\n\n\/* =================  \u7ebf\u6027\u7b5b\u521d\u59cb\u5316  ================= *\/\nvoid init_sieve() {\n    is_prime.set();                   \/\/ \u5148\u5168\u90e8\u6807\u8bb0\u4e3a\u8d28\u6570\n    is_prime&#91;0] = is_prime&#91;1] = false;\n    \n    for (int i = 2; i &lt; MAXN; ++i) {\n        if (is_prime&#91;i]) {            \/\/ i \u662f\u8d28\u6570\n            primes.push_back(i);\n            min_factor&#91;i] = i;\n            omega&#91;i]    = 1;\n        }\n        \/* \u7528\u5f53\u524d\u8d28\u6570\u53bb\u7b5b\u5408\u6570 *\/\n        for (int p : primes) {\n            if (i * p &gt;= MAXN) break;\n            is_prime&#91;i * p] = false;\n            min_factor&#91;i * p] = p;\n            \n            if (i % p == 0) {\n                omega&#91;i * p] = omega&#91;i]; \/\/ p \u5df2\u7ecf\u662f i \u7684\u8d28\u56e0\u5b50\uff0c\u79cd\u7c7b\u6570\u4e0d\u589e\u52a0\n                break;                   \/\/ \u4fdd\u8bc1\u53ea\u88ab\u6700\u5c0f\u8d28\u56e0\u5b50\u7b5b\n            } else {\n                omega&#91;i * p] = omega&#91;i] + 1; \/\/ p \u662f\u65b0\u7684\u8d28\u56e0\u5b50\uff0c\u79cd\u7c7b\u6570 +1\n            }\n        }\n    }\n}\n\nvoid solve() {\n    int l, r;\n    cin &gt;&gt; l &gt;&gt; r;\n    \n    int len = r - l + 1;\n    vector&lt;int&gt; phi(len);\n    vector&lt;int&gt; rem(len);\n    \n    for(int i = 0; i &lt; len; i++){\n        phi&#91;i] = l + i;\n        rem&#91;i] = l + i;\n    }\n    \n    for(auto p : primes){\n        if(p * p &gt; r) break;\n        \n        int st = (l + p - 1) \/ p * p;\n        for(int i = st; i &lt;= r; i += p){\n            int idx = i - l;\n            phi&#91;idx] = phi&#91;idx] \/ p * (p - 1);\n            \n            while(rem&#91;idx] % p == 0){\n                rem&#91;idx] \/= p;\n            }\n        }\n    }\n    \n    int ans = 0;\n    for(int i = 0; i &lt; len; i++){\n        if(rem&#91;i] &gt; 1){\n            phi&#91;i] = phi&#91;i] \/ rem&#91;i] * (rem&#91;i] - 1);\n        }\n        \n        int curr = l + i;\n        ans = (ans - phi&#91;i] + curr) % mod;\n    }\n    \n    cout &lt;&lt; ans &lt;&lt; endl;\n}\n\nsigned main() { \n    ios_base::sync_with_stdio(false);\n    cin.tie(NULL);\n    init_sieve();\n    \/\/int t;cin &gt;&gt; t;while (t--) \n    solve();\n    return 0;\n}<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u4e00\u3001 \u9898\u76ee\u63cf\u8ff0 \u9898\u76ee\u80cc\u666f \u8fd9\u662f\u4e00\u9053\u7b7e\u5230\u9898\uff01\u5efa\u8bae\u505a\u9898\u4e4b\u524d\u4ed4\u7ec6\u9605\u8bfb\u6570\u636e\u8303\u56f4\uff01 \u9898\u76ee\u63cf\u8ff0 \u6211\u4eec\u5b9a\u4e49\u4e00\u4e2a\u51fd\u6570\uff1a$\\op [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":103,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14,18],"tags":[],"class_list":["post-165","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-14","category-luogu"],"_links":{"self":[{"href":"https:\/\/huxiaole.cloud\/index.php\/wp-json\/wp\/v2\/posts\/165","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/huxiaole.cloud\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/huxiaole.cloud\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/huxiaole.cloud\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/huxiaole.cloud\/index.php\/wp-json\/wp\/v2\/comments?post=165"}],"version-history":[{"count":3,"href":"https:\/\/huxiaole.cloud\/index.php\/wp-json\/wp\/v2\/posts\/165\/revisions"}],"predecessor-version":[{"id":169,"href":"https:\/\/huxiaole.cloud\/index.php\/wp-json\/wp\/v2\/posts\/165\/revisions\/169"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/huxiaole.cloud\/index.php\/wp-json\/wp\/v2\/media\/103"}],"wp:attachment":[{"href":"https:\/\/huxiaole.cloud\/index.php\/wp-json\/wp\/v2\/media?parent=165"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/huxiaole.cloud\/index.php\/wp-json\/wp\/v2\/categories?post=165"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/huxiaole.cloud\/index.php\/wp-json\/wp\/v2\/tags?post=165"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}