{"id":35,"date":"2025-11-09T20:47:41","date_gmt":"2025-11-09T12:47:41","guid":{"rendered":"https:\/\/tblog.zeabur.app\/?p=35"},"modified":"2025-11-09T20:53:46","modified_gmt":"2025-11-09T12:53:46","slug":"%e9%a2%98%e8%a7%a3-p11000-%e8%93%9d%e6%a1%a5%e6%9d%af-2024-%e7%9c%81-python-b-%e6%95%b0%e5%ad%97%e4%b8%b2%e4%b8%aa%e6%95%b0","status":"publish","type":"post","link":"https:\/\/tblog.zeabur.app\/?p=35","title":{"rendered":"\u9898\u89e3 Luogu P11000 [\u84dd\u6865\u676f 2024 \u7701 Python B] \u6570\u5b57\u4e32\u4e2a\u6570"},"content":{"rendered":"\n<p>\u8fd9\u9898\u662f\u5178\u578b\u7684\u6392\u5217\u7ec4\u5408\uff08\u4ee5\u4e0b\u8ba8\u8bba\u6570\u5b57\u4e2a\u6570\u65f6\u90fd\u5df2\u6392\u9664\u4e86 $0$\uff09<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u603b\u7684\u5b57\u7b26\u4e32\u6570<\/strong>\uff1a\u5b57\u7b26\u4e32\u957f\u5ea6\u4e3a $10000$\uff0c\u4e14\u6bcf\u4e2a\u4f4d\u7f6e\u53ef\u4ee5\u9009\u62e9\u7684\u6570\u5b57\u6709 $9$ \u4e2a\u6570\u5b57\u53ef\u9009\uff0c\u56e0\u6b64\uff0c\u6240\u6709\u53ef\u80fd\u7684\u5b57\u7b26\u4e32\u603b\u6570\u4e3a\uff1a$9^{10000}$\u3002<\/li>\n\n\n\n<li><strong>\u4e0d\u5305\u542b\u6570\u5b57 3<\/strong>\uff1a\u53bb\u6389 $3$ \u540e\u5171\u6709 $8$ \u4e2a\u6570\u5b57\u53ef\u9009\uff0c\u56e0\u6b64\u4e0d\u5305\u542b $3$ \u7684\u5b57\u7b26\u4e32\u6570\u4e3a\uff1a$8^{10000}$\u3002<\/li>\n\n\n\n<li><strong>\u4e0d\u5305\u542b\u6570\u5b57 7<\/strong>\uff1a\u53bb\u6389 $7$ \u540e\u4e5f\u5171\u6709 $8$ \u4e2a\u6570\u5b57\u53ef\u9009\uff0c\u56e0\u6b64\u4e0d\u5305\u542b $7$ \u7684\u5b57\u7b26\u4e32\u6570\u4e5f\u4e3a\uff1a$8^{10000}$\u3002<\/li>\n\n\n\n<li><strong>\u540c\u65f6\u4e0d\u5305\u542b\u6570\u5b57 3 \u548c 7<\/strong>\uff1a\u5219\u53ea\u6709 $7$ \u4e2a\u6570\u5b57\u53ef\u9009\uff0c\u56e0\u6b64\u540c\u65f6\u4e0d\u5305\u542b $3$ \u548c $7$ \u7684\u5b57\u7b26\u4e32\u6570\u4e3a\uff1a$7^{10000}$\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u6839\u636e\u5bb9\u65a5\u539f\u7406\uff0c\u540c\u65f6\u5305\u542b $3$ \u548c $7$\uff0c\u4e14\u4e0d\u5305\u542b $0$ \u7684\u5b57\u7b26\u4e32\u6570\u4e3a\uff1a<br>$9^{10000}-8^{10000}-8^{10000}+7^{10000}=9^{10000}-2\\times8^{10000}+7^{10000}$<br>\u5e76\u5c06\u7ed3\u679c\u5bf9 $10^9+7$\u200b \u53d6\u6a21\u3002<\/p>\n\n\n\n<p>\u4ee3\u7801\u5b9e\u73b0\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>MOD=10**9+7\nall_=pow(9,10000)#\u603b\u7684\u5b57\u7b26\u4e32\u6570\nqu3=pow(8,10000)#\u4e0d\u5305\u542b\u6570\u5b573(\u7531\u4e8e\u4e0d\u5305\u542b\u6570\u5b577\u7684\u503c\u4e0e3\u4e00\u81f4\uff0c\u4e3a\u4e86\u8282\u7701\u7f16\u8bd1\u65f6\u95f4\uff0c\u5c31\u4e0d\u518d\u6b21\u8ba1\u7b97)\nqu37=pow(7,10000)#\u540c\u65f6\u4e0d\u5305\u542b\u6570\u5b573\u548c7\nans=(all_-2*qu3+qu37)%MOD#\u4ee3\u5165\u516c\u5f0f\u5e76\u53d6\u6a21\nprint(ans)<\/code><\/pre>\n\n\n\n<p>\u6700\u7ec8\u7b54\u6848\u4e3a $157509472$\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8fd9\u9898\u662f\u5178\u578b\u7684\u6392\u5217\u7ec4\u5408\uff08\u4ee5\u4e0b\u8ba8\u8bba\u6570\u5b57\u4e2a\u6570\u65f6\u90fd\u5df2\u6392\u9664\u4e86 $0$\uff09 \u6839\u636e\u5bb9\u65a5\u539f\u7406\uff0c\u540c\u65f6\u5305\u542b $3$ \u548c $7$\uff0c\u4e14\u4e0d [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[3],"class_list":["post-35","post","type-post","status-publish","format-standard","hentry","category-oi","tag-oi"],"featured_image_src":null,"author_info":{"display_name":"CaelumRadish_c","author_link":"https:\/\/tblog.zeabur.app\/?author=1"},"_links":{"self":[{"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=\/wp\/v2\/posts\/35","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=35"}],"version-history":[{"count":3,"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=\/wp\/v2\/posts\/35\/revisions"}],"predecessor-version":[{"id":43,"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=\/wp\/v2\/posts\/35\/revisions\/43"}],"wp:attachment":[{"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=35"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=35"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tblog.zeabur.app\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=35"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}