{"id":108805,"date":"2026-09-22T17:08:46","date_gmt":"2026-09-22T09:08:46","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/108805.html"},"modified":"2026-09-22T17:08:46","modified_gmt":"2026-09-22T09:08:46","slug":"%e5%a5%a5%e8%b5%9b%e4%b8%80%e6%9c%ac%e9%80%9a-1461-beads","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/108805.html","title":{"rendered":"\u5965\u8d5b\u4e00\u672c\u901a 1461 Beads"},"content":{"rendered":"

1461 Beads<\/h2>\n

\u9898\u76ee\u5927\u610f<\/h4>\n

\u7ed9\u5b9a\u4e00\u4e2a\u957f\u5ea6\u4e3a $n$ \u7684\u4e32，\u4ece\u5de6\u5f80\u53f3\u4f9d\u6b21\u5206\u5272\u4e3a\u957f\u5ea6\u5747\u4e3a $k$ \u7684\u5b50\u4e32，\u6700\u53f3\u4fa7\u957f\u5ea6\u5c0f\u4e8e $k$ \u7684\u90e8\u5206\u820d\u5f03，$k$ \u4e3a\u591a\u5c11\u65f6\u624d\u80fd\u4f7f\u5206\u5272\u51fa\u7684\u4e0d\u540c\u7684\u5b50\u4e32\u79cd\u7c7b\u6570\u6700\u591a（\u5b50\u4e32\u53ef\u4ee5\u5de6\u53f3\u53cd\u8f6c）\u3002<\/p>\n

\u77e5\u8bc6\u8981\u70b9<\/h4>\n

\u54c8\u5e0c<\/p>\n

\u89e3\u9898\u601d\u8def<\/h4>\n

\u4ece\u5c0f\u5230\u5927\u679a\u4e3e $k$，\u8ba1\u7b97\u5206\u5272\u51fa\u6bcf\u4e2a\u5b50\u4e32\u7684\u5728\u4e24\u4e2a\u65b9\u5411\u4e0a\u7684\u54c8\u5e0c\u503c，\u53bb\u91cd\u540e\u5373\u53ef\u6c42\u51fa\u4e0d\u540c\u7684\u5b50\u4e32\u6570\u91cf\u3002<\/p>\n

\u53c2\u8003\u4ee3\u7801<\/h4>\n

#<\/span>include<\/span> <bits\/stdc++.h><\/span><\/span>
\nusing<\/span> namespace<\/span> std;<\/span><\/p>\n

const<\/span> int<\/span> N =<\/span> 200005<\/span>,<\/span> M =<\/span> 1e9<\/span> +<\/span> 7<\/span>;<\/span>
\nint<\/span> s[<\/span>N]<\/span>,<\/span> ha1[<\/span>N]<\/span>,<\/span> ha2[<\/span>N]<\/span>,<\/span> pw[<\/span>N]<\/span>;<\/span>
\nint<\/span> main<\/span>(<\/span>)<\/span> {<\/span>
\n int<\/span> n,<\/span> cnt =<\/span> 0<\/span>;<\/span>
\n scanf<\/span>(<\/span>"%d"<\/span>,<\/span> &<\/span>n)<\/span>;<\/span>
\n for<\/span>(<\/span>int<\/span> i =<\/span> 1<\/span>;<\/span> i <=<\/span> n;<\/span> i++<\/span>)<\/span> scanf<\/span>(<\/span>"%d"<\/span>,<\/span> &<\/span>s[<\/span>i]<\/span>)<\/span>;<\/span><\/p>\n

pw[<\/span>0<\/span>]<\/span> =<\/span> 1<\/span>;<\/span>
\n for<\/span>(<\/span>int<\/span> i =<\/span> 1<\/span>;<\/span> i <=<\/span> n;<\/span> i++<\/span>)<\/span> pw[<\/span>i]<\/span> =<\/span> pw[<\/span>i –<\/span> 1<\/span>]<\/span> *<\/span> M;<\/span>
\n for<\/span>(<\/span>int<\/span> i =<\/span> 1<\/span>;<\/span> i <=<\/span> n;<\/span> i++<\/span>)<\/span> ha1[<\/span>i]<\/span> =<\/span> ha1[<\/span>i –<\/span> 1<\/span>]<\/span> *<\/span> M +<\/span> s[<\/span>i]<\/span>;<\/span>
\n for<\/span>(<\/span>int<\/span> i =<\/span> n;<\/span> i >=<\/span> 1<\/span>;<\/span> i—<\/span>)<\/span> ha2[<\/span>i]<\/span> =<\/span> ha2[<\/span>i +<\/span> 1<\/span>]<\/span> *<\/span> M +<\/span> s[<\/span>i]<\/span>;<\/span><\/p>\n

vector<<\/span>int<\/span>><\/span> ans;<\/span>
\n for<\/span>(<\/span>int<\/span> k =<\/span> 1<\/span>;<\/span> k *<\/span> cnt <=<\/span> n;<\/span> k++<\/span>)<\/span> {<\/span> \/\/\u5206\u5272\u6570\u91cf\u5c0f\u4e8e\u76ee\u524d\u7b54\u6848\u65f6\u7ed3\u675f<\/span>
\n set<<\/span>long<\/span> long<\/span>><\/span> S;<\/span>
\n for<\/span>(<\/span>int<\/span> i =<\/span> 1<\/span>;<\/span> i +<\/span> k <=<\/span> n +<\/span> 1<\/span>;<\/span> i +=<\/span> k)<\/span> {<\/span>
\n int<\/span> h1 =<\/span> ha1[<\/span>i +<\/span> k –<\/span> 1<\/span>]<\/span> –<\/span> ha1[<\/span>i –<\/span> 1<\/span>]<\/span> *<\/span> pw[<\/span>k]<\/span>;<\/span>
\n int<\/span> h2 =<\/span> ha2[<\/span>i]<\/span> –<\/span> ha2[<\/span>i +<\/span> k]<\/span> *<\/span> pw[<\/span>k]<\/span>;<\/span>
\n S.<\/span>insert<\/span>(<\/span>1ll<\/span> *<\/span> h1 *<\/span> h2)<\/span>;<\/span> \/\/\u5c06\u4e24\u4e2a\u54c8\u5e0c\u503c\u7684\u79ef\u4f5c\u4e3a\u6700\u7ec8\u7684\u54c8\u5e0c\u503c<\/span>
\n }<\/span><\/p>\n

if<\/span>(<\/span>cnt <<\/span> S.<\/span>size<\/span>(<\/span>)<\/span>)<\/span> cnt =<\/span> S.<\/span>size<\/span>(<\/span>)<\/span>,<\/span> ans.<\/span>clear<\/span>(<\/span>)<\/span>;<\/span>
\n if<\/span>(<\/span>cnt ==<\/span> S.<\/span>size<\/span>(<\/span>)<\/span>)<\/span> ans.<\/span>push_back<\/span>(<\/span>k)<\/span>;<\/span>
\n }<\/span><\/p>\n

printf<\/span>(<\/span>"%d %d\\\\n"<\/span>,<\/span> cnt,<\/span> ans.<\/span>size<\/span>(<\/span>)<\/span>)<\/span>;<\/span>
\n for<\/span>(<\/span>int<\/span> k:<\/span> ans)<\/span> printf<\/span>(<\/span>"%d "<\/span>,<\/span> k)<\/span>;<\/span>
\n return<\/span> 0<\/span>;<\/span>
\n}<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

1461 Beads
\n\u9898\u76ee\u5927\u610f
\n\u7ed9\u5b9a\u4e00\u4e2a\u957f\u5ea6\u4e3a $n$ \u7684\u4e32，\u4ece\u5de6\u5f80\u53f3\u4f9d\u6b21\u5206\u5272\u4e3a\u957f\u5ea6\u5747\u4e3a $k$ \u7684\u5b50\u4e32，\u6700\u53f3\u4fa7\u957f\u5ea6\u5c0f\u4e8e $k$ \u7684\u90e8\u5206\u820d\u5f03，$k$ \u4e3a\u591a\u5c11\u65f6\u624d\u80fd\u4f7f\u5206\u5272\u51fa\u7684\u4e0d\u540c\u7684\u5b50\u4e32\u79cd\u7c7b\u6570\u6700\u591a（\u5b50\u4e32\u53ef\u4ee5\u5de6\u53f3\u53cd\u8f6c）\u3002
\n\u77e5\u8bc6\u8981\u70b9
\n\u54c8\u5e0c
\n\u89e3\u9898\u601d\u8def
\n\u4ece\u5c0f\u5230\u5927\u679a\u4e3e $k$，\u8ba1\u7b97\u5206\u5272\u51fa\u6bcf\u4e2a\u5b50\u4e32\u7684\u5728\u4e24\u4e2a\u65b9\u5411\u4e0a\u7684\u54c8\u5e0c\u503c，\u53bb\u91cd\u540e\u5373\u53ef\u6c42\u51fa\u4e0d\u540c\u7684\u5b50\u4e32\u6570\u91cf\u3002
\n\u53c2\u8003\u4ee3\u7801
\n#include <bits\/st<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[12415],"topic":[],"class_list":["post-108805","post","type-post","status-publish","format-standard","hentry","category-server","tag-12415"],"yoast_head":"\n\u5965\u8d5b\u4e00\u672c\u901a 1461 Beads - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/108805.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5965\u8d5b\u4e00\u672c\u901a 1461 Beads - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"1461 Beads \u9898\u76ee\u5927\u610f \u7ed9\u5b9a\u4e00\u4e2a\u957f\u5ea6\u4e3a $n$ \u7684\u4e32，\u4ece\u5de6\u5f80\u53f3\u4f9d\u6b21\u5206\u5272\u4e3a\u957f\u5ea6\u5747\u4e3a $k$ \u7684\u5b50\u4e32，\u6700\u53f3\u4fa7\u957f\u5ea6\u5c0f\u4e8e $k$ \u7684\u90e8\u5206\u820d\u5f03，$k$ \u4e3a\u591a\u5c11\u65f6\u624d\u80fd\u4f7f\u5206\u5272\u51fa\u7684\u4e0d\u540c\u7684\u5b50\u4e32\u79cd\u7c7b\u6570\u6700\u591a（\u5b50\u4e32\u53ef\u4ee5\u5de6\u53f3\u53cd\u8f6c）\u3002 \u77e5\u8bc6\u8981\u70b9 \u54c8\u5e0c \u89e3\u9898\u601d\u8def \u4ece\u5c0f\u5230\u5927\u679a\u4e3e $k$，\u8ba1\u7b97\u5206\u5272\u51fa\u6bcf\u4e2a\u5b50\u4e32\u7684\u5728\u4e24\u4e2a\u65b9\u5411\u4e0a\u7684\u54c8\u5e0c\u503c，\u53bb\u91cd\u540e\u5373\u53ef\u6c42\u51fa\u4e0d\u540c\u7684\u5b50\u4e32\u6570\u91cf\u3002 \u53c2\u8003\u4ee3\u7801 #include <bits\/st\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wsisp.com\/helps\/108805.html\" \/>\n<meta property=\"og:site_name\" content=\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"article:published_time\" content=\"2026-09-22T09:08:46+00:00\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/108805.html\",\"url\":\"https:\/\/www.wsisp.com\/helps\/108805.html\",\"name\":\"\u5965\u8d5b\u4e00\u672c\u901a 1461 Beads - 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