# \u9009\u62e9\u5ba2\u6808 \u52a0\u5f3a\u7248<\/p>\n
## \u9898\u76ee\u63cf\u8ff0<\/p>\n
\u4e3d\u6c5f\u6cb3\u8fb9\u6709 $n$ \u5bb6\u5f88\u6709\u7279\u8272\u7684\u5ba2\u6808\uff0c\u5ba2\u6808\u6309\u7167\u5176\u4f4d\u7f6e\u987a\u5e8f\u4ece $1$ \u5230 $n$ \u7f16\u53f7\u3002<\/p>\n
\u6bcf\u5bb6\u5ba2\u6808\u90fd\u6309\u7167\u67d0\u4e00\u79cd\u8272\u8c03\u8fdb\u884c\u88c5\u9970\uff08\u603b\u5171 $k$ \u79cd\uff0c\u7528\u6574\u6570 $0 \\sim k-1$ \u8868\u793a\uff09\uff0c\u4e14\u6bcf\u5bb6\u5ba2\u6808\u90fd\u8bbe\u6709\u4e00\u5bb6\u5496\u5561\u5e97\uff0c\u6bcf\u5bb6\u5496\u5561\u5e97\u5747\u6709\u5404\u81ea\u7684\u6700\u4f4e\u6d88\u8d39\u3002<\/p>\n
\u4e24\u4f4d\u6e38\u5ba2\u4e00\u8d77\u53bb\u4e3d\u6c5f\u65c5\u6e38\uff0c\u4ed6\u4eec\u559c\u6b22\u76f8\u540c\u7684\u8272\u8c03\uff0c\u53c8\u60f3\u5c1d\u8bd5\u4e24\u4e2a\u4e0d\u540c\u7684\u5ba2\u6808\uff0c\u56e0\u6b64\u51b3\u5b9a\u5206\u522b\u4f4f\u5728\u8272\u8c03\u76f8\u540c\u7684\u4e24\u5bb6\u5ba2\u6808\u4e2d\u3002<\/p>\n
\u665a\u4e0a\uff0c\u4ed6\u4eec\u6253\u7b97\u9009\u62e9\u4e00\u5bb6\u5496\u5561\u5e97\u559d\u5496\u5561\uff0c\u8981\u6c42\u5496\u5561\u5e97\u4f4d\u4e8e\u4e24\u4eba\u4f4f\u7684\u4e24\u5bb6\u5ba2\u6808\u4e4b\u95f4\uff08\u5305\u62ec\u4ed6\u4eec\u4f4f\u7684\u5ba2\u6808\uff09\uff0c\u4e14\u5496\u5561\u5e97\u7684\u6700\u4f4e\u6d88\u8d39\u4e0d\u8d85\u8fc7 $p$ \u3002<\/p>\n
\u4ed6\u4eec\u60f3\u77e5\u9053\u603b\u5171\u6709\u591a\u5c11\u79cd\u9009\u62e9\u4f4f\u5bbf\u7684\u65b9\u6848\uff0c\u4fdd\u8bc1\u665a\u4e0a\u53ef\u4ee5\u627e\u5230\u4e00\u5bb6\u6700\u4f4e\u6d88\u8d39\u4e0d\u8d85\u8fc7 $p$ \u5143\u7684\u5496\u5561\u5e97\u5c0f\u805a\u3002<\/p>\n
## \u8f93\u5165\u683c\u5f0f<\/p>\n
\u8f93\u5165\u5171 $n+1$ \u884c\u3002<\/p>\n
\u7b2c\u4e00\u884c\u4e09\u4e2a\u6574\u6570 $n,k,p$\uff0c\u6bcf\u4e24\u4e2a\u6574\u6570\u4e4b\u95f4\u7528\u4e00\u4e2a\u7a7a\u683c\u9694\u5f00\uff0c\u5206\u522b\u8868\u793a\u5ba2\u6808\u7684\u4e2a\u6570\uff0c\u8272\u8c03\u7684\u6570\u76ee\u548c\u80fd\u63a5\u53d7\u7684\u6700\u4f4e\u6d88\u8d39\u7684\u6700\u9ad8\u503c\u3002<\/p>\n
\u63a5\u4e0b\u6765\u7684 $n$ \u884c\uff0c\u7b2c $i+1$ \u884c\u4e24\u4e2a\u6574\u6570\uff0c\u4e4b\u95f4\u7528\u4e00\u4e2a\u7a7a\u683c\u9694\u5f00\uff0c\u5206\u522b\u8868\u793a $i$ \u53f7\u5ba2\u6808\u7684\u88c5\u9970\u8272\u8c03\u548c $i$ \u53f7\u5ba2\u6808\u7684\u5496\u5561\u5e97\u7684\u6700\u4f4e\u6d88\u8d39\u3002<\/p>\n
## \u8f93\u51fa\u683c\u5f0f<\/p>\n
\u8f93\u51fa\u4e00\u884c\u4e00\u4e2a\u6574\u6570\uff0c\u8868\u793a\u53ef\u9009\u7684\u4f4f\u5bbf\u65b9\u6848\u7684\u603b\u6570\u3002<\/p>\n
## \u6837\u4f8b #1<\/p>\n
### \u6837\u4f8b\u8f93\u5165 #1<\/p>\n
```
\n5 2 3
\n0 5
\n1 3
\n0 2
\n1 4
\n1 5
\n```<\/p>\n
### \u6837\u4f8b\u8f93\u51fa #1<\/p>\n
```
\n3
\n```<\/p>\n
## \u63d0\u793a<\/p>\n
\u3010\u6837\u4f8b\u89e3\u91ca\u3011<\/p>\n
$$
\n\\def\\arraystretch{1.5}
\n\\begin{array}{|c|c|c|c|c|c|}\\hline
\n\\textsf{\u5ba2\u6808\u7f16\u53f7} & \\text{\u2460} & \\text{\u2461} & \\text{\u2462} & \\text{\u2463} & \\text{\u2464} \\\\\\hline
\n\\textsf{\u8272\u8c03} & 0 & 1 & 0 & 1 & 1 \\\\\\hline
\n\\textsf{\u6700\u4f4e\u6d88\u8d39} & 5 & 3 & 2 & 4 & 5 \\\\ \\hline
\n\\end{array}$$<\/p>\n
\u4e8c\u4eba\u8981\u4f4f\u540c\u6837\u8272\u8c03\u7684\u5ba2\u6808\uff0c\u6240\u6709\u53ef\u9009\u7684\u4f4f\u5bbf\u65b9\u6848\u5305\u62ec\uff1a\u4f4f\u5ba2\u6808\u2460\u2462\uff0c\u2461\u2463\uff0c\u2461\u2464\uff0c\u2463\u2464\u3002<\/p>\n
\u4f46\u662f\u82e5\u9009\u62e9\u4f4f \u2463\u2464 \u53f7\u5ba2\u6808\u7684\u8bdd\uff0c\u2463\u2464 \u53f7\u5ba2\u6808\u4e4b\u95f4\u7684\u5496\u5561\u5e97\u7684\u6700\u4f4e\u6d88\u8d39\u662f $4$\uff0c\u800c\u4e24\u4eba\u80fd\u627f\u53d7\u7684\u6700\u4f4e\u6d88\u8d39\u662f $3$ \u5143\uff0c\u6240\u4ee5\u4e0d\u6ee1\u8db3\u8981\u6c42\u3002\u56e0\u6b64\u53ea\u6709\u524d $3$ \u79cd\u65b9\u6848\u53ef\u9009\u3002<\/p>\n
\u3010\u6570\u636e\u8303\u56f4\u3011
\n\u5bf9\u4e8e $25\\%$ \u7684\u6570\u636e\uff0c$n\\leq 100$\uff1b
\n\u5bf9\u4e8e $40\\%$ \u7684\u6570\u636e\uff0c$n\\leq 1000$\uff1b
\n\u5bf9\u4e8e $80\\%$ \u7684\u6570\u636e\uff0c$n\\leq 2 \\times 10^5$\uff0c$k \\leq 50$\uff1b
\n\u5bf9\u4e8e $100\\%$ \u7684\u6570\u636e\uff0c$2\\leq n\\leq2\\times 10^6$\uff0c$1 \\le k\\leq 10^4$\uff0c$0\\leq p\\leq 100$\uff0c$0\\leq$ \u6700\u4f4e\u6d88\u8d39 $\\leq 100$ \u3002
\n# \u89e3\u9898\u601d\u8def
\n\u9898\u8bbe\uff1aans[MAXN]\u8868\u793a\u70b9i\u4f5c\u4e3a\u53f3\u7aef\u70b9\u65f6\u7684\u89e3\u7684\u4e2a\u6570,num[10001]\u8868\u793a\u7b2ck\u4e2a\u989c\u8272\u7684\u7aef\u70b9\u4e2a\u6570\uff0clast_appear[10001]\u8bb0\u5f55\u7b2ck\u4e2a\u989c\u8272\u6700\u540e\u4e00\u6b21\u51fa\u73b0\u7684\u4f4d\u7f6e\u3002
\n\u5bf9\u4e8e\u65b0\u8bfb\u5165\u7684\u70b9i\uff0c\u4f5c\u4e3a\u53f3\u7aef\u70b9\uff0c\u5224\u65ad\u524di-1\u4e2a\u70b9\u6709\u591a\u5c11\u7b26\u5408\u8981\u6c42\u7684\uff1b\u7b5b\u9009\u8fc7\u7a0b\u5982\u4e0b\uff1a
\n$p_i <= p$ i\u4f5c\u4e3a\u53f3\u7aef\u70b9\u65f6ans[i]\u76f4\u63a5\u7b49\u4e8e\u6b64\u524d\u8be5\u8282\u70b9\u989c\u8272\u51fa\u73b0\u6b21\u6570\u5373\u53ef\uff1b\n$p_i > p$ \u5206\u7c7b\u8ba8\u8bba\uff0c\u5206\u7c7b\u652f\u70b9\u4e3a\u4e0a\u6b21\u51fa\u73b0\u8be5\u989c\u8272\u7684\u8282\u70b9\u524d\u548c\u672c\u6b21\u51fa\u73b0\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u5408\u683c\u8282\u70b9
\n- $last_appear[color_i] <= last_key ans[i] = num[color_i]$\n- $last_appear[color_i] > last_key ans[i] = ans[last_appear[color_i]]$
\n\u6700\u7ec8\u7ed3\u679c\u4e3a$\\sum_{i=1}^{N}ans_i$<\/p>\n","protected":false},"excerpt":{"rendered":"
# \u9009\u62e9\u5ba2\u6808 \u52a0\u5f3a\u7248 ## \u9898\u76ee\u63cf\u8ff0 \u4e3d\u6c5f\u6cb3\u8fb9\u6709 $n$ \u5bb6\u5f88\u6709\u7279\u8272\u7684\u5ba2\u6808\uff0c\u5ba2\u6808\u6309\u7167\u5176\u4f4d\u7f6e\u987a\u5e8f\u4ece $1$ \u5230 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,114],"tags":[],"_links":{"self":[{"href":"http:\/\/tamanegi.xyz\/index.php?rest_route=\/wp\/v2\/posts\/955"}],"collection":[{"href":"http:\/\/tamanegi.xyz\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/tamanegi.xyz\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/tamanegi.xyz\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/tamanegi.xyz\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=955"}],"version-history":[{"count":1,"href":"http:\/\/tamanegi.xyz\/index.php?rest_route=\/wp\/v2\/posts\/955\/revisions"}],"predecessor-version":[{"id":956,"href":"http:\/\/tamanegi.xyz\/index.php?rest_route=\/wp\/v2\/posts\/955\/revisions\/956"}],"wp:attachment":[{"href":"http:\/\/tamanegi.xyz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=955"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/tamanegi.xyz\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=955"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/tamanegi.xyz\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=955"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}