{"id":28,"date":"2022-06-04T10:52:00","date_gmt":"2022-06-04T02:52:00","guid":{"rendered":"http:\/\/ubuntu.tim-wcx.ltd\/wordpress\/index.php\/2022\/06\/04\/2020-08-17\/"},"modified":"2022-06-04T10:52:00","modified_gmt":"2022-06-04T02:52:00","slug":"2020-08-17","status":"publish","type":"post","link":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/2022\/06\/04\/2020-08-17\/","title":{"rendered":"2020-08-17"},"content":{"rendered":"

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http:\/\/icpc.upc.edu.cn\/problem.php?cid=2548&pid=2<\/a><\/p>\n

<\/a>\u9898\u76ee\u63cf\u8ff0<\/h5>\n

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Rainy7 \u6563\u6b65\u65f6\uff0c\u4f1a\u6cbf\u77e9\u5f62\u5bf9\u89d2\u7ebf\u4ece\u5de6\u4e0a\u89d2\u8d70\u5230\u53f3\u4e0b\u89d2\uff0c\u5979\u80fd\u89c2\u8d4f\u5230\u6240\u6709\u5979\u7ecf\u8fc7\u7684\u683c\u5b50\uff08\u4e0d\u5305\u62ec\u683c\u70b9\uff09\u4e2d\u7684\u80fd\u91cf\u82b1\u548c\u80fd\u91cf\u8349\u3002\u5979\u5e0c\u671b\u81ea\u5df1\u80fd\u89c2\u8d4f\u5230Q\u4e2a\u683c\u5b50\u91cc\u7684\u80fd\u91cf\u82b1\u548c\u80fd\u91cf\u8349\u3002<\/p>\n

Rainy7 \u547d\u4ee4 CaBeF_Yyx \u627e\u51fa\u6240\u6709\u80fd\u6ee1\u8db3\u5979\u7684\u8981\u6c42\u7684\u77e9\u5f62\uff0c\u5426\u5219\u5979\u8981\u7528\u780d\u5934\u672f\u5c06 CaBeF_Yyx \u7684\u5934\u780d\u4e0b\u6765\u3002<\/p>\n

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\u6240\u4ee5\u4f60\u4e00\u5171\u8981\u89e3\u51b3\u4e24\u4e2a\u95ee\u9898\uff0c\u624d\u80fd\u4fdd\u8bc1 CaBeF_Yyx \u4e0d\u88ab Rainy7 \u780d\u5934\u3002<\/p>\n

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<\/a>\u8f93\u5165<\/h5>\n

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<\/a>\u8f93\u51fa<\/h5>\n

T \u884c\uff0c\u6bcf\u884c\u4e24\u4e2a\u6574\u6570\uff0c\u8868\u793a\u6bcf\u6b21\u8be2\u95ee\u7684\u7b54\u6848\uff0c\u7b2c\u4e00\u4e2a\u8868\u793a\u6ee1\u8db3\u6761\u4ef6\u77e9\u9635\u7684\u6570\u91cf\uff0c\u7b2c\u4e8c\u4e2a\u8868\u793a\u5706\u4e0a\u683c\u70b9\u6570\u3002<\/p>\n

<\/a>\u6837\u4f8b\u8f93\u5165<\/h5>\n
1\n4 4\n<\/code><\/pre>\n
<\/a>\u6837\u4f8b\u8f93\u51fa<\/h5>\n
4 4\n<\/code><\/pre>\n
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\u957f\u548c\u5bbd\u5206\u522b\u4e3aX\uff0cY\u7684\u77e9\u5f62\u4e0e\u957f\u548c\u5bbd\u5206\u522b\u4e3aY,X\u7684\u77e9\u5f62\u662f\u540c\u4e00\u4e2a\u77e9\u5f62\u3002<\/p>\n
<\/a>\u89e3\u6790<\/h5>\n
\u53c2\u7167\u535a\u5ba2\uff1a
 https:\/\/blog.csdn.net\/qq_30205523\/article\/details\/100528069<\/a>
 https:\/\/blog.csdn.net\/clover_hxy\/article\/details\/72955869<\/a>
 \u6c42\u7b2c\u4e00\u4e2a\u6570\uff0cm*n\u7684\u77e9\u5f62\u5bf9\u89d2\u7ebf\u8fc7\u65b9\u683c\u7684\u6570\u76ee\u4e3am+n-gcd(m,n)
 \u5219\u53ef\u5217\u5f97\u65b9\u7a0b\uff0cm+n-gcd(m,n)=k\uff0c\u63d0\u53d6\u56e0\u5f0fgcd(m,n)\u8bb0\u4e3ag\uff0c\u5219\u539f\u5f0f\u53d8\u4e3am\/g+n\/g-1=k\/g\uff0c\u5219m\/g\u548cn\/g\u4e00\u5b9a\u4e92\u8d28\u4e14\u548c\u4e3a1+k\/g\uff0c\u6b64\u65f6g\u4e00\u5b9a\u4e3ak\u7684\u7ea6\u6570\uff0c\u6211\u4eec\u53ef\u4ee5\u679a\u4e3ek\u7684\u7ea6\u6570\uff0c\u7136\u540e\u6839\u636em\/g\u548cn\/g\u4e92\u8d28\uff0c\u5219gcd(m\/g,n\/g)=1\uff0c\u7531gcd\u7684\u6027\u8d28\uff0c\u5219gcd(m\/g,m\/g+n\/g)=1\uff0c\u5373\u4e3agcd(m\/g,k\/g+1)=1\uff0c\u4e92\u8d28\uff0c\u6b27\u62c9\u51fd\u6570\u6c42\u51fa\u6570\u76ee\u6c42\u548c\u5373\u53ef\u3002
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#include<\/span><\/span><\/span>\nusing<\/span> namespace<\/span> std;<\/span>\ntypedef<\/span> long<\/span> long<\/span> ll;<\/span>\nconst<\/span> ll n=<\/span>1e7<\/span>+<\/span>50<\/span>;<\/span>\nll pr[<\/span>10005007<\/span>]<\/span>=<\/span>{<\/span>0<\/span>}<\/span>,<\/span> ph[<\/span>10005007<\/span>]<\/span>=<\/span>{<\/span>0<\/span>}<\/span>;<\/span>\nbool<\/span> vis[<\/span>10005007<\/span>]<\/span>=<\/span>{<\/span>0<\/span>}<\/span>;<\/span>\nll R,<\/span>ans=<\/span>0<\/span>,<\/span>S,<\/span>sum=<\/span>1<\/span>,<\/span>x,<\/span>cnt=<\/span>0<\/span>;<\/span>\nll gcd<\/span>(<\/span>ll a,<\/span>ll b)<\/span>\n{<\/span>\n    return<\/span> b==<\/span>0<\/span>?<\/span>a:<\/span>gcd<\/span>(<\/span>b,<\/span>a%<\/span>b)<\/span>;<\/span>\n}<\/span>\nvoid<\/span> fun<\/span>(<\/span>ll d)<\/span>\n{<\/span>\n    ll v;<\/span>\n    for<\/span>(<\/span>ll u=<\/span>1<\/span>;<\/span> u<=<\/span>(<\/span>ll)<\/span>sqrt<\/span>(<\/span>1.0<\/span>*<\/span>2<\/span>*<\/span>R\/<\/span>d)<\/span>;<\/span> u++<\/span>)<\/span>\n    {<\/span>\n        v=<\/span>(<\/span>ll)<\/span>sqrt<\/span>(<\/span>1.0<\/span>*<\/span>2<\/span>*<\/span>R\/<\/span>d-<\/span>u*<\/span>u*<\/span>1.0<\/span>)<\/span>;<\/span>\n        if<\/span>(<\/span>gcd<\/span>(<\/span>v,<\/span>u)<\/span>==<\/span>1<\/span>&&<\/span>u<=<\/span>v&&<\/span>d*<\/span>(<\/span>u*<\/span>u+<\/span>v*<\/span>v)<\/span>==<\/span>2<\/span>*<\/span>R)<\/span>\n            ans++<\/span>;<\/span>\n    }<\/span>\n}<\/span>\nint<\/span> main<\/span>(<\/span>)<\/span>\n{<\/span>\n    ph[<\/span>1<\/span>]<\/span> =<\/span> 1<\/span> ;<\/span>\n    for<\/span>(<\/span>register<\/span> ll  i =<\/span> 2<\/span> ;<\/span> i<=<\/span>n-<\/span>1<\/span>;<\/span> ++<\/span> i )<\/span>\n    {<\/span>\n        if<\/span>(<\/span>!<\/span>vis[<\/span>i]<\/span>)<\/span>\n        {<\/span>\n            cnt ++<\/span> ;<\/span>\n            pr[<\/span>cnt]<\/span> =<\/span> i ;<\/span>\n            ph[<\/span>i]<\/span> =<\/span> i -<\/span> 1<\/span> ;<\/span>\n        }<\/span>\n        for<\/span>(<\/span>register<\/span> ll j=<\/span>1<\/span>;<\/span> j <=<\/span>cnt&&<\/span>i*<\/span>pr[<\/span>j]<\/span><=<\/span>n-<\/span>1<\/span>;<\/span> ++<\/span> j )<\/span> \/\/\u6b27\u62c9\u7b5b\u6cd5<\/span>\n        {<\/span>\n            vis[<\/span> i *<\/span> pr[<\/span>j]<\/span> ]<\/span> =<\/span> 1<\/span> ;<\/span>\n            if<\/span>(<\/span> i %<\/span> pr[<\/span>j]<\/span> ==<\/span> 0<\/span> )<\/span>\n            {<\/span>\n                ph[<\/span> pr[<\/span>j]<\/span> *<\/span> i ]<\/span> =<\/span> ph[<\/span>i]<\/span> *<\/span> pr[<\/span>j]<\/span> ;<\/span>\n                break<\/span>;<\/span>\n            }<\/span>\n            else<\/span>\n                ph [<\/span> pr[<\/span>j]<\/span> *<\/span> i]<\/span> =<\/span> ph[<\/span>i]<\/span> *<\/span> (<\/span>pr[<\/span>j]<\/span> -<\/span> 1<\/span> )<\/span>;<\/span>\n        }<\/span>\n    }<\/span>\n    register<\/span> ll t;<\/span>\n    scanf<\/span>(<\/span>\"%lld\"<\/span>,<\/span>&<\/span>t)<\/span>;<\/span>\n    while<\/span>(<\/span>t--<\/span>)<\/span>\n    {<\/span>\n        ans=<\/span>0<\/span>,<\/span>sum=<\/span>1<\/span>;<\/span>\n        scanf<\/span>(<\/span>\"%lld\"<\/span>,<\/span>&<\/span>S)<\/span>;<\/span>\n        for<\/span>(<\/span>register<\/span> ll i=<\/span>1<\/span>;<\/span> i<=<\/span>sqrt<\/span>(<\/span>S)<\/span>;<\/span> i++<\/span>)<\/span>\n        {<\/span>\n            if<\/span>(<\/span>S%<\/span>i==<\/span>0<\/span>)<\/span>\n            {<\/span>\n                sum+<\/span>=<\/span>ph[<\/span>S\/<\/span>i+<\/span>1<\/span>]<\/span>;<\/span>\n                if<\/span>(<\/span>i*<\/span>i!=<\/span>S)<\/span>\n                    sum+<\/span>=<\/span>ph[<\/span>i+<\/span>1<\/span>]<\/span>;<\/span>\n            }<\/span>\n        }<\/span>\n        sum\/<\/span>=<\/span>2<\/span>;<\/span>\n        scanf<\/span>(<\/span>\"%lld\"<\/span>,<\/span>&<\/span>R)<\/span>;<\/span>\n        for<\/span>(<\/span>register<\/span> ll i=<\/span>1<\/span>;<\/span> i<=<\/span>(<\/span>ll)<\/span>sqrt<\/span>(<\/span>1.0<\/span>*<\/span>R*<\/span>2<\/span>)<\/span>;<\/span> i++<\/span>)<\/span>\n        {<\/span>\n            if<\/span>(<\/span>2<\/span>*<\/span>R%<\/span>i==<\/span>0<\/span>)<\/span>\n            {<\/span>\n                if<\/span>(<\/span>(<\/span>ll)<\/span>i*<\/span>i!=<\/span>2<\/span>*<\/span>R)<\/span>\n                {<\/span>\n                    fun<\/span>(<\/span>2<\/span>*<\/span>R\/<\/span>i)<\/span>;<\/span>\n                    fun<\/span>(<\/span>i)<\/span>;<\/span>\n                }<\/span>\n                else<\/span>\n                    fun<\/span>(<\/span>i)<\/span>;<\/span>\n            }<\/span>\n        }<\/span>\n        ans*<\/span>=<\/span>4<\/span>;<\/span>\n        printf<\/span>(<\/span>\"%lld %lldn\"<\/span>,<\/span>sum,<\/span>ans)<\/span>;<\/span>\n    }<\/span>\n    return<\/span> 0<\/span>;<\/span>\n}<\/span>\n<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"
http:\/\/icpc.upc.edu.cn\/pr…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-28","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/posts\/28","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/comments?post=28"}],"version-history":[{"count":0,"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/posts\/28\/revisions"}],"wp:attachment":[{"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/media?parent=28"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/categories?post=28"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/tags?post=28"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}