{"id":198,"date":"2010-03-28T12:35:00","date_gmt":"2010-03-28T04:35:00","guid":{"rendered":"http:\/\/localhost\/?p=198"},"modified":"2010-03-28T12:35:00","modified_gmt":"2010-03-28T04:35:00","slug":"ahoi2009_seq_maintain_sequence_seq","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/wjmzbmr\/?p=198","title":{"rendered":"[Ahoi2009]Seq \u7ef4\u62a4\u5e8f\u5217seq"},"content":{"rendered":"\n<p>[Ahoi2009]Seq \u7ef4\u62a4\u5e8f\u5217seq <\/p>\n<p>Time Limit:30000MS&#160; Memory Limit:65536K<br \/>Total Submit:27 Accepted:13 <br \/>Case Time Limit:3000MS<\/p>\n<p><strong>Description <\/strong><\/p>\n<p>     \u8001\u5e08\u4ea4\u7ed9\u5c0f\u53ef\u53ef\u4e00\u4e2a\u7ef4\u62a4\u6570\u5217\u7684\u4efb\u52a1\uff0c\u73b0\u5728\u5c0f\u53ef\u53ef\u5e0c\u671b\u4f60\u6765\u5e2e\u4ed6\u5b8c\u6210\u3002 <br \/>\u6709\u957f\u4e3aN\u7684\u6570\u5217\uff0c\u4e0d\u59a8\u8bbe\u4e3aa1,a2,\u2026,aN \u3002\u6709\u5982\u4e0b\u4e09\u79cd\u64cd\u4f5c\u5f62\u5f0f\uff1a <br \/>(1)\u628a\u6570\u5217\u4e2d\u7684\u4e00\u6bb5\u6570\u5168\u90e8\u4e58\u4e00\u4e2a\u503c; <br \/>(2)\u628a\u6570\u5217\u4e2d\u7684\u4e00\u6bb5\u6570\u5168\u90e8\u52a0\u4e00\u4e2a\u503c; <br \/>(3)\u8be2\u95ee\u6570\u5217\u4e2d\u7684\u4e00\u6bb5\u6570\u7684\u548c\uff0c\u7531\u4e8e\u7b54\u6848\u53ef\u80fd\u5f88\u5927\uff0c\u4f60\u53ea\u9700\u8f93\u51fa\u8fd9\u4e2a\u6570\u6a21P\u7684\u503c\u3002 <\/p>\n<p><strong>Input <\/strong><\/p>\n<p> \u7b2c\u4e00\u884c\u4e24\u4e2a\u6574\u6570N\u548cP(1\u2264P\u22641000000000\uff09\u3002\u7b2c\u4e8c\u884c\u542b\u6709N\u4e2a\u975e\u8d1f\u6574\u6570,\u4ece\u5de6\u5230\u53f3\u4f9d\u6b21\u4e3aa1,a2,\u2026,aN,  (0\u2264ai\u22641000000000,1\u2264i\u2264N)\u3002\u7b2c\u4e09\u884c\u6709\u4e00\u4e2a\u6574\u6570M\uff0c\u8868\u793a\u64cd\u4f5c\u603b\u6570\u3002\u4ece\u7b2c\u56db\u884c\u5f00\u59cb\u6bcf\u884c\u63cf\u8ff0\u4e00\u4e2a\u64cd\u4f5c\uff0c\u8f93\u5165\u7684\u64cd\u4f5c\u6709\u4ee5\u4e0b\u4e09\u79cd\u5f62\u5f0f\uff1a <br \/>\u64cd\u4f5c1\uff1a\u201c1 t g c\u201d(\u4e0d\u542b\u53cc\u5f15\u53f7)\u3002\u8868\u793a\u628a\u6240\u6709\u6ee1\u8db3t\u2264i\u2264g\u7684ai\u6539\u4e3aai\u00d7c (1\u2264t\u2264g\u2264N,0\u2264c\u22641000000000)\u3002 <br \/>\u64cd\u4f5c2\uff1a\u201c2 t g c\u201d(\u4e0d\u542b\u53cc\u5f15\u53f7)\u3002\u8868\u793a\u628a\u6240\u6709\u6ee1\u8db3t\u2264i\u2264g\u7684ai\u6539\u4e3aai+c (1\u2264t\u2264g\u2264N,0\u2264c\u22641000000000)\u3002 <br \/>\u64cd\u4f5c3\uff1a\u201c3 t g\u201d(\u4e0d\u542b\u53cc\u5f15\u53f7)\u3002\u8be2\u95ee\u6240\u6709\u6ee1\u8db3t\u2264i\u2264g\u7684ai\u7684\u548c\u6a21P\u7684\u503c <br \/>(1\u2264t\u2264g\u2264N)\u3002 <br \/>\u540c\u4e00\u884c\u76f8\u90bb\u4e24\u6570\u4e4b\u95f4\u7528\u4e00\u4e2a\u7a7a\u683c\u9694\u5f00\uff0c\u6bcf\u884c\u5f00\u5934\u548c\u672b\u5c3e\u6ca1\u6709\u591a\u4f59\u7a7a\u683c\u3002 <\/p>\n<p><strong>Output <\/strong><\/p>\n<p>     \u5bf9\u6bcf\u4e2a\u64cd\u4f5c3\uff0c\u6309\u7167\u5b83\u5728\u8f93\u5165\u4e2d\u51fa\u73b0\u7684\u987a\u5e8f\uff0c\u4f9d\u6b21\u8f93\u51fa\u4e00\u884c\u4e00\u4e2a\u6574\u6570\u8868\u793a\u8be2\u95ee\u7ed3\u679c\u3002 <\/p>\n<p><strong>Sample Input <\/strong><\/p>\n<p>7 43<br \/>1 2 3 4 5 6 7<br \/>5<br \/>1 2 5 5<br \/>3 2 4<br \/>2 3 7 9<br \/>3 1 3<br \/>3 4 7<\/p>\n<p><strong>Sample Output <\/strong><\/p>\n<p>2<br \/>35<br \/>8<\/p>\n<p><strong>Hint <\/strong><\/p>\n<p> \u3010\u6837\u4f8b\u8bf4\u660e\u3011 <\/p>\n<p>\u521d\u59cb\u65f6\u6570\u5217\u4e3a(1,2,3,4,5,6,7)\u3002 <br \/>\u7ecf\u8fc7\u7b2c1\u6b21\u64cd\u4f5c\u540e\uff0c\u6570\u5217\u4e3a(1,10,15,20,25,6,7)\u3002 <br \/>\u5bf9\u7b2c2\u6b21\u64cd\u4f5c\uff0c\u548c\u4e3a10+15+20=45\uff0c\u6a2143\u7684\u7ed3\u679c\u662f2\u3002 <br \/>\u7ecf\u8fc7\u7b2c3\u6b21\u64cd\u4f5c\u540e\uff0c\u6570\u5217\u4e3a(1,10,24,29,34,15,16} <br \/>\u5bf9\u7b2c4\u6b21\u64cd\u4f5c\uff0c\u548c\u4e3a1+10+24=35\uff0c\u6a2143\u7684\u7ed3\u679c\u662f35\u3002 <br \/>\u5bf9\u7b2c5\u6b21\u64cd\u4f5c\uff0c\u548c\u4e3a29+34+15+16=94,\u6a2143\u7684\u7ed3\u679c\u662f8\u3002 <\/p>\n<p>\u6d4b\u8bd5\u6570\u636e\u89c4\u6a21\u5982\u4e0b\u8868\u6240\u793a <\/p>\n<p>\u6570\u636e\u7f16\u53f7 1 2 3 4 5 6 7 8 9 10 <br \/>N= 10 1000 1000 10000 60000 70000 80000 90000 100000 100000 <br \/>M= 10 1000 1000 10000 60000 70000 80000 90000 100000 100000 <\/p>\n<p><strong>Source <\/strong><\/p>\n<p> Day1<br \/>\u8fd9\u9053\u9898\u4e00\u773c\u5c31\u770b\u51fa\u662f\u7ebf\u6bb5\u6811\u7684\u9898\u76ee\u56e7\u3002\u3002\u4f46\u662f\u4fe1\u606f\u5f88\u96be\u7ef4\u62a4\u554a\u56e7\u3002\u3002<br \/>\u6211\u4e00\u5f00\u59cb\u60f3\u7684\u529e\u6cd5\u662f\u6807\u8bb0\u6700\u540e\u4e00\u6b21\u64cd\u4f5c\u7684\u79cd\u7c7b\uff0c\u5982\u679c\u4e00\u6837\u7684\u8bdd\u5c31\u6807\u4e0a\u53bb\uff0c\u5426\u5219\u5c31\u5148\u4f20\u9012\u5728\u6807\u4e0a\u53bb\u3002\u4f46\u8fd9\u6837\u80af\u5b9a\u662f\u8981TLE\u7684\u56e7\u3002\u3002<br \/>\u7136\u540e\u6211\u5c31\u60f3\u662f\u4e0d\u662f\u8981\u591a\u7ef4\u62a4\u4e00\u70b9\u4e1c\u897f\uff0c\u7136\u540e\u6211\u53d1\u73b0\u597d\u50cf\u7ef4\u62a4\u201c\u5148\u4e58a\uff0c\u518d\u52a0b\u201d\u8fd9\u6837\u7684\u4fe1\u606f\u662f\u53ef\u4ee5\u4f20\u9012\u7684\u56e7\u3002\u3002\u7a0b\u5e8f\u6162\u7684\u8ddf\u9b3c\u4e00\u6837\u56e7\u3002<br \/>PS\u3002\u3002\u6700\u8fd1\u6700\u540e\u4e00\u6b21\u5237\u9898\u76ee\u4e86\u3002\u8981\u53bb\u53c2\u52a0\u6570\u5b66\u7ade\u8d5b\u4e86\u56e7\u3002\u30024\u6708\u4e2d\u65ec\u518d\u56de\u6765\u5427\u3002\u3002<br \/>\u539f\u6765\u6211\u662f\u5f88\u9119\u89c6\u5b8f\u7684\uff0c\u89c9\u5f97\u5f71\u54cd\u53ef\u8bfb\u6027\uff0c\u73b0\u5728\u624d\u7406\u89e3\u7528\u5b8f\u7684\u4eba\u7684\u5fc3\u60c5\uff0c\u771f\u662f\u3002TMD\u592a\u723d\u4e86\u56e7\u3002\u3002<\/p>\n<p>Code\uff1a<\/p>\n<p>#include&lt;cstdio&gt;<br \/>#include&lt;iostream&gt;<br \/>#include&lt;algorithm&gt;<br \/>#include&lt;string&gt;<br \/>#include&lt;vector&gt;<br \/>#include&lt;cstring&gt;<br \/>#define rep(i,n) for(int i=0;i&lt;n;i++)<br \/>#define pb push_back<br \/>using namespace std;<br \/>const int inf=~0U&gt;&gt;1,maxn=100000;<br \/>typedef long long ll;<br \/>ll sum[maxn*3],A[maxn],mod;<br \/>int n;<br \/>struct Mark<br \/>{<br \/>    ll mul,plus;<br \/>    bool operator==(const Mark&amp;o)const<br \/>    {return mul==o.mul&amp;&amp;plus==o.plus;}<br \/>    Mark(ll _mul=1,ll _plus=0):mul(_mul),plus(_plus){}<br \/>}none,mark[maxn*3];<br \/>void Plus(ll&amp;a,ll b){a+=b;a%=mod;}<br \/>void Mul(ll&amp;a,ll b){a*=b;a%=mod;}<br \/>#define Tree int t,int l,int r<br \/>#define This t,l,r<br \/>#define Left t*2,l,(l+r)\/2<br \/>#define Right t*2+1,(l+r)\/2,r<br \/>void MarkIt(Tree,Mark m)<br \/>{<br \/>    Mul(sum[t],m.mul);Plus(sum[t],(r-l)*m.plus);<br \/>    Mul(mark[t].mul,m.mul);Mul(mark[t].plus,m.mul);Plus(mark[t].plus,m.plus);<br \/>}<br \/>void PushDown(Tree)<br \/>{<br \/>    if(mark[t]==none)return;<br \/>    MarkIt(Left,mark[t]),MarkIt(Right,mark[t]),mark[t]=none;<br \/>}<br \/>void Build(Tree)<br \/>{<br \/>    mark[t]=none;<br \/>    if(l+1==r){sum[t]=A[l];return;}<br \/>    Build(Left);Build(Right);<br \/>    sum[t]=(sum[t*2]+sum[t*2+1])%mod;<br \/>}<br \/>void Change(Tree,int a,int b,Mark m)<br \/>{<br \/>    if(l&gt;=b||r&lt;=a)return;<br \/>    if(l&gt;=a&amp;&amp;r&lt;=b){MarkIt(This,m);return;}<br \/>    PushDown(This);<br \/>    Change(Left,a,b,m);Change(Right,a,b,m);<br \/>    sum[t]=sum[t*2]+sum[t*2+1];sum[t]%=mod;<br \/>}<br \/>ll Ask(Tree,int a,int b)<br \/>{<br \/>    if(l&gt;=b||r&lt;=a)return 0;<br \/>    if(l&gt;=a&amp;&amp;r&lt;=b) return sum[t];<br \/>    PushDown(This);<br \/>    return (Ask(Left,a,b)+Ask(Right,a,b))%mod;<br \/>}<br \/>int main()<br \/>{<br \/>    \/\/freopen(&quot;in&quot;,&quot;r&quot;,stdin);<br \/>    scanf(&quot;%d %d&quot;,&amp;n,&amp;mod);<br \/>    rep(i,n) scanf(&quot;%d&quot;,A+i);<br \/>    Build(1,0,n);<br \/>    int m,l,r,c,x;scanf(&quot;%d&quot;,&amp;m);<br \/>    rep(i,m)<br \/>    {<br \/>        scanf(&quot;%d %d %d&quot;,&amp;x,&amp;l,&amp;r);<br \/>        switch(x)<br \/>        {<br \/>            case 1:scanf(&quot;%d&quot;,&amp;c),Change(1,0,n,l-1,r,Mark(c,0));break;<br \/>            case 2:scanf(&quot;%d&quot;,&amp;c),Change(1,0,n,l-1,r,Mark(1,c));break;<br \/>            case 3:printf(&quot;%dn&quot;,Ask(1,0,n,l-1,r));break;<br \/>        }<br \/>    }<br \/>}<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[Ahoi2009]Seq \u7ef4\u62a4\u5e8f\u5217seq Time Limit:30000MS&#160; Memory Limit:65536KTotal Submit:27 Accepted:13 Case Time Limit:3000MS Description \u8001\u5e08\u4ea4\u7ed9\u5c0f\u53ef\u53ef\u4e00\u4e2a\u7ef4\u62a4\u6570\u5217\u7684\u4efb\u52a1\uff0c\u73b0\u5728\u5c0f\u53ef\u53ef\u5e0c\u671b\u4f60\u6765\u5e2e\u4ed6\u5b8c\u6210\u3002 \u6709\u957f\u4e3aN\u7684\u6570\u5217\uff0c\u4e0d\u59a8\u8bbe\u4e3aa1,a2,\u2026,aN \u3002\u6709\u5982\u4e0b\u4e09\u79cd\u64cd\u4f5c\u5f62\u5f0f\uff1a (1)\u628a\u6570\u5217\u4e2d\u7684\u4e00\u6bb5\u6570\u5168\u90e8\u4e58\u4e00\u4e2a\u503c; (2)\u628a\u6570\u5217\u4e2d\u7684\u4e00\u6bb5\u6570\u5168\u90e8\u52a0\u4e00\u4e2a\u503c; (3)\u8be2\u95ee\u6570\u5217\u4e2d\u7684\u4e00\u6bb5\u6570\u7684\u548c\uff0c\u7531\u4e8e\u7b54\u6848\u53ef\u80fd\u5f88\u5927\uff0c\u4f60\u53ea\u9700\u8f93\u51fa\u8fd9\u4e2a\u6570\u6a21P\u7684\u503c\u3002 Input \u7b2c\u4e00\u884c\u4e24\u4e2a\u6574\u6570N\u548cP(1\u2264P\u22641000000000\uff09\u3002\u7b2c\u4e8c\u884c\u542b\u6709N\u4e2a\u975e\u8d1f\u6574\u6570,\u4ece\u5de6\u5230\u53f3\u4f9d\u6b21\u4e3aa1,a2,\u2026,aN, (0\u2264ai\u22641000000000,1\u2264i\u2264N)\u3002\u7b2c\u4e09\u884c\u6709\u4e00\u4e2a\u6574\u6570M\uff0c\u8868\u793a\u64cd\u4f5c\u603b\u6570\u3002\u4ece\u7b2c\u56db\u884c\u5f00\u59cb\u6bcf\u884c\u63cf\u8ff0\u4e00\u4e2a\u64cd\u4f5c\uff0c\u8f93\u5165\u7684\u64cd\u4f5c\u6709\u4ee5\u4e0b\u4e09\u79cd\u5f62\u5f0f\uff1a \u64cd\u4f5c1\uff1a\u201c1 t g c\u201d(\u4e0d\u542b\u53cc\u5f15\u53f7)\u3002\u8868\u793a\u628a\u6240\u6709\u6ee1\u8db3t\u2264i\u2264g\u7684ai\u6539\u4e3aai\u00d7c (1\u2264t\u2264g\u2264N,0\u2264c\u22641000000000)\u3002 \u64cd\u4f5c2\uff1a\u201c2 t g c\u201d(\u4e0d\u542b\u53cc\u5f15\u53f7)\u3002\u8868\u793a\u628a\u6240\u6709\u6ee1\u8db3t\u2264i\u2264g\u7684ai\u6539\u4e3aai+c (1\u2264t\u2264g\u2264N,0\u2264c\u22641000000000)\u3002 \u64cd\u4f5c3\uff1a\u201c3 t g\u201d(\u4e0d\u542b\u53cc\u5f15\u53f7)\u3002\u8be2\u95ee\u6240\u6709\u6ee1\u8db3t\u2264i\u2264g\u7684ai\u7684\u548c\u6a21P\u7684\u503c (1\u2264t\u2264g\u2264N)\u3002 \u540c\u4e00\u884c\u76f8\u90bb\u4e24\u6570\u4e4b\u95f4\u7528\u4e00\u4e2a\u7a7a\u683c\u9694\u5f00\uff0c\u6bcf\u884c\u5f00\u5934\u548c\u672b\u5c3e\u6ca1\u6709\u591a\u4f59\u7a7a\u683c\u3002 Output \u5bf9\u6bcf\u4e2a\u64cd\u4f5c3\uff0c\u6309\u7167\u5b83\u5728\u8f93\u5165\u4e2d\u51fa\u73b0\u7684\u987a\u5e8f\uff0c\u4f9d\u6b21\u8f93\u51fa\u4e00\u884c\u4e00\u4e2a\u6574\u6570\u8868\u793a\u8be2\u95ee\u7ed3\u679c\u3002 Sample Input 7 431 2 3 4 5 6 751 2 5 53 2 42 3 7 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[10],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/198"}],"collection":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=198"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/198\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=198"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=198"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=198"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}