{"id":47,"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\/2020-7-31\/"},"modified":"2022-06-04T10:52:00","modified_gmt":"2022-06-04T02:52:00","slug":"2020-7-31","status":"publish","type":"post","link":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/2022\/06\/04\/2020-7-31\/","title":{"rendered":"2020-7-31"},"content":{"rendered":"<p><svg  style=\"display: none;\">\n                        <path stroke-linecap=\"round\" d=\"M5,0 0,2.5 5,5z\" id=\"raphael-marker-block\" style=\"-webkit-tap-highlight-color: rgba(0, 0, 0, 0);\"><\/path>\n                    <\/svg><\/p>\n<p><a href=\"http:\/\/icpc.upc.edu.cn\/problem.php?cid=1459&#038;pid=0\">http:\/\/icpc.upc.edu.cn\/problem.php?cid=1459&#038;pid=0<\/a><\/p>\n<h4><a id=\"_1\"><\/a>\u9898\u76ee<\/h4>\n<p>\u8fd9\u662f\u4e00\u9053\u6a21\u677f\u9898\u3002<br \/> \u7ed9\u5b9a\u4e00\u4e2a\u5b57\u7b26\u4e32A\u548c\u4e00\u4e2a\u5b57\u7b26\u4e32B\uff0c\u6c42B\u5728A\u4e2d\u7684\u51fa\u73b0\u6b21\u6570\u3002A\u548cB\u4e2d\u7684\u5b57\u7b26\u5747\u4e3a\u82f1\u8bed\u5927\u5199\u5b57\u6bcd\u6216\u5c0f\u5199\u5b57\u6bcd\u3002<br \/> A\u4e2d\u4e0d\u540c\u4f4d\u7f6e\u51fa\u73b0\u7684B\u53ef\u91cd\u53e0\u3002<\/p>\n<h5><a id=\"_5\"><\/a>\u8f93\u5165<\/h5>\n<p>\u8f93\u5165\u5171\u4e24\u884c\uff0c\u5206\u522b\u662f\u5b57\u7b26\u4e32A\u548c\u5b57\u7b26\u4e32B\u3002<\/p>\n<h5><a id=\"_7\"><\/a>\u8f93\u51fa<\/h5>\n<p>\u8f93\u51fa\u4e00\u4e2a\u6574\u6570\uff0c\u8868\u793aB\u5728A\u4e2d\u7684\u51fa\u73b0\u6b21\u6570\u3002<\/p>\n<h5><a id=\"_9\"><\/a>\u6837\u4f8b\u8f93\u5165<\/h5>\n<pre><code>zyzyzyz\nzyz\n<\/code><\/pre>\n<h5><a id=\"_14\"><\/a>\u6837\u4f8b\u8f93\u51fa<\/h5>\n<pre><code>3\n<\/code><\/pre>\n<h4><a id=\"_18\"><\/a>\u63d0\u793a<\/h4>\n<p>1\u2264A,B\u7684\u957f\u5ea6\u226410^6\uff0cA\u3001B\u4ec5\u5305\u542b\u5927\u5c0f\u5199\u5b57\u6bcd\u3002<\/p>\n<h4><a id=\"_20\"><\/a>\u89e3\u6790<\/h4>\n<p>\u8fd9\u662f\u4e00\u9053\u5b57\u7b26\u4e32\u54c8\u5e0c\u7684\u9898\u76ee<\/p>\n<pre><code class=\"prism language-cpp\"><span class=\"token macro property\">#<span class=\"token directive keyword\">pragma<\/span> GCC optimize(1)<\/span>\n<span class=\"token macro property\">#<span class=\"token directive keyword\">pragma<\/span> GCC optimize(2)<\/span>\n<span class=\"token macro property\">#<span class=\"token directive keyword\">pragma<\/span> GCC optimize(3,\"Ofast\",\"inline\")<\/span>\n<span class=\"token macro property\">#<span class=\"token directive keyword\">include<\/span> <span class=\"token string\"><bits\/stdc++.h><\/span><\/span>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">long<\/span> <span class=\"token keyword\">long<\/span> ll<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">const<\/span> <span class=\"token keyword\">int<\/span> N<span class=\"token operator\">=<\/span><span class=\"token number\">1e6<\/span><span class=\"token operator\">+<\/span><span class=\"token number\">500<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">char<\/span> a<span class=\"token punctuation\">[<\/span>N<span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token string\">\"\"<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">char<\/span> b<span class=\"token punctuation\">[<\/span>N<span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token string\">\"\"<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> base<span class=\"token operator\">=<\/span><span class=\"token number\">31<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">long<\/span> <span class=\"token keyword\">long<\/span> p<span class=\"token punctuation\">[<\/span>N<span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token punctuation\">{<!-- --><\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">long<\/span> <span class=\"token keyword\">long<\/span> h<span class=\"token punctuation\">[<\/span>N<span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token punctuation\">{<!-- --><\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">long<\/span> <span class=\"token keyword\">long<\/span> sum1<span class=\"token operator\">=<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span>js1<span class=\"token punctuation\">,<\/span>sum<span class=\"token operator\">=<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> la<span class=\"token operator\">=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span>lb<span class=\"token operator\">=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">char<\/span> w<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>\n<span class=\"token punctuation\">{<!-- --><\/span>\n    <span class=\"token function\">scanf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"%s\"<\/span><span class=\"token punctuation\">,<\/span>a<span class=\"token operator\">+<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token function\">scanf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"%s\"<\/span><span class=\"token punctuation\">,<\/span>b<span class=\"token operator\">+<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">;<\/span>a<span class=\"token punctuation\">[<\/span>la<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>la<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">;<\/span>b<span class=\"token punctuation\">[<\/span>lb<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>lb<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n    la<span class=\"token operator\">--<\/span><span class=\"token punctuation\">;<\/span>\n    lb<span class=\"token operator\">--<\/span><span class=\"token punctuation\">;<\/span>\n    p<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i<span class=\"token operator\">=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\"><=<\/span><span class=\"token function\">max<\/span><span class=\"token punctuation\">(<\/span>la<span class=\"token punctuation\">,<\/span>lb<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n        p<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span>p<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">*<\/span>base<span class=\"token punctuation\">;<\/span> \t   <span class=\"token comment\">\/\/\u8fdb\u5236<\/span>\n    <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">>=<\/span><span class=\"token string\">'A'<\/span><span class=\"token operator\">&&<\/span>a<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\"><=<\/span><span class=\"token string\">'Z'<\/span><span class=\"token punctuation\">)<\/span>   <span class=\"token comment\">\/\/\u5224\u65ad\u5927\u5c0f\u5199<\/span>\n        w<span class=\"token operator\">=<\/span><span class=\"token string\">'A'<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token keyword\">else<\/span>\n        w<span class=\"token operator\">=<\/span><span class=\"token string\">'a'<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i<span class=\"token operator\">=<\/span>la<span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">>=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">--<\/span><span class=\"token punctuation\">)<\/span>\n        h<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span>h<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">+<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">*<\/span>base<span class=\"token operator\">+<\/span>a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token operator\">-<\/span>w<span class=\"token operator\">+<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/\u6c42a\u5b57\u7b26\u4e32\u7684\u54c8\u5e0c\u6570\u7ec4<\/span>\n    <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i<span class=\"token operator\">=<\/span>lb<span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">>=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">--<\/span><span class=\"token punctuation\">)<\/span>\n        sum1<span class=\"token operator\">=<\/span>sum1<span class=\"token operator\">*<\/span>base<span class=\"token operator\">+<\/span>b<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token operator\">-<\/span>w<span class=\"token operator\">+<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/\u6c42b\u5b57\u7b26\u4e32\u7684\u54c8\u5e0c<\/span>\n    <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i<span class=\"token operator\">=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\"><=<\/span>la<span class=\"token operator\">-<\/span>lb<span class=\"token operator\">+<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>    <span class=\"token comment\">\/\/\u6ce8\u610fi\u5fc5\u987b\u5c0f\u4e8e\u7b49\u4e8ela-lb \u5426\u5219\u6570\u7ec4\u4f1a\u8d8a\u754c<\/span>\n    <span class=\"token punctuation\">{<!-- --><\/span>\n        js1<span class=\"token operator\">=<\/span>h<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token operator\">-<\/span>h<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">+<\/span>lb<span class=\"token punctuation\">]<\/span><span class=\"token operator\">*<\/span>p<span class=\"token punctuation\">[<\/span>lb<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>    <span class=\"token comment\">\/\/\u5224\u65ad\u662f\u5426\u76f8\u7b49<\/span>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>js1<span class=\"token operator\">==<\/span>sum1<span class=\"token punctuation\">)<\/span>\n            sum<span class=\"token operator\">+<\/span><span class=\"token operator\">=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token punctuation\">}<\/span>\n    cout<span class=\"token operator\"><<<\/span>sum<span class=\"token operator\"><<<\/span>endl<span class=\"token punctuation\">;<\/span>\n<span class=\"token punctuation\">}<\/span>\n\n<\/code><\/pre>\n<p><a href=\"http:\/\/icpc.upc.edu.cn\/problem.php?cid=1459&#038;pid=2\">http:\/\/icpc.upc.edu.cn\/problem.php?cid=1459&#038;pid=2<\/a><\/p>\n<h4><a id=\"_69\"><\/a>\u9898\u76ee<\/h4>\n<p>Given two strings a and b we define a * b to be their concatenation. For example, if a = \u201cabc\u201d and b = \u201cdef\u201d then a * b = \u201cabcdef\u201d. If we think of concatenation as multiplication, exponentiation by a non-negative integer is defined in the normal way: a^0 = \u201c\u201d (the empty string) and a^(n+1) = a*(a^n).<\/p>\n<h4><a id=\"_72\"><\/a>\u8f93\u5165<\/h4>\n<p>Each test case is a line of input representing s, a string of printable characters.<\/p>\n<h4><a id=\"_75\"><\/a>\u8f93\u51fa<\/h4>\n<p>For each s you should print the largest n such that s = a^n for some stringa. The length of s will be at least 1 and will not exceed 1 million characters. A line containing a period follows the last test case.<\/p>\n<h4><a id=\"_78\"><\/a>\u6837\u4f8b\u8f93\u5165<\/h4>\n<pre><code>abcd\naaaa\nababab\n<\/code><\/pre>\n<h4><a id=\"_84\"><\/a>\u6837\u4f8b\u8f93\u51fa<\/h4>\n<pre><code>1\n4\n3\n<\/code><\/pre>\n<h4><a id=\"_90\"><\/a>\u89e3\u6790<\/h4>\n<p>KMP\u7b97\u6cd5\u7684\u5e94\u7528<\/p>\n<pre><code class=\"prism language-cpp\"><span class=\"token macro property\">#<span class=\"token directive keyword\">pragma<\/span> GCC optimize(1)<\/span>\n<span class=\"token macro property\">#<span class=\"token directive keyword\">pragma<\/span> GCC optimize(2)<\/span>\n<span class=\"token macro property\">#<span class=\"token directive keyword\">pragma<\/span> GCC optimize(3,\"Ofast\",\"inline\")<\/span>\n<span class=\"token macro property\">#<span class=\"token directive keyword\">include<\/span> <span class=\"token string\"><bits\/stdc++.h><\/span><\/span>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">long<\/span> <span class=\"token keyword\">long<\/span> ll<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">const<\/span> ll mod<span class=\"token operator\">=<\/span><span class=\"token number\">1e9<\/span><span class=\"token operator\">+<\/span><span class=\"token number\">7<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">const<\/span> ll N <span class=\"token operator\">=<\/span> <span class=\"token number\">1005000<\/span><span class=\"token punctuation\">;<\/span>\nll Next<span class=\"token punctuation\">[<\/span>N<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">char<\/span> s<span class=\"token punctuation\">[<\/span>N<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">char<\/span> t<span class=\"token punctuation\">[<\/span>N<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\nll  tlen<span class=\"token punctuation\">,<\/span>len<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">getNext<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">char<\/span> s<span class=\"token punctuation\">[<\/span>N<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\n<span class=\"token punctuation\">{<!-- --><\/span>\n    ll j<span class=\"token operator\">=<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span>k<span class=\"token operator\">=<\/span><span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\n    Next<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>j<span class=\"token operator\"><<\/span>tlen<span class=\"token punctuation\">)<\/span>\n    <span class=\"token punctuation\">{<!-- --><\/span>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>k<span class=\"token operator\">==<\/span><span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token operator\">||<\/span>s<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token operator\">==<\/span>s<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            Next<span class=\"token punctuation\">[<\/span><span class=\"token operator\">++<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token operator\">++<\/span>k<span class=\"token punctuation\">;<\/span>\n        <span class=\"token punctuation\">}<\/span>\n        <span class=\"token keyword\">else<\/span>\n            k<span class=\"token operator\">=<\/span>Next<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token punctuation\">}<\/span>\n<span class=\"token punctuation\">}<\/span>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>\n<span class=\"token punctuation\">{<!-- --><\/span>\n    <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\n    <span class=\"token punctuation\">{<!-- --><\/span>\n        <span class=\"token function\">scanf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"%s\"<\/span><span class=\"token punctuation\">,<\/span>s<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">==<\/span><span class=\"token string\">'.'<\/span><span class=\"token punctuation\">)<\/span>\n        <span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span>\n        tlen<span class=\"token operator\">=<\/span><span class=\"token function\">strlen<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        len<span class=\"token operator\">=<\/span>tlen<span class=\"token punctuation\">;<\/span>\n        <span class=\"token function\">getNext<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        ll kk<span class=\"token operator\">=<\/span>tlen<span class=\"token operator\">-<\/span>Next<span class=\"token punctuation\">[<\/span>tlen<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">strlen<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">)<\/span><span class=\"token operator\">%<\/span>kk<span class=\"token operator\">==<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"%dn\"<\/span><span class=\"token punctuation\">,<\/span><span class=\"token function\">strlen<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span>kk<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token punctuation\">}<\/span>\n        <span class=\"token keyword\">else<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span> \n            <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"1n\"<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/\u5982\u679c\u4e0d\u80fd\u9664\u5c3d\uff0c\u8bf4\u660e\u6709\u540e\u7f00\uff0c\u4f8b\u5982abababa\uff0c\u8fd9\u79cd\u60c5\u51b5\u53ea\u80fd\u4e3a1<\/span>\n        <span class=\"token punctuation\">}<\/span>\n    <span class=\"token punctuation\">}<\/span>\n    <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token punctuation\">}<\/span>\n<\/code><\/pre>\n<p><a href=\"http:\/\/icpc.upc.edu.cn\/problem.php?cid=2510&#038;pid=4\">http:\/\/icpc.upc.edu.cn\/problem.php?cid=2510&#038;pid=4<\/a><\/p>\n<h4><a id=\"_144\"><\/a>\u9898\u76ee<\/h4>\n<p>\u5728CSP\u521d\u8d5b\u540e\uff0cchen03\u7684RP\u5feb\u7528\u5b8c\u4e86\u3002<\/p>\n<p>RP\u662f\u4e2a\u795e\u5947\u7684\u4e1c\u897f\u3002\u5177\u4f53\u6765\u8bf4\uff0cchen03\u7684RP\u503c\u53ef\u4ee5\u7528\u4e8c\u8fdb\u5236\u6b63\u6574\u6570a\u548c\u5341\u8fdb\u5236\u6b63\u6574\u6570n\u8868\u793a\u3002\u4ed6\u7684RP\u503c\u53ef\u4ee5\u8868\u793a\u4e3a<br \/> RP=axor(a<<1)xor(a<<2)xor\u2026xor(a<<(n-1))\u3002<\/p>\n<p>\u5176\u4e2da<<i\u8868\u793a\u5c06a\u5de6\u79fbi\u4f4d\uff0cxor\u8868\u793a\u6309\u4f4d\u5f02\u6216\u8fd0\u7b97\u3002<\/p>\n<p>chen03\u60f3\u77e5\u9053\u4ed6\u7684RP\u503c\u662f\u591a\u5c11\u3002<\/p>\n<p>\u6ce8\uff1a<br \/> 1.\u5c06a\u5de6\u79fbi\u4f4d\uff0c\u5373\u5728a\u540e\u6dfb\u52a0i\u4e2a0\uff0c\u4e5f\u53ef\u4ee5\u770b\u6210a\u00d72i\uff0c\u5728C++\u4e2d\u7684\u8fd0\u7b97\u7b26\u4e3a<<\uff1b<br \/> 2.\u6309\u4f4d\u5f02\u6216\uff1a\u5728\u4e8c\u8fdb\u5236\u4e0b\uff0c\u5bf9\u4e24\u4e2a\u6570\u7684\u6bcf\u4e00\u4f4d\u8fdb\u884c\u5f02\u6216\u8fd0\u7b97\uff0c\u5e76\u628a\u7ed3\u679c\u653e\u5230\u7b54\u6848\u7684\u5f53\u524d\u4f4d\u4e0a\uff0c\u5728C++\u4e2d\u7684\u8fd0\u7b97\u7b26\u4e3a^\u3002\u5f02\u6216\uff0c\u5373\u4e24\u4e2a\u503c\u540c\u4e3a1\u6216\u540c\u4e3a0\u65f6\u7ed3\u679c\u4e3a0\uff0c\u5426\u5219\u4e3a1\u3002<\/p>\n<h3><a id=\"_157\"><\/a>\u8f93\u5165<\/h3>\n<p>\u5171\u4e24\u884c\uff0c\u7b2c\u4e00\u884c\u4e00\u4e2a\u4e8c\u8fdb\u5236\u6b63\u6574\u6570 a\uff08\u4fdd\u8bc1\u4e0d\u542b\u524d\u5bfc 0\uff09\uff0c\u7b2c\u4e8c\u884c\u4e00\u4e2a\u5341\u8fdb\u5236\u6b63\u6574\u6570 n\uff0c\u610f\u4e49\u5982\u9898\u76ee\u63cf\u8ff0\u3002<\/p>\n<h4><a id=\"_159\"><\/a>\u8f93\u51fa<\/h4>\n<p>\u4e00\u884c\u4e00\u4e2a\u4e8c\u8fdb\u5236\u6b63\u6574\u6570\uff0c\u8868\u793a chen03 \u7684 RP \u503c\u3002\u7b54\u6848\u4e0d\u7528\u53d6\u6a21\u3002<\/p>\n<h4><a id=\"_161\"><\/a>\u6837\u4f8b\u8f93\u5165<\/h4>\n<pre><code>100001001\n4\n<\/code><\/pre>\n<h4><a id=\"_166\"><\/a>\u6837\u4f8b\u8f93\u51fa<\/h4>\n<pre><code>111101110111\n<\/code><\/pre>\n<h4><a id=\"_170\"><\/a>\u63d0\u793a<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/imgconvert.csdnimg.cn\/aHR0cDovL2ljcGMudXBjLmVkdS5jbi91cGxvYWQvaW1hZ2UvMjAyMDA1MTUvMjAyMDA1MTUxMTA3NTNfNTkwMTEuanBn?x-oss-process=image\/format,png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"><\/p>\n<h4><a id=\"_172\"><\/a>\u89e3\u6790<\/h4>\n<p>\u9996\u5148\u5148\u7b80\u5355\u4ecb\u7ecd\u4e00\u4e0b\u5f02\u6216(xor)\uff0c\u5f02\u6216\u5171\u5206\u4e3a4\u79cd\u60c5\u51b5<br \/> 0\u5f02\u62161\u7b49\u4e8e1<br \/> 1\u5f02\u62160\u7b49\u4e8e1<br \/> 0\u5f02\u62160\u7b49\u4e8e0<br \/> 1\u5f02\u62161\u7b49\u4e8e0<br \/> \u5f02\u6216\u6700\u540e\u7ed3\u679c\u53ea\u548c1\u7684\u4e2a\u6570\u6709\u5173\uff0c1\u4e3a\u5947\u6570\u4e2a\uff0c\u7ed3\u679c\u5c31\u4e3a1\uff0c1\u4e3a\u5076\u6570\u4e2a\uff0c\u7ed3\u679c\u5c31\u4e3a0\uff0c\u4f8b\u5982\uff1a<br \/> 0 xor 0 xor 0 xor 1 = 1<br \/> 0 xor 0 xor 1 xor 1 = 0<br \/> 0 xor 0 xor 0 xor 1 xor 1 = 0<\/p>\n<p>\u9898\u76ee\u662f\u6307\u5c06\u4e00\u4e2a2\u8fdb\u5236\u6570\u8fdb\u884c\u5411\u5de6\u79fb\u4f4d\u6c42\u5f02\u6216\u7ed3\u679c\uff0c\u4e0b\u56fe\u5c31\u662f\u5bf9\u6837\u4f8b\u7684\u89e3\u91ca\uff0c\u7b2c\u4e00\u4e8c\u4e09\u56db\u884c\u5206\u522b\u8868\u793a\u79fb\u52a8\u4e00\u4f4d\uff0c\u4e24\u4f4d\uff0c\u4e09\u4f4d\u548c\u56db\u4f4d\uff0c\u7136\u540e\u7edf\u8ba1\u6bcf\u4e00\u5217\u4e2d1\u7684\u6570\u76ee\uff0c\u5982\u679c1\u4e3a\u5947\u6570\u4e2a\uff0c\u7ed3\u679c\u5c31\u4e3a1\uff0c\u5426\u5219\u5c31\u4e3a0.\u3002<img decoding=\"async\" src=\"https:\/\/img-blog.csdnimg.cn\/20200731145700600.jpg?x-oss-process=image\/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80NjA0ODg0OA==,size_16,color_FFFFFF,t_70\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"><\/p>\n<p>\u8fd9\u4e2a\u9898\u76ee\u53ef\u4ee5\u5206\u4e3a\u4e24\u79cd\u60c5\u51b5\uff0c\u6837\u4f8b\u662f\u5176\u4e2d\u7684\u4e00\u79cd\u60c5\u51b5\uff0cn\u7684\u6570\u76ee\u5c0f\u4e8e\u5b57\u7b26\u4e32\u7684\u957f\u5ea6\uff0c\u53e6\u4e00\u79cd\u60c5\u51b5\u662f\u5927\u4e8e\uff0c\u5982<br \/> 111<br \/> 5<br \/> \u8fd9\u79cd\u60c5\u51b5\u53ef\u4ee5\u53d1\u73b0\u4e2d\u95f4\u90e8\u5206\u7684\u7ed3\u679c\u5168\u90e8\u76f8\u540c\uff0c\u5373\u5982\u4e0b\u56fe\u6240\u793a\uff1a<br \/> <img decoding=\"async\" src=\"https:\/\/img-blog.csdnimg.cn\/20200731150619262.jpg?x-oss-process=image\/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl80NjA0ODg0OA==,size_16,color_FFFFFF,t_70\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"><br \/> \u7136\u540e\u76f4\u63a5\u6a21\u62df\u8fd9\u4e2a\u8fc7\u7a0b\uff0c\u6c42\u6bcf\u4e00\u5217\u4e2d1\u7684\u4e2a\u6570\u5373\u53ef\u3002<\/p>\n<h4><a id=\"_191\"><\/a>\u4ee3\u7801<\/h4>\n<pre><code class=\"prism language-cpp\"><span class=\"token macro property\">#<span class=\"token directive keyword\">include<\/span> <span class=\"token string\"><bits\/stdc++.h><\/span><\/span>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">long<\/span> <span class=\"token keyword\">long<\/span> ll<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">char<\/span> a<span class=\"token punctuation\">[<\/span><span class=\"token number\">1005000<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token punctuation\">{<!-- --><\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> b<span class=\"token punctuation\">[<\/span><span class=\"token number\">1005000<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token punctuation\">{<!-- --><\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> c<span class=\"token punctuation\">[<\/span><span class=\"token number\">1005000<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token punctuation\">{<!-- --><\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>\n<span class=\"token punctuation\">{<!-- --><\/span>\n    <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">;<\/span>\n    <span class=\"token function\">scanf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"%s\"<\/span><span class=\"token punctuation\">,<\/span><span class=\"token operator\">&<\/span>a<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token function\">scanf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"%d\"<\/span><span class=\"token punctuation\">,<\/span><span class=\"token operator\">&<\/span>n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token keyword\">int<\/span> m<span class=\"token operator\">=<\/span><span class=\"token function\">strlen<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token keyword\">int<\/span> p<span class=\"token operator\">=<\/span>n<span class=\"token operator\">-<\/span>m<span class=\"token punctuation\">;<\/span>\n    queue<span class=\"token operator\"><<\/span><span class=\"token keyword\">char<\/span><span class=\"token operator\">><\/span>w<span class=\"token punctuation\">;<\/span>\n    <span class=\"token keyword\">int<\/span> sum1<span class=\"token operator\">=<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i<span class=\"token operator\">=<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n    <span class=\"token punctuation\">{<!-- --><\/span>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>w<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\"><<\/span>n<span class=\"token punctuation\">)<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            w<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token operator\">==<\/span><span class=\"token string\">'1'<\/span><span class=\"token punctuation\">)<\/span>\n                sum1<span class=\"token operator\">++<\/span><span class=\"token punctuation\">;<\/span>\n            <span class=\"token keyword\">int<\/span> k1<span class=\"token operator\">=<\/span>sum1<span class=\"token operator\">%<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>k1<span class=\"token operator\">==<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\n            <span class=\"token punctuation\">{<!-- --><\/span>\n                <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"1\"<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n            <span class=\"token punctuation\">}<\/span>\n            <span class=\"token keyword\">else<\/span>\n            <span class=\"token punctuation\">{<!-- --><\/span>\n                <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"0\"<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n            <span class=\"token punctuation\">}<\/span>\n        <span class=\"token punctuation\">}<\/span>\n        <span class=\"token keyword\">else<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            <span class=\"token keyword\">int<\/span> p<span class=\"token operator\">=<\/span>w<span class=\"token punctuation\">.<\/span><span class=\"token function\">front<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n            w<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token operator\">==<\/span><span class=\"token string\">'1'<\/span><span class=\"token punctuation\">)<\/span>\n                sum1<span class=\"token operator\">--<\/span><span class=\"token punctuation\">;<\/span>\n            w<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token operator\">==<\/span><span class=\"token string\">'1'<\/span><span class=\"token punctuation\">)<\/span>\n                sum1<span class=\"token operator\">++<\/span><span class=\"token punctuation\">;<\/span>\n            <span class=\"token keyword\">int<\/span> k1<span class=\"token operator\">=<\/span>sum1<span class=\"token operator\">%<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>k1<span class=\"token operator\">==<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\n            <span class=\"token punctuation\">{<!-- --><\/span>\n                <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"1\"<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n            <span class=\"token punctuation\">}<\/span>\n            <span class=\"token keyword\">else<\/span>\n            <span class=\"token punctuation\">{<!-- --><\/span>\n                <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"0\"<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n            <span class=\"token punctuation\">}<\/span>\n        <span class=\"token punctuation\">}<\/span>\n    <span class=\"token punctuation\">}<\/span>\n    <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i<span class=\"token operator\">=<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\"><<\/span>p<span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n    <span class=\"token punctuation\">{<!-- --><\/span>\n        <span class=\"token keyword\">int<\/span> k1<span class=\"token operator\">=<\/span>sum1<span class=\"token operator\">%<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>k1<span class=\"token operator\">==<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"1\"<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token punctuation\">}<\/span>\n        <span class=\"token keyword\">else<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"0\"<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token punctuation\">}<\/span>\n    <span class=\"token punctuation\">}<\/span>\n    <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>w<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">!=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\n    <span class=\"token punctuation\">{<!-- --><\/span>\n        <span class=\"token keyword\">int<\/span> p<span class=\"token operator\">=<\/span>w<span class=\"token punctuation\">.<\/span><span class=\"token function\">front<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        w<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token operator\">==<\/span><span class=\"token string\">'1'<\/span><span class=\"token punctuation\">)<\/span>\n            sum1<span class=\"token operator\">--<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token keyword\">int<\/span> k1<span class=\"token operator\">=<\/span>sum1<span class=\"token operator\">%<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>k1<span class=\"token operator\">==<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"1\"<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token punctuation\">}<\/span>\n        <span class=\"token keyword\">else<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"0\"<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token punctuation\">}<\/span>\n    <span class=\"token punctuation\">}<\/span>\n<span class=\"token punctuation\">}<\/span>\n\n<\/code><\/pre>\n<p><a href=\"http:\/\/icpc.upc.edu.cn\/problem.php?cid=1459&#038;pid=3\">http:\/\/icpc.upc.edu.cn\/problem.php?cid=1459&#038;pid=3<\/a><\/p>\n<h5><a id=\"_278\"><\/a>\u9898\u76ee\u63cf\u8ff0<\/h5>\n<p>The little cat is so famous, that many couples tramp over hill and dale to Byteland, and asked the little cat to give names to their newly-born babies. They seek the name, and at the same time seek the fame. In order to escape from such boring job, the innovative little cat works out an easy but fantastic algorithm:<\/p>\n<p>Step1. Connect the father\u2019s name and the mother\u2019s name, to a new string S.<br \/> Step2. Find a proper prefix-suffix string of S (which is not only the prefix, but also the suffix of S).<\/p>\n<p>Example: Father=\u2018ala\u2019, Mother=\u2018la\u2019, we have S = \u2018ala\u2019+\u2018la\u2019 = \u2018alala\u2019. Potential prefix-suffix strings of S are {\u2018a\u2019, \u2018ala\u2019, \u2018alala\u2019}. Given the string S, could you help the little cat to write a program to calculate the length of possible prefix-suffix strings of S? (He might thank you by giving your baby a name:)<\/p>\n<h5><a id=\"_285\"><\/a>\u8f93\u5165<\/h5>\n<p>The input contains a number of test cases. Each test case occupies a single line that contains the string S described above.<br \/> Restrictions: Only lowercase letters may appear in the input. 1 <= Length of S <= 400000.<\/p>\n<h5><a id=\"_288\"><\/a>\u8f93\u51fa<\/h5>\n<p>For each test case, output a single line with integer numbers in increasing order, denoting the possible length of the new baby\u2019s name.<\/p>\n<h5><a id=\"_290\"><\/a>\u6837\u4f8b\u8f93\u5165<\/h5>\n<pre><code>ababcababababcabab\naaaaa\n<\/code><\/pre>\n<h5><a id=\"_295\"><\/a>\u6837\u4f8b\u8f93\u51fa<\/h5>\n<pre><code>2 4 9 18\n1 2 3 4 5\n<\/code><\/pre>\n<h5><a id=\"_300\"><\/a>\u89e3\u6790<\/h5>\n<p>kmp\u7b97\u6cd5next\u6570\u7ec4\u7684\u5e94\u7528<\/p>\n<pre><code class=\"prism language-cpp\"><span class=\"token macro property\">#<span class=\"token directive keyword\">include<\/span><span class=\"token string\"><bits\/stdc++.h><\/span><\/span>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">char<\/span> a<span class=\"token punctuation\">[<\/span><span class=\"token number\">500500<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token punctuation\">{<!-- --><\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> Next<span class=\"token punctuation\">[<\/span><span class=\"token number\">500500<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token punctuation\">{<!-- --><\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">getNext<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>\n<span class=\"token punctuation\">{<!-- --><\/span>\n    <span class=\"token keyword\">int<\/span> i<span class=\"token operator\">=<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span>j<span class=\"token operator\">=<\/span><span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\n    Next<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\n    <span class=\"token punctuation\">{<!-- --><\/span>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>j<span class=\"token operator\">==<\/span><span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token operator\">||<\/span>a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token operator\">==<\/span>a<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            i<span class=\"token operator\">++<\/span><span class=\"token punctuation\">;<\/span>\n            j<span class=\"token operator\">++<\/span><span class=\"token punctuation\">;<\/span>\n            Next<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span>j<span class=\"token punctuation\">;<\/span>\n        <span class=\"token punctuation\">}<\/span>\n        <span class=\"token keyword\">else<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            j<span class=\"token operator\">=<\/span>Next<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token punctuation\">}<\/span>\n    <span class=\"token punctuation\">}<\/span>\n<span class=\"token punctuation\">}<\/span>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>\n<span class=\"token punctuation\">{<!-- --><\/span>\n    <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">scanf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"%s\"<\/span><span class=\"token punctuation\">,<\/span>a<span class=\"token punctuation\">)<\/span><span class=\"token operator\">!=<\/span><span class=\"token constant\">EOF<\/span><span class=\"token punctuation\">)<\/span>\n    <span class=\"token punctuation\">{<!-- --><\/span>\n        <span class=\"token function\">getNext<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token keyword\">int<\/span> k<span class=\"token operator\">=<\/span><span class=\"token function\">strlen<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        stack<span class=\"token operator\"><<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">><\/span>w<span class=\"token punctuation\">;<\/span>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>k<span class=\"token operator\">>=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            w<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span>k<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n            k<span class=\"token operator\">=<\/span>Next<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token punctuation\">}<\/span>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>w<span class=\"token punctuation\">.<\/span><span class=\"token function\">empty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>w<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">==<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\n                cout<span class=\"token operator\"><<<\/span>w<span class=\"token punctuation\">.<\/span><span class=\"token function\">top<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\"><<<\/span>endl<span class=\"token punctuation\">;<\/span>\n            <span class=\"token keyword\">else<\/span>\n                cout<span class=\"token operator\"><<<\/span>w<span class=\"token punctuation\">.<\/span><span class=\"token function\">top<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\"><<<\/span><span class=\"token string\">' '<\/span><span class=\"token punctuation\">;<\/span>\n            w<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token punctuation\">}<\/span>\n    <span class=\"token punctuation\">}<\/span>\n<span class=\"token punctuation\">}<\/span>\n\n<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>http:\/\/icpc.upc.edu.cn\/pr&hellip;<\/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-47","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\/47","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=47"}],"version-history":[{"count":0,"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/posts\/47\/revisions"}],"wp:attachment":[{"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/media?parent=47"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/categories?post=47"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/tags?post=47"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}