題目大意:給出一個環形的字符串,問從哪裡開始是的這個字符串的字典序最小。
思路:最小表示法和後綴自動機的裸題,不過我是為了學後綴自動機才寫的這個題,就沒有去學最小表示法。
做法很簡單,先建立一個後綴自動機,然後從根開始沿tranc指針從a->z走len次到達的點就是字典序最小的字符串的結尾點,求起始點只要減一下長度再+1即可。
對於後綴自動機的理解:www.2cto.com
CODE:
#include#include #include #include #define MAX 10010 using namespace std; struct Complex{ Complex *tranc[26],*father; short len; }mempool[MAX << 2],*C = mempool,none,*nil = &none,*root,*last; Complex *NewComplex(int _) { C->len = _; fill(C->tranc,C->tranc + 26,nil); C->father = nil; return C++; } int T; char s[MAX]; inline void Initialize() { C = mempool; root = last = NewComplex(0); } inline void Add(int c) { Complex *np = NewComplex(last->len + 1),*p = last; for(; p != nil && p->tranc[c] == nil; p = p->father) p->tranc[c] = np; if(p == nil) np->father = root; else { Complex *q = p->tranc[c]; if(q->len == p->len + 1) np->father = q; else { Complex *nq = NewComplex(p->len + 1); nq->father = q->father; q->father = np->father = nq; memcpy(nq->tranc,q->tranc,sizeof(q->tranc)); for(; p != nil && p->tranc[c] == q; p = p->father) p->tranc[c] = nq; } } last = np; } int main() { for(cin >> T; T--;) { Initialize(); scanf(%s,s); int length = strlen(s); for(int i = 0; i < length; ++i) Add(s[i] - 'a'); for(int i = 0; i < length; ++i) Add(s[i] - 'a'); Complex *now = root; for(int i = 0; i < length; ++i) for(int j = 0; j < 26; ++j) if(now->tranc[j] != nil) { now = now->tranc[j]; break; } printf(%d ,now->len - length + 1); } }