是男人就过 8 题--Pony.AI 题 - A String Game

是男人就过 8 题--Pony.AI 题 - A String Game

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题目来源

题意：给一个串t以及n个t的子串s，两个人每轮可以选择一个s在他的后边添加一个字符满足得到的新串仍是t的子串，第一个不能操作的人输。

做法：对s串建SAM，在一个子串后边添加字符，等价于在SAM上向后移动一步，预处理每个状态的sg函数，将n个子串的答案异或起来。SAM空间要开两倍（女装警告～～

#include <bits/stdc++.h>
#define pb push_back
#define rep(i,a,b) for(int i=a;i<=b;++i)
const int N = 2e5 + 7;
typedef long long ll;
using namespace std;struct SAM {int n, step[N], fa[N], num[N], last, root, cnt;char s[N];map<char , int> ch[N];void init() {for(int i = 0; i <= cnt; ++i) ch[i].clear();cnt = 0; last = root = ++cnt;}void add(int x) {int tmp = s[x], p = last, np = ++cnt;step[last = np] = x;while(p && !ch[p][tmp]) ch[p][tmp] = np, p =fa[p];if(!p) fa[np] = root;else {int q = ch[p][tmp];if(step[q] == step[p] + 1) fa[np] = q;else {int nq = ++ cnt; step[nq] = step[p] + 1;ch[nq] = ch[q];fa[nq] = fa[q], fa[q] = fa[np] = nq;while(ch[p][tmp] == q) ch[p][tmp] = nq, p = fa[p];}}}int A[N], sg[N], vis[N];void init_sg() {memset(A, 0 , sizeof(A));memset(sg, 0 , sizeof(sg));memset(vis, 0 , sizeof(vis));for(int i = 1; i <= cnt; ++i) ++ A[step[i]];for(int i = 1; i <= n; ++i) A[i] += A[i-1];for(int i = cnt; i; --i) num[A[step[i]]--] = i;for(int i = cnt; i; --i) {for(auto x: ch[num[i]]) {int t = x.second;vis[sg[t]] = num[i];}for(int j = 0; ; ++j) if(vis[j] != num[i]) {sg[num[i]] = j; break;}}}int cal_sg(char str[]) {int len = strlen(str+1), now = root;for(int i = 1; i <= len; ++i) now = ch[now][str[i]];return sg[now];}void run() {init();for(int i = 1; i <= n; ++i) add(i);init_sg();}
} Fe;
char str[N];
int main() {while(scanf(" %s",Fe.s+1) != EOF) {Fe.n = strlen(Fe.s+1);Fe.run(); int n;scanf("%d",&n);int ans = 0;rep(i, 1, n) {scanf(" %s",str+1);ans ^= Fe.cal_sg(str);}puts(ans ? "Alice" : "Bob");}return 0;
}