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#include <stdio.h> #include <string.h> #include <algorithm> #include <queue> using namespace std;
struct { int next[2010][2],fail[2010]; bool end[2010]; int root,L; int newnode() { for(int i = 0;i < 2;i++) next[L][i] = -1; end[L++] = false; return L-1; } void init() { L = 0; root = newnode(); } void insert(char buf[]) { int len = strlen(buf); int now = root; for(int i = 0;i < len ;i++) { if(next[now][buf[i]-'0'] == -1) next[now][buf[i]-'0'] = newnode(); now = next[now][buf[i]-'0']; } end[now] = true; } void build() { queue<int>Q; fail[root] = root; for(int i = 0;i < 2;i++) if(next[root][i] == -1) next[root][i] = root; else { fail[next[root][i]] = root; Q.push(next[root][i]); } while(!Q.empty()) { int now = Q.front(); Q.pop(); if(end[fail[now]])end[now] = true; for(int i = 0;i < 2;i++) if(next[now][i] == -1) next[now][i] = next[fail[now]][i]; else { fail[next[now][i]] = next[fail[now]][i]; Q.push(next[now][i]); } } } }; Trie ac;
int bcd[2010][10]; int change(int pre,int num) { if(ac.end[pre])return -1; int cur = pre; for(int i = 3;i >= 0;i--) { if(ac.end[ac.next[cur][(num>>i)&1]])return -1; cur = ac.next[cur][(num>>i)&1]; } return cur; } void pre_init() { for(int i = 0;i <ac.L;i++) for(int j = 0;j <10;j++) bcd[i][j] = change(i,j); } const int MOD = 1000000009; long long dp[210][2010]; int bit[210];
long long dfs(int pos,int s,bool flag,bool z) { if(pos == -1)return 1; if(!flag && dp[pos][s]!=-1)return dp[pos][s]; long long ans = 0; if(z) { ans += dfs(pos-1,s,flag && bit[pos]==0,true); ans %= MOD; } else { if(bcd[s][0]!=-1)ans += dfs(pos-1,bcd[s][0],flag && bit[pos]==0,false); ans %= MOD; } int end = flag?bit[pos]:9; for(int i = 1;i<=end;i++) { if(bcd[s][i]!=-1) { ans += dfs(pos-1,bcd[s][i],flag&&i==end,false); ans %=MOD; } } if(!flag && !z)dp[pos][s] = ans; return ans; }
long long calc(char s[]) { int len = strlen(s); for(int i = 0;i < len;i++) bit[i] = s[len-1-i]-'0'; return dfs(len-1,0,1,1); } char str[210]; int main() {
int T; scanf("%d",&T); int n; while(T--) { ac.init(); scanf("%d",&n); for(int i = 0;i < n;i++) { scanf("%s",str); ac.insert(str); } ac.build(); pre_init(); memset(dp,-1,sizeof(dp)); int ans = 0; scanf("%s",str); int len = strlen(str); for(int i = len -1;i >=0;i--) { if(str[i]>'0') { str[i]--; break; } else str[i] = '9'; } ans -= calc(str); ans %=MOD; scanf("%s",str); ans += calc(str); ans %=MOD; if(ans < 0)ans += MOD; printf("%dn",ans); } return 0; }
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