将所有字符串插入 trie 中
接着对每个字符串执行查询,遍历 $str[1\cdots n-1]$,如果 trie 中表示某个字符的节点 $p$,$vis(p) \neq 0$
那么就互为前缀
#include <iostream>
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <algorithm>
#include <queue>
#include <vector>
#include <stack>
#include <map>
#include <set>
#include <sstream>
#include <iomanip>
#include <cmath>
#include <bitset>
#include <assert.h>
#include <unordered_map>
using namespace std;
typedef long long ll;
#define Cmp(a, b) memcmp(a, b, sizeof(b))
#define Cpy(a, b) memcpy(a, b, sizeof(b))
#define Set(a, v) memset(a, v, sizeof(a))
#define debug(x) cout << #x << ": " << x << endl
#define _forS(i, l, r) for(set<int>::iterator i = (l); i != (r); i++)
#define _rep(i, l, r) for(int i = (l); i <= (r); i++)
#define _for(i, l, r) for(int i = (l); i < (r); i++)
#define _forDown(i, l, r) for(int i = (l); i >= r; i--)
#define debug_(ch, i) printf(#ch"[%d]: %d\n", i, ch[i])
#define debug_m(mp, p) printf(#mp"[%d]: %d\n", p->first, p->second)
#define debugS(str) cout << "dbg: " << str << endl;
#define debugArr(arr, x, y) _for(i, 0, x) { _for(j, 0, y) printf("%c", arr[i][j]); printf("\n"); }
#define _forPlus(i, l, d, r) for(int i = (l); i + d < (r); i++)
#define lowbit(i) (i & (-i))
#define MPR(a, b) make_pair(a, b)
pair<int, int> crack(int n) {
int st = sqrt(n);
int fac = n / st;
while (n % st) {
st += 1;
fac = n / st;
}
return make_pair(st, fac);
}
inline ll qpow(ll a, int n) {
ll ans = 1;
for(; n; n >>= 1) {
if(n & 1) ans *= 1ll * a;
a *= a;
}
return ans;
}
template <class T>
inline bool chmax(T& a, T b) {
if(a < b) {
a = b;
return true;
}
return false;
}
ll gcd(ll a, ll b) {
return b == 0 ? a : gcd(b, a % b);
}
ll ksc(ll a, ll b, ll mod) {
ll ans = 0;
for(; b; b >>= 1) {
if (b & 1) ans = (ans + a) % mod;
a = (a * 2) % mod;
}
return ans;
}
ll ksm(ll a, ll b, ll mod) {
ll ans = 1 % mod;
a %= mod;
for(; b; b >>= 1) {
if (b & 1) ans = ksc(ans, a, mod);
a = ksc(a, a, mod);
}
return ans;
}
template <class T>
inline bool chmin(T& a, T b) {
if(a > b) {
a = b;
return true;
}
return false;
}
template<class T>
bool lexSmaller(vector<T> a, vector<T> b) {
int n = a.size(), m = b.size();
int i;
for(i = 0; i < n && i < m; i++) {
if (a[i] < b[i]) return true;
else if (b[i] < a[i]) return false;
}
return (i == n && i < m);
}
// ============================================================== //
const int maxn = 1500000 + 10;
const int N = 1e5 + 10;
int n;
char str[N][15];
class Trie {
public:
int t[maxn][10];
int vis[maxn];
int tot;
Trie() {
tot = 1;
memset(t, 0, sizeof t);
memset(vis, 0, sizeof vis);
}
void clear() {
tot = 1;
memset(t, 0, sizeof t);
memset(vis, 0, sizeof vis);
}
void insert(const char *str) {
int p = 1, len = strlen(str);
for (int i = 0; i < len; i++) {
int c = str[i]-'0';
if (!t[p][c]) t[p][c] = ++tot;
p = t[p][c];
}
vis[p]++;
}
bool query(const char *str) {
int p = 1, len = strlen(str);
for (int i = 0; i < len-1; i++) {
int c = str[i]-'0';
p = t[p][c];
if (vis[p]) return false;
}
return true;
}
} trie;
int main() {
freopen("input.txt", "r", stdin);
int T;
cin >> T;
while (T--) {
trie.clear();
scanf("%d", &n);
for (int i = 0; i < n; i++) {
scanf("%s", str[i]);
trie.insert(str[i]);
}
bool ok = true;
for (int i = 0; i < n; i++) {
if (trie.query(str[i]) == false) {
ok = false;
break;
}
}
ok == true ? puts("YES") : puts("NO");
}
}