// ~~ icebear ~~
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
typedef pair<int, ii> iii;
template<class T>
bool minimize(T &a, const T &b) {
if (a > b) return a = b, true;
return false;
}
template<class T>
bool maximize(T &a, const T &b) {
if (a < b) return a = b, true;
return false;
}
#define FOR(i,a,b) for(int i=(a); i<=(b); ++i)
#define FORR(i,a,b) for(int i=(a); i>=(b); --i)
#define REP(i, n) for(int i=0; i<(n); ++i)
#define RED(i, n) for(int i=(n)-1; i>=0; --i)
#define MASK(i) (1LL << (i))
#define BIT(S, i) (((S) >> (i)) & 1)
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define task "icebear"
/*END OF TEMPLATE. ICEBEAR AND THE CAT WILL WIN VOI26 */
const int MOD = 1e9 + 7;
const int inf = 1e9 + 27092008;
const ll INF = 1e18 + 27092008;
const int N = 3e5 + 5;
int numWord, numNew, numChar, ans[N];
void add(int &x, int y) {
x += y;
if (x >= MOD) x -= MOD;
if (x < 0) x += MOD;
}
struct Trie {
const static int ALPHABET = 26;
struct Node {
Node *child[ALPHABET];
bool last;
Node() {
REP(i, ALPHABET) child[i] = NULL;
last = false;
}
};
Node *root;
Trie() { root = new Node(); }
void ins(string &s) {
Node *p = root;
for(char &c : s) {
int pos = c - 'a';
if (p -> child[pos] == NULL) p -> child[pos] = new Node();
p = p -> child[pos];
}
p -> last = true;
}
void dfs(Node *p, int len) {
if (p -> last) return;
REP(pos, numChar) {
if (p -> child[pos] == NULL) add(ans[len + 1], +1);
else dfs(p -> child[pos], len + 1);
}
}
} trie;
void init(void) {
cin >> numWord >> numNew >> numChar;
FOR(i, 1, numWord) {
string word;
cin >> word;
trie.ins(word);
}
}
void process(void) {
trie.dfs(trie.root, 0);
vector<int> len(numNew);
for(int &i : len) cin >> i;
sort(all(len));
int j = 1, result = 1;
for(int i : len) {
while(j <= i) {
add(ans[j], 1LL * ans[j - 1] * numChar % MOD);
j++;
}
result = 1LL * result * ans[i] % MOD;
add(ans[i], -1);
}
cout << result;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int tc = 1;
// cin >> tc;
while(tc--) {
init();
process();
}
return 0;
}
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