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  1. // ~~ icebear ~~
  2. #include <bits/stdc++.h>
  3. using namespace std;
  4.  
  5. typedef long long ll;
  6. typedef pair<int, int> ii;
  7. typedef pair<int, ii> iii;
  8.  
  9. template<class T>
  10. bool minimize(T &a, const T &b) {
  11. if (a > b) return a = b, true;
  12. return false;
  13. }
  14.  
  15. template<class T>
  16. bool maximize(T &a, const T &b) {
  17. if (a < b) return a = b, true;
  18. return false;
  19. }
  20.  
  21. #define FOR(i,a,b) for(int i=(a); i<=(b); ++i)
  22. #define FORR(i,a,b) for(int i=(a); i>=(b); --i)
  23. #define REP(i, n) for(int i=0; i<(n); ++i)
  24. #define RED(i, n) for(int i=(n)-1; i>=0; --i)
  25. #define MASK(i) (1LL << (i))
  26. #define BIT(S, i) (((S) >> (i)) & 1)
  27. #define mp make_pair
  28. #define pb push_back
  29. #define fi first
  30. #define se second
  31. #define all(x) x.begin(), x.end()
  32. #define task "icebear"
  33. /*END OF TEMPLATE. ICEBEAR AND THE CAT WILL WIN VOI26 */
  34.  
  35. const int MOD = 1e9 + 7;
  36. const int inf = 1e9 + 27092008;
  37. const ll INF = 1e18 + 27092008;
  38. const int N = 3e5 + 5;
  39. int numWord, numNew, numChar, ans[N];
  40.  
  41. void add(int &x, int y) {
  42. x += y;
  43. if (x >= MOD) x -= MOD;
  44. if (x < 0) x += MOD;
  45. }
  46.  
  47. struct Trie {
  48. const static int ALPHABET = 26;
  49. struct Node {
  50. Node *child[ALPHABET];
  51. bool last;
  52. Node() {
  53. REP(i, ALPHABET) child[i] = NULL;
  54. last = false;
  55. }
  56. };
  57.  
  58. Node *root;
  59. Trie() { root = new Node(); }
  60.  
  61. void ins(string &s) {
  62. Node *p = root;
  63. for(char &c : s) {
  64. int pos = c - 'a';
  65. if (p -> child[pos] == NULL) p -> child[pos] = new Node();
  66. p = p -> child[pos];
  67. }
  68. p -> last = true;
  69. }
  70.  
  71. void dfs(Node *p, int len) {
  72. if (p -> last) return;
  73. REP(pos, numChar) {
  74. if (p -> child[pos] == NULL) add(ans[len + 1], +1);
  75. else dfs(p -> child[pos], len + 1);
  76. }
  77. }
  78. } trie;
  79.  
  80. void init(void) {
  81. cin >> numWord >> numNew >> numChar;
  82. FOR(i, 1, numWord) {
  83. string word;
  84. cin >> word;
  85. trie.ins(word);
  86. }
  87. }
  88.  
  89. void process(void) {
  90. trie.dfs(trie.root, 0);
  91. vector<int> len(numNew);
  92. for(int &i : len) cin >> i;
  93. sort(all(len));
  94. int j = 1, result = 1;
  95.  
  96. for(int i : len) {
  97. while(j <= i) {
  98. add(ans[j], 1LL * ans[j - 1] * numChar % MOD);
  99. j++;
  100. }
  101.  
  102. result = 1LL * result * ans[i] % MOD;
  103. add(ans[i], -1);
  104. }
  105. cout << result;
  106. }
  107.  
  108. int main() {
  109. ios_base::sync_with_stdio(0);
  110. cin.tie(0); cout.tie(0);
  111. if (fopen(task".inp", "r")) {
  112. freopen(task".inp", "r", stdin);
  113. freopen(task".out", "w", stdout);
  114. }
  115. int tc = 1;
  116. // cin >> tc;
  117. while(tc--) {
  118. init();
  119. process();
  120. }
  121. return 0;
  122. }
  123.  
Success #stdin #stdout 0.01s 5328KB
stdin
Standard input is empty
stdout
1