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| 1 | +// Time: O(m * n) |
| 2 | +// Space: O(m) |
| 3 | + |
| 4 | +class Solution { |
| 5 | +public: |
| 6 | + int findGoodStrings(int n, string s1, string s2, string evil) { |
| 7 | + const auto& prefix = getPrefix(evil); |
| 8 | + vector<vector<vector<vector<int>>>> dp( |
| 9 | + 2, vector<vector<vector<int>>>( |
| 10 | + 2, vector<vector<int>>( |
| 11 | + 2, vector<int>(evil.length())))); |
| 12 | + dp[0][0][0][0] = 1; |
| 13 | + for (int i = 0; i < n; ++i) { |
| 14 | + dp[(i + 1) % 2] = vector<vector<vector<int>>>( |
| 15 | + 2, vector<vector<int>>( |
| 16 | + 2, vector<int>(evil.length()))); |
| 17 | + for (int j = 0; j < 2; ++j) { |
| 18 | + for (int k = 0; k < 2; ++k) { |
| 19 | + const auto min_c = j ? 'a' : s1[i]; |
| 20 | + const auto max_c = k ? 'z' : s2[i]; |
| 21 | + for (int l = 0; l < evil.length(); ++l) { |
| 22 | + if (!dp[i % 2][j][k][l]) { |
| 23 | + continue; |
| 24 | + } |
| 25 | + for (char c = min_c; c <= max_c; ++c) { |
| 26 | + int m = l - 1; |
| 27 | + while (m != -1 && evil[m + 1] != c) { |
| 28 | + m = prefix[m]; |
| 29 | + } |
| 30 | + if (evil[m + 1] == c) { |
| 31 | + ++m; |
| 32 | + } |
| 33 | + if (m + 1 == evil.length()) { |
| 34 | + continue; |
| 35 | + } |
| 36 | + add(&dp[(i + 1) % 2][j || c != s1[i]][k || c != s2[i]][m + 1], dp[i % 2][j][k][l]); |
| 37 | + } |
| 38 | + } |
| 39 | + } |
| 40 | + } |
| 41 | + } |
| 42 | + int result = 0; |
| 43 | + for (int j = 0; j < 2; ++j) { |
| 44 | + for (int k = 0; k < 2; ++k) { |
| 45 | + for (int l = 0; l < evil.length(); ++l) { |
| 46 | + add(&result, dp[n % 2][j][k][l]); |
| 47 | + } |
| 48 | + } |
| 49 | + } |
| 50 | + return result; |
| 51 | + } |
| 52 | + |
| 53 | +private: |
| 54 | + vector<int> getPrefix(const string& pattern) { |
| 55 | + vector<int> prefix(pattern.length(), -1); |
| 56 | + int j = -1; |
| 57 | + for (int i = 1; i < pattern.length(); ++i) { |
| 58 | + while (j != -1 && pattern[j + 1] != pattern[i]) { |
| 59 | + j = prefix[j]; |
| 60 | + } |
| 61 | + if (pattern[j + 1] == pattern[i]) { |
| 62 | + ++j; |
| 63 | + } |
| 64 | + prefix[i] = j; |
| 65 | + } |
| 66 | + return prefix; |
| 67 | + } |
| 68 | + |
| 69 | + void add(int *x, int y) { |
| 70 | + static const int MOD = 1e9 + 7; |
| 71 | + *x = (*x + y) % MOD; |
| 72 | + } |
| 73 | +}; |
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