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| 1 | +// Check if an Original String Exists Given Two Encoded Strings |
| 2 | +const int P = 200003; |
| 3 | +struct HNode {int key; bool val; HNode *next; } pool[P], *head[P], *pit; |
| 4 | + |
| 5 | +class Solution { |
| 6 | + static const int BASE = 999*10; |
| 7 | + string s1, s2; |
| 8 | + unordered_map<unsigned, char> memo; |
| 9 | + bool f(int i, int j, int p) { |
| 10 | + int key = ((p+BASE)*41+i)*41+j, hash = key%P; |
| 11 | + for (HNode *x = head[hash]; x; x = x->next) |
| 12 | + if (x->key == key) |
| 13 | + return x->val; |
| 14 | + if (s1.size() == i && s2.size() == j) return !p; |
| 15 | + bool ret = false; |
| 16 | + |
| 17 | + if (unsigned(s1[i]-'0') < 10) { |
| 18 | + int x = 0; |
| 19 | + do { |
| 20 | + x = x*10+s1[i]-'0'; |
| 21 | + ret = f(++i, j, p+x); |
| 22 | + } while (!ret && unsigned(s1[i]-'0') < 10); |
| 23 | + } else if (unsigned(s2[j]-'0') < 10) { |
| 24 | + int x = 0; |
| 25 | + do { |
| 26 | + x = x*10+s2[j]-'0'; |
| 27 | + ret = f(i, ++j, p-x); |
| 28 | + } while (!ret && unsigned(s2[j]-'0') < 10); |
| 29 | + } else { |
| 30 | + if (p > 0) { |
| 31 | + if (j < s2.size()) |
| 32 | + ret = f(i, j+1, p-1); |
| 33 | + } else if (p < 0) { |
| 34 | + if (i < s1.size()) |
| 35 | + ret = f(i+1, j, p+1); |
| 36 | + } else if (s1[i] == s2[j]) |
| 37 | + ret = f(i+1, j+1, p); |
| 38 | + } |
| 39 | + HNode *x = pit == end(pool) ? new HNode : pit++; |
| 40 | + *x = {key, ret, head[hash]}; |
| 41 | + head[hash] = x; |
| 42 | + return ret; |
| 43 | + } |
| 44 | +public: |
| 45 | + bool possiblyEquals(string s1, string s2) { |
| 46 | + this->s1 = s1; |
| 47 | + this->s2 = s2; |
| 48 | + pit = pool; |
| 49 | + fill_n(head, sizeof(head)/sizeof(*head), nullptr); |
| 50 | + return f(0, 0, 0); |
| 51 | + } |
| 52 | +}; |
| 53 | + |
| 54 | +/// unordered_map (slow) |
| 55 | + |
| 56 | +class Solution { |
| 57 | + static const int BASE = 999*10; |
| 58 | + string s1, s2; |
| 59 | + unordered_map<unsigned, char> memo; |
| 60 | + bool f(int i, int j, int p) { |
| 61 | + char &ret = memo[((p+BASE)*41+i)*41+j]; |
| 62 | + if (ret) return ret-1; |
| 63 | + if (s1.size() == i && s2.size() == j) return !p; |
| 64 | + |
| 65 | + if (unsigned(s1[i]-'0') < 10) { |
| 66 | + int x = 0; |
| 67 | + do { |
| 68 | + x = x*10+s1[i]-'0'; |
| 69 | + ret = f(++i, j, p+x); |
| 70 | + } while (!ret && unsigned(s1[i]-'0') < 10); |
| 71 | + } else if (unsigned(s2[j]-'0') < 10) { |
| 72 | + int x = 0; |
| 73 | + do { |
| 74 | + x = x*10+s2[j]-'0'; |
| 75 | + ret = f(i, ++j, p-x); |
| 76 | + } while (!ret && unsigned(s2[j]-'0') < 10); |
| 77 | + } else { |
| 78 | + if (p > 0) { |
| 79 | + if (j < s2.size()) |
| 80 | + ret = f(i, j+1, p-1); |
| 81 | + } else if (p < 0) { |
| 82 | + if (i < s1.size()) |
| 83 | + ret = f(i+1, j, p+1); |
| 84 | + } else if (s1[i] == s2[j]) |
| 85 | + ret = f(i+1, j+1, p); |
| 86 | + } |
| 87 | + return ret++; |
| 88 | + } |
| 89 | +public: |
| 90 | + bool possiblyEquals(string s1, string s2) { |
| 91 | + this->s1 = s1; |
| 92 | + this->s2 = s2; |
| 93 | + return f(0, 0, 0); |
| 94 | + } |
| 95 | +}; |
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