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10 | 10 |
|
11 | 11 | namespace alphametics { |
12 | 12 |
|
13 | | -std::optional<std::map<char,int>> solve(const std::string& puzzle) { |
14 | | - auto sep = puzzle.find("=="); |
15 | | - if (sep == std::string::npos) return std::nullopt; |
16 | | - std::string left = puzzle.substr(0, sep); |
17 | | - std::string right = puzzle.substr(sep + 2); |
| 13 | + std::optional<std::map<char,int>> solve(const std::string& puzzle) { |
| 14 | + auto sep = puzzle.find("=="); |
| 15 | + if (sep == std::string::npos) return std::nullopt; |
| 16 | + std::string left = puzzle.substr(0, sep); |
| 17 | + std::string right = puzzle.substr(sep + 2); |
18 | 18 |
|
19 | | - auto trim = [&](std::string& s) { |
20 | | - auto b = s.find_first_not_of(' '); |
21 | | - auto e = s.find_last_not_of(' '); |
22 | | - s = (b == std::string::npos) ? std::string() : s.substr(b, e - b + 1); |
23 | | - }; |
24 | | - trim(left); trim(right); |
| 19 | + auto trim = [&](std::string& s) { |
| 20 | + auto b = s.find_first_not_of(' '); |
| 21 | + auto e = s.find_last_not_of(' '); |
| 22 | + s = (b == std::string::npos) ? std::string() : s.substr(b, e - b + 1); |
| 23 | + }; |
| 24 | + trim(left); trim(right); |
25 | 25 |
|
26 | | - std::vector<std::string> addends; |
27 | | - std::istringstream iss(left); |
28 | | - for (std::string part; std::getline(iss, part, '+'); ) { |
29 | | - trim(part); |
30 | | - addends.push_back(part); |
31 | | - } |
32 | | - trim(right); |
33 | | - std::string result = right; |
34 | | - |
35 | | - std::vector<char> letters; |
36 | | - std::unordered_set<char> seen, leading; |
37 | | - auto collect = [&](const std::string& w) { |
38 | | - if (w.size() > 1) leading.insert(w.front()); |
39 | | - for (char c : w) { |
40 | | - if (seen.insert(c).second) letters.push_back(c); |
| 26 | + std::vector<std::string> addends; |
| 27 | + std::istringstream iss(left); |
| 28 | + for (std::string part; std::getline(iss, part, '+'); ) { |
| 29 | + trim(part); |
| 30 | + addends.push_back(part); |
41 | 31 | } |
42 | | - }; |
43 | | - for (auto& w : addends) collect(w); |
44 | | - collect(result); |
45 | | - if (letters.size() > 10) return std::nullopt; |
| 32 | + trim(right); |
| 33 | + std::string result = right; |
46 | 34 |
|
47 | | - int n = letters.size(); |
48 | | - std::map<char,int> idx; |
49 | | - for (int i = 0; i < n; ++i) idx[letters[i]] = i; |
50 | | - std::vector<long long> weight(n, 0); |
| 35 | + std::vector<char> letters; |
| 36 | + std::unordered_set<char> seen, leading; |
| 37 | + auto collect = [&](const std::string& w) { |
| 38 | + if (w.size() > 1) leading.insert(w.front()); |
| 39 | + for (char c : w) { |
| 40 | + if (seen.insert(c).second) letters.push_back(c); |
| 41 | + } |
| 42 | + }; |
| 43 | + for (auto& w : addends) collect(w); |
| 44 | + collect(result); |
| 45 | + if (letters.size() > 10) return std::nullopt; |
51 | 46 |
|
52 | | - for (auto& w : addends) { |
53 | | - long long mult = 1; |
54 | | - for (int i = (int)w.size() - 1; i >= 0; --i) { |
55 | | - weight[idx[w[i]]] += mult; |
56 | | - mult *= 10; |
57 | | - } |
58 | | - } |
59 | | - { |
60 | | - long long mult = 1; |
61 | | - for (int i = (int)result.size() - 1; i >= 0; --i) { |
62 | | - weight[idx[result[i]]] -= mult; |
63 | | - mult *= 10; |
64 | | - } |
65 | | - } |
| 47 | + int n = letters.size(); |
| 48 | + std::map<char,int> idx; |
| 49 | + for (int i = 0; i < n; ++i) idx[letters[i]] = i; |
| 50 | + std::vector<long long> weight(n, 0); |
66 | 51 |
|
67 | | - std::vector<bool> used(10, false); |
68 | | - std::map<char,int> assign; |
69 | | - bool found = false; |
70 | | - std::map<char,int> solution; |
71 | | - std::function<void(int,long long)> dfs = [&](int pos, long long sum) { |
72 | | - if (found) return; |
73 | | - if (pos == n) { |
74 | | - if (sum == 0) { found = true; solution = assign; } |
75 | | - return; |
| 52 | + for (auto& w : addends) { |
| 53 | + long long mult = 1; |
| 54 | + for (int i = (int)w.size() - 1; i >= 0; --i) { |
| 55 | + weight[idx[w[i]]] += mult; |
| 56 | + mult *= 10; |
| 57 | + } |
76 | 58 | } |
77 | | - char c = letters[pos]; |
78 | | - for (int d = 0; d < 10 && !found; ++d) { |
79 | | - if (used[d] || (d == 0 && leading.count(c))) continue; |
80 | | - used[d] = true; |
81 | | - assign[c] = d; |
82 | | - dfs(pos + 1, sum + weight[pos] * d); |
83 | | - used[d] = false; |
| 59 | + { |
| 60 | + long long mult = 1; |
| 61 | + for (int i = (int)result.size() - 1; i >= 0; --i) { |
| 62 | + weight[idx[result[i]]] -= mult; |
| 63 | + mult *= 10; |
| 64 | + } |
84 | 65 | } |
85 | | - }; |
86 | 66 |
|
87 | | - dfs(0, 0); |
88 | | - if (found) return solution; |
89 | | - return std::nullopt; |
90 | | -} |
| 67 | + std::vector<bool> used(10, false); |
| 68 | + std::map<char,int> assign; |
| 69 | + bool found = false; |
| 70 | + std::map<char,int> solution; |
| 71 | + std::function<void(int,long long)> dfs = [&](int pos, long long sum) { |
| 72 | + if (found) return; |
| 73 | + if (pos == n) { |
| 74 | + if (sum == 0) { found = true; solution = assign; } |
| 75 | + return; |
| 76 | + } |
| 77 | + char c = letters[pos]; |
| 78 | + for (int d = 0; d < 10 && !found; ++d) { |
| 79 | + if (used[d] || (d == 0 && leading.count(c))) continue; |
| 80 | + used[d] = true; |
| 81 | + assign[c] = d; |
| 82 | + dfs(pos + 1, sum + weight[pos] * d); |
| 83 | + used[d] = false; |
| 84 | + } |
| 85 | + }; |
| 86 | + |
| 87 | + dfs(0, 0); |
| 88 | + if (found) return solution; |
| 89 | + return std::nullopt; |
| 90 | + } |
91 | 91 |
|
92 | 92 | } // namespace alphametics |
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