桥本分数,吧{1,2,3,...,9}这9个数字填入图中的9个方格中使得等式成立(要求不得重复),使用回溯求解。
//8_7 #include<iostream> #include<vector> using namespace std; int n = 9; vector<int> result(n), visited(n + 1); void dfs(int i) { if (i == n) { if (result[0] / double(result[1] * 10 + result[2]) + result[3] / double(result[4] * 10 + result[5]) == result[6] / double(result[7] * 10 + result[8])) cout << result[0] << "/" << result[1] << result[2] << " + " << result[3] << "/" << result[4] << result[5] << " = " << result[6] << "/" << result[7] << result[8] << endl; } else for (int j = 1; j <= 9; j++) { if (!visited[j]) { visited[j] = 1; result[i] = j; dfs(i + 1); visited[j] = 0; } } } int main() { dfs(0); return 0; }