diff --git a/README.md b/README.md index 6c6be43..1ecd304 100644 --- a/README.md +++ b/README.md @@ -6,7 +6,7 @@ 今天看到一道24点类型的问题，题目来自[b站动态](https://b23.tv/kEQpICc)。因为原题题意不清晰，所以我在此描述得更清晰一些： -对于`0 0 0`到`10 10 10`这11组数，请填入运算符凑出6。允许使用的二元运算符包括`** * / % + - << >> & | ^`，允许使用的一元运算符包括`sqrt, fac`（根号、阶乘），允许使用括号。每一次的二元运算结果都可以使用至多一次一元运算符，比如`((0! + 0!)! + 0!)! = 6`是合法的。其中除法需要除得尽才合法。 +对于`0 0 0`到`10 10 10`这11组数，请填入运算符凑出6。允许使用的二元运算符包括`** * / % + - << >> & | ^`，允许使用的一元运算符包括`!, sqrt, fac`（根号、阶乘），允许使用括号。每一次的二元运算结果都可以使用至多一次一元运算符，比如`((0! + 0!)! + 0!)! = 6`是合法的。其中除法需要除得尽才合法。 [本文GitHub传送门](https://github.com/Hans774882968/apple-interview-24point-similar) @@ -133,7 +133,7 @@ int main (int argc, char **argv) { 接下来考虑一元运算符怎么实现。 -1. 对于叶子，我们在dfs外部枚举3进制位，约定0表示不变，1表示变为阶乘，2表示变为根号。如果要支持其他一元运算符，比如`- ~`，就相应改成枚举4、5进制位即可。 +1. 对于叶子，我们在dfs外部枚举4进制位，约定0表示不变，1表示变为阶乘，2表示变为根号，3表示取反。如果要支持其他一元运算符，比如`- ~`，就相应改成枚举5、6进制位即可。 2. 对于非叶子，在dfs内部进行变换即可。 现在我们已经理解了算法，接下来只需要讲下实现上的细节： @@ -144,7 +144,10 @@ int main (int argc, char **argv) { 下面我给出两版代码，`v2`相比于`v1`只多了上述一元运算符实现点的“2”，但代码量却达到了两倍。 -执行结果：`8 8 8`没有找到答案，其他的都找到了不少答案。不过如果允许构造一个集合的话，就有一个比较离谱的答案：`|{ 8, 8, 8 }|! = 6`。 +执行结果： + +1. `v1`执行时间可以接受，`v2`执行时间以分钟计。 +2. `8 8 8`没有找到答案，其他的都找到了不少答案。不过如果允许构造一个集合的话，就有一个比较离谱的答案：`|{ 8, 8, 8 }|! = 6`。 `v1` @@ -156,7 +159,7 @@ using LL = int64_t; const int N = 3, M = 11; bool vis[N]; -int p3[N + 1]; +int p4[N + 1]; LL fac[M], a[N]; string ans[N]; set ansSet; @@ -286,22 +289,26 @@ int main(int, char **) { file.open("apple_interview_24point_similar-v1.txt", ios::out); streambuf *stream_buffer_out = cout.rdbuf(); cout.rdbuf(file.rdbuf()); - for (int i = 0; i <= N; i++) p3[i] = i ? p3[i - 1] * 3 : 1; + for (int i = 0; i <= N; i++) p4[i] = i ? p4[i - 1] * 4 : 1; for (int i = 0; i < M; i++) fac[i] = i ? fac[i - 1] * i : 1; + vector ansSetSizes; for (int i = 0; i < M; i++) { ansSet.clear(); bool hasAns = false; - for (int S = 0; S < p3[N]; S++) { + for (int S = 0; S < p4[N]; S++) { for (int j = 0; j < N; j++) { int v = 0; string strV; - int sVal = S / p3[j] % 3; + int sVal = S / p4[j] % 4; if (sVal == 1 && isPerfectSquare(i)) { v = sqrt(i); strV = "sqrt(" + to_string(i) + ")"; } else if (sVal == 2) { v = fac[i]; strV = "fac(" + to_string(i) + ")"; + } else if (sVal == 3) { + v = !i; + strV = "!" + to_string(i); } else { v = i; strV = to_string(i); @@ -311,6 +318,7 @@ int main(int, char **) { } hasAns |= dfs(0); } + ansSetSizes.push_back(ansSet.size()); cout << i << " " << hasAns << endl; cout << "ansSet.size() = " << ansSet.size() << endl; string jsCode = @@ -321,6 +329,10 @@ int main(int, char **) { jsCode += "].every((v) => v === 6);"; cout << jsCode << endl; } + cout << "ansSetSizes = ["; + ostream_iterator out_iter(cout, ", "); + copy(ansSetSizes.cbegin(), ansSetSizes.cend(), out_iter); + cout << "]" << endl; cout.rdbuf(stream_buffer_out); file.close(); return 0; diff --git a/apple_interview_24point_similar-v1.cpp b/apple_interview_24point_similar-v1.cpp index a93e81c..ed0e620 100644 --- a/apple_interview_24point_similar-v1.cpp +++ b/apple_interview_24point_similar-v1.cpp @@ -5,7 +5,7 @@ using LL = int64_t; const int N = 3, M = 11; bool vis[N]; -int p3[N + 1]; +int p4[N + 1]; LL fac[M], a[N]; string ans[N]; set ansSet; @@ -135,22 +135,26 @@ int main(int, char **) { file.open("apple_interview_24point_similar-v1.txt", ios::out); streambuf *stream_buffer_out = cout.rdbuf(); cout.rdbuf(file.rdbuf()); - for (int i = 0; i <= N; i++) p3[i] = i ? p3[i - 1] * 3 : 1; + for (int i = 0; i <= N; i++) p4[i] = i ? p4[i - 1] * 4 : 1; for (int i = 0; i < M; i++) fac[i] = i ? fac[i - 1] * i : 1; + vector ansSetSizes; for (int i = 0; i < M; i++) { ansSet.clear(); bool hasAns = false; - for (int S = 0; S < p3[N]; S++) { + for (int S = 0; S < p4[N]; S++) { for (int j = 0; j < N; j++) { int v = 0; string strV; - int sVal = S / p3[j] % 3; + int sVal = S / p4[j] % 4; if (sVal == 1 && isPerfectSquare(i)) { v = sqrt(i); strV = "sqrt(" + to_string(i) + ")"; } else if (sVal == 2) { v = fac[i]; strV = "fac(" + to_string(i) + ")"; + } else if (sVal == 3) { + v = !i; + strV = "!" + to_string(i); } else { v = i; strV = to_string(i); @@ -160,6 +164,7 @@ int main(int, char **) { } hasAns |= dfs(0); } + ansSetSizes.push_back(ansSet.size()); cout << i << " " << hasAns << endl; cout << "ansSet.size() = " << ansSet.size() << endl; string jsCode = @@ -170,6 +175,10 @@ int main(int, char **) { jsCode += "].every((v) => v === 6);"; cout << jsCode << endl; } + cout << "ansSetSizes = ["; + ostream_iterator out_iter(cout, ", "); + copy(ansSetSizes.cbegin(), ansSetSizes.cend(), out_iter); + cout << "]" << endl; cout.rdbuf(stream_buffer_out); file.close(); return 0; diff --git a/apple_interview_24point_similar-v1.txt b/apple_interview_24point_similar-v1.txt index aab8d02..35d4a47 100644 --- a/apple_interview_24point_similar-v1.txt +++ b/apple_interview_24point_similar-v1.txt @@ -11,34 +11,35 @@ ansSet.size() = 152 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; [((2) * (2)) + (2), ((2) * (2)) + (fac(2)), ((2) * (2)) ^ (2), ((2) * (2)) ^ (fac(2)), ((2) * (2)) | (2), ((2) * (2)) | (fac(2)), ((2) * (fac(2))) + (2), ((2) * (fac(2))) + (fac(2)), ((2) * (fac(2))) ^ (2), ((2) * (fac(2))) ^ (fac(2)), ((2) * (fac(2))) | (2), ((2) * (fac(2))) | (fac(2)), ((2) ** (2)) + (2), ((2) ** (2)) + (fac(2)), ((2) ** (2)) ^ (2), ((2) ** (2)) ^ (fac(2)), ((2) ** (2)) | (2), ((2) ** (2)) | (fac(2)), ((2) ** (fac(2))) + (2), ((2) ** (fac(2))) + (fac(2)), ((2) ** (fac(2))) ^ (2), ((2) ** (fac(2))) ^ (fac(2)), ((2) ** (fac(2))) | (2), ((2) ** (fac(2))) | (fac(2)), ((2) + (2)) + (2), ((2) + (2)) + (fac(2)), ((2) + (2)) ^ (2), ((2) + (2)) ^ (fac(2)), ((2) + (2)) | (2), ((2) + (2)) | (fac(2)), ((2) + (fac(2))) + (2), ((2) + (fac(2))) + (fac(2)), ((2) + (fac(2))) ^ (2), ((2) + (fac(2))) ^ (fac(2)), ((2) + (fac(2))) | (2), ((2) + (fac(2))) | (fac(2)), ((2) << (2)) - (2), ((2) << (2)) - (fac(2)), ((2) << (fac(2))) - (2), ((2) << (fac(2))) - (fac(2)), ((fac(2)) * (2)) + (2), ((fac(2)) * (2)) + (fac(2)), ((fac(2)) * (2)) ^ (2), ((fac(2)) * (2)) ^ (fac(2)), ((fac(2)) * (2)) | (2), ((fac(2)) * (2)) | (fac(2)), ((fac(2)) * (fac(2))) + (2), ((fac(2)) * (fac(2))) + (fac(2)), ((fac(2)) * (fac(2))) ^ (2), ((fac(2)) * (fac(2))) ^ (fac(2)), ((fac(2)) * (fac(2))) | (2), ((fac(2)) * (fac(2))) | (fac(2)), ((fac(2)) ** (2)) + (2), ((fac(2)) ** (2)) + (fac(2)), ((fac(2)) ** (2)) ^ (2), ((fac(2)) ** (2)) ^ (fac(2)), ((fac(2)) ** (2)) | (2), ((fac(2)) ** (2)) | (fac(2)), ((fac(2)) ** (fac(2))) + (2), ((fac(2)) ** (fac(2))) + (fac(2)), ((fac(2)) ** (fac(2))) ^ (2), ((fac(2)) ** (fac(2))) ^ (fac(2)), ((fac(2)) ** (fac(2))) | (2), ((fac(2)) ** (fac(2))) | (fac(2)), ((fac(2)) + (2)) + (2), ((fac(2)) + (2)) + (fac(2)), ((fac(2)) + (2)) ^ (2), ((fac(2)) + (2)) ^ (fac(2)), ((fac(2)) + (2)) | (2), ((fac(2)) + (2)) | (fac(2)), ((fac(2)) + (fac(2))) + (2), ((fac(2)) + (fac(2))) + (fac(2)), ((fac(2)) + (fac(2))) ^ (2), ((fac(2)) + (fac(2))) ^ (fac(2)), ((fac(2)) + (fac(2))) | (2), ((fac(2)) + (fac(2))) | (fac(2)), ((fac(2)) << (2)) - (2), ((fac(2)) << (2)) - (fac(2)), ((fac(2)) << (fac(2))) - (2), ((fac(2)) << (fac(2))) - (fac(2)), (2) + ((2) * (2)), (2) + ((2) * (fac(2))), (2) + ((2) ** (2)), (2) + ((2) ** (fac(2))), (2) + ((2) + (2)), (2) + ((2) + (fac(2))), (2) + ((fac(2)) * (2)), (2) + ((fac(2)) * (fac(2))), (2) + ((fac(2)) ** (2)), (2) + ((fac(2)) ** (fac(2))), (2) + ((fac(2)) + (2)), (2) + ((fac(2)) + (fac(2))), (2) ^ ((2) * (2)), (2) ^ ((2) * (fac(2))), (2) ^ ((2) ** (2)), (2) ^ ((2) ** (fac(2))), (2) ^ ((2) + (2)), (2) ^ ((2) + (fac(2))), (2) ^ ((fac(2)) * (2)), (2) ^ ((fac(2)) * (fac(2))), (2) ^ ((fac(2)) ** (2)), (2) ^ ((fac(2)) ** (fac(2))), (2) ^ ((fac(2)) + (2)), (2) ^ ((fac(2)) + (fac(2))), (2) | ((2) * (2)), (2) | ((2) * (fac(2))), (2) | ((2) ** (2)), (2) | ((2) ** (fac(2))), (2) | ((2) + (2)), (2) | ((2) + (fac(2))), (2) | ((fac(2)) * (2)), (2) | ((fac(2)) * (fac(2))), (2) | ((fac(2)) ** (2)), (2) | ((fac(2)) ** (fac(2))), (2) | ((fac(2)) + (2)), (2) | ((fac(2)) + (fac(2))), (fac(2)) + ((2) * (2)), (fac(2)) + ((2) * (fac(2))), (fac(2)) + ((2) ** (2)), (fac(2)) + ((2) ** (fac(2))), (fac(2)) + ((2) + (2)), (fac(2)) + ((2) + (fac(2))), (fac(2)) + ((fac(2)) * (2)), (fac(2)) + ((fac(2)) * (fac(2))), (fac(2)) + ((fac(2)) ** (2)), (fac(2)) + ((fac(2)) ** (fac(2))), (fac(2)) + ((fac(2)) + (2)), (fac(2)) + ((fac(2)) + (fac(2))), (fac(2)) ^ ((2) * (2)), (fac(2)) ^ ((2) * (fac(2))), (fac(2)) ^ ((2) ** (2)), (fac(2)) ^ ((2) ** (fac(2))), (fac(2)) ^ ((2) + (2)), (fac(2)) ^ ((2) + (fac(2))), (fac(2)) ^ ((fac(2)) * (2)), (fac(2)) ^ ((fac(2)) * (fac(2))), (fac(2)) ^ ((fac(2)) ** (2)), (fac(2)) ^ ((fac(2)) ** (fac(2))), (fac(2)) ^ ((fac(2)) + (2)), (fac(2)) ^ ((fac(2)) + (fac(2))), (fac(2)) | ((2) * (2)), (fac(2)) | ((2) * (fac(2))), (fac(2)) | ((2) ** (2)), (fac(2)) | ((2) ** (fac(2))), (fac(2)) | ((2) + (2)), (fac(2)) | ((2) + (fac(2))), (fac(2)) | ((fac(2)) * (2)), (fac(2)) | ((fac(2)) * (fac(2))), (fac(2)) | ((fac(2)) ** (2)), (fac(2)) | ((fac(2)) ** (fac(2))), (fac(2)) | ((fac(2)) + (2)), (fac(2)) | ((fac(2)) + (fac(2))), ].every((v) => v === 6); 3 1 -ansSet.size() = 182 +ansSet.size() = 595 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; -[((3) % (3)) + (fac(3)), ((3) % (3)) ^ (fac(3)), ((3) % (3)) | (fac(3)), ((3) % (fac(3))) + (3), ((3) & (3)) + (3), ((3) & (fac(3))) * (3), ((3) & (fac(3))) | (fac(3)), ((3) * (3)) - (3), ((3) * (fac(3))) / (3), ((3) + (3)) & (fac(3)), ((3) + (3)) | (fac(3)), ((3) + (fac(3))) - (3), ((3) - (3)) + (fac(3)), ((3) - (3)) ^ (fac(3)), ((3) - (3)) | (fac(3)), ((3) / (3)) * (fac(3)), ((3) >> (3)) + (fac(3)), ((3) >> (3)) ^ (fac(3)), ((3) >> (3)) | (fac(3)), ((3) >> (fac(3))) + (fac(3)), ((3) >> (fac(3))) ^ (fac(3)), ((3) >> (fac(3))) | (fac(3)), ((3) ^ (3)) + (fac(3)), ((3) ^ (3)) ^ (fac(3)), ((3) ^ (3)) | (fac(3)), ((3) ^ (fac(3))) ^ (3), ((3) | (3)) + (3), ((3) | (fac(3))) & (fac(3)), ((fac(3)) % (3)) + (fac(3)), ((fac(3)) % (3)) ^ (fac(3)), ((fac(3)) % (3)) | (fac(3)), ((fac(3)) % (fac(3))) + (fac(3)), ((fac(3)) % (fac(3))) ^ (fac(3)), ((fac(3)) % (fac(3))) | (fac(3)), ((fac(3)) & (3)) * (3), ((fac(3)) & (3)) | (fac(3)), ((fac(3)) & (fac(3))) & (fac(3)), ((fac(3)) & (fac(3))) | (fac(3)), ((fac(3)) * (3)) / (3), ((fac(3)) * (fac(3))) / (fac(3)), ((fac(3)) + (3)) - (3), ((fac(3)) + (fac(3))) - (fac(3)), ((fac(3)) - (3)) + (3), ((fac(3)) - (fac(3))) + (fac(3)), ((fac(3)) - (fac(3))) ^ (fac(3)), ((fac(3)) - (fac(3))) | (fac(3)), ((fac(3)) / (3)) * (3), ((fac(3)) / (3)) | (fac(3)), ((fac(3)) / (fac(3))) * (fac(3)), ((fac(3)) << (3)) >> (3), ((fac(3)) << (fac(3))) >> (fac(3)), ((fac(3)) >> (3)) + (fac(3)), ((fac(3)) >> (3)) ^ (fac(3)), ((fac(3)) >> (3)) | (fac(3)), ((fac(3)) >> (fac(3))) + (fac(3)), ((fac(3)) >> (fac(3))) ^ (fac(3)), ((fac(3)) >> (fac(3))) | (fac(3)), ((fac(3)) ^ (3)) ^ (3), ((fac(3)) ^ (fac(3))) + (fac(3)), ((fac(3)) ^ (fac(3))) ^ (fac(3)), ((fac(3)) ^ (fac(3))) | (fac(3)), ((fac(3)) | (3)) & (fac(3)), ((fac(3)) | (fac(3))) & (fac(3)), ((fac(3)) | (fac(3))) | (fac(3)), (3) * ((3) & (fac(3))), (3) * ((fac(3)) & (3)), (3) * ((fac(3)) / (3)), (3) + ((3) % (fac(3))), (3) + ((3) & (3)), (3) + ((3) | (3)), (3) + ((fac(3)) - (3)), (3) - ((3) - (fac(3))), (3) << ((3) / (3)), (3) << ((fac(3)) / (fac(3))), (3) ^ ((3) ^ (fac(3))), (3) ^ ((fac(3)) ^ (3)), (fac(3)) % ((3) * (3)), (fac(3)) % ((3) * (fac(3))), (fac(3)) % ((3) ** (3)), (fac(3)) % ((3) ** (fac(3))), (fac(3)) % ((3) + (fac(3))), (fac(3)) % ((3) << (3)), (fac(3)) % ((3) << (fac(3))), (fac(3)) % ((3) | (fac(3))), (fac(3)) % ((fac(3)) * (3)), (fac(3)) % ((fac(3)) * (fac(3))), (fac(3)) % ((fac(3)) ** (3)), (fac(3)) % ((fac(3)) ** (fac(3))), (fac(3)) % ((fac(3)) + (3)), (fac(3)) % ((fac(3)) + (fac(3))), (fac(3)) % ((fac(3)) << (3)), (fac(3)) % ((fac(3)) << (fac(3))), (fac(3)) % ((fac(3)) | (3)), (fac(3)) & ((3) + (3)), (fac(3)) & ((3) | (fac(3))), (fac(3)) & ((fac(3)) & (fac(3))), (fac(3)) & ((fac(3)) | (3)), (fac(3)) & ((fac(3)) | (fac(3))), (fac(3)) * ((3) / (3)), (fac(3)) * ((fac(3)) / (fac(3))), (fac(3)) ** ((3) / (3)), (fac(3)) ** ((fac(3)) / (fac(3))), (fac(3)) + ((3) % (3)), (fac(3)) + ((3) - (3)), (fac(3)) + ((3) >> (3)), (fac(3)) + ((3) >> (fac(3))), (fac(3)) + ((3) ^ (3)), (fac(3)) + ((fac(3)) % (3)), (fac(3)) + ((fac(3)) % (fac(3))), (fac(3)) + ((fac(3)) - (fac(3))), (fac(3)) + ((fac(3)) >> (3)), (fac(3)) + ((fac(3)) >> (fac(3))), (fac(3)) + ((fac(3)) ^ (fac(3))), (fac(3)) - ((3) % (3)), (fac(3)) - ((3) - (3)), (fac(3)) - ((3) >> (3)), (fac(3)) - ((3) >> (fac(3))), (fac(3)) - ((3) ^ (3)), (fac(3)) - ((fac(3)) % (3)), (fac(3)) - ((fac(3)) % (fac(3))), (fac(3)) - ((fac(3)) - (fac(3))), (fac(3)) - ((fac(3)) >> (3)), (fac(3)) - ((fac(3)) >> (fac(3))), (fac(3)) - ((fac(3)) ^ (fac(3))), (fac(3)) / ((3) / (3)), (fac(3)) / ((fac(3)) / (fac(3))), (fac(3)) << ((3) % (3)), (fac(3)) << ((3) - (3)), (fac(3)) << ((3) << (fac(3))), (fac(3)) << ((3) >> (3)), (fac(3)) << ((3) >> (fac(3))), (fac(3)) << ((3) ^ (3)), (fac(3)) << ((fac(3)) % (3)), (fac(3)) << ((fac(3)) % (fac(3))), (fac(3)) << ((fac(3)) ** (fac(3))), (fac(3)) << ((fac(3)) - (fac(3))), (fac(3)) << ((fac(3)) << (fac(3))), (fac(3)) << ((fac(3)) >> (3)), (fac(3)) << ((fac(3)) >> (fac(3))), (fac(3)) << ((fac(3)) ^ (fac(3))), (fac(3)) >> ((3) % (3)), (fac(3)) >> ((3) - (3)), (fac(3)) >> ((3) << (fac(3))), (fac(3)) >> ((3) >> (3)), (fac(3)) >> ((3) >> (fac(3))), (fac(3)) >> ((3) ^ (3)), (fac(3)) >> ((fac(3)) % (3)), (fac(3)) >> ((fac(3)) % (fac(3))), (fac(3)) >> ((fac(3)) ** (fac(3))), (fac(3)) >> ((fac(3)) - (fac(3))), (fac(3)) >> ((fac(3)) << (fac(3))), (fac(3)) >> ((fac(3)) >> (3)), (fac(3)) >> ((fac(3)) >> (fac(3))), (fac(3)) >> ((fac(3)) ^ (fac(3))), (fac(3)) ^ ((3) % (3)), (fac(3)) ^ ((3) - (3)), (fac(3)) ^ ((3) >> (3)), (fac(3)) ^ ((3) >> (fac(3))), (fac(3)) ^ ((3) ^ (3)), (fac(3)) ^ ((fac(3)) % (3)), (fac(3)) ^ ((fac(3)) % (fac(3))), (fac(3)) ^ ((fac(3)) - (fac(3))), (fac(3)) ^ ((fac(3)) >> (3)), (fac(3)) ^ ((fac(3)) >> (fac(3))), (fac(3)) ^ ((fac(3)) ^ (fac(3))), (fac(3)) | ((3) % (3)), (fac(3)) | ((3) & (fac(3))), (fac(3)) | ((3) + (3)), (fac(3)) | ((3) - (3)), (fac(3)) | ((3) >> (3)), (fac(3)) | ((3) >> (fac(3))), (fac(3)) | ((3) ^ (3)), (fac(3)) | ((fac(3)) % (3)), (fac(3)) | ((fac(3)) % (fac(3))), (fac(3)) | ((fac(3)) & (3)), (fac(3)) | ((fac(3)) & (fac(3))), (fac(3)) | ((fac(3)) - (fac(3))), (fac(3)) | ((fac(3)) / (3)), (fac(3)) | ((fac(3)) >> (3)), (fac(3)) | ((fac(3)) >> (fac(3))), (fac(3)) | ((fac(3)) ^ (fac(3))), (fac(3)) | ((fac(3)) | (fac(3))), ].every((v) => v === 6); +[(!3) + ((!3) + (fac(3))), (!3) + ((!3) ^ (fac(3))), (!3) + ((!3) | (fac(3))), (!3) + ((3) + (3)), (!3) + ((fac(3)) & (fac(3))), (!3) + ((fac(3)) + (!3)), (!3) + ((fac(3)) - (!3)), (!3) + ((fac(3)) << (!3)), (!3) + ((fac(3)) >> (!3)), (!3) + ((fac(3)) ^ (!3)), (!3) + ((fac(3)) | (!3)), (!3) + ((fac(3)) | (fac(3))), (!3) - ((!3) - (fac(3))), (!3) ^ ((!3) + (fac(3))), (!3) ^ ((!3) ^ (fac(3))), (!3) ^ ((!3) | (fac(3))), (!3) ^ ((3) + (3)), (!3) ^ ((fac(3)) & (fac(3))), 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>> ((3) & (!3)), (fac(3)) >> ((3) * (!3)), (fac(3)) >> ((3) - (3)), (fac(3)) >> ((3) << (fac(3))), (fac(3)) >> ((3) >> (3)), (fac(3)) >> ((3) >> (fac(3))), (fac(3)) >> ((3) ^ (3)), (fac(3)) >> ((fac(3)) % (3)), (fac(3)) >> ((fac(3)) % (fac(3))), (fac(3)) >> ((fac(3)) & (!3)), (fac(3)) >> ((fac(3)) * (!3)), (fac(3)) >> ((fac(3)) ** (fac(3))), (fac(3)) >> ((fac(3)) - (fac(3))), (fac(3)) >> ((fac(3)) << (fac(3))), (fac(3)) >> ((fac(3)) >> (3)), (fac(3)) >> ((fac(3)) >> (fac(3))), (fac(3)) >> ((fac(3)) ^ (fac(3))), (fac(3)) ^ ((!3) % (3)), (fac(3)) ^ ((!3) % (fac(3))), (fac(3)) ^ ((!3) & (!3)), (fac(3)) ^ ((!3) & (3)), (fac(3)) ^ ((!3) & (fac(3))), (fac(3)) ^ ((!3) * (!3)), (fac(3)) ^ ((!3) * (3)), (fac(3)) ^ ((!3) * (fac(3))), (fac(3)) ^ ((!3) ** (3)), (fac(3)) ^ ((!3) ** (fac(3))), (fac(3)) ^ ((!3) + (!3)), (fac(3)) ^ ((!3) - (!3)), (fac(3)) ^ ((!3) / (3)), (fac(3)) ^ ((!3) / (fac(3))), (fac(3)) ^ ((!3) << (!3)), (fac(3)) ^ ((!3) << (3)), (fac(3)) ^ ((!3) << (fac(3))), (fac(3)) ^ ((!3) >> (!3)), (fac(3)) ^ ((!3) >> (3)), (fac(3)) ^ ((!3) >> (fac(3))), (fac(3)) ^ ((!3) ^ (!3)), (fac(3)) ^ ((!3) | (!3)), (fac(3)) ^ ((3) % (3)), (fac(3)) ^ ((3) & (!3)), (fac(3)) ^ ((3) * (!3)), (fac(3)) ^ ((3) - (3)), (fac(3)) ^ ((3) >> (3)), (fac(3)) ^ ((3) >> (fac(3))), (fac(3)) ^ ((3) ^ (3)), (fac(3)) ^ ((fac(3)) % (3)), (fac(3)) ^ ((fac(3)) % (fac(3))), (fac(3)) ^ ((fac(3)) & (!3)), (fac(3)) ^ ((fac(3)) * (!3)), (fac(3)) ^ ((fac(3)) - (fac(3))), (fac(3)) ^ ((fac(3)) >> (3)), (fac(3)) ^ ((fac(3)) >> (fac(3))), (fac(3)) ^ ((fac(3)) ^ (fac(3))), (fac(3)) | ((!3) % (3)), (fac(3)) | ((!3) % (fac(3))), (fac(3)) | ((!3) & (!3)), (fac(3)) | ((!3) & (3)), (fac(3)) | ((!3) & (fac(3))), (fac(3)) | ((!3) * (!3)), (fac(3)) | ((!3) * (3)), (fac(3)) | ((!3) * (fac(3))), (fac(3)) | ((!3) ** (3)), (fac(3)) | ((!3) ** (fac(3))), (fac(3)) | ((!3) + (!3)), (fac(3)) | ((!3) + (fac(3))), (fac(3)) | ((!3) - (!3)), (fac(3)) | ((!3) / (3)), (fac(3)) | ((!3) / (fac(3))), (fac(3)) | ((!3) << (!3)), (fac(3)) | ((!3) << (3)), (fac(3)) | ((!3) << (fac(3))), (fac(3)) | ((!3) >> (!3)), (fac(3)) | ((!3) >> (3)), (fac(3)) | ((!3) >> (fac(3))), (fac(3)) | ((!3) ^ (!3)), (fac(3)) | ((!3) ^ (fac(3))), (fac(3)) | ((!3) | (!3)), (fac(3)) | ((!3) | (fac(3))), (fac(3)) | ((3) % (3)), (fac(3)) | ((3) & (!3)), (fac(3)) | ((3) & (fac(3))), (fac(3)) | ((3) * (!3)), (fac(3)) | ((3) + (3)), (fac(3)) | ((3) - (3)), (fac(3)) | ((3) >> (3)), (fac(3)) | ((3) >> (fac(3))), (fac(3)) | ((3) ^ (3)), (fac(3)) | ((fac(3)) % (3)), (fac(3)) | ((fac(3)) % (fac(3))), (fac(3)) | ((fac(3)) & (!3)), (fac(3)) | ((fac(3)) & (3)), (fac(3)) | ((fac(3)) & (fac(3))), (fac(3)) | ((fac(3)) * (!3)), (fac(3)) | ((fac(3)) + (!3)), (fac(3)) | ((fac(3)) - (!3)), (fac(3)) | ((fac(3)) - (fac(3))), (fac(3)) | ((fac(3)) / (3)), (fac(3)) | ((fac(3)) << (!3)), (fac(3)) | ((fac(3)) >> (!3)), (fac(3)) | ((fac(3)) >> (3)), (fac(3)) | ((fac(3)) >> (fac(3))), (fac(3)) | ((fac(3)) ^ (!3)), (fac(3)) | ((fac(3)) ^ (fac(3))), (fac(3)) | ((fac(3)) | (!3)), (fac(3)) | ((fac(3)) | (fac(3))), ].every((v) => v === 6); 4 1 -ansSet.size() = 143 +ansSet.size() = 361 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; -[((4) % (fac(4))) + (sqrt(4)), ((4) % (fac(4))) ^ (sqrt(4)), ((4) % (fac(4))) | (sqrt(4)), ((4) & (4)) + (sqrt(4)), ((4) & (4)) ^ (sqrt(4)), ((4) & (4)) | (sqrt(4)), ((4) * (fac(4))) >> (4), ((4) * (sqrt(4))) - (sqrt(4)), ((4) + (4)) - (sqrt(4)), ((4) + (sqrt(4))) % (fac(4)), ((4) + (sqrt(4))) | (4), ((4) + (sqrt(4))) | (sqrt(4)), ((4) - (sqrt(4))) + (4), ((4) - (sqrt(4))) ^ (4), ((4) - (sqrt(4))) | (4), ((4) / (sqrt(4))) + (4), ((4) / (sqrt(4))) ^ (4), ((4) / (sqrt(4))) | (4), ((4) ^ (sqrt(4))) % (fac(4)), ((4) ^ (sqrt(4))) | (4), ((4) ^ (sqrt(4))) | (sqrt(4)), ((4) | (4)) + (sqrt(4)), ((4) | (4)) ^ (sqrt(4)), ((4) | (4)) | (sqrt(4)), ((4) | (sqrt(4))) % (fac(4)), ((4) | (sqrt(4))) | (4), ((4) | (sqrt(4))) | (sqrt(4)), ((fac(4)) & (fac(4))) / (4), ((fac(4)) & (fac(4))) >> (sqrt(4)), ((fac(4)) * (4)) >> (4), ((fac(4)) + (sqrt(4))) >> (sqrt(4)), ((fac(4)) / (4)) % (fac(4)), ((fac(4)) / (4)) | (4), ((fac(4)) / (4)) | (sqrt(4)), ((fac(4)) / (sqrt(4))) / (sqrt(4)), ((fac(4)) << (sqrt(4))) >> (4), ((fac(4)) >> (sqrt(4))) % (fac(4)), ((fac(4)) >> (sqrt(4))) | (4), ((fac(4)) >> (sqrt(4))) | (sqrt(4)), ((fac(4)) ^ (sqrt(4))) >> (sqrt(4)), ((fac(4)) | (fac(4))) / (4), ((fac(4)) | (fac(4))) >> (sqrt(4)), ((fac(4)) | (sqrt(4))) >> (sqrt(4)), ((sqrt(4)) % (4)) + (4), ((sqrt(4)) % (4)) ^ (4), ((sqrt(4)) % (4)) | (4), ((sqrt(4)) % (fac(4))) + (4), ((sqrt(4)) % (fac(4))) ^ (4), ((sqrt(4)) % (fac(4))) | (4), ((sqrt(4)) & (sqrt(4))) + (4), ((sqrt(4)) & (sqrt(4))) ^ (4), ((sqrt(4)) & (sqrt(4))) | (4), ((sqrt(4)) * (4)) - (sqrt(4)), ((sqrt(4)) * (sqrt(4))) + (sqrt(4)), ((sqrt(4)) * (sqrt(4))) ^ (sqrt(4)), ((sqrt(4)) * (sqrt(4))) | (sqrt(4)), ((sqrt(4)) ** (sqrt(4))) + (sqrt(4)), ((sqrt(4)) ** (sqrt(4))) ^ (sqrt(4)), ((sqrt(4)) ** (sqrt(4))) | (sqrt(4)), ((sqrt(4)) + (4)) % (fac(4)), ((sqrt(4)) + (4)) | (4), ((sqrt(4)) + (4)) | (sqrt(4)), ((sqrt(4)) + (fac(4))) >> (sqrt(4)), ((sqrt(4)) + (sqrt(4))) + (sqrt(4)), ((sqrt(4)) + (sqrt(4))) ^ (sqrt(4)), ((sqrt(4)) + (sqrt(4))) | (sqrt(4)), ((sqrt(4)) << (sqrt(4))) - (sqrt(4)), ((sqrt(4)) ^ (4)) % (fac(4)), ((sqrt(4)) ^ (4)) | (4), ((sqrt(4)) ^ (4)) | (sqrt(4)), ((sqrt(4)) ^ (fac(4))) >> (sqrt(4)), ((sqrt(4)) | (4)) % (fac(4)), ((sqrt(4)) | (4)) | (4), ((sqrt(4)) | (4)) | (sqrt(4)), ((sqrt(4)) | (fac(4))) >> (sqrt(4)), ((sqrt(4)) | (sqrt(4))) + (4), ((sqrt(4)) | (sqrt(4))) ^ (4), ((sqrt(4)) | (sqrt(4))) | (4), (4) + ((4) - (sqrt(4))), (4) + ((4) / (sqrt(4))), (4) + ((sqrt(4)) % (4)), (4) + ((sqrt(4)) % (fac(4))), (4) + ((sqrt(4)) & (sqrt(4))), (4) + ((sqrt(4)) | (sqrt(4))), (4) - ((sqrt(4)) - (4)), (4) ^ ((4) - (sqrt(4))), (4) ^ ((4) / (sqrt(4))), (4) ^ ((sqrt(4)) % (4)), (4) ^ ((sqrt(4)) % (fac(4))), (4) ^ ((sqrt(4)) & (sqrt(4))), (4) ^ ((sqrt(4)) | (sqrt(4))), (4) | ((4) + (sqrt(4))), (4) | ((4) - (sqrt(4))), (4) | ((4) / (sqrt(4))), (4) | ((4) ^ (sqrt(4))), (4) | ((4) | (sqrt(4))), (4) | ((fac(4)) / (4)), (4) | ((fac(4)) >> (sqrt(4))), (4) | ((sqrt(4)) % (4)), (4) | ((sqrt(4)) % (fac(4))), (4) | ((sqrt(4)) & (sqrt(4))), (4) | ((sqrt(4)) + (4)), (4) | ((sqrt(4)) ^ (4)), (4) | ((sqrt(4)) | (4)), (4) | ((sqrt(4)) | (sqrt(4))), (fac(4)) / ((4) % (fac(4))), (fac(4)) / ((4) & (4)), (fac(4)) / ((4) | (4)), (fac(4)) / ((sqrt(4)) * (sqrt(4))), (fac(4)) / ((sqrt(4)) ** (sqrt(4))), (fac(4)) / ((sqrt(4)) + (sqrt(4))), (fac(4)) >> ((4) - (sqrt(4))), (fac(4)) >> ((4) / (sqrt(4))), (fac(4)) >> ((sqrt(4)) % (4)), (fac(4)) >> ((sqrt(4)) % (fac(4))), (fac(4)) >> ((sqrt(4)) & (sqrt(4))), (fac(4)) >> ((sqrt(4)) | (sqrt(4))), (sqrt(4)) + ((4) % (fac(4))), (sqrt(4)) + ((4) & (4)), (sqrt(4)) + ((4) | (4)), (sqrt(4)) + ((sqrt(4)) * (sqrt(4))), (sqrt(4)) + ((sqrt(4)) ** (sqrt(4))), (sqrt(4)) + ((sqrt(4)) + (sqrt(4))), (sqrt(4)) ^ ((4) % (fac(4))), (sqrt(4)) ^ ((4) & (4)), (sqrt(4)) ^ ((4) | (4)), (sqrt(4)) ^ ((sqrt(4)) * (sqrt(4))), (sqrt(4)) ^ ((sqrt(4)) ** (sqrt(4))), (sqrt(4)) ^ ((sqrt(4)) + (sqrt(4))), (sqrt(4)) | ((4) % (fac(4))), (sqrt(4)) | ((4) & (4)), (sqrt(4)) | ((4) + (sqrt(4))), (sqrt(4)) | ((4) ^ (sqrt(4))), (sqrt(4)) | ((4) | (4)), (sqrt(4)) | ((4) | (sqrt(4))), (sqrt(4)) | ((fac(4)) / (4)), (sqrt(4)) | ((fac(4)) >> (sqrt(4))), (sqrt(4)) | ((sqrt(4)) * (sqrt(4))), (sqrt(4)) | ((sqrt(4)) ** (sqrt(4))), (sqrt(4)) | ((sqrt(4)) + (4)), (sqrt(4)) | ((sqrt(4)) + (sqrt(4))), (sqrt(4)) | ((sqrt(4)) ^ (4)), (sqrt(4)) | ((sqrt(4)) | (4)), ].every((v) => v === 6); +[(!4) + ((4) + (sqrt(4))), (!4) + ((4) ^ (sqrt(4))), (!4) + ((4) | (sqrt(4))), (!4) + ((fac(4)) / (4)), (!4) + ((fac(4)) >> (sqrt(4))), (!4) + ((sqrt(4)) + (4)), (!4) + ((sqrt(4)) ^ (4)), (!4) + ((sqrt(4)) | (4)), (!4) ^ ((4) + (sqrt(4))), (!4) ^ ((4) ^ (sqrt(4))), (!4) ^ ((4) | (sqrt(4))), (!4) ^ ((fac(4)) / (4)), (!4) ^ ((fac(4)) >> (sqrt(4))), (!4) ^ ((sqrt(4)) + (4)), (!4) ^ ((sqrt(4)) ^ (4)), (!4) ^ ((sqrt(4)) | (4)), (!4) | ((4) + (sqrt(4))), (!4) | ((4) ^ (sqrt(4))), (!4) | ((4) | (sqrt(4))), (!4) | ((fac(4)) / (4)), (!4) | ((fac(4)) >> (sqrt(4))), (!4) | ((sqrt(4)) + (4)), (!4) | ((sqrt(4)) ^ (4)), (!4) | ((sqrt(4)) | (4)), ((!4) + (4)) + (sqrt(4)), ((!4) + (4)) ^ (sqrt(4)), ((!4) + (4)) | (sqrt(4)), ((!4) + (fac(4))) / (4), ((!4) + (fac(4))) >> (sqrt(4)), ((!4) + (sqrt(4))) + (4), ((!4) + (sqrt(4))) ^ (4), ((!4) + (sqrt(4))) | (4), ((!4) ^ (4)) + (sqrt(4)), ((!4) ^ (4)) ^ (sqrt(4)), ((!4) ^ (4)) | (sqrt(4)), ((!4) ^ (fac(4))) / (4), ((!4) ^ (fac(4))) >> (sqrt(4)), ((!4) ^ (sqrt(4))) + (4), ((!4) ^ (sqrt(4))) ^ (4), ((!4) ^ (sqrt(4))) | (4), ((!4) | (4)) + (sqrt(4)), ((!4) | (4)) ^ (sqrt(4)), ((!4) | (4)) | (sqrt(4)), ((!4) | (fac(4))) / (4), ((!4) | (fac(4))) >> (sqrt(4)), ((!4) | (sqrt(4))) + (4), ((!4) | (sqrt(4))) ^ (4), ((!4) | (sqrt(4))) | (4), ((4) % (fac(4))) + (sqrt(4)), ((4) % (fac(4))) ^ (sqrt(4)), ((4) % (fac(4))) | (sqrt(4)), ((4) & (4)) + (sqrt(4)), ((4) & (4)) ^ (sqrt(4)), ((4) & (4)) | (sqrt(4)), ((4) * (fac(4))) >> (4), ((4) * (sqrt(4))) - (sqrt(4)), ((4) + (!4)) + (sqrt(4)), ((4) + (!4)) ^ (sqrt(4)), ((4) + (!4)) | (sqrt(4)), ((4) + (4)) - (sqrt(4)), ((4) + (sqrt(4))) % (fac(4)), ((4) + (sqrt(4))) + (!4), ((4) + (sqrt(4))) - (!4), ((4) + (sqrt(4))) << (!4), ((4) + (sqrt(4))) >> (!4), ((4) + (sqrt(4))) ^ (!4), ((4) + (sqrt(4))) | (!4), ((4) + (sqrt(4))) | (4), ((4) + (sqrt(4))) | (sqrt(4)), ((4) - (!4)) + (sqrt(4)), ((4) - (!4)) ^ (sqrt(4)), ((4) - (!4)) | (sqrt(4)), ((4) - (sqrt(4))) + (4), ((4) - (sqrt(4))) ^ (4), ((4) - (sqrt(4))) | (4), ((4) / (sqrt(4))) + (4), ((4) / (sqrt(4))) ^ (4), ((4) / (sqrt(4))) | (4), ((4) << (!4)) + (sqrt(4)), ((4) << (!4)) ^ (sqrt(4)), ((4) << (!4)) | (sqrt(4)), ((4) >> (!4)) + (sqrt(4)), ((4) >> (!4)) ^ (sqrt(4)), ((4) >> (!4)) | (sqrt(4)), ((4) ^ (!4)) + (sqrt(4)), ((4) ^ (!4)) ^ (sqrt(4)), ((4) ^ (!4)) | (sqrt(4)), ((4) ^ (sqrt(4))) % (fac(4)), ((4) ^ (sqrt(4))) + (!4), ((4) ^ (sqrt(4))) - (!4), ((4) ^ (sqrt(4))) << (!4), ((4) ^ (sqrt(4))) >> (!4), ((4) ^ (sqrt(4))) ^ (!4), ((4) ^ (sqrt(4))) | (!4), ((4) ^ (sqrt(4))) | (4), ((4) ^ (sqrt(4))) | (sqrt(4)), ((4) | (!4)) + (sqrt(4)), ((4) | (!4)) ^ (sqrt(4)), ((4) | (!4)) | (sqrt(4)), ((4) | (4)) + (sqrt(4)), ((4) | (4)) ^ (sqrt(4)), ((4) | (4)) | (sqrt(4)), ((4) | (sqrt(4))) % (fac(4)), ((4) | (sqrt(4))) + (!4), ((4) | (sqrt(4))) - (!4), ((4) | (sqrt(4))) << (!4), ((4) | (sqrt(4))) >> (!4), ((4) | (sqrt(4))) ^ (!4), ((4) | (sqrt(4))) | (!4), ((4) | (sqrt(4))) | (4), ((4) | (sqrt(4))) | (sqrt(4)), ((fac(4)) & (fac(4))) / (4), ((fac(4)) & (fac(4))) >> (sqrt(4)), ((fac(4)) * (4)) >> (4), ((fac(4)) + (!4)) / (4), ((fac(4)) + (!4)) >> (sqrt(4)), ((fac(4)) + (sqrt(4))) >> (sqrt(4)), ((fac(4)) - (!4)) / (4), ((fac(4)) - (!4)) >> (sqrt(4)), ((fac(4)) / (4)) % (fac(4)), ((fac(4)) / (4)) + (!4), ((fac(4)) / (4)) - (!4), ((fac(4)) / (4)) << (!4), ((fac(4)) / (4)) >> (!4), ((fac(4)) / (4)) ^ (!4), ((fac(4)) / (4)) | (!4), ((fac(4)) / (4)) | (4), ((fac(4)) / (4)) | (sqrt(4)), ((fac(4)) / (sqrt(4))) / (sqrt(4)), ((fac(4)) << (!4)) / (4), ((fac(4)) << (!4)) >> (sqrt(4)), ((fac(4)) << (sqrt(4))) >> (4), ((fac(4)) >> (!4)) / (4), ((fac(4)) >> (!4)) >> (sqrt(4)), ((fac(4)) >> (sqrt(4))) % (fac(4)), ((fac(4)) >> (sqrt(4))) + (!4), ((fac(4)) >> (sqrt(4))) - (!4), ((fac(4)) >> (sqrt(4))) << (!4), ((fac(4)) >> (sqrt(4))) >> (!4), ((fac(4)) >> (sqrt(4))) ^ (!4), ((fac(4)) >> (sqrt(4))) | (!4), ((fac(4)) >> (sqrt(4))) | (4), ((fac(4)) >> (sqrt(4))) | (sqrt(4)), ((fac(4)) ^ (!4)) / (4), ((fac(4)) ^ (!4)) >> (sqrt(4)), ((fac(4)) ^ (sqrt(4))) >> (sqrt(4)), ((fac(4)) | (!4)) / (4), ((fac(4)) | (!4)) >> (sqrt(4)), ((fac(4)) | (fac(4))) / (4), ((fac(4)) | (fac(4))) >> (sqrt(4)), ((fac(4)) | (sqrt(4))) >> (sqrt(4)), ((sqrt(4)) % (4)) + (4), ((sqrt(4)) % (4)) ^ (4), ((sqrt(4)) % (4)) | (4), ((sqrt(4)) % (fac(4))) + (4), ((sqrt(4)) % (fac(4))) ^ (4), ((sqrt(4)) % (fac(4))) | (4), ((sqrt(4)) & (sqrt(4))) + (4), ((sqrt(4)) & (sqrt(4))) ^ (4), ((sqrt(4)) & (sqrt(4))) | (4), ((sqrt(4)) * (4)) - (sqrt(4)), ((sqrt(4)) * (sqrt(4))) + (sqrt(4)), ((sqrt(4)) * (sqrt(4))) ^ (sqrt(4)), ((sqrt(4)) * (sqrt(4))) | (sqrt(4)), ((sqrt(4)) ** (sqrt(4))) + (sqrt(4)), ((sqrt(4)) ** (sqrt(4))) ^ (sqrt(4)), ((sqrt(4)) ** (sqrt(4))) | (sqrt(4)), ((sqrt(4)) + (!4)) + (4), ((sqrt(4)) + (!4)) ^ (4), ((sqrt(4)) + (!4)) | (4), ((sqrt(4)) + (4)) % (fac(4)), ((sqrt(4)) + (4)) + (!4), ((sqrt(4)) + (4)) - (!4), ((sqrt(4)) + (4)) << (!4), ((sqrt(4)) + (4)) >> (!4), ((sqrt(4)) + (4)) ^ (!4), ((sqrt(4)) + (4)) | (!4), ((sqrt(4)) + (4)) | (4), ((sqrt(4)) + (4)) | (sqrt(4)), ((sqrt(4)) + (fac(4))) >> (sqrt(4)), ((sqrt(4)) + (sqrt(4))) + (sqrt(4)), ((sqrt(4)) + (sqrt(4))) ^ (sqrt(4)), ((sqrt(4)) + (sqrt(4))) | (sqrt(4)), ((sqrt(4)) - (!4)) + (4), ((sqrt(4)) - (!4)) ^ (4), ((sqrt(4)) - (!4)) | (4), ((sqrt(4)) << (!4)) + (4), ((sqrt(4)) << (!4)) ^ (4), ((sqrt(4)) << (!4)) | (4), ((sqrt(4)) << (sqrt(4))) - (sqrt(4)), ((sqrt(4)) >> (!4)) + (4), ((sqrt(4)) >> (!4)) ^ (4), ((sqrt(4)) >> (!4)) | (4), ((sqrt(4)) ^ (!4)) + (4), ((sqrt(4)) ^ (!4)) ^ (4), ((sqrt(4)) ^ (!4)) | (4), ((sqrt(4)) ^ (4)) % (fac(4)), ((sqrt(4)) ^ (4)) + (!4), ((sqrt(4)) ^ (4)) - (!4), ((sqrt(4)) ^ (4)) << (!4), ((sqrt(4)) ^ (4)) >> (!4), ((sqrt(4)) ^ (4)) ^ (!4), ((sqrt(4)) ^ (4)) | (!4), ((sqrt(4)) ^ (4)) | (4), ((sqrt(4)) ^ (4)) | (sqrt(4)), ((sqrt(4)) ^ (fac(4))) >> (sqrt(4)), ((sqrt(4)) | (!4)) + (4), ((sqrt(4)) | (!4)) ^ (4), ((sqrt(4)) | (!4)) | (4), ((sqrt(4)) | (4)) % (fac(4)), ((sqrt(4)) | (4)) + (!4), ((sqrt(4)) | (4)) - (!4), ((sqrt(4)) | (4)) << (!4), ((sqrt(4)) | (4)) >> (!4), ((sqrt(4)) | (4)) ^ (!4), ((sqrt(4)) | (4)) | (!4), ((sqrt(4)) | (4)) | (4), ((sqrt(4)) | (4)) | (sqrt(4)), ((sqrt(4)) | (fac(4))) >> (sqrt(4)), ((sqrt(4)) | (sqrt(4))) + (4), ((sqrt(4)) | (sqrt(4))) ^ (4), ((sqrt(4)) | (sqrt(4))) | (4), (4) + ((!4) + (sqrt(4))), (4) + ((!4) ^ (sqrt(4))), (4) + ((!4) | (sqrt(4))), (4) + ((4) - (sqrt(4))), (4) + ((4) / (sqrt(4))), (4) + ((sqrt(4)) % (4)), (4) + ((sqrt(4)) % (fac(4))), (4) + ((sqrt(4)) & (sqrt(4))), (4) + ((sqrt(4)) + (!4)), (4) + ((sqrt(4)) - (!4)), (4) + ((sqrt(4)) << (!4)), (4) + ((sqrt(4)) >> (!4)), (4) + ((sqrt(4)) ^ (!4)), (4) + ((sqrt(4)) | (!4)), (4) + ((sqrt(4)) | (sqrt(4))), (4) - ((!4) - (sqrt(4))), (4) - ((sqrt(4)) - (4)), (4) ^ ((!4) + (sqrt(4))), (4) ^ ((!4) ^ (sqrt(4))), (4) ^ ((!4) | (sqrt(4))), (4) ^ ((4) - (sqrt(4))), (4) ^ ((4) / (sqrt(4))), (4) ^ ((sqrt(4)) % (4)), (4) ^ ((sqrt(4)) % (fac(4))), (4) ^ ((sqrt(4)) & (sqrt(4))), (4) ^ ((sqrt(4)) + (!4)), (4) ^ ((sqrt(4)) - (!4)), (4) ^ ((sqrt(4)) << (!4)), (4) ^ ((sqrt(4)) >> (!4)), (4) ^ ((sqrt(4)) ^ (!4)), (4) ^ ((sqrt(4)) | (!4)), (4) ^ ((sqrt(4)) | (sqrt(4))), (4) | ((!4) + (sqrt(4))), (4) | ((!4) ^ (sqrt(4))), (4) | ((!4) | (sqrt(4))), (4) | ((4) + (sqrt(4))), (4) | ((4) - (sqrt(4))), (4) | ((4) / (sqrt(4))), (4) | ((4) ^ (sqrt(4))), (4) | ((4) | (sqrt(4))), (4) | ((fac(4)) / (4)), (4) | ((fac(4)) >> (sqrt(4))), (4) | ((sqrt(4)) % (4)), (4) | ((sqrt(4)) % (fac(4))), (4) | ((sqrt(4)) & (sqrt(4))), (4) | ((sqrt(4)) + (!4)), (4) | ((sqrt(4)) + (4)), (4) | ((sqrt(4)) - (!4)), (4) | ((sqrt(4)) << (!4)), (4) | ((sqrt(4)) >> (!4)), (4) | ((sqrt(4)) ^ (!4)), (4) | ((sqrt(4)) ^ (4)), (4) | ((sqrt(4)) | (!4)), (4) | ((sqrt(4)) | (4)), (4) | ((sqrt(4)) | (sqrt(4))), (fac(4)) / ((!4) + (4)), (fac(4)) / ((!4) ^ (4)), (fac(4)) / ((!4) | (4)), (fac(4)) / ((4) % (fac(4))), (fac(4)) / ((4) & (4)), (fac(4)) / ((4) + (!4)), (fac(4)) / ((4) - (!4)), (fac(4)) / ((4) << (!4)), (fac(4)) / ((4) >> (!4)), (fac(4)) / ((4) ^ (!4)), (fac(4)) / ((4) | (!4)), (fac(4)) / ((4) | (4)), (fac(4)) / ((sqrt(4)) * (sqrt(4))), (fac(4)) / ((sqrt(4)) ** (sqrt(4))), (fac(4)) / ((sqrt(4)) + (sqrt(4))), (fac(4)) >> ((!4) + (sqrt(4))), (fac(4)) >> ((!4) ^ (sqrt(4))), (fac(4)) >> ((!4) | (sqrt(4))), (fac(4)) >> ((4) - (sqrt(4))), (fac(4)) >> ((4) / (sqrt(4))), (fac(4)) >> ((sqrt(4)) % (4)), (fac(4)) >> ((sqrt(4)) % (fac(4))), (fac(4)) >> ((sqrt(4)) & (sqrt(4))), (fac(4)) >> ((sqrt(4)) + (!4)), (fac(4)) >> ((sqrt(4)) - (!4)), (fac(4)) >> ((sqrt(4)) << (!4)), (fac(4)) >> ((sqrt(4)) >> (!4)), (fac(4)) >> ((sqrt(4)) ^ (!4)), (fac(4)) >> ((sqrt(4)) | (!4)), (fac(4)) >> ((sqrt(4)) | (sqrt(4))), (sqrt(4)) + ((!4) + (4)), (sqrt(4)) + ((!4) ^ (4)), (sqrt(4)) + ((!4) | (4)), (sqrt(4)) + ((4) % (fac(4))), (sqrt(4)) + ((4) & (4)), (sqrt(4)) + ((4) + (!4)), (sqrt(4)) + ((4) - (!4)), (sqrt(4)) + ((4) << (!4)), (sqrt(4)) + ((4) >> (!4)), (sqrt(4)) + ((4) ^ (!4)), (sqrt(4)) + ((4) | (!4)), (sqrt(4)) + ((4) | (4)), (sqrt(4)) + ((sqrt(4)) * (sqrt(4))), (sqrt(4)) + ((sqrt(4)) ** (sqrt(4))), (sqrt(4)) + ((sqrt(4)) + (sqrt(4))), (sqrt(4)) - ((!4) - (4)), (sqrt(4)) ^ ((!4) + (4)), (sqrt(4)) ^ ((!4) ^ (4)), (sqrt(4)) ^ ((!4) | (4)), (sqrt(4)) ^ ((4) % (fac(4))), (sqrt(4)) ^ ((4) & (4)), (sqrt(4)) ^ ((4) + (!4)), (sqrt(4)) ^ ((4) - (!4)), (sqrt(4)) ^ ((4) << (!4)), (sqrt(4)) ^ ((4) >> (!4)), (sqrt(4)) ^ ((4) ^ (!4)), (sqrt(4)) ^ ((4) | (!4)), (sqrt(4)) ^ ((4) | (4)), (sqrt(4)) ^ ((sqrt(4)) * (sqrt(4))), (sqrt(4)) ^ ((sqrt(4)) ** (sqrt(4))), (sqrt(4)) ^ ((sqrt(4)) + (sqrt(4))), (sqrt(4)) | ((!4) + (4)), (sqrt(4)) | ((!4) ^ (4)), (sqrt(4)) | ((!4) | (4)), (sqrt(4)) | ((4) % (fac(4))), (sqrt(4)) | ((4) & (4)), (sqrt(4)) | ((4) + (!4)), (sqrt(4)) | ((4) + (sqrt(4))), (sqrt(4)) | ((4) - (!4)), (sqrt(4)) | ((4) << (!4)), (sqrt(4)) | ((4) >> (!4)), (sqrt(4)) | ((4) ^ (!4)), (sqrt(4)) | ((4) ^ (sqrt(4))), (sqrt(4)) | ((4) | (!4)), (sqrt(4)) | ((4) | (4)), (sqrt(4)) | ((4) | (sqrt(4))), (sqrt(4)) | ((fac(4)) / (4)), (sqrt(4)) | ((fac(4)) >> (sqrt(4))), (sqrt(4)) | ((sqrt(4)) * (sqrt(4))), (sqrt(4)) | ((sqrt(4)) ** (sqrt(4))), (sqrt(4)) | ((sqrt(4)) + (4)), (sqrt(4)) | ((sqrt(4)) + (sqrt(4))), (sqrt(4)) | ((sqrt(4)) ^ (4)), (sqrt(4)) | ((sqrt(4)) | (4)), ].every((v) => v === 6); 5 1 -ansSet.size() = 6 +ansSet.size() = 12 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; -[((5) / (5)) + (5), ((fac(5)) / (fac(5))) + (5), ((fac(5)) >> (5)) ^ (5), (5) + ((5) / (5)), (5) + ((fac(5)) / (fac(5))), (5) ^ ((fac(5)) >> (5)), ].every((v) => v === 6); +[((!5) ** (!5)) + (5), ((5) ** (!5)) + (5), ((5) / (5)) + (5), ((fac(5)) ** (!5)) + (5), ((fac(5)) / (fac(5))) + (5), ((fac(5)) >> (5)) ^ (5), (5) + ((!5) ** (!5)), (5) + ((5) ** (!5)), (5) + ((5) / (5)), (5) + ((fac(5)) ** (!5)), (5) + ((fac(5)) / (fac(5))), (5) ^ ((fac(5)) >> (5)), ].every((v) => v === 6); 6 1 -ansSet.size() = 219 +ansSet.size() = 629 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; -[((6) % (6)) + (6), ((6) % (6)) ^ (6), ((6) % (6)) | (6), ((6) % (fac(6))) % (fac(6)), ((6) % (fac(6))) & (6), ((6) % (fac(6))) | (6), ((6) & (6)) % (fac(6)), ((6) & (6)) & (6), ((6) & (6)) | (6), ((6) & (fac(6))) + (6), ((6) & (fac(6))) ^ (6), ((6) & (fac(6))) | (6), ((6) * (6)) / (6), ((6) * (fac(6))) / (fac(6)), ((6) + (6)) - (6), ((6) + (fac(6))) % (fac(6)), ((6) + (fac(6))) & (6), ((6) + (fac(6))) - (fac(6)), ((6) + (fac(6))) ^ (fac(6)), ((6) - (6)) + (6), ((6) - (6)) ^ (6), ((6) - (6)) | (6), ((6) - (fac(6))) & (6), ((6) - (fac(6))) + (fac(6)), ((6) / (6)) * (6), ((6) << (6)) >> (6), ((6) << (fac(6))) >> (fac(6)), ((6) >> (6)) + (6), ((6) >> (6)) ^ (6), ((6) >> (6)) | (6), ((6) >> (fac(6))) + (6), ((6) >> (fac(6))) ^ (6), ((6) >> (fac(6))) | (6), ((6) ^ (6)) + (6), ((6) ^ (6)) ^ (6), ((6) ^ (6)) | (6), ((6) ^ (fac(6))) % (fac(6)), ((6) ^ (fac(6))) & (6), ((6) ^ (fac(6))) - (fac(6)), ((6) ^ (fac(6))) ^ (fac(6)), ((6) | (6)) % (fac(6)), ((6) | (6)) & (6), ((6) | (6)) | (6), ((6) | (fac(6))) % (fac(6)), ((6) | (fac(6))) & (6), ((6) | (fac(6))) - (fac(6)), ((6) | (fac(6))) ^ (fac(6)), ((fac(6)) % (6)) + (6), ((fac(6)) % (6)) ^ (6), ((fac(6)) % (6)) | (6), ((fac(6)) % (fac(6))) + (6), ((fac(6)) % (fac(6))) ^ (6), ((fac(6)) % (fac(6))) | (6), ((fac(6)) & (6)) + (6), ((fac(6)) & (6)) ^ (6), ((fac(6)) & (6)) | (6), ((fac(6)) * (6)) / (fac(6)), ((fac(6)) + (6)) % (fac(6)), ((fac(6)) + (6)) & (6), ((fac(6)) + (6)) - (fac(6)), ((fac(6)) + (6)) ^ (fac(6)), ((fac(6)) - (fac(6))) + (6), ((fac(6)) - (fac(6))) ^ (6), ((fac(6)) - (fac(6))) | (6), ((fac(6)) / (fac(6))) * (6), ((fac(6)) >> (fac(6))) + (6), ((fac(6)) >> (fac(6))) ^ (6), ((fac(6)) >> (fac(6))) | (6), ((fac(6)) ^ (6)) % (fac(6)), ((fac(6)) ^ (6)) & (6), ((fac(6)) ^ (6)) - (fac(6)), ((fac(6)) ^ (6)) ^ (fac(6)), ((fac(6)) ^ (fac(6))) + (6), ((fac(6)) ^ (fac(6))) ^ (6), ((fac(6)) ^ (fac(6))) | (6), ((fac(6)) | (6)) % (fac(6)), ((fac(6)) | (6)) & (6), ((fac(6)) | (6)) - (fac(6)), ((fac(6)) | (6)) ^ (fac(6)), (6) % ((6) * (6)), (6) % ((6) * (fac(6))), (6) % ((6) ** (6)), (6) % ((6) + (6)), (6) % ((6) + (fac(6))), (6) % ((6) - (fac(6))), (6) % ((6) << (6)), (6) % ((6) << (fac(6))), (6) % ((6) ^ (fac(6))), (6) % ((6) | (fac(6))), (6) % ((fac(6)) & (fac(6))), (6) % ((fac(6)) * (6)), (6) % ((fac(6)) * (fac(6))), (6) % ((fac(6)) ** (6)), (6) % ((fac(6)) + (6)), (6) % ((fac(6)) + (fac(6))), (6) % ((fac(6)) - (6)), (6) % ((fac(6)) / (6)), (6) % ((fac(6)) << (6)), (6) % ((fac(6)) << (fac(6))), (6) % ((fac(6)) >> (6)), (6) % ((fac(6)) ^ (6)), (6) % ((fac(6)) | (6)), (6) % ((fac(6)) | (fac(6))), (6) & ((6) % (fac(6))), (6) & ((6) & (6)), (6) & ((6) + (fac(6))), (6) & ((6) - (fac(6))), (6) & ((6) ^ (fac(6))), (6) & ((6) | (6)), (6) & ((6) | (fac(6))), (6) & ((fac(6)) + (6)), (6) & ((fac(6)) ^ (6)), (6) & ((fac(6)) | (6)), (6) * ((6) / (6)), (6) * ((fac(6)) / (fac(6))), (6) ** ((6) / (6)), (6) ** ((fac(6)) / (fac(6))), (6) + ((6) % (6)), (6) + ((6) & (fac(6))), (6) + ((6) - (6)), (6) + ((6) >> (6)), (6) + ((6) >> (fac(6))), (6) + ((6) ^ (6)), (6) + ((fac(6)) % (6)), (6) + ((fac(6)) % (fac(6))), (6) + ((fac(6)) & (6)), (6) + ((fac(6)) - (fac(6))), (6) + ((fac(6)) >> (fac(6))), (6) + ((fac(6)) ^ (fac(6))), (6) - ((6) % (6)), (6) - ((6) & (fac(6))), (6) - ((6) - (6)), (6) - ((6) >> (6)), (6) - ((6) >> (fac(6))), (6) - ((6) ^ (6)), (6) - ((fac(6)) % (6)), (6) - ((fac(6)) % (fac(6))), (6) - ((fac(6)) & (6)), (6) - ((fac(6)) - (fac(6))), (6) - ((fac(6)) >> (fac(6))), (6) - ((fac(6)) ^ (fac(6))), (6) / ((6) / (6)), (6) / ((fac(6)) / (fac(6))), (6) << ((6) % (6)), (6) << ((6) & (fac(6))), (6) << ((6) ** (6)), (6) << ((6) - (6)), (6) << ((6) << (6)), (6) << ((6) << (fac(6))), (6) << ((6) >> (6)), (6) << ((6) >> (fac(6))), (6) << ((6) ^ (6)), (6) << ((fac(6)) % (6)), (6) << ((fac(6)) % (fac(6))), (6) << ((fac(6)) & (6)), (6) << ((fac(6)) * (fac(6))), (6) << ((fac(6)) ** (6)), (6) << ((fac(6)) - (fac(6))), (6) << ((fac(6)) << (6)), (6) << ((fac(6)) << (fac(6))), (6) << ((fac(6)) >> (fac(6))), (6) << ((fac(6)) ^ (fac(6))), (6) >> ((6) % (6)), (6) >> ((6) & (fac(6))), (6) >> ((6) ** (6)), (6) >> ((6) - (6)), (6) >> ((6) << (6)), (6) >> ((6) << (fac(6))), (6) >> ((6) >> (6)), (6) >> ((6) >> (fac(6))), (6) >> ((6) ^ (6)), (6) >> ((fac(6)) % (6)), (6) >> ((fac(6)) % (fac(6))), (6) >> ((fac(6)) & (6)), (6) >> ((fac(6)) * (fac(6))), (6) >> ((fac(6)) ** (6)), (6) >> ((fac(6)) - (fac(6))), (6) >> ((fac(6)) << (6)), (6) >> ((fac(6)) << (fac(6))), (6) >> ((fac(6)) >> (fac(6))), (6) >> ((fac(6)) ^ (fac(6))), (6) ^ ((6) % (6)), (6) ^ ((6) & (fac(6))), (6) ^ ((6) - (6)), (6) ^ ((6) >> (6)), (6) ^ ((6) >> (fac(6))), (6) ^ ((6) ^ (6)), (6) ^ ((fac(6)) % (6)), (6) ^ ((fac(6)) % (fac(6))), (6) ^ ((fac(6)) & (6)), (6) ^ ((fac(6)) - (fac(6))), (6) ^ ((fac(6)) >> (fac(6))), (6) ^ ((fac(6)) ^ (fac(6))), (6) | ((6) % (6)), (6) | ((6) % (fac(6))), (6) | ((6) & (6)), (6) | ((6) & (fac(6))), (6) | ((6) - (6)), (6) | ((6) >> (6)), (6) | ((6) >> (fac(6))), (6) | ((6) ^ (6)), (6) | ((6) | (6)), (6) | ((fac(6)) % (6)), (6) | ((fac(6)) % (fac(6))), (6) | ((fac(6)) & (6)), (6) | ((fac(6)) - (fac(6))), (6) | ((fac(6)) >> (fac(6))), (6) | ((fac(6)) ^ (fac(6))), (fac(6)) % ((6) - (fac(6))), (fac(6)) % ((fac(6)) - (6)), (fac(6)) + ((6) - (fac(6))), (fac(6)) - ((fac(6)) - (6)), (fac(6)) / ((fac(6)) / (6)), (fac(6)) ^ ((6) + (fac(6))), (fac(6)) ^ ((6) ^ (fac(6))), (fac(6)) ^ ((6) | (fac(6))), (fac(6)) ^ ((fac(6)) + (6)), (fac(6)) ^ ((fac(6)) ^ (6)), (fac(6)) ^ ((fac(6)) | (6)), ].every((v) => v === 6); +[(!6) + ((!6) + (6)), (!6) + ((!6) ^ (6)), (!6) + ((!6) | (6)), (!6) + ((6) % (fac(6))), (!6) + ((6) & (6)), (!6) + ((6) + (!6)), (!6) + ((6) - (!6)), (!6) + ((6) << (!6)), (!6) + ((6) >> (!6)), (!6) + ((6) ^ (!6)), (!6) + ((6) | (!6)), (!6) + ((6) | (6)), (!6) - ((!6) - (6)), (!6) ^ ((!6) + (6)), (!6) ^ ((!6) ^ (6)), (!6) ^ ((!6) | (6)), (!6) ^ ((6) % (fac(6))), (!6) ^ ((6) & (6)), (!6) ^ ((6) + (!6)), (!6) ^ ((6) - (!6)), (!6) ^ ((6) << (!6)), (!6) ^ ((6) >> (!6)), (!6) ^ ((6) ^ (!6)), (!6) ^ ((6) | (!6)), (!6) ^ ((6) | (6)), (!6) | ((!6) + (6)), (!6) | ((!6) ^ (6)), (!6) | ((!6) | (6)), (!6) | ((6) % (fac(6))), (!6) | ((6) & (6)), (!6) | ((6) + (!6)), (!6) | ((6) - (!6)), (!6) | ((6) << (!6)), (!6) | ((6) >> (!6)), (!6) | ((6) ^ (!6)), (!6) | ((6) | (!6)), (!6) | ((6) | (6)), ((!6) % (6)) + (6), ((!6) % (6)) ^ (6), ((!6) % (6)) | (6), ((!6) % (fac(6))) + (6), ((!6) % (fac(6))) ^ (6), ((!6) % (fac(6))) | (6), ((!6) & (!6)) + (6), ((!6) & (!6)) ^ (6), ((!6) & (!6)) | (6), ((!6) & (6)) + (6), ((!6) & (6)) ^ (6), ((!6) & (6)) | (6), ((!6) & (fac(6))) + (6), ((!6) & (fac(6))) ^ (6), ((!6) & (fac(6))) | (6), ((!6) * (!6)) + (6), ((!6) * (!6)) ^ (6), ((!6) * (!6)) | (6), ((!6) * (6)) + (6), ((!6) * (6)) ^ (6), ((!6) * (6)) | (6), ((!6) * (fac(6))) + (6), ((!6) * (fac(6))) ^ (6), ((!6) * (fac(6))) | (6), ((!6) ** (!6)) * (6), ((!6) ** (6)) + (6), ((!6) ** (6)) ^ (6), ((!6) ** (6)) | (6), ((!6) ** (fac(6))) + (6), ((!6) ** (fac(6))) ^ (6), ((!6) ** (fac(6))) | (6), ((!6) + (!6)) + (6), ((!6) + (!6)) ^ (6), ((!6) + (!6)) | (6), ((!6) + (6)) % (fac(6)), ((!6) + (6)) & (6), ((!6) + (6)) + (!6), ((!6) + (6)) - (!6), ((!6) + (6)) << (!6), ((!6) + (6)) >> (!6), ((!6) + (6)) ^ (!6), ((!6) + (6)) | (!6), ((!6) + (6)) | (6), ((!6) - (!6)) + (6), ((!6) - (!6)) ^ (6), ((!6) - (!6)) | (6), ((!6) / (6)) + (6), ((!6) / (6)) ^ (6), ((!6) / (6)) | (6), ((!6) / (fac(6))) + (6), ((!6) / (fac(6))) ^ (6), ((!6) / (fac(6))) | (6), ((!6) << (!6)) + (6), ((!6) << (!6)) ^ (6), ((!6) << (!6)) | (6), ((!6) << (6)) + (6), ((!6) << (6)) ^ (6), ((!6) << (6)) | (6), ((!6) << (fac(6))) + (6), ((!6) << (fac(6))) ^ (6), ((!6) << (fac(6))) | (6), ((!6) >> (!6)) + (6), ((!6) >> (!6)) ^ (6), ((!6) >> (!6)) | (6), ((!6) >> (6)) + (6), ((!6) >> (6)) ^ (6), ((!6) >> (6)) | (6), ((!6) >> (fac(6))) + (6), ((!6) >> (fac(6))) ^ (6), ((!6) >> (fac(6))) | (6), ((!6) ^ (!6)) + (6), ((!6) ^ (!6)) ^ (6), ((!6) ^ (!6)) | (6), ((!6) ^ (6)) % (fac(6)), ((!6) ^ (6)) & (6), ((!6) ^ (6)) + (!6), ((!6) ^ (6)) - (!6), ((!6) ^ (6)) << (!6), ((!6) ^ (6)) >> (!6), ((!6) ^ (6)) ^ (!6), ((!6) ^ (6)) | (!6), ((!6) ^ (6)) | (6), ((!6) | (!6)) + (6), ((!6) | (!6)) ^ (6), ((!6) | (!6)) | (6), ((!6) | (6)) % (fac(6)), ((!6) | (6)) & (6), ((!6) | (6)) + (!6), ((!6) | (6)) - (!6), ((!6) | (6)) << (!6), ((!6) | (6)) >> (!6), ((!6) | (6)) ^ (!6), ((!6) | (6)) | (!6), ((!6) | (6)) | (6), ((6) % (6)) + (6), ((6) % (6)) ^ (6), ((6) % (6)) | (6), ((6) % (fac(6))) % (fac(6)), ((6) % (fac(6))) & (6), ((6) % (fac(6))) + (!6), ((6) % (fac(6))) - (!6), ((6) % (fac(6))) << (!6), ((6) % (fac(6))) >> (!6), ((6) % (fac(6))) ^ (!6), ((6) % (fac(6))) | (!6), ((6) % (fac(6))) | (6), ((6) & (!6)) + (6), ((6) & (!6)) ^ (6), ((6) & (!6)) | (6), ((6) & (6)) % (fac(6)), ((6) & (6)) & (6), ((6) & (6)) + (!6), ((6) & (6)) - (!6), ((6) & (6)) << (!6), ((6) & (6)) >> (!6), ((6) & (6)) ^ (!6), ((6) & (6)) | (!6), ((6) & (6)) | (6), ((6) & (fac(6))) + (6), ((6) & (fac(6))) ^ (6), ((6) & (fac(6))) | (6), ((6) * (!6)) + (6), ((6) * (!6)) ^ (6), ((6) * (!6)) | (6), ((6) * (6)) / (6), ((6) * (fac(6))) / (fac(6)), ((6) ** (!6)) * (6), ((6) + (!6)) % (fac(6)), ((6) + (!6)) & (6), ((6) + (!6)) + (!6), ((6) + (!6)) - (!6), ((6) + (!6)) << (!6), ((6) + (!6)) >> (!6), ((6) + (!6)) ^ (!6), ((6) + (!6)) | (!6), ((6) + (!6)) | (6), ((6) + (6)) - (6), ((6) + (fac(6))) % (fac(6)), ((6) + (fac(6))) & (6), ((6) + (fac(6))) - (fac(6)), ((6) + (fac(6))) ^ (fac(6)), ((6) - (!6)) % (fac(6)), ((6) - (!6)) & (6), ((6) - (!6)) + (!6), ((6) - (!6)) - (!6), ((6) - (!6)) << (!6), ((6) - (!6)) >> (!6), ((6) - (!6)) ^ (!6), ((6) - (!6)) | (!6), ((6) - (!6)) | (6), ((6) - (6)) + (6), ((6) - (6)) ^ (6), ((6) - (6)) | (6), ((6) - (fac(6))) & (6), ((6) - (fac(6))) + (fac(6)), ((6) / (6)) * (6), ((6) << (!6)) % (fac(6)), ((6) << (!6)) & (6), ((6) << (!6)) + (!6), ((6) << (!6)) - (!6), ((6) << (!6)) << (!6), ((6) << (!6)) >> (!6), ((6) << (!6)) ^ (!6), ((6) << (!6)) | (!6), ((6) << (!6)) | (6), ((6) << (6)) >> (6), ((6) << (fac(6))) >> (fac(6)), ((6) >> (!6)) % (fac(6)), ((6) >> (!6)) & (6), ((6) >> (!6)) + (!6), ((6) >> (!6)) - (!6), ((6) >> (!6)) << (!6), ((6) >> (!6)) >> (!6), ((6) >> (!6)) ^ (!6), ((6) >> (!6)) | (!6), ((6) >> (!6)) | (6), ((6) >> (6)) + (6), ((6) >> (6)) ^ (6), ((6) >> (6)) | (6), ((6) >> (fac(6))) + (6), ((6) >> (fac(6))) ^ (6), ((6) >> (fac(6))) | (6), ((6) ^ (!6)) % (fac(6)), ((6) ^ (!6)) & (6), ((6) ^ (!6)) + (!6), ((6) ^ (!6)) - (!6), ((6) ^ (!6)) << (!6), ((6) ^ (!6)) >> (!6), ((6) ^ (!6)) ^ (!6), ((6) ^ (!6)) | (!6), ((6) ^ (!6)) | (6), ((6) ^ (6)) + (6), ((6) ^ (6)) ^ (6), ((6) ^ (6)) | (6), ((6) ^ (fac(6))) % (fac(6)), ((6) ^ (fac(6))) & (6), ((6) ^ (fac(6))) - (fac(6)), ((6) ^ (fac(6))) ^ (fac(6)), ((6) | (!6)) % (fac(6)), ((6) | (!6)) & (6), ((6) | (!6)) + (!6), ((6) | (!6)) - (!6), ((6) | (!6)) << (!6), ((6) | (!6)) >> (!6), ((6) | (!6)) ^ (!6), ((6) | (!6)) | (!6), ((6) | (!6)) | (6), ((6) | (6)) % (fac(6)), ((6) | (6)) & (6), ((6) | (6)) + (!6), ((6) | (6)) - (!6), ((6) | (6)) << (!6), ((6) | (6)) >> (!6), ((6) | (6)) ^ (!6), ((6) | (6)) | (!6), ((6) | (6)) | (6), ((6) | (fac(6))) % (fac(6)), ((6) | (fac(6))) & (6), ((6) | (fac(6))) - (fac(6)), ((6) | (fac(6))) ^ (fac(6)), ((fac(6)) % (6)) + (6), ((fac(6)) % (6)) ^ (6), ((fac(6)) % (6)) | (6), ((fac(6)) % (fac(6))) + (6), ((fac(6)) % (fac(6))) ^ (6), ((fac(6)) % (fac(6))) | (6), ((fac(6)) & (!6)) + (6), ((fac(6)) & (!6)) ^ (6), ((fac(6)) & (!6)) | (6), ((fac(6)) & (6)) + (6), ((fac(6)) & (6)) ^ (6), ((fac(6)) & (6)) | (6), ((fac(6)) * (!6)) + (6), ((fac(6)) * (!6)) ^ (6), ((fac(6)) * (!6)) | (6), ((fac(6)) * (6)) / (fac(6)), ((fac(6)) ** (!6)) * (6), ((fac(6)) + (6)) % (fac(6)), ((fac(6)) + (6)) & (6), ((fac(6)) + (6)) - (fac(6)), ((fac(6)) + (6)) ^ (fac(6)), ((fac(6)) - (fac(6))) + (6), ((fac(6)) - (fac(6))) ^ (6), ((fac(6)) - (fac(6))) | (6), ((fac(6)) / (fac(6))) * (6), ((fac(6)) >> (fac(6))) + (6), ((fac(6)) >> (fac(6))) ^ (6), ((fac(6)) >> (fac(6))) | (6), ((fac(6)) ^ (6)) % (fac(6)), ((fac(6)) ^ (6)) & (6), ((fac(6)) ^ (6)) - (fac(6)), ((fac(6)) ^ (6)) ^ (fac(6)), ((fac(6)) ^ (fac(6))) + (6), ((fac(6)) ^ (fac(6))) ^ (6), ((fac(6)) ^ (fac(6))) | (6), ((fac(6)) | (6)) % (fac(6)), ((fac(6)) | (6)) & (6), ((fac(6)) | (6)) - (fac(6)), ((fac(6)) | (6)) ^ (fac(6)), (6) % ((!6) + (fac(6))), (6) % ((!6) - (fac(6))), (6) % ((!6) ^ (fac(6))), (6) % ((!6) | (fac(6))), (6) % ((6) * (6)), (6) % ((6) * (fac(6))), (6) % ((6) ** (6)), (6) % ((6) + (6)), (6) % ((6) + (fac(6))), (6) % ((6) - (fac(6))), (6) % ((6) << (6)), (6) % ((6) << (fac(6))), (6) % ((6) ^ (fac(6))), (6) % ((6) | (fac(6))), (6) % ((fac(6)) & (fac(6))), (6) % ((fac(6)) * (6)), (6) % ((fac(6)) * (fac(6))), (6) % ((fac(6)) ** (6)), (6) % ((fac(6)) + (!6)), (6) % ((fac(6)) + (6)), (6) % ((fac(6)) + (fac(6))), (6) % ((fac(6)) - (!6)), (6) % ((fac(6)) - (6)), (6) % ((fac(6)) / (6)), (6) % ((fac(6)) << (!6)), (6) % ((fac(6)) << (6)), (6) % ((fac(6)) << (fac(6))), (6) % ((fac(6)) >> (!6)), (6) % ((fac(6)) >> (6)), (6) % ((fac(6)) ^ (!6)), (6) % ((fac(6)) ^ (6)), (6) % ((fac(6)) | (!6)), (6) % ((fac(6)) | (6)), (6) % ((fac(6)) | (fac(6))), (6) & ((!6) + (6)), (6) & ((!6) ^ (6)), (6) & ((!6) | (6)), (6) & ((6) % (fac(6))), (6) & ((6) & (6)), (6) & ((6) + (!6)), (6) & ((6) + (fac(6))), (6) & ((6) - (!6)), (6) & ((6) - (fac(6))), (6) & ((6) << (!6)), (6) & ((6) >> (!6)), (6) & ((6) ^ (!6)), (6) & ((6) ^ (fac(6))), (6) & ((6) | (!6)), (6) & ((6) | (6)), (6) & ((6) | (fac(6))), (6) & ((fac(6)) + (6)), (6) & ((fac(6)) ^ (6)), (6) & ((fac(6)) | (6)), (6) * ((!6) ** (!6)), (6) * ((6) ** (!6)), (6) * ((6) / (6)), (6) * ((fac(6)) ** (!6)), (6) * ((fac(6)) / (fac(6))), (6) ** ((!6) ** (!6)), (6) ** ((6) ** (!6)), (6) ** ((6) / (6)), (6) ** ((fac(6)) ** (!6)), (6) ** ((fac(6)) / (fac(6))), (6) + ((!6) % (6)), (6) + ((!6) % (fac(6))), (6) + ((!6) & (!6)), (6) + ((!6) & (6)), (6) + ((!6) & (fac(6))), (6) + ((!6) * (!6)), (6) + ((!6) * (6)), (6) + ((!6) * (fac(6))), (6) + ((!6) ** (6)), (6) + ((!6) ** (fac(6))), (6) + ((!6) + (!6)), (6) + ((!6) - (!6)), (6) + ((!6) / (6)), (6) + ((!6) / (fac(6))), (6) + ((!6) << (!6)), (6) + ((!6) << (6)), (6) + ((!6) << (fac(6))), (6) + ((!6) >> (!6)), (6) + ((!6) >> (6)), (6) + ((!6) >> (fac(6))), (6) + ((!6) ^ (!6)), (6) + ((!6) | (!6)), (6) + ((6) % (6)), (6) + ((6) & (!6)), (6) + ((6) & (fac(6))), (6) + ((6) * (!6)), (6) + ((6) - (6)), (6) + ((6) >> (6)), (6) + ((6) >> (fac(6))), (6) + ((6) ^ (6)), (6) + ((fac(6)) % (6)), (6) + ((fac(6)) % (fac(6))), (6) + ((fac(6)) & (!6)), (6) + ((fac(6)) & (6)), (6) + ((fac(6)) * (!6)), (6) + ((fac(6)) - (fac(6))), (6) + ((fac(6)) >> (fac(6))), (6) + ((fac(6)) ^ (fac(6))), (6) - ((!6) % (6)), (6) - ((!6) % (fac(6))), (6) - ((!6) & (!6)), (6) - ((!6) & (6)), (6) - ((!6) & (fac(6))), (6) - ((!6) * (!6)), (6) - ((!6) * (6)), (6) - ((!6) * (fac(6))), (6) - ((!6) ** (6)), (6) - ((!6) ** (fac(6))), (6) - ((!6) + (!6)), (6) - ((!6) - (!6)), (6) - ((!6) / (6)), (6) - ((!6) / (fac(6))), (6) - ((!6) << (!6)), (6) - ((!6) << (6)), (6) - ((!6) << (fac(6))), (6) - ((!6) >> (!6)), (6) - ((!6) >> (6)), (6) - ((!6) >> (fac(6))), (6) - ((!6) ^ (!6)), (6) - ((!6) | (!6)), (6) - ((6) % (6)), (6) - ((6) & (!6)), (6) - ((6) & (fac(6))), (6) - ((6) * (!6)), (6) - ((6) - (6)), (6) - ((6) >> (6)), (6) - ((6) >> (fac(6))), (6) - ((6) ^ (6)), (6) - ((fac(6)) % (6)), (6) - ((fac(6)) % (fac(6))), (6) - ((fac(6)) & (!6)), (6) - ((fac(6)) & (6)), (6) - ((fac(6)) * (!6)), (6) - ((fac(6)) - (fac(6))), (6) - ((fac(6)) >> (fac(6))), (6) - ((fac(6)) ^ (fac(6))), (6) / ((!6) ** (!6)), (6) / ((6) ** (!6)), (6) / ((6) / (6)), (6) / ((fac(6)) ** (!6)), (6) / ((fac(6)) / (fac(6))), (6) << ((!6) % (6)), (6) << ((!6) % (fac(6))), (6) << ((!6) & (!6)), (6) << ((!6) & (6)), (6) << ((!6) & (fac(6))), (6) << ((!6) * (!6)), (6) << ((!6) * (6)), (6) << ((!6) * (fac(6))), (6) << ((!6) ** (6)), (6) << ((!6) ** (fac(6))), (6) << ((!6) + (!6)), (6) << ((!6) - (!6)), (6) << ((!6) / (6)), (6) << ((!6) / (fac(6))), (6) << ((!6) << (!6)), (6) << ((!6) << (6)), (6) << ((!6) << (fac(6))), (6) << ((!6) >> (!6)), (6) << ((!6) >> (6)), (6) << ((!6) >> (fac(6))), (6) << ((!6) ^ (!6)), (6) << ((!6) | (!6)), (6) << ((6) % (6)), (6) << ((6) & (!6)), (6) << ((6) & (fac(6))), (6) << ((6) * (!6)), (6) << ((6) ** (6)), (6) << ((6) - (6)), (6) << ((6) << (6)), (6) << ((6) << (fac(6))), (6) << ((6) >> (6)), (6) << ((6) >> (fac(6))), (6) << ((6) ^ (6)), (6) << ((fac(6)) % (6)), (6) << ((fac(6)) % (fac(6))), (6) << ((fac(6)) & (!6)), (6) << ((fac(6)) & (6)), (6) << ((fac(6)) * (!6)), (6) << ((fac(6)) * (fac(6))), (6) << ((fac(6)) ** (6)), (6) << ((fac(6)) - (fac(6))), (6) << ((fac(6)) << (6)), (6) << ((fac(6)) << (fac(6))), (6) << ((fac(6)) >> (fac(6))), (6) << ((fac(6)) ^ (fac(6))), (6) >> ((!6) % (6)), (6) >> ((!6) % (fac(6))), (6) >> ((!6) & (!6)), (6) >> ((!6) & (6)), (6) >> ((!6) & (fac(6))), (6) >> ((!6) * (!6)), (6) >> ((!6) * (6)), (6) >> ((!6) * (fac(6))), (6) >> ((!6) ** (6)), (6) >> ((!6) ** (fac(6))), (6) >> ((!6) + (!6)), (6) >> ((!6) - (!6)), (6) >> ((!6) / (6)), (6) >> ((!6) / (fac(6))), (6) >> ((!6) << (!6)), (6) >> ((!6) << (6)), (6) >> ((!6) << (fac(6))), (6) >> ((!6) >> (!6)), (6) >> ((!6) >> (6)), (6) >> ((!6) >> (fac(6))), (6) >> ((!6) ^ (!6)), (6) >> ((!6) | (!6)), (6) >> ((6) % (6)), (6) >> ((6) & (!6)), (6) >> ((6) & (fac(6))), (6) >> ((6) * (!6)), (6) >> ((6) ** (6)), (6) >> ((6) - (6)), (6) >> ((6) << (6)), (6) >> ((6) << (fac(6))), (6) >> ((6) >> (6)), (6) >> ((6) >> (fac(6))), (6) >> ((6) ^ (6)), (6) >> ((fac(6)) % (6)), (6) >> ((fac(6)) % (fac(6))), (6) >> ((fac(6)) & (!6)), (6) >> ((fac(6)) & (6)), (6) >> ((fac(6)) * (!6)), (6) >> ((fac(6)) * (fac(6))), (6) >> ((fac(6)) ** (6)), (6) >> ((fac(6)) - (fac(6))), (6) >> ((fac(6)) << (6)), (6) >> ((fac(6)) << (fac(6))), (6) >> ((fac(6)) >> (fac(6))), (6) >> ((fac(6)) ^ (fac(6))), (6) ^ ((!6) % (6)), (6) ^ ((!6) % (fac(6))), (6) ^ ((!6) & (!6)), (6) ^ ((!6) & (6)), (6) ^ ((!6) & (fac(6))), (6) ^ ((!6) * (!6)), (6) ^ ((!6) * (6)), (6) ^ ((!6) * (fac(6))), (6) ^ ((!6) ** (6)), (6) ^ ((!6) ** (fac(6))), (6) ^ ((!6) + (!6)), (6) ^ ((!6) - (!6)), (6) ^ ((!6) / (6)), (6) ^ ((!6) / (fac(6))), (6) ^ ((!6) << (!6)), (6) ^ ((!6) << (6)), (6) ^ ((!6) << (fac(6))), (6) ^ ((!6) >> (!6)), (6) ^ ((!6) >> (6)), (6) ^ ((!6) >> (fac(6))), (6) ^ ((!6) ^ (!6)), (6) ^ ((!6) | (!6)), (6) ^ ((6) % (6)), (6) ^ ((6) & (!6)), (6) ^ ((6) & (fac(6))), (6) ^ ((6) * (!6)), (6) ^ ((6) - (6)), (6) ^ ((6) >> (6)), (6) ^ ((6) >> (fac(6))), (6) ^ ((6) ^ (6)), (6) ^ ((fac(6)) % (6)), (6) ^ ((fac(6)) % (fac(6))), (6) ^ ((fac(6)) & (!6)), (6) ^ ((fac(6)) & (6)), (6) ^ ((fac(6)) * (!6)), (6) ^ ((fac(6)) - (fac(6))), (6) ^ ((fac(6)) >> (fac(6))), (6) ^ ((fac(6)) ^ (fac(6))), (6) | ((!6) % (6)), (6) | ((!6) % (fac(6))), (6) | ((!6) & (!6)), (6) | ((!6) & (6)), (6) | ((!6) & (fac(6))), (6) | ((!6) * (!6)), (6) | ((!6) * (6)), (6) | ((!6) * (fac(6))), (6) | ((!6) ** (6)), (6) | ((!6) ** (fac(6))), (6) | ((!6) + (!6)), (6) | ((!6) + (6)), (6) | ((!6) - (!6)), (6) | ((!6) / (6)), (6) | ((!6) / (fac(6))), (6) | ((!6) << (!6)), (6) | ((!6) << (6)), (6) | ((!6) << (fac(6))), (6) | ((!6) >> (!6)), (6) | ((!6) >> (6)), (6) | ((!6) >> (fac(6))), (6) | ((!6) ^ (!6)), (6) | ((!6) ^ (6)), (6) | ((!6) | (!6)), (6) | ((!6) | (6)), (6) | ((6) % (6)), (6) | ((6) % (fac(6))), (6) | ((6) & (!6)), (6) | ((6) & (6)), (6) | ((6) & (fac(6))), (6) | ((6) * (!6)), (6) | ((6) + (!6)), (6) | ((6) - (!6)), (6) | ((6) - (6)), (6) | ((6) << (!6)), (6) | ((6) >> (!6)), (6) | ((6) >> (6)), (6) | ((6) >> (fac(6))), (6) | ((6) ^ (!6)), (6) | ((6) ^ (6)), (6) | ((6) | (!6)), (6) | ((6) | (6)), (6) | ((fac(6)) % (6)), (6) | ((fac(6)) % (fac(6))), (6) | ((fac(6)) & (!6)), (6) | ((fac(6)) & (6)), (6) | ((fac(6)) * (!6)), (6) | ((fac(6)) - (fac(6))), (6) | ((fac(6)) >> (fac(6))), (6) | ((fac(6)) ^ (fac(6))), (fac(6)) % ((6) - (fac(6))), (fac(6)) % ((fac(6)) - (6)), (fac(6)) + ((6) - (fac(6))), (fac(6)) - ((fac(6)) - (6)), (fac(6)) / ((fac(6)) / (6)), (fac(6)) ^ ((6) + (fac(6))), (fac(6)) ^ ((6) ^ (fac(6))), (fac(6)) ^ ((6) | (fac(6))), (fac(6)) ^ ((fac(6)) + (6)), (fac(6)) ^ ((fac(6)) ^ (6)), (fac(6)) ^ ((fac(6)) | (6)), ].every((v) => v === 6); 7 1 -ansSet.size() = 9 +ansSet.size() = 18 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; -[((7) + (7)) & (7), ((7) / (7)) ^ (7), ((fac(7)) / (7)) % (7), ((fac(7)) / (fac(7))) ^ (7), (7) & ((7) + (7)), (7) - ((7) / (7)), (7) - ((fac(7)) / (fac(7))), (7) ^ ((7) / (7)), (7) ^ ((fac(7)) / (fac(7))), ].every((v) => v === 6); +[((!7) ** (!7)) ^ (7), ((7) ** (!7)) ^ (7), ((7) + (7)) & (7), ((7) / (7)) ^ (7), ((fac(7)) ** (!7)) ^ (7), ((fac(7)) / (7)) % (7), ((fac(7)) / (fac(7))) ^ (7), (7) & ((7) + (7)), (7) - ((!7) ** (!7)), (7) - ((7) ** (!7)), (7) - ((7) / (7)), (7) - ((fac(7)) ** (!7)), (7) - ((fac(7)) / (fac(7))), (7) ^ ((!7) ** (!7)), (7) ^ ((7) ** (!7)), (7) ^ ((7) / (7)), (7) ^ ((fac(7)) ** (!7)), (7) ^ ((fac(7)) / (fac(7))), ].every((v) => v === 6); 8 0 ansSet.size() = 0 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; [].every((v) => v === 6); 9 1 -ansSet.size() = 46 +ansSet.size() = 108 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; -[((9) % (fac(9))) - (sqrt(9)), ((9) & (9)) - (sqrt(9)), ((9) + (9)) / (sqrt(9)), ((9) - (sqrt(9))) % (9), ((9) - (sqrt(9))) % (fac(9)), ((9) - (sqrt(9))) << (fac(9)), ((9) - (sqrt(9))) >> (fac(9)), ((9) / (sqrt(9))) + (sqrt(9)), ((9) << (fac(9))) - (sqrt(9)), ((9) >> (fac(9))) - (sqrt(9)), ((9) | (9)) - (sqrt(9)), ((fac(9)) - (sqrt(9))) % (9), ((fac(9)) >> (9)) % (9), ((sqrt(9)) % (9)) + (sqrt(9)), ((sqrt(9)) % (fac(9))) + (sqrt(9)), ((sqrt(9)) & (sqrt(9))) + (sqrt(9)), ((sqrt(9)) * (sqrt(9))) - (sqrt(9)), ((sqrt(9)) + (sqrt(9))) % (9), ((sqrt(9)) + (sqrt(9))) % (fac(9)), ((sqrt(9)) + (sqrt(9))) << (fac(9)), ((sqrt(9)) + (sqrt(9))) >> (fac(9)), ((sqrt(9)) << (9)) % (9), ((sqrt(9)) << (fac(9))) + (sqrt(9)), ((sqrt(9)) << (sqrt(9))) % (9), ((sqrt(9)) >> (fac(9))) + (sqrt(9)), ((sqrt(9)) | (sqrt(9))) + (sqrt(9)), (9) - ((9) / (sqrt(9))), (9) - ((sqrt(9)) % (9)), (9) - ((sqrt(9)) % (fac(9))), (9) - ((sqrt(9)) & (sqrt(9))), (9) - ((sqrt(9)) << (fac(9))), (9) - ((sqrt(9)) >> (fac(9))), (9) - ((sqrt(9)) | (sqrt(9))), (sqrt(9)) + ((9) / (sqrt(9))), (sqrt(9)) + ((sqrt(9)) % (9)), (sqrt(9)) + ((sqrt(9)) % (fac(9))), (sqrt(9)) + ((sqrt(9)) & (sqrt(9))), (sqrt(9)) + ((sqrt(9)) << (fac(9))), (sqrt(9)) + ((sqrt(9)) >> (fac(9))), (sqrt(9)) + ((sqrt(9)) | (sqrt(9))), (sqrt(9)) << ((9) & (sqrt(9))), (sqrt(9)) << ((9) / (9)), (sqrt(9)) << ((9) >> (sqrt(9))), (sqrt(9)) << ((fac(9)) / (fac(9))), (sqrt(9)) << ((sqrt(9)) & (9)), (sqrt(9)) << ((sqrt(9)) / (sqrt(9))), ].every((v) => v === 6); +[(!9) + ((9) - (sqrt(9))), (!9) + ((sqrt(9)) + (sqrt(9))), (!9) - ((sqrt(9)) - (9)), (!9) ^ ((9) - (sqrt(9))), (!9) ^ ((sqrt(9)) + (sqrt(9))), (!9) | ((9) - (sqrt(9))), (!9) | ((sqrt(9)) + (sqrt(9))), ((!9) + (9)) - (sqrt(9)), ((!9) + (sqrt(9))) + (sqrt(9)), ((!9) - (sqrt(9))) + (9), ((!9) ^ (9)) - (sqrt(9)), ((!9) ^ (sqrt(9))) + (sqrt(9)), ((!9) | (9)) - (sqrt(9)), ((!9) | (sqrt(9))) + (sqrt(9)), ((9) % (fac(9))) - (sqrt(9)), ((9) & (9)) - (sqrt(9)), ((9) + (!9)) - (sqrt(9)), ((9) + (9)) / (sqrt(9)), ((9) - (!9)) - (sqrt(9)), ((9) - (sqrt(9))) % (9), ((9) - (sqrt(9))) % (fac(9)), ((9) - (sqrt(9))) + (!9), ((9) - (sqrt(9))) - (!9), ((9) - (sqrt(9))) << (!9), ((9) - (sqrt(9))) << (fac(9)), ((9) - (sqrt(9))) >> (!9), ((9) - (sqrt(9))) >> (fac(9)), ((9) - (sqrt(9))) ^ (!9), ((9) - (sqrt(9))) | (!9), ((9) / (sqrt(9))) + (sqrt(9)), ((9) << (!9)) - (sqrt(9)), ((9) << (fac(9))) - (sqrt(9)), ((9) >> (!9)) - (sqrt(9)), ((9) >> (fac(9))) - (sqrt(9)), ((9) ^ (!9)) - (sqrt(9)), ((9) | (!9)) - (sqrt(9)), ((9) | (9)) - (sqrt(9)), ((fac(9)) - (sqrt(9))) % (9), ((fac(9)) >> (9)) % (9), ((sqrt(9)) % (9)) + (sqrt(9)), ((sqrt(9)) % (fac(9))) + (sqrt(9)), ((sqrt(9)) & (sqrt(9))) + (sqrt(9)), ((sqrt(9)) * (sqrt(9))) - (sqrt(9)), ((sqrt(9)) + (!9)) + (sqrt(9)), ((sqrt(9)) + (sqrt(9))) % (9), ((sqrt(9)) + (sqrt(9))) % (fac(9)), ((sqrt(9)) + (sqrt(9))) + (!9), ((sqrt(9)) + (sqrt(9))) - (!9), ((sqrt(9)) + (sqrt(9))) << (!9), ((sqrt(9)) + (sqrt(9))) << (fac(9)), ((sqrt(9)) + (sqrt(9))) >> (!9), ((sqrt(9)) + (sqrt(9))) >> (fac(9)), ((sqrt(9)) + (sqrt(9))) ^ (!9), ((sqrt(9)) + (sqrt(9))) | (!9), ((sqrt(9)) - (!9)) + (sqrt(9)), ((sqrt(9)) << (!9)) + (sqrt(9)), ((sqrt(9)) << (9)) % (9), ((sqrt(9)) << (fac(9))) + (sqrt(9)), ((sqrt(9)) << (sqrt(9))) % (9), ((sqrt(9)) >> (!9)) + (sqrt(9)), ((sqrt(9)) >> (fac(9))) + (sqrt(9)), ((sqrt(9)) ^ (!9)) + (sqrt(9)), ((sqrt(9)) | (!9)) + (sqrt(9)), ((sqrt(9)) | (sqrt(9))) + (sqrt(9)), (9) + ((!9) - (sqrt(9))), (9) - ((!9) + (sqrt(9))), (9) - ((!9) ^ (sqrt(9))), (9) - ((!9) | (sqrt(9))), (9) - ((9) / (sqrt(9))), (9) - ((sqrt(9)) % (9)), (9) - ((sqrt(9)) % (fac(9))), (9) - ((sqrt(9)) & (sqrt(9))), (9) - ((sqrt(9)) + (!9)), (9) - ((sqrt(9)) - (!9)), (9) - ((sqrt(9)) << (!9)), (9) - ((sqrt(9)) << (fac(9))), (9) - ((sqrt(9)) >> (!9)), (9) - ((sqrt(9)) >> (fac(9))), (9) - ((sqrt(9)) ^ (!9)), (9) - ((sqrt(9)) | (!9)), (9) - ((sqrt(9)) | (sqrt(9))), (sqrt(9)) + ((!9) + (sqrt(9))), (sqrt(9)) + ((!9) ^ (sqrt(9))), (sqrt(9)) + ((!9) | (sqrt(9))), (sqrt(9)) + ((9) / (sqrt(9))), (sqrt(9)) + ((sqrt(9)) % (9)), (sqrt(9)) + ((sqrt(9)) % (fac(9))), (sqrt(9)) + ((sqrt(9)) & (sqrt(9))), (sqrt(9)) + ((sqrt(9)) + (!9)), (sqrt(9)) + ((sqrt(9)) - (!9)), (sqrt(9)) + ((sqrt(9)) << (!9)), (sqrt(9)) + ((sqrt(9)) << (fac(9))), (sqrt(9)) + ((sqrt(9)) >> (!9)), (sqrt(9)) + ((sqrt(9)) >> (fac(9))), (sqrt(9)) + ((sqrt(9)) ^ (!9)), (sqrt(9)) + ((sqrt(9)) | (!9)), (sqrt(9)) + ((sqrt(9)) | (sqrt(9))), (sqrt(9)) - ((!9) - (sqrt(9))), (sqrt(9)) << ((!9) ** (!9)), (sqrt(9)) << ((9) & (sqrt(9))), (sqrt(9)) << ((9) ** (!9)), (sqrt(9)) << ((9) / (9)), (sqrt(9)) << ((9) >> (sqrt(9))), (sqrt(9)) << ((fac(9)) ** (!9)), (sqrt(9)) << ((fac(9)) / (fac(9))), (sqrt(9)) << ((sqrt(9)) & (9)), (sqrt(9)) << ((sqrt(9)) ** (!9)), (sqrt(9)) << ((sqrt(9)) / (sqrt(9))), ].every((v) => v === 6); 10 0 ansSet.size() = 0 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; [].every((v) => v === 6); +ansSetSizes = [0, 0, 152, 595, 361, 12, 629, 18, 0, 108, 0, ] diff --git a/apple_interview_24point_similar-v2.cpp b/apple_interview_24point_similar-v2.cpp index 7386728..7a7e250 100644 --- a/apple_interview_24point_similar-v2.cpp +++ b/apple_interview_24point_similar-v2.cpp @@ -5,7 +5,7 @@ using LL = int64_t; const int N = 3, M = 11; bool vis[N]; -int p3[N + 1]; +int p4[N + 1]; LL fac[M], a[N]; string ans[N]; set ansSet; @@ -63,6 +63,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsI + ") ** (" + tmpAnsJ + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsI + ") ** (" + tmpAnsJ + "))"; + if (dfs(dep + 1)) fl = true; + } } if (!powTooLarge(y, x)) { a[i] = round(pow(y, x)); @@ -79,6 +84,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsJ + ") ** (" + tmpAnsI + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsJ + ") ** (" + tmpAnsI + "))"; + if (dfs(dep + 1)) fl = true; + } } if (y && x % y == 0) { @@ -96,6 +106,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsI + ") / (" + tmpAnsJ + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsI + ") / (" + tmpAnsJ + "))"; + if (dfs(dep + 1)) fl = true; + } } if (x && y % x == 0) { a[i] = y / x; @@ -112,6 +127,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsJ + ") / (" + tmpAnsI + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsJ + ") / (" + tmpAnsI + "))"; + if (dfs(dep + 1)) fl = true; + } } LL originalTmpAI = a[i]; @@ -129,6 +149,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsI + ") * (" + tmpAnsJ + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsI + ") * (" + tmpAnsJ + "))"; + if (dfs(dep + 1)) fl = true; + } if (y) { a[i] = x % y; @@ -145,6 +170,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsI + ") % (" + tmpAnsJ + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsI + ") % (" + tmpAnsJ + "))"; + if (dfs(dep + 1)) fl = true; + } } if (x) { a[i] = y % x; @@ -161,6 +191,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsJ + ") % (" + tmpAnsI + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsJ + ") % (" + tmpAnsI + "))"; + if (dfs(dep + 1)) fl = true; + } } a[i] = x + y; @@ -177,6 +212,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsI + ") + (" + tmpAnsJ + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsI + ") + (" + tmpAnsJ + "))"; + if (dfs(dep + 1)) fl = true; + } a[i] = x - y; ans[i] = "(" + tmpAnsI + ") - (" + tmpAnsJ + ")"; @@ -192,6 +232,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsI + ") - (" + tmpAnsJ + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsI + ") - (" + tmpAnsJ + "))"; + if (dfs(dep + 1)) fl = true; + } a[i] = y - x; ans[i] = "(" + tmpAnsJ + ") - (" + tmpAnsI + ")"; if (dfs(dep + 1)) fl = true; @@ -206,6 +251,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsJ + ") - (" + tmpAnsI + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsJ + ") - (" + tmpAnsI + "))"; + if (dfs(dep + 1)) fl = true; + } a[i] = x << y; ans[i] = "(" + tmpAnsI + ") << (" + tmpAnsJ + ")"; @@ -221,6 +271,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsI + ") << (" + tmpAnsJ + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsI + ") << (" + tmpAnsJ + "))"; + if (dfs(dep + 1)) fl = true; + } a[i] = y << x; ans[i] = "(" + tmpAnsJ + ") << (" + tmpAnsI + ")"; if (dfs(dep + 1)) fl = true; @@ -235,6 +290,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsJ + ") << (" + tmpAnsI + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsJ + ") << (" + tmpAnsI + "))"; + if (dfs(dep + 1)) fl = true; + } a[i] = x >> y; ans[i] = "(" + tmpAnsI + ") >> (" + tmpAnsJ + ")"; @@ -250,6 +310,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsI + ") >> (" + tmpAnsJ + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsI + ") >> (" + tmpAnsJ + "))"; + if (dfs(dep + 1)) fl = true; + } a[i] = y >> x; ans[i] = "(" + tmpAnsJ + ") >> (" + tmpAnsI + ")"; if (dfs(dep + 1)) fl = true; @@ -264,6 +329,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsJ + ") >> (" + tmpAnsI + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsJ + ") >> (" + tmpAnsI + "))"; + if (dfs(dep + 1)) fl = true; + } a[i] = x & y; ans[i] = "(" + tmpAnsI + ") & (" + tmpAnsJ + ")"; @@ -279,6 +349,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsI + ") & (" + tmpAnsJ + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsI + ") & (" + tmpAnsJ + "))"; + if (dfs(dep + 1)) fl = true; + } a[i] = x | y; ans[i] = "(" + tmpAnsI + ") | (" + tmpAnsJ + ")"; @@ -294,6 +369,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsI + ") | (" + tmpAnsJ + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsI + ") | (" + tmpAnsJ + "))"; + if (dfs(dep + 1)) fl = true; + } a[i] = x ^ y; ans[i] = "(" + tmpAnsI + ") ^ (" + tmpAnsJ + ")"; @@ -309,6 +389,11 @@ bool dfs(int dep) { ans[i] = "sqrt((" + tmpAnsI + ") ^ (" + tmpAnsJ + "))"; if (dfs(dep + 1)) fl = true; } + if (true) { + a[i] = !originalTmpAI; + ans[i] = "!((" + tmpAnsI + ") ^ (" + tmpAnsJ + "))"; + if (dfs(dep + 1)) fl = true; + } a[i] = x; ans[i] = tmpAnsI; @@ -323,22 +408,26 @@ int main(int, char **) { file.open("apple_interview_24point_similar-v2.txt", ios::out); streambuf *stream_buffer_out = cout.rdbuf(); cout.rdbuf(file.rdbuf()); - for (int i = 0; i <= N; i++) p3[i] = i ? p3[i - 1] * 3 : 1; + for (int i = 0; i <= N; i++) p4[i] = i ? p4[i - 1] * 4 : 1; for (int i = 0; i < M; i++) fac[i] = i ? fac[i - 1] * i : 1; + vector ansSetSizes; for (int i = 0; i < M; i++) { ansSet.clear(); bool hasAns = false; - for (int S = 0; S < p3[N]; S++) { + for (int S = 0; S < p4[N]; S++) { for (int j = 0; j < N; j++) { int v = 0; string strV; - int sVal = S / p3[j] % 3; + int sVal = S / p4[j] % 4; if (sVal == 1 && isPerfectSquare(i)) { v = sqrt(i); strV = "sqrt(" + to_string(i) + ")"; } else if (sVal == 2) { v = fac[i]; strV = "fac(" + to_string(i) + ")"; + } else if (sVal == 3) { + v = !i; + strV = "!" + to_string(i); } else { v = i; strV = to_string(i); @@ -348,6 +437,7 @@ int main(int, char **) { } hasAns |= dfs(0); } + ansSetSizes.push_back(ansSet.size()); cout << i << " " << hasAns << endl; cout << "ansSet.size() = " << ansSet.size() << endl; string jsCode = @@ -358,6 +448,10 @@ int main(int, char **) { jsCode += "].every((v) => v === 6);"; cout << jsCode << endl; } + cout << "ansSetSizes = ["; + ostream_iterator out_iter(cout, ", "); + copy(ansSetSizes.cbegin(), ansSetSizes.cend(), out_iter); + cout << "]" << endl; cout.rdbuf(stream_buffer_out); file.close(); return 0; diff --git a/apple_interview_24point_similar-v2.txt b/apple_interview_24point_similar-v2.txt index 83550af..68e1ee7 100644 --- a/apple_interview_24point_similar-v2.txt +++ b/apple_interview_24point_similar-v2.txt @@ -1,44 +1,45 @@ 0 1 -ansSet.size() = 24 +ansSet.size() = 192 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; -[fac(((fac(0)) + (fac(0))) + (fac(0))), fac(((fac(0)) + (fac(0))) ^ (fac(0))), fac(((fac(0)) + (fac(0))) | (fac(0))), fac(((fac(0)) << (fac(0))) + (fac(0))), fac(((fac(0)) << (fac(0))) ^ (fac(0))), fac(((fac(0)) << (fac(0))) | (fac(0))), fac((fac((fac(0)) + (fac(0)))) + (fac(0))), fac((fac((fac(0)) + (fac(0)))) ^ (fac(0))), fac((fac((fac(0)) + (fac(0)))) | (fac(0))), fac((fac((fac(0)) << (fac(0)))) + (fac(0))), fac((fac((fac(0)) << (fac(0)))) ^ (fac(0))), fac((fac((fac(0)) << (fac(0)))) | (fac(0))), fac((fac(0)) + ((fac(0)) + (fac(0)))), fac((fac(0)) + ((fac(0)) << (fac(0)))), fac((fac(0)) + (fac((fac(0)) + (fac(0))))), fac((fac(0)) + (fac((fac(0)) << (fac(0))))), fac((fac(0)) ^ ((fac(0)) + (fac(0)))), fac((fac(0)) ^ ((fac(0)) << (fac(0)))), fac((fac(0)) ^ (fac((fac(0)) + (fac(0))))), fac((fac(0)) ^ (fac((fac(0)) << (fac(0))))), fac((fac(0)) | ((fac(0)) + (fac(0)))), fac((fac(0)) | ((fac(0)) << (fac(0)))), fac((fac(0)) | (fac((fac(0)) + (fac(0))))), fac((fac(0)) | (fac((fac(0)) << (fac(0))))), ].every((v) => v === 6); +[fac((!0) + ((!0) + (!0))), fac((!0) + ((!0) + (fac(0)))), fac((!0) + ((!0) << (!0))), fac((!0) + ((!0) << (fac(0)))), fac((!0) + ((fac(0)) + (!0))), fac((!0) + ((fac(0)) + (fac(0)))), fac((!0) + ((fac(0)) << (!0))), fac((!0) + ((fac(0)) << (fac(0)))), fac((!0) + (fac((!0) + (!0)))), fac((!0) + (fac((!0) + (fac(0))))), fac((!0) + (fac((!0) << (!0)))), fac((!0) + (fac((!0) << (fac(0))))), fac((!0) + (fac((fac(0)) + (!0)))), fac((!0) + (fac((fac(0)) + (fac(0))))), fac((!0) + (fac((fac(0)) << (!0)))), fac((!0) + (fac((fac(0)) << (fac(0))))), fac((!0) ^ ((!0) + (!0))), fac((!0) ^ ((!0) + (fac(0)))), fac((!0) ^ ((!0) << (!0))), fac((!0) ^ ((!0) << (fac(0)))), fac((!0) ^ ((fac(0)) + (!0))), fac((!0) ^ ((fac(0)) + (fac(0)))), fac((!0) ^ ((fac(0)) << (!0))), fac((!0) ^ ((fac(0)) << (fac(0)))), fac((!0) ^ (fac((!0) + (!0)))), fac((!0) ^ (fac((!0) + (fac(0))))), fac((!0) ^ (fac((!0) << (!0)))), fac((!0) ^ (fac((!0) << (fac(0))))), fac((!0) ^ (fac((fac(0)) + (!0)))), fac((!0) ^ (fac((fac(0)) + (fac(0))))), fac((!0) ^ (fac((fac(0)) << (!0)))), fac((!0) ^ (fac((fac(0)) << (fac(0))))), fac((!0) | ((!0) + (!0))), fac((!0) | ((!0) + (fac(0)))), fac((!0) | ((!0) << (!0))), fac((!0) | ((!0) << (fac(0)))), fac((!0) | ((fac(0)) + (!0))), fac((!0) | ((fac(0)) + (fac(0)))), fac((!0) | ((fac(0)) << (!0))), fac((!0) | ((fac(0)) << (fac(0)))), fac((!0) | (fac((!0) + (!0)))), fac((!0) | (fac((!0) + (fac(0))))), fac((!0) | (fac((!0) << (!0)))), fac((!0) | (fac((!0) << (fac(0))))), fac((!0) | (fac((fac(0)) + (!0)))), fac((!0) | (fac((fac(0)) + (fac(0))))), fac((!0) | (fac((fac(0)) << (!0)))), fac((!0) | (fac((fac(0)) << (fac(0))))), fac(((!0) + (!0)) + (!0)), fac(((!0) + (!0)) + (fac(0))), fac(((!0) + (!0)) ^ (!0)), fac(((!0) + (!0)) ^ (fac(0))), fac(((!0) + (!0)) | (!0)), fac(((!0) + (!0)) | (fac(0))), fac(((!0) + (fac(0))) + (!0)), fac(((!0) + (fac(0))) + (fac(0))), fac(((!0) + (fac(0))) ^ (!0)), fac(((!0) + (fac(0))) ^ (fac(0))), fac(((!0) + (fac(0))) | 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(!0)) | (!0)), fac(((fac(0)) << (!0)) | (fac(0))), fac(((fac(0)) << (fac(0))) + (!0)), fac(((fac(0)) << (fac(0))) + (fac(0))), fac(((fac(0)) << (fac(0))) ^ (!0)), fac(((fac(0)) << (fac(0))) ^ (fac(0))), fac(((fac(0)) << (fac(0))) | (!0)), fac(((fac(0)) << (fac(0))) | (fac(0))), fac((fac((!0) + (!0))) + (!0)), fac((fac((!0) + (!0))) + (fac(0))), fac((fac((!0) + (!0))) ^ (!0)), fac((fac((!0) + (!0))) ^ (fac(0))), fac((fac((!0) + (!0))) | (!0)), fac((fac((!0) + (!0))) | (fac(0))), fac((fac((!0) + (fac(0)))) + (!0)), fac((fac((!0) + (fac(0)))) + (fac(0))), fac((fac((!0) + (fac(0)))) ^ (!0)), fac((fac((!0) + (fac(0)))) ^ (fac(0))), fac((fac((!0) + (fac(0)))) | (!0)), fac((fac((!0) + (fac(0)))) | (fac(0))), fac((fac((!0) << (!0))) + (!0)), fac((fac((!0) << (!0))) + (fac(0))), fac((fac((!0) << (!0))) ^ (!0)), fac((fac((!0) << (!0))) ^ (fac(0))), fac((fac((!0) << (!0))) | (!0)), fac((fac((!0) << (!0))) | (fac(0))), fac((fac((!0) << (fac(0)))) + (!0)), fac((fac((!0) << (fac(0)))) + (fac(0))), fac((fac((!0) << (fac(0)))) ^ (!0)), fac((fac((!0) << (fac(0)))) ^ (fac(0))), fac((fac((!0) << (fac(0)))) | (!0)), fac((fac((!0) << (fac(0)))) | (fac(0))), fac((fac((fac(0)) + (!0))) + (!0)), fac((fac((fac(0)) + (!0))) + (fac(0))), fac((fac((fac(0)) + (!0))) ^ (!0)), fac((fac((fac(0)) + (!0))) ^ (fac(0))), fac((fac((fac(0)) + (!0))) | (!0)), fac((fac((fac(0)) + (!0))) | (fac(0))), fac((fac((fac(0)) + (fac(0)))) + (!0)), fac((fac((fac(0)) + (fac(0)))) + (fac(0))), fac((fac((fac(0)) + (fac(0)))) ^ (!0)), fac((fac((fac(0)) + (fac(0)))) ^ (fac(0))), fac((fac((fac(0)) + (fac(0)))) | (!0)), fac((fac((fac(0)) + (fac(0)))) | (fac(0))), fac((fac((fac(0)) << (!0))) + (!0)), fac((fac((fac(0)) << (!0))) + (fac(0))), fac((fac((fac(0)) << (!0))) ^ (!0)), fac((fac((fac(0)) << (!0))) ^ (fac(0))), fac((fac((fac(0)) << (!0))) | (!0)), fac((fac((fac(0)) << (!0))) | (fac(0))), fac((fac((fac(0)) << (fac(0)))) + (!0)), fac((fac((fac(0)) << (fac(0)))) + (fac(0))), fac((fac((fac(0)) << (fac(0)))) ^ (!0)), fac((fac((fac(0)) << (fac(0)))) ^ (fac(0))), fac((fac((fac(0)) << (fac(0)))) | (!0)), fac((fac((fac(0)) << (fac(0)))) | (fac(0))), fac((fac(0)) + ((!0) + (!0))), fac((fac(0)) + ((!0) + (fac(0)))), fac((fac(0)) + ((!0) << (!0))), fac((fac(0)) + ((!0) << (fac(0)))), fac((fac(0)) + ((fac(0)) + (!0))), fac((fac(0)) + ((fac(0)) + (fac(0)))), fac((fac(0)) + ((fac(0)) << (!0))), fac((fac(0)) + ((fac(0)) << (fac(0)))), fac((fac(0)) + (fac((!0) + (!0)))), fac((fac(0)) + (fac((!0) + (fac(0))))), fac((fac(0)) + (fac((!0) << (!0)))), fac((fac(0)) + (fac((!0) << (fac(0))))), fac((fac(0)) + (fac((fac(0)) + (!0)))), fac((fac(0)) + (fac((fac(0)) + (fac(0))))), fac((fac(0)) + (fac((fac(0)) << (!0)))), fac((fac(0)) + (fac((fac(0)) << (fac(0))))), fac((fac(0)) ^ ((!0) + (!0))), fac((fac(0)) ^ ((!0) + (fac(0)))), fac((fac(0)) ^ ((!0) << (!0))), fac((fac(0)) ^ ((!0) << (fac(0)))), fac((fac(0)) ^ ((fac(0)) + (!0))), fac((fac(0)) ^ ((fac(0)) + (fac(0)))), fac((fac(0)) ^ ((fac(0)) << (!0))), fac((fac(0)) ^ ((fac(0)) << (fac(0)))), fac((fac(0)) ^ (fac((!0) + (!0)))), fac((fac(0)) ^ (fac((!0) + (fac(0))))), fac((fac(0)) ^ (fac((!0) << (!0)))), fac((fac(0)) ^ (fac((!0) << (fac(0))))), fac((fac(0)) ^ (fac((fac(0)) + (!0)))), fac((fac(0)) ^ (fac((fac(0)) + (fac(0))))), fac((fac(0)) ^ (fac((fac(0)) << (!0)))), fac((fac(0)) ^ (fac((fac(0)) << (fac(0))))), fac((fac(0)) | ((!0) + (!0))), fac((fac(0)) | ((!0) + (fac(0)))), fac((fac(0)) | ((!0) << (!0))), fac((fac(0)) | ((!0) << (fac(0)))), fac((fac(0)) | ((fac(0)) + (!0))), fac((fac(0)) | ((fac(0)) + (fac(0)))), fac((fac(0)) | ((fac(0)) << (!0))), fac((fac(0)) | ((fac(0)) << (fac(0)))), fac((fac(0)) | (fac((!0) + (!0)))), fac((fac(0)) | (fac((!0) + (fac(0))))), fac((fac(0)) | (fac((!0) << (!0)))), fac((fac(0)) | (fac((!0) << (fac(0))))), fac((fac(0)) | (fac((fac(0)) + (!0)))), fac((fac(0)) | (fac((fac(0)) + (fac(0))))), fac((fac(0)) | (fac((fac(0)) << (!0)))), fac((fac(0)) | (fac((fac(0)) << (fac(0))))), ].every((v) => v === 6); 1 1 ansSet.size() = 648 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; [fac(((1) + (1)) + (1)), fac(((1) + (1)) + (fac(1))), fac(((1) + (1)) + (sqrt(1))), fac(((1) + (1)) ^ (1)), fac(((1) + (1)) ^ (fac(1))), fac(((1) + (1)) ^ (sqrt(1))), fac(((1) + (1)) | (1)), fac(((1) + (1)) | (fac(1))), fac(((1) + (1)) | (sqrt(1))), fac(((1) + (fac(1))) + (1)), fac(((1) + (fac(1))) + (fac(1))), fac(((1) + (fac(1))) + (sqrt(1))), fac(((1) + (fac(1))) ^ (1)), fac(((1) + (fac(1))) ^ (fac(1))), fac(((1) + (fac(1))) ^ (sqrt(1))), fac(((1) + (fac(1))) | (1)), fac(((1) + (fac(1))) | (fac(1))), fac(((1) + (fac(1))) | (sqrt(1))), fac(((1) + (sqrt(1))) + (1)), fac(((1) + (sqrt(1))) + (fac(1))), fac(((1) + (sqrt(1))) + (sqrt(1))), fac(((1) + (sqrt(1))) ^ (1)), fac(((1) + (sqrt(1))) ^ (fac(1))), fac(((1) + (sqrt(1))) ^ (sqrt(1))), fac(((1) + (sqrt(1))) | (1)), fac(((1) + (sqrt(1))) | (fac(1))), fac(((1) + (sqrt(1))) | (sqrt(1))), fac(((1) << (1)) + (1)), fac(((1) << (1)) + (fac(1))), fac(((1) << (1)) + (sqrt(1))), fac(((1) << (1)) ^ (1)), fac(((1) << (1)) ^ (fac(1))), fac(((1) << (1)) ^ (sqrt(1))), fac(((1) << (1)) | (1)), fac(((1) << (1)) | (fac(1))), fac(((1) << (1)) | (sqrt(1))), fac(((1) << (fac(1))) + (1)), fac(((1) << (fac(1))) + (fac(1))), fac(((1) << (fac(1))) + (sqrt(1))), fac(((1) << (fac(1))) ^ (1)), fac(((1) << (fac(1))) ^ (fac(1))), fac(((1) << (fac(1))) ^ (sqrt(1))), fac(((1) << (fac(1))) | (1)), fac(((1) << (fac(1))) | (fac(1))), fac(((1) << (fac(1))) | (sqrt(1))), fac(((1) << (sqrt(1))) + (1)), fac(((1) << (sqrt(1))) + (fac(1))), fac(((1) << (sqrt(1))) + (sqrt(1))), fac(((1) << (sqrt(1))) ^ (1)), fac(((1) << (sqrt(1))) ^ (fac(1))), fac(((1) << (sqrt(1))) ^ (sqrt(1))), fac(((1) << (sqrt(1))) | (1)), fac(((1) << (sqrt(1))) | (fac(1))), fac(((1) << (sqrt(1))) | (sqrt(1))), fac(((fac(1)) + (1)) + (1)), fac(((fac(1)) + (1)) + (fac(1))), fac(((fac(1)) + (1)) + (sqrt(1))), fac(((fac(1)) + (1)) ^ (1)), fac(((fac(1)) + (1)) ^ (fac(1))), fac(((fac(1)) + (1)) ^ (sqrt(1))), fac(((fac(1)) + (1)) | (1)), fac(((fac(1)) + (1)) | (fac(1))), fac(((fac(1)) + (1)) | (sqrt(1))), fac(((fac(1)) + (fac(1))) + (1)), fac(((fac(1)) + (fac(1))) + (fac(1))), fac(((fac(1)) + (fac(1))) + (sqrt(1))), fac(((fac(1)) + (fac(1))) ^ (1)), fac(((fac(1)) + (fac(1))) ^ (fac(1))), fac(((fac(1)) + (fac(1))) ^ (sqrt(1))), fac(((fac(1)) + (fac(1))) | (1)), fac(((fac(1)) + (fac(1))) | (fac(1))), fac(((fac(1)) + (fac(1))) | (sqrt(1))), fac(((fac(1)) + (sqrt(1))) + (1)), fac(((fac(1)) + (sqrt(1))) + (fac(1))), fac(((fac(1)) + (sqrt(1))) + (sqrt(1))), fac(((fac(1)) + (sqrt(1))) ^ (1)), fac(((fac(1)) + (sqrt(1))) ^ (fac(1))), fac(((fac(1)) + (sqrt(1))) ^ (sqrt(1))), fac(((fac(1)) + (sqrt(1))) | (1)), fac(((fac(1)) + (sqrt(1))) | (fac(1))), fac(((fac(1)) + (sqrt(1))) | (sqrt(1))), fac(((fac(1)) << (1)) + (1)), fac(((fac(1)) << (1)) + (fac(1))), fac(((fac(1)) << (1)) + (sqrt(1))), fac(((fac(1)) << (1)) ^ (1)), fac(((fac(1)) << (1)) ^ (fac(1))), fac(((fac(1)) << (1)) ^ (sqrt(1))), fac(((fac(1)) << (1)) | (1)), fac(((fac(1)) << (1)) | (fac(1))), fac(((fac(1)) << (1)) | (sqrt(1))), fac(((fac(1)) << (fac(1))) + (1)), fac(((fac(1)) << (fac(1))) + (fac(1))), fac(((fac(1)) << (fac(1))) + (sqrt(1))), fac(((fac(1)) << (fac(1))) ^ (1)), fac(((fac(1)) << (fac(1))) ^ (fac(1))), fac(((fac(1)) << (fac(1))) ^ (sqrt(1))), fac(((fac(1)) << (fac(1))) | (1)), fac(((fac(1)) << (fac(1))) | (fac(1))), fac(((fac(1)) << (fac(1))) | (sqrt(1))), fac(((fac(1)) << (sqrt(1))) + (1)), fac(((fac(1)) << (sqrt(1))) + (fac(1))), fac(((fac(1)) << (sqrt(1))) + (sqrt(1))), fac(((fac(1)) << (sqrt(1))) ^ (1)), fac(((fac(1)) << (sqrt(1))) ^ (fac(1))), fac(((fac(1)) << (sqrt(1))) ^ (sqrt(1))), fac(((fac(1)) << (sqrt(1))) | (1)), fac(((fac(1)) << (sqrt(1))) | (fac(1))), fac(((fac(1)) << (sqrt(1))) | (sqrt(1))), fac(((sqrt(1)) + (1)) + (1)), fac(((sqrt(1)) + (1)) + (fac(1))), fac(((sqrt(1)) + (1)) + (sqrt(1))), fac(((sqrt(1)) + (1)) ^ (1)), fac(((sqrt(1)) + (1)) ^ (fac(1))), fac(((sqrt(1)) + (1)) ^ (sqrt(1))), fac(((sqrt(1)) + (1)) | (1)), fac(((sqrt(1)) + (1)) | (fac(1))), fac(((sqrt(1)) + (1)) | (sqrt(1))), fac(((sqrt(1)) + (fac(1))) + (1)), fac(((sqrt(1)) + (fac(1))) + (fac(1))), fac(((sqrt(1)) + (fac(1))) + (sqrt(1))), fac(((sqrt(1)) + (fac(1))) ^ (1)), fac(((sqrt(1)) + (fac(1))) ^ (fac(1))), fac(((sqrt(1)) + (fac(1))) ^ (sqrt(1))), fac(((sqrt(1)) + (fac(1))) | (1)), fac(((sqrt(1)) + (fac(1))) | (fac(1))), fac(((sqrt(1)) + (fac(1))) | (sqrt(1))), fac(((sqrt(1)) + (sqrt(1))) + (1)), fac(((sqrt(1)) + (sqrt(1))) + (fac(1))), fac(((sqrt(1)) + (sqrt(1))) + (sqrt(1))), fac(((sqrt(1)) + (sqrt(1))) ^ (1)), fac(((sqrt(1)) + (sqrt(1))) ^ (fac(1))), fac(((sqrt(1)) + (sqrt(1))) ^ (sqrt(1))), fac(((sqrt(1)) + (sqrt(1))) | (1)), fac(((sqrt(1)) + (sqrt(1))) | (fac(1))), fac(((sqrt(1)) + (sqrt(1))) | (sqrt(1))), fac(((sqrt(1)) << (1)) + (1)), fac(((sqrt(1)) << (1)) + (fac(1))), fac(((sqrt(1)) << (1)) + (sqrt(1))), fac(((sqrt(1)) << (1)) ^ (1)), fac(((sqrt(1)) << (1)) ^ (fac(1))), fac(((sqrt(1)) << (1)) ^ (sqrt(1))), fac(((sqrt(1)) << (1)) | (1)), fac(((sqrt(1)) << (1)) | (fac(1))), fac(((sqrt(1)) << (1)) | (sqrt(1))), fac(((sqrt(1)) << (fac(1))) + (1)), fac(((sqrt(1)) << (fac(1))) + (fac(1))), fac(((sqrt(1)) << (fac(1))) + (sqrt(1))), fac(((sqrt(1)) << (fac(1))) ^ (1)), fac(((sqrt(1)) << (fac(1))) ^ (fac(1))), fac(((sqrt(1)) << (fac(1))) ^ (sqrt(1))), fac(((sqrt(1)) << (fac(1))) | (1)), fac(((sqrt(1)) << (fac(1))) | (fac(1))), fac(((sqrt(1)) << (fac(1))) | (sqrt(1))), fac(((sqrt(1)) << (sqrt(1))) + (1)), fac(((sqrt(1)) << (sqrt(1))) + (fac(1))), fac(((sqrt(1)) << (sqrt(1))) + (sqrt(1))), fac(((sqrt(1)) << (sqrt(1))) ^ (1)), fac(((sqrt(1)) << (sqrt(1))) ^ (fac(1))), fac(((sqrt(1)) << (sqrt(1))) ^ (sqrt(1))), fac(((sqrt(1)) << (sqrt(1))) | (1)), fac(((sqrt(1)) << (sqrt(1))) | (fac(1))), fac(((sqrt(1)) << (sqrt(1))) | (sqrt(1))), fac((1) + ((1) + (1))), fac((1) + ((1) + (fac(1)))), fac((1) + ((1) + (sqrt(1)))), fac((1) + ((1) << (1))), fac((1) + ((1) << (fac(1)))), fac((1) + ((1) << (sqrt(1)))), fac((1) + ((fac(1)) + (1))), fac((1) + ((fac(1)) + (fac(1)))), fac((1) + ((fac(1)) + (sqrt(1)))), fac((1) + ((fac(1)) << (1))), fac((1) + ((fac(1)) << (fac(1)))), fac((1) + ((fac(1)) << (sqrt(1)))), fac((1) + ((sqrt(1)) + (1))), fac((1) + ((sqrt(1)) + (fac(1)))), fac((1) + ((sqrt(1)) + (sqrt(1)))), fac((1) + ((sqrt(1)) << (1))), fac((1) + ((sqrt(1)) << (fac(1)))), fac((1) + ((sqrt(1)) << (sqrt(1)))), fac((1) + (fac((1) + (1)))), fac((1) + (fac((1) + (fac(1))))), fac((1) + (fac((1) + (sqrt(1))))), fac((1) + (fac((1) << (1)))), fac((1) + (fac((1) << (fac(1))))), fac((1) + (fac((1) << (sqrt(1))))), fac((1) + (fac((fac(1)) + (1)))), fac((1) + (fac((fac(1)) + (fac(1))))), fac((1) + (fac((fac(1)) + (sqrt(1))))), fac((1) + (fac((fac(1)) << (1)))), fac((1) + (fac((fac(1)) << (fac(1))))), fac((1) + (fac((fac(1)) << (sqrt(1))))), fac((1) + (fac((sqrt(1)) + (1)))), fac((1) + (fac((sqrt(1)) + (fac(1))))), fac((1) + (fac((sqrt(1)) + (sqrt(1))))), fac((1) + (fac((sqrt(1)) << (1)))), fac((1) + (fac((sqrt(1)) << (fac(1))))), fac((1) + (fac((sqrt(1)) << (sqrt(1))))), fac((1) ^ ((1) + (1))), fac((1) ^ ((1) + (fac(1)))), fac((1) ^ ((1) + (sqrt(1)))), fac((1) ^ ((1) << (1))), fac((1) ^ ((1) << (fac(1)))), fac((1) ^ ((1) << (sqrt(1)))), fac((1) ^ ((fac(1)) + (1))), fac((1) ^ ((fac(1)) + (fac(1)))), fac((1) ^ ((fac(1)) + (sqrt(1)))), fac((1) ^ ((fac(1)) << (1))), fac((1) ^ ((fac(1)) << (fac(1)))), fac((1) ^ ((fac(1)) << (sqrt(1)))), fac((1) ^ ((sqrt(1)) + (1))), fac((1) ^ ((sqrt(1)) + (fac(1)))), fac((1) ^ ((sqrt(1)) + (sqrt(1)))), fac((1) ^ ((sqrt(1)) << (1))), fac((1) ^ ((sqrt(1)) << (fac(1)))), fac((1) ^ ((sqrt(1)) << (sqrt(1)))), fac((1) ^ (fac((1) + (1)))), fac((1) ^ (fac((1) + (fac(1))))), fac((1) ^ (fac((1) + (sqrt(1))))), fac((1) ^ (fac((1) << (1)))), fac((1) ^ (fac((1) << (fac(1))))), fac((1) ^ (fac((1) << (sqrt(1))))), fac((1) ^ (fac((fac(1)) + (1)))), fac((1) ^ (fac((fac(1)) + (fac(1))))), fac((1) ^ (fac((fac(1)) + (sqrt(1))))), fac((1) ^ (fac((fac(1)) << (1)))), fac((1) 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fac((sqrt(1)) + ((sqrt(1)) << (fac(1)))), fac((sqrt(1)) + ((sqrt(1)) << (sqrt(1)))), fac((sqrt(1)) + (fac((1) + (1)))), fac((sqrt(1)) + (fac((1) + (fac(1))))), fac((sqrt(1)) + (fac((1) + (sqrt(1))))), fac((sqrt(1)) + (fac((1) << (1)))), fac((sqrt(1)) + (fac((1) << (fac(1))))), fac((sqrt(1)) + (fac((1) << (sqrt(1))))), fac((sqrt(1)) + (fac((fac(1)) + (1)))), fac((sqrt(1)) + (fac((fac(1)) + (fac(1))))), fac((sqrt(1)) + (fac((fac(1)) + (sqrt(1))))), fac((sqrt(1)) + (fac((fac(1)) << (1)))), fac((sqrt(1)) + (fac((fac(1)) << (fac(1))))), fac((sqrt(1)) + (fac((fac(1)) << (sqrt(1))))), fac((sqrt(1)) + (fac((sqrt(1)) + (1)))), fac((sqrt(1)) + (fac((sqrt(1)) + (fac(1))))), fac((sqrt(1)) + (fac((sqrt(1)) + (sqrt(1))))), fac((sqrt(1)) + (fac((sqrt(1)) << (1)))), fac((sqrt(1)) + (fac((sqrt(1)) << (fac(1))))), fac((sqrt(1)) + (fac((sqrt(1)) << (sqrt(1))))), fac((sqrt(1)) ^ ((1) + (1))), fac((sqrt(1)) ^ ((1) + (fac(1)))), fac((sqrt(1)) ^ ((1) + (sqrt(1)))), fac((sqrt(1)) ^ ((1) << (1))), fac((sqrt(1)) ^ ((1) << (fac(1)))), fac((sqrt(1)) ^ ((1) << (sqrt(1)))), fac((sqrt(1)) ^ ((fac(1)) + (1))), fac((sqrt(1)) ^ ((fac(1)) + (fac(1)))), fac((sqrt(1)) ^ ((fac(1)) + (sqrt(1)))), fac((sqrt(1)) ^ ((fac(1)) << (1))), fac((sqrt(1)) ^ ((fac(1)) << (fac(1)))), fac((sqrt(1)) ^ ((fac(1)) << (sqrt(1)))), fac((sqrt(1)) ^ ((sqrt(1)) + (1))), fac((sqrt(1)) ^ ((sqrt(1)) + (fac(1)))), fac((sqrt(1)) ^ ((sqrt(1)) + (sqrt(1)))), fac((sqrt(1)) ^ ((sqrt(1)) << (1))), fac((sqrt(1)) ^ ((sqrt(1)) << (fac(1)))), fac((sqrt(1)) ^ ((sqrt(1)) << (sqrt(1)))), fac((sqrt(1)) ^ (fac((1) + (1)))), fac((sqrt(1)) ^ (fac((1) + (fac(1))))), fac((sqrt(1)) ^ (fac((1) + (sqrt(1))))), fac((sqrt(1)) ^ (fac((1) << (1)))), fac((sqrt(1)) ^ (fac((1) << (fac(1))))), fac((sqrt(1)) ^ (fac((1) << (sqrt(1))))), fac((sqrt(1)) ^ (fac((fac(1)) + (1)))), fac((sqrt(1)) ^ (fac((fac(1)) + (fac(1))))), fac((sqrt(1)) ^ (fac((fac(1)) + (sqrt(1))))), fac((sqrt(1)) ^ (fac((fac(1)) << (1)))), fac((sqrt(1)) ^ (fac((fac(1)) << (fac(1))))), fac((sqrt(1)) ^ (fac((fac(1)) << (sqrt(1))))), fac((sqrt(1)) ^ (fac((sqrt(1)) + (1)))), fac((sqrt(1)) ^ (fac((sqrt(1)) + (fac(1))))), fac((sqrt(1)) ^ (fac((sqrt(1)) + (sqrt(1))))), fac((sqrt(1)) ^ (fac((sqrt(1)) << (1)))), fac((sqrt(1)) ^ (fac((sqrt(1)) << (fac(1))))), fac((sqrt(1)) ^ (fac((sqrt(1)) << (sqrt(1))))), fac((sqrt(1)) | ((1) + (1))), fac((sqrt(1)) | ((1) + (fac(1)))), fac((sqrt(1)) | ((1) + (sqrt(1)))), fac((sqrt(1)) | ((1) << (1))), fac((sqrt(1)) | ((1) << (fac(1)))), fac((sqrt(1)) | ((1) << (sqrt(1)))), fac((sqrt(1)) | ((fac(1)) + (1))), fac((sqrt(1)) | ((fac(1)) + (fac(1)))), fac((sqrt(1)) | ((fac(1)) + (sqrt(1)))), fac((sqrt(1)) | ((fac(1)) << (1))), fac((sqrt(1)) | ((fac(1)) << (fac(1)))), fac((sqrt(1)) | ((fac(1)) << (sqrt(1)))), fac((sqrt(1)) | ((sqrt(1)) + (1))), fac((sqrt(1)) | ((sqrt(1)) + (fac(1)))), fac((sqrt(1)) | ((sqrt(1)) + (sqrt(1)))), fac((sqrt(1)) | ((sqrt(1)) << (1))), fac((sqrt(1)) | ((sqrt(1)) << (fac(1)))), fac((sqrt(1)) | ((sqrt(1)) << (sqrt(1)))), fac((sqrt(1)) | (fac((1) + (1)))), fac((sqrt(1)) | (fac((1) + (fac(1))))), fac((sqrt(1)) | (fac((1) + (sqrt(1))))), fac((sqrt(1)) | (fac((1) << (1)))), fac((sqrt(1)) | (fac((1) << (fac(1))))), fac((sqrt(1)) | (fac((1) << (sqrt(1))))), fac((sqrt(1)) | (fac((fac(1)) + (1)))), fac((sqrt(1)) | (fac((fac(1)) + (fac(1))))), fac((sqrt(1)) | (fac((fac(1)) + (sqrt(1))))), fac((sqrt(1)) | (fac((fac(1)) << (1)))), fac((sqrt(1)) | (fac((fac(1)) << (fac(1))))), fac((sqrt(1)) | (fac((fac(1)) << (sqrt(1))))), fac((sqrt(1)) | (fac((sqrt(1)) + (1)))), fac((sqrt(1)) | (fac((sqrt(1)) + (fac(1))))), fac((sqrt(1)) | (fac((sqrt(1)) + (sqrt(1))))), fac((sqrt(1)) | (fac((sqrt(1)) << (1)))), fac((sqrt(1)) | (fac((sqrt(1)) << (fac(1))))), fac((sqrt(1)) | (fac((sqrt(1)) << (sqrt(1))))), ].every((v) => v === 6); 2 1 -ansSet.size() = 512 +ansSet.size() = 1436 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; -[((2) * (2)) + (2), ((2) * (2)) + (fac(2)), ((2) * (2)) ^ (2), ((2) * (2)) ^ (fac(2)), ((2) * (2)) | (2), ((2) * (2)) | (fac(2)), ((2) * (fac(2))) + (2), ((2) * (fac(2))) + (fac(2)), ((2) * (fac(2))) ^ (2), ((2) * (fac(2))) ^ (fac(2)), ((2) * (fac(2))) | (2), ((2) * (fac(2))) | (fac(2)), ((2) ** (2)) + (2), ((2) ** (2)) + (fac(2)), ((2) ** (2)) ^ (2), ((2) ** (2)) ^ (fac(2)), ((2) ** (2)) | (2), ((2) ** (2)) | (fac(2)), ((2) ** (fac(2))) + (2), ((2) ** (fac(2))) + (fac(2)), ((2) ** (fac(2))) ^ (2), ((2) ** (fac(2))) ^ (fac(2)), ((2) ** (fac(2))) | (2), ((2) ** (fac(2))) | (fac(2)), ((2) + (2)) + (2), ((2) + (2)) + (fac(2)), ((2) + (2)) ^ (2), ((2) + (2)) ^ (fac(2)), ((2) + (2)) | (2), ((2) + (2)) | (fac(2)), ((2) + (fac(2))) + (2), ((2) + (fac(2))) + (fac(2)), ((2) + (fac(2))) ^ (2), ((2) + (fac(2))) ^ (fac(2)), ((2) + (fac(2))) | (2), ((2) + (fac(2))) | (fac(2)), ((2) << (2)) - (2), ((2) << (2)) - (fac(2)), ((2) << (fac(2))) - (2), ((2) << (fac(2))) - (fac(2)), ((fac(2)) * (2)) + (2), ((fac(2)) * (2)) + (fac(2)), ((fac(2)) * (2)) ^ (2), ((fac(2)) * (2)) ^ (fac(2)), ((fac(2)) * (2)) | (2), ((fac(2)) * (2)) | (fac(2)), ((fac(2)) * (fac(2))) + (2), ((fac(2)) * (fac(2))) + (fac(2)), ((fac(2)) * (fac(2))) ^ (2), ((fac(2)) * (fac(2))) ^ (fac(2)), ((fac(2)) * (fac(2))) | (2), ((fac(2)) * (fac(2))) | (fac(2)), ((fac(2)) ** (2)) + (2), ((fac(2)) ** (2)) + (fac(2)), ((fac(2)) ** (2)) ^ (2), ((fac(2)) ** (2)) ^ (fac(2)), ((fac(2)) ** (2)) | (2), ((fac(2)) ** (2)) | (fac(2)), ((fac(2)) ** (fac(2))) + (2), ((fac(2)) ** (fac(2))) + (fac(2)), ((fac(2)) ** (fac(2))) ^ (2), ((fac(2)) ** (fac(2))) ^ (fac(2)), ((fac(2)) ** (fac(2))) | (2), ((fac(2)) ** (fac(2))) | (fac(2)), ((fac(2)) + (2)) + (2), ((fac(2)) + (2)) + (fac(2)), ((fac(2)) + (2)) ^ (2), ((fac(2)) + (2)) ^ (fac(2)), ((fac(2)) + (2)) | (2), ((fac(2)) + (2)) | (fac(2)), ((fac(2)) + (fac(2))) + (2), ((fac(2)) + (fac(2))) + (fac(2)), ((fac(2)) + (fac(2))) ^ (2), ((fac(2)) + (fac(2))) ^ (fac(2)), ((fac(2)) + (fac(2))) | (2), ((fac(2)) + (fac(2))) | (fac(2)), ((fac(2)) << (2)) - (2), ((fac(2)) << (2)) - (fac(2)), ((fac(2)) << (fac(2))) - (2), ((fac(2)) << (fac(2))) - (fac(2)), (2) + ((2) * (2)), (2) + ((2) * (fac(2))), (2) + ((2) ** (2)), (2) + ((2) ** (fac(2))), (2) + ((2) + (2)), (2) + ((2) + (fac(2))), (2) + ((fac(2)) * (2)), (2) + ((fac(2)) * (fac(2))), (2) + ((fac(2)) ** (2)), (2) + ((fac(2)) ** (fac(2))), (2) + ((fac(2)) + (2)), (2) + ((fac(2)) + (fac(2))), (2) ^ ((2) * (2)), (2) ^ ((2) * (fac(2))), (2) ^ ((2) ** (2)), (2) ^ ((2) ** (fac(2))), (2) ^ ((2) + (2)), (2) ^ ((2) + (fac(2))), (2) ^ ((fac(2)) * (2)), (2) ^ ((fac(2)) * (fac(2))), (2) ^ ((fac(2)) ** (2)), (2) ^ ((fac(2)) ** (fac(2))), (2) ^ ((fac(2)) + (2)), (2) ^ ((fac(2)) + (fac(2))), (2) | ((2) * (2)), (2) | ((2) * (fac(2))), (2) | ((2) ** (2)), (2) | ((2) ** (fac(2))), (2) | ((2) + (2)), (2) | ((2) + (fac(2))), (2) | ((fac(2)) * (2)), (2) | ((fac(2)) * (fac(2))), (2) | ((fac(2)) ** (2)), (2) | ((fac(2)) ** (fac(2))), (2) | ((fac(2)) + (2)), (2) | ((fac(2)) + (fac(2))), (fac((2) * (2))) >> (2), (fac((2) * (2))) >> (fac(2)), (fac((2) * (fac(2)))) >> (2), (fac((2) * (fac(2)))) >> (fac(2)), (fac((2) ** (2))) >> (2), (fac((2) ** (2))) >> (fac(2)), (fac((2) ** (fac(2)))) >> (2), (fac((2) ** (fac(2)))) >> (fac(2)), (fac((2) + (2))) >> (2), (fac((2) + (2))) >> (fac(2)), (fac((2) + (fac(2)))) >> (2), (fac((2) + (fac(2)))) >> (fac(2)), (fac((fac(2)) * (2))) >> (2), (fac((fac(2)) * (2))) >> (fac(2)), (fac((fac(2)) * (fac(2)))) >> (2), (fac((fac(2)) * (fac(2)))) >> (fac(2)), (fac((fac(2)) ** (2))) >> (2), (fac((fac(2)) ** (2))) >> (fac(2)), (fac((fac(2)) ** (fac(2)))) >> (2), (fac((fac(2)) ** (fac(2)))) >> (fac(2)), (fac((fac(2)) + (2))) >> (2), (fac((fac(2)) + (2))) >> (fac(2)), (fac((fac(2)) + (fac(2)))) >> (2), (fac((fac(2)) + (fac(2)))) >> (fac(2)), (fac(2)) + ((2) * (2)), (fac(2)) + ((2) * (fac(2))), (fac(2)) + ((2) ** (2)), (fac(2)) + ((2) ** (fac(2))), (fac(2)) + ((2) + (2)), (fac(2)) + ((2) + (fac(2))), (fac(2)) + ((fac(2)) * (2)), (fac(2)) + ((fac(2)) * (fac(2))), (fac(2)) + ((fac(2)) ** (2)), (fac(2)) + ((fac(2)) ** (fac(2))), (fac(2)) + ((fac(2)) + (2)), (fac(2)) + ((fac(2)) + (fac(2))), (fac(2)) ^ ((2) * (2)), (fac(2)) ^ ((2) * (fac(2))), (fac(2)) ^ ((2) ** (2)), (fac(2)) ^ ((2) ** (fac(2))), (fac(2)) ^ ((2) + (2)), (fac(2)) ^ ((2) + (fac(2))), (fac(2)) ^ ((fac(2)) * (2)), (fac(2)) ^ ((fac(2)) * (fac(2))), (fac(2)) ^ ((fac(2)) ** (2)), (fac(2)) ^ ((fac(2)) ** (fac(2))), (fac(2)) ^ ((fac(2)) + (2)), (fac(2)) ^ ((fac(2)) + (fac(2))), (fac(2)) | ((2) * (2)), (fac(2)) | ((2) * (fac(2))), (fac(2)) | ((2) ** (2)), (fac(2)) | ((2) ** (fac(2))), (fac(2)) | ((2) + (2)), (fac(2)) | ((2) + (fac(2))), (fac(2)) | ((fac(2)) * (2)), (fac(2)) | ((fac(2)) * (fac(2))), (fac(2)) | ((fac(2)) ** (2)), (fac(2)) | ((fac(2)) ** (fac(2))), (fac(2)) | ((fac(2)) + (2)), (fac(2)) | ((fac(2)) + (fac(2))), fac(((2) / (2)) + (2)), fac(((2) / (2)) + (fac(2))), fac(((2) / (2)) ^ (2)), fac(((2) / (2)) ^ (fac(2))), fac(((2) / (2)) | (2)), fac(((2) / (2)) | (fac(2))), fac(((2) / (fac(2))) + (2)), fac(((2) / (fac(2))) + (fac(2))), fac(((2) / (fac(2))) ^ (2)), fac(((2) / (fac(2))) ^ (fac(2))), fac(((2) / (fac(2))) | (2)), fac(((2) / (fac(2))) | (fac(2))), fac(((fac(2)) / (2)) + (2)), fac(((fac(2)) / (2)) + (fac(2))), fac(((fac(2)) / (2)) ^ (2)), fac(((fac(2)) / (2)) ^ (fac(2))), fac(((fac(2)) / (2)) | (2)), fac(((fac(2)) / (2)) | (fac(2))), fac(((fac(2)) / (fac(2))) + (2)), fac(((fac(2)) / (fac(2))) + (fac(2))), fac(((fac(2)) / (fac(2))) ^ (2)), fac(((fac(2)) / (fac(2))) ^ (fac(2))), fac(((fac(2)) / (fac(2))) | (2)), fac(((fac(2)) / (fac(2))) | (fac(2))), fac((2) + ((2) / (2))), fac((2) + ((2) / (fac(2)))), fac((2) + ((fac(2)) / (2))), fac((2) + ((fac(2)) / (fac(2)))), fac((2) + (fac((2) % (2)))), fac((2) + (fac((2) % (fac(2))))), fac((2) + (fac((2) - (2)))), fac((2) + (fac((2) - (fac(2))))), fac((2) + (fac((2) / (2)))), fac((2) + (fac((2) / (fac(2))))), fac((2) + (fac((2) >> (2)))), fac((2) + (fac((2) >> (fac(2))))), fac((2) + (fac((2) ^ (2)))), fac((2) + (fac((2) ^ (fac(2))))), fac((2) + (fac((fac(2)) % (2)))), fac((2) + (fac((fac(2)) % (fac(2))))), fac((2) + (fac((fac(2)) - (2)))), fac((2) + (fac((fac(2)) - (fac(2))))), fac((2) + (fac((fac(2)) / (2)))), fac((2) + (fac((fac(2)) / (fac(2))))), fac((2) + (fac((fac(2)) >> (2)))), fac((2) + (fac((fac(2)) >> (fac(2))))), fac((2) + (fac((fac(2)) ^ (2)))), fac((2) + (fac((fac(2)) ^ (fac(2))))), fac((2) + (sqrt((2) / (2)))), fac((2) + (sqrt((2) / (fac(2))))), fac((2) + (sqrt((fac(2)) / (2)))), fac((2) + (sqrt((fac(2)) / (fac(2))))), fac((2) ^ ((2) / (2))), fac((2) ^ ((2) / (fac(2)))), fac((2) ^ ((fac(2)) / (2))), fac((2) ^ ((fac(2)) / (fac(2)))), fac((2) ^ (fac((2) % (2)))), fac((2) ^ (fac((2) % (fac(2))))), fac((2) ^ (fac((2) - (2)))), fac((2) ^ (fac((2) - (fac(2))))), fac((2) ^ (fac((2) / (2)))), fac((2) ^ (fac((2) / (fac(2))))), fac((2) ^ (fac((2) >> (2)))), fac((2) ^ (fac((2) >> (fac(2))))), fac((2) ^ (fac((2) ^ (2)))), fac((2) ^ (fac((2) ^ (fac(2))))), fac((2) ^ (fac((fac(2)) % (2)))), fac((2) ^ (fac((fac(2)) % (fac(2))))), fac((2) ^ (fac((fac(2)) - (2)))), fac((2) ^ (fac((fac(2)) - (fac(2))))), fac((2) ^ (fac((fac(2)) / (2)))), fac((2) ^ (fac((fac(2)) / (fac(2))))), fac((2) ^ (fac((fac(2)) >> (2)))), fac((2) ^ (fac((fac(2)) >> (fac(2))))), fac((2) ^ (fac((fac(2)) ^ (2)))), fac((2) ^ (fac((fac(2)) ^ (fac(2))))), fac((2) ^ (sqrt((2) / (2)))), fac((2) ^ (sqrt((2) / (fac(2))))), fac((2) ^ (sqrt((fac(2)) / (2)))), fac((2) ^ (sqrt((fac(2)) / (fac(2))))), fac((2) | ((2) / (2))), fac((2) | ((2) / (fac(2)))), fac((2) | ((fac(2)) / (2))), fac((2) | ((fac(2)) / (fac(2)))), fac((2) | (fac((2) % (2)))), fac((2) | (fac((2) % (fac(2))))), fac((2) | (fac((2) - (2)))), fac((2) | (fac((2) - (fac(2))))), fac((2) | (fac((2) / (2)))), fac((2) | (fac((2) / (fac(2))))), fac((2) | (fac((2) >> (2)))), fac((2) | (fac((2) >> (fac(2))))), fac((2) | (fac((2) ^ (2)))), fac((2) | (fac((2) ^ (fac(2))))), fac((2) | (fac((fac(2)) % (2)))), fac((2) | (fac((fac(2)) % (fac(2))))), fac((2) | (fac((fac(2)) - (2)))), fac((2) | (fac((fac(2)) - (fac(2))))), fac((2) | (fac((fac(2)) / (2)))), fac((2) | (fac((fac(2)) / (fac(2))))), fac((2) | (fac((fac(2)) >> (2)))), fac((2) | (fac((fac(2)) >> (fac(2))))), fac((2) | (fac((fac(2)) ^ (2)))), fac((2) | (fac((fac(2)) ^ (fac(2))))), fac((2) | (sqrt((2) / (2)))), fac((2) | (sqrt((2) / (fac(2))))), fac((2) | (sqrt((fac(2)) / (2)))), fac((2) | (sqrt((fac(2)) / (fac(2))))), fac((fac((2) % (2))) + (2)), fac((fac((2) % (2))) + (fac(2))), fac((fac((2) % (2))) ^ (2)), fac((fac((2) % (2))) ^ (fac(2))), fac((fac((2) % (2))) | (2)), fac((fac((2) % (2))) | (fac(2))), fac((fac((2) % (fac(2)))) + (2)), fac((fac((2) % (fac(2)))) + (fac(2))), fac((fac((2) % (fac(2)))) ^ (2)), fac((fac((2) % (fac(2)))) ^ (fac(2))), fac((fac((2) % (fac(2)))) | (2)), fac((fac((2) % (fac(2)))) | (fac(2))), fac((fac((2) - (2))) + (2)), fac((fac((2) - (2))) + (fac(2))), fac((fac((2) - (2))) ^ (2)), fac((fac((2) - (2))) ^ (fac(2))), fac((fac((2) - (2))) | (2)), fac((fac((2) - (2))) | (fac(2))), fac((fac((2) - (fac(2)))) + (2)), fac((fac((2) - (fac(2)))) + (fac(2))), fac((fac((2) - (fac(2)))) ^ (2)), fac((fac((2) - (fac(2)))) ^ (fac(2))), fac((fac((2) - (fac(2)))) | (2)), fac((fac((2) - (fac(2)))) | (fac(2))), fac((fac((2) / (2))) + (2)), fac((fac((2) / (2))) + (fac(2))), fac((fac((2) / (2))) ^ (2)), fac((fac((2) / (2))) ^ (fac(2))), fac((fac((2) / (2))) | (2)), fac((fac((2) / (2))) | (fac(2))), fac((fac((2) / (fac(2)))) + (2)), fac((fac((2) / (fac(2)))) + (fac(2))), fac((fac((2) / (fac(2)))) ^ (2)), fac((fac((2) / (fac(2)))) ^ (fac(2))), fac((fac((2) / (fac(2)))) | (2)), fac((fac((2) / (fac(2)))) | (fac(2))), fac((fac((2) >> (2))) + (2)), fac((fac((2) >> (2))) + (fac(2))), fac((fac((2) >> (2))) ^ (2)), fac((fac((2) >> (2))) ^ (fac(2))), fac((fac((2) >> (2))) | (2)), fac((fac((2) >> (2))) | (fac(2))), fac((fac((2) >> (fac(2)))) + (2)), fac((fac((2) >> (fac(2)))) + (fac(2))), fac((fac((2) >> (fac(2)))) ^ (2)), fac((fac((2) >> (fac(2)))) ^ (fac(2))), fac((fac((2) >> (fac(2)))) | (2)), fac((fac((2) >> (fac(2)))) | (fac(2))), fac((fac((2) ^ (2))) + (2)), fac((fac((2) ^ (2))) + (fac(2))), fac((fac((2) ^ (2))) ^ (2)), fac((fac((2) ^ (2))) ^ (fac(2))), fac((fac((2) ^ (2))) | (2)), fac((fac((2) ^ (2))) | (fac(2))), fac((fac((2) ^ (fac(2)))) + (2)), fac((fac((2) ^ (fac(2)))) + (fac(2))), fac((fac((2) ^ (fac(2)))) ^ (2)), fac((fac((2) ^ (fac(2)))) ^ (fac(2))), fac((fac((2) ^ (fac(2)))) | (2)), fac((fac((2) ^ (fac(2)))) | (fac(2))), fac((fac((fac(2)) % (2))) + (2)), fac((fac((fac(2)) % (2))) + (fac(2))), fac((fac((fac(2)) % (2))) ^ (2)), fac((fac((fac(2)) % (2))) ^ (fac(2))), fac((fac((fac(2)) % (2))) | (2)), fac((fac((fac(2)) % (2))) | (fac(2))), fac((fac((fac(2)) % (fac(2)))) + (2)), fac((fac((fac(2)) % (fac(2)))) + (fac(2))), fac((fac((fac(2)) % (fac(2)))) ^ (2)), fac((fac((fac(2)) % (fac(2)))) ^ (fac(2))), fac((fac((fac(2)) % (fac(2)))) | (2)), fac((fac((fac(2)) % (fac(2)))) | (fac(2))), fac((fac((fac(2)) - (2))) + (2)), fac((fac((fac(2)) - (2))) + (fac(2))), fac((fac((fac(2)) - (2))) ^ (2)), fac((fac((fac(2)) - (2))) ^ (fac(2))), fac((fac((fac(2)) - (2))) | (2)), fac((fac((fac(2)) - (2))) | (fac(2))), fac((fac((fac(2)) - (fac(2)))) + (2)), fac((fac((fac(2)) - (fac(2)))) + (fac(2))), fac((fac((fac(2)) - (fac(2)))) ^ (2)), fac((fac((fac(2)) - (fac(2)))) ^ (fac(2))), fac((fac((fac(2)) - (fac(2)))) | (2)), fac((fac((fac(2)) - (fac(2)))) | (fac(2))), fac((fac((fac(2)) / (2))) + (2)), fac((fac((fac(2)) / (2))) + (fac(2))), fac((fac((fac(2)) / (2))) ^ (2)), fac((fac((fac(2)) / (2))) ^ (fac(2))), fac((fac((fac(2)) / (2))) | (2)), fac((fac((fac(2)) / (2))) | (fac(2))), fac((fac((fac(2)) / (fac(2)))) + (2)), fac((fac((fac(2)) / (fac(2)))) + (fac(2))), fac((fac((fac(2)) / (fac(2)))) ^ (2)), fac((fac((fac(2)) / (fac(2)))) ^ (fac(2))), fac((fac((fac(2)) / (fac(2)))) | (2)), fac((fac((fac(2)) / (fac(2)))) | (fac(2))), fac((fac((fac(2)) >> (2))) + (2)), fac((fac((fac(2)) >> (2))) + (fac(2))), fac((fac((fac(2)) >> (2))) ^ (2)), fac((fac((fac(2)) >> (2))) 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(fac(2))), fac((sqrt((fac(2)) ** (!2))) ^ (2)), fac((sqrt((fac(2)) ** (!2))) ^ (fac(2))), fac((sqrt((fac(2)) ** (!2))) | (2)), fac((sqrt((fac(2)) ** (!2))) | (fac(2))), fac((sqrt((fac(2)) / (2))) + (2)), fac((sqrt((fac(2)) / (2))) + (fac(2))), fac((sqrt((fac(2)) / (2))) ^ (2)), fac((sqrt((fac(2)) / (2))) ^ (fac(2))), fac((sqrt((fac(2)) / (2))) | (2)), fac((sqrt((fac(2)) / (2))) | (fac(2))), fac((sqrt((fac(2)) / (fac(2)))) + (2)), fac((sqrt((fac(2)) / (fac(2)))) + (fac(2))), fac((sqrt((fac(2)) / (fac(2)))) ^ (2)), fac((sqrt((fac(2)) / (fac(2)))) ^ (fac(2))), fac((sqrt((fac(2)) / (fac(2)))) | (2)), fac((sqrt((fac(2)) / (fac(2)))) | (fac(2))), ].every((v) => v === 6); 3 1 -ansSet.size() = 908 +ansSet.size() = 4326 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; -[((3) % (3)) + (fac(3)), ((3) % (3)) ^ (fac(3)), ((3) % (3)) | (fac(3)), ((3) % (fac(3))) + (3), ((3) & (3)) + (3), ((3) & (fac(3))) * (3), ((3) & (fac(3))) | (fac(3)), ((3) * (3)) - (3), ((3) * (fac(3))) / (3), ((3) 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<< (fac((3) % (3))), (3) << (fac((3) - (3))), (3) << (fac((3) / (3))), (3) << (fac((3) >> (3))), (3) << (fac((3) >> (fac(3)))), (3) << (fac((3) ^ (3))), (3) << (fac((fac(3)) % (3))), (3) << (fac((fac(3)) % (fac(3)))), (3) << (fac((fac(3)) - (fac(3)))), (3) << (fac((fac(3)) / (fac(3)))), (3) << (fac((fac(3)) >> (3))), (3) << (fac((fac(3)) >> (fac(3)))), (3) << (fac((fac(3)) ^ (fac(3)))), (3) << (sqrt((3) / (3))), (3) << (sqrt((fac(3)) / (fac(3)))), (3) ^ ((3) ^ (fac(3))), (3) ^ ((fac(3)) ^ (3)), (fac((3) % (3))) * (fac(3)), (fac((3) % (fac(3)))) & (fac(3)), (fac((3) % (fac(3)))) | (fac(3)), (fac((3) & (3))) & (fac(3)), (fac((3) & (3))) | (fac(3)), (fac((3) & (fac(3)))) * (3), (fac((3) & (fac(3)))) | (fac(3)), (fac((3) - (3))) * (fac(3)), (fac((3) / (3))) * (fac(3)), (fac((3) >> (3))) * (fac(3)), (fac((3) >> (fac(3)))) * (fac(3)), (fac((3) ^ (3))) * (fac(3)), (fac((3) | (3))) & (fac(3)), (fac((3) | (3))) | (fac(3)), (fac((fac(3)) % (3))) * (fac(3)), (fac((fac(3)) % (fac(3)))) * (fac(3)), (fac((fac(3)) & (3))) * (3), (fac((fac(3)) & (3))) | (fac(3)), (fac((fac(3)) - (3))) & (fac(3)), (fac((fac(3)) - (3))) | (fac(3)), (fac((fac(3)) - (fac(3)))) * (fac(3)), (fac((fac(3)) / (3))) * (3), (fac((fac(3)) / (3))) | (fac(3)), (fac((fac(3)) / (fac(3)))) * (fac(3)), (fac((fac(3)) >> (3))) * (fac(3)), (fac((fac(3)) >> (fac(3)))) * (fac(3)), (fac((fac(3)) ^ (fac(3)))) * (fac(3)), (fac(3)) % ((3) * (3)), (fac(3)) % ((3) * (fac(3))), (fac(3)) % ((3) ** (3)), (fac(3)) % ((3) ** (fac(3))), (fac(3)) % ((3) + (fac(3))), (fac(3)) % ((3) << (3)), (fac(3)) % ((3) << (fac(3))), (fac(3)) % ((3) | (fac(3))), (fac(3)) % ((fac(3)) * (3)), (fac(3)) % ((fac(3)) * (fac(3))), (fac(3)) % ((fac(3)) ** (3)), (fac(3)) % ((fac(3)) ** (fac(3))), (fac(3)) % ((fac(3)) + (3)), (fac(3)) % ((fac(3)) + (fac(3))), (fac(3)) % ((fac(3)) << (3)), (fac(3)) % ((fac(3)) << (fac(3))), (fac(3)) % ((fac(3)) | (3)), (fac(3)) % (fac((3) * (3))), (fac(3)) % (fac((3) + (3))), (fac(3)) % (fac((3) + (fac(3)))), (fac(3)) % (fac((3) ^ (fac(3)))), (fac(3)) % (fac((3) | (fac(3)))), (fac(3)) % (fac((fac(3)) & (fac(3)))), (fac(3)) % (fac((fac(3)) + (3))), (fac(3)) % (fac((fac(3)) ^ (3))), (fac(3)) % (fac((fac(3)) | (3))), (fac(3)) % (fac((fac(3)) | (fac(3)))), (fac(3)) % (sqrt((3) ** (fac(3)))), (fac(3)) % (sqrt((fac(3)) ** (fac(3)))), (fac(3)) & ((3) + (3)), (fac(3)) & ((3) | (fac(3))), (fac(3)) & ((fac(3)) & (fac(3))), (fac(3)) & ((fac(3)) | (3)), (fac(3)) & ((fac(3)) | (fac(3))), (fac(3)) & (fac((3) % (fac(3)))), (fac(3)) & (fac((3) & (3))), (fac(3)) & (fac((3) | (3))), (fac(3)) & (fac((fac(3)) - (3))), (fac(3)) & (sqrt((fac(3)) * (fac(3)))), (fac(3)) * ((3) / (3)), (fac(3)) * ((fac(3)) / (fac(3))), (fac(3)) * (fac((3) % (3))), (fac(3)) * (fac((3) - (3))), (fac(3)) * (fac((3) / (3))), (fac(3)) * (fac((3) >> (3))), (fac(3)) * (fac((3) >> (fac(3)))), (fac(3)) * (fac((3) ^ (3))), (fac(3)) * (fac((fac(3)) % (3))), (fac(3)) * (fac((fac(3)) % (fac(3)))), (fac(3)) * (fac((fac(3)) - (fac(3)))), (fac(3)) * (fac((fac(3)) / (fac(3)))), (fac(3)) * (fac((fac(3)) >> (3))), (fac(3)) * (fac((fac(3)) >> (fac(3)))), (fac(3)) * (fac((fac(3)) ^ (fac(3)))), (fac(3)) * (sqrt((3) / (3))), (fac(3)) * (sqrt((fac(3)) / (fac(3)))), (fac(3)) ** ((3) / (3)), (fac(3)) ** ((fac(3)) / (fac(3))), (fac(3)) ** (fac((3) % (3))), (fac(3)) ** (fac((3) - (3))), (fac(3)) ** (fac((3) / (3))), (fac(3)) ** (fac((3) >> (3))), (fac(3)) ** (fac((3) >> (fac(3)))), (fac(3)) ** (fac((3) ^ (3))), (fac(3)) ** (fac((fac(3)) % (3))), (fac(3)) ** (fac((fac(3)) % (fac(3)))), (fac(3)) ** (fac((fac(3)) - (fac(3)))), (fac(3)) ** (fac((fac(3)) / (fac(3)))), (fac(3)) ** (fac((fac(3)) >> (3))), (fac(3)) ** (fac((fac(3)) >> (fac(3)))), (fac(3)) ** (fac((fac(3)) ^ (fac(3)))), (fac(3)) ** (sqrt((3) / (3))), (fac(3)) ** (sqrt((fac(3)) / (fac(3)))), (fac(3)) + ((3) % (3)), (fac(3)) + ((3) - (3)), (fac(3)) + ((3) >> (3)), (fac(3)) + ((3) >> (fac(3))), (fac(3)) + ((3) ^ (3)), (fac(3)) + ((fac(3)) % (3)), (fac(3)) + ((fac(3)) % (fac(3))), (fac(3)) + ((fac(3)) - (fac(3))), (fac(3)) + ((fac(3)) >> (3)), (fac(3)) + ((fac(3)) >> (fac(3))), (fac(3)) + ((fac(3)) ^ (fac(3))), (fac(3)) + (sqrt((3) % (3))), (fac(3)) + (sqrt((3) - (3))), (fac(3)) + (sqrt((3) >> (3))), (fac(3)) + (sqrt((3) >> (fac(3)))), (fac(3)) + (sqrt((3) ^ (3))), (fac(3)) + (sqrt((fac(3)) % (3))), (fac(3)) + (sqrt((fac(3)) % (fac(3)))), (fac(3)) + (sqrt((fac(3)) - (fac(3)))), (fac(3)) + (sqrt((fac(3)) >> (3))), (fac(3)) + (sqrt((fac(3)) >> (fac(3)))), (fac(3)) + (sqrt((fac(3)) ^ (fac(3)))), (fac(3)) - ((3) % (3)), (fac(3)) - ((3) - (3)), (fac(3)) - ((3) >> (3)), (fac(3)) - ((3) >> (fac(3))), (fac(3)) - ((3) ^ (3)), (fac(3)) - ((fac(3)) % (3)), (fac(3)) - ((fac(3)) % (fac(3))), (fac(3)) - ((fac(3)) - (fac(3))), (fac(3)) - ((fac(3)) >> (3)), (fac(3)) - ((fac(3)) >> (fac(3))), (fac(3)) - ((fac(3)) ^ (fac(3))), (fac(3)) - (sqrt((3) % (3))), (fac(3)) - (sqrt((3) - (3))), (fac(3)) - (sqrt((3) >> (3))), (fac(3)) - (sqrt((3) >> (fac(3)))), (fac(3)) - (sqrt((3) ^ (3))), (fac(3)) - (sqrt((fac(3)) % (3))), (fac(3)) - (sqrt((fac(3)) % (fac(3)))), (fac(3)) - (sqrt((fac(3)) - (fac(3)))), (fac(3)) - (sqrt((fac(3)) >> (3))), (fac(3)) - (sqrt((fac(3)) >> (fac(3)))), (fac(3)) - (sqrt((fac(3)) ^ (fac(3)))), (fac(3)) / ((3) / (3)), (fac(3)) / ((fac(3)) / (fac(3))), (fac(3)) / (fac((3) % (3))), (fac(3)) / (fac((3) - (3))), (fac(3)) / (fac((3) / (3))), (fac(3)) / (fac((3) >> (3))), (fac(3)) / (fac((3) >> (fac(3)))), (fac(3)) / (fac((3) ^ (3))), (fac(3)) / (fac((fac(3)) % (3))), (fac(3)) / (fac((fac(3)) % (fac(3)))), (fac(3)) / (fac((fac(3)) - (fac(3)))), (fac(3)) / (fac((fac(3)) / (fac(3)))), (fac(3)) / (fac((fac(3)) >> (3))), (fac(3)) / (fac((fac(3)) >> (fac(3)))), (fac(3)) / (fac((fac(3)) ^ (fac(3)))), (fac(3)) / (sqrt((3) / (3))), (fac(3)) / (sqrt((fac(3)) / (fac(3)))), (fac(3)) << ((3) % (3)), (fac(3)) << ((3) - (3)), (fac(3)) << ((3) << (fac(3))), (fac(3)) << ((3) >> (3)), (fac(3)) << ((3) >> (fac(3))), (fac(3)) << ((3) ^ (3)), (fac(3)) << ((fac(3)) % (3)), (fac(3)) << ((fac(3)) % (fac(3))), (fac(3)) << ((fac(3)) ** (fac(3))), (fac(3)) << ((fac(3)) - (fac(3))), (fac(3)) << ((fac(3)) << (fac(3))), (fac(3)) << ((fac(3)) >> (3)), (fac(3)) << ((fac(3)) >> (fac(3))), (fac(3)) << ((fac(3)) ^ (fac(3))), (fac(3)) << (fac((3) * (3))), (fac(3)) << (fac((3) + (fac(3)))), (fac(3)) << (fac((fac(3)) + (3))), (fac(3)) << (sqrt((3) % (3))), (fac(3)) << (sqrt((3) - (3))), (fac(3)) << (sqrt((3) >> (3))), (fac(3)) << (sqrt((3) >> (fac(3)))), (fac(3)) << (sqrt((3) ^ (3))), (fac(3)) << (sqrt((fac(3)) % (3))), (fac(3)) << (sqrt((fac(3)) % (fac(3)))), (fac(3)) << (sqrt((fac(3)) - (fac(3)))), (fac(3)) << (sqrt((fac(3)) >> (3))), (fac(3)) << (sqrt((fac(3)) >> (fac(3)))), (fac(3)) << (sqrt((fac(3)) ^ (fac(3)))), (fac(3)) >> ((3) % (3)), (fac(3)) >> ((3) - (3)), (fac(3)) >> ((3) << (fac(3))), (fac(3)) >> ((3) >> (3)), (fac(3)) >> ((3) >> (fac(3))), (fac(3)) >> ((3) ^ (3)), (fac(3)) >> ((fac(3)) % (3)), (fac(3)) >> ((fac(3)) % (fac(3))), (fac(3)) >> ((fac(3)) ** (fac(3))), (fac(3)) >> ((fac(3)) - (fac(3))), (fac(3)) >> ((fac(3)) << (fac(3))), (fac(3)) >> ((fac(3)) >> (3)), (fac(3)) >> ((fac(3)) >> (fac(3))), (fac(3)) >> ((fac(3)) ^ (fac(3))), (fac(3)) >> (fac((3) * (3))), (fac(3)) >> (fac((3) + (fac(3)))), (fac(3)) >> (fac((fac(3)) + (3))), (fac(3)) >> (sqrt((3) % (3))), (fac(3)) >> (sqrt((3) - (3))), (fac(3)) >> (sqrt((3) >> (3))), (fac(3)) >> (sqrt((3) >> (fac(3)))), (fac(3)) >> (sqrt((3) ^ (3))), (fac(3)) >> (sqrt((fac(3)) % (3))), (fac(3)) >> (sqrt((fac(3)) % (fac(3)))), (fac(3)) >> (sqrt((fac(3)) - (fac(3)))), (fac(3)) >> (sqrt((fac(3)) >> (3))), (fac(3)) >> (sqrt((fac(3)) >> (fac(3)))), (fac(3)) >> (sqrt((fac(3)) ^ (fac(3)))), (fac(3)) ^ ((3) % (3)), (fac(3)) ^ ((3) - (3)), (fac(3)) ^ ((3) >> (3)), (fac(3)) ^ ((3) >> (fac(3))), (fac(3)) ^ ((3) ^ (3)), (fac(3)) ^ ((fac(3)) % (3)), (fac(3)) ^ ((fac(3)) % (fac(3))), (fac(3)) ^ ((fac(3)) - (fac(3))), (fac(3)) ^ ((fac(3)) >> (3)), (fac(3)) ^ ((fac(3)) >> (fac(3))), (fac(3)) ^ ((fac(3)) ^ (fac(3))), (fac(3)) ^ (sqrt((3) % (3))), (fac(3)) ^ (sqrt((3) - (3))), (fac(3)) ^ (sqrt((3) >> (3))), (fac(3)) ^ (sqrt((3) >> (fac(3)))), (fac(3)) ^ (sqrt((3) ^ (3))), (fac(3)) ^ (sqrt((fac(3)) % (3))), (fac(3)) ^ (sqrt((fac(3)) % (fac(3)))), (fac(3)) ^ (sqrt((fac(3)) - (fac(3)))), (fac(3)) ^ (sqrt((fac(3)) >> (3))), (fac(3)) ^ (sqrt((fac(3)) >> (fac(3)))), (fac(3)) ^ (sqrt((fac(3)) ^ (fac(3)))), (fac(3)) | ((3) % (3)), (fac(3)) | ((3) & (fac(3))), (fac(3)) | ((3) + (3)), (fac(3)) | ((3) - (3)), (fac(3)) | ((3) >> (3)), (fac(3)) | ((3) >> (fac(3))), (fac(3)) | ((3) ^ (3)), (fac(3)) | ((fac(3)) % (3)), (fac(3)) | ((fac(3)) % (fac(3))), (fac(3)) | ((fac(3)) & (3)), (fac(3)) | ((fac(3)) & (fac(3))), (fac(3)) | ((fac(3)) - (fac(3))), (fac(3)) | ((fac(3)) / (3)), (fac(3)) | ((fac(3)) >> (3)), (fac(3)) | ((fac(3)) >> (fac(3))), (fac(3)) | ((fac(3)) ^ (fac(3))), (fac(3)) | ((fac(3)) | (fac(3))), (fac(3)) | (fac((3) % (fac(3)))), (fac(3)) | (fac((3) & (3))), (fac(3)) | (fac((3) & (fac(3)))), (fac(3)) | (fac((3) | (3))), (fac(3)) | (fac((fac(3)) & (3))), (fac(3)) | (fac((fac(3)) - (3))), (fac(3)) | (fac((fac(3)) / (3))), (fac(3)) | (sqrt((3) % (3))), (fac(3)) | (sqrt((3) - (3))), (fac(3)) | (sqrt((3) >> (3))), (fac(3)) | (sqrt((3) >> (fac(3)))), (fac(3)) | (sqrt((3) ^ (3))), (fac(3)) | (sqrt((fac(3)) % (3))), (fac(3)) | (sqrt((fac(3)) % (fac(3)))), (fac(3)) | (sqrt((fac(3)) * (fac(3)))), (fac(3)) | (sqrt((fac(3)) - (fac(3)))), (fac(3)) | (sqrt((fac(3)) >> (3))), (fac(3)) | (sqrt((fac(3)) >> (fac(3)))), (fac(3)) | (sqrt((fac(3)) ^ (fac(3)))), (sqrt((3) % (3))) + (fac(3)), (sqrt((3) % (3))) ^ (fac(3)), (sqrt((3) % (3))) | (fac(3)), (sqrt((3) * (3))) + (3), (sqrt((3) + (fac(3)))) + (3), (sqrt((3) - (3))) + (fac(3)), (sqrt((3) - (3))) ^ (fac(3)), (sqrt((3) - (3))) | (fac(3)), (sqrt((3) / (3))) * (fac(3)), (sqrt((3) >> (3))) + (fac(3)), (sqrt((3) >> (3))) ^ (fac(3)), (sqrt((3) >> (3))) | (fac(3)), (sqrt((3) >> (fac(3)))) + (fac(3)), (sqrt((3) >> (fac(3)))) ^ (fac(3)), (sqrt((3) >> (fac(3)))) | (fac(3)), (sqrt((3) ^ (3))) + (fac(3)), (sqrt((3) ^ (3))) ^ (fac(3)), (sqrt((3) ^ (3))) | (fac(3)), (sqrt((fac(3)) % (3))) + (fac(3)), (sqrt((fac(3)) % (3))) ^ (fac(3)), (sqrt((fac(3)) % (3))) | (fac(3)), (sqrt((fac(3)) % (fac(3)))) + (fac(3)), (sqrt((fac(3)) % (fac(3)))) ^ (fac(3)), (sqrt((fac(3)) % (fac(3)))) | (fac(3)), (sqrt((fac(3)) * (fac(3)))) & (fac(3)), (sqrt((fac(3)) * (fac(3)))) | (fac(3)), (sqrt((fac(3)) + (3))) + (3), (sqrt((fac(3)) - (fac(3)))) + (fac(3)), (sqrt((fac(3)) - (fac(3)))) ^ (fac(3)), (sqrt((fac(3)) - (fac(3)))) | (fac(3)), (sqrt((fac(3)) / (fac(3)))) * (fac(3)), (sqrt((fac(3)) >> (3))) + (fac(3)), (sqrt((fac(3)) >> (3))) ^ (fac(3)), (sqrt((fac(3)) >> (3))) | (fac(3)), (sqrt((fac(3)) >> (fac(3)))) + (fac(3)), (sqrt((fac(3)) >> (fac(3)))) ^ (fac(3)), (sqrt((fac(3)) >> (fac(3)))) | (fac(3)), (sqrt((fac(3)) ^ (fac(3)))) + (fac(3)), (sqrt((fac(3)) ^ (fac(3)))) ^ (fac(3)), (sqrt((fac(3)) ^ (fac(3)))) | (fac(3)), fac(((3) % (3)) + (3)), fac(((3) % 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fac(((fac(3)) >> (fac(3))) + (3)), fac(((fac(3)) >> (fac(3))) ^ (3)), fac(((fac(3)) >> (fac(3))) | (3)), fac(((fac(3)) ^ (3)) ^ (fac(3))), fac(((fac(3)) ^ (fac(3))) + (3)), fac(((fac(3)) ^ (fac(3))) ^ (3)), fac(((fac(3)) ^ (fac(3))) | (3)), fac(((fac(3)) | (3)) & (3)), fac(((fac(3)) | (fac(3))) - (3)), fac((3) % ((3) * (3))), fac((3) % ((3) * (fac(3)))), fac((3) % ((3) ** (3))), fac((3) % ((3) ** (fac(3)))), fac((3) % ((3) + (3))), fac((3) % ((3) + (fac(3)))), fac((3) % ((3) << (3))), fac((3) % ((3) << (fac(3)))), fac((3) % ((3) ^ (fac(3)))), fac((3) % ((3) | (fac(3)))), fac((3) % ((fac(3)) & (fac(3)))), fac((3) % ((fac(3)) * (3))), fac((3) % ((fac(3)) * (fac(3)))), fac((3) % ((fac(3)) ** (3))), fac((3) % ((fac(3)) ** (fac(3)))), fac((3) % ((fac(3)) + (3))), fac((3) % ((fac(3)) + (fac(3)))), fac((3) % ((fac(3)) << (3))), fac((3) % ((fac(3)) << (fac(3)))), fac((3) % ((fac(3)) ^ (3))), fac((3) % ((fac(3)) | (3))), fac((3) % ((fac(3)) | (fac(3)))), fac((3) % (fac((3) % (fac(3))))), 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sqrt(((fac(3)) * (fac(3))) | (!3)), sqrt(((fac(3)) ** (3)) / (fac(3))), sqrt(((fac(3)) + (!3)) * (fac(3))), sqrt(((fac(3)) + (fac(3))) * (3)), sqrt(((fac(3)) - (!3)) * (fac(3))), sqrt(((fac(3)) << (!3)) * (fac(3))), sqrt(((fac(3)) >> (!3)) * (fac(3))), sqrt(((fac(3)) ^ (!3)) * (fac(3))), sqrt(((fac(3)) | (!3)) * (fac(3))), sqrt(((fac(3)) | (fac(3))) * (fac(3))), sqrt((3) * ((fac(3)) + (fac(3)))), sqrt((fac((!3) + (3))) * (fac(3))), sqrt((fac((!3) ^ (3))) * (fac(3))), sqrt((fac((!3) | (3))) * (fac(3))), sqrt((fac((3) % (fac(3)))) * (fac(3))), sqrt((fac((3) & (3))) * (fac(3))), sqrt((fac((3) + (!3))) * (fac(3))), sqrt((fac((3) - (!3))) * (fac(3))), sqrt((fac((3) << (!3))) * (fac(3))), sqrt((fac((3) >> (!3))) * (fac(3))), sqrt((fac((3) ^ (!3))) * (fac(3))), sqrt((fac((3) | (!3))) * (fac(3))), sqrt((fac((3) | (3))) * (fac(3))), sqrt((fac((fac(3)) - (3))) * (fac(3))), sqrt((fac(3)) * ((!3) + (fac(3)))), sqrt((fac(3)) * ((!3) ^ (fac(3)))), sqrt((fac(3)) * ((!3) | (fac(3)))), sqrt((fac(3)) * ((3) + (3))), sqrt((fac(3)) * ((fac(3)) & (fac(3)))), sqrt((fac(3)) * ((fac(3)) + (!3))), sqrt((fac(3)) * ((fac(3)) - (!3))), sqrt((fac(3)) * ((fac(3)) << (!3))), sqrt((fac(3)) * ((fac(3)) >> (!3))), sqrt((fac(3)) * ((fac(3)) ^ (!3))), sqrt((fac(3)) * ((fac(3)) | (!3))), sqrt((fac(3)) * ((fac(3)) | (fac(3)))), sqrt((fac(3)) * (fac((!3) + (3)))), sqrt((fac(3)) * (fac((!3) ^ (3)))), sqrt((fac(3)) * (fac((!3) | (3)))), sqrt((fac(3)) * (fac((3) % (fac(3))))), sqrt((fac(3)) * (fac((3) & (3)))), sqrt((fac(3)) * (fac((3) + (!3)))), sqrt((fac(3)) * (fac((3) - (!3)))), sqrt((fac(3)) * (fac((3) << (!3)))), sqrt((fac(3)) * (fac((3) >> (!3)))), sqrt((fac(3)) * (fac((3) ^ (!3)))), sqrt((fac(3)) * (fac((3) | (!3)))), sqrt((fac(3)) * (fac((3) | (3)))), sqrt((fac(3)) * (fac((fac(3)) - (3)))), sqrt((fac(3)) * (sqrt((fac(3)) * (fac(3))))), sqrt((fac(3)) ** ((3) & (fac(3)))), sqrt((fac(3)) ** ((fac(3)) & (3))), sqrt((fac(3)) ** ((fac(3)) / (3))), sqrt((fac(3)) ** (fac((3) & (fac(3))))), sqrt((fac(3)) ** (fac((fac(3)) & (3)))), sqrt((fac(3)) ** (fac((fac(3)) / (3)))), sqrt((sqrt((fac(3)) * (fac(3)))) * (fac(3))), sqrt((sqrt((fac(3)) ** (fac(3)))) / (fac(3))), ].every((v) => v === 6); 4 1 -ansSet.size() = 582 +ansSet.size() = 1686 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; -[((4) % (fac(4))) + (sqrt(4)), ((4) % (fac(4))) ^ (sqrt(4)), ((4) % (fac(4))) | (sqrt(4)), ((4) & (4)) + (sqrt(4)), ((4) & (4)) ^ (sqrt(4)), ((4) & (4)) | (sqrt(4)), ((4) * (fac(4))) >> (4), ((4) * (sqrt(4))) - (sqrt(4)), ((4) + (4)) - (sqrt(4)), ((4) + (sqrt(4))) % (fac(4)), ((4) + (sqrt(4))) | (4), ((4) + (sqrt(4))) | (sqrt(4)), ((4) - (sqrt(4))) + (4), ((4) - (sqrt(4))) ^ (4), ((4) - (sqrt(4))) | (4), ((4) / (sqrt(4))) + (4), ((4) / (sqrt(4))) ^ (4), ((4) / (sqrt(4))) | (4), ((4) ^ (sqrt(4))) % (fac(4)), ((4) ^ (sqrt(4))) | (4), ((4) ^ (sqrt(4))) | (sqrt(4)), ((4) | (4)) + (sqrt(4)), ((4) | (4)) ^ (sqrt(4)), ((4) | (4)) | (sqrt(4)), ((4) | (sqrt(4))) % (fac(4)), ((4) | (sqrt(4))) | (4), ((4) | 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(4)))), fac((sqrt(4)) | (!((!4) >> (fac(4))))), fac((sqrt(4)) | (!((!4) >> (sqrt(4))))), fac((sqrt(4)) | (!((!4) ^ (!4)))), fac((sqrt(4)) | (!((!4) | (!4)))), fac((sqrt(4)) | (!((4) % (4)))), fac((sqrt(4)) | (!((4) % (sqrt(4))))), fac((sqrt(4)) | (!((4) & (!4)))), fac((sqrt(4)) | (!((4) & (fac(4))))), fac((sqrt(4)) | (!((4) & (sqrt(4))))), fac((sqrt(4)) | (!((4) * (!4)))), fac((sqrt(4)) | (!((4) - (4)))), fac((sqrt(4)) | (!((4) >> (4)))), fac((sqrt(4)) | (!((4) >> (fac(4))))), fac((sqrt(4)) | (!((4) ^ (4)))), fac((sqrt(4)) | (!((fac(4)) % (4)))), fac((sqrt(4)) | (!((fac(4)) % (fac(4))))), fac((sqrt(4)) | (!((fac(4)) % (sqrt(4))))), fac((sqrt(4)) | (!((fac(4)) & (!4)))), fac((sqrt(4)) | (!((fac(4)) & (4)))), fac((sqrt(4)) | (!((fac(4)) & (sqrt(4))))), fac((sqrt(4)) | (!((fac(4)) * (!4)))), fac((sqrt(4)) | (!((fac(4)) - (fac(4))))), fac((sqrt(4)) | (!((fac(4)) >> (fac(4))))), fac((sqrt(4)) | (!((fac(4)) ^ (fac(4))))), fac((sqrt(4)) | (!((sqrt(4)) % (sqrt(4))))), fac((sqrt(4)) | 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fac(((5) + (fac(5))) >> (5)), fac(((5) ^ (fac(5))) >> (5)), fac(((5) | (fac(5))) >> (5)), fac(((fac(5)) & (fac(5))) >> (5)), fac(((fac(5)) + (!5)) >> (5)), fac(((fac(5)) + (5)) >> (5)), fac(((fac(5)) - (!5)) >> (5)), fac(((fac(5)) - (5)) >> (5)), fac(((fac(5)) << (!5)) >> (5)), fac(((fac(5)) >> (!5)) >> (5)), fac(((fac(5)) >> (5)) % (5)), fac(((fac(5)) >> (5)) % (fac(5))), fac(((fac(5)) >> (5)) + (!5)), fac(((fac(5)) >> (5)) - (!5)), fac(((fac(5)) >> (5)) << (!5)), fac(((fac(5)) >> (5)) >> (!5)), fac(((fac(5)) >> (5)) ^ (!5)), fac(((fac(5)) >> (5)) | (!5)), fac(((fac(5)) ^ (!5)) >> (5)), fac(((fac(5)) ^ (5)) >> (5)), fac(((fac(5)) | (!5)) >> (5)), fac(((fac(5)) | (5)) >> (5)), fac(((fac(5)) | (fac(5))) >> (5)), fac((5) ^ (fac((fac(5)) >> (5)))), fac((fac((!5) + (5))) >> (5)), fac((fac((!5) ^ (5))) >> (5)), fac((fac((!5) | (5))) >> (5)), fac((fac((5) % (fac(5)))) >> (5)), fac((fac((5) & (5))) >> (5)), fac((fac((5) + (!5))) >> (5)), fac((fac((5) - (!5))) >> (5)), fac((fac((5) << (!5))) >> (5)), fac((fac((5) >> (!5))) >> (5)), fac((fac((5) ^ (!5))) >> (5)), fac((fac((5) | (!5))) >> (5)), fac((fac((5) | (5))) >> (5)), fac((fac((fac(5)) >> (5))) ^ (5)), fac((fac(5)) >> ((!5) + (5))), fac((fac(5)) >> ((!5) ^ (5))), fac((fac(5)) >> ((!5) | (5))), fac((fac(5)) >> ((5) % (fac(5)))), fac((fac(5)) >> ((5) & (5))), fac((fac(5)) >> ((5) + (!5))), fac((fac(5)) >> ((5) - (!5))), fac((fac(5)) >> ((5) << (!5))), fac((fac(5)) >> ((5) >> (!5))), fac((fac(5)) >> ((5) ^ (!5))), fac((fac(5)) >> ((5) | (!5))), fac((fac(5)) >> ((5) | (5))), fac((fac(5)) >> (sqrt((5) * (5)))), fac((sqrt((fac(5)) * (fac(5)))) >> (5)), ].every((v) => v === 6); 6 1 -ansSet.size() = 433 +ansSet.size() = 1943 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; -[((6) % (6)) + (6), ((6) % (6)) ^ (6), ((6) % (6)) | (6), ((6) % (fac(6))) % (fac(6)), ((6) % (fac(6))) & (6), ((6) % (fac(6))) | (6), ((6) & (6)) % (fac(6)), ((6) & (6)) & (6), ((6) & (6)) | (6), ((6) & (fac(6))) + (6), ((6) & (fac(6))) ^ (6), ((6) & (fac(6))) | (6), ((6) * (6)) / (6), ((6) * (fac(6))) / (fac(6)), ((6) + (6)) - (6), ((6) + (fac(6))) % (fac(6)), ((6) + (fac(6))) & (6), ((6) + (fac(6))) - (fac(6)), ((6) + (fac(6))) ^ (fac(6)), ((6) - (6)) + (6), ((6) - (6)) ^ (6), ((6) - (6)) | (6), ((6) - (fac(6))) & (6), ((6) - (fac(6))) + (fac(6)), ((6) / (6)) * (6), ((6) << (6)) >> (6), ((6) << (fac(6))) >> (fac(6)), ((6) >> (6)) + (6), ((6) >> (6)) ^ (6), ((6) >> (6)) | (6), ((6) >> (fac(6))) + (6), ((6) >> (fac(6))) ^ (6), ((6) >> (fac(6))) | (6), ((6) ^ (6)) + (6), ((6) ^ (6)) ^ (6), ((6) ^ (6)) | (6), ((6) ^ (fac(6))) % (fac(6)), ((6) ^ (fac(6))) & (6), ((6) ^ (fac(6))) - (fac(6)), ((6) ^ (fac(6))) ^ (fac(6)), ((6) | (6)) % (fac(6)), ((6) | (6)) & (6), ((6) | (6)) | (6), ((6) | (fac(6))) % (fac(6)), ((6) | (fac(6))) & (6), ((6) | (fac(6))) - (fac(6)), ((6) | (fac(6))) ^ (fac(6)), ((fac(6)) % (6)) + (6), ((fac(6)) % (6)) ^ (6), ((fac(6)) % (6)) | (6), ((fac(6)) % (fac(6))) + (6), ((fac(6)) % (fac(6))) ^ (6), ((fac(6)) % (fac(6))) | (6), ((fac(6)) & (6)) + (6), ((fac(6)) & (6)) ^ (6), ((fac(6)) & (6)) | (6), ((fac(6)) * (6)) / (fac(6)), ((fac(6)) + (6)) % (fac(6)), ((fac(6)) + (6)) & (6), ((fac(6)) + (6)) - (fac(6)), ((fac(6)) + (6)) ^ (fac(6)), ((fac(6)) - (fac(6))) + (6), ((fac(6)) - (fac(6))) ^ (6), ((fac(6)) - (fac(6))) | (6), ((fac(6)) / (fac(6))) * (6), ((fac(6)) >> (fac(6))) + (6), ((fac(6)) >> (fac(6))) ^ (6), ((fac(6)) >> (fac(6))) | (6), ((fac(6)) ^ (6)) % (fac(6)), ((fac(6)) ^ (6)) & (6), ((fac(6)) ^ (6)) - (fac(6)), ((fac(6)) ^ (6)) ^ (fac(6)), ((fac(6)) ^ (fac(6))) + (6), ((fac(6)) ^ (fac(6))) ^ (6), ((fac(6)) ^ (fac(6))) | (6), ((fac(6)) | (6)) % (fac(6)), ((fac(6)) | (6)) & (6), ((fac(6)) | (6)) - (fac(6)), ((fac(6)) | (6)) ^ (fac(6)), (6) % ((6) * (6)), (6) % ((6) * (fac(6))), (6) % ((6) ** (6)), (6) % ((6) + (6)), (6) % ((6) + (fac(6))), (6) % ((6) - (fac(6))), (6) % ((6) << (6)), (6) % ((6) << (fac(6))), (6) % ((6) ^ (fac(6))), (6) % ((6) | (fac(6))), (6) % ((fac(6)) & (fac(6))), (6) % ((fac(6)) * (6)), (6) % ((fac(6)) * (fac(6))), (6) % ((fac(6)) ** (6)), (6) % ((fac(6)) + (6)), (6) % ((fac(6)) + (fac(6))), (6) % ((fac(6)) - (6)), (6) % ((fac(6)) / (6)), (6) % ((fac(6)) << (6)), (6) % ((fac(6)) << (fac(6))), (6) % ((fac(6)) >> (6)), (6) % ((fac(6)) ^ (6)), (6) % ((fac(6)) | (6)), (6) % ((fac(6)) | (fac(6))), (6) % (fac((6) % (fac(6)))), (6) % (fac((6) & (6))), (6) % (fac((6) | (6))), (6) % (sqrt((6) ** (6))), (6) % (sqrt((fac(6)) * (fac(6)))), (6) % (sqrt((fac(6)) ** (6))), (6) & ((6) % (fac(6))), (6) & ((6) & (6)), (6) & ((6) + (fac(6))), (6) & ((6) - (fac(6))), (6) & ((6) ^ (fac(6))), (6) & ((6) | (6)), (6) & ((6) | (fac(6))), (6) & ((fac(6)) + (6)), (6) & ((fac(6)) ^ (6)), (6) & ((fac(6)) | (6)), (6) & (sqrt((6) * (6))), (6) * ((6) / (6)), (6) * ((fac(6)) / (fac(6))), (6) * (fac((6) % (6))), (6) * (fac((6) & (fac(6)))), (6) * (fac((6) - (6))), (6) * (fac((6) / (6))), (6) * (fac((6) >> (6))), (6) * (fac((6) >> (fac(6)))), (6) * (fac((6) ^ (6))), (6) * (fac((fac(6)) % (6))), (6) * (fac((fac(6)) % (fac(6)))), (6) * (fac((fac(6)) & (6))), (6) * (fac((fac(6)) - (fac(6)))), (6) * (fac((fac(6)) / (fac(6)))), (6) * (fac((fac(6)) >> (fac(6)))), (6) * (fac((fac(6)) ^ (fac(6)))), (6) * (sqrt((6) / (6))), (6) * (sqrt((fac(6)) / (fac(6)))), (6) ** ((6) / (6)), (6) ** ((fac(6)) / (fac(6))), (6) ** (fac((6) % (6))), (6) ** (fac((6) & (fac(6)))), (6) ** (fac((6) - (6))), (6) ** (fac((6) / (6))), (6) ** (fac((6) >> (6))), (6) ** (fac((6) >> (fac(6)))), (6) ** (fac((6) ^ (6))), (6) ** (fac((fac(6)) % (6))), (6) ** (fac((fac(6)) % (fac(6)))), (6) ** (fac((fac(6)) & (6))), (6) ** (fac((fac(6)) - (fac(6)))), (6) ** (fac((fac(6)) / (fac(6)))), (6) ** (fac((fac(6)) >> (fac(6)))), (6) ** (fac((fac(6)) ^ (fac(6)))), (6) ** (sqrt((6) / (6))), (6) ** (sqrt((fac(6)) / (fac(6)))), (6) + ((6) % (6)), (6) + ((6) & (fac(6))), (6) + ((6) - (6)), (6) + ((6) >> (6)), (6) + ((6) >> (fac(6))), (6) + ((6) ^ (6)), (6) + ((fac(6)) % (6)), (6) + ((fac(6)) % (fac(6))), (6) + ((fac(6)) & (6)), (6) + ((fac(6)) - (fac(6))), (6) + ((fac(6)) >> (fac(6))), (6) + ((fac(6)) ^ (fac(6))), (6) + (sqrt((6) % (6))), (6) + (sqrt((6) & (fac(6)))), (6) + (sqrt((6) - (6))), (6) + (sqrt((6) >> (6))), (6) + (sqrt((6) >> (fac(6)))), (6) + (sqrt((6) ^ (6))), (6) + (sqrt((fac(6)) % (6))), (6) + (sqrt((fac(6)) % (fac(6)))), (6) + (sqrt((fac(6)) & (6))), (6) + (sqrt((fac(6)) - (fac(6)))), (6) + (sqrt((fac(6)) >> (fac(6)))), (6) + (sqrt((fac(6)) ^ (fac(6)))), (6) - ((6) % (6)), (6) - ((6) & (fac(6))), (6) - ((6) - (6)), (6) - ((6) >> (6)), (6) - ((6) >> (fac(6))), (6) - ((6) ^ (6)), (6) - ((fac(6)) % (6)), (6) - ((fac(6)) % (fac(6))), (6) - ((fac(6)) & (6)), (6) - ((fac(6)) - (fac(6))), (6) - ((fac(6)) >> (fac(6))), (6) - ((fac(6)) ^ (fac(6))), (6) - (sqrt((6) % (6))), (6) - (sqrt((6) & (fac(6)))), (6) - (sqrt((6) - (6))), (6) - (sqrt((6) >> (6))), (6) - (sqrt((6) >> (fac(6)))), (6) - (sqrt((6) ^ (6))), (6) - (sqrt((fac(6)) % (6))), (6) - (sqrt((fac(6)) % (fac(6)))), (6) - (sqrt((fac(6)) & (6))), (6) - (sqrt((fac(6)) - (fac(6)))), (6) - (sqrt((fac(6)) >> (fac(6)))), (6) - (sqrt((fac(6)) ^ (fac(6)))), (6) / ((6) / (6)), (6) / ((fac(6)) / (fac(6))), (6) / (fac((6) % (6))), (6) / (fac((6) & (fac(6)))), (6) / (fac((6) - (6))), (6) / (fac((6) / (6))), (6) / (fac((6) >> (6))), (6) / (fac((6) >> (fac(6)))), (6) / (fac((6) ^ (6))), (6) / (fac((fac(6)) % (6))), (6) / (fac((fac(6)) % (fac(6)))), (6) / (fac((fac(6)) & (6))), (6) / (fac((fac(6)) - (fac(6)))), (6) / (fac((fac(6)) / (fac(6)))), (6) / (fac((fac(6)) >> (fac(6)))), (6) / (fac((fac(6)) ^ (fac(6)))), (6) / (sqrt((6) / (6))), (6) / (sqrt((fac(6)) / (fac(6)))), (6) << ((6) % (6)), (6) << ((6) & (fac(6))), (6) << ((6) ** (6)), (6) << ((6) - (6)), (6) << ((6) << (6)), (6) << ((6) << (fac(6))), (6) << ((6) >> (6)), (6) << ((6) >> (fac(6))), (6) << ((6) ^ (6)), (6) << ((fac(6)) % (6)), (6) << ((fac(6)) % (fac(6))), (6) << ((fac(6)) & (6)), (6) << ((fac(6)) * (fac(6))), (6) << ((fac(6)) ** (6)), (6) << ((fac(6)) - (fac(6))), (6) << ((fac(6)) << (6)), (6) << ((fac(6)) << (fac(6))), (6) << ((fac(6)) >> (fac(6))), (6) << ((fac(6)) ^ (fac(6))), (6) << (sqrt((6) % (6))), (6) << (sqrt((6) & (fac(6)))), (6) << (sqrt((6) - (6))), (6) << (sqrt((6) >> (6))), (6) << (sqrt((6) >> (fac(6)))), (6) << (sqrt((6) ^ (6))), (6) << (sqrt((fac(6)) % (6))), (6) << (sqrt((fac(6)) % (fac(6)))), (6) << (sqrt((fac(6)) & (6))), (6) << (sqrt((fac(6)) ** (6))), (6) << (sqrt((fac(6)) - (fac(6)))), (6) << (sqrt((fac(6)) >> (fac(6)))), (6) << (sqrt((fac(6)) ^ (fac(6)))), (6) >> ((6) % (6)), (6) >> ((6) & (fac(6))), (6) >> ((6) ** (6)), (6) >> ((6) - (6)), (6) >> ((6) << (6)), (6) >> ((6) << (fac(6))), (6) >> ((6) >> (6)), (6) >> ((6) >> (fac(6))), (6) >> ((6) ^ (6)), (6) >> ((fac(6)) % (6)), (6) >> ((fac(6)) % (fac(6))), (6) >> ((fac(6)) & (6)), (6) >> ((fac(6)) * (fac(6))), (6) >> ((fac(6)) ** (6)), (6) >> ((fac(6)) - (fac(6))), (6) >> ((fac(6)) << (6)), (6) >> ((fac(6)) << (fac(6))), (6) >> ((fac(6)) >> (fac(6))), (6) >> ((fac(6)) ^ (fac(6))), (6) >> (sqrt((6) % (6))), (6) >> (sqrt((6) & (fac(6)))), (6) >> (sqrt((6) - (6))), (6) >> (sqrt((6) >> (6))), (6) >> (sqrt((6) >> (fac(6)))), (6) >> (sqrt((6) ^ (6))), (6) >> (sqrt((fac(6)) % (6))), (6) >> (sqrt((fac(6)) % (fac(6)))), (6) >> (sqrt((fac(6)) & (6))), (6) >> (sqrt((fac(6)) ** (6))), (6) >> (sqrt((fac(6)) - (fac(6)))), (6) >> (sqrt((fac(6)) >> (fac(6)))), (6) >> (sqrt((fac(6)) ^ (fac(6)))), (6) ^ ((6) % (6)), (6) ^ ((6) & (fac(6))), (6) ^ ((6) - (6)), (6) ^ ((6) >> (6)), (6) ^ ((6) >> (fac(6))), (6) ^ ((6) ^ (6)), (6) ^ ((fac(6)) % (6)), (6) ^ ((fac(6)) % (fac(6))), (6) ^ ((fac(6)) & (6)), (6) ^ ((fac(6)) - (fac(6))), (6) ^ ((fac(6)) >> (fac(6))), (6) ^ ((fac(6)) ^ (fac(6))), (6) ^ (sqrt((6) % (6))), (6) ^ (sqrt((6) & (fac(6)))), (6) ^ (sqrt((6) - (6))), (6) ^ (sqrt((6) >> (6))), (6) ^ (sqrt((6) >> (fac(6)))), (6) ^ (sqrt((6) ^ (6))), (6) ^ (sqrt((fac(6)) % (6))), (6) ^ (sqrt((fac(6)) % (fac(6)))), (6) ^ (sqrt((fac(6)) & (6))), (6) ^ (sqrt((fac(6)) - (fac(6)))), (6) ^ (sqrt((fac(6)) >> (fac(6)))), (6) ^ (sqrt((fac(6)) ^ (fac(6)))), (6) | ((6) % (6)), (6) | ((6) % (fac(6))), (6) | ((6) & (6)), (6) | ((6) & (fac(6))), (6) | ((6) - (6)), (6) | ((6) >> (6)), (6) | ((6) >> (fac(6))), (6) | ((6) ^ (6)), (6) | ((6) | (6)), (6) | ((fac(6)) % (6)), (6) | ((fac(6)) % (fac(6))), (6) | ((fac(6)) & (6)), (6) | ((fac(6)) - (fac(6))), (6) | ((fac(6)) >> (fac(6))), (6) | ((fac(6)) ^ (fac(6))), (6) | (sqrt((6) % (6))), (6) | (sqrt((6) & (fac(6)))), (6) | (sqrt((6) * (6))), (6) | (sqrt((6) - (6))), (6) | (sqrt((6) >> (6))), (6) | (sqrt((6) >> (fac(6)))), (6) | (sqrt((6) ^ (6))), (6) | (sqrt((fac(6)) % (6))), (6) | (sqrt((fac(6)) % (fac(6)))), (6) | (sqrt((fac(6)) & (6))), (6) | (sqrt((fac(6)) - (fac(6)))), (6) | (sqrt((fac(6)) >> (fac(6)))), (6) | (sqrt((fac(6)) ^ (fac(6)))), (fac((6) % (6))) * (6), (fac((6) & (fac(6)))) * (6), (fac((6) - (6))) * (6), (fac((6) / (6))) * (6), (fac((6) >> (6))) * (6), (fac((6) >> (fac(6)))) * (6), (fac((6) ^ (6))) * (6), (fac((fac(6)) % (6))) * (6), (fac((fac(6)) % (fac(6)))) * (6), (fac((fac(6)) & (6))) * (6), (fac((fac(6)) - (fac(6)))) * (6), (fac((fac(6)) / (fac(6)))) * (6), (fac((fac(6)) >> (fac(6)))) * (6), (fac((fac(6)) ^ (fac(6)))) * (6), (fac(6)) % ((6) - (fac(6))), (fac(6)) % ((fac(6)) - (6)), (fac(6)) + ((6) - (fac(6))), (fac(6)) - ((fac(6)) - (6)), (fac(6)) / ((fac(6)) / (6)), (fac(6)) ^ ((6) + (fac(6))), (fac(6)) ^ ((6) ^ (fac(6))), (fac(6)) ^ ((6) | (fac(6))), (fac(6)) ^ ((fac(6)) + (6)), (fac(6)) ^ ((fac(6)) ^ (6)), (fac(6)) ^ ((fac(6)) | (6)), (sqrt((6) % (6))) + (6), (sqrt((6) % (6))) ^ (6), (sqrt((6) % (6))) | (6), (sqrt((6) & (fac(6)))) + (6), (sqrt((6) & (fac(6)))) ^ (6), (sqrt((6) & (fac(6)))) | (6), (sqrt((6) * (6))) % (fac(6)), (sqrt((6) * (6))) & (6), (sqrt((6) * (6))) | (6), (sqrt((6) - (6))) + (6), (sqrt((6) - (6))) ^ (6), (sqrt((6) - (6))) | (6), (sqrt((6) / (6))) * (6), (sqrt((6) >> (6))) + (6), (sqrt((6) >> (6))) ^ (6), (sqrt((6) >> (6))) | (6), (sqrt((6) >> (fac(6)))) 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** (!7)))), fac((7) >> (sqrt((fac(7)) / (fac(7))))), ].every((v) => v === 6); 8 0 ansSet.size() = 0 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; [].every((v) => v === 6); 9 1 -ansSet.size() = 1075 +ansSet.size() = 4196 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; -[((9) % (fac(9))) - (sqrt(9)), ((9) & (9)) - (sqrt(9)), ((9) + (9)) / (sqrt(9)), ((9) - (sqrt(9))) % (9), ((9) - (sqrt(9))) % (fac(9)), ((9) - (sqrt(9))) << (fac(9)), ((9) - (sqrt(9))) >> (fac(9)), ((9) / (sqrt(9))) + (sqrt(9)), ((9) << (fac(9))) - (sqrt(9)), ((9) >> (fac(9))) - (sqrt(9)), ((9) | (9)) - (sqrt(9)), ((fac(9)) - (sqrt(9))) % (9), ((fac(9)) >> (9)) % (9), ((sqrt(9)) % (9)) + (sqrt(9)), ((sqrt(9)) % (fac(9))) + (sqrt(9)), ((sqrt(9)) & (sqrt(9))) + (sqrt(9)), ((sqrt(9)) * (sqrt(9))) - (sqrt(9)), ((sqrt(9)) + (sqrt(9))) % (9), ((sqrt(9)) + (sqrt(9))) % (fac(9)), ((sqrt(9)) + (sqrt(9))) << (fac(9)), ((sqrt(9)) + (sqrt(9))) >> (fac(9)), ((sqrt(9)) << (9)) % (9), ((sqrt(9)) << 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((!9) >> (fac(9)))), fac((sqrt(9)) << ((!9) >> (sqrt(9)))), fac((sqrt(9)) << ((!9) ^ (!9))), fac((sqrt(9)) << ((!9) ^ (fac(9)))), fac((sqrt(9)) << ((!9) | (!9))), fac((sqrt(9)) << ((!9) | (fac(9)))), fac((sqrt(9)) << ((9) % (9))), fac((sqrt(9)) << ((9) % (sqrt(9)))), fac((sqrt(9)) << ((9) & (!9))), fac((sqrt(9)) << ((9) & (fac(9)))), fac((sqrt(9)) << ((9) * (!9))), fac((sqrt(9)) << ((9) * (fac(9)))), fac((sqrt(9)) << ((9) - (9))), fac((sqrt(9)) << ((9) << (9))), fac((sqrt(9)) << ((9) >> (9))), fac((sqrt(9)) << ((9) ^ (9))), fac((sqrt(9)) << ((fac(9)) % (9))), fac((sqrt(9)) << ((fac(9)) % (fac(9)))), fac((sqrt(9)) << ((fac(9)) % (sqrt(9)))), fac((sqrt(9)) << ((fac(9)) & (!9))), fac((sqrt(9)) << ((fac(9)) & (9))), fac((sqrt(9)) << ((fac(9)) & (fac(9)))), fac((sqrt(9)) << ((fac(9)) & (sqrt(9)))), fac((sqrt(9)) << ((fac(9)) * (!9))), fac((sqrt(9)) << ((fac(9)) * (9))), fac((sqrt(9)) << ((fac(9)) * (fac(9)))), fac((sqrt(9)) << ((fac(9)) * (sqrt(9)))), fac((sqrt(9)) << ((fac(9)) ** (sqrt(9)))), fac((sqrt(9)) << ((fac(9)) + (!9))), fac((sqrt(9)) << ((fac(9)) + (fac(9)))), fac((sqrt(9)) << ((fac(9)) - (!9))), fac((sqrt(9)) << ((fac(9)) - (fac(9)))), fac((sqrt(9)) << ((fac(9)) / (9))), fac((sqrt(9)) << ((fac(9)) / (sqrt(9)))), fac((sqrt(9)) << ((fac(9)) << (!9))), fac((sqrt(9)) << ((fac(9)) << (9))), fac((sqrt(9)) << ((fac(9)) << (fac(9)))), fac((sqrt(9)) << ((fac(9)) << (sqrt(9)))), fac((sqrt(9)) << ((fac(9)) >> (!9))), fac((sqrt(9)) << ((fac(9)) >> (fac(9)))), fac((sqrt(9)) << ((fac(9)) ^ (!9))), fac((sqrt(9)) << ((fac(9)) ^ (fac(9)))), fac((sqrt(9)) << ((fac(9)) | (!9))), fac((sqrt(9)) << ((fac(9)) | (fac(9)))), fac((sqrt(9)) << ((sqrt(9)) % (sqrt(9)))), fac((sqrt(9)) << ((sqrt(9)) & (!9))), fac((sqrt(9)) << ((sqrt(9)) & (fac(9)))), fac((sqrt(9)) << ((sqrt(9)) * (!9))), fac((sqrt(9)) << ((sqrt(9)) * (fac(9)))), fac((sqrt(9)) << ((sqrt(9)) - (sqrt(9)))), fac((sqrt(9)) << ((sqrt(9)) << (9))), fac((sqrt(9)) << ((sqrt(9)) >> (9))), fac((sqrt(9)) << ((sqrt(9)) >> (sqrt(9)))), fac((sqrt(9)) << ((sqrt(9)) ^ (sqrt(9)))), fac((sqrt(9)) << (fac((!9) + (9)))), fac((sqrt(9)) << (fac((!9) ^ (9)))), fac((sqrt(9)) << (fac((!9) | (9)))), fac((sqrt(9)) << (fac((9) % (fac(9))))), fac((sqrt(9)) << (fac((9) & (9)))), fac((sqrt(9)) << (fac((9) + (!9)))), fac((sqrt(9)) << (fac((9) - (!9)))), fac((sqrt(9)) << (fac((9) << (!9)))), fac((sqrt(9)) << (fac((9) << (fac(9))))), fac((sqrt(9)) << (fac((9) >> (!9)))), fac((sqrt(9)) << (fac((9) >> (fac(9))))), fac((sqrt(9)) << (fac((9) ^ (!9)))), fac((sqrt(9)) << (fac((9) ^ (sqrt(9))))), fac((sqrt(9)) << (fac((9) | (!9)))), fac((sqrt(9)) << (fac((9) | (9)))), fac((sqrt(9)) << (fac((sqrt(9)) * (sqrt(9))))), fac((sqrt(9)) << (fac((sqrt(9)) ^ (9)))), fac((sqrt(9)) << (sqrt((!9) % (9)))), fac((sqrt(9)) << (sqrt((!9) % (fac(9))))), fac((sqrt(9)) << (sqrt((!9) % (sqrt(9))))), fac((sqrt(9)) << (sqrt((!9) & (!9)))), fac((sqrt(9)) << (sqrt((!9) & (9)))), fac((sqrt(9)) << (sqrt((!9) & (fac(9))))), fac((sqrt(9)) << (sqrt((!9) & (sqrt(9))))), fac((sqrt(9)) << (sqrt((!9) * (!9)))), fac((sqrt(9)) << (sqrt((!9) * (9)))), fac((sqrt(9)) << (sqrt((!9) * (fac(9))))), fac((sqrt(9)) << (sqrt((!9) * (sqrt(9))))), fac((sqrt(9)) << (sqrt((!9) ** (9)))), fac((sqrt(9)) << (sqrt((!9) ** (fac(9))))), fac((sqrt(9)) << (sqrt((!9) ** (sqrt(9))))), fac((sqrt(9)) << (sqrt((!9) + (!9)))), fac((sqrt(9)) << (sqrt((!9) - (!9)))), fac((sqrt(9)) << (sqrt((!9) / (9)))), fac((sqrt(9)) << (sqrt((!9) / (fac(9))))), fac((sqrt(9)) << (sqrt((!9) / (sqrt(9))))), fac((sqrt(9)) << (sqrt((!9) << (!9)))), fac((sqrt(9)) << (sqrt((!9) << (9)))), fac((sqrt(9)) << (sqrt((!9) << (fac(9))))), fac((sqrt(9)) << (sqrt((!9) << (sqrt(9))))), fac((sqrt(9)) << (sqrt((!9) >> (!9)))), fac((sqrt(9)) << (sqrt((!9) >> (9)))), fac((sqrt(9)) << (sqrt((!9) >> (fac(9))))), fac((sqrt(9)) << (sqrt((!9) >> (sqrt(9))))), fac((sqrt(9)) << (sqrt((!9) ^ (!9)))), fac((sqrt(9)) << (sqrt((!9) | (!9)))), fac((sqrt(9)) << (sqrt((9) % (9)))), fac((sqrt(9)) << (sqrt((9) % (sqrt(9))))), fac((sqrt(9)) << (sqrt((9) & (!9)))), fac((sqrt(9)) << (sqrt((9) & (fac(9))))), fac((sqrt(9)) << (sqrt((9) * (!9)))), fac((sqrt(9)) << (sqrt((9) - (9)))), fac((sqrt(9)) << (sqrt((9) >> (9)))), fac((sqrt(9)) << (sqrt((9) ^ (9)))), fac((sqrt(9)) << (sqrt((fac(9)) % (9)))), fac((sqrt(9)) << (sqrt((fac(9)) % (fac(9))))), fac((sqrt(9)) << (sqrt((fac(9)) % (sqrt(9))))), fac((sqrt(9)) << (sqrt((fac(9)) & (!9)))), fac((sqrt(9)) << (sqrt((fac(9)) & (9)))), fac((sqrt(9)) << (sqrt((fac(9)) & (sqrt(9))))), fac((sqrt(9)) << (sqrt((fac(9)) * (!9)))), fac((sqrt(9)) << (sqrt((fac(9)) * (fac(9))))), fac((sqrt(9)) << (sqrt((fac(9)) - (fac(9))))), fac((sqrt(9)) << (sqrt((fac(9)) ^ (fac(9))))), fac((sqrt(9)) << (sqrt((sqrt(9)) % (sqrt(9))))), fac((sqrt(9)) << (sqrt((sqrt(9)) & (!9)))), fac((sqrt(9)) << (sqrt((sqrt(9)) & (fac(9))))), fac((sqrt(9)) << (sqrt((sqrt(9)) * (!9)))), fac((sqrt(9)) << (sqrt((sqrt(9)) - (sqrt(9))))), fac((sqrt(9)) << (sqrt((sqrt(9)) >> (9)))), fac((sqrt(9)) << (sqrt((sqrt(9)) >> (sqrt(9))))), fac((sqrt(9)) << (sqrt((sqrt(9)) ^ (sqrt(9))))), fac((sqrt(9)) >> (!((!9) ** (!9)))), fac((sqrt(9)) >> (!((!9) + (9)))), fac((sqrt(9)) >> (!((!9) + (fac(9))))), fac((sqrt(9)) >> (!((!9) + (sqrt(9))))), fac((sqrt(9)) >> (!((!9) - (9)))), fac((sqrt(9)) >> (!((!9) - (fac(9))))), fac((sqrt(9)) >> (!((!9) - (sqrt(9))))), fac((sqrt(9)) >> (!((!9) ^ (9)))), fac((sqrt(9)) >> (!((!9) ^ (fac(9))))), fac((sqrt(9)) >> (!((!9) ^ (sqrt(9))))), fac((sqrt(9)) >> (!((!9) | (9)))), fac((sqrt(9)) >> (!((!9) | (fac(9))))), fac((sqrt(9)) >> (!((!9) | (sqrt(9))))), fac((sqrt(9)) >> (!((9) % (fac(9))))), fac((sqrt(9)) >> (!((9) & (9)))), fac((sqrt(9)) >> (!((9) & (sqrt(9))))), fac((sqrt(9)) >> (!((9) * (9)))), fac((sqrt(9)) >> (!((9) * (fac(9))))), fac((sqrt(9)) >> (!((9) * (sqrt(9))))), fac((sqrt(9)) >> (!((9) ** (!9)))), fac((sqrt(9)) >> (!((9) ** (9)))), fac((sqrt(9)) >> (!((9) ** (sqrt(9))))), fac((sqrt(9)) >> (!((9) + (!9)))), fac((sqrt(9)) >> (!((9) + (9)))), fac((sqrt(9)) >> (!((9) + (fac(9))))), fac((sqrt(9)) >> (!((9) + (sqrt(9))))), fac((sqrt(9)) >> (!((9) - (!9)))), fac((sqrt(9)) >> (!((9) - (fac(9))))), fac((sqrt(9)) >> (!((9) - (sqrt(9))))), fac((sqrt(9)) >> (!((9) / (9)))), fac((sqrt(9)) >> (!((9) / (sqrt(9))))), fac((sqrt(9)) >> (!((9) << (!9)))), fac((sqrt(9)) >> (!((9) << (9)))), fac((sqrt(9)) >> (!((9) << (fac(9))))), fac((sqrt(9)) >> (!((9) << (sqrt(9))))), fac((sqrt(9)) >> (!((9) >> (!9)))), fac((sqrt(9)) >> (!((9) >> (fac(9))))), fac((sqrt(9)) >> (!((9) >> (sqrt(9))))), fac((sqrt(9)) >> (!((9) ^ (!9)))), fac((sqrt(9)) >> (!((9) ^ (fac(9))))), fac((sqrt(9)) >> (!((9) ^ (sqrt(9))))), fac((sqrt(9)) >> (!((9) | (!9)))), fac((sqrt(9)) >> (!((9) | (9)))), fac((sqrt(9)) >> (!((9) | (fac(9))))), fac((sqrt(9)) >> (!((9) | (sqrt(9))))), fac((sqrt(9)) >> (!((fac(9)) & (fac(9))))), fac((sqrt(9)) >> (!((fac(9)) * (9)))), fac((sqrt(9)) >> (!((fac(9)) * (fac(9))))), fac((sqrt(9)) >> (!((fac(9)) * (sqrt(9))))), fac((sqrt(9)) >> (!((fac(9)) ** (!9)))), fac((sqrt(9)) >> (!((fac(9)) ** (sqrt(9))))), fac((sqrt(9)) >> (!((fac(9)) + (!9)))), fac((sqrt(9)) >> (!((fac(9)) + (9)))), fac((sqrt(9)) >> (!((fac(9)) + (fac(9))))), fac((sqrt(9)) >> (!((fac(9)) + (sqrt(9))))), fac((sqrt(9)) >> (!((fac(9)) - (!9)))), fac((sqrt(9)) >> (!((fac(9)) - (9)))), fac((sqrt(9)) >> (!((fac(9)) - (sqrt(9))))), fac((sqrt(9)) >> (!((fac(9)) / (9)))), fac((sqrt(9)) >> (!((fac(9)) / (fac(9))))), fac((sqrt(9)) >> (!((fac(9)) / (sqrt(9))))), fac((sqrt(9)) >> (!((fac(9)) << (!9)))), fac((sqrt(9)) >> (!((fac(9)) << (9)))), fac((sqrt(9)) >> (!((fac(9)) << (fac(9))))), fac((sqrt(9)) >> (!((fac(9)) << (sqrt(9))))), fac((sqrt(9)) >> (!((fac(9)) >> (!9)))), fac((sqrt(9)) >> (!((fac(9)) >> (9)))), fac((sqrt(9)) >> (!((fac(9)) >> (fac(9))))), fac((sqrt(9)) >> (!((fac(9)) >> (sqrt(9))))), fac((sqrt(9)) >> (!((fac(9)) ^ (!9)))), fac((sqrt(9)) >> (!((fac(9)) ^ (9)))), fac((sqrt(9)) >> (!((fac(9)) ^ (sqrt(9))))), fac((sqrt(9)) >> (!((fac(9)) | (!9)))), fac((sqrt(9)) >> (!((fac(9)) | (9)))), fac((sqrt(9)) >> (!((fac(9)) | (fac(9))))), fac((sqrt(9)) >> (!((fac(9)) | (sqrt(9))))), fac((sqrt(9)) >> (!((sqrt(9)) % (9)))), fac((sqrt(9)) >> (!((sqrt(9)) % (fac(9))))), fac((sqrt(9)) >> (!((sqrt(9)) & (9)))), fac((sqrt(9)) >> (!((sqrt(9)) & (sqrt(9))))), fac((sqrt(9)) >> (!((sqrt(9)) * (9)))), fac((sqrt(9)) >> (!((sqrt(9)) * (fac(9))))), fac((sqrt(9)) >> (!((sqrt(9)) * (sqrt(9))))), fac((sqrt(9)) >> (!((sqrt(9)) ** (!9)))), fac((sqrt(9)) >> (!((sqrt(9)) ** (9)))), fac((sqrt(9)) >> (!((sqrt(9)) ** (sqrt(9))))), fac((sqrt(9)) >> (!((sqrt(9)) + (!9)))), fac((sqrt(9)) >> (!((sqrt(9)) + (9)))), fac((sqrt(9)) >> (!((sqrt(9)) + (fac(9))))), fac((sqrt(9)) >> (!((sqrt(9)) + (sqrt(9))))), fac((sqrt(9)) >> (!((sqrt(9)) - (!9)))), fac((sqrt(9)) >> (!((sqrt(9)) - (9)))), fac((sqrt(9)) >> (!((sqrt(9)) - (fac(9))))), fac((sqrt(9)) >> (!((sqrt(9)) / (sqrt(9))))), fac((sqrt(9)) >> (!((sqrt(9)) << (!9)))), fac((sqrt(9)) >> (!((sqrt(9)) << (9)))), fac((sqrt(9)) >> (!((sqrt(9)) << (fac(9))))), fac((sqrt(9)) >> (!((sqrt(9)) << (sqrt(9))))), fac((sqrt(9)) >> (!((sqrt(9)) >> (!9)))), fac((sqrt(9)) >> (!((sqrt(9)) >> (fac(9))))), fac((sqrt(9)) >> (!((sqrt(9)) ^ (!9)))), fac((sqrt(9)) >> (!((sqrt(9)) ^ (9)))), fac((sqrt(9)) >> (!((sqrt(9)) ^ (fac(9))))), fac((sqrt(9)) >> (!((sqrt(9)) | (!9)))), fac((sqrt(9)) >> (!((sqrt(9)) | (9)))), fac((sqrt(9)) >> (!((sqrt(9)) | (fac(9))))), fac((sqrt(9)) >> (!((sqrt(9)) | (sqrt(9))))), fac((sqrt(9)) >> ((!9) % (9))), fac((sqrt(9)) >> ((!9) % (fac(9)))), fac((sqrt(9)) >> ((!9) % (sqrt(9)))), fac((sqrt(9)) >> ((!9) & (!9))), fac((sqrt(9)) >> ((!9) & (9))), fac((sqrt(9)) >> ((!9) & (fac(9)))), fac((sqrt(9)) >> ((!9) & (sqrt(9)))), fac((sqrt(9)) >> ((!9) * (!9))), fac((sqrt(9)) >> ((!9) * (9))), fac((sqrt(9)) >> ((!9) * (fac(9)))), fac((sqrt(9)) >> ((!9) * (sqrt(9)))), fac((sqrt(9)) >> ((!9) ** (9))), fac((sqrt(9)) >> ((!9) ** (fac(9)))), fac((sqrt(9)) >> ((!9) ** (sqrt(9)))), fac((sqrt(9)) >> ((!9) + (!9))), fac((sqrt(9)) >> ((!9) + (fac(9)))), fac((sqrt(9)) >> ((!9) - (!9))), fac((sqrt(9)) >> ((!9) - (fac(9)))), fac((sqrt(9)) >> ((!9) / (9))), fac((sqrt(9)) >> ((!9) / (fac(9)))), fac((sqrt(9)) >> ((!9) / (sqrt(9)))), fac((sqrt(9)) >> ((!9) << (!9))), fac((sqrt(9)) >> ((!9) << (9))), fac((sqrt(9)) >> ((!9) << (fac(9)))), fac((sqrt(9)) >> ((!9) << (sqrt(9)))), fac((sqrt(9)) >> ((!9) >> (!9))), fac((sqrt(9)) >> ((!9) >> (9))), fac((sqrt(9)) >> ((!9) >> (fac(9)))), fac((sqrt(9)) >> ((!9) >> (sqrt(9)))), fac((sqrt(9)) >> ((!9) ^ (!9))), fac((sqrt(9)) >> ((!9) ^ (fac(9)))), fac((sqrt(9)) >> ((!9) | (!9))), fac((sqrt(9)) >> ((!9) | (fac(9)))), fac((sqrt(9)) >> ((9) % (9))), fac((sqrt(9)) >> ((9) % (sqrt(9)))), fac((sqrt(9)) >> ((9) & (!9))), fac((sqrt(9)) >> ((9) & (fac(9)))), fac((sqrt(9)) >> ((9) * (!9))), fac((sqrt(9)) >> ((9) * (fac(9)))), fac((sqrt(9)) >> ((9) - (9))), fac((sqrt(9)) >> ((9) << (9))), fac((sqrt(9)) >> ((9) >> (9))), fac((sqrt(9)) >> ((9) ^ (9))), fac((sqrt(9)) >> ((fac(9)) % 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fac((sqrt(9)) | (sqrt((sqrt(9)) ^ (sqrt(9))))), sqrt(((9) * (sqrt(9))) + (9)), sqrt(((9) + (sqrt(9))) * (sqrt(9))), sqrt(((sqrt(9)) * (9)) + (9)), sqrt(((sqrt(9)) ** (sqrt(9))) + (9)), sqrt(((sqrt(9)) + (9)) * (sqrt(9))), sqrt((9) + ((9) * (sqrt(9)))), sqrt((9) + ((sqrt(9)) * (9))), sqrt((9) + ((sqrt(9)) ** (sqrt(9)))), sqrt((9) + (sqrt((9) ** (sqrt(9))))), sqrt((sqrt((9) ** (sqrt(9)))) + (9)), sqrt((sqrt(9)) * ((9) + (sqrt(9)))), sqrt((sqrt(9)) * ((sqrt(9)) + (9))), ].every((v) => v === 6); 10 1 ansSet.size() = 3 let fac = (v) => v > 0 ? v * fac(v - 1) : 1, { sqrt } = Math; [fac(((fac(10)) >> (10)) % (10)), fac(((fac(10)) >> (10)) >> (10)), fac((fac(10)) >> ((10) + (10))), ].every((v) => v === 6); +ansSetSizes = [192, 648, 1436, 4326, 1686, 251, 1943, 367, 0, 4196, 3, ]