#include "bits/stdc++.h" using namespace std; using ld= long double; const int mod = 1000000007; struct Mod { public: int num; Mod() : Mod(0) { ; } Mod(long long int n) : num((n % mod + mod) % mod) { static_assert(mod(n)) { ; } operator int() { return num; } }; Mod operator+(const Mod a, const Mod b) { return Mod((a.num + b.num) % mod); } Mod operator+(const long long int a, const Mod b) { return Mod(a) + b; } Mod operator+(const Mod a, const long long int b) { return b + a; } Mod operator++(Mod &a) { return a + Mod(1); } Mod operator-(const Mod a, const Mod b) { return Mod((mod + a.num - b.num) % mod); } Mod operator-(const long long int a, const Mod b) { return Mod(a) - b; } Mod operator--(Mod &a) { return a - Mod(1); } Mod operator*(const Mod a, const Mod b) { return Mod(((long long)a.num * b.num) % mod); } Mod operator*(const long long int a, const Mod b) { return Mod(a)*b; } Mod operator*(const Mod a, const long long int b) { return Mod(b)*a; } Mod operator*(const Mod a, const int b) { return Mod(b)*a; } Mod operator+=(Mod &a, const Mod b) { return a = a + b; } Mod operator+=(long long int &a, const Mod b) { return a = a + b; } Mod operator-=(Mod &a, const Mod b) { return a = a - b; } Mod operator-=(long long int &a, const Mod b) { return a = a - b; } Mod operator*=(Mod &a, const Mod b) { return a = a * b; } Mod operator*=(long long int &a, const Mod b) { return a = a * b; } Mod operator*=(Mod& a, const long long int &b) { return a = a * b; } Mod operator^(const Mod a, const int n) { if (n == 0) return Mod(1); Mod res = (a * a) ^ (n / 2); if (n % 2) res = res * a; return res; } Mod mod_pow(const Mod a, const long long int n) { if (n == 0) return Mod(1); Mod res = mod_pow((a * a), (n / 2)); if (n % 2) res = res * a; return res; } Mod inv(const Mod a) { return a ^ (mod - 2); } Mod operator/(const Mod a, const Mod b) { assert(b.num != 0); return a * inv(b); } Mod operator/(const long long int a, const Mod b) { return Mod(a) / b; } Mod operator/=(Mod &a, const Mod b) { return a = a / b; } #define MAX_MOD_N 1024000 Mod fact[MAX_MOD_N], factinv[MAX_MOD_N]; void init(const int amax = MAX_MOD_N) { fact[0] = Mod(1); factinv[0] = 1; for (int i = 0; i < amax - 1; ++i) { fact[i + 1] = fact[i] * Mod(i + 1); factinv[i + 1] = factinv[i] / Mod(i + 1); } } Mod comb(const int a, const int b) { return fact[a] * factinv[b] * factinv[a - b]; } map, Mod>memo; Mod solve(const vector&v) { if (memo.find(v) != memo.end())return memo[v]; if (v == vector{ 1, 1, 1 })return memo[v] = Mod(1); Mod ans = 0; for (int e1 = 0; e1 < v.size(); ++e1) { for (int x1 = 0; x1 < v[e1]; ++x1) { for (int e2plus = 1; e2plus < v.size(); ++e2plus) { int e2 = (e1 + e2plus) % v.size(); for (int x2 = 0; x2 < v[e2]; ++x2) { if (e2plus == 1 && x2 == 0)continue; if (x1 == 0 && e2plus == v.size() - 1)continue; { vectorav,bv; { for (int npluse = 0; npluse <= e2plus; ++npluse) { if (npluse == 0) { av.emplace_back(v[e1] - x1); } else if (npluse == e2plus) { av.emplace_back(x2); } else { av.emplace_back(v[(e1 + npluse) % v.size()]); } } av.emplace_back(1); } { for (int npluse = 0; npluse <= v.size()-e2plus; ++npluse) { if (npluse == 0) { bv.emplace_back(v[e2]-x2); } else if (npluse == v.size() - e2plus) { bv.emplace_back(x1); } else { bv.emplace_back(v[(e2 + npluse) % v.size()]); } } bv.emplace_back(1); } av.erase(remove_if(av.begin(), av.end(), [](const int x) {return x == 0; }),av.end()); bv.erase(remove_if(bv.begin(), bv.end(), [](const int x) {return x == 0; }), bv.end()); ans += solve(av)*solve(bv); } } } } } return memo[v] = ans / Mod(accumulate(v.begin(), v.end(), -3))/Mod(2); } int main() { int N; cin >> N; for (int i = 0; i < N; ++i) { int a, b, c; cin >> a >> b >> c; vectorv{ a + 1,b + 1,c + 1 }; Mod ans = solve(v); cout << ans << endl; } return 0; }