#include "bits/stdc++.h" using namespace std; #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) static const int INF = 0x3f3f3f3f; static const long long INFL = 0x3f3f3f3f3f3f3f3fLL; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; template static void amin(T &x, U y) { if (y < x) x = y; } template static void amax(T &x, U y) { if (x < y) x = y; } template struct ModInt { static const int Mod = MOD; unsigned x; ModInt() : x(0) { } ModInt(signed sig) { int sigt = sig % MOD; if (sigt < 0) sigt += MOD; x = sigt; } ModInt(signed long long sig) { int sigt = sig % MOD; if (sigt < 0) sigt += MOD; x = sigt; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; } ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; } ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } }; typedef ModInt<1000000007> mint; int main() { int T; scanf("%d", &T); const int N = 101; mint dp[N][N]; rep(x, N) rep(y, N) { mint r; if (x == 0 || y == 0) { r = 1; } else { rep(j, y) r += dp[x - 1][y - 1 - j]; rep(i, x) r += dp[x - 1 - i][y - 1]; } dp[x][y] = r; } for (int ii = 0; ii < T; ++ ii) { int A; int B; int C; scanf("%d%d%d", &A, &B, &C); mint ans; //頂点を使う場合 rep(a, A) ans += dp[a][B] * dp[A - 1 - a][C - 1]; rep(b, B) ans += dp[b][C] * dp[B - 1 - b][A - 1]; rep(c, C) ans += dp[c][A] * dp[C - 1 - c][B - 1]; //頂点を使わない場合 //Lemma 中点のみを使う三角形がある // それがない場合、辺を共有する三角形をたどってくと頂点に行き着くので矛盾。 rep(a, A) rep(b, B) rep(c, C) ans += dp[a][B - 1 - b] * dp[b][C - 1 - c] * dp[c][A - 1 - a]; printf("%d\n", ans.get()); } return 0; }