/* https://yukicoder.me/problems/no/1258 行列累乗では? dp[i][x] = i番目までのコインを投げて、表がx(mod2で)回出たときのスコア 表が出たとき dp[i+1][x^1] += dp[i][x] * M 裏が出たとき dp[i+1][x] += dp[i][x] */ #include using namespace std; #define rep(i,n,m) for(ll (i)=(n);(i)<(m);(i)++) #define rrep(i,n,m) for(ll (i)=(n);(i)>(m);(i)--) using ll = long long; const ll mod = 1000000007; vector> matrix_mul(vector> A,vector> B){ vector> ans(A.size(),vector (B[0].size(),0)); rep(ai,0,A.size()){ rep(bj,0,B[0].size()){ ll now = 0; rep(same,0,A[0].size()){ now += A[ai][same] * B[same][bj]; } if (mod > 0){ ans[ai][bj] = now % mod; }else{ ans[ai][bj] = now; } } } return ans; } vector> matrix_pow(vector> A,ll x){ vector> B(A.size(),vector (A[0].size(),0)); rep(i,0,A.size()){ rep(j,0,A[0].size()){ B[i][j] = A[i][j]; } } vector> ans(A.size(),vector (A[0].size(),0)); rep(i,0,A.size()) ans[i][i] = 1; while (x > 0){ if (x % 2 == 1){ ans = matrix_mul(ans,B); } B = matrix_mul(B,B); x /= 2; } return ans; } int main(){ int S; scanf("%d",&S); rep(loop,0,S){ ll N,M,X; scanf("%lld %lld %lld",&N,&M,&X); vector> A = {{1,0}}; vector> H = {{1,M},{M,1}}; vector> ans = matrix_mul(A , matrix_pow(H,N)); printf("%lld\n",ans[0][X]); } }