#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; } struct BinCoeffPrimePower { vector fact; //(x!)_p vector factinv; //fact[x]^{-1} mod P void init(int maxN_, int p_, int q_) { assert(1 < p_ && 1 <= q_); p = p_, q = q_; P = p; for (int k = 1; k < q; ++k) P *= p; int maxN = min(max(0, maxN_), P - 1); fact.resize(maxN + 1); fact[0] = 1; for (int x = 1; x <= maxN; ++x) { fact[x] = x % p == 0 ? fact[x - 1] : mul(fact[x - 1], x); } factinv.resize(maxN + 1); factinv[maxN] = inverse(fact[maxN]); for (int x = maxN; x >= 1; --x) { factinv[x - 1] = x % p == 0 ? factinv[x] : mul(factinv[x], x); } } int getP() const { return P; } int nCr(int n, int r) const { if (r > n) return 0; assert(0 <= n && (n >= getP() || n < (int)fact.size()) && 0 <= r); int z = n - r; int e0 = 0; for (int u = n / p; u > 0; u /= p) e0 += u; for (int u = r / p; u > 0; u /= p) e0 -= u; for (int u = z / p; u > 0; u /= p) e0 -= u; int em = 0; for (int u = n / P; u > 0; u /= p) em += u; for (int u = r / P; u > 0; u /= p) em -= u; for (int u = z / P; u > 0; u /= p) em -= u; int prod = 1; while (n > 0) { prod = mul(prod, fact[n % P]); prod = mul(prod, factinv[r % P]); prod = mul(prod, factinv[z % P]); n /= p, r /= p, z /= p; } if (!(p == 2 && q >= 3) && em % 2 != 0) prod = P - prod; for (int i = 0; i < e0 && i < q; ++i) prod = mul(prod, p); return prod; } private: int mul(int x, int y) const { return (long long)x * y % P; } int inverse(signed a) const { a %= P; if (a < 0) a += P; signed b = P, u = 1, v = 0; while (b) { signed t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } if (u < 0) u += P; return u; } int p, q, P; }; int main() { int T; scanf("%d", &T); const int N = 1000000; BinCoeffPrimePower bc; bc.init(N * 2, 2, 20); for (int ii = 0; ii < T; ++ii) { int A; int B; int C; scanf("%d%d%d", &A, &B, &C); //C(C(c+b-1,b) * c + a - 1, a) * c unsigned x = (unsigned)bc.nCr(C + B - 1, B) * C + A - 1; int ans = (A & ~x) == 0 && C % 2 == 1 ? 1 : 0; printf("%d\n", ans); } return 0; }