import itertools def init(): N = 2 * 10**6 vs = list(range(N + 1)) vs[0] = 1 p2 = [0] * (N + 1) n2 = 1 while n2 <= N: n2 <<= 1 for k in range(n2, N + 1, n2): vs[k] //= 2 p2[k] += 1 fac = calc_fac(vs) # p2 = calc_p2(p2) # fac = list(itertools.accumulate(vs, lambda x, y: (x * y) & 0b11111111111111111111)) # fac = list(itertools.accumulate(vs, mulmod)) p2 = list(itertools.accumulate(p2)) inv = calc_inv(fac, vs) return vs, fac, inv, p2 def mulmod(x, y): return (x * y) & 0b11111111111111111111 def calc_fac(vs): fac = [1] * len(vs) f = 1 mask = 2**20 - 1 for i, v in enumerate(vs): f = (f * v) & mask fac[i] = f return fac def calc_p2(p2): ans = [0] * len(p2) c = 0 for i, p in enumerate(p2): c += p ans[i] = c return ans def calc_inv(fac, vs): mod = 2**20 mask = mod - 1 N = 2 * 10**6 inv = [1] * (N + 1) invc = 506201 inv[N] = invc for x in range(N - 1, 0, -1): invc = (invc * vs[x + 1]) & mask inv[x] = invc return inv vs, fac, inv, p2 = init() def solve(A, B, C): if C % 2 == 0: return 0 mask = 2**20 - 1 if A & (combin(B + C - 1, B, mask) * C + mask): return 0 else: return 1 def combin(n, b, mask): a = n - b # p2num = p2[n] # p2den1 = p2[a] # p2den2 = p2[b] # valnum = fac[n] # valden1 = inv[a] # valden2 = inv[b] tmp = p2[n] - p2[a] - p2[b] if tmp >= 20: return 0 return ((fac[n] * inv[a] * inv[b]) << tmp) & mask T = int(input()) for t in range(T): A, B, C = map(int, input().split()) print(solve(A, B, C))