#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; namespace { using Integer = long long; //__int128; template istream& operator >> (istream& is, pair& p){return is >> p.first >> p.second;} template istream& operator >> (istream& is, vector& vec){for(T& val: vec) is >> val; return is;} template istream& operator , (istream& is, T& val){ return is >> val;} template ostream& operator << (ostream& os, const pair& p){return os << p.first << " " << p.second;} template ostream& operator << (ostream& os, const vector& vec){for(size_t i=0; i ostream& operator , (ostream& os, const T& val){ return os << " " << val;} template void print(const H& head){ cout << head; } template void print(const H& head, const T& ... tail){ cout << head << " "; print(tail...); } template void println(const T& ... values){ print(values...); cout << endl; } template void eprint(const H& head){ cerr << head; } template void eprint(const H& head, const T& ... tail){ cerr << head << " "; eprint(tail...); } template void eprintln(const T& ... values){ eprint(values...); cerr << endl; } class range{ Integer start_, end_, step_; public: struct range_iterator{ Integer val, step_; range_iterator(Integer v, Integer step) : val(v), step_(step) {} Integer operator * (){return val;} void operator ++ (){val += step_;} bool operator != (range_iterator& x){return step_ > 0 ? val < x.val : val > x.val;} }; range(Integer len) : start_(0), end_(len), step_(1) {} range(Integer start, Integer end) : start_(start), end_(end), step_(1) {} range(Integer start, Integer end, Integer step) : start_(start), end_(end), step_(step) {} range_iterator begin(){ return range_iterator(start_, step_); } range_iterator end(){ return range_iterator( end_, step_); } }; inline string operator "" _s (const char* str, size_t size){ return move(string(str)); } constexpr Integer my_pow(Integer x, Integer k, Integer z=1){return k==0 ? z : k==1 ? z*x : (k&1) ? my_pow(x*x,k>>1,z*x) : my_pow(x*x,k>>1,z);} constexpr Integer my_pow_mod(Integer x, Integer k, Integer M, Integer z=1){return k==0 ? z%M : k==1 ? z*x%M : (k&1) ? my_pow_mod(x*x%M,k>>1,M,z*x%M) : my_pow_mod(x*x%M,k>>1,M,z);} constexpr unsigned long long operator "" _ten (unsigned long long value){ return my_pow(10,value); } inline int k_bit(Integer x, int k){return (x>>k)&1;} //0-indexed mt19937 mt(chrono::duration_cast(chrono::steady_clock::now().time_since_epoch()).count()); template string join(const vector& v, const string& sep){ stringstream ss; for(size_t i=0; i0) ss << sep; ss << v[i]; } return ss.str(); } inline string operator * (string s, int k){ string ret; while(k){ if(k&1) ret += s; s += s; k >>= 1; } return ret; } } constexpr long long mod = 1ll<<20; int cmb_two(long long n, long long r){ long long two = 0; for(long long i=2; i<=n; i*=2) two += n/i; for(long long i=2; i<=r; i*=2) two -= r/i; for(long long i=2; i<=n-r; i*=2) two -= (n-r)/i; return two; } long long totient(long long n){ long long ret = n; for(long long p=2; p*p <= n; p++){ if(n%p != 0) continue; while(n%p == 0){ n /= p; } ret = ret - ret / p; } if(n != 1){ ret = ret - ret / n; } return ret; } int main(){ for(int i=0; i<32; i++){ for(int j=0; j<=i; j++){ eprint( ".#"s[(i&j)==j], ""); } eprintln(""); } int t; cin >> t; auto tot = totient(mod); vector o(2000011, 1); for(int i=2; i<2000011; i++){ long long v = i; while(~v&1){ v>>=1; } o[i] = v%mod; } for(int i=2; i<2000011; i++){ (o[i] *= o[i-1]) %= mod; } auto ncr = [&](long long n, long long r){ long long odd = o[n] * my_pow_mod(o[r], tot-1, mod) % mod * my_pow_mod(o[n-r], tot-1, mod) % mod; long long two = cmb_two(n,r); return odd * my_pow_mod(2, two, mod) % mod; }; while(t--){ int a,b,c; // cin >> a,b,c; scanf("%d%d%d", &a,&b,&c); if(c%2==0){ println(0); continue; } long long x = (ncr(b+c-1, b) * c % mod + a - 1 + mod) % mod; //cout << "01"s[(x&a)==a] << endl; printf("%c\n", "01"[(x&a)==a]); } return 0; }