// #includes {{{ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; // }}} // pre-written code {{{ #define REP(i,n) for(int i=0;i<(int)(n);++i) #define RREP(i,a,b) for(int i=(int)(a);i<(int)(b);++i) #define FOR(i,c) for(__typeof((c).begin()) i=(c).begin();i!=(c).end();++i) #define LET(x,a) __typeof(a) x(a) //#define IFOR(i,it,c) for(__typeof((c).begin())it=(c).begin();it!=(c).end();++it,++i) #define ALL(c) (c).begin(), (c).end() #define MP make_pair #define EXIST(e,s) ((s).find(e)!=(s).end()) #define RESET(a) memset((a),0,sizeof(a)) #define SET(a) memset((a),-1,sizeof(a)) #define PB push_back #define DEC(it,command) __typeof(command) it=command //debug #define dump(x) cerr << #x << " = " << (x) << endl; #define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl; #define debug2(x) cerr << #x << " = [";REP(__ind,(x).size()){cerr << (x)[__ind] << ", ";}cerr << "] (L" << __LINE__ << ")" << endl; const int INF=0x3f3f3f3f; typedef long long Int; typedef unsigned long long uInt; #ifdef __MINGW32__ typedef double rn; #else typedef long double rn; #endif typedef pair pii; /* #ifdef MYDEBUG #include"debug.h" #include"print.h" #endif */ // }}} //{{{ gcd and inverse Int gcd(Int a, Int b) { return b != 0 ? gcd(b, a % b) : a; } Int lcm(Int a, Int b) { return a / gcd(a, b) *b; } // a x + b y = gcd(a, b) Int extgcd(Int a, Int b, Int &x, Int &y) { Int g = a; x = 1; y = 0; if (b != 0) g = extgcd(b, a % b, y, x), y -= (a / b) * x; return g; } Int invMod(Int a, Int m) { Int x, y; if (extgcd(a, m, x, y) == 1) return (x + m) % m; else return 0; // unsolvable } //}}} Int fact[2000010]; Int b[2000010]; int T,A,B,C; const int mod = (1<<30); int comb_mod(int n,int r){ Int b_count = b[n]-b[r]-b[n-r]; // assert(b_count>=0); if(b_count>=30)return 0; Int t = fact[n]*invMod(fact[r],mod)%mod*invMod(fact[n-r],mod)%mod; t*=(1ll<>=1,bct++; u*=t; u%=mod; } scanf("%d",&T); REP(ct,T){ scanf("%d%d%d",&A,&B,&C); if(C%2==0){ printf("0\n"); continue; } Int t = comb_mod(C+B-1,B); t*=C;t%=mod; t+=A-1;t%=mod; int ans; // cerr<