#include using namespace std; #define _p(...) (void)printf(__VA_ARGS__) #define forr(x,arr) for(auto&& x:arr) #define _overload3(_1,_2,_3,name,...) name #define _rep2(i,n) _rep3(i,0,n) #define _rep3(i,a,b) for(int i=int(a);i=int(a);i--) #define rrep(...) _overload3(__VA_ARGS__,_rrep3,_rrep2,)(__VA_ARGS__) #define all(x) (x).begin(),(x).end() #define bit(n) (1LL<<(n)) #define sz(x) ((int)(x).size()) #define fst first #define snd second #define _TMPL_OVERLOAD(_1,_2,name,...) name #define _TMPL1(T) template #define _TMPL2(T,U) template #define TMPL(...) _TMPL_OVERLOAD(__VA_ARGS__,_TMPL2,_TMPL1)(__VA_ARGS__) string DBG_DLM(int &i){return(i++==0?"":", ");} #define DBG_B(exp){int i=0;os<<"{";{exp;}os<<"}";return os;} TMPL(T)ostream&operator<<(ostream&os,vectorv); TMPL(T)ostream&operator<<(ostream&os,setv); TMPL(T)ostream&operator<<(ostream&os,queueq); TMPL(T)ostream&operator<<(ostream&os,priority_queueq); TMPL(T,K)ostream&operator<<(ostream&os,pairp); TMPL(T,K)ostream&operator<<(ostream&os,mapmp); TMPL(T,K)ostream&operator<<(ostream&os,unordered_mapmp); templatevoid DBG(ostream&os,TPL t){} templatevoid DBG(ostream&os,TPL t){os<<(I==0?"":", ")<(t);DBG(os,t);} TMPL(T,K)void DBG(ostream&os,pairp,string delim){os<<"("<t){os<<"(";DBG<0,tuple,Ts...>(os,t);os<<")";return os;} TMPL(T,K)ostream&operator<<(ostream&os,pairp){DBG(os,p,", ");return os;} TMPL(T)ostream&operator<<(ostream&os,vectorv){DBG_B(forr(t,v){os<s){DBG_B(forr(t,s){os<q){DBG_B(for(;q.size();q.pop()){os<q){DBG_B(for(;q.size();q.pop()){os<m){DBG_B(forr(p,m){os<");});} TMPL(T,K)ostream&operator<<(ostream&os,unordered_mapm){DBG_B(forr(p,m){os<");});} #define DBG_OVERLOAD(_1,_2,_3,_4,_5,_6,macro_name,...)macro_name #define DBG_LINE(){char s[99];sprintf(s,"line:%3d | ",__LINE__);cerr<>(istream&is,pair&p){is>>p.fst;is>>p.snd;return is;} TMPL(T)istream&operator>>(istream&is,vector&v){forr(e,v)is>>e;return is;} #define rea(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__); TMPL(T)void MACRO_VAR_Scan(T&t){cin>>t;} TMPL(H,...Ts)void MACRO_VAR_Scan(H&h,Ts&...ts) {cin>>h;MACRO_VAR_Scan(ts...);} #define rea_vecs(type,n,...)vector __VA_ARGS__;MACRO_VEC_ROW_Init(n,__VA_ARGS__);rep(i,n)MACRO_VEC_ROW_Scan(i,__VA_ARGS__); TMPL(T)void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); } TMPL(H,...Ts)void MACRO_VEC_ROW_Init(int n,H&h,Ts&...ts){h.resize(n);MACRO_VEC_ROW_Init(n,ts...);} TMPL(T)void MACRO_VEC_ROW_Scan(int p,T&t){cin>>t[p];} TMPL(H,...Ts)void MACRO_VEC_ROW_Scan(int p,H&h,Ts&...ts){cin>>h[p];MACRO_VEC_ROW_Scan(p,ts...);} #define rea_vec(type,n,c) vectorc(n);cin>>c; //#define int long long // consider risk of MLE using ll=long long; using pii=pair;using pll=pair;using pil=pair;using pli=pair; using vs=vector;using vvs=vector;using vvvs=vector; using vb=vector;using vvb=vector;using vvvb=vector; using vi=vector;using vvi=vector;using vvvi=vector; using vl=vector;using vvl=vector;using vvvl=vector; using vd=vector;using vvd=vector;using vvvd=vector; using vpii=vector;using vvpii=vector;using vvvpii=vector; templatebool amax(T&a,T&b){return abool amin(T&a,T&b){return a>b?a=b,1:0;} ll ri(){ll l;cin>>l;return l;} string rs(){string s;cin>>s;return s;} templateT read(){T t;cin>>t;return t;} const int mod = 1e9+7; template struct Mint { int x; Mint() : x(0) {} Mint(int y) : x(y >= 0 ? y % MOD : MOD - (-y) % MOD) {} Mint(signed long long sll) : x(sll % MOD) { if (x < 0) x += MOD; } Mint &operator+=(const Mint &rhs){ if((x += rhs.x) >= MOD) x -= MOD; return *this; } Mint &operator-=(const Mint &rhs){ if((x += MOD - rhs.x) >= MOD) x -= MOD; return *this; } Mint &operator*=(const Mint &rhs){ x = 1LL*x*rhs.x % MOD; return *this; } Mint &operator/=(const Mint &rhs){ x = (1LL*x*rhs.inv().x) % MOD; return *this; } Mint operator-() const { return Mint(-x); } Mint operator+(const Mint &rhs) const { return Mint(*this) += rhs; } Mint operator-(const Mint &rhs) const { return Mint(*this) -= rhs; } Mint operator*(const Mint &rhs) const { return Mint(*this) *= rhs; } Mint operator/(const Mint &rhs) const { return Mint(*this) /= rhs; } bool operator<(const Mint &rhs) const { return x < rhs.x; } Mint inv() const { signed a = x, b = MOD, u = 1, v = 0, t; while(b){ t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return Mint(u); } Mint operator^(unsigned long long t) const { Mint e = *this, res = 1; for(; t; e *= e, t>>=1) if (t & 1) res *= e; return res; } }; template ostream &operator<<(ostream &os, const Mint &rhs) { return os << rhs.x; } template istream &operator>>(istream &is, Mint &rhs) { long long s; is >> s; rhs = Mint(s); return is; }; using mint = Mint; using vm=vector;using vvm=vector;using vvvm=vector; bool dped[222][222]; mint dp[222][222]; mint calc(int a, int b) { if (a==1 || b==1) return 1; if (dped[a][b]) return dp[a][b]; dped[a][b] = 1; // ここ、なんでこうなるのか理解してない return dp[a][b] = calc(a-1, b) + calc(a, b-1); } mint solve() { rea(int, a, b, c); mint ret = 0; // ここも、なんでこうなるのか理解してない ret += calc(a, b + c + 1); ret += calc(b, c + a + 1); ret += calc(c, a + b + 1); rep(i, a) rep(j, b) rep(k, c) { ret += calc(i+1, c-k) * calc(j+1, a-i) * calc(k+1, b-j); } return ret; } void Main() { cout << solve() << endl; } signed main() { cin.tie(nullptr); ios::sync_with_stdio(false); int T;cin>>T; while (T--) Main(); return 0; }