// Hacker Cup 2017 // Final Round // Fox Patrols // Jacob Plachta #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define LL long long #define LD long double #define PR pair #define Fox(i,n) for (i=0; i=0; i--) #define FoxR1(i,n) for (i=n; i>0; i--) #define FoxRI(i,a,b) for (i=b; i>=a; i--) #define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) #define Min(a,b) a=min(a,b) #define Max(a,b) a=max(a,b) #define Sz(s) int((s).size()) #define All(s) (s).begin(),(s).end() #define Fill(s,v) memset(s,v,sizeof(s)) #define pb push_back #define mp make_pair #define x first #define y second template T Abs(T x) { return(x<0 ? -x : x); } template T Sqr(T x) { return(x*x); } const int INF = (int)1e9; const LD EPS = 1e-12; const LD PI = acos(-1.0); bool Read(int &x) { char c,r=0,n=0; x=0; for(;;) { c=getchar(); if ((c<0) && (!r)) return(0); if ((c=='-') && (!r)) n=1; else if ((c>='0') && (c<='9')) x=x*10+c-'0',r=1; else if (r) break; } if (n) x=-x; return(1); } #define MOD 1000000007 // a^b int pw(LL a,int b) { int v=1; while (b) { if (b&1) v=v*a%MOD; a=a*a%MOD; b>>=1; } return(v); } // number of skylines of length n with max height h LL cnt(int n,int h) { return((pw(h,n)-pw(h-1,n)+MOD)%MOD); } int main() { // vars int T,t; int N,M,H; int h,ans; // testcase loop Read(T); Fox1(t,T) { // input Read(N),Read(M),Read(H); // consider all possible max tree heights ans=0; Fox1(h,H) ans=(ans+cnt(N,h)*cnt(M,h))%MOD; // output printf("Case #%d: %d\n",t,ans); } return(0); }