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| using namespace std; | |
| typedef long long ll; | |
| typedef long double ld; | |
| typedef pair<int,int> p32; | |
| typedef pair<ll,ll> p64; | |
| typedef pair<double,double> pdd; | |
| typedef vector<ll> v64; | |
| typedef vector<int> v32; | |
| typedef vector<vector<int> > vv32; | |
| typedef vector<vector<ll> > vv64; | |
| typedef vector<vector<p64> > vvp64; | |
| typedef vector<p64> vp64; | |
| typedef vector<p32> vp32; | |
| ll MOD = 998244353; | |
| double eps = 1e-12; | |
| //#define INF 2e18 | |
| const int N = 1e6 + 1; | |
| const long long mod = 1e9 + 7; | |
| //pre-computed factorial values | |
| unsigned long long f[N]; | |
| void fact(int n, long long m){ /////// DON'T FORGET TO CALL THIS FACT FUNCTION ////////// | |
| //factorials mod m | |
| f[0]=1; | |
| for(int i=1; i<=n; i++){ | |
| f[i]=(f[i-1]*i)%m; | |
| } | |
| } | |
| // To calculates a^x mod m in logarithmic time O(logx). | |
| unsigned long long modPow(unsigned long long a, int x, long long int m) { | |
| unsigned long long res = 1; | |
| a=a%m; | |
| while(x > 0) { | |
| if( x & 1) { | |
| res = (res * a) % m; | |
| } | |
| a = (a * a) % m; | |
| x = x >> 1; // x=x/2; | |
| } | |
| return res; | |
| } | |
| unsigned long long modInverse(unsigned long long a,long long m){ | |
| return modPow(a,m-2,m); | |
| } | |
| unsigned long long chooseMod(unsigned long long n, long long r, long long m){ | |
| //base Case | |
| if(r==0){ | |
| return 1; | |
| } | |
| if(n<r){ | |
| return 0; | |
| } | |
| return (f[n] * modInverse(f[r], m) % m * modInverse(f[n-r],m) %m) %m; | |
| } | |
| void solve(ll n){ | |
| ll a, b, d; | |
| cin>>a>>b>>d; | |
| ll res = chooseMod(n, a, mod); | |
| ll t = chooseMod(b, d, mod); | |
| res = (res * modPow(t, a, mod))%mod; | |
| cout<<res<<endl; | |
| } | |
| int main() | |
| { | |
| fast_cin(); | |
| fact(N, mod); | |
| ll n; | |
| while(cin>>n){ | |
| //cout << "Case #" << it+1 << ": "; | |
| solve(n); | |
| } | |
| return 0; | |
| } |