#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define popcount __builtin_popcount using namespace std; typedef long long ll; typedef pair P; const ll MOD=1e9+7; ll powmod(ll a, ll k){ ll ap=a, ans=1; while(k){ if(k&1){ ans*=ap; ans%=MOD; } ap=ap*ap; ap%=MOD; k>>=1; } return ans; } ll inv(ll a){ return powmod(a, MOD-2); } ll f[1500001], invf[1500001]; void fac(int n){ f[0]=1; for(ll i=1; i<=n; i++) f[i]=f[i-1]*i%MOD; invf[n]=inv(f[n]); for(ll i=n-1; i>=0; i--) invf[i]=invf[i+1]*(i+1)%MOD; } ll comb(int x, int y){ if(x>n>>m; fac(m); ll ans=0; for(int i=(m-1)/2%n; i<=m; i+=n){ ans+=comb(m, i); ans%=MOD; } cout<