#include using namespace std; const int64_t MOD = 1e9+7; void add(int64_t& a, int64_t b){ a = (a+b) % MOD; } void mul(int64_t& a, int64_t b){ a = a*b % MOD; } int64_t power_mod(int64_t num, int64_t power){ int64_t prod = 1; num %= MOD; while(power > 0){ if(power&1) prod = prod * num % MOD; num = num * num % MOD; power >>= 1; } return prod; } int64_t extgcd(int64_t a, int64_t b, int64_t& x, int64_t& y){ int64_t d = a; if(b != 0){ d = extgcd(b, a%b, y, x); y -= (a/b) * x; }else{ x = 1; y = 0; } return d; } int64_t inv_mod(int64_t a){ int64_t x, y; extgcd(a, MOD, x, y); return (MOD + x%MOD) % MOD; } int64_t comb_mod(int64_t N, int64_t K){ int64_t res = 1; for(int i=0; i> N; N -= 4; int64_t d0 = comb_mod(N+2, 2); int64_t d2 = (N/2+1) % MOD; int64_t d3 = (N%3 == 0); add(d2 , MOD - d3); add(d0, MOD - (3*d2 + d3) % MOD); mul(d0, inv_mod(6)); int64_t ans = (d0 + d2 + d3) % MOD; cout << ans << endl; }