#include using namespace std; #define rep(i, n) for(int i = 0; i < n; i++) #define rep2(i, x, n) for(int i = x; i <= n; i++) #define rep3(i, x, n) for(int i = x; i >= n; i--) #define each(e, v) for(auto &e: v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; #define pq(type, name) priority_queue name #define iq(type, name) priority_queue, greater> name const int inf = (1<<30)-1; const ll INF = (1LL<<60)-1; const double pi = acos(-1.0); const double EPS = 1e-10; template bool chmax(T &x, const T &y){ if(x < y) {x = y; return true;} return false; } template bool chmin(T &x, const T &y){ if(x > y) {x = y; return true;} return false; } void in() {} template void in(Head &&head, Tail &&...tail){ cin >> head; in(forward(tail)...); } void out() {cout << '\n';} template void out(Head &&head, Tail &&...tail){ cout << head << ' '; out(forward(tail)...); } void outn() {} template void outn(Head &&head, Tail &&...tail){ cout << head << '\n'; outn(forward(tail)...); } template void in(pair &p){ cin >> p.first >> p.second; } template void out(pair p){ cout << p.first << ' ' << p.second << '\n'; } using vi = vector; using vll = vector; #define vec1(type, name, ...) vector name(__VA_ARGS__) #define VEC1(type, ...) vector(__VA_ARGS__) #define vec2(type, name, a, ...) vector> name(a, VEC1(type, __VA_ARGS__)) #define VEC2(type, a, ...) vector>(a, VEC1(type, __VA_ARGS__)) #define vec3(type, name, a, b, ...) vector>> name(a, VEC2(type, b, __VA_ARGS__)) #define VEC3(type, a, b, ...) vector>>(a, VEC2(type, b, __VA_ARGS__)) #define vec4(type, name, a, b, c, ...) vector>>> name(a, VEC3(type, b, c, __VA_ARGS__)) #define VEC4(type, a, b, c, ...) vector>>>(a, VEC3(type, b, c, __VA_ARGS__)) #define vec5(type, name, a, b, c, d, ...) vector>>>> name(a, VEC4(type, b, c, d, __VA_ARGS__)) #define VEC5(type, a, b, c, d, ...) vector>>>>(a, VEC4(type, b, c, d, __VA_ARGS__)) template void vin(vector &a){ rep(i, sz(a)) cin >> a[i]; } template void vout(const vector &a){ for(auto &e: a) cout << e << ' '; cout << '\n'; } template void voutn(const vector &a){ for(auto &e: a) cout << e << '\n'; } template void unique(vector &a){ sort(all(a)), a.erase(unique(all(a)), a.end()); } vector iota(int n){ vector ret(n); iota(all(ret), 0); return ret; } template vector iota(const vector &a, bool greater = false){ vector ret = iota(sz(a)); sort(all(ret), [&](int i, int j){ return (a[i] < a[j])^greater; }); return ret; } struct io_setup{ io_setup(){ ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; #define VEC(type, name, n) vector name(n); vin(name) #define INT(...) int __VA_ARGS__; in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__; in(__VA_ARGS__) #define CHAR(...) char __VA_ARGS__; in(__VA_ARGS__) #define STR(...) string __VA_ARGS__; in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__; in(__VA_ARGS__) const int MOD = 1000000007; //const int MOD = 998244353; template struct Mod_Int{ int x; Mod_Int() : x(0) {} Mod_Int(ll y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} Mod_Int &operator += (const Mod_Int &p){ if((x += p.x) >= mod) x -= mod; return *this; } Mod_Int &operator -= (const Mod_Int &p){ if((x += mod - p.x) >= mod) x -= mod; return *this; } Mod_Int &operator *= (const Mod_Int &p){ x = (int) (1LL * x * p.x % mod); return *this; } Mod_Int &operator /= (const Mod_Int &p){ *this *= p.inverse(); return *this; } Mod_Int &operator ++ () {return *this += Mod_Int(1);} Mod_Int operator ++ (int){ Mod_Int tmp = *this; ++*this; return tmp; } Mod_Int &operator -- () {return *this -= Mod_Int(1);} Mod_Int operator -- (int){ Mod_Int tmp = *this; --*this; return tmp; } Mod_Int operator - () const {return Mod_Int(-x);} Mod_Int operator + (const Mod_Int &p) const {return Mod_Int(*this) += p;} Mod_Int operator - (const Mod_Int &p) const {return Mod_Int(*this) -= p;} Mod_Int operator * (const Mod_Int &p) const {return Mod_Int(*this) *= p;} Mod_Int operator / (const Mod_Int &p) const {return Mod_Int(*this) /= p;} bool operator == (const Mod_Int &p) const {return x == p.x;} bool operator != (const Mod_Int &p) const {return x != p.x;} Mod_Int inverse() const { assert(*this != Mod_Int(0)); return pow(mod-2); } Mod_Int pow(ll k) const{ Mod_Int now = *this, ret = 1; for(; k; k >>= 1, now *= now){ if(k&1) ret *= now; } return ret; } friend ostream &operator << (ostream &os, const Mod_Int &p){ return os << p.x; } friend istream &operator >> (istream &is, Mod_Int &p){ ll a; is >> a; p = Mod_Int(a); return is; } }; template struct Combination{ using Mint = Mod_Int; vector _fac, _ifac; Combination(int n){ _fac.resize(n+1), _ifac.resize(n+1); _fac[0] = 1; rep2(i, 1, n) _fac[i] = _fac[i-1]*i; _ifac[n] = _fac[n].inverse(); rep3(i, n, 1) _ifac[i-1] = _ifac[i]*i; } Mint fac(int k) const {return _fac[k];} Mint ifac(int k) const {return _ifac[k];} Mint comb(int n, int k) const{ if(k < 0 || n < k) return 0; return fac(n) * ifac(n-k) * ifac(k); } Mint perm(int n, int k) const{ if(k < 0 || n < k) return 0; return fac(n) * ifac(n-k); } Mint second_stirling_number(ll n, int k){ //n個の区別できるボールをk個の区別できない箱に分割 Mint ret = 0; rep(i, k+1){ Mint tmp = comb(k, i)*Mint(k-i).pow(n); ret += ((i&1)? -tmp : tmp); } return ret*ifac(k); } }; using mint = Mod_Int; using comb = Combination; int main(){ INT(N, M); rep2(i, 1, M){ int y = N/i, a = N%i, b = i-a; mint x = y; if(b >= 2) out((x+1).pow(a+1)*x.pow(b-2)*(x-1)); if(b == 1) out((x+1).pow(a)*x); } }