#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define all(a) a.begin(),a.end() #define rep(i, n) for (ll i = 0; i < (n); i++) #define pb push_back #define debug(x) cerr << __LINE__ << ' ' << #x << ':' << (x) << '\n' #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") using namespace std; typedef long long ll; typedef unsigned int uint; typedef unsigned long long ull; typedef long double ld; typedef pair P; typedef complex com; template using prique = priority_queue, greater>; constexpr int inf = 1000000010; constexpr ll INF = 1000000000000000010; constexpr int mod1e9 = 1000000007; constexpr int mod998 = 998244353; constexpr ld eps = 1e-12; constexpr ld pi = 3.141592653589793238; constexpr ll ten(int n) { return n ? 10 * ten(n - 1) : 1; }; int dx[] = { 1,0,-1,0,1,1,-1,-1 }; int dy[] = { 0,1,0,-1,1,-1,1,-1 }; void fail() { cout << "-1\n"; exit(0); } void no() { cout << "No\n"; exit(0); } template inline bool chmax(T &a, const U &b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T &a, const U &b) { if (a > b) { a = b; return true; } return false; } template istream &operator >> (istream &s, vector &v) { for (auto &e : v) s >> e; return s; } template ostream &operator << (ostream &s, const vector &v) { for (auto &e : v) s << e << ' '; return s; } struct fastio { fastio() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(20); } }fastio_; constexpr ll mod = mod1e9; template class modint { public: int n; modint() : n(0) {}; modint(ll n_) { n = n_ % mod; if (n < 0) n += mod; } modint operator -() const { return n > 0 ? mod - n : -n; } bool operator == (const modint &m) const { return n == m.n; } bool operator != (const modint &m) const { return n != m.n; } modint &operator += (const modint &m) { n += m.n; if (n >= mod) n -= mod; return *this; } modint &operator -= (const modint &m) { n -= m.n; if (n < 0) n += mod; return *this; } modint &operator *= (const modint &m) { n = ll(n) * m.n % mod; return *this; } modint &operator /= (const modint &m) { n = ll(n) * modinv(m).n % mod; return *this; } modint operator +(modint m) const { return modint(*this) += m; } modint operator -(modint m) const { return modint(*this) -= m; } modint operator *(modint m) const { return modint(*this) *= m; } modint operator /(modint m) const { return modint(*this) /= m; } modint &operator ++ () { *this += 1; return *this; } modint operator ++ (int) { *this += 1; return *this - 1; } modint &operator -- () { *this -= 1; return *this; } modint operator -- (int) { *this -= 1; return *this + 1; } modint pow(ll b) const { modint res = 1, a = modint(*this); while (b) { if (b & 1) res *= a; a *= a; b >>= 1; } return res; } friend istream &operator >> (istream &s, modint &a) { s >> a.n; return s; } friend ostream &operator << (ostream &s, modint &a) { s << a.n; return s; } }; using mint = modint; vector fac, inv, facinv; mint modinv(mint x) { ll a = x.n; if (a == 0) abort(); if (a < (ll)inv.size()) return inv[a]; ll b = mod, u = 1, v = 0; while (b) { ll t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } mint res = u; return res; } void modcalc(int n) { fac.resize(n); inv.resize(n); facinv.resize(n); fac[0] = 1; fac[1] = 1; inv[1] = 1; facinv[0] = 1; facinv[1] = 1; for (ll i = 2; i < n; i++) { fac[i] = fac[i - 1] * i; inv[i] = -inv[mod % i] * (mod / i); facinv[i] = facinv[i - 1] * inv[i]; } } mint comb(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fac[n] * facinv[k] * facinv[n - k]; } mint perm(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fac[n] * facinv[n - k]; } mint hom(ll n, ll k) { if (n < 0 || k < 0 || n == 0 && k > 0) return 0; if (n == 0 && k == 0) return 1; return fac[n + k - 1] * facinv[k] * facinv[n - 1]; } const int N = 3 * ten(6) + 10; vector prime(N); void init() { for (int i = 2; i < N; i++) { if (prime[i] == 0) { for (int j = i; j < N; j += i) { prime[j] = i; } } } } int main() { init(); ll h, w; cin >> h >> w; mint ans = h * (w - 1) + w * (h - 1); for (ll i = 1; i < h; i++) { vector f; int tmp = i; while (prime[tmp] != 0) { int p = prime[tmp]; f.pb(p); while (tmp % p == 0) tmp /= p; } int sz = f.size(); rep(j, 1 << sz) { int b = 1; int pcnt = 0; rep(k, sz) { if (j >> k & 1) { b *= f[k]; pcnt ^= 1; } } ll cnt = w / b; ll tsum = w * cnt - cnt * (cnt + 1) / 2 * b; mint sum = tsum * 2; sum *= (h - i); if (pcnt & 1) ans -= sum; else ans += sum; } } cout << ans << '\n'; }