#include #define rep(i,a,b) for(int i=a;i=b;i--) #define fore(i,a) for(auto &i:a) #define all(x) (x).begin(),(x).end() #pragma GCC optimize ("-O3") using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); } typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b> v; //--------------------------------------------------------------------------------------------------- ll g(int L, int R) { int n = R - L + 1; return 1LL * (L + R) * n / 2; } //--------------------------------------------------------------------------------------------------- ll f(int x) { if (x <= RP) return B[x]; ll res = B[RP]; if (P < x) { res += g(P + 1, x); x = P; } int id = upper_bound(all(v), make_pair(x, -1)) - v.begin() - 1; res += C[id]; int l = v[id].first + 1; int r = x; if (l <= r) { int n = r - l + 1; res += 1LL * n * P; res -= g(l, r) * v[id+1].second; } return res; } //--------------------------------------------------------------------------------------------------- void _main() { cin >> P >> Q; for (RP = 1; RP * RP <= P; RP++) A[RP] = P / RP; rep(i, 1, RP+1) B[i] = B[i - 1] + P % i; rrep(i, RP - 1, 1) v.push_back({ A[i], i }); int n = v.size(); rep(i, 1, n) { C[i] = C[i - 1]; int l = v[i - 1].first + 1; int r = v[i].first; int n = r - l + 1; C[i] += 1LL * n * P; C[i] -= g(l, r) * v[i].second; } rep(q, 0, Q) { int L, R; cin >> L >> R; ll ans = f(R) - f(L - 1); printf("%lld\n", ans); } }