#include using namespace std; #define DEBUG(x) cerr<<#x<<": "< #define vl vector #define vii vector< vector > #define vll vector< vector > #define vs vector #define pii pair #define pis pair #define psi pair #define pll pair template pair operator+(const pair &s, const pair &t) { return pair(s.first + t.first, s.second + t.second); } template pair operator-(const pair &s, const pair &t) { return pair(s.first - t.first, s.second - t.second); } template ostream& operator<<(ostream& os, pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define X first #define Y second #define rep(i,n) for(int i=0;i<(n);i++) #define rep1(i,n) for(int i=1;i<=(n);i++) #define rrep(i,n) for(int i=(n)-1;i>=0;i--) #define rrep1(i,n) for(int i=(n);i>0;i--) #define REP(i,a,b) for(int i=a;i bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; } #define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end()); const ll inf = 1000000001; const ll INF = 1e18; const ll MOD = 1000000007; //const ll MOD = 998244353; const double pi = 3.14159265358979323846; #define Sp(p) cout<> p >> q; const int N = 1000000; vl a(N); rep1 (i, N) { a[i - 1] = p % i; } vl sum(N + 1); rep (i, N) { sum[i + 1] = sum[i] + a[i]; } ll ma = p / (N + 1); vector num(ma + 1); ll pre = N; for (int i = ma; i >= 0; i--) { num[i].first = pre + 1; if (i == 0) { num[i].second = INF; } else { num[i].second = p / i; while (p / num[i].second < i) { num[i].second--; } while (p / num[i].second > i) { num[i].second++; } } pre = num[i].second; } //DEBUG_VEC(num); rep (i, q) { ll l, r; cin >> l >> r; ll res = 0; if (r <= N) { res = sum[r] - sum[l - 1]; cout << res << endl; continue; } if (l <= N) { res = sum[N] - sum[l - 1]; l = N + 1; } //DEBUG(res); rep (j, num.size()) { ll l2 = max(l, num[j].first), r2 = min(r, num[j].second); if (l2 > r2) { continue; } //DEBUG(l2); DEBUG(r2); ll s = p % l2; ll m = r2 - l2 + 1; res += s * m - j * (m - 1) * m / 2; //DEBUG(res); } cout << res << endl; } }