#include #include #include #include #include #include #include #include #include using namespace std; using ll=long long; using ld=long double; using P=pair; #define MOD 1000000007LL #define INF 1000000000LL #define EPS 1e-10 #define FOR(i,n,m) for(ll i=n;i<(ll)m;i++) #define REP(i,n) FOR(i,0,n) #define DUMP(a) REP(d,a.size()){cout<> p >> q; ll n = round(sqrt(p)); vector

area(n + 1); REP(i,n + 1) { if(i == 0) { area[i].first = p + 1; area[i].second = INF + 10; } else { if(p % (i + 1) == 0) area[i].first = p / (i + 1) + 1; else area[i].first = p / (i + 1) + 1; area[i].second = area[i - 1].first - 1; } } vector area_sum(n + 1); REP(i,n + 1) { if(i == 0) { area_sum[i] = 0; continue; } ll fir = p % area[i].second; ll sec = p % area[i].first; area_sum[i] = (fir + sec) * (area[i].second - area[i].first + 1) / 2; if(i > 0) area_sum[i] += area_sum[i - 1]; } vector els; for(ll i = 1; i < area[n].first; i++) { els.pb(p % i); } vector els_sum(els.size()); els_sum[0] = els[0]; FOR(i,1,els.size()) { els_sum[i] = els[i] + els_sum[i - 1]; } vector l(q); vector r(q); REP(i,q) cin >> l[i] >> r[i]; REP(i,q) { if(r[i] <= (ll)els.size()) { ll ans = els_sum[r[i] - 1]; if(l[i] > 1) ans -= els_sum[l[i] - 2]; cout << ans << endl; continue; } ll ans = 0; if(l[i] <= (ll)els.size()) { ans += els_sum[(ll)els.size() - 1]; if(l[i] > 1) ans -= els_sum[l[i] - 2]; l[i] = area[n].first; } ll l_mod = -1, r_mod = -1; ll lb = n, ub = -1; while(lb - ub > 1) { ll m = (lb + ub) / 2; if(area[m].first <= l[i]) lb = m; else ub = m; } l_mod = lb; lb = n; ub = -1; while(lb - ub > 1) { ll m = (lb + ub) / 2; if(area[m].first <= r[i]) lb = m; else ub = m; } r_mod = lb; if(l_mod == r_mod) { ll fir = p % r[i]; ll sec = p % l[i]; ans += (r[i] - l[i] + 1) * (fir + sec) / 2; cout << ans << endl; continue; } ll fir = p % r[i]; ll sec = p % area[r_mod].first; ans += (r[i] - area[r_mod].first + 1) * (fir + sec) / 2; fir = p % area[l_mod].second; sec = p % l[i]; ans += (area[l_mod].second - l[i] + 1) * (fir + sec) / 2; l_mod--; r_mod++; if(l_mod < r_mod) { cout << ans << endl; } else { ans += area_sum[l_mod]; ans -= area_sum[r_mod - 1]; cout << ans << endl; } } return 0; }