#include #include #include #include #include using namespace std; template inline void YES(T condition){ if(condition) cout << "YES" << endl; else cout << "NO" << endl; } template inline void Yes(T condition){ if(condition) cout << "Yes" << endl; else cout << "No" << endl; } template inline void POSS(T condition){ if(condition) cout << "POSSIBLE" << endl; else cout << "IMPOSSIBLE" << endl; } template inline void Poss(T condition){ if(condition) cout << "Possible" << endl; else cout << "Impossible" << endl; } template inline void First(T condition){ if(condition) cout << "First" << endl; else cout << "Second" << endl; } templateint character_count(T text, U character){ int ans = 0; for(U i: text){ ans += (i == character); } return ans; } long power(long base, long exponent, long module){ if(exponent % 2){ return power(base, exponent - 1, module) * base % module; }else if(exponent){ long root_ans = power(base, exponent / 2, module); return root_ans * root_ans % module; }else{ return 1; }} struct position{ int y, x; }; position move_pattern[4] = {{-1, 0}, {0, 1}, {1, 0}, {0, -1}}; // double euclidean(position first, position second){ return sqrt((second.x - first.x) * (second.x - first.x) + (second.y - first.y) * (second.y - first.y)); } template string to_string(pair x){ return to_string(x.first) + "," + to_string(x.second); } template void array_output(itr start, itr goal){ string ans; for(auto i = start; i != goal; i++){ ans += to_string(*i) + " "; } ans.pop_back(); cout << ans << endl; } template void cins(itr start, itr goal){ for(auto i = start; i != goal; i++){ cin >> (*i); } } template T gcd(T a, T b){ if(a && b){ return gcd(min(a, b), max(a, b) % min(a, b)); }else{ return a; }} template T lcm(T a, T b){ return a / gcd(a, b) * b; } #define mod long(1e9 + 7) #define all(x) (x).begin(), (x).end() #define bitcount(n) __builtin_popcountl(long(n)) #define fcout cout << fixed << setprecision(20) #define highest(x) (63 - __builtin_clzl(x)) int main(){ long P; int Q; cin >> P >> Q; int block_size = sqrt(P); for(int i = 0; i < Q; i++){ long L, R; cin >> L >> R; long ans = 0; for(int j = 1; P / j > block_size; j++){ ans += P % j; if(j >= R){ goto R_fin; } } for(int j = block_size; j >= 1; j--){ long lower = (P + j + 1) / (j + 1), upper = P / j; if(lower <= R && R <= upper){ ans += (P % lower + P % R) * (R - lower + 1) / 2; break; }else{ ans += (P % lower + P % upper) * (upper - lower + 1) / 2; } } ans += max(0l, R - P) * P; R_fin: L--; if(!L){ goto L_fin; } for(int j = 1; P / j > block_size; j++){ ans -= P % j; if(j >= L){ goto L_fin; } } for(int j = block_size; j >= 1; j--){ long lower = (P + j + 1) / (j + 1), upper = P / j; if(lower <= L && L <= upper){ ans -= (P % lower + P % L) * (L - lower + 1) / 2; break; }else{ ans -= (P % lower + P % upper) * (upper - lower + 1) / 2; } } L_fin: cout << ans << endl; } }