#ifndef ONLINE_JUDGE #define _GLIBCXX_DEBUG #endif #include #include #include using namespace std; using namespace atcoder; using ll = long long; using mint = modint998244353; //using mint = modint1000000007; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repu(i, s, t) for (int i = (int)(s); i < (int)(t); i++) #define repd(i, s, t) for (int i = (int)(s)-1; i >= (int)(t); i--) #define all(v) v.begin(), v.end() void _u() { cerr << endl; } template void _u(H&& h, T&&... t) { cerr << h << ", "; _u(move(t)...); } #define U(...) { cerr << #__VA_ARGS__ << ": "; _u(__VA_ARGS__); } template bool chmax(T &a, const T b) { if(a >= b) return false; a = b; return true; } template bool chmin(T &a, const T b) { if(a <= b) return false; a = b; return true; } template istream& operator>>(istream &in, vector &a) { for(T &x: a) in >> x; return in; } template ostream& operator<<(ostream &out, const vector &a) { for(const T &x: a) out << x << ' '; return out; } const int di[] = {1, 0, -1, 0, 1, 1, -1, -1, 0}; const int dj[] = {0, 1, 0, -1, -1, 1, 1, -1, 0}; int main() { int t; cin >> t; ll ans = 0; const int M = 2e5 + 10; vector w(M); iota(all(w), -1); w[0] = 0; repu(i, 1, M) { for(int j = i+i; j < M; j += i) w[j] -= w[i]; } vector ccu(M+1); rep(i, M) ccu[i+1] = ccu[i] + w[i]; while(t--) { ll a, b; cin >> a >> b; int l = a^ans, r = b^ans; ans = (l+r-2) * ll(r-l+1) / 2; auto calc = [&](int n) { vector res; for(int i = 1; i < n;) { res.push_back(i); int x = (n-1) / i; int ni = (n-1) / x + 1; i = ni; } res.push_back(n); return res; }; auto vr = calc(r+1); auto vl = calc(l); vl.push_back(r+1); int pl = 0, pr = 0; while(pl < vl.size()-1 && pr < vr.size()-1) { int xl = (l-1) / vl[pl], xr = r / vr[pr]; if(xl < xr) { int ql = max(vl[pl], vr[pr]), qr = min(vl[pl+1], vr[pr+1]); ans -= ll(xr - xl - 1) * (ccu[qr] - ccu[ql]); } if(vl[pl+1] <= vr[pr+1]) pl++; else pr++; } cout << ans << '\n'; } return 0; }