import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } string COLOR(string s = "") { return "\x1b[" ~ s ~ "m"; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } // floor(a / b) Int divFloor(Int)(Int a, Int b) { return a / b - (((a ^ b) < 0 && a % b != 0) ? 1 : 0); } // ceil(a / b) Int divCeil(Int)(Int a, Int b) { return a / b + (((a ^ b) > 0 && a % b != 0) ? 1 : 0); } enum LIM = 2 * 10^^5 + 10; int[] fs; long[] fsSum; long solve(long L, long R) { long ans; // L <= k p < (k+1) p <= R const sqrtR = cast(long)(sqrt(cast(real)(R))); // k <= sqrt(R) foreach (k; 1 .. sqrtR + 1) { long pL = divCeil(L, k); long pR = divFloor(R, k + 1); if (pL <= pR) { ans += (fsSum[pR] - fsSum[pL - 1]); } } // k > sqrt(R) foreach (p; 1 .. sqrtR + 1) { long kL = max(sqrtR + 1, divCeil(L, p)); long kR = divFloor(R, p) - 1; if (kL <= kR) { ans += (kR - kL + 1) * fs[p]; } } debug writefln("solve [%s, %s] = %s", L, R, ans); ans *= -1; ans += (R*(R-1)/2 - (L-1)*(L-2)/2); debug writefln("solve [%s, %s] = %s", L, R, ans); return ans; } void main() { fs = iota(LIM).array; foreach (d; 1 .. LIM) { for (int n = 2 * d; n < LIM; n += d) fs[n] -= fs[d]; } // (1, 0) fs[1] -= 1; fsSum = new long[LIM]; foreach (n; 1 .. LIM) fsSum[n] = fsSum[n - 1] + fs[n]; try { for (; ; ) { const numCases = readInt; long ans; foreach (caseId; 0 .. numCases) { long L = readLong; long R = readLong; L ^= ans; R ^= ans; ans = solve(L, R); writeln(ans); } } } catch (EOFException e) { } }