YouKn0wWho has two even integers x and y. Help him to find an integer n such that 1 ≤ n ≤ 2 ⋅ 10^{18} and n mod x = y mod n. Here, a mod b denotes the remainder of a after division by b. If there are multiple such integers, output any. It can be shown that such an integer always exists under the given constraints.

Input

The first line contains a single integer t (1 ≤ t ≤ 10^5) — the number of test cases.

The first and only line of each test case contains two integers x and y (2 ≤ x, y ≤ 10^9, both are even).

Output

For each test case, print a single integer n (1 ≤ n ≤ 2 ⋅ 10^{18}) that satisfies the condition mentioned in the statement. If there are multiple such integers, output any. It can be shown that such an integer always exists under the given constraints.

Example

Input


4
4 8
4 2
420 420
69420 42068


Output


4
10
420
9969128

Note

In the first test case, 4 mod 4 = 8 mod 4 = 0.

In the second test case, 10 mod 4 = 2 mod 10 = 2.

In the third test case, 420 mod 420 = 420 mod 420 = 0.

Difficulty: MEDIUM_HARD

Solutions:
import sys
from bisect import bisect_left as lb
from bisect import bisect_right as rb
from collections import deque
from queue import PriorityQueue as pq
from math import gcd
input_ = lambda : sys.stdin.readline().strip('\r\n')
ii = lambda : int(input_())
il = lambda : list(map(int, input_().split()))
ilf = lambda : list(map(float, input_().split()))
lii = lambda : list(map(int, list(ip())))
ip = lambda : input_()
fi = lambda : float(input_())
ap = lambda ab, bc, cd: ab[bc].append(cd)
li = lambda : list(input_())
pr = lambda x: print(x)
prinT = lambda x: print(x)
f = lambda : sys.stdout.flush()
inv = lambda x: pow(x, mod - 2, mod)
mod = 10 ** 9 + 7
mod1 = 998244353
for _ in range(ii()):
	(x, y) = il()
	if x == y:
		print(x)
		continue
	if x < y:
		n = y // x * x
		n += y % (y // x * x) // 2
		print(n)
	else:
		print(x + y)


t = int(input())
for i in range(t):
	(x, y) = map(int, input().split())
	if y < x:
		z = y + x
		print(z)
	elif y % x == 0:
		z = y
		print(z)
	else:
		df = y // x
		mnx = x * df
		no = (mnx + y) // 2
		print(no)


t = int(input())
for q in range(t):
	(x, y) = [int(x) for x in input().split()]
	if x <= y:
		k = y // x
		print((k * x + y) // 2)
	else:
		print(x + y)


inf = float('inf')
import sys
import pprint
import logging
from logging import getLogger
import array
import collections

def input():
	return sys.stdin.readline().rstrip('\r\n')

def maps():
	return [int(i) for i in input().split()]
logging.basicConfig(format='%(message)s', level=logging.WARNING)
logger = getLogger(__name__)
logger.setLevel(logging.INFO)

def debug(msg, *args):
	logger.info(f'{msg}={pprint.pformat(args)}')
for _ in range(*maps()):
	(x, y) = maps()
	if y == x:
		print(x)
	elif x > y:
		print(x + y)
	else:
		rem = y % x
		print(y // x * x + rem // 2)


for _ in range(int(input())):
	(x, y) = map(int, input().split())
	if x == y:
		print(x)
		n = x
		continue
	if x > y:
		print(x + y)
		n = x + y
		continue
	d = y % x // 2
	n = y - d
	print(n)


from sys import stdin
input = stdin.readline
for _ in range(int(input())):
	(x, y) = map(int, input().split())
	if x <= y:
		print(y - y % x // 2)
	else:
		print(x + y)


for _ in range(int(input())):
	(a, b) = list(map(int, input().split()))
	if a > b:
		print(a + b)
	elif a == b:
		print(a)
	else:
		print(b + b % a // 2 - b % a)


import sys
import bisect
from bisect import bisect_left as lb
from bisect import bisect_right as rb
input_ = lambda : sys.stdin.readline().strip('\r\n')
from math import log
from math import gcd
from math import atan2, acos
from random import randint
sa = lambda : input_()
sb = lambda : int(input_())
sc = lambda : input_().split()
sd = lambda : list(map(int, input_().split()))
sflo = lambda : list(map(float, input_().split()))
se = lambda : float(input_())
sf = lambda : list(input_())
flsh = lambda : sys.stdout.flush()
mod = 10 ** 9 + 7
mod1 = 998244353
gp = []
cost = []
dp = []
mx = []
ans1 = []
ans2 = []
special = []
specnode = []
a = 0
kthpar = []

def dfs2(root, par):
	if par != -1:
		dp[root] = dp[par] + 1
	for i in range(1, 20):
		if kthpar[root][i - 1] != -1:
			kthpar[root][i] = kthpar[kthpar[root][i - 1]][i - 1]
	for child in gp[root]:
		if child == par:
			continue
		kthpar[child][0] = root
		dfs(child, root)
ans = 0
a = []
(n, k) = (0, 0)
b = []
vis = []
tot = 0
time = []
time1 = []
adj = []
mx = -1
eps = 1e-07
x = 0
pref = []
lvl = []

def update_it(bit, i, val):
	n = len(bit)
	while i < n:
		bit[i] += val
		i += i & -i

def get_ans(bit, i):
	n = len(bit)
	tot = 0
	while i > 0:
		tot += bit[i]
		i -= i & -i
	return tot
prime = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29]

def hnbhai(tc):
	(x, y) = sd()
	if x == y:
		print(x)
		return
	if x > y:
		print(x + y)
		return
	n = y // x * x + y % (y // x * x) // 2
	print(n)
	return
for _ in range(sb()):
	hnbhai(_ + 1)


import os
import sys
import math
from io import BytesIO, IOBase
import io
from fractions import Fraction
import collections
from itertools import permutations
from collections import defaultdict
from collections import deque
from collections import Counter
import threading
BUFSIZE = 8192

class FastIO(IOBase):
	newlines = 0

	def __init__(self, file):
		self._fd = file.fileno()
		self.buffer = BytesIO()
		self.writable = 'x' in file.mode or 'r' not in file.mode
		self.write = self.buffer.write if self.writable else None

	def read(self):
		while True:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			if not b:
				break
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines = 0
		return self.buffer.read()

	def readline(self):
		while self.newlines == 0:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			self.newlines = b.count(b'\n') + (not b)
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines -= 1
		return self.buffer.readline()

	def flush(self):
		if self.writable:
			os.write(self._fd, self.buffer.getvalue())
			(self.buffer.truncate(0), self.buffer.seek(0))

class IOWrapper(IOBase):

	def __init__(self, file):
		self.buffer = FastIO(file)
		self.flush = self.buffer.flush
		self.writable = self.buffer.writable
		self.write = lambda s: self.buffer.write(s.encode('ascii'))
		self.read = lambda : self.buffer.read().decode('ascii')
		self.readline = lambda : self.buffer.readline().decode('ascii')
(sys.stdin, sys.stdout) = (IOWrapper(sys.stdin), IOWrapper(sys.stdout))
input = lambda : sys.stdin.readline().rstrip('\r\n')

class SegmentTree:

	def __init__(self, data, default=0, func=lambda a, b: max(a, b)):
		self._default = default
		self._func = func
		self._len = len(data)
		self._size = _size = 1 << (self._len - 1).bit_length()
		self.data = [default] * (2 * _size)
		self.data[_size:_size + self._len] = data
		for i in reversed(range(_size)):
			self.data[i] = func(self.data[i + i], self.data[i + i + 1])

	def __delitem__(self, idx):
		self[idx] = self._default

	def __getitem__(self, idx):
		return self.data[idx + self._size]

	def __setitem__(self, idx, value):
		idx += self._size
		self.data[idx] = value
		idx >>= 1
		while idx:
			self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1])
			idx >>= 1

	def __len__(self):
		return self._len

	def query(self, start, stop):
		if start == stop:
			return self.__getitem__(start)
		stop += 1
		start += self._size
		stop += self._size
		res = self._default
		while start < stop:
			if start & 1:
				res = self._func(res, self.data[start])
				start += 1
			if stop & 1:
				stop -= 1
				res = self._func(res, self.data[stop])
			start >>= 1
			stop >>= 1
		return res

	def __repr__(self):
		return 'SegmentTree({0})'.format(self.data)

class SegmentTree1:

	def __init__(self, data, default=0, func=lambda a, b: a + b):
		self._default = default
		self._func = func
		self._len = len(data)
		self._size = _size = 1 << (self._len - 1).bit_length()
		self.data = [default] * (2 * _size)
		self.data[_size:_size + self._len] = data
		for i in reversed(range(_size)):
			self.data[i] = func(self.data[i + i], self.data[i + i + 1])

	def __delitem__(self, idx):
		self[idx] = self._default

	def __getitem__(self, idx):
		return self.data[idx + self._size]

	def __setitem__(self, idx, value):
		idx += self._size
		self.data[idx] = value
		idx >>= 1
		while idx:
			self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1])
			idx >>= 1

	def __len__(self):
		return self._len

	def query(self, start, stop):
		if start == stop:
			return self.__getitem__(start)
		stop += 1
		start += self._size
		stop += self._size
		res = self._default
		while start < stop:
			if start & 1:
				res = self._func(res, self.data[start])
				start += 1
			if stop & 1:
				stop -= 1
				res = self._func(res, self.data[stop])
			start >>= 1
			stop >>= 1
		return res

	def __repr__(self):
		return 'SegmentTree({0})'.format(self.data)
MOD = 10 ** 9 + 7

class Factorial:

	def __init__(self, MOD):
		self.MOD = MOD
		self.factorials = [1, 1]
		self.invModulos = [0, 1]
		self.invFactorial_ = [1, 1]

	def calc(self, n):
		if n <= -1:
			print('Invalid argument to calculate n!')
			print('n must be non-negative value. But the argument was ' + str(n))
			exit()
		if n < len(self.factorials):
			return self.factorials[n]
		nextArr = [0] * (n + 1 - len(self.factorials))
		initialI = len(self.factorials)
		prev = self.factorials[-1]
		m = self.MOD
		for i in range(initialI, n + 1):
			prev = nextArr[i - initialI] = prev * i % m
		self.factorials += nextArr
		return self.factorials[n]

	def inv(self, n):
		if n <= -1:
			print('Invalid argument to calculate n^(-1)')
			print('n must be non-negative value. But the argument was ' + str(n))
			exit()
		p = self.MOD
		pi = n % p
		if pi < len(self.invModulos):
			return self.invModulos[pi]
		nextArr = [0] * (n + 1 - len(self.invModulos))
		initialI = len(self.invModulos)
		for i in range(initialI, min(p, n + 1)):
			next = -self.invModulos[p % i] * (p // i) % p
			self.invModulos.append(next)
		return self.invModulos[pi]

	def invFactorial(self, n):
		if n <= -1:
			print('Invalid argument to calculate (n^(-1))!')
			print('n must be non-negative value. But the argument was ' + str(n))
			exit()
		if n < len(self.invFactorial_):
			return self.invFactorial_[n]
		self.inv(n)
		nextArr = [0] * (n + 1 - len(self.invFactorial_))
		initialI = len(self.invFactorial_)
		prev = self.invFactorial_[-1]
		p = self.MOD
		for i in range(initialI, n + 1):
			prev = nextArr[i - initialI] = prev * self.invModulos[i % p] % p
		self.invFactorial_ += nextArr
		return self.invFactorial_[n]

class Combination:

	def __init__(self, MOD):
		self.MOD = MOD
		self.factorial = Factorial(MOD)

	def ncr(self, n, k):
		if k < 0 or n < k:
			return 0
		k = min(k, n - k)
		f = self.factorial
		return f.calc(n) * f.invFactorial(max(n - k, k)) * f.invFactorial(min(k, n - k)) % self.MOD
mod = 10 ** 9 + 7
omod = 998244353
prime = [True for i in range(10001)]
prime[0] = prime[1] = False

def SieveOfEratosthenes(n=10000):
	p = 2
	c = 0
	while p <= n:
		if prime[p] == True:
			c += 1
			for i in range(p, n + 1, p):
				prime[i] = False
		p += 1

class DSU:

	def __init__(self, R, C):
		self.par = range(R * C + 1)
		self.rnk = [0] * (R * C + 1)
		self.sz = [1] * (R * C + 1)

	def find(self, x):
		if self.par[x] != x:
			self.par[x] = self.find(self.par[x])
		return self.par[x]

	def union(self, x, y):
		(xr, yr) = (self.find(x), self.find(y))
		if xr == yr:
			return
		if self.rnk[xr] < self.rnk[yr]:
			(xr, yr) = (yr, xr)
		if self.rnk[xr] == self.rnk[yr]:
			self.rnk[xr] += 1
		self.par[yr] = xr
		self.sz[xr] += self.sz[yr]

	def size(self, x):
		return self.sz[self.find(x)]

	def top(self):
		return self.size(len(self.sz) - 1) - 1

class LazySegTree:

	def __init__(self, _op, _e, _mapping, _composition, _id, v):

		def set(p, x):
			assert 0 <= p < _n
			p += _size
			for i in range(_log, 0, -1):
				_push(p >> i)
			_d[p] = x
			for i in range(1, _log + 1):
				_update(p >> i)

		def get(p):
			assert 0 <= p < _n
			p += _size
			for i in range(_log, 0, -1):
				_push(p >> i)
			return _d[p]

		def prod(l, r):
			assert 0 <= l <= r <= _n
			if l == r:
				return _e
			l += _size
			r += _size
			for i in range(_log, 0, -1):
				if l >> i << i != l:
					_push(l >> i)
				if r >> i << i != r:
					_push(r >> i)
			sml = _e
			smr = _e
			while l < r:
				if l & 1:
					sml = _op(sml, _d[l])
					l += 1
				if r & 1:
					r -= 1
					smr = _op(_d[r], smr)
				l >>= 1
				r >>= 1
			return _op(sml, smr)

		def apply(l, r, f):
			assert 0 <= l <= r <= _n
			if l == r:
				return
			l += _size
			r += _size
			for i in range(_log, 0, -1):
				if l >> i << i != l:
					_push(l >> i)
				if r >> i << i != r:
					_push(r - 1 >> i)
			l2 = l
			r2 = r
			while l < r:
				if l & 1:
					_all_apply(l, f)
					l += 1
				if r & 1:
					r -= 1
					_all_apply(r, f)
				l >>= 1
				r >>= 1
			l = l2
			r = r2
			for i in range(1, _log + 1):
				if l >> i << i != l:
					_update(l >> i)
				if r >> i << i != r:
					_update(r - 1 >> i)

		def _update(k):
			_d[k] = _op(_d[2 * k], _d[2 * k + 1])

		def _all_apply(k, f):
			_d[k] = _mapping(f, _d[k])
			if k < _size:
				_lz[k] = _composition(f, _lz[k])

		def _push(k):
			_all_apply(2 * k, _lz[k])
			_all_apply(2 * k + 1, _lz[k])
			_lz[k] = _id
		_n = len(v)
		_log = _n.bit_length()
		_size = 1 << _log
		_d = [_e] * (2 * _size)
		_lz = [_id] * _size
		for i in range(_n):
			_d[_size + i] = v[i]
		for i in range(_size - 1, 0, -1):
			_update(i)
		self.set = set
		self.get = get
		self.prod = prod
		self.apply = apply
MIL = 1 << 20

def makeNode(total, count):
	return total * MIL + count

def getTotal(node):
	return math.floor(node / MIL)

def getCount(node):
	return node - getTotal(node) * MIL
nodeIdentity = makeNode(0.0, 0.0)

def nodeOp(node1, node2):
	return node1 + node2
	return makeNode(getTotal(node1) + getTotal(node2), getCount(node1) + getCount(node2))
identityMapping = -1

def mapping(tag, node):
	if tag == identityMapping:
		return node
	count = getCount(node)
	return makeNode(tag * count, count)

def composition(mapping1, mapping2):
	return mapping1 if mapping1 != identityMapping else mapping2

class LazySegUpdate:

	def __init__(self, N):
		self.N = N
		n = 4 * N
		self.tree = [0] * n
		self.lazy = [0] * n

	def queryHelper(self, index, s, e, l, r):
		if self.lazy[index]:
			update = self.lazy[index]
			self.lazy[index] = 0
			self.tree[index] = max(self.tree[index], update)
			if s != e:
				self.lazy[2 * index] = max(self.lazy[2 * index], update)
				self.lazy[2 * index + 1] = max(self.lazy[2 * index + 1], update)
		if s > e or s > r or e < l:
			return 0
		if s >= l and e <= r:
			return self.tree[index]
		mid = (s + e) // 2
		return max(self.queryHelper(2 * index, s, mid, l, r), self.queryHelper(2 * index + 1, mid + 1, e, l, r))

	def updateHelper(self, index, s, e, l, r, h):
		if self.lazy[index]:
			update = self.lazy[index]
			self.lazy[index] = 0
			self.tree[index] = max(self.tree[index], update)
			if s != e:
				self.lazy[2 * index] = max(self.lazy[2 * index], update)
				self.lazy[2 * index + 1] = max(self.lazy[2 * index + 1], update)
		if s > e or s > r or e < l:
			return
		if s >= l and e <= r:
			self.tree[index] = max(self.tree[index], h)
			if s != e:
				self.lazy[2 * index] = max(self.lazy[2 * index], h)
				self.lazy[2 * index + 1] = max(self.lazy[2 * index + 1], h)
			return
		mid = (s + e) // 2
		self.updateHelper(2 * index, s, mid, l, r, h)
		self.updateHelper(2 * index + 1, mid + 1, e, l, r, h)
		self.tree[index] = max(self.tree[2 * index], self.tree[2 * index + 1])

	def query(self, l, r):
		return self.queryHelper(1, 0, self.N - 1, l, r - 1)

	def update(self, l, r, h):
		self.updateHelper(1, 0, self.N - 1, l, r - 1, h)

def memodict(f):

	class memodict(dict):

		def __missing__(self, key):
			ret = self[key] = f(key)
			return ret
	return memodict().__getitem__

def pollard_rho(n):
	if n & 1 == 0:
		return 2
	if n % 3 == 0:
		return 3
	s = (n - 1 & 1 - n).bit_length() - 1
	d = n >> s
	for a in [2, 325, 9375, 28178, 450775, 9780504, 1795265022]:
		p = pow(a, d, n)
		if p == 1 or p == n - 1 or a % n == 0:
			continue
		for _ in range(s):
			prev = p
			p = p * p % n
			if p == 1:
				return math.gcd(prev - 1, n)
			if p == n - 1:
				break
		else:
			for i in range(2, n):
				(x, y) = (i, (i * i + 1) % n)
				f = math.gcd(abs(x - y), n)
				while f == 1:
					(x, y) = ((x * x + 1) % n, (y * y + 1) % n)
					y = (y * y + 1) % n
					f = math.gcd(abs(x - y), n)
				if f != n:
					return f
	return n

@memodict
def prime_factors(n):
	if n <= 1:
		return Counter()
	f = pollard_rho(n)
	return Counter([n]) if f == n else prime_factors(f) + prime_factors(n // f)

def distinct_factors(n):
	factors = [1]
	for (p, exp) in prime_factors(n).items():
		factors += [p ** i * factor for factor in factors for i in range(1, exp + 1)]
	return factors

def all_factors(n):
	(small, large) = ([], [])
	for i in range(1, int(n ** 0.5) + 1, 2 if n & 1 else 1):
		if not n % i:
			small.append(i)
			large.append(n // i)
	if small[-1] == large[-1]:
		large.pop()
	large.reverse()
	small.extend(large)
	return small

class SortedList:

	def __init__(self, iterable=[], _load=200):
		values = sorted(iterable)
		self._len = _len = len(values)
		self._load = _load
		self._lists = _lists = [values[i:i + _load] for i in range(0, _len, _load)]
		self._list_lens = [len(_list) for _list in _lists]
		self._mins = [_list[0] for _list in _lists]
		self._fen_tree = []
		self._rebuild = True

	def _fen_build(self):
		self._fen_tree[:] = self._list_lens
		_fen_tree = self._fen_tree
		for i in range(len(_fen_tree)):
			if i | i + 1 < len(_fen_tree):
				_fen_tree[i | i + 1] += _fen_tree[i]
		self._rebuild = False

	def _fen_update(self, index, value):
		if not self._rebuild:
			_fen_tree = self._fen_tree
			while index < len(_fen_tree):
				_fen_tree[index] += value
				index |= index + 1

	def _fen_query(self, end):
		if self._rebuild:
			self._fen_build()
		_fen_tree = self._fen_tree
		x = 0
		while end:
			x += _fen_tree[end - 1]
			end &= end - 1
		return x

	def _fen_findkth(self, k):
		_list_lens = self._list_lens
		if k < _list_lens[0]:
			return (0, k)
		if k >= self._len - _list_lens[-1]:
			return (len(_list_lens) - 1, k + _list_lens[-1] - self._len)
		if self._rebuild:
			self._fen_build()
		_fen_tree = self._fen_tree
		idx = -1
		for d in reversed(range(len(_fen_tree).bit_length())):
			right_idx = idx + (1 << d)
			if right_idx < len(_fen_tree) and k >= _fen_tree[right_idx]:
				idx = right_idx
				k -= _fen_tree[idx]
		return (idx + 1, k)

	def _delete(self, pos, idx):
		_lists = self._lists
		_mins = self._mins
		_list_lens = self._list_lens
		self._len -= 1
		self._fen_update(pos, -1)
		del _lists[pos][idx]
		_list_lens[pos] -= 1
		if _list_lens[pos]:
			_mins[pos] = _lists[pos][0]
		else:
			del _lists[pos]
			del _list_lens[pos]
			del _mins[pos]
			self._rebuild = True

	def _loc_left(self, value):
		if not self._len:
			return (0, 0)
		_lists = self._lists
		_mins = self._mins
		(lo, pos) = (-1, len(_lists) - 1)
		while lo + 1 < pos:
			mi = lo + pos >> 1
			if value <= _mins[mi]:
				pos = mi
			else:
				lo = mi
		if pos and value <= _lists[pos - 1][-1]:
			pos -= 1
		_list = _lists[pos]
		(lo, idx) = (-1, len(_list))
		while lo + 1 < idx:
			mi = lo + idx >> 1
			if value <= _list[mi]:
				idx = mi
			else:
				lo = mi
		return (pos, idx)

	def _loc_right(self, value):
		if not self._len:
			return (0, 0)
		_lists = self._lists
		_mins = self._mins
		(pos, hi) = (0, len(_lists))
		while pos + 1 < hi:
			mi = pos + hi >> 1
			if value < _mins[mi]:
				hi = mi
			else:
				pos = mi
		_list = _lists[pos]
		(lo, idx) = (-1, len(_list))
		while lo + 1 < idx:
			mi = lo + idx >> 1
			if value < _list[mi]:
				idx = mi
			else:
				lo = mi
		return (pos, idx)

	def add(self, value):
		_load = self._load
		_lists = self._lists
		_mins = self._mins
		_list_lens = self._list_lens
		self._len += 1
		if _lists:
			(pos, idx) = self._loc_right(value)
			self._fen_update(pos, 1)
			_list = _lists[pos]
			_list.insert(idx, value)
			_list_lens[pos] += 1
			_mins[pos] = _list[0]
			if _load + _load < len(_list):
				_lists.insert(pos + 1, _list[_load:])
				_list_lens.insert(pos + 1, len(_list) - _load)
				_mins.insert(pos + 1, _list[_load])
				_list_lens[pos] = _load
				del _list[_load:]
				self._rebuild = True
		else:
			_lists.append([value])
			_mins.append(value)
			_list_lens.append(1)
			self._rebuild = True

	def discard(self, value):
		_lists = self._lists
		if _lists:
			(pos, idx) = self._loc_right(value)
			if idx and _lists[pos][idx - 1] == value:
				self._delete(pos, idx - 1)

	def remove(self, value):
		_len = self._len
		self.discard(value)
		if _len == self._len:
			raise ValueError('{0!r} not in list'.format(value))

	def pop(self, index=-1):
		(pos, idx) = self._fen_findkth(self._len + index if index < 0 else index)
		value = self._lists[pos][idx]
		self._delete(pos, idx)
		return value

	def bisect_left(self, value):
		(pos, idx) = self._loc_left(value)
		return self._fen_query(pos) + idx

	def bisect_right(self, value):
		(pos, idx) = self._loc_right(value)
		return self._fen_query(pos) + idx

	def count(self, value):
		return self.bisect_right(value) - self.bisect_left(value)

	def __len__(self):
		return self._len

	def __getitem__(self, index):
		(pos, idx) = self._fen_findkth(self._len + index if index < 0 else index)
		return self._lists[pos][idx]

	def __delitem__(self, index):
		(pos, idx) = self._fen_findkth(self._len + index if index < 0 else index)
		self._delete(pos, idx)

	def __contains__(self, value):
		_lists = self._lists
		if _lists:
			(pos, idx) = self._loc_left(value)
			return idx < len(_lists[pos]) and _lists[pos][idx] == value
		return False

	def __iter__(self):
		return (value for _list in self._lists for value in _list)

	def __reversed__(self):
		return (value for _list in reversed(self._lists) for value in reversed(_list))

	def __repr__(self):
		return 'SortedList({0})'.format(list(self))

def binarySearch(arr, n, key):
	left = 0
	right = n - 1
	mid = 0
	res = n
	while left <= right:
		mid = (right + left) // 2
		if arr[mid] >= key:
			res = mid
			right = mid - 1
		else:
			left = mid + 1
	return res

def binarySearch1(arr, n, key):
	left = 0
	right = n - 1
	mid = 0
	res = -1
	while left <= right:
		mid = (right + left) // 2
		if arr[mid] > key:
			right = mid - 1
		else:
			res = mid
			left = mid + 1
	return res
tt = 1
tt = int(input())
for _ in range(tt):
	(a, b) = map(int, input().split())
	if a > b:
		print(a + b)
	else:
		print(b - b % a // 2)


import sys
input = sys.stdin.readline

def main():

	def extended_gcd(a, b):
		(s, old_s) = (0, 1)
		(r, old_r) = (b, a)
		while r:
			q = old_r // r
			(old_r, r) = (r, old_r - q * r)
			(old_s, s) = (s, old_s - q * s)
		return (old_r, old_s, (old_r - old_s * a) // b if b else 0)

	def modinv(a, m):
		(g, x, _) = extended_gcd(a % m, m)
		return x % m if g == 1 else None
	t = int(input())
	i = 10 ** 9 + 7
	for _ in range(t):
		(x, y) = map(int, input().split())
		xp = x // 2
		yp = y // 2
		if y >= x:
			a = yp // xp
			b = yp % xp
		else:
			b = y
			a = 1
		print(a * x + b)
main()


from sys import *
input = stdin.readline
import threading
from bisect import *
import math
from collections import *
import operator
from heapq import *
from itertools import *
inf = 10 ** 19
mod = 10 ** 9 + 7
MOD = 998244353
S1 = 'abcdefghijklmnopqrstuvwxyz'
S2 = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'
dx = [-1, 0]
dy = [0, -1]
setrecursionlimit(200005)

def asc(c):
	return ord(c) - 97 + 1
for _ in range(int(input())):
	(x, y) = map(int, input().split())
	if x < y:
		print(y - y % x // 2)
	elif x > y:
		print(x + y)
	else:
		print(x)


_ = int(input())
for i in range(_):
	(x, y) = map(int, input().split())
	if y < x:
		print(x + y)
	elif x == y:
		print(x)
	else:
		print(y - y % x // 2)


import os
import sys
from io import BytesIO, IOBase
from math import cos, pi, ceil, pi, tan, floor, gcd, sqrt, log2, factorial, log10
from collections import Counter
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase
from statistics import mean, median, mode
from bisect import *
alpha = ascii_lowercase
beta = ascii_uppercase

def nextPowerOf2(n):
	p = 1
	if n and (not n & n - 1):
		return n
	while p < n:
		p <<= 1
	return p

def isComposite(n):
	if n <= 1:
		return False
	if n <= 3:
		return False
	if n % 2 == 0 or n % 3 == 0:
		return True
	i = 5
	while i * i <= n:
		if n % i == 0 or n % (i + 2) == 0:
			return True
		i = i + 6
	return False

def get_Divisors(n):
	arr = []
	i = 1
	while i <= sqrt(n):
		if n % i == 0:
			if n / i == i:
				arr.append(i)
			else:
				arr.append(i)
				arr.append(n // i)
		i = i + 1
	return arr

def isprime(n):
	if n == 1:
		return 0
	i = 2
	while i * i <= n:
		if n % i == 0:
			return 0
		i += 1
	return 1

def Sieve(n):
	prime = [True for i in range(n + 1)]
	prime[0] = False
	prime[1] = False
	p = 2
	while p * p <= n:
		if prime[p] == True:
			for i in range(p * p, n + 1, p):
				prime[i] = False
		p += 1
	return prime

def power(x, y, p):
	res = 1
	x = x % p
	if x == 0:
		return 0
	while y > 0:
		if y & 1 == 1:
			res = res * x % p
		y = y >> 1
		x = x * x % p
	return res

def create_matrix(n, m):
	mat = [[] for i in range(n)]
	for i in range(n):
		for j in range(m):
			mat[i].append(0)
	return mat

def main():
	for ttt in range(int(input())):
		(x, y) = map(int, input().split())
		if x > y:
			print(x + y)
		elif x == y:
			print(x)
		else:
			m = y // x
			mm = m * x
			print((mm + y) // 2)
BUFSIZE = 8192

class FastIO(IOBase):
	newlines = 0

	def __init__(self, file):
		self._fd = file.fileno()
		self.buffer = BytesIO()
		self.writable = 'x' in file.mode or 'r' not in file.mode
		self.write = self.buffer.write if self.writable else None

	def read(self):
		while True:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			if not b:
				break
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines = 0
		return self.buffer.read()

	def readline(self):
		while self.newlines == 0:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			self.newlines = b.count(b'\n') + (not b)
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines -= 1
		return self.buffer.readline()

	def flush(self):
		if self.writable:
			os.write(self._fd, self.buffer.getvalue())
			(self.buffer.truncate(0), self.buffer.seek(0))

class IOWrapper(IOBase):

	def __init__(self, file):
		self.buffer = FastIO(file)
		self.flush = self.buffer.flush
		self.writable = self.buffer.writable
		self.write = lambda s: self.buffer.write(s.encode('ascii'))
		self.read = lambda : self.buffer.read().decode('ascii')
		self.readline = lambda : self.buffer.readline().decode('ascii')
input = lambda : sys.stdin.readline().rstrip('\r\n')
main()


t = int(input())
from math import gcd
res = []
for _ in range(t):
	(x, y) = map(int, input().split())
	n = 0
	if x <= y:
		n = y - y % x // 2
	else:
		n = x + y
	res.append(n)
for el in res:
	print(el)


t = int(input())
for k in range(t):
	inp = input().split()
	a = int(inp[0])
	b = int(inp[1])
	if a > b:
		print(a + b)
	elif a == b:
		print(a)
	else:
		print(b - b % a // 2)


import sys
from os import path
if path.exists('input.txt'):
	sys.stdout = open('output.txt', 'w')
	sys.stdin = open('input.txt', 'r')

def main():
	inp = [int(x) for x in sys.stdin.buffer.read().split()]
	ii = 0
	out = []
	t = int(inp[ii])
	ii += 1
	for _ in range(t):
		(x, y) = inp[ii:ii + 2]
		ii += 2
		if x > y:
			n = x + y
		else:
			n = y - y % x // 2
		out.append(n)
		pass
	out_str = '\n'.join((str(x) for x in out))
	sys.stdout.write(out_str)
main()


t = int(input())
for i in range(t):
	(x, y) = map(int, input().split())
	if x > y:
		print(x + y)
	else:
		print(y - y % x // 2)


for i in range(int(input())):
	(a, b) = [int(x) for x in input().split()]
	if a == b:
		print(a)
		continue
	if a > b:
		print(a + b)
		continue
	print(b - b % a // 2)


def gcd(a, b):
	while a != 0:
		(a, b) = (b % a, a)
	return b
t = int(input())
for _ in range(t):
	(x, y) = map(int, input().split())
	if y > x:
		if y >= 2 * x:
			n = (y + y // x * x) // 2
		else:
			n = (x + y) // 2
	elif y == x:
		n = y
	else:
		n = x + y
	print(n)


from __future__ import division, print_function
import math
import sys
import os
from io import BytesIO, IOBase
BUFSIZE = 8192

class FastIO(IOBase):
	newlines = 0

	def __init__(self, file):
		self._fd = file.fileno()
		self.buffer = BytesIO()
		self.writable = 'x' in file.mode or 'r' not in file.mode
		self.write = self.buffer.write if self.writable else None

	def read(self):
		while True:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			if not b:
				break
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines = 0
		return self.buffer.read()

	def readline(self):
		while self.newlines == 0:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			self.newlines = b.count(b'\n') + (not b)
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines -= 1
		return self.buffer.readline()

	def flush(self):
		if self.writable:
			os.write(self._fd, self.buffer.getvalue())
			(self.buffer.truncate(0), self.buffer.seek(0))

class IOWrapper(IOBase):

	def __init__(self, file):
		self.buffer = FastIO(file)
		self.flush = self.buffer.flush
		self.writable = self.buffer.writable
		self.write = lambda s: self.buffer.write(s.encode('ascii'))
		self.read = lambda : self.buffer.read().decode('ascii')
		self.readline = lambda : self.buffer.readline().decode('ascii')

def print(*args, **kwargs):
	(sep, file) = (kwargs.pop('sep', ' '), kwargs.pop('file', sys.stdout))
	at_start = True
	for x in args:
		if not at_start:
			file.write(sep)
		file.write(str(x))
		at_start = False
	file.write(kwargs.pop('end', '\n'))
	if kwargs.pop('flush', False):
		file.flush()
if sys.version_info[0] < 3:
	(sys.stdin, sys.stdout) = (FastIO(sys.stdin), FastIO(sys.stdout))
else:
	(sys.stdin, sys.stdout) = (IOWrapper(sys.stdin), IOWrapper(sys.stdout))
input = lambda : sys.stdin.readline().rstrip('\r\n')

def inp():
	return int(input())

def inps():
	return input().strip()

def inlt():
	return list(map(int, input().split()))

def insr():
	s = input().strip()
	return list(s[:len(s)])

def invr():
	return map(int, input().split())

def fun(x, y):
	if x > y:
		n = x + y
	elif x == y:
		n = x
	else:
		z = y // x
		a = x * z
		b = a + (y - a) // 2
		n = b
	return n
for _ in range(inp()):
	(x, y) = invr()
	print(fun(x, y))


t = int(input())
while t:
	(x, y) = list(map(int, input().split()))
	t -= 1
	if x > y:
		print(x + y)
	else:
		print(y - y % x // 2)


import sys
input = sys.stdin.buffer.readline

def process(x, y):
	if x > y:
		n = x + y
	else:
		B = y // x
		c = (y - B * x) // 2
		n = B * x + c
	assert n % x == y % n
	return n
t = int(input())
for i in range(t):
	(x, y) = [int(x) for x in input().split()]
	print(process(x, y))


import math
from heapq import heappush, heappop, heapify
import random
import string
from collections import deque
from bisect import bisect, bisect_left, bisect_right, insort
import sys
input = sys.stdin.readline
S = lambda : input().rstrip()
I = lambda : int(S())
M = lambda : map(int, S().split())
L = lambda : list(M())
H = 1000000000 + 7
for _ in range(I()):
	(x, y) = M()
	if x > y:
		print(x + y)
		continue
	print(y - y % x + y % x // 2)


import sys
import io, os
input = sys.stdin.buffer.readline
t = int(input())
for _ in range(t):
	(x, y) = map(int, input().split())
	if x > y:
		n = x + y
	elif x == y:
		n = x
	else:
		z = y % x
		n = y - z // 2
	print(n)


t = int(input())
for _ in range(t):
	(x, y) = map(int, input().split())
	if y > x:
		if y >= 2 * x:
			n = (y + y // x * x) // 2
		else:
			n = (x + y) // 2
	elif y == x:
		n = y
	else:
		n = x + y
	print(n)


import sys
import string
from decimal import Decimal
from math import log, gcd

def inp():
	return int(input())

def inplist():
	return list(map(int, input().split()))

def inpstrlist():
	s = input()
	return list(s[:len(s)])

def invr():
	return map(int, input().split())

def lcm(a, b):
	return a * b // gcd(a, b)
t = int(input())
for _ in range(t):
	(x, y) = invr()
	if x == y:
		print(x)
	elif x > y:
		print(x + y)
	elif y % x == 0:
		print(y)
	else:
		z = x * (y // x)
		w = y - z
		print(z + w // 2)


import sys
from math import factorial, gcd
from collections import Counter, deque, defaultdict
from bisect import bisect_left, bisect_right
from heapq import heappop, heappush, heapify, nlargest, nsmallest
from itertools import groupby, accumulate
from copy import deepcopy
MOD = 10 ** 9 + 7
INF = float('inf')
input = sys.stdin.readline
rl = lambda : list(map(int, input().split()))
rs = lambda : sys.stdin.readline().strip()
for _ in range(int(input())):
	(x, y) = rl()
	if x > y:
		print(x + y)
	else:
		print(y - y % x // 2)


import sys
import bisect
import math
inp = sys.stdin.readline
input = lambda : inp().strip()

def lcm(a, b):
	return a * b // math.gcd(a, b)

def solve():
	(x, y) = map(int, input().split())
	if x == y:
		return x
	elif x < y:
		return y - y % x // 2
	else:
		return x + y
t = int(input())
for _ in range(t):
	print(solve())


from sys import *
for _ in range(int(stdin.readline())):
	(x, y) = map(int, stdin.readline().split())
	if y % x == 0:
		stdout.write(str(y) + '\n')
		continue
	if x < y:
		tmp = y % x
		tmp //= 2
		n = y - tmp
		stdout.write(str(n) + '\n')
	else:
		stdout.write(str(x + y) + '\n')


from sys import stdin
input = stdin.readline
rn = lambda : int(input())
rns = lambda : map(int, input().split())
rl = lambda : list(map(int, input().split()))
rs = lambda : input().strip()
YN = lambda x: print('YES') if x else print('NO')
ceil_div = lambda a, b: -(-a // b)
mod = 10 ** 9 + 7
for _ in range(rn()):
	(x, y) = rns()
	ans = 0
	if x > y:
		ans = x + y
	elif x == y:
		ans = x
	elif y % x == 0:
		ans = y
	else:
		c = y - y % x
		ans = c + y % x // 2
	print(ans)


import math
import sys
input = sys.stdin.readline
output = sys.stdout.write

def inlist():
	return list(map(int, input().split()))

def inVar():
	return map(int, input().split())

def main():
	test_case = int(input())
	for case in range(test_case):
		(x, y) = inVar()
		if x <= y:
			output(str(y - y % x // 2) + '\n')
		else:
			output(str(x + y) + '\n')
main()


t = int(input())
while t > 0:
	t -= 1
	(x, y) = map(int, input().split())
	if y < x:
		print(int(y + x))
	elif x == y:
		print(int(x))
	else:
		k2 = y / 2 // (x / 2)
		k1 = y / 2 % (x / 2)
		print(int(k2 * x + k1))


def main():
	t = int(input())
	allans = []
	for _ in range(t):
		(x, y) = readIntArr()
		if y >= x:
			x2 = x * (y // x)
			ans = (x2 + y) // 2
		else:
			ans = x + y
		allans.append(ans)
	multiLineArrayPrint(allans)
	return
import sys
input = sys.stdin.buffer.readline

def oneLineArrayPrint(arr):
	print(' '.join([str(x) for x in arr]))

def multiLineArrayPrint(arr):
	print('\n'.join([str(x) for x in arr]))

def multiLineArrayOfArraysPrint(arr):
	print('\n'.join([' '.join([str(x) for x in y]) for y in arr]))

def readIntArr():
	return [int(x) for x in input().split()]

def makeArr(defaultValFactory, dimensionArr):
	dv = defaultValFactory
	da = dimensionArr
	if len(da) == 1:
		return [dv() for _ in range(da[0])]
	else:
		return [makeArr(dv, da[1:]) for _ in range(da[0])]

def queryInteractive(x, y):
	print('? {} {}'.format(x, y))
	sys.stdout.flush()
	return int(input())

def answerInteractive(i1, j1, i2, j2):
	print('! {} {} {} {}'.format(i1, j1, i2, j2))
	sys.stdout.flush()
inf = float('inf')
from math import gcd, floor, ceil
import math
for _abc in range(1):
	main()