Today is rose day, batch mates of Kabir and Tara decided to celebrate this day by exchanging roses with each other. 
Note:$Note:$ exchanging means both the boy and the girl will give rose to each other. 
In the class there are B$B$ boys and G$G$ girls. 
Exchange of rose will take place if and only if at least one of them hasn't received a rose from anyone else and a rose can be exchanged only once.
Tara has to bring maximum sufficient roses for everyone and is confused as she don't know how many roses to buy.You are a friend of Kabir, so help him to solve the problem so that he can impress Tara by helping her. 

-----Input:-----
- First line will contain T$T$, number of test cases. 
- Each test case contains two space separated integers B$B$ (Number of boys) and  G$G$ (Number of Girls).

-----Output:-----
For each test case, output in a single line the total number of roses exchanged.

-----Constraints:-----
- 1≤T≤105$1 \leq T \leq 10^5$
- 1≤B≤109$1 \leq B \leq 10^{9}$
- 1≤G≤109$1 \leq G \leq 10^{9}$

-----Sample Input:-----
1
2 3

-----Sample Output:-----
8

Difficulty: UNKNOWN_DIFFICULTY

Solutions:
for i in range(int(input())):
	print(2 * (sum(list(map(int, input().split()))) - 1))


t = int(input())
while t > 0:
	(b, g) = input().split()
	b = int(b)
	g = int(g)
	ans = (abs(b + g) - 1) * 2
	print(ans)
	t = t - 1


nn = int(input())
for i in range(nn):
	l = list(map(int, input().split()))
	b = l[0]
	g = l[1]
	m = max(g, b)
	mi = min(g, b)
	s = 0
	s += m * 2
	s += (mi - 1) * 2
	print(s)


t = int(input())
i = 0
while i != t:
	lst = list(map(int, input().split()))
	B = lst[0]
	G = lst[1]
	result = max(B, G) * 2 + (min(B, G) - 1) * 2
	print(result)
	i += 1


s = 0
for m in range(int(input())):
	s = s + 1
	print(2 * (sum(list(map(int, input().split()))) - 1))


n = int(input())
for i in range(n):
	l1 = list(map(int, input().split()))
	b = min(l1[0], l1[1])
	g = max(l1[0], l1[1])
	sum1 = g * 2 + (b - 1) * 2
	print(sum1)


def __starting_point():
	for _ in range(int(input())):
		(b, g) = map(int, input().split())
		print(2 * (g + b - 1))
__starting_point()


t = int(input())
roses = 0
for i in range(t):
	(B, G) = list(map(int, input().split()))
	roses = 2 * G + 2 * (B - 1)
	print(roses)


for i in range(int(input())):
	(a, b) = list(map(int, input().split()))
	if a == b:
		print(a * b)
	else:
		print((a + b - 1) * 2)


t = int(input())
for _ in range(t):
	(x, y) = list(map(int, input().split()))
	pos = y * 2
	pos1 = (x - 1) * 2
	print(pos + pos1)


import math
for _ in range(int(input())):
	(a, b) = map(int, input().split())
	if a == b:
		print(a * a)
	else:
		print((a + b - 1) * 2)


import math
for _ in range(int(input())):
	(n, m) = map(int, input().split())
	print((n + m - 1) * 2)