local ffi = require("ffi")
local C = ffi.C
ffi.cdef[[
long long atoll(const char*);
]]

local function lltonumber(str)
  return C.atoll(str)
end
local function llmin(x, y) return x < y and x or y end

local q = io.read("*n", "*l")
for iq = 1, q do
  local a, b, c = io.read():match("(%d+) (%d+) (%d+)")
  a = lltonumber(a)
  b = lltonumber(b)
  c = lltonumber(c)
  
  d = llmin(a, c)
  s = 2LL * d
  a = a - d
  c = c - d
  if b % 2LL == 1LL then
    s = s + b - 1LL
    b = 1LL
  else
    s = s + b
    b = 0LL
  end
  if 0LL == a then
    if (a + b) % 2LL == 0 then
      z = a + b * 2LL - (a + b) / 2LL * 3LL
      s = s + z
    else
      if a == 1LL then
        s = s + b / 2LL
      else
        s = s + (b - 1LL) / 2LL
      end
    end
  else
    s = s + llmin(a, b)
  end
  s = tostring(s):gsub("LL", "")
  print(s)
end