local mod = 1000000007
local mfl = math.floor

local function bmul(x, y)
  local x1, y1 = mfl(x / 31623), mfl(y / 31623)
  local x0, y0 = x - x1 * 31623, y - y1 * 31623
  return (x1 * y1 * 14122 + (x1 * y0 + x0 * y1) * 31623 + x0 * y0) % mod
end

local function badd(x, y)
  return (x + y) % mod
end

local function bsub(x, y)
  return x < y and x - y + mod or x - y
end

local function modpow(src, pow)
  local res = 1
  while 0 < pow do
    if pow % 2 == 1 then
      res = bmul(res, src)
      pow = pow - 1
    end
    src = bmul(src, src)
    pow = mfl(pow / 2)
  end
  return res
end

local function modinv(src)
  return modpow(src, mod - 2)
end

local function getComb(n, k)
  local ret = 1
  local inv = 1
  for i = 1, k do
    ret = bmul(ret, n + 1 - i)
    inv = bmul(inv, i)
  end
  return bmul(ret, modinv(inv))
end

local gx, gy, n = io.read("*n", "*n", "*n")
local x, y, c = {}, {}, {}
for i = 1, n do
  x[i], y[i], c[i] = io.read("*n", "*n", "*n")
end
local tot = 1
for i = 1, n do
  tot = tot * (c[i] + 1)
end
local ret = 0
local box = {}
for i = 0, tot - 1 do
  local ti = i
  for j = 1, n do
    box[j] = ti % (c[j] + 1)
    ti = mfl(ti / (c[j] + 1))
  end
  local vx, vy = 0, 0
  for j = 1, n do
    vx = vx + x[j] * box[j]
    vy = vy + y[j] * box[j]
  end
  if vx == gx and vy == gy then
    local r = 1
    local cnt = 0
    for j = 1, n do
      cnt = cnt + box[j]
    end
    for j = 1, n do
      r = bmul(r, getComb(cnt, box[j]))
      cnt = cnt - box[j]
    end
    ret = badd(ret, r)
  end
end
print(ret)