local n, c, v = io.read("*n", "*n", "*n")
local t = {}
local inf = (c + v) * n
for i = 1, n * n do t[i] = inf end
t[1] = c
local mmi = math.min
for i_n = 1, n - 1 do
  for i_cp = 1, i_n do
    local src_idx = i_cp + (i_n - 1) * n
    local paste_dst_n = mmi(n, i_n + i_cp)
    local paste_dst_idx = i_cp + (paste_dst_n - 1) * n
    t[paste_dst_idx] = mmi(t[paste_dst_idx], t[src_idx] + v)
    local copy_dst_idx = i_n + (i_n - 1) * n
    t[copy_dst_idx] = mmi(t[copy_dst_idx], t[src_idx] + c)
  end
end
local minval = inf
for i_cp = 1, n - 1 do
  local idx = i_cp + (n - 1) * n
  minval = mmi(minval, t[idx])
end
print(minval)