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require "ext"
local directions = {
right = {0,1},
down = {1,0},
left = {0,-1},
up = {-1,0},
wait = {0,0},
}
local tiles = {
wall = {rep="#"},
lbliz = {rep="<",move=directions.left},
rbliz = {rep=">",move=directions.right},
ubliz = {rep="^",move=directions.up},
dbliz = {rep="v",move=directions.down},
empty = {rep="."}
}
local map = {}
local row,col = 0,0
local start,finish
local function place(map,row,col,ent)
map[row] = map[row] or {}
map[row][col] = map[row][col] or {}
table.insert(map[row][col],ent)
end
for line in io.lines() do
map[#map+1] = {}
row = row + 1
col = 0
for char in line:gmatch("(.)") do
col = col + 1
if char == "." then
if row == 1 then
start = col
else
finish = col
end
end
for name,tile in pairs(tiles) do
if char == tile.rep and name ~= "empty" then
place(map,row,col,{r=row,c=col,t=tile})
break
end
end
end
end
local w,h = col,row
local function print_puzzle(map,flood)
for row = 1,h do
for col = 1,w do
if map[row] and map[row][col] then
local elist = map[row][col]
if #elist == 1 then
io.write(elist[1].t.rep .. " ")
else
io.write("* ")
end
else
if flood and flood[row] and flood[row][col] then
io.write(string.format("%-2d",flood[row][col]))
else
io.write(" ")
end
end
end
io.write("\n")
end
end
local h,w = #map, #map[1]
local min_walk = math.abs(finish - start) + h
print_puzzle(map)
local function step_map(map)
local newmap = {}
for row = 1,h do
for col = 1,w do
if map[row] and map[row][col] then
for _, ent in pairs(map[row][col]) do
if ent.t.move then
local dir = ent.t.move
ent.r = ent.r + dir[1]
ent.c = ent.c + dir[2]
--loop
if ent.r == 1 then
ent.r = h-1
elseif ent.r == h then
ent.r = 2
elseif ent.c == 1 then
ent.c = w-1
elseif ent.c == w then
ent.c = 2
end
place(newmap,ent.r,ent.c,ent)
else
place(newmap,ent.r,ent.c,ent)
end
end
end
end
end
return newmap
end
local function could_move(map,row,col)
local ret = (
row >= 1 and
col > 1 and
row <= h and
col < w and
(map[row] == nil or
map[row][col] == nil or
map[row][col].t ~= tiles.wall)
)
--print(ret)
return ret
end
--map doesn't change, no matter what we do, we can store the blizzard simulation
local map_mem, mapat = {}, {[0] = map}
setmetatable(mapat,{__index=function(self,key)
if map_mem[key] then return map_mem[key] end
map_mem[key] = step_map(mapat[key-1])
return map_mem[key]
end})
local state = {
location = {1,start},
minute = 0,
speculative_goal = min_walk
}
local function copy_state(state)
return {
location = {state.location[1],state.location[2]},
minute = state.minute,
speculative_goal = state.speculative_goal
}
end
local spec_tbl = {
[directions.right] = -1,
[directions.down] = -1,
[directions.left] = 2,
[directions.up] = 2,
[directions.wait] = 0
}
local flood = {}
for row = 1,h do
flood[row] = {}
end
flood[1][2] = 0
local min = 0
while flood[h][w-1] == nil do
min = min + 1
print("Min",min)
local nmap = mapat[min-1]
local toins = {}
--[[
print("Before flooding 1:")
print_puzzle(nmap,flood)
]]
--flood outward
for rn,row in pairs(flood) do
for cn,col in pairs(row) do
if flood[rn][cn] then
for name, direction in pairs(directions) do
--print("Flooding",rn,cn,name)
local trow = rn + direction[1]
local tcol = cn + direction[2]
if could_move(nmap,trow,tcol) and flood[trow][tcol] == nil then
table.insert(toins,{trow,tcol})
end
end
end
end
end
for _,v in pairs(toins) do
flood[v[1]][v[2]] = min
end
--[[
print("After flooding 1:")
print_puzzle(nmap,flood)
]]
nmap = mapat[min]
--clean up where blizzards pass
for rn,row in pairs(nmap) do
for cn, col in pairs(row) do
flood[rn][cn] = nil
end
end
--[[
print("After cleaning:")
print_puzzle(nmap,flood)
]]
end
print("First goal reached after:",min)
flood = {}
for row = 1,h do
flood[row] = {}
end
flood[h][w-1] = min
while flood[1][2] == nil do
min = min + 1
print("Min",min)
local nmap = mapat[min-1]
local toins = {}
--[[
print("Before flooding 1:")
print_puzzle(nmap,flood)
]]
--flood outward
for rn,row in pairs(flood) do
for cn,col in pairs(row) do
if flood[rn][cn] then
for name, direction in pairs(directions) do
--print("Flooding",rn,cn,name)
local trow = rn + direction[1]
local tcol = cn + direction[2]
if could_move(nmap,trow,tcol) and flood[trow][tcol] == nil then
table.insert(toins,{trow,tcol})
end
end
end
end
end
for _,v in pairs(toins) do
flood[v[1]][v[2]] = min
end
--[[
print("After flooding 1:")
print_puzzle(nmap,flood)
]]
nmap = mapat[min]
--clean up where blizzards pass
for rn,row in pairs(nmap) do
for cn, col in pairs(row) do
flood[rn][cn] = nil
end
end
print("After cleaning:")
print_puzzle(nmap,flood)
end
print("back to start reached after:",min)
flood = {}
for row = 1,h do
flood[row] = {}
end
flood[1][2] = min
while flood[h][w-1] == nil do
min = min + 1
print("Min",min)
local nmap = mapat[min-1]
local toins = {}
--[[
print("Before flooding 1:")
print_puzzle(nmap,flood)
]]
--flood outward
for rn,row in pairs(flood) do
for cn,col in pairs(row) do
if flood[rn][cn] then
for name, direction in pairs(directions) do
--print("Flooding",rn,cn,name)
local trow = rn + direction[1]
local tcol = cn + direction[2]
if could_move(nmap,trow,tcol) and flood[trow][tcol] == nil then
table.insert(toins,{trow,tcol})
end
end
end
end
end
for _,v in pairs(toins) do
flood[v[1]][v[2]] = min
end
--[[
print("After flooding 1:")
print_puzzle(nmap,flood)
]]
nmap = mapat[min]
--clean up where blizzards pass
for rn,row in pairs(nmap) do
for cn, col in pairs(row) do
flood[rn][cn] = nil
end
end
print("After cleaning:")
print_puzzle(nmap,flood)
end
print("Back to goal reached after",min)
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