live enlargened grid calculation
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9cdcdc1208
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8fe19e4643
@ -10,26 +10,17 @@ for line in io.lines(arg[3]) do
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end
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table.insert(grid, row)
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end
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function printgrid()
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for r, row in pairs(grid) do
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for c, cell in pairs(row) do
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io.write(string.format("%3d", cell))
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end
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io.write('\n')
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end
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end
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local h, w = #grid, #grid[1]
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for r0 = 0, 4 do
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for c0 = 0, 4 do
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for r = 1, h do
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for c = 1, w do
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local row = grid[r0*h + r] or {}
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row[c0*w + c] = (grid[r][c] + r0 + c0 - 1) % 9 + 1
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grid[r0*h + r] = row
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end
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end
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local function cost(r, c)
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if r <= 0 or c <= 0 or r > 5 * h or c > 5 * w then
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return math.huge
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else
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return (grid[(r-1)%h+1][(c-1)%w+1]
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+ math.floor((r-1)/h)
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+ math.floor((c-1)/w)
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- 1
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) % 9 + 1
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end
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end
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@ -39,22 +30,21 @@ end)
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local distances = {}
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local H = math.huge
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local n = { 1, 1, 0 }
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while n ~= nil and (distances[#grid] == nil or distances[#grid][#grid[1]] == nil) do
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while n ~= nil and (distances[5*h] == nil or distances[5*h][5*w] == nil) do
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local r, c, d = unpack(n)
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if 0 < r or r <= #grid or 0 < c or c <= #grid[r] then
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if cost(r, c) < math.huge then
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local row = distances[r] or {}
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if d < (row[c] or H) then
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if d < (row[c] or math.huge) then
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row[c] = d
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distances[r] = row
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pq:add({ r-1, c, d + ((grid[r-1] or {})[c] or H) })
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pq:add({ r, c-1, d + ((grid[r] or {})[c-1] or H) })
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pq:add({ r+1, c, d + ((grid[r+1] or {})[c] or H) })
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pq:add({ r, c+1, d + ((grid[r] or {})[c+1] or H) })
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pq:add({ r-1, c, d + cost(r-1, c) })
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pq:add({ r, c-1, d + cost(r, c-1) })
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pq:add({ r+1, c, d + cost(r+1, c) })
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pq:add({ r, c+1, d + cost(r, c+1) })
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end
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end
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n = pq:pop()
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end
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print(distances[#grid] and distances[#grid][#grid[1]])
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print(distances[5*h] and distances[5*h][5*w])
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