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08.hs
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#!/usr/bin/env stack
{- stack --resolver=nightly-2018-11-14 script --compile
--package "here megaparsec pretty-show scanf split"
-}
-- relude
-- {-# Language NoImplicitPrelude #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE QuasiQuotes #-}
{-# LANGUAGE TupleSections #-}
-- import Relude
import Control.Monad.State
import Debug.Trace
import Data.Char
import Data.Either
import Data.Function
import Data.List
import Data.List.Split
import Data.Maybe
import Data.String.Here
import Debug.Trace
import Text.Scanf
import Text.Show.Pretty
import qualified Text.Megaparsec as M
import qualified Text.Megaparsec.Char as M
pp :: Show a => a -> IO ()
pp = putStrLn . ppShow
ltrace :: Show a => String -> a -> a
ltrace msg x =
-- trace (msg++": "++show x)
x
{-
The sleigh is much easier to pull than you'd expect for something its
weight. Unfortunately, neither you nor the Elves know which way the
North Pole is from here.
You check your wrist device for anything that might help. It seems to
have some kind of navigation system! Activating the navigation system
produces more bad news: "Failed to start navigation system. Could not
read software license file."
The navigation system's license file consists of a list of numbers
(your puzzle input). The numbers define a data structure which, when
processed, produces some kind of tree that can be used to calculate
the license number.
The tree is made up of nodes; a single, outermost node forms the
tree's root, and it contains all other nodes in the tree (or contains
nodes that contain nodes, and so on).
Specifically, a node consists of:
A header, which is always exactly two numbers:
The quantity of child nodes.
The quantity of metadata entries.
Zero or more child nodes (as specified in the header).
One or more metadata entries (as specified in the header).
Each child node is itself a node that has its own header, child nodes,
and metadata. For example:
2 3 0 3 10 11 12 1 1 0 1 99 2 1 1 2
A----------------------------------
B----------- C-----------
D-----
In this example, each node of the tree is also marked with an
underline starting with a letter for easier identification. In it,
there are four nodes:
A, which has 2 child nodes (B, C) and 3 metadata entries (1, 1, 2).
B, which has 0 child nodes and 3 metadata entries (10, 11, 12).
C, which has 1 child node (D) and 1 metadata entry (2).
D, which has 0 child nodes and 1 metadata entry (99).
The first check done on the license file is to simply add up all of
the metadata entries. In this example, that sum is
1+1+2+10+11+12+2+99=138.
What is the sum of all metadata entries?
-}
test :: [Int]
test = map read $ words $ [here|
2 3 0 3 10 11 12 1 1 0 1 99 2 1 1 2
|]
type Metadata = Int
data Tree = T [Tree] [Metadata] deriving (Show)
parse :: [Int] -> (Maybe Tree, [Int])
parse ns = runState parsetree ns
parsetree :: State [Int] (Maybe Tree)
parsetree = do
ns <- get
case ns of
(numchildren:nummetadata:ns2) -> do
put ns2
cs <- catMaybes <$> replicateM numchildren parsetree
ns3 <- get
let (ms,ns4) = splitAt nummetadata ns3
put ns4
return $ Just $ T cs ms
[] -> return Nothing
summetadata :: Tree -> Int
summetadata (T cs ms) = sum ms + sum (map summetadata cs)
(Just testtree,[]) = parse test
(Just inputtree,[]) = parse input
a = summetadata inputtree -- 45194
{-
The second check is slightly more complicated: you need to find the
value of the root node (A in the example above).
The value of a node depends on whether it has child nodes.
If a node has no child nodes, its value is the sum of its metadata
entries. So, the value of node B is 10+11+12=33, and the value of node
D is 99.
However, if a node does have child nodes, the metadata entries become
indexes which refer to those child nodes. A metadata entry of 1 refers
to the first child node, 2 to the second, 3 to the third, and so
on. The value of this node is the sum of the values of the child nodes
referenced by the metadata entries. If a referenced child node does
not exist, that reference is skipped. A child node can be referenced
multiple time and counts each time it is referenced. A metadata entry
of 0 does not refer to any child node.
For example, again using the above nodes:
Node C has one metadata entry, 2. Because node C has only one
child node, 2 references a child node which does not exist, and so the
value of node C is 0.
Node A has three metadata entries: 1, 1, and 2. The 1 references
node A's first child node, B, and the 2 references node A's second
child node, C. Because node B has a value of 33 and node C has a value
of 0, the value of node A is 33+33+0=66.
So, in this example, the value of the root node is 66.
What is the value of the root node?
-}
safeix l i
| i < 0 || i >= length l = 0
| otherwise = l !! i
value :: Tree -> Int
value (T [] ms) = sum ms
value (T cs ms) = sum $ (ltrace "cvalsixed") $ map (safeix cvals . (+(-1))) ms
where
cvals = ltrace "cvals" $ map value $ ltrace "cs" cs
b = value inputtree -- 22989
input :: [Int]
input = map read $ words [here|
9 11 6 3 5 5 3 5 1 7 0 7 1 5 7 3 2 6 4 2 1 1 1 3 1 1 1 5 0 6 7 5 1 3 3 5 3 1 2 1 1 1 7 0 6 9 9 9 1 3 3 2 1 1 2 1 1 3 2 2 1 3 3 3 6 1 8 0 10 3 5 2 5 7 8 2 8 1 2 1 1 2 1 1 3 1 3 1 8 0 7 7 6 3 3 8 3 1 3 1 3 1 1 2 3 2 1 7 0 11 1 3 6 2 4 1 1 9 9 9 2 1 1 2 2 3 2 2 2 3 3 1 4 1 3 6 1 9 0 11 1 8 1 7 1 1 9 3 4 9 8 2 2 3 3 2 3 1 1 2 1 8 0 11 2 8 1 5 3 5 6 2 2 2 1 2 1 3 1 3 3 2 3 1 5 0 7 1 4 3 8 1 5 9 1 2 2 1 1 2 3 1 3 3 2 3 5 1 6 0 11 6 1 6 9 6 6 3 1 2 4 9 1 2 3 1 2 2 1 9 0 9 3 9 6 2 8 9 1 5 1 3 2 3 1 2 3 2 1 3 1 8 0 11 5 8 1 4 6 8 4 8 8 8 8 2 2 1 1 1 2 1 3 5 3 5 3 1 3 5 1 7 0 10 6 8 2 1 8 1 4 6 8 1 2 3 1 1 1 2 2 1 7 0 7 4 7 8 4 8 3 1 1 3 1 1 2 1 1 1 6 0 11 9 4 6 1 5 4 2 3 1 4 5 1 3 2 1 2 3 3 2 2 3 3 2 1 2 7 6 5 3 3 6 1 5 0 8 2 6 4 4 1 6 3 3 2 1 2 3 1 1 6 0 6 1 6 1 3 7 1 3 2 1 1 1 3 1 5 0 7 7 2 7 1 8 4 4 1 3 1 1 3 3 5 1 3 1 2 3 6 1 5 0 7 3 1 1 6 2 4 7 3 3 1 3 2 1 7 0 11 2 7 1 4 1 6 6 8 2 1 2 1 1 3 2 2 3 1 1 8 0 9 4 1 1 8 2 3 1 3 5 3 1 2 3 3 3 3 3 2 1 1 2 5 1 3 7 1 8 0 11 1 6 6 7 1 7 9 1 7 6 6 1 2 2 2 1 1 2 2 1 8 0 10 7 1 2 7 6 1 1 1 2 4 3 2 2 2 1 1 3 1 1 9 0 10 5 6 1 2 1 5 5 1 4 5 1 3 3 3 1 1 1 1 1 1 2 3 2 4 5 3 3 7 1 6 0 6 1 3 2 1 2 3 2 1 1 2 2 1 1 8 0 10 8 1 5 2 1 1 6 9 9 5 2 3 1 2 1 1 2 2 1 5 0 11 1 4 7 4 9 9 1 7 6 8 9 1 1 3 1 2 2 5 2 1 1 2 1 3 7 1 7 0 8 6 4 9 3 5 9 5 1 1 2 2 3 2 2 1 1 7 0 6 7 5 1 3 7 4 2 2 1 3 2 1 1 1 9 0 8 8 1 5 3 8 3 9 6 1 2 1 1 1 1 3 2 3 5 2 5 3 5 3 1 2 2 1 5 4 3 5 1 6 0 6 6 6 8 1 9 3 3 2 1 1 1 1 1 5 0 6 3 1 6 1 7 6 1 1 2 2 1 1 6 0 11 3 2 3 1 2 7 8 6 5 4 8 2 2 3 1 1 3 2 3 4 3 2 3 6 1 8 0 7 8 6 3 1 3 1 9 1 1 1 3 1 2 1 1 1 6 0 7 3 8 4 8 1 6 4 3 1 1 1 1 1 1 8 0 8 6 9 1 1 5 6 8 2 1 2 1 3 1 1 3 3 2 2 4 1 3 2 3 4 1 5 0 8 9 7 4 1 5 2 8 7 1 1 2 1 1 1 7 0 11 3 6 5 9 2 1 6 5 2 1 2 2 2 1 1 3 2 2 1 7 0 10 8 6 4 4 1 3 2 8 7 9 3 2 3 1 2 2 1 1 2 2 2 3 4 1 6 0 8 2 1 7 7 8 1 4 1 1 3 3 1 1 2 1 5 0 8 9 2 9 1 2 1 2 9 1 3 2 2 1 1 7 0 8 4 6 6 6 1 3 4 9 2 2 1 3 1 2 2 2 3 4 5 3 4 1 7 0 6 4 5 5 6 1 6 1 3 3 1 3 1 3 1 7 0 10 4 4 1 1 9 5 3 4 9 9 1 1 1 1 2 2 1 1 5 0 6 1 8 2 6 2 1 3 1 2 2 1 1 2 5 5 1 6 1 5 5 3 3 6 1 9 0 11 8 6 3 7 3 4 9 1 2 9 3 3 2 2 1 2 1 3 1 1 1 9 0 6 6 1 4 8 2 9 2 2 2 1 1 3 2 1 2 1 9 0 7 3 8 1 3 6 2 8 1 1 3 2 2 1 1 1 1 1 3 1 1 1 2 3 5 1 8 0 8 7 2 1 6 1 2 1 5 2 2 1 1 2 3 3 1 1 9 0 11 4 8 6 6 8 6 7 6 1 3 9 3 1 1 1 3 2 2 1 3 1 5 0 6 1 4 6 4 4 1 1 3 1 1 2 1 5 2 2 2 3 5 1 7 0 6 9 1 1 3 1 4 2 3 1 1 1 2 1 1 8 0 10 5 8 5 8 8 6 7 1 4 5 1 2 3 1 1 3 3 1 1 7 0 6 4 1 9 6 2 8 1 3 2 1 2 2 2 3 2 3 2 1 3 4 1 8 0 7 3 1 9 5 2 8 2 3 2 1 2 3 1 3 1 1 9 0 10 9 3 1 3 1 3 9 1 5 7 2 1 1 3 2 3 2 2 3 1 8 0 11 1 3 2 2 6 9 7 2 1 1 1 2 3 1 1 3 1 1 2 2 5 2 5 3 7 1 6 0 9 4 4 4 4 6 3 1 7 7 3 1 3 2 1 2 1 6 0 6 8 8 5 9 1 1 3 3 3 2 1 1 1 7 0 11 6 3 7 1 6 1 1 1 3 9 7 1 1 3 3 1 2 3 4 2 1 3 4 1 4 4 6 7 5 5 3 6 1 5 0 9 8 8 6 8 9 7 1 5 6 1 2 3 1 2 1 8 0 7 6 1 4 1 7 2 1 1 3 1 1 3 2 1 2 1 7 0 11 6 4 1 9 4 1 7 4 8 9 3 3 1 2 1 1 1 1 5 5 1 4 3 3 3 4 1 7 0 7 6 5 1 3 7 6 6 1 3 1 2 1 1 3 1 5 0 9 1 2 4 1 1 3 4 3 6 3 2 3 1 1 1 5 0 10 7 1 7 1 7 1 6 2 7 9 3 1 1 2 1 2 1 3 3 3 5 1 9 0 8 3 8 1 4 4 2 4 1 1 1 2 2 2 1 3 1 3 1 9 0 9 8 4 2 2 1 6 1 4 9 1 1 1 1 2 2 3 2 3 1 6 0 10 9 7 3 8 5 3 5 4 1 5 3 1 1 2 1 1 1 3 1 1 2 3 7 1 5 0 9 5 7 8 1 9 9 2 6 3 2 1 3 2 2 1 9 0 10 1 3 4 1 1 2 8 6 4 1 2 1 3 1 1 1 2 3 1 1 5 0 6 1 9 6 4 7 1 3 2 1 1 3 1 3 2 3 5 2 3 3 4 1 7 0 9 2 6 7 2 2 1 8 7 3 2 1 1 1 3 3 2 1 6 0 10 1 1 8 4 9 4 5 2 1 6 2 1 2 1 3 1 1 6 0 11 1 4 2 4 8 9 5 1 2 5 6 1 3 3 3 1 3 1 3 1 5 1 5 6 2 7 5 3 3 4 1 7 0 6 4 1 9 3 5 5 2 1 1 3 3 3 1 1 6 0 8 4 3 6 8 2 1 7 1 2 2 1 1 2 1 1 6 0 9 3 4 8 8 1 7 3 2 2 2 2 2 2 3 1 5 5 4 2 3 4 1 6 0 8 1 8 7 1 3 5 8 1 3 1 2 1 2 1 1 7 0 10 2 1 6 5 1 2 1 8 6 5 1 3 2 1 3 1 2 1 5 0 9 8 4 3 5 6 2 1 9 3 3 1 2 3 1 2 3 2 1 3 4 1 6 0 11 3 4 4 8 8 4 6 4 4 1 1 3 1 3 1 1 2 1 5 0 8 4 1 7 7 1 4 8 7 1 1 1 3 1 1 7 0 7 6 1 7 5 5 5 5 1 2 1 2 1 2 1 5 3 1 3 3 7 1 6 0 6 4 1 6 4 4 4 1 1 2 1 2 2 1 6 0 6 9 6 7 5 7 1 3 1 3 2 2 1 1 7 0 6 7 5 1 2 8 8 2 1 1 2 1 1 2 1 4 2 4 5 3 4 3 7 1 6 0 7 8 4 7 8 1 7 8 2 2 1 3 1 1 1 8 0 8 3 4 1 7 7 2 2 9 3 3 1 1 1 3 1 2 1 9 0 11 6 4 8 2 2 8 8 5 1 4 1 3 3 3 3 3 1 2 1 1 1 2 3 4 4 1 5 4 3 1 1 2 1 6 3 5 4 3 5 1 8 0 6 6 5 7 1 1 1 1 3 1 2 3 1 1 2 1 8 0 8 9 1 9 1 8 2 5 6 1 3 1 1 3 1 1 3 1 6 0 8 5 9 1 7 1 2 1 5 1 1 2 2 2 3 4 1 2 5 3 3 6 1 8 0 7 7 1 8 9 2 2 9 2 2 1 3 1 3 3 2 1 9 0 8 6 5 9 7 1 3 3 1 2 1 1 2 2 3 3 1 1 1 6 0 9 4 7 9 1 6 4 4 5 4 1 2 3 2 3 2 4 5 3 3 4 5 3 7 1 9 0 11 7 1 1 2 8 1 6 8 1 9 8 3 2 1 3 1 3 2 1 2 1 6 0 8 1 1 4 2 7 9 6 3 2 3 1 2 2 2 1 5 0 10 7 9 7 5 3 6 1 6 7 5 1 1 2 2 3 2 4 5 4 5 4 5 3 6 1 8 0 8 2 1 9 1 6 3 3 6 1 2 3 1 3 2 2 3 1 6 0 6 1 1 7 3 1 1 3 3 1 1 2 3 1 8 0 10 7 9 7 8 5 1 3 3 3 6 1 1 3 1 3 3 3 1 5 3 3 4 2 1 3 7 1 8 0 6 4 3 8 3 1 7 2 3 2 2 1 2 2 1 1 9 0 6 6 1 4 2 6 3 1 2 1 2 2 1 1 1 3 1 5 0 7 1 5 6 5 8 9 9 1 2 3 3 1 4 1 4 2 2 2 3 4 6 5 4 5 5 3 5 1 9 0 8 2 6 1 7 9 7 9 7 1 3 3 1 2 1 1 1 3 1 8 0 9 4 1 7 8 1 4 1 1 8 3 1 3 1 1 3 1 2 1 8 0 8 2 2 1 7 5 5 6 8 1 3 2 2 3 2 2 3 2 3 1 5 2 3 4 1 8 0 7 1 1 5 5 6 6 1 3 1 1 1 3 1 3 2 1 6 0 8 1 6 8 3 1 9 1 6 3 2 1 2 1 2 1 6 0 6 5 1 4 1 9 1 2 1 3 2 1 2 3 2 5 5 3 4 1 5 0 7 9 9 2 4 8 8 1 3 1 1 2 1 1 8 0 11 4 8 2 5 1 2 9 1 5 7 4 3 3 3 1 1 3 2 2 1 9 0 11 3 5 5 1 8 2 8 2 5 4 1 2 1 3 1 1 3 1 3 3 3 2 2 1 3 6 1 5 0 11 1 1 2 1 2 2 3 3 5 7 2 2 3 1 1 2 1 7 0 9 5 8 6 5 5 3 2 3 1 3 1 1 3 3 3 1 1 8 0 7 3 7 2 4 8 2 1 2 2 1 3 2 1 1 1 2 4 2 1 5 2 3 5 1 7 0 10 8 8 9 1 1 3 8 7 8 6 1 2 3 1 2 2 1 1 8 0 11 1 6 1 4 1 4 8 3 6 4 5 3 2 2 2 3 2 2 1 1 8 0 8 5 3 8 1 9 6 5 6 3 1 2 2 2 1 3 1 5 5 1 3 2 6 4 4 7 2 4 5 3 5 1 5 0 6 9 1 3 2 4 1 2 1 1 2 1 1 8 0 10 3 1 2 4 7 2 8 1 3 5 2 1 3 1 3 2 2 1 1 7 0 11 2 2 1 1 2 5 4 2 9 6 5 1 1 1 2 3 1 3 3 2 3 5 3 3 4 1 6 0 9 3 7 7 7 1 1 5 7 7 2 3 1 2 1 1 1 6 0 6 6 5 1 7 7 6 2 1 3 3 1 2 1 6 0 9 1 1 4 3 7 1 9 7 6 2 2 1 1 2 3 1 3 3 1 3 5 1 6 0 7 5 4 4 1 4 9 6 2 3 2 3 1 1 1 5 0 10 7 3 6 4 9 1 9 4 9 9 2 2 1 1 3 1 9 0 9 7 1 7 6 2 2 2 8 7 2 2 2 2 3 2 1 3 3 2 2 1 1 1 3 7 1 7 0 10 5 6 7 9 1 4 1 2 8 5 3 1 1 2 1 1 3 1 9 0 8 4 4 3 4 4 9 2 1 1 1 3 2 2 1 1 3 3 1 7 0 8 9 4 2 1 7 6 8 4 2 2 1 2 2 2 3 3 4 3 3 3 3 5 1 3 5 5 5 5 3 3 4 1 7 0 11 1 1 3 1 3 6 2 1 6 9 9 1 1 3 1 1 2 1 1 6 0 6 2 4 1 2 1 8 3 1 1 1 3 1 1 5 0 10 5 7 4 1 2 4 8 1 2 9 3 1 2 3 1 4 3 1 5 3 5 1 5 0 6 4 2 8 1 6 1 2 1 1 2 1 1 6 0 11 1 1 4 1 8 9 8 7 7 1 1 1 3 3 1 3 3 1 9 0 11 7 1 4 8 5 8 5 1 6 7 5 1 3 3 3 1 2 2 1 2 5 5 1 4 2 3 4 1 8 0 11 5 7 6 1 9 8 8 3 5 3 5 2 1 1 3 1 3 1 2 1 8 0 9 8 9 1 8 5 2 1 3 1 3 1 3 3 1 3 1 1 1 5 0 7 1 1 4 9 2 1 8 3 1 3 1 1 5 3 3 1 3 4 1 6 0 6 8 7 3 1 6 1 3 1 2 3 2 1 1 7 0 8 3 5 3 8 5 1 6 3 3 3 1 3 3 1 1 1 9 0 11 7 1 1 3 9 9 5 5 2 6 6 2 2 2 3 1 2 3 2 3 4 2 2 2 3 4 1 9 0 9 4 4 4 5 1 7 9 5 4 3 3 3 1 2 1 1 3 3 1 7 0 6 2 8 5 1 1 7 1 1 1 2 2 1 1 1 8 0 8 2 6 2 8 1 7 7 1 1 1 2 1 1 2 3 1 1 2 3 1 5 2 2 4 4 3 4 1 8 0 9 2 8 7 7 2 2 1 3 2 1 1 3 2 1 2 2 2 1 5 0 7 8 5 1 1 3 9 8 1 1 2 1 1 1 8 0 7 3 4 9 1 6 8 3 2 1 2 2 3 1 3 3 2 2 4 2 3 5 1 5 0 11 7 1 6 6 7 7 5 2 1 1 5 2 3 1 1 1 1 5 0 6 4 8 7 1 4 6 1 1 1 1 1 1 9 0 7 4 3 1 6 1 3 1 3 1 1 1 3 2 1 3 1 1 5 5 2 3 3 5 1 7 0 7 9 7 3 1 8 9 6 1 1 1 3 3 3 1 1 9 0 8 8 7 7 4 8 4 7 1 3 3 1 1 2 1 3 2 2 1 5 0 8 9 5 1 4 4 4 5 2 2 1 1 3 3 1 3 5 1 2 3 5 1 8 0 6 4 5 5 1 3 4 2 2 1 3 1 1 2 2 1 7 0 8 5 1 1 1 3 8 5 7 3 2 3 1 2 3 2 1 8 0 8 7 3 4 1 1 1 1 5 1 2 1 1 1 3 1 3 4 5 5 3 3 3 1 2 2 5 3 3 4 1 9 0 11 1 9 2 9 3 1 4 7 8 6 4 1 1 3 2 1 2 1 3 3 1 5 0 6 9 1 5 8 4 8 3 1 2 3 2 1 8 0 8 1 1 1 4 1 4 5 4 3 2 2 2 2 3 2 1 3 1 2 3 3 4 1 7 0 10 7 9 4 8 7 2 1 2 5 1 2 1 1 2 2 3 2 1 7 0 8 8 8 3 1 2 7 9 3 3 1 3 2 1 2 2 1 8 0 8 9 2 1 5 2 9 9 1 3 1 1 2 1 1 2 2 4 1 5 2 3 5 1 8 0 10 4 3 1 8 7 3 3 2 3 1 1 2 2 1 1 1 3 3 1 9 0 10 1 5 5 2 8 2 9 9 9 8 2 2 1 3 2 1 1 2 1 1 8 0 9 7 4 5 5 1 2 3 8 9 3 1 3 2 1 3 3 1 5 2 5 2 4 3 6 1 5 0 8 7 1 1 7 1 1 6 1 2 1 1 1 2 1 5 0 6 1 9 2 4 3 1 3 3 2 1 2 1 7 0 9 1 9 4 7 4 5 1 9 6 3 1 2 2 1 2 3 1 3 3 1 2 1 3 7 1 7 0 6 6 4 3 7 1 6 1 1 2 2 1 1 2 1 7 0 6 4 1 1 5 9 3 3 1 1 2 2 3 1 1 6 0 7 7 3 6 3 1 2 5 1 1 3 2 1 1 4 3 1 3 5 5 1 1 6 4 4 4 7 6 2 4 5 3 7 1 7 0 6 6 3 7 7 1 4 2 2 3 1 3 3 3 1 7 0 9 8 2 6 2 9 6 1 3 1 2 3 1 2 2 3 1 1 6 0 10 7 1 9 9 9 3 1 4 9 2 2 1 3 1 2 3 3 2 2 4 5 4 2 3 7 1 9 0 8 7 9 1 2 1 5 1 9 2 2 3 1 2 1 1 2 1 1 9 0 9 2 1 7 6 4 4 8 1 4 2 1 1 1 3 2 3 2 3 1 9 0 10 8 9 2 2 8 8 4 1 5 8 3 1 1 2 2 1 1 2 1 2 1 4 4 1 4 5 3 5 1 6 0 9 3 6 6 7 7 1 4 7 3 2 1 2 3 3 1 1 9 0 7 1 1 9 7 7 6 6 1 1 2 1 2 3 1 1 1 1 5 0 8 8 1 4 7 4 2 3 6 2 1 1 1 3 4 5 1 4 3 3 5 1 7 0 9 8 2 3 2 1 4 7 4 1 3 1 3 3 3 2 1 1 6 0 10 8 7 4 9 5 7 6 1 8 4 1 2 2 2 3 1 1 5 0 8 7 8 4 8 1 8 9 7 2 1 3 1 3 3 5 2 4 1 6 2 2 6 3 5 4 3 5 1 6 0 8 5 1 7 5 2 7 1 1 1 3 2 1 1 3 1 6 0 10 1 4 6 7 7 6 2 9 3 6 1 1 1 3 3 1 1 9 0 11 5 2 9 1 5 4 5 2 6 3 5 3 1 1 1 3 2 2 2 1 5 3 1 1 3 3 4 1 6 0 10 5 4 1 3 1 8 4 7 3 2 2 2 3 1 1 2 1 8 0 11 1 9 1 2 6 3 5 7 5 1 3 1 3 1 3 3 1 2 1 1 9 0 10 2 8 6 1 1 3 4 5 7 7 3 3 2 1 1 3 1 3 1 5 1 2 3 3 5 1 8 0 10 6 1 3 4 2 5 4 3 6 8 1 1 3 1 1 1 3 2 1 9 0 6 3 1 3 4 3 1 1 1 1 1 2 2 2 1 1 1 9 0 6 4 1 1 7 7 7 1 1 3 2 3 2 1 2 1 5 5 1 3 2 3 5 1 8 0 7 7 5 6 7 6 1 2 3 1 2 1 3 3 3 1 1 7 0 11 7 9 4 7 9 1 6 5 3 7 3 1 3 1 1 3 3 1 1 6 0 10 1 8 7 7 6 3 1 6 9 5 3 3 1 1 1 1 3 1 4 3 2 3 5 1 7 0 7 7 9 1 1 5 6 6 1 2 3 2 3 2 1 1 7 0 7 8 8 8 1 1 7 4 1 1 2 3 2 3 3 1 6 0 7 7 6 1 4 1 9 1 2 1 1 3 1 2 5 5 1 3 4 7 5 4 7 5 3 3 4 1 9 0 6 8 1 5 7 7 2 3 1 1 1 1 2 2 1 3 1 5 0 7 9 7 4 2 1 5 2 1 2 2 1 2 1 8 0 10 7 4 2 9 6 1 1 5 8 1 3 1 1 2 1 1 2 2 1 5 1 1 3 6 1 5 0 9 2 4 5 2 1 7 7 6 9 3 1 3 3 3 1 9 0 8 1 8 1 4 1 7 7 9 3 1 1 1 2 1 1 2 3 1 8 0 6 2 2 2 1 8 6 1 1 2 3 1 3 1 1 2 3 5 3 5 2 3 5 1 9 0 11 8 8 3 7 1 4 2 1 1 9 2 2 2 1 1 1 3 1 3 1 1 9 0 6 3 9 1 3 1 2 2 1 2 2 1 2 3 1 3 1 5 0 8 5 1 1 6 2 1 1 2 1 2 1 3 3 4 5 1 1 3 3 5 1 6 0 7 5 1 4 2 4 2 6 1 1 2 1 2 3 1 7 0 8 2 6 6 7 6 1 2 6 2 3 3 1 1 2 1 1 9 0 9 1 7 8 1 3 2 9 7 2 1 3 1 1 2 3 1 1 3 1 4 1 2 3 3 4 1 6 0 8 8 7 1 3 6 8 9 4 2 2 1 1 1 1 1 5 0 9 4 4 9 6 1 7 2 2 1 1 3 2 3 1 1 7 0 7 3 2 8 4 5 1 2 3 2 1 2 1 1 2 5 4 4 2 4 4 5 4 4 3 6 1 5 0 7 2 1 1 2 1 6 2 3 1 1 3 2 1 6 0 8 4 2 9 9 2 3 1 5 3 1 1 1 3 1 1 8 0 6 8 1 8 6 7 7 3 3 1 1 1 1 3 3 2 4 1 2 4 4 3 6 1 6 0 8 1 1 3 1 5 1 9 5 2 1 1 1 2 2 1 6 0 10 4 1 4 7 9 5 7 5 1 8 2 3 2 1 2 1 1 9 0 8 8 1 3 9 1 4 5 4 2 2 1 3 3 3 2 3 2 2 1 5 2 3 5 3 7 1 5 0 11 3 7 2 7 9 1 8 4 7 9 1 3 2 1 3 1 1 6 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