256 lines
7.5 KiB
Markdown
256 lines
7.5 KiB
Markdown
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## \-\-- Day 22: Sporifica Virus \-\--
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Diagnostics indicate that the local *grid computing cluster* has been
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contaminated with the *Sporifica Virus*. The grid computing cluster is a
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seemingly-infinite
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two-dimensional grid of compute nodes. Each node is either *clean* or
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*infected* by the virus.
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To [prevent
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overloading](https://en.wikipedia.org/wiki/Morris_worm#The_mistake) the
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nodes (which would render them useless to the virus) or detection by
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system administrators, exactly one *virus carrier* moves through the
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network, infecting or cleaning nodes as it moves. The virus carrier is
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always located on a single node in the network (the *current node*) and
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keeps track of the *direction* it is facing.
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To avoid detection, the virus carrier works in bursts; in each burst, it
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*wakes up*, does some *work*, and goes back to *sleep*. The following
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steps are all executed *in order* one time each burst:
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- If the *current node* is *infected*, it turns to its *right*.
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Otherwise, it turns to its *left*. (Turning is done in-place; the
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*current node* does not change.)
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- If the *current node* is *clean*, it becomes *infected*. Otherwise,
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it becomes *cleaned*. (This is done *after* the node is considered
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for the purposes of changing direction.)
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- The virus carrier
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[moves](https://www.youtube.com/watch?v=2vj37yeQQHg) *forward* one
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node in the direction it is facing.
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Diagnostics have also provided a *map of the node infection status*
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(your puzzle input). *Clean* nodes are shown as `.`; *infected* nodes
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are shown as `#`. This map only shows the center of the grid; there are
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many more nodes beyond those shown, but none of them are currently
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infected.
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The virus carrier begins in the middle of the map facing *up*.
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For example, suppose you are given a map like this:
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..#
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#..
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...
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Then, the middle of the infinite grid looks like this, with the virus
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carrier\'s position marked with `[ ]`:
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . # . . .
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. . . #[.]. . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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The virus carrier is on a *clean* node, so it turns *left*, *infects*
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the node, and moves left:
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . # . . .
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. . .[#]# . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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The virus carrier is on an *infected* node, so it turns *right*,
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*cleans* the node, and moves up:
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . .[.]. # . . .
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. . . . # . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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Four times in a row, the virus carrier finds a *clean*, *infects* it,
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turns *left*, and moves forward, ending in the same place and still
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facing up:
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . #[#]. # . . .
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. . # # # . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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Now on the same node as before, it sees an infection, which causes it to
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turn *right*, *clean* the node, and move forward:
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . # .[.]# . . .
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. . # # # . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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After the above actions, a total of `7` bursts of activity had taken
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place. Of them, `5` bursts of activity caused an infection.
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After a total of `70`, the grid looks like this, with the virus carrier
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facing up:
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. . . . . # # . .
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. . . . # . . # .
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. . . # . . . . #
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. . # . #[.]. . #
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. . # . # . . # .
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. . . . . # # . .
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. . . . . . . . .
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. . . . . . . . .
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By this time, `41` bursts of activity caused an infection (though most
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of those nodes have since been cleaned).
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After a total of `10000` bursts of activity, `5587` bursts will have
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caused an infection.
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Given your actual map, after `10000` bursts of activity, *how many
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bursts cause a node to become infected*? (Do not count nodes that begin
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infected.)
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Your puzzle answer was `5266`.
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The first half of this puzzle is complete! It provides one gold star: \*
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## \-\-- Part Two \-\-- {#part2}
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As you go to remove the virus from the infected nodes, it *evolves* to
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resist your attempt.
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Now, before it infects a clean node, it will *weaken* it to disable your
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defenses. If it encounters an infected node, it will instead *flag* the
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node to be cleaned in the future. So:
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- *Clean* nodes become *weakened*.
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- *Weakened* nodes become *infected*.
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- *Infected* nodes become *flagged*.
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- *Flagged* nodes become *clean*.
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Every node is always in exactly one of the above states.
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The virus carrier still functions in a similar way, but now uses the
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following logic during its bursts of action:
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- Decide which way to turn based on the *current node*:
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- If it is *clean*, it turns *left*.
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- If it is *weakened*, it does *not* turn, and will continue
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moving in the same direction.
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- If it is *infected*, it turns *right*.
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- If it is *flagged*, it *reverses* direction, and will go back
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the way it came.
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- Modify the state of the *current node*, as described above.
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- The virus carrier moves *forward* one node in the direction it is
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facing.
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Start with the same map (still using `.` for *clean* and `#` for
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infected) and still with the virus carrier starting in the middle and
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facing *up*.
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Using the same initial state as the previous example, and drawing
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*weakened* as `W` and *flagged* as `F`, the middle of the infinite grid
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looks like this, with the virus carrier\'s position again marked with
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`[ ]`:
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . # . . .
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. . . #[.]. . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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This is the same as before, since no initial nodes are *weakened* or
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*flagged*. The virus carrier is on a clean node, so it still turns left,
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instead *weakens* the node, and moves left:
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . # . . .
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. . .[#]W . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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The virus carrier is on an infected node, so it still turns right,
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instead *flags* the node, and moves up:
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . .[.]. # . . .
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. . . F W . . . .
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. . . . . . . . .
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. . . . . . . . .
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This process repeats three more times, ending on the previously-flagged
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node and facing right:
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . W W . # . . .
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. . W[F]W . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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Finding a flagged node, it reverses direction and *cleans* the node:
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . W W . # . . .
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. .[W]. W . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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The *weakened* node becomes infected, and it continues in the same
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direction:
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . W W . # . . .
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.[.]# . W . . . .
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. . . . . . . . .
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. . . . . . . . .
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. . . . . . . . .
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Of the first `100` bursts, `26` will result in *infection*.
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Unfortunately, another feature of this evolved virus is *speed*; of the
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first `10000000` bursts, `2511944` will result in *infection*.
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Given your actual map, after `10000000` bursts of activity, *how many
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bursts cause a node to become infected*? (Do not count nodes that begin
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infected.)
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Answer:
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Although it hasn\'t changed, you can still [get your puzzle
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input](22/input).
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