2017 Day 03 Complete!

2017/day03/problem

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+Advent of Code
+
+--- Day 3: Spiral Memory ---
+
+   You come across an experimental new kind of memory stored on an infinite
+   two-dimensional grid.
+
+   Each square on the grid is allocated in a spiral pattern starting at a
+   location marked 1 and then counting up while spiraling outward. For example,
+   the first few squares are allocated like this:
+
+ 17  16  15  14  13
+ 18   5   4   3  12
+ 19   6   1   2  11
+ 20   7   8   9  10
+ 21  22  23---> ...
+
+   While this is very space-efficient (no squares are skipped), requested data
+   must be carried back to square 1 (the location of the only access port for
+   this memory system) by programs that can only move up, down, left, or right.
+   They always take the shortest path: the Manhattan Distance between the
+   location of the data and square 1.
+
+   For example:
+
+     * Data from square 1 is carried 0 steps, since it's at the access port.
+     * Data from square 12 is carried 3 steps, such as: down, left, left.
+     * Data from square 23 is carried only 2 steps: up twice.
+     * Data from square 1024 must be carried 31 steps.
+
+   How many steps are required to carry the data from the square identified in
+   your puzzle input all the way to the access port?
+
+   Your puzzle answer was ____.
+
+--- Part Two ---
+
+   As a stress test on the system, the programs here clear the grid and then
+   store the value 1 in square 1. Then, in the same allocation order as shown
+   above, they store the sum of the values in all adjacent squares, including
+   diagonals.
+
+   So, the first few squares' values are chosen as follows:
+
+     * Square 1 starts with the value 1.
+     * Square 2 has only one adjacent filled square (with value 1), so it also
+       stores 1.
+     * Square 3 has both of the above squares as neighbors and stores the sum of
+       their values, 2.
+     * Square 4 has all three of the aforementioned squares as neighbors and
+       stores the sum of their values, 4.
+     * Square 5 only has the first and fourth squares as neighbors, so it gets
+       the value 5.
+
+   Once a square is written, its value does not change. Therefore, the first few
+   squares would receive the following values:
+
+ 147  142  133  122   59
+ 304    5    4    2   57
+ 330   10    1    1   54
+ 351   11   23   25   26
+ 362  747  806--->   ...
+
+   What is the first value written that is larger than your puzzle input?
+
+   Your puzzle answer was _______.
+
+   Both parts of this puzzle are complete! They provide two gold stars: **
+
+   At this point, you should return to your advent calendar and try another
+   puzzle.
+
+   Your puzzle input was 312051.
+
+References
+
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+   . https://en.wikipedia.org/wiki/Taxicab_geometry
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