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authorkaiwu <kaiwu2004@gmail.com>2023-01-20 21:48:43 +0800
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2016 day13 part1
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+--- Day 13: A Maze of Twisty Little Cubicles ---
+
+You arrive at the first floor of this new building to discover a much less welcoming environment than the shiny atrium of the last one. Instead, you are in a maze of twisty little cubicles, all alike.
+
+Every location in this area is addressed by a pair of non-negative integers (x,y). Each such coordinate is either a wall or an open space. You can't move diagonally. The cube maze starts at 0,0 and seems to extend infinitely toward positive x and y; negative values are invalid, as they represent a location outside the building. You are in a small waiting area at 1,1.
+
+While it seems chaotic, a nearby morale-boosting poster explains, the layout is actually quite logical. You can determine whether a given x,y coordinate will be a wall or an open space using a simple system:
+
+ Find x*x + 3*x + 2*x*y + y + y*y.
+ Add the office designer's favorite number (your puzzle input).
+ Find the binary representation of that sum; count the number of bits that are 1.
+ If the number of bits that are 1 is even, it's an open space.
+ If the number of bits that are 1 is odd, it's a wall.
+
+For example, if the office designer's favorite number were 10, drawing walls as # and open spaces as ., the corner of the building containing 0,0 would look like this:
+
+ 0123456789
+0 .#.####.##
+1 ..#..#...#
+2 #....##...
+3 ###.#.###.
+4 .##..#..#.
+5 ..##....#.
+6 #...##.###
+
+Now, suppose you wanted to reach 7,4. The shortest route you could take is marked as O:
+
+ 0123456789
+0 .#.####.##
+1 .O#..#...#
+2 #OOO.##...
+3 ###O#.###.
+4 .##OO#OO#.
+5 ..##OOO.#.
+6 #...##.###
+
+Thus, reaching 7,4 would take a minimum of 11 steps (starting from your current location, 1,1).
+
+What is the fewest number of steps required for you to reach 31,39?
+
+Your puzzle input is 1352.