[README] Improve probem types, algorithms, data structures

Author: goggle

README.md

@@ -20,21 +20,21 @@ This Julia package contains my solutions for [Advent of Code 2024](https://adven
 | 8 | [:white_check_mark:](https://adventofcode.com/2024/day/8) | Grid | Line Tracing, Grid Traversal | 94.050 μs | 46.30 KiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day08.jl) |
 | 9 | [:white_check_mark:](https://adventofcode.com/2024/day/9) | Array manipulation | Greedy | 28.311 ms | 9.58 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day09.jl) |
 | 10 | [:white_check_mark:](https://adventofcode.com/2024/day/10) | Grid | Recursion, DFS | 578.868 μs | 633.67 KiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day10.jl) |
-| 11 | [:white_check_mark:](https://adventofcode.com/2024/day/11) | Simulation | Memoization | 15.667 ms | 12.60 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day11.jl) |
-| 12 | [:white_check_mark:](https://adventofcode.com/2024/day/12) | Grid | BFS | 12.204 ms | 10.00 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day12.jl) |
+| 11 | [:white_check_mark:](https://adventofcode.com/2024/day/11) | Simulation | Dynamic Programming, Memoization | 15.667 ms | 12.60 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day11.jl) |
+| 12 | [:white_check_mark:](https://adventofcode.com/2024/day/12) | Grid | BFS, Flood Fill | 12.204 ms | 10.00 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day12.jl) |
 | 13 | [:white_check_mark:](https://adventofcode.com/2024/day/13) | Linear Algebra | Linear Systems  | 3.101 ms | 1.15 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day13.jl) |
-| 14 | [:white_check_mark:](https://adventofcode.com/2024/day/14) | Simulation | Modulo Arithmetic | 26.443 ms | 274.98 KiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day14.jl) |
-| 15 | [:white_check_mark:](https://adventofcode.com/2024/day/15) | Grid | Simulation | 1.944 ms | 3.16 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day15.jl) |
+| 14 | [:white_check_mark:](https://adventofcode.com/2024/day/14) | Simulation | Brute Force | 26.443 ms | 274.98 KiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day14.jl) |
+| 15 | [:white_check_mark:](https://adventofcode.com/2024/day/15) | Simulation | Flood Fill, BFS | 1.944 ms | 3.16 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day15.jl) |
 | 16 | [:white_check_mark:](https://adventofcode.com/2024/day/16) | Path Finding, Grid | Dijkstra's Algorithm, BFS, Priority Queue, Deque | 20.822 ms | 9.21 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day16.jl) |
-| 17 | [:white_check_mark:](https://adventofcode.com/2024/day/17) | Virtual Machine | Simulation, Reverse Engineering | 6.921 ms | 706.30 KiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day17.jl) |
-| 18 | [:white_check_mark:](https://adventofcode.com/2024/day/18) | Grid, Path Finding | BFS, Binary Search  | 3.007 ms | 5.51 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day18.jl) |
-| 19 | [:white_check_mark:](https://adventofcode.com/2024/day/19) | Strings | Dynamic Programming, Memoization, Recursion  | 57.908 ms | 3.41 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day19.jl) |
-| 20 | [:white_check_mark:](https://adventofcode.com/2024/day/20) | Grid, Path Finding, Search | BFS, Deque  | 49.638 ms | 701.11 KiB| [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day20.jl) |
-| 21 | [:white_check_mark:](https://adventofcode.com/2024/day/21) | Path Finding | Memoization, Graph Traversal  | 296.609 μs | 78.89 KiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day21.jl) |
-| 22 | [:white_check_mark:](https://adventofcode.com/2024/day/22) | Simulation, Math, Bitwise Arithmetic | Bitwise operations, Memoization  | 25.522 ms | 1.18 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day22.jl) |
-| 23 | [:white_check_mark:](https://adventofcode.com/2024/day/23) | Graph | DFS, Adjacency Matrix | 4.197 ms | 3.82 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day23.jl) |
-| 24 | [:white_check_mark:](https://adventofcode.com/2024/day/24) | Graph | Topological Sorting, Bitwise Arithmetic | 2.497 s | 4.82 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day24.jl) |
-| 25 | [:white_check_mark:](https://adventofcode.com/2024/day/25) | Logic | Array Manipulation  | 2.178 ms | 3.47 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day25.jl) |
+| 17 | [:white_check_mark:](https://adventofcode.com/2024/day/17) | Virtual Machine | Simulation, Reverse Engineering, Backtracking | 6.921 ms | 706.30 KiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day17.jl) |
+| 18 | [:white_check_mark:](https://adventofcode.com/2024/day/18) | Path Finding | BFS, Binary Search  | 3.007 ms | 5.51 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day18.jl) |
+| 19 | [:white_check_mark:](https://adventofcode.com/2024/day/19) | Strings | Backtracking, Memoization, Recursion  | 57.908 ms | 3.41 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day19.jl) |
+| 20 | [:white_check_mark:](https://adventofcode.com/2024/day/20) | Path Finding | BFS, Grid Traversal | 49.638 ms | 701.11 KiB| [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day20.jl) |
+| 21 | [:white_check_mark:](https://adventofcode.com/2024/day/21) | Path Finding, Simulation | Memoization, Graph Traversal, Deque  | 296.609 μs | 78.89 KiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day21.jl) |
+| 22 | [:white_check_mark:](https://adventofcode.com/2024/day/22) | Simulation | Bitwise operations, Hashing, Memoization  | 25.522 ms | 1.18 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day22.jl) |
+| 23 | [:white_check_mark:](https://adventofcode.com/2024/day/23) | Graph | DFS, Clique Detection, Adjacency Matrix | 4.197 ms | 3.82 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day23.jl) |
+| 24 | [:white_check_mark:](https://adventofcode.com/2024/day/24) | Logic | Topological Sorting, Bitwise Operations | 2.497 s | 4.82 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day24.jl) |
+| 25 | [:white_check_mark:](https://adventofcode.com/2024/day/25) | Matching | Brute Force  | 2.178 ms | 3.47 MiB | [:white_check_mark:](https://github.com/goggle/AdventOfCode2024.jl/blob/main/src/day25.jl) |
 
 
 The benchmarks have been measured on this machine: