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| use std::{fs::OpenOptions, io::{Read, Write}}; | |
| use itertools::Itertools; | |
| type Matrix = [[u8; 20]; 40]; | |
| type Inverse = [[u8; 40]; 20]; | |
| static MS: [(Matrix, Inverse); 4] = [ | |
| ( | |
| [ | |
| [0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1], | |
| [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0], | |
| [0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0], | |
| [0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], | |
| [1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1], | |
| [1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0], | |
| [0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0], | |
| [1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1], | |
| [0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], | |
| [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1], | |
| [0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0], | |
| [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1], | |
| [0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0], | |
| [0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1], | |
| [0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0], | |
| [0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0], | |
| [1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0], | |
| [0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0], | |
| [1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1], | |
| [1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1], | |
| [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0], | |
| [1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1], | |
| [0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], | |
| [1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0], | |
| [0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], | |
| [0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1], | |
| [1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0], | |
| [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0], | |
| [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1], | |
| [0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], | |
| [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0], | |
| [1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0], | |
| [1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0], | |
| [1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0], | |
| [0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0], | |
| [0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0], | |
| [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0], | |
| [0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0], | |
| [0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], | |
| [0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1], | |
| ], | |
| [ | |
| [ | |
| 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| ], | |
| ), | |
| ( | |
| [ | |
| [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1], | |
| [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0], | |
| [1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1], | |
| [0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0], | |
| [1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0], | |
| [0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1], | |
| [0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1], | |
| [1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1], | |
| [1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0], | |
| [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1], | |
| [0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1], | |
| [0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1], | |
| [1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0], | |
| [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0], | |
| [0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1], | |
| [0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0], | |
| [0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0], | |
| [1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1], | |
| [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1], | |
| [1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1], | |
| [0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1], | |
| [1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0], | |
| [1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0], | |
| [0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0], | |
| [0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0], | |
| [1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0], | |
| [0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0], | |
| [0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0], | |
| [1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], | |
| [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0], | |
| [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1], | |
| [0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1], | |
| [0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0], | |
| [0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1], | |
| [1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1], | |
| [0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0], | |
| [0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1], | |
| [0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], | |
| [0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0], | |
| [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1], | |
| ], | |
| [ | |
| [ | |
| 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| ], | |
| ), | |
| ( | |
| [ | |
| [1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0], | |
| [0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1], | |
| [1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1], | |
| [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0], | |
| [1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0], | |
| [0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1], | |
| [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0], | |
| [0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0], | |
| [1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0], | |
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| [1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0], | |
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| [1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0], | |
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| [1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0], | |
| [1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1], | |
| [1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1], | |
| [1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0], | |
| [1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0], | |
| [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1], | |
| [1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], | |
| [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0], | |
| [0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1], | |
| [0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0], | |
| [1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1], | |
| [0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1], | |
| [1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1], | |
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| ], | |
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| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
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| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
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| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
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| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
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| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
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| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| ], | |
| ), | |
| ( | |
| [ | |
| [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0], | |
| [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1], | |
| [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], | |
| [1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0], | |
| [1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1], | |
| [0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0], | |
| [0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], | |
| [1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1], | |
| [1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1], | |
| [1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0], | |
| [0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1], | |
| [1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0], | |
| [1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0], | |
| [1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0], | |
| [0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1], | |
| [1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], | |
| [1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1], | |
| [1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1], | |
| [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0], | |
| [0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], | |
| [1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0], | |
| [0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1], | |
| [1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1], | |
| [1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], | |
| [0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], | |
| [0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1], | |
| [0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0], | |
| [0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0], | |
| [1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0], | |
| [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0], | |
| [0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1], | |
| [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1], | |
| [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0], | |
| [1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0], | |
| [0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0], | |
| [0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0], | |
| [1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0], | |
| [1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0], | |
| [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1], | |
| [1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0], | |
| ], | |
| [ | |
| [ | |
| 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
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| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| [ | |
| 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, | |
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | |
| ], | |
| ], | |
| ), | |
| ]; | |
| extern "C" { | |
| fn rand() -> u32; | |
| fn srand(seed: u32); | |
| } | |
| fn matmul(m: &[&[u8]], value: u64) -> u64 { | |
| let mut ret = 0; | |
| for (i, r) in m.iter().enumerate() { | |
| let mut b = 0; | |
| for (j, &x) in r.iter().enumerate() { | |
| if x == 1 { | |
| b ^= (value >> j) & 1; | |
| } | |
| } | |
| ret |= b << i; | |
| } | |
| ret | |
| } | |
| fn invert_and_check(m_idx: usize, mut v: u64) -> Option<u64> { | |
| v &= (1 << 40) - 1; | |
| let (m, m_inv) = MS[m_idx]; | |
| let m: Vec<_> = m.iter().map(|arr| arr.as_slice()).collect(); | |
| let m_inv: Vec<_> = m_inv.iter().map(|arr| arr.as_slice()).collect(); | |
| let x = matmul(&m_inv, v); | |
| if matmul(&m, x) != v { | |
| return None; | |
| } | |
| return Some(x) | |
| } | |
| fn decode_with_rands(chunks: [u64; 4], rands: &[&[u32]]) -> Option<u128> { | |
| let mut num = 0u128; | |
| for (i, (n, rs)) in chunks.iter().zip(rands).enumerate() { | |
| let [r1, r2] = &rs else { | |
| unreachable!() | |
| }; | |
| let mut n = *n; | |
| n ^= 1 << (r2 & 0x3f); | |
| n ^= 1 << (r1 & 0x3f); | |
| n = invert_and_check(i, n)?; | |
| num |= (n as u128) << (i * 20); | |
| } | |
| Some(num) | |
| } | |
| fn u40(bytes: &[u8]) -> u64 { | |
| assert_eq!(bytes.len(), 5); | |
| let mut buf = [0; 8]; | |
| buf[..bytes.len()].copy_from_slice(bytes); | |
| u64::from_le_bytes(buf) | |
| } | |
| fn p80(mut num: u128, out: &mut [u8]) { | |
| assert!(out.len() >= 10); | |
| for i in 0..10 { | |
| out[i] = (num & 0xff) as u8; | |
| num >>= 8; | |
| } | |
| } | |
| fn main() { | |
| unsafe { | |
| srand(1); | |
| } | |
| let mut encfile = OpenOptions::new().read(true).write(false).create(false).open("flag_enc").unwrap(); | |
| let mut outfile = OpenOptions::new().read(false).write(true).create(true).open("decoded").unwrap(); | |
| let n_chunks = encfile.metadata().unwrap().len() / 20; | |
| 'outer: for iter_no in tqdm::tqdm(0..n_chunks) { | |
| let mut chunk = [0; 20]; | |
| let Ok(_) = encfile.read_exact(&mut chunk) else { | |
| break; | |
| }; | |
| let (c0, chunk) = chunk.split_at(5); | |
| let (c1, chunk) = chunk.split_at(5); | |
| let (c2, c3) = chunk.split_at(5); | |
| let rands = [(); 8].map(|_| unsafe { rand() }); | |
| let chunks = [u40(c0), u40(c1), u40(c2), u40(c3)]; | |
| for rands in rands.chunks_exact(2).permutations(4) { | |
| if let Some(num) = decode_with_rands(chunks, &rands) { | |
| let mut out = [0; 10]; | |
| p80(num, &mut out); | |
| outfile.write_all(&out).unwrap(); | |
| continue 'outer; | |
| } | |
| } | |
| for permutation in rands.into_iter().permutations(8) { | |
| let rands = permutation.chunks_exact(2).collect::<Vec<_>>(); | |
| if let Some(num) = decode_with_rands(chunks, &rands) { | |
| let mut out = [0; 10]; | |
| p80(num, &mut out); | |
| outfile.write_all(&out).unwrap(); | |
| continue 'outer; | |
| } | |
| } | |
| panic!("Decoding failed on chunk {iter_no}"); | |
| } | |
| } |
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