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| 1 | +use crate::util; |
| 2 | +use cspuz_rs::graph; |
| 3 | +use cspuz_rs::serializer::{ |
| 4 | + problem_to_url_pzprxs, url_to_problem, Choice, Combinator, Dict, Grid, HexInt, Optionalize, |
| 5 | + Spaces, |
| 6 | +}; |
| 7 | +use cspuz_rs::solver::Solver; |
| 8 | + |
| 9 | +pub fn solve_nuriloop(clues: &[Vec<Option<i32>>]) -> Option<graph::BoolGridEdgesIrrefutableFacts> { |
| 10 | + let (h, w) = util::infer_shape(clues); |
| 11 | + |
| 12 | + let mut solver = Solver::new(); |
| 13 | + let is_line = &graph::BoolGridEdges::new(&mut solver, (h - 1, w - 1)); |
| 14 | + solver.add_answer_key_bool(&is_line.horizontal); |
| 15 | + solver.add_answer_key_bool(&is_line.vertical); |
| 16 | + let is_passed = &graph::single_cycle_grid_edges(&mut solver, is_line); |
| 17 | + |
| 18 | + let mut has_question_mark = false; |
| 19 | + let mut sum = 0; |
| 20 | + |
| 21 | + let mut clue_pos = vec![]; |
| 22 | + for y in 0..h { |
| 23 | + for x in 0..w { |
| 24 | + if let Some(n) = clues[y][x] { |
| 25 | + if n < 0 { |
| 26 | + has_question_mark = true; |
| 27 | + } |
| 28 | + sum += n; |
| 29 | + clue_pos.push((y, x, n)); |
| 30 | + } |
| 31 | + } |
| 32 | + } |
| 33 | + |
| 34 | + // Parity check |
| 35 | + if !has_question_mark && (h as i32 * w as i32 - sum) % 2 != 0 { |
| 36 | + return None; |
| 37 | + } |
| 38 | + |
| 39 | + let group_id = solver.int_var_2d((h, w), 0, clue_pos.len() as i32); |
| 40 | + |
| 41 | + solver.add_expr(is_passed.iff(group_id.eq(0))); |
| 42 | + |
| 43 | + for i in 1..=clue_pos.len() { |
| 44 | + graph::active_vertices_connected_2d(&mut solver, group_id.eq(i as i32)); |
| 45 | + } |
| 46 | + |
| 47 | + solver.add_expr( |
| 48 | + (!is_passed.conv2d_or((2, 1))).imp( |
| 49 | + group_id |
| 50 | + .slice((..(h - 1), ..)) |
| 51 | + .eq(group_id.slice((1.., ..))), |
| 52 | + ), |
| 53 | + ); |
| 54 | + solver.add_expr( |
| 55 | + (!is_passed.conv2d_or((1, 2))).imp( |
| 56 | + group_id |
| 57 | + .slice((.., ..(w - 1))) |
| 58 | + .eq(group_id.slice((.., 1..))), |
| 59 | + ), |
| 60 | + ); |
| 61 | + |
| 62 | + for (i, &(y, x, n)) in clue_pos.iter().enumerate() { |
| 63 | + solver.add_expr(group_id.at((y, x)).eq((i + 1) as i32)); |
| 64 | + if n > 0 { |
| 65 | + solver.add_expr(group_id.eq((i + 1) as i32).count_true().eq(n)); |
| 66 | + } |
| 67 | + } |
| 68 | + |
| 69 | + solver.irrefutable_facts().map(|f| f.get(is_line)) |
| 70 | +} |
| 71 | + |
| 72 | +type Problem = Vec<Vec<Option<i32>>>; |
| 73 | + |
| 74 | +fn combinator() -> impl Combinator<Problem> { |
| 75 | + Grid::new(Choice::new(vec![ |
| 76 | + Box::new(Optionalize::new(HexInt)), |
| 77 | + Box::new(Spaces::new(None, 'g')), |
| 78 | + Box::new(Dict::new(Some(-1), ".")), |
| 79 | + ])) |
| 80 | +} |
| 81 | + |
| 82 | +pub fn serialize_problem(problem: &Problem) -> Option<String> { |
| 83 | + problem_to_url_pzprxs(combinator(), "nuriloop", problem.clone()) |
| 84 | +} |
| 85 | + |
| 86 | +pub fn deserialize_problem(url: &str) -> Option<Problem> { |
| 87 | + url_to_problem(combinator(), &["nuriloop"], url) |
| 88 | +} |
| 89 | + |
| 90 | +#[cfg(test)] |
| 91 | +mod tests { |
| 92 | + use super::*; |
| 93 | + |
| 94 | + fn problem_for_tests() -> Problem { |
| 95 | + vec![ |
| 96 | + vec![Some(4), None, None, None, None], |
| 97 | + vec![None, None, None, Some(2), None], |
| 98 | + vec![None, None, None, None, None], |
| 99 | + vec![None, Some(1), None, None, None], |
| 100 | + vec![None, None, None, None, None], |
| 101 | + ] |
| 102 | + } |
| 103 | + |
| 104 | + #[test] |
| 105 | + fn test_nuriloop_problem() { |
| 106 | + let problem = problem_for_tests(); |
| 107 | + let ans = solve_nuriloop(&problem); |
| 108 | + assert!(ans.is_some()); |
| 109 | + let ans = ans.unwrap(); |
| 110 | + |
| 111 | + let expected_edges = graph::GridEdges { |
| 112 | + horizontal: crate::util::tests::to_option_bool_2d([ |
| 113 | + [0, 0, 1, 1], |
| 114 | + [0, 0, 0, 0], |
| 115 | + [1, 1, 0, 0], |
| 116 | + [0, 0, 1, 0], |
| 117 | + [1, 1, 0, 1], |
| 118 | + ]), |
| 119 | + vertical: crate::util::tests::to_option_bool_2d([ |
| 120 | + [0, 0, 1, 0, 1], |
| 121 | + [0, 0, 1, 0, 1], |
| 122 | + [1, 0, 0, 0, 1], |
| 123 | + [1, 0, 1, 1, 1], |
| 124 | + ]), |
| 125 | + }; |
| 126 | + assert_eq!(ans, expected_edges); |
| 127 | + } |
| 128 | + |
| 129 | + #[test] |
| 130 | + fn test_nurilooop_serializer() { |
| 131 | + { |
| 132 | + let problem = problem_for_tests(); |
| 133 | + let url = "https://pzprxs.vercel.app/p?nuriloop/5/5/4m2m1n"; |
| 134 | + util::tests::serializer_test(problem, url, serialize_problem, deserialize_problem); |
| 135 | + } |
| 136 | + } |
| 137 | +} |
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