Add initial input data for Day 11 of 2025 challenge

2025-12-11 08:47:55 +01:00
parent 1449ba79f0
commit a2353956d8
4 changed files with 1007 additions and 0 deletions
@@ -0,0 +1,202 @@
+"""Day 10: Advent of Code 2025."""
+
+import time
+import re
+from aoc import read_lines
+from itertools import combinations, product
+from scipy.optimize import milp, LinearConstraint, Bounds
+import numpy as np
+
+
+def parse_targets(s: str) -> list[int]:
+    """Parse {28,20,8,20} -> [28, 20, 8, 20] (target values per position)."""
+    match = re.search(r'\{([^}]+)\}', s)
+    if not match:
+        return []
+    return [int(x) for x in match.group(1).split(',')]
+
+
+def parse_total(s: str) -> int:
+    """Parse [.##.] -> 0b0110 (binary representation)."""
+    match = re.search(r'\[([.#]+)\]', s)
+    if not match:
+        return 0
+    pattern = match.group(1)
+    return int(pattern.replace('.', '0').replace('#', '1'), 2)
+
+
+def parse_groups_as_positions(s: str) -> list[list[int]]:
+    """Parse (3) (1,3) (2) -> [[3], [1,3], [2], ...].
+
+    Returns list of groups, where each group is a list of positions it affects.
+    """
+    groups = re.findall(r'\(([^)]+)\)', s)
+    result = []
+    for group in groups:
+        positions = [int(x) for x in group.split(',')]
+        result.append(positions)
+    return result
+
+
+def build_matrix(groups: list[list[int]], width: int) -> list[list[int]]:
+    """Build matrix where matrix[pos][group] = 1 if group affects position pos.
+
+    Rows = positions (0 to width-1)
+    Columns = groups
+    """
+    matrix = []
+    for pos in range(width):
+        row = []
+        for group in groups:
+            row.append(1 if pos in group else 0)
+        matrix.append(row)
+    return matrix
+
+
+def solve_system(matrix: list[list[int]], targets: list[int]) -> int | None:
+    """Solve the system and find minimum sum of k values.
+
+    Uses Mixed Integer Linear Programming:
+    - Minimize: sum of all k values
+    - Subject to: matrix @ k = targets, k >= 0, k are integers
+
+    Returns minimum sum of k values, or None if no solution.
+    """
+    if not matrix or not matrix[0]:
+        return None
+
+    num_groups = len(matrix[0])
+
+    # Convert to numpy arrays
+    A_eq = np.array(matrix, dtype=float)
+    b_eq = np.array(targets, dtype=float)
+
+    # Objective: minimize sum of k (coefficients all 1)
+    c = np.ones(num_groups)
+
+    # Bounds: k >= 0 (upper bound = max target value is safe)
+    max_val = max(targets) + 1
+    bounds = Bounds(lb=np.zeros(num_groups), ub=np.full(num_groups, max_val))
+
+    # Equality constraints: A @ k = b
+    constraints = LinearConstraint(A_eq, b_eq, b_eq)
+
+    # All variables must be integers
+    integrality = np.ones(num_groups)  # 1 = integer
+
+    # Solve
+    result = milp(c, constraints=constraints, bounds=bounds, integrality=integrality)
+
+    if not result.success:
+        return None
+
+    return int(round(result.fun))
+
+
+def parse_groups(s: str, width: int) -> list[list[int]]:
+    """Parse (3) (1,3) (2) -> [[bitmask, inverse], ...].
+
+    (1,3) with width 4 -> positions 1 and 3 from left -> 0101 (decimal 5)
+    Then also the inverse -> 1010 (decimal 10)
+    """
+    groups = re.findall(r'\(([^)]+)\)', s)
+    result = []
+    mask_all = (1 << width) - 1  # All bits set for inverse calculation
+
+    for group in groups:
+        nums = [int(x) for x in group.split(',')]
+        # Combine all positions into one bitmask (from left, so invert position)
+        bitmask = 0
+        for n in nums:
+            # Position n from left = bit (width - 1 - n) from right
+            bitmask |= (1 << (width - 1 - n))
+        # Duplicate the bitmask (using same value twice XORs to 0)
+        result.append([bitmask, bitmask])
+
+    return result
+
+
+def parse_line(line: str) -> tuple[int, list[list[int]]]:
+    """Parse full line, return (total_bitmask, groups)."""
+    # Get width from the [...] pattern
+    match = re.search(r'\[([.#]+)\]', line)
+    width = len(match.group(1)) if match else 0
+
+    total = parse_total(line)
+    groups = parse_groups(line, width)
+    return total, groups
+
+
+def combine_bitmasks(*bitmasks: int) -> int:
+    """Combine bitmasks with XOR."""
+    result = 0
+    for b in bitmasks:
+        result ^= b
+    return result
+
+def find_min_index_sum(total: int, groups: list[list[int]]) -> int:
+    """Find minimum index sum for combos that XOR to total.
+
+    Tries subsets of groups starting from smallest (r=1, r=2, ...).
+    Within each r, minimum possible sum is r (all index 0 -> r * 1).
+    If we find a match with sum S, we can skip any r where r > S.
+    """
+    n = len(groups)
+    # Max possible sum: n groups * 2 (max index 1 -> +2 each)
+    best = n * 2 + 1
+
+    for r in range(1, n + 1):
+        # Minimum possible sum for r groups is r (all index 0 = 1 each)
+        if r >= best:
+            break
+
+        for group_indices in combinations(range(n), r):
+            selected_groups = [groups[i] for i in group_indices]
+
+            # Try all index combinations within selected groups
+            for indices in product(*[range(len(g)) for g in selected_groups]):
+                index_sum = sum(idx + 1 for idx in indices)
+
+                # Skip if can't beat best
+                if index_sum >= best:
+                    continue
+
+                bitmasks = [selected_groups[i][idx] for i, idx in enumerate(indices)]
+                if combine_bitmasks(*bitmasks) == total:
+                    best = index_sum
+
+    return best
+
+
+def part1(data):
+    result = 0
+    for line in data:
+        total, groups = parse_line(line)
+        result += find_min_index_sum(total, groups)
+    return result
+
+def part2(data):
+    """Solve part 2."""
+    result = 0
+    for line in data:
+        groups = parse_groups_as_positions(line)
+        targets = parse_targets(line)
+        width = len(targets)
+        matrix = build_matrix(groups, width)
+        result += solve_system(matrix, targets)
+    return result
+
+
+if __name__ == "__main__":
+    DAY = 10  # <- ändra till rätt dag
+    data = read_lines(DAY)
+
+    t0 = time.perf_counter()
+    p1 = part1(data)
+    t1 = time.perf_counter()
+    print(f"Part 1: {p1}  ({(t1-t0)*1000:.2f} ms)")
+
+    t0 = time.perf_counter()
+    p2 = part2(data)
+    t1 = time.perf_counter()
+    print(f"Part 2: {p2}  ({(t1-t0)*1000:.2f} ms)")
@@ -0,0 +1,63 @@
+"""Day 11: Advent of Code 2025."""
+
+import time
+from collections import defaultdict
+from aoc import read_lines
+
+
+def build_graph(data: list[str]) -> dict[str, set[str]]:
+    """Build graph from input: 'fxp: udl vii hgb qmy' -> adjacency dict."""
+    graph = defaultdict(set)
+    for line in data:
+        node, neighbors = line.split(': ')
+        for neighbor in neighbors.split():
+            graph[node].add(neighbor)
+            
+    return graph
+
+def count_paths(node, target, graph, memo={}):
+      if node == target:
+          return 1
+      if node in memo:
+          return memo[node]
+
+      total = 0
+      for neighbor in graph[node]:
+          total += count_paths(neighbor, target, graph, memo)
+
+      memo[node] = total
+      return total
+
+def part1(data):
+    """Solve part 1."""
+    graph = build_graph(data)
+    count = count_paths("you", "out", graph)
+    return count
+
+
+def part2(data):
+    """Solve part 2."""
+    graph = build_graph(data)
+    c1 = count_paths("svr", "dac", graph, {})
+    c2 = count_paths("dac", "fft", graph, {})
+    c3 = count_paths("fft", "out", graph, {})
+    c4 = count_paths("svr", "fft", graph, {})
+    c5 = count_paths("fft", "dac", graph, {})
+    c6 = count_paths("dac", "out", graph, {})
+
+    return (c1 * c2* c3) + (c4*c5*c6)
+
+
+if __name__ == "__main__":
+    DAY = 11
+    data = read_lines(DAY)
+
+    t0 = time.perf_counter()
+    p1 = part1(data)
+    t1 = time.perf_counter()
+    print(f"Part 1: {p1}  ({(t1-t0)*1000:.2f} ms)")
+
+    t0 = time.perf_counter()
+    p2 = part2(data)
+    t1 = time.perf_counter()
+    print(f"Part 2: {p2}  ({(t1-t0)*1000:.2f} ms)")
@@ -0,0 +1,168 @@
+[#.#.] (0,2) (0,1,3) {28,20,8,20}
+[#.####.##.] (2,9) (0,1,3,4,5,6,8,9) (7,9) (0,4,9) (4,5,6) (1,2,4,7,8,9) (2,7,9) (1,2,3,4,5) (0,1,3,4,5,7,9) (0,7) (1,3,4,5,7) (1,3) {27,64,209,46,62,34,10,220,27,233}
+[..#...#.] (0,1,4,5,6,7) (0,2,3) (0,1,2,3,5,6,7) (0,1,2,3,6) (1,4) (0,1,2,5,6,7) {215,215,28,19,198,204,204,204}
+[......#.] (0,3) (0,1,2,4,5,6) (0,3,4,6) (1,2,4) (0,1,3,4,6) (0,1,2) (1,2,3,5) (2,5,7) (0,2) (0,1,5) {100,82,74,65,58,68,52,13}
+[#.##...] (3,6) (2,4,5) (3) (1,2,3) (0,1,2,3) (1,4,5) (0,2,6) {20,30,39,30,20,20,16}
+[#....] (0,2,3) (1) (0,4) (2,3,4) (3) (2,4) (0,1,3) {174,168,26,196,33}
+[.###] (1,2,3) (0,2) {9,16,25,16}
+[.#..#.] (0,2,3) (1,2,4,5) (1) (0,1,2) (1,4) (3,5) (0,3,5) {28,51,40,36,30,44}
+[#...#] (0,2,4) (2) (1,2) (1,2,3) (0,2,3,4) (0,2) (2,3) {203,15,240,25,10}
+[#...] (0,2,3) (1,3) (2,3) {18,11,33,44}
+[.#....####] (0,1,3,4,6,7,8,9) (0,1,2,6,7,8) (0,2,3,5,6,8,9) (4,9) (0,2,3,4,5,9) (1,2,3,4,5,6,7,9) (1,2,3,4,5,7,8,9) (0,1,3,5,6,8,9) (5,6) {46,36,47,60,55,55,50,33,33,68}
+[..##] (1,2) (1,3) (0,2) (0,3) {14,17,27,4}
+[.###..] (4) (0,1,2,5) (0,1,3) (1,4,5) (0,2) (3,4) {41,34,32,23,45,25}
+[#..####] (0,1,3,4,5,6) (4,5) (0,1,2,4,5) (2,5) (2,4) (0,3,6) {25,14,26,13,21,27,13}
+[.######] (1,2,3) (2,5) (0,3) (0,2,3,4) (1,2,4,6) (0,1,3,5,6) (1,2,3,4) (1,5) {18,39,38,28,16,42,9}
+[...#####.] (2,4,8) (0,1,2,3,4,5,8) (0,1,2,3,5,7) (0,8) (0,4) (0,3,4,5,6,7,8) (1,3,4,7,8) (0,4,5,6,7,8) (2) (1,3,4,6,7) (2,3) {35,39,43,45,27,29,8,44,30}
+[..##.#.##.] (1,3,6,8) (6,8) (0,2,3,4,5,8,9) (0,1,4,5,8,9) (4,6,8) (0,2,3,5,6) (0,1,2,4,5,7,8,9) (3,4,5,6) (0,1,2,4,6,7,8,9) (0,1,2,3,4,5,7) {54,39,35,35,79,69,49,19,72,46}
+[##.#....#] (1,5) (3,5,6,7,8) (1,2,3,5,6,7,8) (1,7,8) (0,1,3,6,8) (6) (0,2,5,7,8) (0,1,2,3,4,6,7) (0,4,5) (0,1,2,3,6,8) {44,65,26,46,27,74,54,60,64}
+[.#.##.##.#] (1,4,6,7) (0,1,3,5,7,9) (3,9) (0,1,2,3,5,8) (2,3,4,6,8,9) (1,3,4,5,6,7,9) (0,1,2,5,6,7) (1,7) (2,3,4,9) (0) (1,2,4,7) (0,2,4,6,7,8) (1,2,3,5,8) {159,212,79,188,77,173,55,192,53,157}
+[#.##..] (3,4) (0,2,3) (0,3,5) (2,3,4) (2,5) (0,1) {10,0,37,39,29,10}
+[.#..#.] (1,2,3,4) (2,3,5) (0,3,4,5) (0,1,3,5) {26,22,11,37,26,26}
+[#####.###.] (4,7,8) (0,1,2,3,5,6,8,9) (0,4,5,7,8,9) (2,3,5) (0,2,3,4,5,6,7,8) (5,6) (0,1,2,3,4,5,9) (0,1,2,5,6,9) (0,3,4,5,6,7,8,9) (3,4,5,6,8) (0,1,2,3,4,5,6,7,9) (0,8) (3,4,8,9) {261,225,243,252,56,278,262,29,257,242}
+[..#.] (0,1,3) (2) (1) {5,13,18,5}
+[#.##..] (1,4) (2,4) (0,5) (2,3) (2,3,5) {0,120,27,7,140,5}
+[.##.#.] (1,2) (0,1,3,5) (0,1,3) (0,1,2) (4,5) {13,13,5,8,11,11}
+[#.######] (0,1,2,3,4) (0,4,6,7) (2,4,5) (0,5,7) (0,1,3,4,7) (0,1,3,4,5,6) (1,5) (1,6,7) (3,6) {53,42,19,33,52,45,37,24}
+[..#.#.#] (0,1,5) (2,4) (1,2,3,5) (0,1,2,4,5,6) (3,4) (0,2,3,4,5,6) {31,38,35,14,32,39,16}
+[######.#.#] (1,5,7,8,9) (0,1,2,3,5,7,8,9) (2) (2,4,5) (0,1,2,3,4,5,7,9) (2,6) (1,6,8) (0,8) (0,3,5,6,7) (3,5,6) (1,2,4,5,7) (0,1,5,7) {63,48,83,48,45,90,31,65,41,35}
+[##..#...] (0,5,6,7) (0,3,4) (1,4,7) (0,4,5,6) (2,4,6) (0,2,3,5,7) (0,2,3,4,5,7) {64,0,20,35,49,44,34,30}
+[..#..#.#] (3,4,6) (0,3,5,7) (1,2) (0,3,4,7) (1,3,4) (4,6) (2,5,7) (0,1,2,7) (2,4,6) (1,2,3,4,6,7) {27,38,48,50,49,18,25,49}
+[.#.#] (1) (0,1,3) (1,3) (0,3) (0,1,2) {8,198,8,8}
+[.#..#.] (3,4,5) (0,2,4) (3,5) (1,3,4,5) (1,2,3,5) (0,5) {19,22,24,60,47,64}
+[..##.#..##] (2,4,5,8) (0,3,4,5,6,9) (1,4,5,6,7,8,9) (5,9) (3,4,5,7) (1,2,3,4,5,6,7,9) (0,1,2,3,6,8,9) (1,2,3,6,7,8,9) (0,1,2,7,8,9) {19,50,40,52,45,48,50,50,41,55}
+[..#######.] (1,2,3,6,7) (0,3,4,6,8) (0,1,2,5,7,9) (0,1,2,4,5,8) (0,1,3,4,5,6,7) (6,7) (0,1,3,4,5,7,8,9) (1,4,6) (2,5,6,8) (0,3,5,7,8) (1,2,5,6,8,9) (1,7,8,9) (0,3,4,5,6,7,8) {73,72,42,73,75,74,100,76,75,20}
+[####....] (0,1,3,5,6,7) (0,1,2,3) (2,3,5) (0,4,7) (4,7) (0,1,3,4,6) (3,4,5) {34,24,15,39,35,15,13,11}
+[#.##.#.] (1,5) (1,3) (0,3,4,6) (0,4,5) (4,5,6) (1) (2,3,5) (0,1,2,3,4) {34,31,20,36,51,30,25}
+[#...##..#.] (0,2,4,6,7) (0,4,5,8,9) (4,5,9) (0,1,3,5,7,8,9) (0,2,3,5,6,9) (1,2,3,4,5,8,9) (2,4,5,7,8) (0,1,2,3,5,8) (0,2,4,5,6,8,9) (0,1,3,5,7,8) (0,2,3,9) (1) (0,1,2,4,5,6,8,9) {96,49,105,64,81,99,52,38,79,92}
+[..#..###.] (0,2,3,4,6) (0,2,8) (0,1,2,5,6,7) (0,2,5,6,8) (0,1,2,5,7) (0,2,5) (0,5,7,8) (5,8) (0,2,3,4,5,6,8) {51,15,47,13,13,51,25,19,29}
+[##.#] (0,3) (1,3) (2,3) (3) {2,108,16,133}
+[#..#] (1,2) (3) (2,3) (0,3) (2) (1,2,3) {13,10,44,38}
+[#....] (2,4) (0,2,3,4) (3) (0,1,4) {20,6,24,15,30}
+[...##...] (0,2,5,6,7) (1,6,7) (0,1,3,6,7) (2,4,5,6,7) (0,1,2,5,7) (4) (0,2,5,6) {186,168,54,152,31,54,210,201}
+[###.####.] (4,5,6) (2,3,5) (3) (2,3,4) (1,2,5) (0,2,4,5,8) (1,3,4,6,7,8) (0,3,4,6,7) (0,1,2,5,6,7) {27,26,33,34,43,32,32,29,30}
+[####...#.] (0,1,2,3,4,6,7) (0,1,3,5,7,8) (0,1,8) (0,1,2,3,5,7,8) (0,1,2,3,7) (3,4,5,7,8) (0,1,2,3,6,7,8) (1,2,4,5,6,7,8) {61,72,46,55,36,46,31,66,75}
+[.##.#..] (0,1) (0,3,4,6) (0,1,3,4,5) (0,1,2,3,4) (0,2,4,5) (4) (0,3,4,5) (1,3,4,5,6) (0,1,2,4,5) {91,51,51,54,92,59,23}
+[#..#.##.#] (2,3,5,8) (0,1,2,5,6,7) (0,2) (1,2,4,5,6,7,8) (3,5,7) (0,7,8) (0,2,3,4,6,7) (0,1,3,6) (1,4,8) (0,3,4,8) (0,1,3,4,6,8) {69,48,39,66,47,35,56,50,62}
+[.#.#.....#] (0,2,3,5,6,8,9) (0,1,2,7,8) (0,2,3,5,6,7,8,9) (4,6,7) (1,2,4,5,6,7,8,9) (1,3,9) (0,1,3,4,7) (4,9) {38,45,36,41,50,32,43,64,36,44}
+[.###.#...] (0,2,3,4,5,6) (0,6,8) (4,8) (1,2,3,4,6,7,8) (0,5) (0,1,2,3,4,5,6) (1,3,4,7) (0,1,2,3,4,5,6,8) (0,1,2,3) {49,48,56,65,64,34,47,27,35}
+[#...#] (0,1,4) (1,2,3) (0,1,2,3) (1,3,4) (1,2,4) {26,57,17,37,40}
+[#.#.##] (1,3,5) (1,2,3,4) (0,2,4) (0,2,4,5) {153,9,155,9,155,159}
+[#.##.#] (0,2,3,4) (0,2,4) (1,3) (4,5) (0,1,2,5) (0,2,3,5) {143,13,143,123,137,40}
+[.##.#..#] (0,2,3,7) (1,2,4,5) (0,3,4) (5,7) (1,2,4,6,7) (4,6,7) (2,4,6) (0,1,2,3,4,6,7) (1,2,3,4,7) {28,52,62,46,72,24,34,70}
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+[#..#.#] (0,1,2,3) (1) (0,3) (4,5) (0,4,5) (0,4) (1,2) (0,1) {55,45,14,21,36,24}
+[..####....] (0,1,3,6) (1,4,7) (0,2,3,8) (2,8) (0,1,2,3,4,6,7,8) (0,2,3,4,5,6,7) (3,8) (2,6,8) (0,1,2,3,4,5,6,9) (0,2,4,5,6,7,9) {59,43,67,65,63,37,55,47,38,18}
+[#.###.] (4,5) (3,5) (1,5) (0,2,3,5) (2,3,4) (3,4) {17,16,37,224,196,48}
+[...####.#.] (1,4,5,8,9) (0,3,6,7) (1,2,4,5,7,9) (0,4,8) (1,2,6,8,9) (0,1,2,3,5,6,9) (0,2,3) (4,5,6) {39,42,54,38,28,43,31,24,9,42}
+[#...] (2) (0,2,3) (0) (0,1,3) (0,1,2) {37,16,27,15}
+[..####.#..] (1,4) (2,3,4,5,7) (5,7) (8,9) (0,2,3,4,6,9) (0,5,6) (0,1,2,3,8,9) (0,1,5,6) (0,1,3,4,5,6,7,8,9) (1,2,3,7,9) (0,1,6) (4,6) {250,76,34,45,38,224,231,34,51,61}
+[.#.###..] (1,2,3,4,7) (0,1,3,6) (1,3,4,5) (3,5,6,7) (1,5,7) (0,1,7) (0,1,2) (1,2,4,5,7) {39,256,39,37,31,223,21,227}
+[.#...###..] (2,6,9) (2,3) (1,5,6,7) (0,2,5,7,8,9) (0,1,2,7,9) (3,4,6,8,9) (1,2,4,6,7,9) (0,1,2,3,4,6,7,9) {29,29,160,28,26,22,166,40,31,178}
+[.##....#] (0,1,3,4,5,6,7) (4) (1,2,4,6) (1,2,3,5,6,7) (0,2,3,4,5,6) (0,2,5,6) (3,7) (2,6) (0,1,2,3,4,7) (0,1,2,4,5,7) {54,76,97,53,72,61,79,61}
+[###.#] (0,1,2,3,4) (2,3) (0,1,3,4) {17,17,21,24,17}
+[.##.#] (0,1,2) (1,2) (0,3,4) (0,3) {32,15,15,32,15}
+[.......##] (1,5,6) (0,1,2,4,5,6,8) (5,7) (3,5) (0,1,3,4,6,8) (2,3,5) (3,4,6,7) (0,1,3,4,5) (0,1,2,4,5,6,7,8) (2,8) {26,42,23,48,41,59,41,18,22}
+[####] (1,3) (0,1,3) (2) {0,19,1,19}
+[..#.#.###] (1,2,3,5,6,7,8) (2,3,5,6,7) (6) (1,2,3,4,5,7,8) (0,1,2,5,8) (0,1,6,8) (2,4) (2,3,6,8) {9,26,40,37,9,22,40,22,41}
+[....##..#.] (0,2,5,7,8) (5,8) (0,2,3,4,5,6,8,9) (2,4,5,6) (0,2,6,7) (0,2,3,5,7,8,9) (9) (2,5,7,9) (0,1,3,9) (6,9) (3,6,7) (1,5) {63,34,73,62,22,93,55,66,49,73}
+[##..#] (0,2) (3,4) (1,2,3,4) (1,3,4) (1,4) {13,18,14,11,23}
+[###..] (0,1,2) (0,2,3,4) (1,3,4) {35,22,35,27,27}
+[..##.##.] (0,1) (1,5,6) (1,2,5) (2,3,5,6) (5,6) (0,2,3,4,7) (1,3,5) (2,7) {17,234,36,15,0,247,229,13}
+[.####..] (0,1,2,6) (2,5,6) (0,6) (4,5) (1,5) (2,3,4,5,6) (0,1,3,4,5,6) {49,30,38,35,53,66,77}
+[####.] (0,3,4) (0) (1,4) (1,2,3) (0,1,2,3) {29,30,17,29,25}
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+gdh: hpw
+bag: pab aov xbk cmi
+bqw: dml tum php
+txi: aeo dmr adp waa nhj uni
+krd: gwp
+wke: dni wxl jwl
+ldf: uqb tcu hrd
+jmn: knq xee jmk
+ylm: fan bcq lts
+qpo: ppm laq qgn jlg
+qgn: ucp ejz phn cmt lcp uuh xje tqs gep foj gdh tph nhf fwn dcr wck ryr bvv tmb zrw srh vis ggn
+tpb: ifs laq
+uvl: hlo cel bxg pbm
+iur: rjp vnd ytc
+oil: uut lte
+oxm: ppm laq qgn jlg
+grp: qgh sid
+lzx: vns csx saf
+uji: qgn jlg ppm laq
+amv: wks uge tns
+qup: qcj
+xmq: mwu you
+fqn: sva
+gpu: sta xee jmk txi
+nfj: mwd goq