day25 the solution is easier to calculate once you have the loop count

day13.py

@@ -20,17 +20,27 @@ def part1(test_mode=False):
 def part2(test_mode=False):
     my_input = aoclib.getInputAsArraySplit(day=DAY, split_char=",", test=test_mode)
 
-    bus_ids = {-i: int(v) for i, v in enumerate(my_input[1]) if v != 'x'}
-    lowest_common_multiple = math.lcm(*bus_ids.values())
-    base_multipliers = [lowest_common_multiple // interval for interval in bus_ids.values()]
-    modular_multiplicative_inverses = [
-        pow(base_multiplier, -1, interval)
-        for base_multiplier, interval
-        in zip(base_multipliers, bus_ids.values())
-    ]
+    bus_ids = {i: int(v) for i, v in enumerate(my_input[1]) if v != 'x'}
+    # utilizing the Chinese Remainder Theorem we are searching for x = i (mod bus_ids[i]) for all i
+    # watch https://www.youtube.com/watch?v=ru7mWZJlRQg for an easy explanation
+
+    # finding the "left" part of each (mod x) part
+    base_multiplier = {i: math.prod(bus_ids.values()) // v for i, v in bus_ids.items()}
+
+    # finding the "right" part of each (mod x) part utilizing the Extended Euclidean Algorithm
+    # s. Python documentation on pow(x, -1, y)
+    ext_multiplier = {i: pow(base_multiplier[i], -1, bus_ids[i]) for i in bus_ids}
+
+    # sum all multiplications together and add our offset
+    # EEA gives us base_multiplier[i] * x == 1(one!) (mod bus_ids[i])
+    # but we need base_multiplier[i] * x == i (mod bus_ids[i])
+    answer = sum(i * base_multiplier[i] * ext_multiplier[i] for i in bus_ids)
+
+    # and shrink it down
+    # for the -answer see pythons behaviour when calculating the mod of negative numbers with positive divisor
+    # also: http://python-history.blogspot.com/2010/08/why-pythons-integer-division-floors.html
+    lowest_common_multiple = math.lcm(*bus_ids.values())
+    answer = -answer % lowest_common_multiple
+
+    return answer
 
-    return sum(
-        offset * multiplier * mmi
-        for offset, multiplier, mmi
-        in zip(bus_ids.keys(), base_multipliers, modular_multiplicative_inverses)
-    ) % lowest_common_multiple

day23.py

@@ -6,64 +6,51 @@ TEST_SOLUTION_PART2 = 149245887792
 
 
 class Cup:
-    def __init__(self, label, left=None, right=None):
+    def __init__(self, label, right=None):
         self.label = label
-        self.left = left
         self.right = right
 
 
-def buildDoubleLinkedListDict(cup_list):
+def buildLinkedListDict(cup_list):
     cups = {}
     left_cup = None
     first_cup = None
-    last_cup = None
     for cup in cup_list:
-        thisCup = Cup(cup, left_cup, None)
+        thisCup = Cup(cup, None)
         if first_cup is None:
             first_cup = thisCup
         else:
-            last_cup.right = thisCup
+            left_cup.right = thisCup
         left_cup = thisCup
-        last_cup = thisCup
         cups[cup] = thisCup
 
-    first_cup.left = last_cup
-    last_cup.right = first_cup
+    thisCup.right = first_cup
 
     return cups, first_cup
 
 
-def play(cups, current_cup):
+def play(cups, current_cup, max_label):
     first_pickup = current_cup.right
     first_after_pickup = current_cup.right.right.right.right
     current_cup.right = first_after_pickup
-    first_after_pickup.left = current_cup
 
-    pickup_cups = [first_pickup.label, first_pickup.right.label, first_pickup.right.right.label]
+    destination_label = current_cup.label - 1 if current_cup.label > 1 else max_label
+    while destination_label in [first_pickup.label, first_pickup.right.label, first_pickup.right.right.label]:
+        destination_label = destination_label - 1 if destination_label > 1 else max_label
 
-    current_label = current_cup.label - 1 if current_cup.label > 1 else max(cups.keys())
-    while current_label in pickup_cups:
-        current_label -= 1
-        if current_label == 0:
-            current_label = max(cups.keys())
-
-    desination_cup = cups[current_label]
-
-    desination_right = desination_cup.right
+    desination_cup = cups[destination_label]
+    first_pickup.right.right.right = desination_cup.right
     desination_cup.right = first_pickup
-    first_pickup.left = desination_cup
-    desination_right.left = first_pickup.right.right
-    first_pickup.right.right.right = desination_right
 
     return cups, current_cup.right
 
 
 def part1(test_mode=False):
     my_input = aoclib.getInputAs2DArray(day=DAY, return_type=int, test=test_mode)
-    cups, current_cup = buildDoubleLinkedListDict(my_input[0])
+    cups, current_cup = buildLinkedListDict(my_input[0])
 
-    for round in range(100):
-        cups, current_cup = play(cups, current_cup)
+    for _ in range(100):
+        cups, current_cup = play(cups, current_cup, 9)
 
     answer = ""
     add_cup = cups[1]
@@ -76,9 +63,9 @@ def part1(test_mode=False):
 
 def part2(test_mode=False):
     my_input = aoclib.getInputAs2DArray(day=DAY, return_type=int, test=test_mode)
-    cups, current_cup = buildDoubleLinkedListDict(my_input[0] + list(range(max(my_input[0]) + 1, 1000001)))
+    cups, current_cup = buildLinkedListDict(my_input[0] + list(range(max(my_input[0]) + 1, 1_000_001)))
 
-    for round in range(10000000):
-        cups, current_cup = play(cups, current_cup)
+    for _ in range(10_000_000):
+        cups, current_cup = play(cups, current_cup, 1_000_000)
 
     return cups[1].right.label * cups[1].right.right.label

day24.py

@@ -0,0 +1,68 @@
+import aoclib
+
+DAY = 24
+TEST_SOLUTION_PART1 = 10
+TEST_SOLUTION_PART2 = 2208
+
+
+def getTileGrid(from_input):
+    grid = {}
+    for line in from_input:
+        x = 0
+        y = 0
+        while len(line) > 0:
+            if line[0] == 'e':
+                x += 1
+                line = line[1:]
+            elif line[0] == 'w':
+                x -= 1
+                line = line[1:]
+            elif line[0] == 'n':
+                y -= 1
+                if line[1] == 'e':
+                    x += 1
+                line = line[2:]
+            elif line[0] == 's':
+                y += 1
+                if line[1] == 'w':
+                    x -= 1
+                line = line[2:]
+
+        if (x, y) in grid:
+            del grid[(x, y)]
+        else:
+            grid[(x, y)] = True
+
+    return grid
+
+
+def part1(test_mode=False):
+    my_input = aoclib.getInputAsArray(day=DAY, test=test_mode)
+
+    grid = getTileGrid(my_input)
+
+    return len(grid)
+
+
+def part2(test_mode=False):
+    my_input = aoclib.getInputAsArray(day=DAY, test=test_mode)
+    grid = getTileGrid(my_input)
+
+    for i in range(100):
+        black_neighbour_count = {}
+        for coord in grid:
+            x, y = coord
+            for nCoord in [(x-1, y), (x-1, y+1), (x, y-1), (x, y+1), (x+1, y-1), (x+1, y)]:
+                black_neighbour_count[nCoord] = black_neighbour_count.get(nCoord, 0) + 1
+
+        for nCoord, nCount in black_neighbour_count.items():
+            if nCoord in grid and nCount > 2:
+                del grid[nCoord]
+            elif nCoord not in grid and nCount == 2:
+                grid[nCoord] = True
+
+        for coord in grid.copy():
+            if coord not in black_neighbour_count:
+                del grid[coord]
+
+    return len(grid)

day25.py

@@ -0,0 +1,33 @@
+import aoclib
+
+DAY = 25
+TEST_SOLUTION_PART1 = 14897079
+TEST_SOLUTION_PART2 = 0
+
+
+def transform(key, subject_number, loop_size=1):
+    for _ in range(loop_size):
+        key = key * subject_number % 20201227
+
+    return key
+
+
+def part1(test_mode=False):
+    my_input = aoclib.getInputAsArray(day=DAY, return_type=int, test=test_mode)
+
+    loop_card = 1
+    public_key_card = 1
+    while pow(7, loop_card, 20201227) != my_input[0]:
+        loop_card += 1
+        public_key_card = transform(public_key_card, 7)
+
+    public_key_door = my_input[1]
+
+    # as we start with a key of 1, it's just a matter of
+    # multiplying public_key_door with itself loop_card times ....
+    return pow(public_key_door, loop_card, 20201227)
+
+
+def part2(test_mode=False):
+    # there is no part2 for day 25
+    return 0

inputs/24

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inputs/24_test

@@ -0,0 +1,20 @@
+sesenwnenenewseeswwswswwnenewsewsw
+neeenesenwnwwswnenewnwwsewnenwseswesw
+seswneswswsenwwnwse
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+eneswnwswnwsenenwnwnwwseeswneewsenese
+neswnwewnwnwseenwseesewsenwsweewe
+wseweeenwnesenwwwswnew

inputs/25

@@ -0,0 +1,2 @@
+8335663
+8614349

inputs/25_test

@@ -0,0 +1,2 @@
+5764801
+17807724