🐰

VERSION

@@ -1 +1 @@
-🐄
+🐰

makefile

@@ -4,6 +4,7 @@ export
 .SILENT:
 
 FILE := $(shell find . -path "./y????/p??.*" -type f | xargs ls -rt | tail -n 1)
+PYTHON := docker compose run --rm advent python
 
 YEAR := $(shell echo ${FILE} | sed -E 's/.+y([0-9]+).+/\1/')
 DAY := $(shell echo ${FILE} | sed -E 's/.+p([0-9]+).+/\1/' | bc)
@@ -14,20 +15,20 @@ CODE := $(BASE).py
 DATA := $(BASE).dat
 TEST := $(BASE).dtt
 
-
 main: ${TEST}
-	echo 'test':
-	cat ${TEST} | docker compose run --rm advent python -u ${CODE}
+	echo 'test:'
+	cat ${TEST} | ${PYTHON} -u ${CODE}
 
 clean: ${DATA}
 	echo 'real:'
-	cat ${DATA} | docker compose run --rm advent python -u ${CODE}
+	cat ${DATA} | ${PYTHON} -u ${CODE}
 
 save:
 	git add .
 	test `git log -1 --format=%s` == `cat VERSION` \
 		&& git commit --amend --reuse-message=head \
 		|| git commit -m `cat VERSION`
+	git push -f
 
 ${DATA} ${TEST}:
 	# avoid spam in the lead up to the event

y2023/p24.py

@@ -0,0 +1,69 @@
+import collections
+import itertools
+import re
+
+
+def part1(H):
+    """
+    2 variables, 2 equations
+
+    px1 + vx1 * t1 == px2 + vx2 * t2
+    py1 + vy1 * t1 == py2 + vy2 * t2
+
+    t1 = (px2 - px1) / vx1 + (vx2 / vx1) * t2
+    t1 = (py2 - py1) / vy1 + (vy2 / vy1) * t2
+
+    (px2 - px1) / vx1 - (py2 - py1) / vy1 = (vy2 / vy1 - vx2 / vx1) * t2
+    t2 = c1 / c2
+    c1 = (px2 - px1) / vx1 - (py2 - py1) / vy1
+    c2 = (vy2 / vy1 - vx2 / vx1)
+    """
+    n = 0
+    lo, hi = (7, 27) if len(H) < 100 else (2e14, 4e14)
+    for aa, bb in itertools.combinations(H, 2):
+        px1, py1, pz1, vx1, vy1, vz1 = aa
+        px2, py2, pz2, vx2, vy2, vz2 = bb
+
+        c1 = (px2 - px1) / vx1 - (py2 - py1) / vy1
+        c2 = (vy2 / vy1 - vx2 / vx1)
+        if c2 == 0: continue
+        t2 = (c1 / c2)
+        t1 = (px2 - px1) / vx1 + (vx2 / vx1) * t2
+        if t1 <= 0 or t2 <= 0: continue
+        if not lo < px1 + vx1 * t1 < hi: continue
+        if not lo < py1 + vy1 * t1 < hi: continue
+        if not lo < px2 + vx2 * t2 < hi: continue
+        if not lo < py2 + vy2 * t2 < hi: continue
+        n += 1
+    return n
+
+
+def part2(H):
+    """
+    6 + t variables, 3 * t equations
+    """
+    try:
+        import z3
+    except:
+        return 'Need z3-solver'
+    Q = {k: z3.Real(k) for k in 'px py pz vx vy vz t0 t1 t2'.split()}
+    solver = z3.Solver()
+    solver.add(H[0].px + H[0].vx * Q['t0'] == Q['px'] + Q['vx'] * Q['t0'])
+    solver.add(H[0].py + H[0].vy * Q['t0'] == Q['py'] + Q['vy'] * Q['t0'])
+    solver.add(H[0].pz + H[0].vz * Q['t0'] == Q['pz'] + Q['vz'] * Q['t0'])
+    solver.add(H[1].px + H[1].vx * Q['t1'] == Q['px'] + Q['vx'] * Q['t1'])
+    solver.add(H[1].py + H[1].vy * Q['t1'] == Q['py'] + Q['vy'] * Q['t1'])
+    solver.add(H[1].pz + H[1].vz * Q['t1'] == Q['pz'] + Q['vz'] * Q['t1'])
+    solver.add(H[2].px + H[2].vx * Q['t2'] == Q['px'] + Q['vx'] * Q['t2'])
+    solver.add(H[2].py + H[2].vy * Q['t2'] == Q['py'] + Q['vy'] * Q['t2'])
+    solver.add(H[2].pz + H[2].vz * Q['t2'] == Q['pz'] + Q['vz'] * Q['t2'])
+    solver.check()
+    model = solver.model()
+    return model.eval(Q['px'] + Q['py'] + Q['pz'])
+
+
+text = open(0).read()
+Hail = collections.namedtuple('Hail', 'px py pz vx vy vz')
+H = [Hail(*[int(n) for n in re.findall(r'-?\d+', line)]) for line in text.splitlines()]
+print(part1(H))
+print(part2(H))

y2023/p25.py

@@ -0,0 +1,66 @@
+import random
+import itertools
+import copy
+import collections
+
+
+def make_graph(text):
+    graph = collections.defaultdict(set)
+    for aa, *bbs in map(str.split, text.replace(':', '').splitlines()):
+        graph[aa] |= set(bbs)
+        for bb in bbs:
+            graph[bb] |= {aa}
+    return graph
+
+
+def cut(graph, wires):
+    graph = graph.copy()
+    for aa, bb in wires:
+        graph[aa] = graph[aa] - {bb}
+        graph[bb] = graph[bb] - {aa}
+    return graph
+
+
+def subgraphs(graph):
+    conns = []
+    while graph:
+        state = {next(iter(graph))}
+        seen = set()
+        while state:
+            state = {new for old in state for new in graph[old] if new not in seen}
+            seen |= state
+        conns.append(seen)
+        for node in seen:
+            graph.pop(node)
+    return conns
+
+
+def shortest_path(graph, aa, bb):
+    state = {aa: None}
+    seen = {}
+    while bb not in state:
+        state = {new: old for old in state for new in graph[old] if new not in seen}
+        seen |= state
+
+    path = [bb]
+    while path[-1] != aa:
+        path.append(seen[path[-1]])
+    return path
+
+
+def rank_wires(graph, n_cycles=100, n_top=20):
+    tally = collections.Counter()
+    for aa, bb in sorted(itertools.combinations(graph, 2))[:n_cycles]:
+        path = shortest_path(graph, aa, bb)
+        tally.update(frozenset(pair) for pair in zip(path, path[1:]))
+    return [k for k, _ in tally.most_common(n_top)]
+
+
+text = open(0).read()
+graph = make_graph(text)
+for triplet in itertools.combinations(rank_wires(graph), 3):
+    mod_graph = cut(graph, triplet)
+    subs = subgraphs(mod_graph)
+    if len(subs) == 2:
+        print(len(subs[0]) * len(subs[1]))
+        break