Upload scripts/gen_hard2.py with huggingface_hub
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scripts/gen_hard2.py
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| 1 |
+
"""gen_hard2 — procedurally generated REASONING puzzles with verified unique solutions.
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| 2 |
+
Unlike v1, labels come from brute-force solvers over combinatorial spaces, and
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| 3 |
+
surface wording is drawn from large paraphrase pools -> memorization-resistant."""
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| 4 |
+
import hashlib, itertools, json, random
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| 5 |
+
from datetime import date, timedelta
|
| 6 |
+
|
| 7 |
+
random.seed(31337)
|
| 8 |
+
D = "/root/alea/data/"
|
| 9 |
+
ROWS = []
|
| 10 |
+
|
| 11 |
+
FIRST = ["Avery", "Blair", "Casey", "Devon", "Emery", "Finley", "Gray", "Harper",
|
| 12 |
+
"Indigo", "Jordan", "Kai", "Logan", "Morgan", "Nico", "Onyx", "Parker",
|
| 13 |
+
"Quinn", "Reese", "Sage", "Tatum", "Uma", "Vale", "Wren", "Xander", "Yael", "Zion"]
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| 14 |
+
OBJSETS = [
|
| 15 |
+
("book", ["red", "green", "blue", "yellow", "purple", "orange", "white", "black"]),
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| 16 |
+
("runner", ["Ana", "Bo", "Cy", "Dee", "Eli", "Fay", "Gil", "Hal"]),
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| 17 |
+
("vehicle", ["sedan", "truck", "motorcycle", "bicycle", "scooter", "bus", "van", "limo"]),
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| 18 |
+
("fruit", ["apple", "pear", "plum", "kiwi", "mango", "peach", "melon", "fig"]),
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| 19 |
+
("dog", ["labrador", "poodle", "beagle", "husky", "corgi", "boxer", "collie", "shiba"]),
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| 20 |
+
]
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| 21 |
+
ORDS = ["first", "second", "third", "fourth", "fifth", "sixth", "seventh", "eighth"]
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| 22 |
+
LEFT = ["is somewhere to the left of", "is positioned left of", "comes before", "is earlier than", "precedes"]
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| 23 |
+
ADJ = ["is immediately to the left of", "is right next to", "sits directly beside on the left of", "is adjacent and just before"]
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| 24 |
+
ABS = ["is in position {k}", "occupies spot {k}", "is number {k}", "takes the {o} place"]
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| 25 |
+
LAST_CLUE = ["is last", "comes last", "is in the final position", "is at the end"]
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| 26 |
+
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| 27 |
+
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| 28 |
+
def emit(state, instr, kind, crit, tgval, src, gid):
|
| 29 |
+
qs = {"q": {"type": kind, "instructions": instr, "criteria": crit}}
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| 30 |
+
ROWS.append({"state": state, "id": gid, "questions": qs,
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| 31 |
+
"targets": {"q": tgval}, "source": src,
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| 32 |
+
"group_id": gid, "family": src})
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| 33 |
+
|
| 34 |
+
|
| 35 |
+
# ---------- 1. ordering CSP (logical_deduction-style, brute-force verified) ----------
|
| 36 |
+
def gen_order(i):
|
| 37 |
+
n = random.choice([4, 5, 5, 5, 6])
|
| 38 |
+
objtype, names = random.choice(OBJSETS)
|
| 39 |
+
items = random.sample(names, n)
|
| 40 |
+
perm = list(range(n))
|
| 41 |
+
random.shuffle(perm)
|
| 42 |
+
pos_of = {items[k]: perm[k] for k in range(n)} # item -> 0-indexed pos
|
| 43 |
+
contexts = {
|
| 44 |
+
"book": "On a shelf, {} books are arranged left to right.",
|
| 45 |
+
"runner": "In a race, {} runners finished in some order.",
|
| 46 |
+
"vehicle": "{} vehicles are parked in a row, left to right.",
|
| 47 |
+
"fruit": "{} fruits are arranged on a table left to right.",
|
| 48 |
+
"dog": "{} dogs are lined up in a parade.",
|
| 49 |
+
}
|
| 50 |
+
intro = contexts[objtype].format(n)
|
| 51 |
+
listing = "The {}s are: " + ", ".join(items) + "."
|
| 52 |
+
if objtype == "runner":
|
| 53 |
+
listing = "The runners are: " + ", ".join(items) + "."
|
| 54 |
+
# build clue set until unique solution
|
| 55 |
+
perms = list(itertools.permutations(range(n)))
|
| 56 |
+
def sat(clues):
|
| 57 |
+
cnt = 0; sol = None
|
| 58 |
+
for prm in perms:
|
| 59 |
+
p = {items[k]: prm[k] for k in range(n)}
|
| 60 |
+
ok = True
|
| 61 |
+
for c in clues:
|
| 62 |
+
if c[0] == "lt" and not p[c[1]] < p[c[2]]: ok = False
|
| 63 |
+
if c[0] == "adj" and not p[c[1]] + 1 == p[c[2]]: ok = False
|
| 64 |
+
if c[0] == "abs" and not p[c[1]] == c[2]: ok = False
|
| 65 |
+
if c[0] == "last" and not p[c[1]] == n - 1: ok = False
|
| 66 |
+
if not ok: break
|
| 67 |
+
if ok:
|
| 68 |
+
cnt += 1; sol = prm
|
| 69 |
+
if cnt > 1: return None, cnt
|
| 70 |
+
return sol, cnt
|
| 71 |
+
clues = []
|
| 72 |
+
tries = 0
|
| 73 |
+
while True:
|
| 74 |
+
sol, cnt = sat(clues)
|
| 75 |
+
if cnt == 1:
|
| 76 |
+
break
|
| 77 |
+
if tries > 400 or len(clues) > n + 2:
|
| 78 |
+
return # couldn't pin unique
|
| 79 |
+
a, b = random.sample(items, 2)
|
| 80 |
+
typ = random.choice(["lt", "lt", "adj", "abs", "last"])
|
| 81 |
+
if typ == "lt":
|
| 82 |
+
c = ("lt", a, b)
|
| 83 |
+
txt = f"{a} {random.choice(LEFT)} {b}."
|
| 84 |
+
elif typ == "adj":
|
| 85 |
+
c = ("adj", a, b)
|
| 86 |
+
txt = f"{a} {random.choice(ADJ)} {b}."
|
| 87 |
+
elif typ == "abs":
|
| 88 |
+
k = random.randint(0, n - 1)
|
| 89 |
+
c = ("abs", a, k)
|
| 90 |
+
txt = f"{a} {random.choice(ABS).format(k=k + 1, o=ORDS[k])}."
|
| 91 |
+
else:
|
| 92 |
+
c = ("last", a)
|
| 93 |
+
txt = f"{a} {random.choice(LAST_CLUE)}."
|
| 94 |
+
if c not in clues:
|
| 95 |
+
clues.append(c)
|
| 96 |
+
tries += 1
|
| 97 |
+
sol, _ = sat(clues)
|
| 98 |
+
solpos = {items[k]: sol[k] for k in range(n)}
|
| 99 |
+
clue_texts = []
|
| 100 |
+
for c in clues:
|
| 101 |
+
if c[0] == "lt": clue_texts.append(f"{c[1]} {random.choice(LEFT)} {c[2]}.")
|
| 102 |
+
elif c[0] == "adj": clue_texts.append(f"{c[1]} {random.choice(ADJ)} {c[2]}.")
|
| 103 |
+
elif c[0] == "abs": clue_texts.append(f"{c[1]} {random.choice(ABS).format(k=c[2] + 1, o=ORDS[c[2]])}.")
|
| 104 |
+
else: clue_texts.append(f"{c[1]} {random.choice(LAST_CLUE)}.")
|
| 105 |
+
st = {"setup": intro + " " + listing.replace("{}s", objtype + "s"),
|
| 106 |
+
"clues": clue_texts}
|
| 107 |
+
k = random.randint(0, n - 1)
|
| 108 |
+
truth = items[sol.index(k)]
|
| 109 |
+
crit = {chr(65 + j): it for j, it in enumerate(items)}
|
| 110 |
+
vec = [0.0] * n
|
| 111 |
+
vec[items.index(truth)] = 1.0
|
| 112 |
+
emit(st, f"Which {objtype if objtype != 'runner' else 'runner'} is in the {ORDS[k]} position?",
|
| 113 |
+
"choice", crit, vec, "gh2:order", f"gh2:ord:{i}")
|
| 114 |
+
|
| 115 |
+
|
| 116 |
+
# ---------- 2. truth-tellers and liars (web_of_lies-style) ----------
|
| 117 |
+
def gen_liar(i):
|
| 118 |
+
n = random.choice([3, 4, 4, 5])
|
| 119 |
+
people = random.sample(FIRST, n)
|
| 120 |
+
assign = {p: random.random() < 0.5 for p in people} # True = truth-teller
|
| 121 |
+
stmts = []
|
| 122 |
+
for p in people[1:]:
|
| 123 |
+
tgt = random.choice([q for q in people if q != p])
|
| 124 |
+
claim = random.random() < 0.5 # claims tgt is truthful
|
| 125 |
+
stmts.append((p, tgt, claim))
|
| 126 |
+
# verify: assignment must be the unique consistent one
|
| 127 |
+
def consistent(a):
|
| 128 |
+
for (p, t, c) in stmts:
|
| 129 |
+
said = (a[t] == c)
|
| 130 |
+
if a[p] != said:
|
| 131 |
+
return False
|
| 132 |
+
return True
|
| 133 |
+
sols = [a for a in (dict(zip(people, combo)) for combo in itertools.product([False, True], repeat=n)) if consistent(a)]
|
| 134 |
+
if len(sols) != 1 or sols[0] != assign:
|
| 135 |
+
return
|
| 136 |
+
st = {"scenario": "Each person either always tells the truth or always lies.",
|
| 137 |
+
"statements": [f"{p} says that {t} {'tells the truth' if c else 'lies'}." for p, t, c in stmts]}
|
| 138 |
+
ask = random.choice(people)
|
| 139 |
+
emit(st, f"Does {ask} tell the truth?", "noul", {},
|
| 140 |
+
float(assign[ask]), "gh2:liar", f"gh2:liar:{i}")
|
| 141 |
+
|
| 142 |
+
|
| 143 |
+
# ---------- 3. swap tracking ----------
|
| 144 |
+
def gen_swaps(i):
|
| 145 |
+
n = random.choice([4, 5])
|
| 146 |
+
items = random.sample(FIRST, n)
|
| 147 |
+
gifts = random.sample(["book", "lamp", "scarf", "clock", "vase", "mug", "plant", "radio"], n)
|
| 148 |
+
hold = dict(zip(items, gifts))
|
| 149 |
+
nsw = random.randint(3, 7)
|
| 150 |
+
log = []
|
| 151 |
+
for _ in range(nsw):
|
| 152 |
+
a, b = random.sample(items, 2)
|
| 153 |
+
log.append(f"{a} swaps with {b}.")
|
| 154 |
+
hold[a], hold[b] = hold[b], hold[a]
|
| 155 |
+
who = random.choice(items)
|
| 156 |
+
st = {"initial": {p: hold0 for p, hold0 in zip(items, gifts)},
|
| 157 |
+
"sequence": log}
|
| 158 |
+
crit = {chr(65 + j): g for j, g in enumerate(gifts)}
|
| 159 |
+
vec = [0.0] * n
|
| 160 |
+
vec[gifts.index(hold[who])] = 1.0
|
| 161 |
+
emit(st, f"After all the swaps, what does {who} have?", "choice", crit, vec,
|
| 162 |
+
"gh2:swaps", f"gh2:swp:{i}")
|
| 163 |
+
|
| 164 |
+
|
| 165 |
+
# ---------- 4. compositional multi-constraint policy ----------
|
| 166 |
+
def gen_comp_policy(i):
|
| 167 |
+
dom = random.choice(["expense report", "access request", "leave request", "vendor onboarding", "content publish"])
|
| 168 |
+
thr = random.choice([50, 75, 100, 150, 200, 250])
|
| 169 |
+
roles = ["intern", "contractor", "analyst", "senior analyst", "manager", "director"]
|
| 170 |
+
role = random.choice(roles)
|
| 171 |
+
need2 = random.random() < 0.5
|
| 172 |
+
conds = [
|
| 173 |
+
(f"amount exceeds {thr} USD", f"amount {thr + 1}+ requires finance sign-off"),
|
| 174 |
+
("requester is a contractor or intern", "contractors and interns are never auto-approved"),
|
| 175 |
+
("no receipt attached", "missing receipts block approval"),
|
| 176 |
+
("weekend submission", "weekend submissions queue until Monday"),
|
| 177 |
+
("requester is on probation", "probationary staff need HR clearance"),
|
| 178 |
+
("amount exceeds 1000 USD", "amounts over 1000 require director approval"),
|
| 179 |
+
]
|
| 180 |
+
random.shuffle(conds)
|
| 181 |
+
use = conds[:3]
|
| 182 |
+
trig = [random.random() < 0.5 for _ in use]
|
| 183 |
+
# rule: approved iff zero conditions triggered (conjunctive policy)
|
| 184 |
+
approved = not any(trig)
|
| 185 |
+
st = {"domain": dom,
|
| 186 |
+
"policy": [f"Rule {j+1}: when {c[0]}, {c[1]}." for j, c in enumerate(use)]
|
| 187 |
+
+ ["A request is auto-approved only when no blocking rule triggers."],
|
| 188 |
+
"request": {"role": role,
|
| 189 |
+
**{f"condition_{j+1}": t for j, t in enumerate(trig)},
|
| 190 |
+
"triggered_conditions": [use[j][0] for j in range(3) if trig[j]]}}
|
| 191 |
+
emit(st, "Is the request auto-approved?", "noul", {}, float(approved),
|
| 192 |
+
"gh2:comp_policy", f"gh2:cp:{i}")
|
| 193 |
+
|
| 194 |
+
|
| 195 |
+
# ---------- 5. multi-step arithmetic with step-distractors ----------
|
| 196 |
+
def gen_arith(i):
|
| 197 |
+
n1 = random.randint(8, 60)
|
| 198 |
+
n2 = random.randint(3, 30)
|
| 199 |
+
n3 = random.randint(2, 9)
|
| 200 |
+
style = i % 3
|
| 201 |
+
if style == 0:
|
| 202 |
+
total = (n1 + n2) * n3
|
| 203 |
+
st = {"problem": f"A crew packs {n1} boxes in the morning and {n2} boxes in the afternoon. "
|
| 204 |
+
f"Each box holds {n3} items. How many items are packed in total?"}
|
| 205 |
+
wrong = [n1 * n3 + n2, (n1 + n2) * (n3 - 1), n1 + n2 * n3]
|
| 206 |
+
elif style == 1:
|
| 207 |
+
price, disc, qty = n1 + 20, random.choice([5, 10, 15, 20]), n3
|
| 208 |
+
total = round((price - price * disc / 100) * qty, 2)
|
| 209 |
+
st = {"problem": f"An item costs ${price}. There is a {disc}% discount, and a customer buys {qty}. "
|
| 210 |
+
f"What is the total paid?"}
|
| 211 |
+
wrong = [round(price * qty, 2), round(price * (100 - disc) / 100, 2), round(price * qty * (100 - disc) / 100, 2)]
|
| 212 |
+
total = wrong[2]
|
| 213 |
+
wrong = wrong[:2] + [round(price * qty - disc, 2)]
|
| 214 |
+
else:
|
| 215 |
+
speed, t1, t2 = random.choice([40, 50, 60, 70]), n2, random.randint(1, 6)
|
| 216 |
+
total = speed * (t1 + t2) / 60.0
|
| 217 |
+
st = {"problem": f"A vehicle travels at {speed} km/h for {t1} minutes, then for {t2} more minutes at the same speed. "
|
| 218 |
+
f"How many kilometres does it cover?"}
|
| 219 |
+
wrong = [round(speed * t1 / 60, 2), round(speed * (t1 + t2), 2), round(speed * t2 / 60, 2)]
|
| 220 |
+
opts = [total] + wrong[:3]
|
| 221 |
+
opts = list(dict.fromkeys(opts))[:4]
|
| 222 |
+
while len(opts) < 4:
|
| 223 |
+
opts.append(round(total * random.uniform(0.5, 1.5), 2))
|
| 224 |
+
random.shuffle(opts)
|
| 225 |
+
crit = {chr(65 + j): (f"{o:g}" if isinstance(o, float) else str(o)) for j, o in enumerate(opts)}
|
| 226 |
+
vec = [0.0] * len(opts)
|
| 227 |
+
vec[opts.index(total)] = 1.0
|
| 228 |
+
emit(st, "What is the correct answer?", "choice", crit, vec, "gh2:arith", f"gh2:ar:{i}")
|
| 229 |
+
|
| 230 |
+
|
| 231 |
+
# ---------- 6. temporal compositional ----------
|
| 232 |
+
def gen_temporal2(i):
|
| 233 |
+
base = date(2026, random.randint(1, 12), random.randint(1, 25))
|
| 234 |
+
sub = i % 3
|
| 235 |
+
if sub == 0: # business days
|
| 236 |
+
nbd = random.randint(3, 15)
|
| 237 |
+
d = base
|
| 238 |
+
cnt = 0
|
| 239 |
+
while cnt < nbd:
|
| 240 |
+
d += timedelta(days=1)
|
| 241 |
+
if d.weekday() < 5:
|
| 242 |
+
cnt += 1
|
| 243 |
+
st = {"policy": f"Responses are due within {nbd} business days (Mon-Fri) of submission.",
|
| 244 |
+
"submitted": base.isoformat(),
|
| 245 |
+
"response_sent": (base + timedelta(days=nbd + random.randint(-3, 3))).isoformat()}
|
| 246 |
+
resp = date.fromisoformat(st["response_sent"])
|
| 247 |
+
due = d
|
| 248 |
+
emit(st, "Was the response sent by the deadline?", "noul", {},
|
| 249 |
+
float(resp <= due), "gh2:temp_biz", f"gh2:tb:{i}")
|
| 250 |
+
elif sub == 1: # multi-constraint scheduling
|
| 251 |
+
a_len = random.choice([30, 45, 60, 90])
|
| 252 |
+
b_len = random.choice([30, 45, 60])
|
| 253 |
+
gap = random.choice([0, 15, 30])
|
| 254 |
+
start = random.randint(8, 16)
|
| 255 |
+
end_avail = random.randint(17, 20)
|
| 256 |
+
total_min = a_len + gap + b_len
|
| 257 |
+
feasible = start * 60 + total_min <= end_avail * 60
|
| 258 |
+
st = {"meeting_a_minutes": a_len, "break_minutes": gap, "meeting_b_minutes": b_len,
|
| 259 |
+
"earliest_start": f"{start:02d}:00", "hard_end": f"{end_avail:02d}:00"}
|
| 260 |
+
emit(st, "Can both meetings plus the break fit between the earliest start and the hard end?",
|
| 261 |
+
"noul", {}, float(feasible), "gh2:temp_sched", f"gh2:ts:{i}")
|
| 262 |
+
else: # interval overlap
|
| 263 |
+
s1, s2 = random.randint(8, 18), random.randint(8, 18)
|
| 264 |
+
l1, l2 = random.choice([1, 2, 3]), random.choice([1, 2, 3])
|
| 265 |
+
overlap = s1 < s2 + l2 and s2 < s1 + l1
|
| 266 |
+
st = {"booking_a": {"start_hour": s1, "duration_hours": l1},
|
| 267 |
+
"booking_b": {"start_hour": s2, "duration_hours": l2}}
|
| 268 |
+
emit(st, "Do the two bookings overlap?", "noul", {}, float(overlap),
|
| 269 |
+
"gh2:temp_overlap", f"gh2:to:{i}")
|
| 270 |
+
|
| 271 |
+
|
| 272 |
+
GENS = [(gen_order, 8000), (gen_liar, 5000), (gen_swaps, 5000),
|
| 273 |
+
(gen_comp_policy, 6000), (gen_arith, 6000), (gen_temporal2, 6000)]
|
| 274 |
+
for fn, cnt in GENS:
|
| 275 |
+
made = 0
|
| 276 |
+
i = 0
|
| 277 |
+
while made < cnt and i < cnt * 3:
|
| 278 |
+
before = len(ROWS)
|
| 279 |
+
fn(i)
|
| 280 |
+
if len(ROWS) > before:
|
| 281 |
+
made += 1
|
| 282 |
+
i += 1
|
| 283 |
+
print(fn.__name__, "->", made)
|
| 284 |
+
|
| 285 |
+
fps, rows = set(), []
|
| 286 |
+
for r in ROWS:
|
| 287 |
+
fp = hashlib.sha256((json.dumps(r["state"], sort_keys=True) +
|
| 288 |
+
json.dumps(r["questions"], sort_keys=True)).encode()).hexdigest()
|
| 289 |
+
if fp in fps:
|
| 290 |
+
continue
|
| 291 |
+
fps.add(fp)
|
| 292 |
+
rows.append(r)
|
| 293 |
+
random.shuffle(rows)
|
| 294 |
+
dev = [r for r in rows if hashlib.md5(r["group_id"].encode()).hexdigest()[0] == "0"]
|
| 295 |
+
train = [r for r in rows if hashlib.md5(r["group_id"].encode()).hexdigest()[0] != "0"]
|
| 296 |
+
tgg = {r["group_id"] for r in train}
|
| 297 |
+
dev = [r for r in dev if r["group_id"] not in tgg]
|
| 298 |
+
open(D + "gh2_train.jsonl", "w").write("".join(json.dumps(r, ensure_ascii=False) + "\n" for r in train))
|
| 299 |
+
open(D + "gh2_dev.jsonl", "w").write("".join(json.dumps(r, ensure_ascii=False) + "\n" for r in dev))
|
| 300 |
+
print("train", len(train), "dev", len(dev), "dupes_removed", len(ROWS) - len(rows))
|