Update question_fallback_router.py
Browse files- question_fallback_router.py +224 -153
question_fallback_router.py
CHANGED
|
@@ -7,6 +7,16 @@ from question_support_loader import question_support_bank
|
|
| 7 |
|
| 8 |
|
| 9 |
class QuestionFallbackRouter:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 10 |
def _clean(self, text: Optional[str]) -> str:
|
| 11 |
return (text or "").strip()
|
| 12 |
|
|
@@ -39,8 +49,6 @@ class QuestionFallbackRouter:
|
|
| 39 |
|
| 40 |
if t and t not in {"general", "unknown", "general_quant", "quant"}:
|
| 41 |
return t
|
| 42 |
-
if t == "quant":
|
| 43 |
-
t = ""
|
| 44 |
if "%" in q or "percent" in q:
|
| 45 |
return "percent"
|
| 46 |
if "ratio" in q or re.search(r"\b\d+\s*:\s*\d+\b", q):
|
|
@@ -74,9 +82,7 @@ class QuestionFallbackRouter:
|
|
| 74 |
def _extract_ratio(self, question_text: str) -> Optional[str]:
|
| 75 |
text = self._clean(question_text)
|
| 76 |
m = re.search(r"\b(\d+\s*:\s*\d+)\b", text)
|
| 77 |
-
if m
|
| 78 |
-
return self._clean(m.group(1))
|
| 79 |
-
return None
|
| 80 |
|
| 81 |
def _extract_percent_values(self, question_text: str) -> List[str]:
|
| 82 |
return re.findall(r"\d+\.?\d*\s*%", question_text or "")
|
|
@@ -90,34 +96,6 @@ class QuestionFallbackRouter:
|
|
| 90 |
and re.search(r"\d+[a-z]\b|\b[a-z]\b", q)
|
| 91 |
)
|
| 92 |
|
| 93 |
-
def _pack_looks_generic(self, pack: Dict[str, Any], topic: str) -> bool:
|
| 94 |
-
if not pack:
|
| 95 |
-
return True
|
| 96 |
-
joined = " ".join(
|
| 97 |
-
[
|
| 98 |
-
self._clean(pack.get("first_step")),
|
| 99 |
-
self._clean(pack.get("hint_1")),
|
| 100 |
-
self._clean(pack.get("hint_2")),
|
| 101 |
-
self._clean(pack.get("hint_3")),
|
| 102 |
-
" ".join(self._listify(pack.get("walkthrough_steps"))),
|
| 103 |
-
" ".join(self._listify(pack.get("method_explanation"))),
|
| 104 |
-
]
|
| 105 |
-
).lower()
|
| 106 |
-
generic_signals = [
|
| 107 |
-
"write the equation clearly and identify the variable",
|
| 108 |
-
"undo operations in reverse order",
|
| 109 |
-
"keep both sides balanced",
|
| 110 |
-
"break the question into known and unknown parts",
|
| 111 |
-
"what is being asked?",
|
| 112 |
-
"what information is given?",
|
| 113 |
-
"translate words into math",
|
| 114 |
-
]
|
| 115 |
-
if any(signal in joined for signal in generic_signals):
|
| 116 |
-
return True
|
| 117 |
-
if topic == "algebra" and "look at the structure" in joined:
|
| 118 |
-
return True
|
| 119 |
-
return False
|
| 120 |
-
|
| 121 |
def _topic_defaults(self, topic: str, question_text: str, options_text: Optional[List[str]]) -> Dict[str, Any]:
|
| 122 |
preview = self._preview_question(question_text)
|
| 123 |
equation = self._extract_equation(question_text)
|
|
@@ -125,23 +103,20 @@ class QuestionFallbackRouter:
|
|
| 125 |
percent_values = self._extract_percent_values(question_text)
|
| 126 |
has_options = bool(options_text)
|
| 127 |
|
| 128 |
-
|
| 129 |
"first_step": f"Focus on what the question is really asking in: {preview}",
|
| 130 |
-
"hint_1": "Identify the exact quantity you need to find.",
|
| 131 |
-
"hint_2": "Translate the key relationship in the question into a usable setup.",
|
| 132 |
-
"hint_3": "Check each step against the wording before choosing an option.",
|
| 133 |
"hint_ladder": [
|
| 134 |
"Identify the exact quantity you need to find.",
|
| 135 |
-
"Translate the key relationship
|
| 136 |
-
"Check
|
| 137 |
],
|
| 138 |
"walkthrough_steps": [
|
| 139 |
"Underline what is given and what must be found.",
|
| 140 |
"Set up the relationship before you calculate.",
|
| 141 |
-
"Work step by step and keep
|
| 142 |
],
|
| 143 |
"method_steps": [
|
| 144 |
-
"Start from the structure of the problem rather than jumping into arithmetic.",
|
| 145 |
"Use the wording to decide which relationship matters most.",
|
| 146 |
],
|
| 147 |
"answer_path": [
|
|
@@ -153,12 +128,9 @@ class QuestionFallbackRouter:
|
|
| 153 |
|
| 154 |
if topic == "algebra":
|
| 155 |
if self._looks_like_linear_equation(question_text):
|
| 156 |
-
|
| 157 |
{
|
| 158 |
"first_step": "Look at the variable side and identify the outermost operation attached to the variable.",
|
| 159 |
-
"hint_1": "Undo the outside addition or subtraction on both sides before touching the coefficient.",
|
| 160 |
-
"hint_2": "Once only the variable term remains, undo the multiplication or division.",
|
| 161 |
-
"hint_3": "After isolating the variable, compare carefully with what the question actually asks for.",
|
| 162 |
"hint_ladder": [
|
| 163 |
"Look at the variable side and identify the outermost operation attached to the variable.",
|
| 164 |
"Undo the outside addition or subtraction on both sides before touching the coefficient.",
|
|
@@ -183,40 +155,35 @@ class QuestionFallbackRouter:
|
|
| 183 |
}
|
| 184 |
)
|
| 185 |
elif equation:
|
| 186 |
-
|
| 187 |
{
|
| 188 |
"first_step": f"Start from the equation {equation} and decide which operation should be reversed first.",
|
| 189 |
-
"
|
| 190 |
-
|
| 191 |
-
|
|
|
|
|
|
|
| 192 |
}
|
| 193 |
)
|
| 194 |
-
|
| 195 |
elif topic == "percent":
|
| 196 |
first_step = "Identify the base quantity before doing any percent calculation."
|
| 197 |
if percent_values:
|
| 198 |
first_step = f"Track the percentage relationship carefully here: {' then '.join(percent_values[:2]) if len(percent_values) > 1 else percent_values[0]}"
|
| 199 |
if "increased by" in question_text.lower() and "decreased by" in question_text.lower():
|
| 200 |
-
|
| 201 |
{
|
| 202 |
"first_step": "Turn each percentage change into its own multiplier before combining anything.",
|
| 203 |
-
"hint_1": "An increase and a decrease of the same percent do not cancel because they apply to different bases.",
|
| 204 |
-
"hint_2": "Apply the first multiplier, then apply the second multiplier to the updated amount.",
|
| 205 |
-
"hint_3": "Compare the final amount with the original amount only at the end.",
|
| 206 |
"hint_ladder": [
|
| 207 |
-
"
|
| 208 |
"Apply the first multiplier, then apply the second multiplier to the updated amount.",
|
| 209 |
"Compare the final amount with the original amount only at the end.",
|
| 210 |
],
|
| 211 |
}
|
| 212 |
)
|
| 213 |
else:
|
| 214 |
-
|
| 215 |
{
|
| 216 |
"first_step": first_step,
|
| 217 |
-
"hint_1": "Ask 'percent of what?' so you choose the correct base quantity.",
|
| 218 |
-
"hint_2": "Rewrite the percent as a decimal or fraction if that makes the relationship clearer.",
|
| 219 |
-
"hint_3": "Set up part = percent × base, or reverse that relationship if the base is unknown.",
|
| 220 |
"hint_ladder": [
|
| 221 |
"Ask 'percent of what?' so you choose the correct base quantity.",
|
| 222 |
"Rewrite the percent as a decimal or fraction if that makes the relationship clearer.",
|
|
@@ -224,17 +191,13 @@ class QuestionFallbackRouter:
|
|
| 224 |
],
|
| 225 |
}
|
| 226 |
)
|
| 227 |
-
|
| 228 |
elif topic == "ratio":
|
| 229 |
first_step = "Keep the ratio order consistent and assign one shared multiplier."
|
| 230 |
if ratio_text:
|
| 231 |
first_step = f"Use the ratio {ratio_text} as parts of one whole."
|
| 232 |
-
|
| 233 |
{
|
| 234 |
"first_step": first_step,
|
| 235 |
-
"hint_1": "Write each part of the ratio using the same multiplier.",
|
| 236 |
-
"hint_2": "Use the total or known part to solve for that shared multiplier.",
|
| 237 |
-
"hint_3": "Substitute back into the exact quantity the question asks for.",
|
| 238 |
"hint_ladder": [
|
| 239 |
"Write each part of the ratio using the same multiplier.",
|
| 240 |
"Use the total or known part to solve for that shared multiplier.",
|
|
@@ -253,19 +216,22 @@ class QuestionFallbackRouter:
|
|
| 253 |
"common_trap": "Using the raw ratio numbers as real values before solving for the common multiplier.",
|
| 254 |
}
|
| 255 |
)
|
| 256 |
-
|
| 257 |
elif topic == "probability":
|
| 258 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 259 |
{
|
| 260 |
"first_step": "Decide what counts as a successful outcome before you count anything.",
|
| 261 |
-
"
|
| 262 |
-
"hint_2": "Count the total possible outcomes in the sample space.",
|
| 263 |
-
"hint_3": "Build the probability as favorable over total, then simplify if needed.",
|
| 264 |
-
"hint_ladder": [
|
| 265 |
-
"Decide what counts as a successful outcome before you count anything.",
|
| 266 |
-
"Count the favorable outcomes that satisfy the condition.",
|
| 267 |
-
"Count the total possible outcomes in the sample space.",
|
| 268 |
-
],
|
| 269 |
"walkthrough_steps": [
|
| 270 |
"Define the event the question cares about.",
|
| 271 |
"Count or construct the favorable cases.",
|
|
@@ -279,23 +245,12 @@ class QuestionFallbackRouter:
|
|
| 279 |
"common_trap": "Changing the denominator incorrectly or forgetting which cases are actually favorable.",
|
| 280 |
}
|
| 281 |
)
|
| 282 |
-
if "at least" in question_text.lower():
|
| 283 |
-
generic["hint_2"] = "Check whether the complement is easier to count than the requested event."
|
| 284 |
-
generic["hint_ladder"] = [
|
| 285 |
-
generic["hint_1"],
|
| 286 |
-
"Check whether the complement is easier to count than the requested event.",
|
| 287 |
-
generic["hint_3"],
|
| 288 |
-
]
|
| 289 |
-
|
| 290 |
elif topic == "statistics":
|
| 291 |
qlow = question_text.lower()
|
| 292 |
if any(k in qlow for k in ["variability", "spread", "standard deviation"]):
|
| 293 |
-
|
| 294 |
{
|
| 295 |
"first_step": "Notice that this is about spread, not average.",
|
| 296 |
-
"hint_1": "Use the middle value as a centre and compare how far the outer values sit from it.",
|
| 297 |
-
"hint_2": "A set with values clustered tightly has lower variability than a set spread farther apart.",
|
| 298 |
-
"hint_3": "Choose the set with the widest spread, not the largest mean.",
|
| 299 |
"hint_ladder": [
|
| 300 |
"Notice that this is about spread, not average.",
|
| 301 |
"Use the middle value as a centre and compare how far the outer values sit from it.",
|
|
@@ -304,52 +259,153 @@ class QuestionFallbackRouter:
|
|
| 304 |
}
|
| 305 |
)
|
| 306 |
else:
|
| 307 |
-
|
| 308 |
{
|
| 309 |
"first_step": "Identify which statistical measure the question wants before calculating anything.",
|
| 310 |
-
"
|
| 311 |
-
|
| 312 |
-
|
|
|
|
|
|
|
| 313 |
}
|
| 314 |
)
|
| 315 |
|
| 316 |
if has_options:
|
| 317 |
-
|
| 318 |
-
"Use the answer choices to
|
| 319 |
]
|
| 320 |
|
| 321 |
-
return
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 322 |
|
| 323 |
def _merge_support_pack(self, generated: Dict[str, Any], stored: Optional[Dict[str, Any]], topic: str) -> Dict[str, Any]:
|
| 324 |
if not stored:
|
| 325 |
-
|
| 326 |
-
|
| 327 |
-
|
| 328 |
-
|
| 329 |
-
|
| 330 |
-
|
| 331 |
-
|
| 332 |
-
|
| 333 |
-
|
| 334 |
-
|
| 335 |
-
|
| 336 |
-
|
| 337 |
-
|
| 338 |
-
|
| 339 |
-
|
| 340 |
-
|
| 341 |
-
|
| 342 |
-
|
| 343 |
-
|
| 344 |
-
|
| 345 |
-
|
| 346 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 347 |
else:
|
| 348 |
-
|
|
|
|
| 349 |
|
| 350 |
-
|
| 351 |
-
merged.setdefault("answer_path", generated.get("answer_path", []))
|
| 352 |
-
return merged
|
| 353 |
|
| 354 |
def get_support_pack(
|
| 355 |
self,
|
|
@@ -378,45 +434,60 @@ class QuestionFallbackRouter:
|
|
| 378 |
pack.setdefault("category", category or "General")
|
| 379 |
return pack
|
| 380 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 381 |
def _hint_ladder_from_pack(self, pack: Dict[str, Any]) -> List[str]:
|
| 382 |
hints: List[str] = []
|
| 383 |
-
|
| 384 |
-
|
| 385 |
-
|
| 386 |
-
|
| 387 |
-
|
| 388 |
-
|
| 389 |
-
|
| 390 |
-
|
| 391 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
| 392 |
return self._dedupe(hints)
|
| 393 |
|
| 394 |
def _walkthrough_from_pack(self, pack: Dict[str, Any]) -> List[str]:
|
| 395 |
-
lines
|
| 396 |
-
|
| 397 |
-
|
| 398 |
-
|
| 399 |
-
|
| 400 |
-
return self._dedupe(
|
| 401 |
|
| 402 |
def _method_from_pack(self, pack: Dict[str, Any]) -> List[str]:
|
| 403 |
lines: List[str] = []
|
| 404 |
-
concept = self._clean(
|
| 405 |
if concept:
|
| 406 |
lines.append(concept)
|
| 407 |
-
lines.extend(self._listify(
|
| 408 |
-
lines.extend(self._listify(
|
| 409 |
-
if
|
| 410 |
-
|
| 411 |
-
return self.
|
| 412 |
|
| 413 |
def _answer_path_from_pack(self, pack: Dict[str, Any]) -> List[str]:
|
| 414 |
-
lines
|
| 415 |
-
|
| 416 |
-
|
| 417 |
-
|
| 418 |
-
|
| 419 |
-
return self._dedupe(
|
| 420 |
|
| 421 |
def _verbosity_limit(self, verbosity: float, low: int, mid: int, high: int) -> int:
|
| 422 |
if verbosity < 0.25:
|
|
@@ -446,14 +517,14 @@ class QuestionFallbackRouter:
|
|
| 446 |
)
|
| 447 |
|
| 448 |
mode = (help_mode or "answer").lower()
|
| 449 |
-
stage = max(1, min(int(hint_stage or 1),
|
| 450 |
|
| 451 |
-
first_step = self._clean(
|
| 452 |
hint_ladder = self._hint_ladder_from_pack(pack)
|
| 453 |
walkthrough_steps = self._walkthrough_from_pack(pack)
|
| 454 |
method_steps = self._method_from_pack(pack)
|
| 455 |
answer_path = self._answer_path_from_pack(pack)
|
| 456 |
-
common_trap = self._clean(
|
| 457 |
|
| 458 |
lines: List[str] = []
|
| 459 |
|
|
@@ -465,7 +536,7 @@ class QuestionFallbackRouter:
|
|
| 465 |
selected.append(hint_ladder[idx + 1])
|
| 466 |
else:
|
| 467 |
selected = [first_step or "Start by identifying the structure of the question."]
|
| 468 |
-
if verbosity >= 0.
|
| 469 |
selected.append(f"Watch out for this trap: {common_trap}")
|
| 470 |
lines = self._dedupe(selected)
|
| 471 |
|
|
@@ -473,20 +544,20 @@ class QuestionFallbackRouter:
|
|
| 473 |
source = walkthrough_steps or answer_path or hint_ladder
|
| 474 |
limit = self._verbosity_limit(verbosity, low=2, mid=4, high=6)
|
| 475 |
lines = source[:limit] if source else [first_step or "Start by setting up the problem."]
|
| 476 |
-
if verbosity >= 0.
|
| 477 |
lines = list(lines) + [f"Watch out for this trap: {common_trap}"]
|
| 478 |
|
| 479 |
elif mode in {"method", "explain", "concept", "definition"}:
|
| 480 |
source = method_steps or walkthrough_steps or answer_path or hint_ladder
|
| 481 |
limit = self._verbosity_limit(verbosity, low=1, mid=2, high=4)
|
| 482 |
lines = source[:limit] if source else [first_step or "Start from the problem structure."]
|
| 483 |
-
if verbosity >= 0.
|
| 484 |
lines = list(lines) + [f"Common trap: {common_trap}"]
|
| 485 |
|
| 486 |
else:
|
| 487 |
source = answer_path or walkthrough_steps or hint_ladder
|
| 488 |
limit = self._verbosity_limit(verbosity, low=2, mid=3, high=5)
|
| 489 |
-
lines = source[:limit] if source else [first_step or "Start by identifying the relationship in the question."]
|
| 490 |
|
| 491 |
lines = self._dedupe(lines)
|
| 492 |
return {"lines": lines, "pack": pack}
|
|
|
|
| 7 |
|
| 8 |
|
| 9 |
class QuestionFallbackRouter:
|
| 10 |
+
"""
|
| 11 |
+
Authoritative support-bank router.
|
| 12 |
+
|
| 13 |
+
Design goals:
|
| 14 |
+
- authored question support should beat generic topic help whenever a match exists
|
| 15 |
+
- generated topic defaults should only fill real gaps
|
| 16 |
+
- hint/walkthrough/method/answer ladders should prefer authored sequences as-is
|
| 17 |
+
- generic "first step" text should not pollute an authored hint ladder
|
| 18 |
+
"""
|
| 19 |
+
|
| 20 |
def _clean(self, text: Optional[str]) -> str:
|
| 21 |
return (text or "").strip()
|
| 22 |
|
|
|
|
| 49 |
|
| 50 |
if t and t not in {"general", "unknown", "general_quant", "quant"}:
|
| 51 |
return t
|
|
|
|
|
|
|
| 52 |
if "%" in q or "percent" in q:
|
| 53 |
return "percent"
|
| 54 |
if "ratio" in q or re.search(r"\b\d+\s*:\s*\d+\b", q):
|
|
|
|
| 82 |
def _extract_ratio(self, question_text: str) -> Optional[str]:
|
| 83 |
text = self._clean(question_text)
|
| 84 |
m = re.search(r"\b(\d+\s*:\s*\d+)\b", text)
|
| 85 |
+
return self._clean(m.group(1)) if m else None
|
|
|
|
|
|
|
| 86 |
|
| 87 |
def _extract_percent_values(self, question_text: str) -> List[str]:
|
| 88 |
return re.findall(r"\d+\.?\d*\s*%", question_text or "")
|
|
|
|
| 96 |
and re.search(r"\d+[a-z]\b|\b[a-z]\b", q)
|
| 97 |
)
|
| 98 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 99 |
def _topic_defaults(self, topic: str, question_text: str, options_text: Optional[List[str]]) -> Dict[str, Any]:
|
| 100 |
preview = self._preview_question(question_text)
|
| 101 |
equation = self._extract_equation(question_text)
|
|
|
|
| 103 |
percent_values = self._extract_percent_values(question_text)
|
| 104 |
has_options = bool(options_text)
|
| 105 |
|
| 106 |
+
pack: Dict[str, Any] = {
|
| 107 |
"first_step": f"Focus on what the question is really asking in: {preview}",
|
|
|
|
|
|
|
|
|
|
| 108 |
"hint_ladder": [
|
| 109 |
"Identify the exact quantity you need to find.",
|
| 110 |
+
"Translate the key relationship into a usable setup.",
|
| 111 |
+
"Check that your setup matches the wording before choosing an option.",
|
| 112 |
],
|
| 113 |
"walkthrough_steps": [
|
| 114 |
"Underline what is given and what must be found.",
|
| 115 |
"Set up the relationship before you calculate.",
|
| 116 |
+
"Work step by step and keep units or labels consistent.",
|
| 117 |
],
|
| 118 |
"method_steps": [
|
| 119 |
+
"Start from the structure of the problem rather than jumping straight into arithmetic.",
|
| 120 |
"Use the wording to decide which relationship matters most.",
|
| 121 |
],
|
| 122 |
"answer_path": [
|
|
|
|
| 128 |
|
| 129 |
if topic == "algebra":
|
| 130 |
if self._looks_like_linear_equation(question_text):
|
| 131 |
+
pack.update(
|
| 132 |
{
|
| 133 |
"first_step": "Look at the variable side and identify the outermost operation attached to the variable.",
|
|
|
|
|
|
|
|
|
|
| 134 |
"hint_ladder": [
|
| 135 |
"Look at the variable side and identify the outermost operation attached to the variable.",
|
| 136 |
"Undo the outside addition or subtraction on both sides before touching the coefficient.",
|
|
|
|
| 155 |
}
|
| 156 |
)
|
| 157 |
elif equation:
|
| 158 |
+
pack.update(
|
| 159 |
{
|
| 160 |
"first_step": f"Start from the equation {equation} and decide which operation should be reversed first.",
|
| 161 |
+
"hint_ladder": [
|
| 162 |
+
"Preserve balance by doing the same operation to both sides.",
|
| 163 |
+
"Reverse the operations in a sensible order instead of trying to simplify everything at once.",
|
| 164 |
+
"Only evaluate the target expression after the variables are in a usable form.",
|
| 165 |
+
],
|
| 166 |
}
|
| 167 |
)
|
|
|
|
| 168 |
elif topic == "percent":
|
| 169 |
first_step = "Identify the base quantity before doing any percent calculation."
|
| 170 |
if percent_values:
|
| 171 |
first_step = f"Track the percentage relationship carefully here: {' then '.join(percent_values[:2]) if len(percent_values) > 1 else percent_values[0]}"
|
| 172 |
if "increased by" in question_text.lower() and "decreased by" in question_text.lower():
|
| 173 |
+
pack.update(
|
| 174 |
{
|
| 175 |
"first_step": "Turn each percentage change into its own multiplier before combining anything.",
|
|
|
|
|
|
|
|
|
|
| 176 |
"hint_ladder": [
|
| 177 |
+
"An increase and a decrease of the same percent do not cancel because they apply to different bases.",
|
| 178 |
"Apply the first multiplier, then apply the second multiplier to the updated amount.",
|
| 179 |
"Compare the final amount with the original amount only at the end.",
|
| 180 |
],
|
| 181 |
}
|
| 182 |
)
|
| 183 |
else:
|
| 184 |
+
pack.update(
|
| 185 |
{
|
| 186 |
"first_step": first_step,
|
|
|
|
|
|
|
|
|
|
| 187 |
"hint_ladder": [
|
| 188 |
"Ask 'percent of what?' so you choose the correct base quantity.",
|
| 189 |
"Rewrite the percent as a decimal or fraction if that makes the relationship clearer.",
|
|
|
|
| 191 |
],
|
| 192 |
}
|
| 193 |
)
|
|
|
|
| 194 |
elif topic == "ratio":
|
| 195 |
first_step = "Keep the ratio order consistent and assign one shared multiplier."
|
| 196 |
if ratio_text:
|
| 197 |
first_step = f"Use the ratio {ratio_text} as parts of one whole."
|
| 198 |
+
pack.update(
|
| 199 |
{
|
| 200 |
"first_step": first_step,
|
|
|
|
|
|
|
|
|
|
| 201 |
"hint_ladder": [
|
| 202 |
"Write each part of the ratio using the same multiplier.",
|
| 203 |
"Use the total or known part to solve for that shared multiplier.",
|
|
|
|
| 216 |
"common_trap": "Using the raw ratio numbers as real values before solving for the common multiplier.",
|
| 217 |
}
|
| 218 |
)
|
|
|
|
| 219 |
elif topic == "probability":
|
| 220 |
+
hint_ladder = [
|
| 221 |
+
"Decide what counts as a successful outcome before you count anything.",
|
| 222 |
+
"Count the favorable outcomes that satisfy the condition.",
|
| 223 |
+
"Count the total possible outcomes in the sample space.",
|
| 224 |
+
]
|
| 225 |
+
if "at least" in question_text.lower():
|
| 226 |
+
hint_ladder = [
|
| 227 |
+
"Decide what counts as a successful outcome before you count anything.",
|
| 228 |
+
"Check whether the complement is easier to count than the requested event.",
|
| 229 |
+
"Build the probability as favorable over total, then simplify if needed.",
|
| 230 |
+
]
|
| 231 |
+
pack.update(
|
| 232 |
{
|
| 233 |
"first_step": "Decide what counts as a successful outcome before you count anything.",
|
| 234 |
+
"hint_ladder": hint_ladder,
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 235 |
"walkthrough_steps": [
|
| 236 |
"Define the event the question cares about.",
|
| 237 |
"Count or construct the favorable cases.",
|
|
|
|
| 245 |
"common_trap": "Changing the denominator incorrectly or forgetting which cases are actually favorable.",
|
| 246 |
}
|
| 247 |
)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 248 |
elif topic == "statistics":
|
| 249 |
qlow = question_text.lower()
|
| 250 |
if any(k in qlow for k in ["variability", "spread", "standard deviation"]):
|
| 251 |
+
pack.update(
|
| 252 |
{
|
| 253 |
"first_step": "Notice that this is about spread, not average.",
|
|
|
|
|
|
|
|
|
|
| 254 |
"hint_ladder": [
|
| 255 |
"Notice that this is about spread, not average.",
|
| 256 |
"Use the middle value as a centre and compare how far the outer values sit from it.",
|
|
|
|
| 259 |
}
|
| 260 |
)
|
| 261 |
else:
|
| 262 |
+
pack.update(
|
| 263 |
{
|
| 264 |
"first_step": "Identify which statistical measure the question wants before calculating anything.",
|
| 265 |
+
"hint_ladder": [
|
| 266 |
+
"Check whether the task is asking for mean, median, range, or another measure.",
|
| 267 |
+
"Organise the data in a clean order if that helps reveal the measure.",
|
| 268 |
+
"Use the exact definition of the requested measure rather than a nearby one.",
|
| 269 |
+
],
|
| 270 |
}
|
| 271 |
)
|
| 272 |
|
| 273 |
if has_options:
|
| 274 |
+
pack["answer_path"] = list(pack.get("answer_path", [])) + [
|
| 275 |
+
"Use the answer choices to test which setup actually matches the question."
|
| 276 |
]
|
| 277 |
|
| 278 |
+
return pack
|
| 279 |
+
|
| 280 |
+
def _pack_looks_generic(self, pack: Dict[str, Any], topic: str) -> bool:
|
| 281 |
+
if not pack:
|
| 282 |
+
return True
|
| 283 |
+
joined = " ".join(
|
| 284 |
+
[
|
| 285 |
+
self._clean(pack.get("first_step")),
|
| 286 |
+
" ".join(self._listify(pack.get("hint_ladder"))),
|
| 287 |
+
" ".join(self._listify(pack.get("walkthrough_steps"))),
|
| 288 |
+
" ".join(self._listify(pack.get("method_steps"))),
|
| 289 |
+
" ".join(self._listify(pack.get("method_explanation"))),
|
| 290 |
+
" ".join(self._listify(pack.get("answer_path"))),
|
| 291 |
+
]
|
| 292 |
+
).lower()
|
| 293 |
+
generic_signals = [
|
| 294 |
+
"identify the exact quantity you need to find",
|
| 295 |
+
"translate the key relationship",
|
| 296 |
+
"set up the relationship before you calculate",
|
| 297 |
+
"work step by step",
|
| 298 |
+
"use the wording to decide",
|
| 299 |
+
"start from the structure",
|
| 300 |
+
"focus on what the question is really asking",
|
| 301 |
+
"underline what is given and what must be found",
|
| 302 |
+
]
|
| 303 |
+
if any(signal in joined for signal in generic_signals):
|
| 304 |
+
return True
|
| 305 |
+
if topic == "algebra" and "look at the variable side" not in joined and "equation" in joined and "both sides" in joined:
|
| 306 |
+
return True
|
| 307 |
+
return False
|
| 308 |
+
|
| 309 |
+
def _extract_authored_pack(self, stored: Dict[str, Any]) -> Dict[str, Any]:
|
| 310 |
+
if not stored:
|
| 311 |
+
return {}
|
| 312 |
+
pack: Dict[str, Any] = {}
|
| 313 |
+
text_fields = [
|
| 314 |
+
"first_step",
|
| 315 |
+
"concept",
|
| 316 |
+
"common_trap",
|
| 317 |
+
"stem",
|
| 318 |
+
"question_text",
|
| 319 |
+
"topic",
|
| 320 |
+
"category",
|
| 321 |
+
]
|
| 322 |
+
list_fields = [
|
| 323 |
+
"hint_ladder",
|
| 324 |
+
"hints",
|
| 325 |
+
"walkthrough_steps",
|
| 326 |
+
"method_steps",
|
| 327 |
+
"method_explanation",
|
| 328 |
+
"answer_path",
|
| 329 |
+
"choices",
|
| 330 |
+
"options_text",
|
| 331 |
+
]
|
| 332 |
+
for key in text_fields:
|
| 333 |
+
value = self._clean(stored.get(key))
|
| 334 |
+
if value:
|
| 335 |
+
pack[key] = value
|
| 336 |
+
for key in list_fields:
|
| 337 |
+
values = self._dedupe(self._listify(stored.get(key)))
|
| 338 |
+
if values:
|
| 339 |
+
pack[key] = values
|
| 340 |
+
for key in ("hint_1", "hint_2", "hint_3"):
|
| 341 |
+
value = self._clean(stored.get(key))
|
| 342 |
+
if value:
|
| 343 |
+
pack[key] = value
|
| 344 |
+
if "support_match" in stored:
|
| 345 |
+
pack["support_match"] = dict(stored["support_match"])
|
| 346 |
+
return pack
|
| 347 |
+
|
| 348 |
+
def _confidence_rank(self, confidence: str) -> int:
|
| 349 |
+
mapping = {"exact": 4, "high": 3, "medium": 2, "low": 1}
|
| 350 |
+
return mapping.get((confidence or "").lower(), 0)
|
| 351 |
|
| 352 |
def _merge_support_pack(self, generated: Dict[str, Any], stored: Optional[Dict[str, Any]], topic: str) -> Dict[str, Any]:
|
| 353 |
if not stored:
|
| 354 |
+
pack = dict(generated)
|
| 355 |
+
pack["support_source"] = "generated_question_specific"
|
| 356 |
+
pack["support_priority"] = 10
|
| 357 |
+
pack["has_authored_support"] = False
|
| 358 |
+
pack["_generated"] = dict(generated)
|
| 359 |
+
return pack
|
| 360 |
+
|
| 361 |
+
authored = self._extract_authored_pack(stored)
|
| 362 |
+
support_match = dict(authored.get("support_match") or {})
|
| 363 |
+
confidence = str(support_match.get("confidence") or "").lower()
|
| 364 |
+
authored_generic = self._pack_looks_generic(authored, topic)
|
| 365 |
+
|
| 366 |
+
pack = dict(authored)
|
| 367 |
+
pack["_generated"] = dict(generated)
|
| 368 |
+
pack["has_authored_support"] = True
|
| 369 |
+
pack["support_match"] = support_match
|
| 370 |
+
|
| 371 |
+
for key in ["first_step", "common_trap", "concept", "topic", "category"]:
|
| 372 |
+
if not self._clean(pack.get(key)):
|
| 373 |
+
val = self._clean(generated.get(key))
|
| 374 |
+
if val:
|
| 375 |
+
pack[key] = val
|
| 376 |
+
|
| 377 |
+
for key in ["hint_ladder", "walkthrough_steps", "method_steps", "method_explanation", "answer_path"]:
|
| 378 |
+
if not self._listify(pack.get(key)):
|
| 379 |
+
vals = self._dedupe(self._listify(generated.get(key)))
|
| 380 |
+
if vals:
|
| 381 |
+
pack[key] = vals
|
| 382 |
+
|
| 383 |
+
for key in ["hint_1", "hint_2", "hint_3"]:
|
| 384 |
+
if not self._clean(pack.get(key)):
|
| 385 |
+
val = self._clean(generated.get(key))
|
| 386 |
+
if val:
|
| 387 |
+
pack[key] = val
|
| 388 |
+
|
| 389 |
+
if authored_generic and self._confidence_rank(confidence) <= 1:
|
| 390 |
+
blended = dict(generated)
|
| 391 |
+
for key, value in authored.items():
|
| 392 |
+
if isinstance(value, str) and self._clean(value):
|
| 393 |
+
blended[key] = value
|
| 394 |
+
elif isinstance(value, (list, tuple)) and self._listify(value):
|
| 395 |
+
blended[key] = list(value)
|
| 396 |
+
elif key == "support_match":
|
| 397 |
+
blended[key] = value
|
| 398 |
+
pack = blended
|
| 399 |
+
pack["_generated"] = dict(generated)
|
| 400 |
+
pack["has_authored_support"] = True
|
| 401 |
+
pack["support_match"] = support_match
|
| 402 |
+
pack["support_source"] = "question_bank_refined"
|
| 403 |
+
pack["support_priority"] = 60
|
| 404 |
else:
|
| 405 |
+
pack["support_source"] = "question_bank"
|
| 406 |
+
pack["support_priority"] = 100 if self._confidence_rank(confidence) >= 2 else 80
|
| 407 |
|
| 408 |
+
return pack
|
|
|
|
|
|
|
| 409 |
|
| 410 |
def get_support_pack(
|
| 411 |
self,
|
|
|
|
| 434 |
pack.setdefault("category", category or "General")
|
| 435 |
return pack
|
| 436 |
|
| 437 |
+
def _authored_or_generated(self, pack: Dict[str, Any], key: str) -> Any:
|
| 438 |
+
value = pack.get(key)
|
| 439 |
+
if isinstance(value, str):
|
| 440 |
+
if self._clean(value):
|
| 441 |
+
return value
|
| 442 |
+
elif isinstance(value, (list, tuple)):
|
| 443 |
+
if self._listify(value):
|
| 444 |
+
return value
|
| 445 |
+
generated = dict(pack.get("_generated") or {})
|
| 446 |
+
return generated.get(key)
|
| 447 |
+
|
| 448 |
def _hint_ladder_from_pack(self, pack: Dict[str, Any]) -> List[str]:
|
| 449 |
hints: List[str] = []
|
| 450 |
+
ladder = self._listify(self._authored_or_generated(pack, "hint_ladder"))
|
| 451 |
+
authored_hints = self._listify(self._authored_or_generated(pack, "hints"))
|
| 452 |
+
if ladder or authored_hints:
|
| 453 |
+
hints.extend(ladder)
|
| 454 |
+
hints.extend(authored_hints)
|
| 455 |
+
else:
|
| 456 |
+
first_step = self._clean(self._authored_or_generated(pack, "first_step"))
|
| 457 |
+
if first_step:
|
| 458 |
+
hints.append(first_step)
|
| 459 |
+
for key in ("hint_1", "hint_2", "hint_3"):
|
| 460 |
+
value = self._clean(self._authored_or_generated(pack, key))
|
| 461 |
+
if value:
|
| 462 |
+
hints.append(value)
|
| 463 |
return self._dedupe(hints)
|
| 464 |
|
| 465 |
def _walkthrough_from_pack(self, pack: Dict[str, Any]) -> List[str]:
|
| 466 |
+
lines = self._dedupe(self._listify(self._authored_or_generated(pack, "walkthrough_steps")))
|
| 467 |
+
if lines:
|
| 468 |
+
return lines
|
| 469 |
+
first_step = self._clean(self._authored_or_generated(pack, "first_step"))
|
| 470 |
+
hint_ladder = self._hint_ladder_from_pack(pack)
|
| 471 |
+
return self._dedupe(([first_step] if first_step else []) + hint_ladder[:4])
|
| 472 |
|
| 473 |
def _method_from_pack(self, pack: Dict[str, Any]) -> List[str]:
|
| 474 |
lines: List[str] = []
|
| 475 |
+
concept = self._clean(self._authored_or_generated(pack, "concept"))
|
| 476 |
if concept:
|
| 477 |
lines.append(concept)
|
| 478 |
+
lines.extend(self._listify(self._authored_or_generated(pack, "method_steps")))
|
| 479 |
+
lines.extend(self._listify(self._authored_or_generated(pack, "method_explanation")))
|
| 480 |
+
if lines:
|
| 481 |
+
return self._dedupe(lines)
|
| 482 |
+
return self._walkthrough_from_pack(pack)[:3]
|
| 483 |
|
| 484 |
def _answer_path_from_pack(self, pack: Dict[str, Any]) -> List[str]:
|
| 485 |
+
lines = self._dedupe(self._listify(self._authored_or_generated(pack, "answer_path")))
|
| 486 |
+
if lines:
|
| 487 |
+
return lines
|
| 488 |
+
first_step = self._clean(self._authored_or_generated(pack, "first_step"))
|
| 489 |
+
hint_ladder = self._hint_ladder_from_pack(pack)
|
| 490 |
+
return self._dedupe(([first_step] if first_step else []) + hint_ladder[:3])
|
| 491 |
|
| 492 |
def _verbosity_limit(self, verbosity: float, low: int, mid: int, high: int) -> int:
|
| 493 |
if verbosity < 0.25:
|
|
|
|
| 517 |
)
|
| 518 |
|
| 519 |
mode = (help_mode or "answer").lower()
|
| 520 |
+
stage = max(1, min(int(hint_stage or 1), 6))
|
| 521 |
|
| 522 |
+
first_step = self._clean(self._authored_or_generated(pack, "first_step"))
|
| 523 |
hint_ladder = self._hint_ladder_from_pack(pack)
|
| 524 |
walkthrough_steps = self._walkthrough_from_pack(pack)
|
| 525 |
method_steps = self._method_from_pack(pack)
|
| 526 |
answer_path = self._answer_path_from_pack(pack)
|
| 527 |
+
common_trap = self._clean(self._authored_or_generated(pack, "common_trap"))
|
| 528 |
|
| 529 |
lines: List[str] = []
|
| 530 |
|
|
|
|
| 536 |
selected.append(hint_ladder[idx + 1])
|
| 537 |
else:
|
| 538 |
selected = [first_step or "Start by identifying the structure of the question."]
|
| 539 |
+
if verbosity >= 0.8 and stage >= 3 and common_trap:
|
| 540 |
selected.append(f"Watch out for this trap: {common_trap}")
|
| 541 |
lines = self._dedupe(selected)
|
| 542 |
|
|
|
|
| 544 |
source = walkthrough_steps or answer_path or hint_ladder
|
| 545 |
limit = self._verbosity_limit(verbosity, low=2, mid=4, high=6)
|
| 546 |
lines = source[:limit] if source else [first_step or "Start by setting up the problem."]
|
| 547 |
+
if verbosity >= 0.75 and common_trap:
|
| 548 |
lines = list(lines) + [f"Watch out for this trap: {common_trap}"]
|
| 549 |
|
| 550 |
elif mode in {"method", "explain", "concept", "definition"}:
|
| 551 |
source = method_steps or walkthrough_steps or answer_path or hint_ladder
|
| 552 |
limit = self._verbosity_limit(verbosity, low=1, mid=2, high=4)
|
| 553 |
lines = source[:limit] if source else [first_step or "Start from the problem structure."]
|
| 554 |
+
if verbosity >= 0.7 and common_trap:
|
| 555 |
lines = list(lines) + [f"Common trap: {common_trap}"]
|
| 556 |
|
| 557 |
else:
|
| 558 |
source = answer_path or walkthrough_steps or hint_ladder
|
| 559 |
limit = self._verbosity_limit(verbosity, low=2, mid=3, high=5)
|
| 560 |
+
lines = source[:limit] if source else [first_step or "Start by identifying the main relationship in the question."]
|
| 561 |
|
| 562 |
lines = self._dedupe(lines)
|
| 563 |
return {"lines": lines, "pack": pack}
|