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Key improvements over v1:
1. Multi-config: --configs d3scale-sens002,d3scale-sens003,uniform-d2,uniform-d3
Computes per-group MSE-best scales (over a fixed 4-candidate set) ONCE per
matrix, derives all configs. ~3x faster than running v1 four times.
2. Per-matrix checkpoint: each matrix's quantized output saved to .checkpoint/
dir as soon as it's done. Crash-resume picks up where it left off.
3. Durable atomic writes (write to .tmp, fsync, rename) β no half-written or
post-power-loss-truncated checkpoints.
4. Streaming progress.json β monitors can poll without parsing logs.
5. Per-config HF model assembled at the end from checkpoints.
6. Resume validation: a fingerprint of (model id, revision, codec version,
depth-power mapping, tensor shape) is stored in each checkpoint and
re-checked on resume. A mismatch causes the stale checkpoint to be
discarded and re-quantized rather than silently mixed.
What this codec quantizes (and what it does not):
- Quantized: every 2D linear weight matrix in the model.
- Kept FP16: token embeddings, all *_norm layers, and lm_head.
This matches the convention used by GPTQ/AWQ/NF4 and is what the paper's
bits-per-weight figures account for.
Usage:
python quantize_model_v2.py --model Qwen/Qwen2.5-7B \
--configs uniform-d2,uniform-d3 \
--output /path/to/output_root \
--revision <git-sha-of-source-model> \
--workers 8 --dtype float16
Output structure:
output_root/
.checkpoint/
matrix_00000__model.layers.0.self_attn.q_proj.npz # all configs in one file
matrix_00001__model.layers.0.self_attn.k_proj.npz
...
progress.json # live status
<config>/
model/ # HF-format output
config.json
"""
import os, sys, time, json, gc, argparse, tempfile
from multiprocessing import Pool
import numpy as np
# ============================================================
# CODEC CORE (unchanged from v1)
# ============================================================
GS = 16
DEPTH_POWERS = {1: 1.0, 2: 1.5, 3: 1.2, 4: 1.0}
def build_levels(half, power):
int_levels = np.arange(-half, half + 1).astype(np.float64)
n = int_levels / max(half, 1)
if power != 1.0:
return np.sign(n) * np.abs(n) ** power * max(half, 1)
return int_levels
def make_boundaries(level_map, zero_boundary=None):
"""Default = midpoints between levels. If zero_boundary given, override the
boundaries straddling 0 (used for d1 with custom zero-zone width)."""
boundaries = (level_map[:-1] + level_map[1:]) / 2
if zero_boundary is not None:
zero_idx = int(np.argmin(np.abs(level_map)))
if zero_idx > 0:
boundaries[zero_idx - 1] = -abs(zero_boundary)
if zero_idx < len(level_map) - 1:
boundaries[zero_idx] = abs(zero_boundary)
return boundaries
def compute_best_scale_4cand(groups, depth, power, zero_boundary=None):
"""Pick the per-group scale that minimises reconstruction MSE among 4 fixed
order-statistic candidates of the sorted absolute weights:
indices [gs-6, gs-4, gs-2, gs-1] (roughly the 69th/81st/94th/100th
percentiles for gs=16).
This is a deliberately small candidate set, not an exhaustive sweep.
Empirically <1% PPL gap from a dense sweep on Qwen2.5-7B; in exchange
quantization is ~50x faster than evaluating every percentile.
"""
half = (3 ** depth) // 2
gs = groups.shape[1]
sa = np.sort(np.abs(groups), axis=1)
cand_idx = np.clip(np.array([gs-6, gs-4, gs-2, gs-1]), 0, gs-1)
level_map = build_levels(half, power)
boundaries = make_boundaries(level_map, zero_boundary)
N = len(groups)
best_scale = np.zeros(N); best_mse = np.full(N, np.inf)
for ki in cand_idx:
scales = np.maximum(sa[:, ki] / max(half, 1), 1e-30)
normalized = groups / scales[:, None]
idx = np.searchsorted(boundaries, normalized.ravel())
idx = np.clip(idx, 0, len(level_map) - 1)
q = level_map[idx].reshape(N, gs)
recon = q * scales[:, None]
mse = np.mean((groups - recon) ** 2, axis=1)
better = mse < best_mse
best_mse[better] = mse[better]; best_scale[better] = scales[better]
return best_scale, best_mse
# Backwards-compatible alias β earlier scripts and the published paper repo
# refer to this as the "MSE-optimal" call site. The name overstates the
# guarantee (see docstring on compute_best_scale_4cand) but the algorithm is
# unchanged.
compute_optimal_scale = compute_best_scale_4cand
def trit_quantize_scales(scales, sd):
log_scales = np.log(np.maximum(scales, 1e-30))
half = (3 ** sd) // 2
n_levels = 2 * half + 1
log_min = np.percentile(log_scales, 0.1)
log_max = np.max(log_scales) # 100th pct β never clip large scales
if log_max - log_min < 1e-9:
log_max = log_min + 1e-9
codebook_log = np.linspace(log_min, log_max, n_levels)
idx = np.argmin(np.abs(log_scales[:, None] - codebook_log[None, :]), axis=1)
return np.exp(codebook_log[idx])
def quantize_with_scale(groups, scale, depth, power, zero_boundary=None):
half = (3 ** depth) // 2
level_map = build_levels(half, power)
boundaries = make_boundaries(level_map, zero_boundary)
scale = np.maximum(scale, 1e-30)
normalized = groups / scale[:, None]
idx = np.searchsorted(boundaries, normalized.ravel())
idx = np.clip(idx, 0, len(level_map) - 1)
q = level_map[idx].reshape(groups.shape)
return q * scale[:, None]
# ============================================================
# CODEC CONFIGS
# ============================================================
CODECS = {
'd3scale-sens002': {'mode': 'adaptive', 'scale_depth': 3, 'threshold': 0.002},
'd3scale-sens003': {'mode': 'adaptive', 'scale_depth': 3, 'threshold': 0.003},
# d1 with narrow zero zone (zw=0.25): 3 levels {-1,0,+1}, zero only when |w|<0.25*scale.
# Old default was zw=0.5 which made 97.5% of weights round to 0 (random-chance MMLU).
'uniform-d1': {'mode': 'uniform', 'scale_depth': 3, 'depth': 1, 'zero_boundary': 0.25},
'uniform-d2': {'mode': 'uniform', 'scale_depth': 3, 'depth': 2},
'uniform-d3': {'mode': 'uniform', 'scale_depth': 3, 'depth': 3},
'uniform-d4': {'mode': 'uniform', 'scale_depth': 3, 'depth': 4},
}
# ============================================================
# MULTI-CONFIG MATRIX QUANTIZATION
# ============================================================
def quantize_matrix_multi(args):
"""Quantize one matrix for ALL requested configs in a single pass.
Returns dict: config_name -> (recon_w, depth_counts, weight_bits, scale_bits, n_groups)
"""
w_flat, rows, cols, config_names = args
w = w_flat.reshape(rows, cols)
pad = (GS - cols % GS) % GS
if pad > 0:
w = np.pad(w, ((0, 0), (0, pad)))
groups = w.reshape(-1, GS).astype(np.float64)
N = len(groups)
group_var = np.maximum(np.var(groups, axis=1), 1e-30)
# Precompute optimal scale + MSE for every (depth, zero_boundary) combo used.
# Adaptive uses default boundaries for d2/d3/d4; uniform configs may override (e.g. d1 zw=0.25).
needed_keys = set() # (depth, zero_boundary)
for cn in config_names:
cfg = CODECS[cn]
if cfg['mode'] == 'adaptive':
for d in (2, 3, 4):
needed_keys.add((d, None))
else:
needed_keys.add((cfg['depth'], cfg.get('zero_boundary')))
scales_per_key = {}
mse_per_key = {}
recon_per_key = {}
for d, zb in sorted(needed_keys, key=lambda x: (x[0], x[1] or 0)):
power = DEPTH_POWERS[d]
opt_s, _ = compute_optimal_scale(groups, d, power, zero_boundary=zb)
use_s = trit_quantize_scales(opt_s, 3)
r = quantize_with_scale(groups, use_s, d, power, zero_boundary=zb)
mse = np.mean((groups - r) ** 2, axis=1)
scales_per_key[(d, zb)] = use_s
mse_per_key[(d, zb)] = mse
recon_per_key[(d, zb)] = r
out = {}
for cn in config_names:
cfg = CODECS[cn]
if cfg['mode'] == 'uniform':
d = cfg['depth']
zb = cfg.get('zero_boundary')
recon = recon_per_key[(d, zb)]
depth_counts = {1:0, 2:0, 3:0, 4:0}
depth_counts[d] = N
wb = N * GS * d * np.log2(3)
sb = N * cfg['scale_depth'] * np.log2(3)
else: # adaptive
eff_thresh = cfg['threshold'] * 5.5
recon = np.zeros_like(groups)
assigned = np.zeros(N, dtype=bool)
depth_counts = {1:0, 2:0, 3:0, 4:0}
wb = 0.0; sb = 0.0
for d in [2, 3, 4]:
unassigned = ~assigned
if not np.any(unassigned):
break
if d == 4:
recon[unassigned] = recon_per_key[(4, None)][unassigned]
n_d = int(np.sum(unassigned))
depth_counts[d] = n_d
wb += n_d * GS * d * np.log2(3)
sb += n_d * cfg['scale_depth'] * np.log2(3)
break
mse_d = mse_per_key[(d, None)][unassigned]
meets = (mse_d / group_var[unassigned]) < eff_thresh
uidx = np.where(unassigned)[0]
midx = uidx[meets]
recon[midx] = recon_per_key[(d, None)][midx]
assigned[midx] = True
n_d = int(np.sum(meets))
depth_counts[d] = n_d
wb += n_d * GS * d * np.log2(3)
sb += n_d * cfg['scale_depth'] * np.log2(3)
recon_w = recon.reshape(rows, -1)[:, :cols].astype(np.float32)
out[cn] = {
'recon_w': recon_w,
'depth_counts': depth_counts,
'weight_bits': float(wb),
'scale_bits': float(sb),
'n_groups': N,
}
return out
# ============================================================
# CHECKPOINTING
# ============================================================
def matrix_ckpt_path(ckpt_dir, idx, name):
safe = name.replace('/', '__').replace('.', '_')
return os.path.join(ckpt_dir, f'matrix_{idx:05d}__{safe}.npz')
def atomic_save_npz(path, data):
"""Write `data` to `path` atomically, with fsync before rename so the
checkpoint survives power loss / SIGKILL after the rename returns."""
# NOTE: np.savez_compressed silently appends '.npz' if missing β so we
# name the tmp file with .npz suffix and pass it the same path.
fd, tmp = tempfile.mkstemp(prefix='.tmp_', suffix='.npz', dir=os.path.dirname(path))
os.close(fd)
np.savez_compressed(tmp, **data)
# fsync the file so its data is durable before we rename. os.replace then
# makes the rename atomic (POSIX guarantees same-filesystem rename atomicity).
fd = os.open(tmp, os.O_RDONLY)
try:
os.fsync(fd)
finally:
os.close(fd)
os.replace(tmp, path)
# fsync the parent directory so the rename itself is durable.
dir_fd = os.open(os.path.dirname(path) or '.', os.O_RDONLY)
try:
os.fsync(dir_fd)
except OSError:
pass # not all filesystems support directory fsync (e.g. some FUSE)
finally:
os.close(dir_fd)
# Codec version β bumped whenever the algorithm changes in a way that would
# make older checkpoints invalid (e.g. depth-power mapping change, scale
# codebook range change, group-size change). Used by the fingerprint validator.
CODEC_VERSION = 'v2.0'
def codec_fingerprint(model_id, revision, depth_powers, group_size, codec_version):
"""Stable string that identifies the algorithmic state behind a checkpoint.
Two checkpoints with the same fingerprint can be safely interleaved.
Two with different fingerprints must not be mixed β a mismatch on resume
causes the stale checkpoint to be discarded and re-quantized.
"""
parts = [
f'codec={codec_version}',
f'model={model_id}',
f'revision={revision or "unspecified"}',
f'gs={group_size}',
f'powers=' + ','.join(f'{d}:{p}' for d, p in sorted(depth_powers.items())),
]
return '|'.join(parts)
def load_ckpt(path):
with np.load(path, allow_pickle=True) as z:
return {k: z[k] for k in z.files}
def write_progress(out_root, state):
path = os.path.join(out_root, 'progress.json')
fd, tmp = tempfile.mkstemp(prefix='.tmp_', dir=out_root)
with os.fdopen(fd, 'w') as f:
json.dump(state, f, indent=2)
os.replace(tmp, path)
# ============================================================
# MAIN
# ============================================================
def main():
parser = argparse.ArgumentParser(description='Multi-config ternary quantizer with checkpointing')
parser.add_argument('--model', required=True)
parser.add_argument('--configs', required=True,
help='Comma-separated codec names: ' + ','.join(CODECS.keys()))
parser.add_argument('--output', required=True, help='Output root dir')
parser.add_argument('--workers', type=int, default=1)
parser.add_argument('--dtype', default='float16', choices=['float16', 'bfloat16'])
parser.add_argument('--skip-assembly', action='store_true',
help='Quantize matrices and checkpoint only; skip final HF model assembly.')
parser.add_argument('--matrix-range', default=None,
help='Slice of matrices to process: "start:end" (0-indexed, end exclusive). '
'Use to manually parallelize across processes/machines via shared checkpoint dir.')
parser.add_argument('--revision', default=None,
help='HuggingFace revision (commit SHA or tag) to pin the source model. '
'Recommended for reproducibility β without it, the upstream repo can move under you.')
args = parser.parse_args()
config_names = [c.strip() for c in args.configs.split(',') if c.strip()]
for cn in config_names:
if cn not in CODECS:
print(f'ERROR: unknown codec {cn}', file=sys.stderr); sys.exit(2)
os.makedirs(args.output, exist_ok=True)
ckpt_dir = os.path.join(args.output, '.checkpoint')
os.makedirs(ckpt_dir, exist_ok=True)
print(f'=== Quantizing {args.model} ===', flush=True)
print(f' configs: {config_names}', flush=True)
print(f' workers: {args.workers}', flush=True)
import torch
from transformers import AutoModelForCausalLM, AutoTokenizer, AutoConfig, AutoModel
dtype = torch.bfloat16 if args.dtype == 'bfloat16' else torch.float16
print(' loading model (CPU)...', flush=True)
t_load = time.time()
_cfg = AutoConfig.from_pretrained(args.model, revision=args.revision, trust_remote_code=True)
_arch = ((getattr(_cfg, 'architectures', None) or [''])[0] or '').lower()
if 't5' in _arch or 'encoder' in _arch:
from transformers import T5EncoderModel
print(' loading as T5EncoderModel (encoder-only)', flush=True)
model = T5EncoderModel.from_pretrained(args.model, revision=args.revision, torch_dtype=dtype,
device_map='cpu', trust_remote_code=True,
low_cpu_mem_usage=True)
else:
try:
model = AutoModelForCausalLM.from_pretrained(args.model, revision=args.revision, torch_dtype=dtype,
device_map='cpu', trust_remote_code=True,
low_cpu_mem_usage=True)
except ValueError:
print(' fallback to generic AutoModel', flush=True)
model = AutoModel.from_pretrained(args.model, revision=args.revision, torch_dtype=dtype,
device_map='cpu', trust_remote_code=True,
low_cpu_mem_usage=True)
try:
tokenizer = AutoTokenizer.from_pretrained(args.model, revision=args.revision, trust_remote_code=True)
if tokenizer.pad_token is None:
tokenizer.pad_token = tokenizer.eos_token
except Exception as e:
print(f' tokenizer load failed (ok for encoder-only): {e}', flush=True)
tokenizer = None
print(f' loaded in {time.time()-t_load:.0f}s', flush=True)
# Collect matrices to quantize (skip embeddings, norms, lm_head)
matrices = []
for pn, p in model.named_parameters():
if p.dim() != 2 or 'norm' in pn or 'embed' in pn or 'lm_head' in pn:
continue
matrices.append((pn, p))
print(f' {len(matrices)} matrices to quantize', flush=True)
# Apply --matrix-range slice (for parallel sharded processing)
range_start, range_end = 0, len(matrices)
if args.matrix_range:
s, e = args.matrix_range.split(':')
range_start = int(s) if s else 0
range_end = int(e) if e else len(matrices)
range_end = min(range_end, len(matrices))
print(f' matrix-range: [{range_start}:{range_end})', flush=True)
# Codec fingerprint for this run β used to validate resumed checkpoints.
expected_fp = codec_fingerprint(args.model, args.revision, DEPTH_POWERS, GS, CODEC_VERSION)
# Determine which need work (resume from checkpoints)
todo = []
done_count = 0
discarded_count = 0
for idx, (pn, p) in enumerate(matrices):
if idx < range_start or idx >= range_end:
continue
cp = matrix_ckpt_path(ckpt_dir, idx, pn)
if os.path.exists(cp):
try:
z = np.load(cp, allow_pickle=True)
meta = json.loads(str(z['_meta'][()]))
# Validate: configs cover requested set, fingerprint matches, shape matches.
have_configs = set(meta.get('configs', []))
ckpt_fp = meta.get('fingerprint')
ckpt_shape = tuple(meta.get('shape', ()))
cur_shape = tuple(p.shape)
if all(cn in have_configs for cn in config_names) \
and ckpt_fp == expected_fp \
and ckpt_shape == cur_shape:
done_count += 1
continue
if ckpt_fp != expected_fp:
print(f' fingerprint mismatch on {cp}: stale={ckpt_fp!r} expected={expected_fp!r} β discarding', flush=True)
elif ckpt_shape != cur_shape:
print(f' shape mismatch on {cp}: stale={ckpt_shape} current={cur_shape} β discarding', flush=True)
else:
print(f' missing configs in {cp}: have={have_configs}, need={config_names} β redoing', flush=True)
discarded_count += 1
os.remove(cp)
except Exception as e:
print(f' bad checkpoint {cp}: {e}, will redo', flush=True)
os.remove(cp)
todo.append((idx, pn, p))
if discarded_count:
print(f' discarded {discarded_count} stale checkpoint(s)', flush=True)
print(f' {done_count} matrices already checkpointed, {len(todo)} to do', flush=True)
t0 = time.time()
state = {
'model': args.model, 'configs': config_names,
'total_matrices': len(matrices),
'done_matrices': done_count,
'started_at': t0, 'updated_at': t0,
}
write_progress(args.output, state)
def process_one(idx, pn, p):
w = p.data.float().numpy()
result = quantize_matrix_multi(
(w.ravel(), w.shape[0], w.shape[1], config_names))
# Pack into npz: one key per config + meta (with codec fingerprint
# so a future resume can detect a stale checkpoint and discard it).
save_data = {'_meta': np.array(json.dumps({
'name': pn, 'idx': idx, 'shape': list(w.shape),
'configs': config_names,
'fingerprint': expected_fp,
}))}
for cn, info in result.items():
save_data[f'{cn}__w'] = info['recon_w']
save_data[f'{cn}__stats'] = np.array(json.dumps({
'depth_counts': info['depth_counts'],
'weight_bits': info['weight_bits'],
'scale_bits': info['scale_bits'],
'n_groups': info['n_groups'],
}))
atomic_save_npz(matrix_ckpt_path(ckpt_dir, idx, pn), save_data)
return idx
if args.workers > 1 and len(todo) > 1:
# Streaming generator: yield (matrix, config_names) one at a time.
# CRITICAL: do NOT pre-build all matrices in a list β for large models
# (Llama 70B = 140GB) that OOMs the box at multiple hundred GB. The generator
# is consumed lazily by Pool.imap.
idx_name = [(idx, pn, list(p.shape)) for idx, pn, p in todo]
def gen():
for idx, pn, p in todo:
w = p.data.float().numpy()
yield (w.ravel(), w.shape[0], w.shape[1], config_names)
# Free the source tensor after we've handed off the numpy view.
# The Pool worker has its own copy via pickle.
p.data = __import__('torch').zeros(1, dtype=p.dtype)
with Pool(args.workers) as pool:
for i, result in enumerate(pool.imap(quantize_matrix_multi, gen(), chunksize=1)):
idx, pn, shape = idx_name[i]
save_data = {'_meta': np.array(json.dumps({
'name': pn, 'idx': idx, 'shape': shape,
'configs': config_names,
'fingerprint': expected_fp,
}))}
for cn, info in result.items():
save_data[f'{cn}__w'] = info['recon_w']
save_data[f'{cn}__stats'] = np.array(json.dumps({
'depth_counts': info['depth_counts'],
'weight_bits': info['weight_bits'],
'scale_bits': info['scale_bits'],
'n_groups': info['n_groups'],
}))
atomic_save_npz(matrix_ckpt_path(ckpt_dir, idx, pn), save_data)
done_count += 1
state['done_matrices'] = done_count
state['updated_at'] = time.time()
state['elapsed_s'] = time.time() - t0
if (i+1) % 5 == 0 or (i+1) == len(todo):
write_progress(args.output, state)
eta = (len(todo) - (i+1)) * (time.time() - t0) / max(i+1, 1)
print(f' {done_count}/{len(matrices)} ({time.time()-t0:.0f}s, ETA {eta:.0f}s)', flush=True)
else:
for i, (idx, pn, p) in enumerate(todo):
process_one(idx, pn, p)
done_count += 1
state['done_matrices'] = done_count
state['updated_at'] = time.time()
state['elapsed_s'] = time.time() - t0
if (i+1) % 5 == 0 or (i+1) == len(todo):
write_progress(args.output, state)
eta = (len(todo) - (i+1)) * (time.time() - t0) / max(i+1, 1)
print(f' {done_count}/{len(matrices)} ({time.time()-t0:.0f}s, ETA {eta:.0f}s)', flush=True)
print(f' Quantization complete in {time.time()-t0:.0f}s', flush=True)
# If we processed only a slice, don't assemble β leave that for the merge step.
if args.matrix_range:
# Verify which checkpoints exist for this slice; print summary
slice_done = sum(1 for idx, (pn, p) in enumerate(matrices)
if range_start <= idx < range_end
and os.path.exists(matrix_ckpt_path(ckpt_dir, idx, pn)))
print(f' slice [{range_start}:{range_end}): {slice_done} checkpointed', flush=True)
return
if args.skip_assembly:
print(' --skip-assembly: not building HF model dirs', flush=True)
return
# ============================================================
# ASSEMBLY: load each config from checkpoints, write HF model
# ============================================================
print(' Assembling HF models per config...', flush=True)
for cn in config_names:
cfg_dir = os.path.join(args.output, cn)
os.makedirs(cfg_dir, exist_ok=True)
model_dir = os.path.join(cfg_dir, 'model')
# Aggregate stats
total_groups = 0
total_depth = {1:0, 2:0, 3:0, 4:0}
total_wb = 0.0; total_sb = 0.0
# Replace tensors in-place with this config's reconstruction
name_to_param = {pn: p for pn, p in matrices}
for idx, (pn, p) in enumerate(matrices):
cp = matrix_ckpt_path(ckpt_dir, idx, pn)
z = np.load(cp, allow_pickle=True)
recon_w = z[f'{cn}__w']
stats = json.loads(str(z[f'{cn}__stats'][()]))
p.data = __import__('torch').from_numpy(recon_w).to(p.dtype)
total_groups += stats['n_groups']
for d in [1,2,3,4]:
total_depth[d] += stats['depth_counts'].get(str(d), stats['depth_counts'].get(d, 0))
total_wb += stats['weight_bits']
total_sb += stats['scale_bits']
tg = max(total_groups, 1)
trit_bpw = total_wb / (tg * GS)
scale_bpw = total_sb / (tg * GS)
total_bpw = trit_bpw + scale_bpw
print(f' [{cn}] BPW={total_bpw:.3f} (trit={trit_bpw:.3f}+scale={scale_bpw:.3f})', flush=True)
print(f' [{cn}] Saving to {model_dir}...', flush=True)
model.save_pretrained(model_dir, safe_serialization=True)
if tokenizer is not None:
tokenizer.save_pretrained(model_dir)
config = {
'model': os.path.basename(args.model.rstrip('/')),
'model_revision': args.revision,
'codec_version': CODEC_VERSION,
'codec_fingerprint': expected_fp,
'codec': cn,
'bpw': total_bpw, 'trit_bpw': trit_bpw, 'scale_bpw': scale_bpw,
'depth_pcts': {str(d): total_depth[d]/tg for d in [1,2,3,4]},
'n_matrices': len(matrices),
'group_size': GS,
'fp16_layers': ['lm_head', 'embed_tokens', '*_norm'],
'codec_params': CODECS[cn],
}
with open(os.path.join(cfg_dir, 'config.json'), 'w') as f:
json.dump(config, f, indent=2)
print(f' [{cn}] DONE: {cfg_dir}', flush=True)
print(f' ALL CONFIGS COMPLETE in {time.time()-t0:.0f}s total', flush=True)
if __name__ == '__main__':
main()
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