New Terminal Output:

root@f3f8d6319494:/app# python3 << 'PYEOF'
ubsequent frames using per-cell positioning
rest_cost = 0
for i in range(1, n_frames):
    cost = sum(abs_pos(r+1, c+1) + 1 for r in range(h) for c in range(w) if frames[i-1][r*w+c] != frames[i][r*w+c]) + 1
    rest_cost += cost

print(f'Frames 1+ cost (per-cell): {rest_cost}')
print(f'Total: {frame0_cost + rest_cost}')
PYEOF
> import struct
> from collections import Counter
>
> with open('/app/frames.tza', 'rb') as f:
>     f.read(4)
>     w, h = struct.unpack('<HH', f.read(4))
>     n_frames, max_bytes = struct.unpack('<II', f.read(8))
>     frames = [f.read(w*h) for _ in range(n_frames)]
>
> # Count changes per frame
> change_counts = []
> for i in range(n_frames):
>     if i == 0:
>         changes = sum(1 for b in frames[i] if b != 32)
>     else:
>         changes = sum(1 for j in range(w*h) if frames[i-1][j] != frames[i][j])
>     change_counts.append(changes)
>
> # Distribution
> print('Change count distribution:')
> counter = Counter(change_counts)
> for count in sorted(counter.keys()):
>     print(f'  {count} changes: {counter[count]} frames')
>
> # Calculate cost using different strategies
> def abs_pos(r, c):
>     return 3 + len(str(r)) + 1 + len(str(c))
>
> # Cost for frame 0 (non-space only)
> frame0_cost = sum(abs_pos(r+1, c+1) + 1 for r in range(h) for c in range(w) if frames[0][r*w+c] != 32) + 1
> print(f'\nFrame 0 cost: {frame0_cost}')
>
> # Cost for subsequent frames using per-cell positioning
> rest_cost = 0
> for i in range(1, n_frames):
>     cost = sum(abs_pos(r+1, c+1) + 1 for r in range(h) for c in range(w) if frames[i-1][r*w+c] != frames[i][r*w+c]) + 1
>     rest_cost += cost
>
> print(f'Frames 1+ cost (per-cell): {rest_cost}')
> print(f'Total: {frame0_cost + rest_cost}')
> PYEOF
Change count distribution:
  4 changes: 356 frames
  5 changes: 277 frames
  6 changes: 59 frames
  7 changes: 14 frames
  33 changes: 22 frames
  34 changes: 18 frames
  35 changes: 4 frames
  36 changes: 2 frames
  41 changes: 2 frames
  43 changes: 1 frames
  44 changes: 2 frames
  45 changes: 3 frames
  46 changes: 5 frames
  47 changes: 2 frames
  48 changes: 3 frames
  49 changes: 1 frames
  262 changes: 1 frames
  263 changes: 1 frames
  268 changes: 1 frames
  269 changes: 1 frames
  271 changes: 1 frames
  272 changes: 2 frames
  273 changes: 1 frames
  275 changes: 1 frames
  276 changes: 1 frames
  277 changes: 2 frames
  278 changes: 1 frames
  279 changes: 1 frames
  280 changes: 3 frames
  282 changes: 4 frames
  283 changes: 1 frames
  284 changes: 2 frames
  285 changes: 2 frames
  286 changes: 2 frames
  287 changes: 3 frames
  288 changes: 9 frames
  289 changes: 5 frames
  291 changes: 1 frames
  292 changes: 5 frames
  293 changes: 1 frames
  294 changes: 3 frames
  295 changes: 4 frames
  296 changes: 3 frames
  297 changes: 2 frames
  298 changes: 2 frames
  299 changes: 3 frames
  300 changes: 8 frames
  301 changes: 4 frames
  302 changes: 5 frames
  303 changes: 6 frames
  304 changes: 1 frames
  305 changes: 8 frames
  306 changes: 5 frames
  307 changes: 2 frames
  308 changes: 8 frames
  309 changes: 4 frames
  310 changes: 8 frames
  311 changes: 5 frames
  312 changes: 5 frames
  313 changes: 4 frames
  314 changes: 7 frames
  315 changes: 7 frames
  316 changes: 5 frames
  317 changes: 4 frames
  318 changes: 5 frames
  319 changes: 10 frames
  320 changes: 9 frames
  321 changes: 11 frames
  322 changes: 7 frames
  323 changes: 9 frames
  324 changes: 6 frames
  325 changes: 9 frames
  326 changes: 10 frames
  327 changes: 9 frames
  328 changes: 5 frames
  329 changes: 8 frames
  330 changes: 8 frames
  331 changes: 9 frames
  332 changes: 2 frames
  333 changes: 6 frames
  334 changes: 6 frames
  335 changes: 5 frames
  336 changes: 5 frames
  337 changes: 1 frames
  338 changes: 4 frames
  339 changes: 1 frames
  340 changes: 3 frames
  341 changes: 3 frames
  342 changes: 4 frames
  343 changes: 1 frames
  344 changes: 4 frames
  345 changes: 2 frames
  346 changes: 3 frames
  347 changes: 2 frames
  348 changes: 2 frames
  349 changes: 4 frames
  350 changes: 2 frames
  351 changes: 4 frames
  353 changes: 2 frames
  354 changes: 2 frames
  355 changes: 2 frames
  356 changes: 1 frames
  357 changes: 4 frames
  358 changes: 1 frames
  359 changes: 4 frames
  360 changes: 1 frames
  361 changes: 2 frames
  362 changes: 2 frames
  363 changes: 2 frames
  364 changes: 4 frames
  365 changes: 2 frames
  367 changes: 2 frames
  369 changes: 1 frames
  370 changes: 1 frames
  371 changes: 2 frames
  372 changes: 2 frames
  375 changes: 3 frames
  386 changes: 1 frames
  399 changes: 1 frames
  585 changes: 1 frames
  602 changes: 1 frames
  604 changes: 1 frames
  614 changes: 1 frames
  621 changes: 1 frames
  623 changes: 1 frames
  626 changes: 1 frames
  627 changes: 2 frames
  630 changes: 1 frames
  631 changes: 1 frames
  632 changes: 1 frames
  634 changes: 2 frames
  635 changes: 1 frames
  636 changes: 3 frames
  637 changes: 1 frames
  638 changes: 1 frames
  639 changes: 2 frames
  642 changes: 1 frames
  644 changes: 1 frames
  646 changes: 2 frames
  648 changes: 1 frames
  649 changes: 1 frames
  650 changes: 2 frames
  652 changes: 1 frames
  653 changes: 1 frames
  655 changes: 1 frames
  656 changes: 1 frames
  661 changes: 2 frames
  664 changes: 1 frames
  673 changes: 1 frames
  679 changes: 1 frames
  681 changes: 2 frames
  691 changes: 1 frames
  901 changes: 1 frames

Frame 0 cost: 7593
Frames 1+ cost (per-cell): 1327300
Total: 1334893
root@f3f8d6319494:/app#
