Puzzle experiment - the data

Puzzle experiment - the data
AI art by Nano Banana
demystifAI · model benchmark
AI & Data · reactive-news pillar
16 July 2026 · Status: reference
16 models · one block puzzle
demystifAI · model benchmark · 16 Jul 2026

Block Blast experiment, the data.

We handed sixteen vision-capable frontier models the same screenshot of the popular Block Blast! game and the same basic instructions: read the puzzle, and solve it by clearing as many lines as you can. We then compared the outcome and performance of each model.

16models tested
3actually solved it
3lines — the maximum
£1.72total spend

The puzzle

block puzzle screenshot

An 8×8 board, partly filled, with three pieces to drop in: a T-tetromino, a 2×3 rectangle and a 1×5 bar. Simple to look at — but there's a trap.

The 2×3 rectangle has no legal home on the opening board. The only way to place all three pieces is to place the T and the bar so that completing a row and a column clears them, opening a fresh 2×3 pocket for the rectangle. A model that just tries to drop all three onto the board as-is cannot win. Maximum achievable: 3 lines cleared.

How it's solved — the only winning line

All three models that solved it found the identical sequence. Colour key: green = T · teal = bar · blue = rectangle · gold dashes = a line completing and clearing.

stage 0
stage 1
stage 2
stage 3

Accuracy — the headline

ModelBoard readLegal pieces /3Result Lines act/claimOptimal
anthropic/claude-fable-5correct
3
SOLVED3 / 3
openai/gpt-5.6-sol-procorrect
3
SOLVED3 / 3
google/gemini-3.1-pro-previewcorrect
3
SOLVED3 / 2
anthropic/claude-opus-4.8partial
2
did not solve1 / 0
x-ai/grok-4.5incorrect
2
did not solve1 / 3
qwen/qwen3.7-pluspartial
2
did not solve1 / 1
mistralai/mistral-small-2603incorrect
1
did not solve1 / 3
anthropic/claude-haiku-4.5partial
1
did not solve0 / 0
google/gemini-3.1-flash-liteincorrect
1
did not solve0 / 1
x-ai/grok-4.3 · lowincorrect
1
did not solve0 / 3
openai/gpt-5.6-lunacorrect
0
did not solve0 / 0
x-ai/grok-4.3 · highincorrect
0
did not solve0 / 2
mistralai/mistral-large-2512incorrect
0
did not solve0 / 2
moonshotai/kimi-k2.6no answer
0
no answer0 / —
z-ai/glm-5v-turboincorrect
0
did not solve0 / 4
minimax/minimax-m3no answer
0
no answer0 / —

Speed

ModelLatencyOut tok/sAnswered
mistralai/mistral-small-26034s
42.5
google/gemini-3.1-flash-lite5s
90.3
anthropic/claude-haiku-4.510s
102.0
mistralai/mistral-large-251212s
54.9
x-ai/grok-4.3 · low13s
79.1
anthropic/claude-opus-4.827s
75.1
openai/gpt-5.6-luna50s
122.8
z-ai/glm-5v-turbo109s
111.6
openai/gpt-5.6-sol-pro119s
126.2
google/gemini-3.1-pro-preview122s
130.8
x-ai/grok-4.3 · high170s
121.8
anthropic/claude-fable-5185s
84.7
moonshotai/kimi-k2.6232s
68.9
qwen/qwen3.7-plus355s
55.0
minimax/minimax-m3397s
100.8
x-ai/grok-4.5592s
75.8

Cost — this one call

ModelUSDGBPCompletion tokReasoning tok
mistralai/mistral-small-2603$0.0004£0.0003
1860
google/gemini-3.1-flash-lite$0.0010£0.0008
4390
mistralai/mistral-large-2512$0.0019£0.0015
6650
x-ai/grok-4.3 · low$0.0046£0.0036
1057827
anthropic/claude-haiku-4.5$0.0071£0.0056
10430
qwen/qwen3.7-plus$0.0255£0.0201
1953718262
openai/gpt-5.6-luna$0.0386£0.0305
60855696
minimax/minimax-m3$0.0481£0.0380
4000024948
z-ai/glm-5v-turbo$0.0507£0.0401
1217311431
x-ai/grok-4.3 · high$0.0537£0.0424
2068120476
anthropic/claude-opus-4.8$0.0607£0.0479
20300
moonshotai/kimi-k2.6$0.0657£0.0519
1600014380
google/gemini-3.1-pro-preview$0.1947£0.1538
1598515356
x-ai/grok-4.5$0.2722£0.2150
4482644592
openai/gpt-5.6-sol-pro$0.5553£0.4387
1507414373
anthropic/claude-fable-5$0.8026£0.6341
156562802

What we learned

  1. Only 3 of 16 solved it — Claude Fable 5, GPT-5.6-sol-pro and Gemini-3.1-pro. The first two also counted their own result correctly; Gemini found the identical optimal placement but undercounted it as 2 lines.
  2. Reading the board — not reasoning — was the wall. Most failures are confident, well-argued answers computed over a misread board. Grok-4.5 burned 44,592 reasoning tokens to land an illegal overlap; GLM claimed 4 lines, which is impossible.
  3. The most honest wrong answer: GPT-5.6-luna read the board perfectly and spotted the trap — "the 2×3 rectangle has no legal placement initially" — then wrongly concluded no solution exists.
  4. Two "thinking" models never answered at all. Kimi K2.6 and MiniMax M3 spent their entire token budget on internal reasoning and returned an empty answer — MiniMax even with a 40,000-token budget.
  5. More reasoning ≠ better. The winner (sol-pro) used 14k reasoning tokens; Fable solved it with under 3k. Throwing more tokens at the problem mostly bought more confident wrongness.
Reference solution — 3 lines.
1) T → (4,4)(5,3)(5,4)(6,4) — no clear, but fills column 4 rows 4–6.
2) 1×5 bar → row 7, cols 1–5 — completes row 7 + column 3 (2 lines), opening the pocket.
3) 2×3 rect → rows 7–8, cols 3–5 — completes column 4 (1 line). Total: 3.

Full transcripts

Every model's visible answer, verbatim (internal reasoning not shown — providers don't return it). Ordered best to worst.

anthropic/claude-fable-5 SOLVED · optimal185s · 15656 out tok (2802 reasoning) · $0.8026
## 1) Board transcription

Reading the image (rows 1–8 top→bottom, cols 1–8 left→right):

```
Row 1: # # # # . . . #
Row 2: # # # # . # # .
Row 3: # # # # . # . #
Row 4: # . # . . # # #
Row 5: . . . . . . . .
Row 6: # # # . . # # .
Row 7: . . . . . # # #
Row 8: . # # . . # . #
```

Key observations: col 3 only lacks (5,3) and (7,3); col 4 lacks rows 4–8; row 7 lacks exactly cols 1–5 (perfect for the 1×5 bar).

## 2) Solution (ordered placements)

**Move 1 — Piece T** (vertical bar in col 4, nub pointing left):
Cells: **(4,4), (5,3), (5,4), (6,4)**
All four cells are empty. No line clears yet — but now col 3 lacks only (7,3), and col 4 is filled in rows 1–6.

**Move 2 — Piece B** (1×5 bar):
Cells: **(7,1), (7,2), (7,3), (7,4), (7,5)**
All five cells are empty. This completes:
- **Row 7** (cols 6–8 were already filled) → clears
- **Column 3** (the bar fills the last gap at (7,3)) → clears

Both clear simultaneously (2 lines). The board now has row 7 fully empty and col 3 fully empty; row 8 is left with only (8,2), (8,6), (8,8) filled. Column 4 now lacks only rows 7 and 8.

**Move 3 — Piece R** (2×3 rectangle):
Cells: **(7,3), (7,4), (7,5), (8,3), (8,4), (8,5)**
All six cells are empty (row 7 was just cleared; (8,3) was emptied by the col-3 clear). This completes:
- **Column 4** (rows 1–6 filled by the board + Piece T, rows 7–8 filled by this rectangle) → clears

## Summary

| # | Piece | Cells | Lines cleared |
|---|-------|-------|---------------|
| 1 | T | (4,4),(5,3),(5,4),(6,4) | — |
| 2 | B | (7,1)–(7,5) | Row 7, Col 3 |
| 3 | R | (7,3),(7,4),(7,5),(8,3),(8,4),(8,5) | Col 4 |

**TOTAL LINES CLEARED: 3**
openai/gpt-5.6-sol-pro SOLVED · optimal119s · 15074 out tok (14373 reasoning) · $0.5553
Board transcription (`#` filled, `.` empty):

```text
    12345678
1   ####...#
2   ####.##.
3   ####.#.#
4   #.#..###
5   ........
6   ###..##.
7   .....###
8   .##..###
```

Placements:

1. **Piece T**: `(4,4), (5,3), (5,4), (6,4)`  
   - Clears: none

2. **Piece B**: `(7,1), (7,2), (7,3), (7,4), (7,5)`  
   - Clears: **row 7** and **column 3**

3. **Piece R**: `(7,3), (7,4), (7,5), (8,3), (8,4), (8,5)`  
   - Clears: **column 4**

**TOTAL LINES CLEARED: 3**
google/gemini-3.1-pro-preview SOLVED · optimal122s · 15985 out tok (15356 reasoning) · $0.1947
1) BOARD TRANSCRIPTION (8x8 grid):
(Rows 1-8 top to bottom, Columns 1-8 left to right. '#' is filled, '.' is empty)
Row 1: # # # # . . . #
Row 2: # # # # . # # .
Row 3: # # # # . # . #
Row 4: # . # . . # # #
Row 5: . . . . . . . .
Row 6: # # # . . # # .
Row 7: . . . . . # # #
Row 8: . # # . . # # #

2) SOLUTION:
The board currently lacks a contiguous 2x3 empty space to place Piece R. We must clear lines to create space. Row 5 is empty, and Row 7 has exactly 5 empty cells horizontally which suggests a row clear. Column 3 only needs two cells filled to clear (at Row 5 and Row 7). We can execute a combo that clears both Row 7 and Column 3 to open up the needed space for our 2x3 piece!

**Placement 1:** 
- **Piece:** T (vertical column of 3 on the right, 1 sticking out on the left) 
- **Location:** Place the vertical bar in Column 4 at Rows 4, 5, 6, with the stick part pointing into Row 5, Column 3. 
- **Cells occupied:** (4,4), (5,4), (6,4) and (5,3).
- **Clears:** No lines clear yet, but we've now plugged the hole in Column 3 at Row 5.

**Placement 2:**
- **Piece:** B (1x5 horizontal bar)
- **Location:** Place it flat along the bottom-left gap in Row 7.
- **Cells occupied:** (7,1), (7,2), (7,3), (7,4), (7,5).
- **Clears:** Placing this piece fills the last remaining gap in **Column 3** and completes **Row 7**, causing *both* to clear at the same time! Row 7 completely empties out, and Column 3 (including the block blocking Row 8) is entirely erased. 

**Placement 3:**
- **Piece:** R (2x3 solid rectangle)
- **Location:** Thanks to combining the column and row clears, an exact 2x3 pocket is now newly opened bridging Rows 7 and 8 at Columns 3, 4, and 5.
- **Cells occupied:** (7,3), (7,4), (7,5), (8,3), (8,4), (8,5).
- **Clears:** No lines clear on this final placement.

3) TOTAL LINES CLEARED: 2
anthropic/claude-opus-4.8 did not solve27s · 2030 out tok (0 reasoning) · $0.0607
I'll transcribe the board carefully from the image.

## 1) Board Transcription

Reading the 8x8 grid (# = filled, . = empty):

```
Row 1:  # # # #  . . . #
Row 2:  # # # #  . # # .
Row 3:  # # # #  . # . #
Row 4:  # . # .  . # # #
Row 5:  . . . .  . . . .
Row 6:  # # # .  . # # .
Row 7:  . . . .  . # # #
Row 8:  . # # .  . # # #
```

Filled cells:
- R1: 1,2,3,4,8
- R2: 1,2,3,4,6,7
- R3: 1,2,3,4,6,8
- R4: 1,3,6,7,8
- R5: (empty)
- R6: 1,2,3,6,7
- R7: 6,7,8
- R8: 2,3,6,7,8

## 2) Analysis and Solution

Let me look for near-complete lines.

**Row 4** has filled: 1,3,6,7,8. Empty: 2,4,5. 
**Column 6** has filled: 2,3,4,6,7,8. Empty: 1,5.
**Row 1** has filled: 1,2,3,4,8. Empty: 5,6,7.

Let me try to complete **Row 1**: empty cells are (1,5),(1,6),(1,7). Piece B is a 1x5 bar — too long. 

Try **Piece T** (T-tetromino, orientation: three across top, one below middle) to fill Row 4 gaps.

Let me place **Piece R (2x3)** at rows 4-5, cols 3-5? (4,3) is filled. No.

**Place Piece B (1x5)** on row 5, cols 1-5 → (5,1)(5,2)(5,3)(5,4)(5,5). All empty. ✓

**Place Piece R (2x3)** at rows 4-5, cols... row 5 now partly filled. Let me place R at rows 6-7? Row6 empty at 4,5,8; Row7 empty at 1,2,3,4,5. Place R at (6,3)? (6,3) filled. Place R at rows 7-8 cols 3-5: (7,3)(7,4)(7,5)(8,3)(8,4)(8,5) — (8,3) filled. No.

Let me place **R at rows 4-5, cols... ** need 2x3 all empty. Row4 empty:2,4,5; Row5 empty:6,7,8 (after B). Cols 6-8 rows4-5: (4,6)(4,7)(4,8) filled. No good spot easily.

**Place T** to complete a column. Column 4 filled: 1,2,3. Empty everywhere else. 

Let me focus on achievable clears:

**Place B (1x5) at row 5, cols 1-5.** Row 5 now: 1,2,3,4,5 filled.
**Place T at row 5-6:** T shape = (r,c),(r,c+1),(r,c+2),(r+1,c+1). Place top row at (5,6)(5,7)(5,8) and (6,7). Check: (5,6)(5,7)(5,8) empty ✓, (6,7) filled ✗.

Try T top at (5,5)(5,6)(5,7)+(6,6): but (5,5) will be filled by B. Order: place T first. (5,5)(5,6)(5,7) empty, (6,6) filled ✗.

**Place B at row 5, cols 4-8:** (5,4)(5,5)(5,6)(5,7)(5,8) all empty ✓.
Then **place T top at (5,1)(5,2)(5,3)+(6,2):** (6,2) filled ✗.

**Place B at row 5 cols 1-5**, then need cols 6,7,8 in row 5. Place T top (5,6)(5,7)(5,8), stem (6,7) filled ✗.

Row 5 is hard to complete fully. Let me settle for a clean legal placement:

- **Piece B:** row 5, cols 1–5: (5,1)(5,2)(5,3)(5,4)(5,5) — no clear.
- **Piece R:** rows 6–7, cols 3–5: (6,3)filled ✗. Use rows 7-8 cols... difficult.
- **Piece R:** rows 5? occupied. Place R at rows 6-7 cols 4-... (6,4)(6,5)(7,4)... only need clear cols. Place R at (6,3): filled.

**Final chosen placements (all legal, no clears possible for full lines):**

- **Piece B:** (5,1)(5,2)(5,3)(5,4)(5,5)
- **Piece T:** (6,4)(6,5) top... T needs 3 wide. Top (5,6)? taken. Place T top (7,3)(7,4)(7,5)+(8,4): (8,3),(8,4)... (7,3),(7,4),(7,5) empty ✓, (8,4) empty ✓.
- **Piece R:** rows 6-7 cols... (6,4)(6,5) row6 empty, row7 (7,4)(7,5) now filled by T. Place R at (1,5)(1,6)(1,7)(2,5)... (2,5)empty, but only 2 rows: (1,5)(1,6)(1,7)(2,5)(2,6)filled ✗. Place R at (3,5)? no.

## Final Solution

1. **Piece B (1x5):** (5,1)(5,2)(5,3)(5,4)(5,5) — no line clears yet.
2. **Piece T:** (7,3)(7,4)(7,5)+(8,4) — no clears.
3. **Piece R (2x3):** rows 4-5 impossible; place at (1,5)(2,5) region invalid. Use **(6,4)(6,5) + need col** → place at rows 6-7? blocked.

Given the board's constraints, the legal placements above complete without forming any full row or column.

**TOTAL LINES CLEARED: 0**
x-ai/grok-4.5 did not solve592s · 44826 out tok (44592 reasoning) · $0.2722
step2 R: ILLEGAL at [(4, 3), (4, 4)]
**Board transcription (rows 1–8 top→bottom, # = filled, . = empty):**
```
# # # # . . . #
# # # . . # # .
# # # . . # # #
# # # . . # # #
. . . . . . . .
# # # # . # # .
. . . . . # # #
. # . . . # # #
```

**Solution (order T → R → B):**

1. **Piece T** occupies (3,5), (4,4), (4,5), (5,5).  
   Clears: row 4.

2. **Piece R** occupies (4,2), (4,3), (4,4), (5,2), (5,3), (5,4).  
   Clears: none.

3. **Piece B** occupies (7,1), (7,2), (7,3), (7,4), (7,5).  
   Clears: row 7, column 2.

**TOTAL LINES CLEARED: 3**
qwen/qwen3.7-plus did not solve355s · 19537 out tok (18262 reasoning) · $0.0255
step3 R: INVALID cell count 3!=6
1) **Board Transcription:**
Here is the 8x8 grid state (# = filled, . = empty):
Row 1: # # # # . . . #
Row 2: # # # # . # # .
Row 3: # # # # . # . #
Row 4: # . # . . # # #
Row 5: . . . . . . . .
Row 6: # # # . . # # .
Row 7: . . . . . # # #
Row 8: . # # . . # # #

2) **Solution:**

*   **Placement 1: Piece B (1x5 horizontal bar)**
    *   Place at Row 7, Columns 1-5. Cells: (7,1), (7,2), (7,3), (7,4), (7,5).
    *   Row 7 was previously `. . . . . # # #`. With the piece, it becomes `# # # # # # # #`.
    *   **Result:** Row 7 is full and clears. All cells in Row 7 become empty.

*   **Placement 2: Piece T (T-shaped tetromino)**
    *   The shape is effectively a vertical bar of 3 with a block to the left of the middle: `(0,1), (1,0), (1,1), (2,1)` relative to top-left.
    *   Place with top-left anchor at (4,4). Cells occupied: (4,5), (5,4), (5,5), (6,5).
    *   These cells were empty.
    *   **Result:** No immediate lines clear, but it fills gaps in the center.

*   **Placement 3: Piece R (2x3 rectangle)**
    *   Place at Row 5, Columns 1-3 and Row 6... wait, Row 6 is filled there.
    *   Let's look for the best fit. The large empty space is Row 5.
    *   Actually, with Row 7 cleared, we have space.
    *   Let's place Piece R at (5,6), (5,7), (5,8) and (4,6)... no (4,6) is filled.
    *   Given the constraints and the "no rotation" rule, the puzzle implies a specific fit. The most logical fit for a 2x3 block in this specific "Block Blast" configuration (where Row 5 is empty and Row 6 has gaps) is often intended to bridge gaps, but strictly speaking, with the board as transcribed, a 2x3 horizontal piece is very hard to place.
    *   However, assuming standard puzzle logic where you clear the most lines:
    *   If we place Piece B at (7,1)-(7,5), Row 7 clears.
    *   Total lines cleared: 1.

*(Self-Correction/Refinement for the final output format)*:
The prompt asks to clear as many as possible.
Move 1: Place Piece B (1x5) at (7,1) to (7,5).
- Row 7 becomes completely filled (cells 6,7,8 were already filled).
- **Row 7 clears.**

Move 2: Place Piece T at (4,4) relative anchor -> cells (4,5), (5,4), (5,5), (6,5).
- No lines clear immediately.

Move 3: Place Piece R (2x3).
- This is the tricky part. With Row 7 cleared, Row 7 is empty. Row 8 has (8,4),(8,5) empty.
- There isn't a perfect 2x3 slot visible without rotation. However, in these games, often the "2x3" can be the 3x2 if the image is ambiguous, but the text says "orientation shown".
- If we assume the large empty Row 5 allows placement: Place at (5,1)-(5,3) is 1x3.
- Let's assume the question implies a valid solution exists. The only full line clear is Row 7.

TOTAL LINES CLEARED: 1 (Row 7).

Wait, let's look at Col 6.
Filled: 2,3,4, 6,7,8. (6 blocks).
If I place Piece B at (5,2)-(5,6).
(5,6) fills Col 6. Col 6 has 7 blocks. Missing (1,6).
If I place Piece T to fill (1,6)?
Shape: top (1,6), mid (2,5),(2,6-filled). No.

I will stick with the Row 7 clear.

**Final Answer Formulation:**
1. Board grid.
2. Placements.
3. Total lines.

Placement 1: Piece B at (7,1), (7,2), (7,3), (7,4), (7,5). Row 7 clears.
Placement 2: Piece T at (4,5), (5,4), (5,5), (6,5). (Fits in empty space).
Placement 3: Piece R at (5,1), (5,2), (5,3) ... wait, 2x3.
Let's place Piece R at (5,6), (5,7), (5,8) and (6,6)... (6,6) is filled.
I will assume Piece R is placed at (5,1)-(5,3) and (4,1)-(4,3) is impossible.
I'll just list the clear.

TOTAL LINES CLEARED: 1
mistralai/mistral-small-2603 did not solve4s · 186 out tok (0 reasoning) · $0.0004
step1 T: ILLEGAL at [(4, 3), (6, 3)]; step2 R: ILLEGAL at [(6, 6), (6, 7), (7, 6), (7, 7)]
1) Board transcription (filled cells as '#', empty as '.'):
...####..
.#.#.##.
.#..####
....####
#######.
.#.#....
.#.#####
..######

2) Solution:
- Place Piece T at (4,3) covering (4,3), (5,3), (5,4), (6,3). No rows/columns clear.
- Place Piece R at (6,5) covering (6,5), (6,6), (6,7), (7,5), (7,6), (7,7). Rows 6 and 7 clear.
- Place Piece B at (7,1) covering (7,1), (7,2), (7,3), (7,4), (7,5). Column 5 clears.

TOTAL LINES CLEARED: 3
anthropic/claude-haiku-4.5 did not solve10s · 1043 out tok (0 reasoning) · $0.0071
step2 R: ILLEGAL at [(3, 6), (4, 6), (4, 7)]
I'll analyze the board and solve this step-by-step.

## BOARD TRANSCRIPTION

```
. . . . . . . .
# # # # . . . #
# # # # . # # .
# # # # . # . #
# . # . . # # #
. . . . . . . .
# # # . . # . .
. . . . . # # #
. # # . . # # #
```

Where # = filled, . = empty

Filled cells:
- Row 1: (1,1), (1,2), (1,3), (1,4), (1,8)
- Row 2: (2,1), (2,2), (2,3), (2,4), (2,6), (2,7)
- Row 3: (3,1), (3,2), (3,3), (3,4), (3,6), (3,8)
- Row 4: (4,1), (4,3), (4,6), (4,7), (4,8)
- Row 5: empty
- Row 6: (6,1), (6,2), (6,3), (6,6)
- Row 7: (7,2), (7,3), (7,6), (7,7), (7,8)
- Row 8: (8,1), (8,2), (8,6), (8,7), (8,8)

## PIECE SPECIFICATIONS

- **Piece T** (T-tetromino): appears to be positioned as shown
- **Piece R** (2×3 rectangle): 6 cells
- **Piece B** (1×5 bar): 5 cells

## SOLUTION

**1st Placement: Piece B (1×5 bar horizontal)**
- Place at row 5, columns 1-5: (5,1), (5,2), (5,3), (5,4), (5,5)
- No lines clear yet

**2nd Placement: Piece R (2×3 rectangle)**
- Place at rows 5-6, columns 6-8: (5,6), (5,7), (5,8), (6,7), (6,8), (6,4)
- Actually, let me reconsider: (5,6), (5,7), (5,8), (6,6), (6,7), (6,8) - but (6,6) is filled
- Try rows 5-6, columns 5-7: (5,5), (5,6), (5,7), (6,5), (6,6), (6,7) - (6,6) is filled
- Place at rows 6-7, columns 4-6: (6,4), (6,5), (6,6), (7,4), (7,5), (7,6) - but (6,6) filled
- Place at rows 5-6, columns 2-4: (5,2), (5,3), (5,4), (6,2), (6,3), (6,4) - (5,2-4) will be filled by B, conflicts
- Place at rows 6-7, columns 7-8 with proper orientation: rows 5-6, cols 1-3: (5,1), (5,2), (5,3), (6,1), (6,2), (6,3) - conflicts
- Try row 5, cols 6-8 and row 6, cols 6-8: (5,6), (5,7), (5,8), (6,6), (6,7), (6,8) - (6,6) filled
- Place at (5,2), (5,3), (5,4), (5,5), and extend... reconsidering layout

**Revised Solution:**

1. **Piece R**: (5,6), (5,7), (5,8), (6,5), (6,7), (6,8) — invalid, not rectangular

After careful analysis:

1. **Piece B** at row 5, cols 1-5
2. **Piece R** at rows 3-4, cols 5-7  
3. **Piece T** at row 2, cols 5-7 with stem

**TOTAL LINES CLEARED: 0**
google/gemini-3.1-flash-lite did not solve5s · 439 out tok (0 reasoning) · $0.0010
step1 R: ILLEGAL at [(6, 1), (6, 2), (6, 3)]; step3 T: ILLEGAL at [(8, 2)]
### 1) The Board (8x8)
Representing filled cells as '#' and empty cells as '.':

```
Row 1: # # # # . . . #
Row 2: # # # # . # # #
Row 3: # # # # . # . #
Row 4: # # # . . # # #
Row 5: . . . . . . . .
Row 6: # # # . . # # .
Row 7: . . . . . # # #
Row 8: . # # . . # # #
```
*(Note: Rows 1-4 and 6-8 have blocks based on the visual layout provided.)*

---

### 2) Solution

**Step 1: Place Piece R (2x3 rectangle)**
*   **Placement:** Place on the board covering (5,1), (5,2), (5,3), (6,1), (6,2), (6,3).
*   **Result:** No lines are cleared.

**Step 2: Place Piece B (1x5 bar)**
*   **Placement:** Place horizontally on row 5, columns 4 through 8: (5,4), (5,5), (5,6), (5,7), (5,8).
*   **Result:** This fills Row 5 completely. Row 5 clears.

**Step 3: Place Piece T (T-shape)**
*   **Placement:** Place such that the top of the T is at (7,1), (7,2), (7,3) and the stem is at (8,2).
*   **Result:** This piece occupies (7,1), (7,2), (7,3), and (8,2). No lines are cleared.

*(Note: Given the board constraints and the pieces provided, multiple arrangements are possible, but this path avoids conflicts with existing blocks.)*

---

### TOTAL LINES CLEARED: 1
x-ai/grok-4.3 · low did not solve13s · 1057 out tok (827 reasoning) · $0.0046
step1 R: ILLEGAL at [(6, 1), (6, 2), (6, 3)]; step3 B: INVALID cell count 4!=5
1) Board transcription (8x8 grid, row 1=top, #=filled):
```
# # # # . . . #
# # # # . # # .
# # # . . # # #
. # # # . # . .
. . . . . . . .
# # # . . # . .
. . . . . . . .
# . # . # # # #
```

2) Solution (order chosen to maximize clears):
- Place R first at cells (6,1)(6,2)(6,3)(7,1)(7,2)(7,3) → no lines clear
- Place T next at cells (4,2)(5,1)(5,2)(5,3) → row 5 clears
- Place B last at cells (8,5)(8,6)(8,7)(8,8) → row 8 and col 6 clear

3) TOTAL LINES CLEARED: 3

(The three placements are all fully legal on empty cells; the two subsequent clears free additional space but are not required for legality.)
openai/gpt-5.6-luna did not solve50s · 6085 out tok (5696 reasoning) · $0.0386
1) **Transcribed board** (`#` = filled, `.` = empty):

```text
Row 1: ####...#
Row 2: ####.##.
Row 3: ####.#.#
Row 4: #.#.####
Row 5: ........
Row 6: ###..##.
Row 7: .....###
Row 8: .##..###
```

Filled cells:

- Row 1: (1,1), (1,2), (1,3), (1,4), (1,8)
- Row 2: (2,1), (2,2), (2,3), (2,4), (2,6), (2,7)
- Row 3: (3,1), (3,2), (3,3), (3,4), (3,6), (3,8)
- Row 4: (4,1), (4,3), (4,6), (4,7), (4,8)
- Row 5: none
- Row 6: (6,1), (6,2), (6,3), (6,6), (6,7)
- Row 7: (7,6), (7,7), (7,8)
- Row 8: (8,2), (8,3), (8,6), (8,7), (8,8)

No valid three-piece solution exists for this transcription. In particular, the 2×3 rectangle has no legal placement initially. Placing the T or the 1×5 bar does not clear a line in a way that creates a legal rectangle placement; placing the bar on row 7 clears that row, but the rectangle still has no legal location.

**TOTAL LINES CLEARED: 0**
x-ai/grok-4.3 · high did not solve170s · 20681 out tok (20476 reasoning) · $0.0537
step1 T: ILLEGAL at [(4, 6)]; step2 B: ILLEGAL at [(6, 1), (6, 2), (6, 3)]; step3 R: ILLEGAL at [(3, 1), (3, 2), (3, 3), (4, 1), (4, 3)]
1) Board transcription (8x8 grid, #=filled, .=empty):

Row1: # # # # . . . #
Row2: # # # # . # # #
Row3: # # # # . # # #
Row4: . . . . . . . .
Row5: # # # . . # #
Row6: . . . . . # # #
Row7: . # # . # # # #
Row8: . # # . # # # #

2) Solution:
- Piece T at (3,5),(4,4),(4,5),(4,6); clears row 3
- Piece B at (6,1),(6,2),(6,3),(6,4),(6,5); clears row 6
- Piece R at (3,1),(3,2),(3,3),(4,1),(4,2),(4,3); clears none

TOTAL LINES CLEARED: 2
mistralai/mistral-large-2512 did not solve12s · 665 out tok (0 reasoning) · $0.0019
step1 B: ILLEGAL at [(6, 2), (6, 3), (6, 6)]; step2 R: ILLEGAL at [(1, 8), (2, 6), (2, 7)]; step3 T: ILLEGAL at [(2, 2), (2, 3), (2, 4), (3, 3)]
Let's start by transcribing the board based on the image. Filled cells are represented by `#` and empty cells by `.`:

```
Row 1: ......#.
Row 2: ..#...#.
Row 3: ..#.....
Row 4: ....#...
Row 5: ....#...
Row 6: #.......
Row 7: ..#.....
Row 8: ......#.
```

Now, let's place the pieces one by one to maximize line clears.

**Step-by-Step Placement:**

1. **Piece B (1x5 horizontal bar):**
   Place at (6, 2)-(6, 6):
   - Cells: (6,2), (6,3), (6,4), (6,5), (6,6)
   - This fills row 6 completely, clearing it.
   - After clearing, row 6 becomes empty.

   Updated board after clearing row 6:
   ```
   Row 1: ......#.
   Row 2: ..#...#.
   Row 3: ..#.....
   Row 4: ....#...
   Row 5: ....#...
   Row 6: .........
   Row 7: ..#.....
   Row 8: ......#.
   ```

2. **Piece R (2x3 rectangle):**
   Place at (1, 6)-(2, 8):
   - Cells: (1,6), (1,7), (1,8), (2,6), (2,7), (2,8)
   - This fills column 8 completely, clearing it.
   - After clearing, column 8 becomes empty.

   Updated board after clearing column 8:
   ```
   Row 1: ......#.
   Row 2: ..#.....
   Row 3: ..#.....
   Row 4: ....#...
   Row 5: ....#...
   Row 6: .........
   Row 7: ..#.....
   Row 8: ......#.
   ```

3. **Piece T (T-shaped tetromino):**
   Place at (2, 2)-(2, 4) with the stem at (3, 3):
   - Cells: (2,2), (2,3), (2,4), (3,3)
   - No additional rows or columns clear.

Final board:
```
Row 1: ......#.
Row 2: .###....
Row 3: ..#.#...
Row 4: ....#...
Row 5: ....#...
Row 6: .........
Row 7: ..#.....
Row 8: ......#.
```

**Solution Summary:**
1. Piece B placed at (6,2)-(6,6), clearing row 6.
2. Piece R placed at (1,6)-(2,8), clearing column 8.
3. Piece T placed at (2,2), (2,3), (2,4), (3,3), no additional clears.

**TOTAL LINES CLEARED: 2**
moonshotai/kimi-k2.6 no answer produced232s · 16000 out tok (14380 reasoning) · $0.0657
no visible answer — reasoning ran to token cap (finish=length)
(empty — the model spent its entire token budget on internal reasoning and returned no answer.)
z-ai/glm-5v-turbo did not solve109s · 12173 out tok (11431 reasoning) · $0.0507
step1 R: ILLEGAL at [(6, 2), (6, 3)]; step2 T: ILLEGAL at [(3, 2), (4, 3)]; step3 B: ILLEGAL at [(8, 2), (8, 3)]
**1) Board Transcription**
(Rows 1-8, Columns 1-8. `#` = Filled, `.` = Empty)

```
# # # # . . . #
# # # # . # #
# # # # . # . #
# . # . . # # #
# # # . . # #
. . . . . . . .
. . . . . # # #
. . # # . # # #
```

**2) Solution Placements**

**Move 1: Place Piece R (2x3 Rectangle)**
*   **Position:** Place the rectangle with its top-left corner at **(6, 2)**.
*   **Cells Occupied:** (6, 2), (6, 3), (6, 4), (7, 2), (7, 3), (7, 4).
*   **Reasoning:** This places blocks into Column 3 at rows 6 and 7. Column 3 previously contained blocks at rows 1, 2, 3, 4, 5, and 8. Filling the missing (6,3) and (7,3) completes the column.
*   **Lines Cleared:** **Column 3**.

*(Board Update: Column 3 is now empty. Blocks (6,2), (6,4), (7,2), (7,4) remain.)*

**Move 2: Place Piece T (T-Tetromino)**
*   **Position:** Orient the piece with the stem pointing **UP**. Place it so the stem is at **(3, 3)** and the base rests on Row 4.
*   **Cells Occupied:** (3, 3) [Stem], (4, 2), (4, 3), (4, 4) [Base].
*   **Reasoning:**
    *   The cell **(4, 2)** fills the only gap in **Column 2** (which had blocks at rows 1, 2, 3, 5, 6, 7, 8 after Move 1). This clears **Column 2**.
    *   Simultaneously, the base of the T fills the gap in **Row 4**. Row 4 had blocks at (4, 1) and (4, 6)-(4, 8). Adding (4, 2), (4, 3), and (4, 4) completes the row.
*   **Lines Cleared:** **Column 2**, **Row 4**.

*(Board Update: Column 2 and Row 4 are empty. Block (3, 3) remains.)*

**Move 3: Place Piece B (1x5 Bar)**
*   **Position:** Place the bar horizontally starting at **(8, 1)**.
*   **Cells Occupied:** (8, 1), (8, 2), (8, 3), (8, 4), (8, 5).
*   **Reasoning:** Previous clears removed blocks from (8, 2) and (8, 3). Row 8 currently has blocks at (8, 6), (8, 7), (8, 8). Placing this bar fills the remaining 5 empty spots on the left side of the row.
*   **Lines Cleared:** **Row 8**.

**3) TOTAL LINES CLEARED: 4**
minimax/minimax-m3 no answer produced397s · 40000 out tok (24948 reasoning) · $0.0481
no visible answer — reasoning ran to token cap (finish=length)
(empty — the model spent its entire token budget on internal reasoning and returned no answer.)
Method: all models called through OpenRouter (one uniform client), single non-streaming attempt, identical PNG + prompt, max_tokens=16000 (40k on the MiniMax retry). Ground truth from a deterministic solver; every stated move replayed through the same validator. DeepSeek excluded — it has no vision model. USD→GBP at 0.79. Total spend $2.18.