TETRIO / SOLO / BLITZ

DPC coverage.
Every saved piece.

Ranked by PC rate, additional T-spin opportunity, Tetris opportunity, then available source score. Full audit and fumen solves below.

How the loop fits together

Five seven-piece bags contain 35 tetrominoes: 140 cells, or 14 complete rows. A successful loop ends on an empty board at the next bag boundary. HOLD and the saved piece are part of that accounting.

Bag 11–7 · SDPC T-spin single

Bag 28–14 · T-spin double

Bag 315–21 · PC + saved piece

Bag 422–28 · DPC setup

Bag 529–35 · DPC finish

SDPC clears eight lines using 20 placed pieces, leaving the 21st piece for DPC. DPC uses that saved piece plus the following two bags: 15 pieces clear six more lines, typically through a T-spin double followed by a perfect clear. A documented SDPC recovery may place the extra piece first and enter a matching recovery-DPC residue instead.

The other common entry is a four-line first PC followed by a four-line second PC. Together they use 20 pieces and reach the same one-piece-leftover boundary. An empty board alone does not establish the correct bag position: track actual pieces consumed and HOLD.

Coverage here describes the cited catalogue, not guaranteed TETR.IO execution. J/L coverage remains incomplete in the audited entries. SPC alternatives are labelled separately.

Sources: DPC Aid Data/Cover and DPC score summary.

Ranking: PC solve rate, additional T-spin opportunity in the PC solve, Tetris opportunity, then available catalogue score. These are opportunities from the solve matrix, not guaranteed scores or independent probabilities. Mandatory setup spins are excluded from the extra-spin percentage.

Exact cardinality search over the 91 oriented entries in DPC Aid. Setup universe: 2,520 HOLD-equivalent queue classes, expanding to all 5,040 permutations by swapping the first two pieces. Setup and solve bags are different universes: a 100% setup union is accepted here only using entries whose printed PC rate and solve-matrix union both equal 100%. This is a source-data result, not an independently verified TETR.IO route guarantee. Scores use source assumptions, including Jstris 180 rotations; no native engine validation was performed.

There are conflicting percentages and stale fumen lists in the source. Solve category positions use Data M:Y; T-04's missing combined list uses Cover's explicit solution list. Unknown/contradictory entries are not promoted to guaranteed coverage. The score summary has additional setups without a matching queue matrix; therefore the minimum below is not a global minimum over every DPC ever published.

Saved O

Smallest oriented set

Priority	Setup diagram	Extra-spin opportunity	Tetris opportunity	New queue classes	Cumulative setup cover
1	O-02 TSD · Solve fumens	75.1984%	0.0000%	1680	1680/2520 (66.6667%)
2	O-01 Quad · Solve fumens	0.0000%	86.6667%	840	2520/2520 (100.0000%)

Smallest set retaining the top-ranked entry

Priority	Setup diagram	Extra-spin opportunity	Tetris opportunity	New queue classes	Cumulative setup cover
1	O-05 Butter · Solve fumens	96.6667%	0.0000%	940	940/2520 (37.3016%)
2	O-02 TSD · Solve fumens	75.1984%	0.0000%	818	1758/2520 (69.7619%)
3	O-01 Quad · Solve fumens	0.0000%	86.6667%	762	2520/2520 (100.0000%)

Ranked eligible entries

Saved I

Smallest oriented set

Priority	Setup diagram	Extra-spin opportunity	Tetris opportunity	New queue classes	Cumulative setup cover
1	I-05 Big J · Solve fumens	0.0000%	93.3333%	1092	1092/2520 (43.3333%)
2	I-05M Big L · Solve fumens	0.0000%	93.3333%	672	1764/2520 (70.0000%)
3	I-12 Shifted TKI · Solve fumens	0.0000%	0.0000%	665	2429/2520 (96.3889%)
4	I-12M Shifted TKI · Solve fumens	0.0000%	0.0000%	91	2520/2520 (100.0000%)

Smallest set retaining the top-ranked entry

Priority	Setup diagram	Extra-spin opportunity	Tetris opportunity	New queue classes	Cumulative setup cover
1	I-06 TSD · Solve fumens	75.1984%	0.0000%	655	655/2520 (25.9921%)
2	I-05 Big J · Solve fumens	0.0000%	93.3333%	688	1343/2520 (53.2937%)
3	I-05M Big L · Solve fumens	0.0000%	93.3333%	505	1848/2520 (73.3333%)
4	I-12 Shifted TKI · Solve fumens	0.0000%	0.0000%	596	2444/2520 (96.9841%)
5	I-12M Shifted TKI · Solve fumens	0.0000%	0.0000%	76	2520/2520 (100.0000%)

Ranked eligible entries

Saved S

Smallest oriented set

Priority	Setup diagram	Extra-spin opportunity	Tetris opportunity	New queue classes	Cumulative setup cover
1	S-01 TSD · Solve fumens	75.1984%	0.0000%	1680	1680/2520 (66.6667%)
2	S-03 Lime · Solve fumens	16.6667%	0.0000%	840	2520/2520 (100.0000%)

Smallest set retaining the top-ranked entry

Priority	Setup diagram	Extra-spin opportunity	Tetris opportunity	New queue classes	Cumulative setup cover
1	S-04 Alt TKI · Solve fumens	94.4444%	0.0000%	924	924/2520 (36.6667%)
2	S-01 TSD · Solve fumens	75.1984%	0.0000%	1092	2016/2520 (80.0000%)
3	S-03 Lime · Solve fumens	16.6667%	0.0000%	504	2520/2520 (100.0000%)

Ranked eligible entries

Saved Z

Smallest oriented set

Priority	Setup diagram	Extra-spin opportunity	Tetris opportunity	New queue classes	Cumulative setup cover
1	Z-01 TSD · Solve fumens	75.1984%	0.0000%	1680	1680/2520 (66.6667%)
2	Z-03 Angry Lime · Solve fumens	16.6667%	0.0000%	840	2520/2520 (100.0000%)

Smallest set retaining the top-ranked entry

Priority	Setup diagram	Extra-spin opportunity	Tetris opportunity	New queue classes	Cumulative setup cover
1	Z-04 Alt TKI · Solve fumens	94.4444%	0.0000%	1074	1074/2520 (42.6190%)
2	Z-01 TSD · Solve fumens	75.1984%	0.0000%	1032	2106/2520 (83.5714%)
3	Z-03 Angry Lime · Solve fumens	16.6667%	0.0000%	414	2520/2520 (100.0000%)

Ranked eligible entries

Saved J

Smallest oriented set

No 100% proof: eligible setup union 2382/2520 (94.5238%).

Smallest set retaining the top-ranked entry

No 100% proof: eligible setup union 2382/2520 (94.5238%).

Ranked eligible entries

Saved L

Smallest oriented set

No 100% proof: eligible setup union 2382/2520 (94.5238%).

Smallest set retaining the top-ranked entry

No 100% proof: eligible setup union 2382/2520 (94.5238%).

Ranked eligible entries

Saved T

Smallest oriented set

Priority	Setup diagram	Extra-spin opportunity	Tetris opportunity	New queue classes	Cumulative setup cover
1	T-01 100% SPC · Solve fumens	0.0000%	0.0000%	2520	2520/2520 (100.0000%)

Smallest set retaining the top-ranked entry

Priority	Setup diagram	Extra-spin opportunity	Tetris opportunity	New queue classes	Cumulative setup cover
1	T-02 SPC · Solve fumens	90.1984%	0.0000%	1680	1680/2520 (66.6667%)
2	T-01 100% SPC · Solve fumens	0.0000%	0.0000%	840	2520/2520 (100.0000%)

Ranked eligible entries

Interpretation

M means a mirror and counts as a separate oriented entry above. T-01 is an SPC, not a TSD-based DPC: its one-setup result is only applicable if SPC fallback is allowed. Requiring the highest extra-spin entry can increase the minimum. A fallback covers the union of all previously uncovered cases, not merely the immediately preceding setup's failures.

J/L: 138/2520 setup classes remain without an uncontradicted 100%-PC option in this dataset. Less reliable setups cannot be silently called 100%; unrestricted skim/SPC recoveries from the score sheet require separate route/coverage validation.

Reproduce

Run analyse.py and report.py beside source-data.json and cover-catalogue.json. analysis.json contains all metrics and minima; J/L-uncovered.json contain the uncovered queue witnesses. Exhaustive set-size search gives minimum cardinality; ranking breaks ties lexicographically. Printed source percentages are retained for comparison.

Solve fumen library

Each setup below includes the source’s PC solve diagrams, grouped as cover solves, Tetrises and additional T-spins. Where available, a separate source placement-sequence fumen provides step-through pages. These are published examples, not independently route-verified solutions for every queue. Use a solve compatible with your actual queue and HOLD. Missing data is marked explicitly.

O-01 Quad — solve fumens

DPC coverage.Every saved piece.

How the loop fits together

Saved O

Smallest oriented set

Smallest set retaining the top-ranked entry

Saved I

Smallest oriented set

Smallest set retaining the top-ranked entry

Saved S

Smallest oriented set

Smallest set retaining the top-ranked entry

Saved Z

Smallest oriented set

Smallest set retaining the top-ranked entry

Saved J

Smallest oriented set

Smallest set retaining the top-ranked entry

Saved L

Smallest oriented set

Smallest set retaining the top-ranked entry

Saved T

Smallest oriented set

Smallest set retaining the top-ranked entry

Interpretation

Reproduce

Solve fumen library

Cover solves

Tetris solves

Cover solves

Tetris solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Tetris solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Tetris solves

Cover solves

Additional T-spin solves

Cover solves

Cover solves

Additional T-spin solves

Cover solves

Tetris solves

Cover solves

Additional T-spin solves

Cover solves

Additional T-spin solves

Cover solves

Tetris solves

Cover solves

Additional T-spin solves

Cover solves

DPC coverage.
Every saved piece.