Second PC setups and solves

LLLITTTSSX LZJIXTSSXX ZZJIXXXXXX ZJJIXXXXXX JJJIZZTTTX OOJIXZZTXX OOLIXXXXXX LLLIXXXXXX LLLITTTSSX LOOIXTSSXX JOOIXXXXXX JJJIXXXXXX IJJJZZTTTX ILSJXZZTXX ILSSXXXXXX ILLSXXXXXX JJLLTTTSSX JOOLXTSSXX JOOLXXXXXX IIIIXXXXXX JJLLZZTTTX JOOLXZZTXX JOOLXXXXXX IIIIXXXXXX LLLITTTSSX JJJIXTSSXX ZZJIXXXXXX LZZIXXXXXX JJLIZZTTTX LLLIXZZTXX JOOIXXXXXX JOOIXXXXXX LLLJTTTSSX LZZJXTSSXX OOZZXXXXXX OOJJXXXXXX

The last solve requires a 180° J spin (L spin in the mirror), and is applicable to queues like [OSZ]![IJL]!T (with I kept in hold). Otherwise, for other queues, one of the other eight solves will be applicable, without needing 180° spins. The solves shown here cover every queue, but there are many more useful solves by building the IJLO/IJLS/IJLZ box differently.

For the JLS/JLZ 3×4 box solutions, do keep in mind when pieces can be tucked in and when they can't. For example, in the first solution, the J piece can be tucked under the Z piece as long as neither of L and I have been placed yet; if L has been placed but I hasn't, it's still possible to 180°-spin the J piece in. The 180° spin does not work on the fourth solution, as the L piece is blocked by the wall.

JJLLIZZTTT JOOLIXZZTX JOOLIXXXXX XXXXIXXXXX JJLLITTTSS JOOLIXTSSX JOOLIXXXXX XXXXIXXXXX JJSSIZZTTT JSSLIXZZTX JLLLIXXXXX XXXXIXXXXX LOOJITTTSS LOOJIXTSSX LLJJIXXXXX XXXXIXXXXX LOOJIZZTTT LOOJIXZZTX LLJJIXXXXX XXXXIXXXXX LLLJIZZTTT LSSJIXZZTX SSJJIXXXXX XXXXIXXXXX

The smallest covering sets have just two solutions: pick either of the first two, and any of the next three solves listed above. (E.g. with the first and third solves, the I, J, T, Z pieces all have fixed placements.)

The two save-O solves above are 100% tetris chance if O or I is last, and likewise for the two save-S solves and the two save-Z solves.

These additional solves increase save-O chance slightly when the last piece is J, L or T (so tetris PC is impossible anyway and saving O should be prioritised).

ZZLLITTTSS JZZLIXTSSX JJJLIXXXXX XXXXIXXXXX LJJJITTTSS LZZJIXTSSX LLZZIXXXXX XXXXIXXXXX

With all eight solves, there is a 2/7 = 28.57% chance of save-O tetris, 2/7 = 28.57% chance of save-S/Z tetris, 1782/5040 = 35.36% chance of save-O no tetris, 378/5040 = 7.50% chance of save-S/Z no tetris.

IIIILTTTSS JJLLLXTSSX JOOOOXXXXX JOOOOXXXXX JIIIITTTSS JJJLLXTSSX OOOOLXXXXX OOOOLXXXXX JIIIITTTSS JJJOOXTSSX OOLLLXXXXX OOLOOXXXXX IIIILTTTSS ZZLLLXTSSX JZZOOXXXXX JJJOOXXXXX ILLOOTTTSS IJJOOXTSSX IJLOOXXXXX IJLOOXXXXX IJJOOZZTTT ILLOOXZZTX IJLOOXXXXX IJLOOXXXXX ILLLJTTTSS ILZZJXTSSX IOOZZXXXXX IOOJJXXXXX

As with the tub + vertical I setup, the last solve here requires a 180° spin, but the dependencies are more complicated. The seven solutions here cover every queue and always save O, S or Z. Many more save-O solutions are needed to attain >85% save-O rates.

TTT____XOO XTX____XOO XXX____XXX XXX____XXX

Minimal covering set is quite large, but the solves are all just IJLS/IJLZ boxes. Skimming may be required.

XTTTLOOJJJ XXTXLOOSSJ XXXXLLSSXX XXXXIIIIXX XTTTLLLJJJ XXTXLZZSSJ XXXXOOSSXX XXXXOOZZXX XTTTLLLJJJ XXTXLZZSSJ XXXXOOZZXX XXXXOOSSXX

If the O is next to the blank space, these are the additional solutions. Save Z, I, I, respectively.

IOOTZZLLJJ IOOTTZZLJX IXXTXXXLJX IXXXXXXXXX IOOJJSSTTT IOOJSSZZTX IXXJXXXZZX IXXXXXXXXX

The two solves (save S and save L, respectively) are essentially the same between the free and blocked variants, but have slightly different dependencies. In the blocked variant (as pictured), the first solution can be used iff T isn't last among OTSZ; in the free variants, the first solution can be used iff T isn't last among ITSZ. For JOTZ/LOTS 2nd, by keeping the O piece in hold, it's possible to slightly increase save-S chance from 75% to 80% by choosing which variant to build based on the queue.

Also note that in the blocked variant, it's possible to get a t-spin null or t-spin single with the first solution (the blockage is what provides the third corner for the t-spin 3-corner rule), which isn't the case for the free variants.

ZZLLJJTOOI XZZLJTTOOI XXXLJXTXXI XXXXXXXXXI ZZTTTLLOOI XZZTSSLOOI XXXSSXLXXI XXXXXXXXXI

The two solves (save S and save J, respectively) are essentially the same between all variants, but have slightly different dependencies. In the blocked variant (as pictured), the first solution can be used iff T isn't last among JOTS; in the free variants, the first solution can be used iff T isn't last among IJTS.

Also note that in the blocked variant, it's possible to get a t-spin null or t-spin single with the first solution (the blockage is what provides the third corner for the t-spin 3-corner rule), which isn't the case for the free variants.

IJJTTTZZLL IJXXTSSZZL IJXXSSXXXL IXXXXXXXXX IJJZZSSTLL IJXXSSTTTL IJXXZZXXXL IXXXXXXXXX LLLTTTIIII OOXXTSSJJJ OOXXSSXXXJ LXXXXXXXXX LLLZZTIIII OOXXTTTJJJ OOXXZZXXXJ LXXXXXXXXX LLLZZSSJJJ OOXXZZIIII OOXXSSXXXJ LXXXXXXXXX LLLIIIISST LZXXOOSSTT ZZXXOOXXXT ZXXXXXXXXX

The first two solutions save O and have 85.71% coverage. The other solves may be hard to recognise quickly.

IJJZZTTTSS IJXXZZTSSL IJXXXXXLLL IXXXXXXXXX IJJZZTTTLL IJXXZZTOOL IJXXXXXOOL IXXXXXXXXX

The two solves above cover every queue: if L < O, the first solve always works, while if O < L, the second solve always works. The below is an additional tetris solve. These three solves always save O, S or Z.

IJJTTTSSLL IJXXTSSOOL IJXXXXXOOL IXXXXXXXXX

JIIIISSTLL JJJXSSTTTL XXXXXXXZZL XXXXXXXXZZ OOLLLSSTTT OOLXSSZZTJ XXXXXXXZZJ XXXXXXXXJJ OOLLLTJJJI OOLXTTTSJI XXXXXXXSSI XXXXXXXXSI OOLLLTIIII OOLXTTTJJJ XXXXXXXZZJ XXXXXXXXZZ OOLLLSSJJJ OOLXSSIIII XXXXXXXZZJ XXXXXXXXZZ OOLLLTZZSS OOLXTTTZZJ XXXXXXXSSJ XXXXXXXXJJ

For the first solve (save O), as long as the L piece has not been placed yet, the Z piece can be spun in after the T piece (soft drop, clockwise, clockwise). Besides the first solve, the other five (save I, Z, S, T, I respectively) all have the same placements of the O and L pieces.

The following solve has a potential TSD. The last two pieces must be IJ, T<I or T<J for the TSD; 4/42 = 9.52% chance.

OOLLLSSJJJ OOLXSSTTTZ XXXXXXXTZZ XXXXXXXXZJ

IIIILJJSSX XXLLLJSSXX XXXOOJTXXX XXXOOTTTXX IIIILJJSSX XXLLLJSSXX XXXOOZZXXX XXXOOJZZXX IIIILSTTTX XXLLLSSTXX XXXOOJSXXX XXXOOJJJXX JJJITTTSSX XXJILTSSXX XXXILZZXXX XXXILLZZXX JJJILLLSSX XXJILZSSXX XXXIZZTXXX XXXIZTTTXX JJJOOSTTTX XXJOOSSTXX XXXLLLSXXX XXXLIIIIXX JJJLLLTTTX XXJLZOOTXX XXXZZOOXXX XXXZIIIIXX JJJIIIISSX XXJOOTTTXX XXXOOLTXXX XXXLLLSSXX JJJLLLTTTX XXJSIIIIXX XXXSSOOXXX XXXLSOOTXX

These nine solutions cover every queue and always save O, S, Z or T. The first five solves are closely related to PCO 1st PC solves and should be easy to recognise even without deliberate practice, but the others may seem somewhat unusual.

IIIISLTTTX XXZZSSJJXX XXXZZSJXXX XXXLLLJTXX IIIILZZSSX XXLLLTZZXX XXXJTTTXXX XXXJJJSSXX

Another covering set (from 🍭's sheet) is the first seven solutions, plus these two. These two solutions save O.

__________ ___X______ XXXXX_____ XXXXXXIIII

Only the main solutions with I immediately placed on the floor are shown here. The first four solutions cover every queue, while the fifth solution has potential TSS/TSD. These save S, O, Z, I, Z, respectively.

JIIIITTTLL JJJXZZTOOL XXXXXZZOOL JIIIITTTSS JJJXZZTSSL XXXXXZZLLL JIIIISSLLL JJJXSSTLOO XXXXXTTTOO OOLLLSSJJJ OOLXSSTZZJ XXXXXTTTZZ OOLLLIIIIJ OOLXTTTSSJ XXXXXTSSJJ

These are the additional solves needed to avoid saving I.

OOLLLIIIII OOLXZZJJJI XXXXXZZTJI XXXXXXTTTI OOLLLTJJJI OOLXTTTSSI XXXXXIIIII XXXXXXSSJI

These are the additional save-OSZ t-spin and tetris solves.

OOLLLTTTII OOLXZZTJII XXXXXZZJII XXXXXXJJII JIIIISSOOI JJJXSSTOOI XXXXXTTTLI XXXXXXLLLI OOLLLIIIII OOLXTTTSSI XXXXXTJJJI XXXXXXSSJI OOLLLJJJII OOLXTTTZII XXXXXTZZII XXXXXXZJII OOLLLIIIII OOLXTTTZJI XXXXXTZZJI XXXXXXZJJI

IIIIOOJJLL XXXXOOJZZL XXXXXXJTZZ XXXXXXTTTL IIIIOOTTTZ XXXXOOLTZZ XXXXXXLJJJ XXXXXXLLZJ IIIIOOTTTZ XXXXOOJJZZ XXXXXXJTZL XXXXXXJLLL IIIIOOSZZT XXXXOOSSTT XXXXXXLLLT XXXXXXLSZZ

Not a covering set, just a few solves to give the flavour of what solves look like. The majority of the solves use I and O to complete a 6×4 box, with four of the JLTSZ pieces used to form a 4×4 skim box, similar to Grace System 1st PC solves. Keep in mind that third-row skims require the O to already be placed, while second-row skims will work immediately. 180° spins may be useful (e.g. in the second solve).

The two following solutions save O and thus cannot use the O piece to complete a 6×4 box. The first one (build jaws on the other side) has a potential TSS.

IIIILLLJJJ XXXXLTTTSJ XXXXXXZZSS XXXXXXTZZS IIIILLLSSZ XXXXLTTTZZ XXXXXXTJJJ XXXXXXSSZJ

According to 🍭 2nd PC, the minimal covering set has 18 solutions. (Not included here.) Most common solutions place an I piece vertically, producing the same field as the horizontal box + O setup; the 4×4 box solutions there can be used here as well. The following is an additional solution that doesn't use vertical I.

XXXJIIIILL XXXJJJZSSL XXXXXZZTTT XXXXXZSSTL

Has a fair number of TSS solutions and one TSD solution. Below is the one TSD solve.

XXXJIIIILL XXXJJJTTTL XXXXXOOZZL XXXXXOOTZZ

Large covering set; not reproduced here. These are some sample solutions. These two Grace System solutions are the most common and save T.

XXXXLLLJJJ XXXXLZOOSJ XXXXZZOOSS XXXXZIIIIS XXXXSIIIIZ XXXXSSOOZZ XXXXJSOOZL XXXXJJJLLL

The next four solutions cover queues starting with JSZ. Most of the time, building jaws works; the fail queues for jaws are [LT]!OI, which are covered by the fourth solution below. (Incidentally, the fourth solution also has a TETR.IO-exclusive 180° TSS solve.) The first solve, together with its mirror, also cover all queues starting with OSZ. These four solutions save I, O, T, O, respectively.

XXXXLLLJJJ XXXXLTTTSJ XXXXOOZZSS XXXXOOTZZS XXXXLLLJJJ XXXXIIIISJ XXXXLTZZSS XXXXTTTZZS XXXXIOOJJJ XXXXILLLSJ XXXXILZZSS XXXXIOOZZS XXXXIIIILL XXXXZZTTTL XXXXJZZTSS XXXXJJJSSL

The next solution, its mirror, and the first Grace System solution together cover all queues starting with ISZ. Grace covers O < JL and JL < O, while the solution below covers J < O < L and its mirror covers L < O < J. All save T.

XXXXLLLOOJ XXXXSZZOOJ XXXXSSZZJJ XXXXLSIIII

Sometimes you can build PCO with a horizontal T piece. These two solutions save I and S, respectively.

XXXXOOZZLL XXXXOOTZZL XXXXJTTTSS XXXXJJJSSL XXXXOOIIII XXXXOOTZZL XXXXJTTTZZ XXXXJJJLLL

These save-O skim solves are probably useful. In the first one, the I piece can be spun in after JL are placed.

XXXXTTTZSS XXXXJJZZLL XXXXJTZSSL XXXXJIIIIL XXXXTTTZLL XXXXJJZZSS XXXXJTZSSL XXXXJIIIIL

XXLLSIIIIZ XXXLSSOOZZ XXXLJSOOZX XXXXJJJXXX XXJJJIIIIZ XXXSJLOOZZ XXXSSLOOZX XXXXSLLXXX

I haven't learnt any of the solves. I guess sometimes you can just do Grace System or freestyle something up.

Only the 6×4 part is shown here.

TTTZSS JJZZLL JTZSSL JIIIIL TTTZLL JJZZSS JTZSSL JIIIIL JJZZLL JOOZZL JOOTTT IIIITL LLLSSZ LTSSZZ TTTJJJ IIIIZJ JJJTLL OOTTTL OOJZZL IIIIZZ IJJSSZ IJSSZZ ITTTZL IJTLLL

These six solves and their mirrors cover every queue, and always save O, S or Z. In most cases, placing the I piece in the 6×4 region first will work; the sixth solve is the only one here where this can backfire (the I and S pieces block placing the T piece).

XZZJJJILOO XXZZSJILOO XXXXSSILLX XXXXXSIXXX XZZLLIJJOO XXZZLIJTOO XXXXLITTTX XXXXXIJXXX XZZIIIILLL XXZZOOJLSS XXXXOOJSSX XXXXXJJXXX XZZIIIILOO XXZZTTTLOO XXXXJJJLLX XXXXXTJXXX XZZIIIILLL XXZZTTTLSS XXXXJJJSSX XXXXXTJXXX XZZJJJILLL XXZZSJITTT XXXXSSILTX XXXXXSIXXX XTTTLLLJSS XXTIIIIJJJ XXXXLOOSSX XXXXXOOXXX XTTTSLLJJJ XXTIIIIOOJ XXXXSSLOOX XXXXXSLXXX

These eight solutions cover every queue, and always save O, S, Z or T.

XZZLLJIIII XXZZLJJJSS XXXXLOOSSX XXXXXOOXXX XZZIIIIJJJ XXZZSTTTLJ XXXXSSLLLX XXXXXSTXXX

These additional solutions are useful to know. The first one covers early OS, while the second one has a potential t-spin (late IO).

JIIIISSLLX JJJXSSZZLX XXXXXXTZZX XXXXXTTTLX OOLLLJJJIX OOLXZZSJIX XXXXXXSSIX XXXXXZZSIX OOLLLIIIIX OOLXZZTTTX XXXXXXJJJX XXXXXZZTJX OOLLLIIIIX OOLXZZJJJX XXXXXXTTTX XXXXXZZTJX OOLLLJJJIX OOLXTTTZIX XXXXXXZZIX XXXXXTZJIX OOLLLSSZJX OOLXSSZZJX XXXXXXZJJX XXXXXIIIIX

The first solve is the only one that uses IJ to complete the jaws shape. Every other solution (minimal or not) must use OL to complete it. The saves are O, T, S, S, S, T, respectively.

The two following solves have potential TSD. The saves are Z and S, respectively.

OOLLLIIIIX OOLXTTTSSX XXXXXXJJJX XXXXXTSSJX OOLLLIIIIX OOLXTTTZJX XXXXXXZZJX XXXXXTZJJX

LLLOOZZXXX LSSOOXZZXX SSJJJXXXXX IIIIJXXXXX JIIIIZZXXX JJJSSXZZXX OOSSLXXXXX OOLLLXXXXX SIIIIZZXXX SSLLLXZZXX JSLOOXXXXX JJJOOXXXXX OOJJJZZXXX OOLSJXZZXX LLLSSXXXXX IIIISXXXXX IOOLLZZXXX IOOTLXZZXX IJTTTXXXXX IJJJLXXXXX IJJOOZZXXX IJTOOXZZXX ITTTLXXXXX IJLLLXXXXX JJLLLZZXXX JIIIIXZZXX JTLOOXXXXX TTTOOXXXXX JJLLLZZXXX JTLOOXZZXX TTTOOXXXXX JIIIIXXXXX IJJLLZZXXX IJSSLXZZXX ISSTLXXXXX IJTTTXXXXX SIIIIZZXXX SSJJJXZZXX LLLTJXXXXX LSTTTXXXXX TIIIIZZXXX TTLLLXZZXX TSSOOXXXXX SSLOOXXXXX JJJSSZZXXX OOSSTXZZXX OOJTTXXXXX IIIITXXXXX IIIITZZXXX JJJTTXZZXX OOJSSXXXXX OOSSTXXXXX IIIITZZXXX OOLTTXZZXX LLLSSXXXXX OOSSTXXXXX

The first four save T, the next four save S, the next two save O, and the remainder save J/L. These fourteen solutions cover every solvable queue. The following three solutions are redundant coverage-wise, but are needed to minimise save-J/L chance.

JJJLLZZXXX IIIILXZZXX OOJTLXXXXX OOTTTXXXXX JJLLLZZXXX JIIIIXZZXX JSSOOXXXXX SSLOOXXXXX OOTLLZZXXX JTTTLXZZXX JJJSSXXXXX OOSSLXXXXX

JJILLLSSOO JTILXSSXOO TTIXXXXXXX JTIXXXXXXX LLIIIISSOO TLJJXSSXOO TTJXXXXXXX TLJXXXXXXX JJTLLLSSOO JTTLXSSXOO ZZTXXXXXXX JZZXXXXXXX

These three solves cover every solvable queue, and save Z, Z, I, respectively. All three solves have fixed O and S placements. The first two solves have 70% coverage (last non-OS piece isn't I/T, or last non-OS piece is I and second-last non-OS piece isn't L/Z).

IIIITLLLSS JJJTTLXSSX XXZZTXXXXX XXJZZXXXXX

If the setup uses an O piece and it can be placed on the opposite side, then there's an additional save-O solve. This does not increase coverage; it's just to save I less often.

XX________ XXX_______ XXX_____XX XXXX____XX

blah blah blah

XXIIIILLOO XXXSTTTLOO XXXSSZZLXX XXXXSTZZXX

If T isn't last, most of the time you can extend the hill into a box and do a PCO-like solve in the remaining area.

XXXLL_____ XXXXL_____ XXXXL_____ XXXXX_____ XXXJJJ____ XXXXSJ____ XXXXSS____ XXXXXS____ XXXIIII___ XXXXOOJ___ XXXXOOJ___ XXXXXJJ___ XXXIIII___ XXXXLLL___ XXXXLOO___ XXXXXOO___ XXXIIII___ XXXXJJJ___ XXXXZZJ___ XXXXXZZ___ XXXIIII___ XXXXSLL___ XXXXSSL___ XXXXXSL___

If T is last, these seven solves cover the 360 solvable queues.

XXXZZSSTTT XXXXZZOOLL XXXXSSOOTL XXXXXIIIIL XXXTTTZJJJ XXXXTZZSSJ XXXXIIIIOO XXXXXZSSOO XXXTTTZZLL XXXXTOOZZL XXXXIIIISS XXXXXOOSSL XXXTTTSSOO XXXXTSSJOO XXXXZZIIII XXXXXZZJJJ XXXTTTOOLL XXXXZZOOSS XXXXTZZSSL XXXXXIIIIL XXXZZSSTTT XXXXSSOOLL XXXXZZOOTL XXXXXIIIIL XXXTTTSSLL XXXXTSSOOL XXXXZZIIII XXXXXZZOOL

Most easy solves fill in the heart shape to complete a 6×4 box and do a PCO-like solve of the remaining 4×4 area. This does not work well if T is late.

IIIILOOXXX TJJJLOOXXX TTSSLLXXXX TSSJXXXXXX TJJJLOOXXX TTSSLOOXXX TSSJLLXXXX IIIIXXXXXX TJJJLOOXXX IIIILOOXXX TTSSLLXXXX TSSJXXXXXX TJJJOOLXXX IIIILLLXXX TTSSOOXXXX TSSJXXXXXX IJJTLOOXXX IJTTLOOXXX IZZTLLXXXX IJZZXXXXXX IJJTLLLXXX IJTTLSSXXX IZZTSSXXXX IJZZXXXXXX TJJJLOOXXX TTSJLOOXXX ZZSSLLXXXX TZZSXXXXXX TSSZLOOXXX TTZZLOOXXX TJJJLLXXXX SSZJXXXXXX SZZTOOLXXX SSZZLLLXXX JSTTOOXXXX JJJTXXXXXX IIIIJJJXXX LLLTOOJXXX ZZTTOOXXXX LZZTXXXXXX ITLLJJJXXX ITTLOOJXXX ITSSOOXXXX ISSLXXXXXX ZZJJJOOXXX TZZLJOOXXX TTIIIIXXXX TLLLXXXXXX LLJIIIIXXX TLJJJSSXXX TTOOSSXXXX TLOOXXXXXX IZZJJJLXXX ITZZLLLXXX ITTSSJXXXX ITSSXXXXXX LLIIIIZXXX TLJSSZZXXX TTJJJZXXXX TLSSXXXXXX TLLLSSZXXX TTJSSZZXXX TLJJJZXXXX IIIIXXXXXX ZZSSJJJXXX TSSLLLJXXX TTIIIIXXXX TZZLXXXXXX JJSZZOOXXX JIIIIOOXXX JTSSZZXXXX TTTSXXXXXX

With 180° spins, these eighteen solutions cover every queue where T isn't last; the last one is the only one that saves J/L, and is only very rarely needed.

ISTTTOOXXX ISSZZOOXXX IJSTZZXXXX IJJJXXXXXX LSTTTOOXXX LSSZZOOXXX LLSTZZXXXX IIIIXXXXXX ISTTTOOXXX ISSZZOOXXX ILLLZZXXXX ILSTXXXXXX

These three solutions cover every solvable queue where T is last.

X_________ XX________ XXXX____XX XXXXX___XX

blah blah blah

XZZTTTSSOO XXZZTSSLOO XXXXIIIIXX XXXXXLLLXX XZZTTTSSOO XXZZTJJJOO XXXXIIIIXX XXXXXSSJXX XTTTSSZJOO XXTSSZZJOO XXXXIIIIXX XXXXXZJJXX XZZIIIIJJJ XXZZOOTTTJ XXXXOOSSXX XXXXXSSTXX

XX________ XXX_______ XXXXX_____ XXXXXX____

blah blah blah

XX________ XXX_______ XXXXX_____ XXXXXX____

Provided that the setup isn't shifted, it has a guaranteed save-O recovery. The four routes shown below cover every queue (but do not reach the maximum attainable save-O PC rate).

OO________ OO________ XXZZLLIIII XXXZZLTJJJ XXXXXLTTSS XXXXXXTSSJ OO________ OO________ XXZZLLTJJJ XXXZZLTTSS XXXXXLTSSJ XXXXXXIIII OO________ OO________ XXZZLLTJJJ XXXZZLIIII XXXXXLTTSS XXXXXXTSSJ OO________ OO________ XXIIIIZZLL XXXJJJTZZL XXXXXJTTSS XXXXXXTSSL

With O touching the wall, DPC, SPC and 2L continuations are possible. With 180° spins, the first two cover every possible queue of the next bag and lead to the same resulting field.

__________ _Z________ ZZ_______I ZTTTLLOOJI XXTSSLOOJI XXSS_L_JJI __________ _Z________ ZZ_______I ZTTT_J_LLI XXTSSJOOLI XXSSJJOOLI __________ __________ OO__LLL___ OO_ZLSS__J XXZZSSTTTJ XXZIIIITJJ __________ _________L _______LLL IIIISTTTZJ XXOOSSTZZJ XXOO_S_ZJJ XXLLLJJJOO XXLIIIIJOO

If LTS are all within the first four pieces (4/35 = 11.43%), throw the Z piece in the corner. This solution saves O.

__________ _____T___Z J__OOTT_ZZ JJJOOT__Z_ SIIIIZZJJJ SSLLLXTTTX XSLXXXXTXX XXXXXXZZXJ

If the first four pieces are JLOS in any order (1/35 = 2.86%), hang the Z piece on the T piece. This solution saves I. (Keep the O piece in hold until S has been placed.)

__________ _____TZZ__ J__OOTTZZ_ JJJOOT____ OOJJJZZTTT OOSSJXXXLL XSSXXXXXXL XXXXXXZZTL

(Optional.) If you're bad with distinguishing mirrors, this Z placement also works with JLOZ. Also save I.

JJJOOTTTSS ZZJOOXXXLL XZZXXXXXXL XXXXXXTSSL

Otherwise (30/35 = 85.71%), the remaining queues are covered by the following four solves. All of these use OJ to complete the box; the solutions save S, T, S, I respectively. The last solution is needed only very rarely (44/4320 = 1.02%).

__________ ZZ___T____ JZZOOTT___ JJJOOT____ JJJOOZZLLI XXJOOXZZLI XXXXXXXTLI XXXXXXTTTI JJJOOZZLLI XXJOOXZZLI XXXXXXXSSI XXXXXXSSLI JJJOOTTTZI XXJOOXTZZI XXXXXXXZLI XXXXXXLLLI JJJOOTTTLL XXJOOXTSSL XXXXXXXZZL XXXXXXSSZZ

The following solutions aren't necessary, but they save O and are easy to recognise.

IIIILZZTTT XXLLLXZZTJ XXXXXXXSSJ XXXXXXSSJJ IIIILZZJJJ XXLLLXZZSJ XXXXXXXTSS XXXXXXTTTS

These two additional solutions have potential save-Z tetris. The second one requires the Z to remain held until the L piece comes.

OOJJJZZLLI OOSSJXZZLI XSSXXXXTLI XXXXXXTTTI OOJJJTTTZI OOSSJXTZZI XSSXXXXZLI XXXXXXLLLI

LLLIZZTTTX LOOIJZZTXX XOOIJJJXXX XXXIXXXXXX SLLIJJTTTX SSLIJOOTXX XSLIJOOXXX XXXIXXXXXX SLLIZZTTTX SSLIJZZTXX XSLIJJJXXX XXXIXXXXXX JJJIOOTTTX ZZJIOOLTXX XZZILLLXXX XXXIXXXXXX

These four solves cover every queue, and save S, Z, O, S, respectively.

LLLITTTSSX LOOIJTSSXX XOOIJJJXXX XXXIXXXXXX OOJILLLSSX OOJILTSSXX XJJITTTXXX XXXIXXXXXX JJJILLLSSX ZZJILTSSXX XZZITTTXXX XXXIXXXXXX OOJILSTTTX OOJILSSTXX XJJILLSXXX XXXIXXXXXX JJJILSTTTX ZZJILSSTXX XZZILLSXXX XXXIXXXXXX

1884/5040 = 37.38% tetris chance with the four main solves, 2524/5040 = 50.08% tetris chance with all nine tetris-able solves. The second main solve is redundant with the other eight solves for tetris coverage.

OOLLLIIIIX OOLTTTSSXX XJJJTSSXXX XXXJXXXXXX SZZJJJLLLX SSZZIIIIXX XSTTTJLXXX XXXTXXXXXX

Also has some TSS solves, but most of them save J/L. These are the only two TSS solves that don't, and they save Z and O respectively. These cover 824/5040 = 16.35% of all queues, or 426/2516 = 16.93% of non-tetris-able queues. For the second solve, it's possible to get the TSS after a third-row skim.

The T piece can only ever be used to complete the 3×4 box, and since none of the solutions need 180° spins or I spins, we will henceforth ignore said box and focus on the seven remaining columns.

If S is before J and Z is before L (1/4 = 25%), build Grace System. 100% save O, 29% tetris.

_______ __OO___ __OO___ _IIII__ LLLJJJI LZXXSJI ZZXXSSI ZXXXXSI

Otherwise (3/4 = 75%), place O on the floor. These two box solutions have 100% coverage and save S/Z.

_______ _______ _____OO _IIIIOO IZZLLOO IJZZLOO IJJJLXX IXXXXXX IJJSSOO IJSSLOO IJLLLXX IXXXXXX

The next three solutions are redundant, but increase tetris chance. These also save S/Z.

ILJJJOO ILZZJOO ILLZZXX IXXXXXX ILLLJOO ILSSJOO ISSJJXX IXXXXXX ILOOJJJ ILOOSSJ ILLSSXX IXXXXXX

If O is last, there's a guaranteed save-O solution. (None of the solves with O placed on the floor can finish with a save-O tetris, and saving O is better than saving S/Z when tetris is impossible.) The Z piece can be inserted after J and L by spinning thrice.

IJJZSSL IJZZLLL IJZSSXX IXXXXXX

__________ _J________ _JJJ__T_OO _IIIITTTOO IZZLLJJTOO IXZZLJTTOO IXXXLJXTXX IXXXXXXXXX IZZTTTLLOO IXZZTSSLOO IXXXSSXLXX IXXXXXXXXX

These two are the standard solves and cover every queue. Between the standard solves, saving J is forced when T is last among JOTS.

ILLLJJJTOO ILSSJJTTOO ISSJJJXTXX IXXXXXXXXX IJJSSJJTOO IJSSLJTTOO IJLLLJXTXX IXXXXXXXXX IJJZJTLLOO IJZZJTTLOO IJZJJTXLXX IXXXXXXXXX ILJJJJJTOO ILZZJJTTOO ILLZZJXTXX IXXXXXXXXX

These are the other solves with a tetris chance; all save S or Z. I believe the fourth one is redundant with the standard solution, but it increases the chance of getting TS0 + tetris.

Most of the time, extend the TS shape by placing Z next to it. If T is before J or S, the first solve works. If T is before L or Z, the second solve works.

__________ __________ OO__SSTZZ_ OO_SSTTTZZ OOIJJTZZLL OOIJTTTZZL XXIJXXXXXL XXIXXXXXXX OOIJJSSTLL OOIJSSTTTL XXIJXXXXXL XXIXXXXXXX

These save S and Z respectively, and can be used exactly when T isn't last among JLTSZ (4/5 = 80%). There's a decent tetris chance (1656/4032 = 41.07%), conditional on being able to use these solves.

There is one more potential tetris solve with a different Z placement, although this saves L. Not worth it if you don't use J/L DPC.

____ZZ____ _____ZZ___ OO__SST___ OO_SSTTT__ OOZZXXJJJI OOTZZXXSJI XXTTXXXSSI XXTXXXXXSI

Otherwise (1/5 = 20%), extend to jaws precursor + T. Only one solution is needed in this case (save O), although there's a save-I TSS/TSD solution if I is last (TSS always guaranteed if I last; TSD guaranteed if T is sixth and I is last).

__________ ___Z______ OOZZSST___ OOZSSTTT__ JIIIISSTTT JJJXSSZZLL XXXXXXXZZL XXXXXXXXTL OOLLLSSJJJ OOLXSSTTTZ XXXXXXXTZZ XXXXXXXXZJ

JJXXSSIIII JXXSSTTTLL JXXXZZTOOL XXXXXZZOOL JJXXIIIIOO JXXZZTTTOO JXXXZZTLOO XXXXXLLLOO

These two solves cover every queue with J and L within the first three pieces.

JJXXZZIIII JXXTTTSSLL JXXXTSSOOL XXXXXZZOOL JJXXIIIISS JXXTTTZZLL JXXXTOOZZL XXXXXOOSSL JJXXIIIIOO JXXTTTSSOO JXXXTSSLOO XXXXXLLLOO JJXXIIIIOO JXXTTTZZOO JXXXTOOZZL XXXXXOOLLL JJXXZZOOOO JXXTTTOOOO JXXXTIIIIL XXXXXZZLLL

These are the other potential-TSD solves. In all, there is a 474/720 = 65.83% chance of getting a TSD (along with a tiny chance of only getting a TSS) with this setup, which is better than the 288/720 = 40% chance of getting a tetris with the main 3p setup.

This is a slightly modified version of the queue-based setups from smolfeesh's video on Jigsaw 2nds. Choose the setup based on what you see in the first three pieces of the next bag, ignoring the I and O pieces if present.

Early S/Z

__________ __OO______ __OO__SST_ _IIIISSTTT IJJTTTZZLL IJXXTSSZZL IJXXSSSSXL IXXXXSSXXX
__________ ______OO__ _T__SSOO__ TTTSSIIII_ JJTTTSSLLI JZZTSSXXLI JXZZSSXXLI XXXSSXXXXI

Both save O. The first one is guaranteed if S < T, while the second one is guaranteed if Z < T.

Early T

_________I _____SS__I OO__SST__I OO___TTT_I OOJJSSLLIX OOJSSSSLIX XXJTSSXLIX XXTTTXXXIX

Save Z. Guaranteed if T < SZ. Might be better to swap the positions of the O and I 2×4 boxes at high gravity, although that kills the free t-spin mini null.

Early J

__________ ____SS____ ___SST_OO_ IIIITTTOO_ TTTSSLLOOI JTSSSSLOOI JJJSSXLXXI XXXXXXXXXI ZZTTTLLOOI JZZTSSLOOI JJJSSXLXXI XXXXXXXXXI

Save S or Z. Guaranteed if J < T. Only the first solution needed, but knowing both increases tetris chance. The second solve is actually identical to the save-J ITO + J solve.

Early L

__________ ______SS__ _OO_TSS___ _OOTTTIIII IOOJJSSTTT IOOJSSSSTL IXXJXSSLLL IXXXXXXXXX

Save Z. The ITO placement is mirrored compared to the early J setup. Guaranteed if L < T. The ITO and next-bag L placements are identical to the ITO + L setup.

The setup is basically what's used for early Z in the queue-based setup set. Keep the O piece in hold.

__________ __________ __T__SS___ _TTTSSIIII

If Z is before T, extend to the early-Z queue-based setup. This solution saves O. (The exact conditions for using this solution are: Z < T or Z < O or (Z last and (S < T or S < O)); this can be used 16/21 = 76.19% of the time.)

__________ _______OO_ __T__SSOO_ _TTTSSIIII IJJTTTSSLL IJZZTSSXXL IJXZZXXXXL IXXXXXXXXX

Otherwise, place O in the trench formed by the T and S pieces. These solutions save J and L, respectively.

__________ ___OO_____ __TOOSS___ _TTTSSIIII ZZIIIISSLL TZZXXSSOOL TTXXXXXOOL TXXXXXXXXX ZZIIIISSOO TZZXXSSJOO TTXXXXXJJJ TXXXXXXXXX

These four additional solutions can be used to minimise the chance of saving J or L.

JJIIIISSLL TTTOOSSOOL JTXOOXXOOL JXXXXXXXXX LLLTSSIIII LZTTTJJJOO ZZXSSXXJOO ZXXXXXXXXX LLLTTTIIII OOZZTJJJOO OOXZZXXJOO LXXXXXXXXX LLLTSSIIII OOTTTJJJOO OOXSSXXJOO LXXXXXXXXX

_________I _________I ___SST___I __SSTTT__I _________I _________I ___TZZ___I __TTTZZ__I

These three solutions and their mirrors cover every queue. ("Mirror" with the rightmost column ignored, of course.)

JJTZZLLOOX JTTTZZLOOX JSSXXXLOOX SSXXXXXOOX TTTIIIIOOX LTSSJJJOOX LSSXXXJOOX LLXXXXXOOX ILLLSSJJJX ILZSSTTTJX IZZXXXTOOX IZXXXXXOOX

These are the additional save-OSZ t-spin solutions.

IIIISSJJJX LOOSSTTTJX LOOXXXTOOX LLXXXXXOOX IIIISSJJJX OOLSSTTTJX LLLXXXTOOX OOXXXXXOOX ILLLSSJJJX IOOSSTTTJX IOOXXXTOOX ILXXXXXOOX LLLIIIIOOX STTTJJJOOX SSTXXXJOOX LSXXXXXOOX LLLZZJJJIX STTTZZOOIX SSTXXXOOIX LSXXXXXJIX

If S or Z is early (not OT < SZ), extend to a shifted variant of the knoll + top hat shape, with the corresponding early-S/Z solves being applicable. These both save O.

__________ X_______J_ X__XXX__J_ XXXXXXXJJ_ TTTZZLLJJI XTSSZZLJXI XSSXXXLJXI XXXXXXXXXI LLJJSSTTTI XLJSSZZTXI XLJXXXZZXI XXXXXXXXXI

Otherwise, place J flat on the floor. This solution saves Z.

__________ X_________ X__XXX_J__ XXXXXXXJJJ LLJJSSIIII XLJSSTTTOO XLJXXXTXOO XXXXXXXXXX

These additional t-spin and tetris solves are good to know. The first two potentially score a TSD, while the third one potentially scores a t-spin null followed by a tetris. These save O, O, Z, respectively. (If playing on TETR.IO, look out for 180° t-spins too.)

LLJJSSIIII XLJSSTTTZJ XLJXXXTZZJ XXXXXXXZJJ LLJJSSJJJI XLJSSTTTZI XLJXXXTZZI XXXXXXXZJI LLJJSSJJJI XLJSSTTTJI XLJXXXTOOI XXXXXXXOOI

The main solutions are to immediately convert to the ITSZ setup's shape by placing the T piece in either hole. 100% save O/S/Z.

__________ L________J LTTT_____J LLTIIII_JJ ZZTTTSSIJJ XZZTSSLIJX XXXXLLLIJX XXXXXXXIXX ZZTTTLLIJJ XZZTOOLIJX XXXXOOLIJX XXXXXXXIXX TTTSSLLIJJ XTSSOOLIJX XXXXOOLIJX XXXXXXXIXX

Since we know all of the next bag's queue before placing T, we can choose which hole to use, increasing tetris chance from 2160/5040 = 42.86% (fixed hole) to 2424/5040 = 48.10% (best hole).

If T is before OSZ and O is before L, it's possible to delay the T piece placement to get a t-spin.

TTT_______ LT_______J L________J LL_IIII_JJ XXXSSLLIJJ XXSSOOLIJX XTTTOOLIJX XXTXXXXIXX

If S < T < IJ, it's also possible to get a t-spin single, save O.

__________ L_T______J L_TT_____J LLTIIII_JJ LLZZIIIIJJ XLXZZSSTJX XLXXSSTTJX XXXXXXXTXX

These are the TSD solves. They save O, S, O, respectively.

__________ L___T____J L__TTT___J LL_IIII_JJ JJJLLLIIII XSJLXTTTZX XSSXXXTZZX XXSXXXXZXX JJJLLLIIII XOOLXTTTZX XOOXXXTZZX XXJXXXXZXX
__________ L___TTT__J L____T___J LL_IIII_JJ LLZZIIIISS XLJJXXXSSX XLJZZXTTTX XXJXXXXTXX

The dependencies are JLSZ < T < I and S < J for the first one, LOZ < T < IJ for the second one, and JLS < Z < T < I for the third one (you need to skim the third row before the TSD).

TTTLLJJOOI XTSSLJXOOI XSSXLJXXXI XXXXXXXXXI LLJJTTTOOI XLJZZTXOOI XLJXZZXXXI XXXXXXXXXI

These two solves cover every queue, and save S/Z. Choose by whichever of SZ is earlier (former if S < Z, latter if Z < S) to maximise tetris chance. 100% tetris if I last, 66.67% tetris if S or Z last (tetris impossible iff IT < SZ), 0% otherwise.

By holding the O piece in the setup, this gains a lot of save-O solves. Some examples are shown below (not exhaustive); the rest are just mirrors and different ways of building the JLS/JLZ box. These solves may also be more reliable at high gravity when applicable.

TTTIIIILLL XTSSOOXLZJ XSSXOOXZZJ XXXXXXXZJJ IIIITSSLLL XOOTTTXLZJ XOOXSSXZZJ XXXXXXXZJJ

Saving O is always possible if you see at least one of JL and at least one of SZ in the first three pieces of the next bag. (But make sure to prioritise save-S/Z tetris over saving O.)

100% cover flowchart: If see at least two of TSZ, use SZ or TS/TZ setup. If see none of TSZ, use IJL or JO/LO setup. Suppose see exactly one of TSZ. If see T, use JT/LT or I setup. If see S, use IS, TS, LS or JO setup. If see Z, use IZ, TZ, JZ or LO setup.

IO, IS, IZ

__________ ___ZZ_____ ____ZZSSOO _IIIISS_OO JJSSZZLLOO JSSXXZZLOO IIIIXXXXXX JXXXXXXLXX JJSSZZTTTL JSSXXZZLLL IIIIXXXXXX JXXXXXXTXX

The I piece can be spun in after the S piece (cw drop cw, or ccw drop ccw). The first solution always works, but saves T. The second solution saves O.

SZ

__________ ___ZZ_____ __SSZZ__OO _SSIIII_OO __________ ___SS_____ __SSZZ__OO _IIIIZZ_OO JJIIIILLOO JSSXXZZLOO SSXXXXZZXX JXXXXXXLXX JJIIIITTTL JSSXXZZLLL SSXXXXZZXX JXXXXXXTXX

Only one build necessary, but using both can reduce holds or avoid I-spins. Same solves as the previous setup after SZ are placed. Somewhat higher save-O chance because of conditional probability shenanigans.

LS, TS

__________ ______S___ ____ZZSSOO _IIIIZZSOO JJSZZIIIIL JTSSZZXLLL TTTSXXXXXX JXXXXXXXXX ILSZZJJJOO ILSSZZXJOO ILLSXXXXXX IXXXXXXXXX

These solves have the same SZ placement. The first one (for TS) saves O. The second one (for LS) saves T, with a tetris chance (I or T last). For LS, don't immediately place I and watch out for the TSD save-Z solve too.

IIIIIJJJOO ILSTTTXJOO ILSSXXXXXX ILLSTXXXXX

JO

__________ __________ OO_SS__ZZ_ OOSSIIIIZZ IIIISSZZLL JJJSSOOZZL XXJXXOOXXL

Save T. If I or T is last, there's also a save-I solution, which may or may not be preferable. (I DPC has higher score than T DPC/SPC, but also harder setups.)

JTTTSSZZLL JJJSSOOZZL XXTXXOOXXL

IJL, JLZ

__________ _ZOO____S_ ZZOO____SS ZIIII____S LLLIIIIJJJ LXXXSTTTXJ XXXXSSZZXX XXXXXSTZZX LLLIIIIJJJ LXXXOOSSXJ XXXXOOZZXX XXXXXSSZZX LLLIIIIJJJ LXXXOOZZXJ XXXXOOSSXX XXXXXSSZZX

The first solution saves O (possible if the last non-I piece is O or T); the next two save T. There's a small chance of getting a TSD with the first solve, by keeping the I piece in hold until after TSZ have been placed (SZ < T < O).

JT

__________ __Z__OO___ _ZZSSOO___ _ZSSIIII__ IIIISSZZLL JJXSSXXZZL JXXXXXXTTT JXXXXXXXTL

The drop order dependencies are S < Z or (I < O and OZ < S); this can always be satisfied by holding S as long as possible. This solve saves O.

ZZTTTJIIII XZZTLJJJSS XXLLLXXSSX TTTSSIIIIZ XTSSLJJJZZ XXLLLXXJZX
TTTLLJIIII XTOOLJJJSS XXOOLXXSSX TTTLLIIIIZ XTOOLJJJZZ XXOOLXXJZX TTTIIIIJJZ XTOOLLLJZZ XXOOLXXJZX
IIIIJJJLLL XZZTTTJLSS XXZZTXXSSX IIIIJJJLOO XZZTTTJLOO XXZZTXXLLX IIIIJJJLOO XTTTSSJLOO XXTSSXXLLX

The second solve is redundant with the other seven, but is easy to spot and saves O. The sixth and seventh solves have potential TSS. Keep in mind that a 180° L-spin can be used for the last two solves.

Some of these have ordering requirements. E.g. the early IT setup requires I to be placed before T, so it works if IT are the first two pieces, or I is in the first two and T is third. This is written as "See I<T".

See SZ

__________ ____SLL___ J_ZZSSL___ JJJZZSL___ SZZIIIILLL SSZZXXXTTT XSXXXXXJJJ XXXXXXXLTJ SZZIIIILLL SSZZXXXLOO XSXXXXXJOO XXXXXXXJJJ

Save O or T. Not all solutions are shown. It's always possible to save O if S < Z, so this setup can optionally be mirrored to always save O when both of SZ are seen. While the setup can always be built, do keep the dependencies in mind: if LZ are the first two pieces of the current bag, place Z and hold L; if JS are the first two pieces, place S and hold J; if JL are the first two pieces, you need to look at SZ order as well.

See JT

__________ L_____Z__J L____ZZSSJ LL___ZSSJJ ZZLLIIIISS XZZLJJXSSX XTTTJXXXXX XXTLJXXXXX

Save O.

See I<T

__________ L_____Z__J L____ZZSSJ LL___ZSSJJ ZZJJJLLLSS XZZTJLXSSX XIIIIXXXXX XXTTTXXXXX

Save O.

See IO

__________ L__S______ LZZSSJ____ LLZZSJJJ__ ZZJJJOOLLI XZZXJOOTLI XXXXXXTTTI XXXXXXXXLI ZZJJJOOSLL XZZXJOOSSL XXXXXXIIII XXXXXXXXSL

Save S or T. This is actually just knewjade's setup, but only two solutions are needed in this case. The solutions do not have fixed I placements.

See IS

__________ _____L__S_ __JJJLZZSS ____JLLZZS LLLOOZZJJJ LSSOOXZZXJ SSXXXXXXXX IIIIXXXXXX

Save T. Warning: you can get screwed over by I spins if you build the setup with the 5×4 sections swapped.

See S<T

__________ L_________ LZZJJJ__SS LLZZ_J_SS_ ZZIIIIJJLL XZZTTTJSSL XXXXXXSSXX XXXXTXJXXL

Save O.

Everything else

S_________ SS________ JSZZ_____L JJJZZ__LLL _________Z ________ZZ J_____SSZL JJJ__SSLLL

Build shoe + legs. Switch sides based on SZ order or JL order as described in the shoe + legs section. Always save O, S, Z or T, with easy solutions.

SZZLLJIIII SSZZLJJJSS XSXXLOOSSX XXXXXOOXXX SZZJJJILOO SSZZSJILOO XSXXSSILLX XXXXXSIXXX SZZLLIJJOO SSZZLIJTOO XSXXLITTTX XXXXXIJXXX SZZIIIIJJJ SSZZOOSSLJ XSXXOOLLLX XXXXXSSXXX STTTLLIJJJ SSTZZLIOOJ XSXXZZIOOX XXXXXLIXXX STTTLLIIII SSTZZLJJSS XSXXZZJSSX XXXXXLJXXX JLLLSSIIII JJJSSTTTSS XLXXZZTSSX XXXXXZZXXX

With 180° spins, these seven solutions cover every queue, and save T, T, S, T, S, O, O, respectively. (In the fourth solution, the L piece can be spun in after O and J are placed by using a 180° rotation.) Most of the solutions have one S piece extending to shoe + legs, but that doesn't mean that that S piece has to be placed first.

SZZTTTIIII SSZZTLLLSS XSXXJJJSSX XXXXXLJXXX SZZIIIILOO SSZZJJJLOO XSXXTTTLLX XXXXXTJXXX SZZIIIILOO SSZZTTTLOO XSXXJJJLLX XXXXXTJXXX SZZLLJJTTT SSZZLJIIII XSXXLJSSTX XXXXXSSXXX JLLLZZIIII JJJTTTSSSS XLXXTSSSSX XXXXXZZXXX TTTZZSSLLL IIIISSJLSS XTXXZZJSSX XXXXXJJXXX

These six additional solutions maximise save-O/S/Z chance, and save O, S, S, O, O, O, respectively.

ZZJJJOOLLI XZZXJOOTLI XXXXXXTTTI XXXXXXXXLI ZZJJJOOSLL XZZXJOOSSL XXXXXXIIII XXXXXXXXSL ZZJJJSIIII XZZXJSSLLL XXXXXXSLOO XXXXXXXXOO

These three solutions cover all solvable queues, but will frequently save T.

ZZJJJSTTTI XZZXJSSLLI XXXXXXSTLI XXXXXXXXLI ZZIIIILTTT XZZXLLLSSJ XXXXXXSSTJ XXXXXXXXJJ ZZJJJSTTTL XZZXJSSLLL XXXXXXSTOO XXXXXXXXOO

These three extra solutions minimise save-T chance, and save O, O, I, respectively.

100% save O/S/Z. Most commonly, the solves complete the horizontal box + O setup.

If neither T nor L is last, extend to legs and wing it from there.

_______JJJ _______SSJ ______SSOO ____IIIIOO

This is the unique solve for the forced-save-J/L queues where T isn't last. Never applicable if you preferentially use the 80% setup, since it requires an early T and that setup is 100% for early T.

JJSZZOOXXX JIIIIOOXXX JTSSZZXXXX TTTSXXXXXX

If T or L is last, place J on the floor. This solve covers exactly the queues where T or L is last.

__________ _______SS_ _J____SSOO _JJJIIIIOO ISTTTOOJJJ ISSZZOOXXJ IXSTZZXXXX IXXXXXXXXX

See T

The 80% setup works if T is within the first three pieces of the next bag.

__________ ____Z__J__ ___ZZSSJJJ ___ZSSIIII

See OSZ

A cute traffic light setup. (You'll know it when you see it.) There are many other queue-based setups for IJSZ 2nd, but this is probably the most memorable. The one solution saves L.

I_________ I________J I__SSZZ__J I_SS__ZZJJ XJJIIIITTT XJSSOOZZTX XSSXXXXZZX XJXXOOXXXX

I in first two

This 3-piece setup (hold J) is 100% PC if I is within the first two pieces of the next bag. Not 100% if I is third. The six solves shown here cover every queue, and save J, L, Z, Z, Z, O, respectively. The last solve is redundant if you preferentially use the 80% setup when you see T.

I_________ I_________ I_SSZZ____ ISS__ZZ___ XJJTTTSSLL XJZZTSSOOL XJXXXXIIII XXXZZXXOOL XJJTTTSSOO XJZZTSSJOO XJXXXXIIII XXXZZXXJJJ XJJTJJSSLL XJTTJSSOOL XJXXXXIIII XXXTJXXOOL XLLLSSTOOJ XIIIITTOOJ XLXXXXTJJJ XXXSSXXJJJ XLLLSSTJOO XIIIITTJJJ XLXXXXTJOO XXXSSXXJJJ XTLLJJSSZI XTTLJSSZZI XTXXXXJJJI XXXLJXXZJI

Guaranteed save-O recovery

The shoe setup has a guaranteed save-O recovery, and may actually be preferable over setups with higher PC rate but no guaranteed recovery (e.g. shoe + O).

IS________ ISS_______ IJSZZ_____ IJJJZZ____

The solves for the 4p setup always build a 4×4 box of some sort while filling in the well on the left with either SZ or OI. It's very important to keep track of when the second row is skimmed; SZ well requires the second row to be skimmed before the later of SZ is placed, while OI well requires the second row to be skimmed before O is placed.

The sixty fail queues are [JOS]!ZTIL, [JOZ]!STIL, [JTS]!ZIOL, [IOS]!ZJTL, [IOS]!ZLTJ and their mirrors. For all of these, the other 4p extension works.

This solution set is from FOUR, with mirrors excluded. Only the 4×4 box part is shown. The first ten save I/O/T and use SZ to fill in the well; the next three save J/L and use SZ to fill in the well; the last two save J/L and use IO to fill in the well.

ILLL ITTT IJJJ ILTJ IIII LTTT LJJJ LLTJ IIII JJLL JOOL JOOL ILLL IOOJ IOOJ ILJJ IOOL ILLL IJJJ IOOJ ILLL ILOO IJOO IJJJ IIII OOLL JJJL OOJL IJLL IJJJ IOOL IOOL LOOJ LOOJ LLJJ IIII OOLL OOTL JTTT JJJL IIII JJJT OOTT OOJT JJJT OOTT OOJT IIII JJJT IIII OOTT OOJT JJSS JSST ZZTT JZZT TJJJ TTSJ ZZSS TZZS

Some more solutions that are useful for avoiding saving J/L.

STTT SSTJ LLLJ LSJJ JJLL JSSL SSTL JTTT STTT SSLL JSTL JJJL

The four fail queues are [LS]!JOTIZ and their mirrors. For those queues, the other 4p extension works.

Note: Some of these solves are affected by I-spin asymmetry. Mirrors are excluded, as above; when the I-spin asymmetry matters, the one with higher coverage is shown by default.

The majority of the solves are like two simultaneous PCO 1st solves. Except for the fail queues, this can always save O, S/Z, or T.

ZZLLIIII XZZLJSSX XXTLSSXX XTTTJJJX ZZLLIIII XZZLJJJX XXTLOOXX XTTTOOJX ZZLLIIII XZZLJJJX XXSSOOXX XSSLOOJX ZZIIIIJJ XZZLLLJX XXSSOOXX XSSLOOJX TTTZIIII XTZZJJJX XXZLOOXX XLLLOOJX TTTZIIII XTZZJSSX XXZLSSXX XLLLJJJX ZZSLIIII XLLLTTTX XXSSJTXX XZZSJJJX ZZTTTLLL XZZIIIIX XXSSJLXX XSSTJJJX ZZJJJTTT XZZSSLTX XXSSJLXX XIIIILLX IIIIZTTT XOOZZLTX XXJJJLXX XOOZJLLX TTTOOIJJ XZZOOIJX XXZZLIXX XTLLLIJX ZZTJJJSS XTTTLSSX XXLLLJXX XZZIIIIX ZZLLLTTT XZZOOJJX XXLOOJXX XIIIIJTX TTTJJJSS XLLIIIIX XXLOOJXX XTLOOSSX TTTJJJSS XTOOLLLX XXOOLJXX XIIIISSX ZZJLLLSS XZZIIIIX XXJTTTXX XJJLTSSX

The 4-piece setup is already 100% save-O/S/Z, but the 3-piece setup includes some save-O TSS solves that should be familiar from T DPC.

With 180° spins, these five solves and their mirrors cover every queue. These save S, S, O, S, Z, respectively.

IIIIJJOO ZZLLJTOO XZZLTTTX XXXLJXXX LLLITTTZ LOOIJJZZ XOOIJTZX XXXIJXXX SLLITTTZ SSLIJJZZ XSLIJTZX XXXIJXXX OOJIIIIZ OOJTTTZZ XJJLLLZX XXXLTXXX OOJSIIII OOJSSTTT XJJLLLTX XXXLSXXX

These two extra solves place the L piece differently; they save O and have potential TSS.

________ ________ J_____L_ JJJ_LLL_ JLLLSSZI JJJSSZZI XLTTTZXI XXXTXXXI SZZJJJLI SSZZLLLI XSTTTJXI XXXTXXXI