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- Lower bound Upper bound
- 2x2
- QTM 14 14
- HTM 11 11
- 3x3
- QTM 26 26
- QSTM 18 26
- HTM 20 20
- STM 18 20
- 4x4
- QWTM 35 110
- QSTM 32 106
- QBTM 29 106
- WTM 35 55
- STM 32 53
- BTM 29 53
- 5x5
- QWTM 52 270
- QSTM 26 540
- QBTM 26 270
- WTM 52 135
- STM 26 270
- BTM 26 135
- 6x6
- QWTM 35 2147483647
- QSTM 32 2147483647
- QBTM 29 2147483647
- WTM 35 2147483647
- STM 32 2147483647
- BTM 29 2147483647
- 7x7
- QWTM 52 2147483647
- QSTM 26 2147483647
- QBTM 26 2147483647
- WTM 52 2147483647
- STM 26 2147483647
- BTM 26 2147483647
- 8x8
- QWTM 35 2147483647
- QSTM 32 2147483647
- QBTM 29 2147483647
- WTM 35 2147483647
- STM 32 2147483647
- BTM 29 2147483647
- 9x9
- QWTM 52 2147483647
- QSTM 26 2147483647
- QBTM 26 2147483647
- WTM 52 2147483647
- STM 26 2147483647
- BTM 26 2147483647
- Pyraminx
- WTM 11+4 11+4
- STM 11 11+4
- Jing's Pyraminx
- TM 11 23
- Master Pyraminx
- WTM 3 2147483647
- STM 2 2147483647
- BTM 2 2147483647
- Kilominx
- QTM 4 388
- HTM 2 194
- Megaminx
- QTM 48 388
- HTM 48 194
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