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- This achieves 248 points without use of the integer x, factorials, radicals, or parentheses.
- $1 = \lfloor\phi\rfloor$
- $2 = \lceil\phi\rceil$
- $3 = \lfloor\tau\div\phi\rfloor$
- $4 = \lfloor\tau-\phi\rfloor$
- $5 = \lceil\tau-\phi\rceil$
- $6 = \lfloor\tau\rfloor$
- $7 = \lceil\tau\rceil$
- $8 = \lceil\tau+\phi\rceil$
- $9 = \lceil\tau\rceil + \lceil\phi\rceil$
- $10 = \lfloor\tau\times\phi\rfloor$
- $11 = \lceil\tau\times\phi\rceil$
- $12 = \lfloor\tau+\tau\rfloor$
- $13 = \lceil\tau+\tau\rceil$
- $14 = \lceil\tau\rceil\times\lceil\phi\rceil$
- $15 = \lceil\phi^\tau-\tau\rceil$
- $16 = \lfloor\tau\times\phi+\tau\rfloor$
- $17 = \lfloor\phi^{\lfloor\tau\rfloor}\rfloor$
- $18 = \lceil\phi^{\lfloor\tau\rfloor}\rceil$
- $19 = \lfloor\tau^\phi\rfloor$
- $20 = \lceil\tau^\phi\rceil$
- $21 = \lceil\phi^\tau\rceil$
- $22 = \lfloor\phi^\tau+\phi\rfloor$
- $23 = \lfloor\lceil\tau\rceil^\phi\rfloor$
- $24 = \lceil\lceil\tau\rceil^\phi\rceil$
- $25 = \lfloor\tau^\phi+\tau\rfloor$
- $26 = \lfloor\phi^\tau+\tau\rfloor$
- $27 = \lceil\phi^\tau+\tau\rceil$
- $28 = \lceil\phi^{\lceil\tau\rceil}-\phi\rceil$
- $29 = \lfloor\phi^{\lceil\tau\rceil}\rfloor$
- $30 = \lceil\phi^{\lceil\tau\rceil}\rceil$
- $31 = \lfloor\phi\times\tau^\phi\rfloor$
- $32 = \lceil\phi\times\tau^\phi\rceil$
- $33 = \lfloor\phi\times\phi^\tau\rfloor$
- $34 = \lceil\phi\times\phi^\tau\rceil$
- $35 = \lfloor\phi^{\lceil\tau\rceil}+\tau\rfloor$
- $36 = \lfloor\tau\rfloor^{\lceil\phi\rceil}$
- $37 = \lfloor\lfloor\tau\rfloor\times\tau\rfloor$
- $38 = \lceil\lfloor\tau\rfloor\times\tau\rceil$
- $39 = \lfloor\tau\times\tau\rfloor$
- $40 = \lceil\tau\times\tau\rceil$
- $41 = \lfloor\tau\times\tau+\phi\rfloor$
- $42 = \lfloor\tau\rfloor\times\lceil\tau\rceil$
- $43 = \lfloor\lceil\tau\rceil\times\tau\rfloor$
- $44 = \lceil\lceil\tau\rceil\times\tau\rceil$
- $45 = \lceil\phi^{\tau+\phi}\rceil$
- $46 = \lceil\tau\times\tau+\tau\rceil$
- $47 = \lceil\phi^{\lceil\tau+\phi\rceil}\rceil$
- $48 = \lfloor\lceil\tau\times\phi\rceil^\phi\rfloor$
- $49 = \lceil\tau\rceil^{\lceil\phi\rceil}$
- $50 = \lfloor\lceil\tau\rceil\times\tau+\tau\rfloor$
- Points per line:
- 2 2 4 4 4 2 2 4 5 4
- 4 4 4 5 6 6 5 5 4 4
- 4 6 5 5 6 6 6 7 5 5
- 6 6 6 6 7 5 5 5 4 4
- 6 5 5 5 6 6 7 7 5 7
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