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Grammar

E=TR
R=+TR | R=#
T=FY
Y=*FY | Y=#
F=(E) | F=i

M Table

  ======================================================================================================
          |       +               *               (               )               i               $
  ======================================================================================================
     E    |                                       E=TR                            E=TR
  ------------------------------------------------------------------------------------------------------
     R    |       R=+TR                                           R=#                             R=#
  ------------------------------------------------------------------------------------------------------
     T    |                                       T=FY                            T=FY
  ------------------------------------------------------------------------------------------------------
     Y    |       Y=#             Y=*FY                           Y=#                             Y=#
  ------------------------------------------------------------------------------------------------------
     F    |                                       F=(E)                           F=i
  ------------------------------------------------------------------------------------------------------

Example input

i+i*i$

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