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# perl min_steps.pl x_size y_size z_target

...
      }
   }
}

7 steps:
   S->X
...
   Z->Y
   S->X
   X->Z

# perl min_supply.pl x_size y_size z_target

...
      }
   }
}

Required supply: 6
7 steps:
...
   Z->Y
   Y->X
   X->Z