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A smart grid controller constructs a 4-step power dispatch sequence using commands P_1, P_2, P_3, P_4, P_5, P_6, P_7, P_8. Safety guidelines stipulate that P_1 cannot be used in Step 1, and no two consecutive steps may use the same command.

How many valid power dispatch sequences can be generated?

  1. 2,401
  2. 2,744
  3. 3,584
  4. 4,096
  5. 1,470

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