Logical Decoding

You are given four results as below:
1111 = F
2222 = E
3333 = T
Then, can you find out how to code 4444?




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"After today, from time to time whenever I feel so inclined, I will select one prisoner at random and escort him to the switch room. This prisoner will select one of the two switches and reverse its position. He must flip one switch when he visits the switch room, and may only flip one of the switches. Then he'll be led back to his cell.

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