0, 1 Repel

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Find the number of 7-digit ternary strings that do not have any 0's next to any 1's. 00200211 and 00211200 are 2 strings to be counted, while 00200120 is a string not to be counted.

(A ternary string is a string consisting of only 0's, 1's, and 2's.)

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