Consider all length 7 binary strings. Let A; be the collection of all such strings in which the length 3 substring 011 occurs startıng at position i. There will be non-empty Aj. If A; is not empty, then JA;| will be non-empty A; NAj with i + j. There will be If A; N Aj is not empty and i + j, JA, NA,| will be There will be non-empty A; nA; NAg with i, j, k distinct. If A; NA, nAg is not empty and i, j, k are distinct, JA; n A; n A| will be . If all triple intersections are empty, answer 0. There are binary strings of length 7 contain the substring 011?

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