Who Wants to be a Millionaire?

When you enter the "Who Wants to be a Millionaire? " competition, you are asked to write down a six-digit number a b c d e f \overline { abcdef } . The winning number is also a six-digit number that looks like u v w x y z \overline { uvwxyz } . If your six-digit number has at least 1 pair of consecutive digits that is exactly the same as a pair of consecutive digits from the winning number, then you are a winner! What is the least amount tickets you have to buy to ensure that you will win at least once?

*Note: a b \overline { ab } = u v \overline { uv } , b c \overline { bc } = v w \overline { vw } ... and e f \overline { ef } = y z \overline { yz } are valid

However, something like a b \overline { ab } = w x \overline {wx } or a b \overline { ab } = y z \overline { yz } are invalid


The answer is 64.

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