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The 1st dot will need 14 lines.

The 2nd will need 13 since we have already joined the 1st to the 2nd.

The 3rd will need 12.

The 4th will need 11.

etc etc

14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 105 lines.

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