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One-number-is-written-on-the-board-Each-time-the-number-is-either-squared-or-multiplied-bh-2-If-1-is-written-on-the-board-at-the-beginning-it-is-necessary-to-perform-at-least-several-operations-to-




Question Number 125580 by Mammadli last updated on 12/Dec/20
One number is written on the board.  Each time the number is either squared or multiplied bh 2.  If 1 is written on the board at the beginning,  it is necessary to perform at least  several operations to get the number 2^(2018) .
$$\boldsymbol{{One}}\:\boldsymbol{{number}}\:\boldsymbol{{is}}\:\boldsymbol{{written}}\:\boldsymbol{{on}}\:\boldsymbol{{the}}\:\boldsymbol{{board}}. \\ $$$$\boldsymbol{{Each}}\:\boldsymbol{{time}}\:\boldsymbol{{the}}\:\boldsymbol{{number}}\:\boldsymbol{{is}}\:\boldsymbol{{either}}\:\boldsymbol{{squared}}\:\boldsymbol{{or}}\:\boldsymbol{{multiplied}}\:\boldsymbol{{bh}}\:\mathrm{2}. \\ $$$$\boldsymbol{{If}}\:\mathrm{1}\:\boldsymbol{{is}}\:\boldsymbol{{written}}\:\boldsymbol{{on}}\:\boldsymbol{{the}}\:\boldsymbol{{board}}\:\boldsymbol{{at}}\:\boldsymbol{{the}}\:\boldsymbol{{beginning}}, \\ $$$$\boldsymbol{{it}}\:\boldsymbol{{is}}\:\boldsymbol{{necessary}}\:\boldsymbol{{to}}\:\boldsymbol{{perform}}\:\boldsymbol{{at}}\:\boldsymbol{{least}} \\ $$$$\boldsymbol{{several}}\:\boldsymbol{{operations}}\:\boldsymbol{{to}}\:\boldsymbol{{get}}\:\boldsymbol{{the}}\:\boldsymbol{{number}}\:\mathrm{2}^{\mathrm{2018}} . \\ $$

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