$(1$ point$)$ There are side channel attacks on RSA that can reveal the key based on the Square and Multiply

algorithm.

Suppose an adversary has control of a smart card and can analyze its power usage.

During operation of the card the adversary observes power usage that suggests that the Square and

Multiply algorithm performed the operations:

$SQ\frac{,}{M}UL,SQ\frac{,}{M}UL,SQ\frac{,}{M}UL,SQ\frac{,}{M}UL,SQ,SQ\frac{,}{M}UL,SQ\frac{,}{M}UL,SQ\frac{,}{M}UL,SQ\frac{,}{M}UL,SQ\frac{,}{M}UL,SQ,SQ\frac{,}{M}UL,SQ\frac{,}{M}UL$

What is the private exponent $d($in decimal$)?$