Mars Arithmetic
The Martians have a different way to express addition and multiplication. Instead of writing the operator between the numbers, they write it beside them. For example, the above is how they would evaluate
2 3 2 * + 3 *
.
Which of the following is equivalent to:
3 2 5 * 7 3 * 9 * 5 2 * + + +
.
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1 solution
Q. 3 2 5 * 7 3 * 9 * 5 2 * + + +
= 3 (2* 5) 7 3 * 9 * 5 2 * + + +
= 3 (2* 5) (7* 3) 9 * 5 2 * + + +
= 3 (2* 5) (7* 3 * 9) 5 2 * + + +
= 3 (2* 5) (7* 3* 9) (5* 2) + + +
= 3 (2* 5) (7* 3* 9 + 5* 2) + +
= 3 (2* 5 + 7* 3* 9 + 5* 2) +
= 3 + 2* 5 + 7* 3* 9 + 5* 2
= 212.