There is something wrong with the equation below:
By just exchanging two squares at a time, find the equality with the least amount of exchange.
For example if this question is asked for below equation, you may find the solution with one time exchange:
the answer will be exchanging "+" and "9" which makes the equation correct as below:
29+5=34
FYI: Even though it is not a hint, all numbers are used only once. (0,1,2,3,4,5,6,7,8,9)
Hint: you only swap each square once for optimal clear solution.
Answer
@oray's edit: Here is my intented answer since no-one found it out:
3140×(6+9)=2−75×8 (Initial layout)
3140×(6+9)−2=75×8 ("=" and "−")
3×40×(6+9)−2=7518 ("×" and "1")
3×45×(6+9)−2=7018 ("0" and "5")
3×45×(6+9)−7=2018 ("2" and "7")
which is
the year we are in.
I found another solution with
4 exchanges
which is:
3140×(6+9)=2−75×8 (Initial layout)
3+40×(619)=2−75×8 (Swapped 1 and +)
3+40=(619)×2−75×8 (Swapped = and ×)
3+40=(629)×1−75×8 (Swapped 2 and 1)
5+40=(629)×1−73×8 (Swapped 5 and 3)
To arrive at 45=45
————————————————————————————————————————————
Original post: I'm not sure if this is optimal, but I can do it in
4 exchanges
like this:
3140×(6+9)=2−75×8 (Initial layout)
314×0(6+9)=2−75×8 (Swapped 0 and ×)
314×0(6+9)=27−5×8 (Swapped 7 and −)
314×0(6+8)=27−5×9 (Swapped 8 and 9)
514×0(6+8)=27−3×9 (Swapped 3 and 5)
To arrive at 0=0.
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