# Who stole my walnuts?

Logic Level 3

Once upon a time, there were $5$ squirrels, named $A, B, C, D, E$, living together in the tree hole. One day, after a long search, the squirrel family collected a total of $10$ walnuts. The big squirrel $A$ declared to divide $10$ walnuts equally among the five before going to the kitchen to get the honey.

When squirrel $A$ came back, however, he found out that all the walnuts were gone and soon realized that the other four were chewing the food rapidly. The big squirrel $A$ became so angry that he interrogated each squirrel to seek for the truth.

Squirrel B: Squirrel $D$ ate twice as much as me!

Squirrel C: Unlike others, only I ate 2 walnuts as you told.

Squirrel D: Squirrel $C$ ate more than squirrel $B$.

Squirrel E: I ate the least. The others all ate more than me.

Fortunately, squirrel $A$ had a lie-detector and knew one of the four lied.

Which squirrel was a liar? How many walnuts did each squirrel eat? (Plug in the answers as the name of the liar first (use 1, 2, 3, 4 for $B, C, D, E$ respectively) then followed by the amounts of $B, C, D, E$ shares respectively. For example, if your answer is $B$ is the liar and the walnuts for $B=1, C=2, D=3, E=4$, the input will be $11234$.)

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