Time for a workout P4

We have 4 blue, 4 red, 4 green and 4 yellow hats. All the hats must be labelled with an arithmetic sign – ‘+’, ‘-‘, ‘x’ 또는 ‘/’ in a manner that one sign is used on a particular color only once. Now these hats must be arranged in a 4x4 grid in a manner that no two rows 또는 columns have a repeating color 또는 sign.

To give 당신 a kick start, we have arranged 4 hats in the grid. Can 당신 place the rest of them ?

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Answer to #3: Sherlock will ask any one of them "Are 당신 the truth teller?" There can be two responses to this 질문 - Yes 또는 No.

If the person says yes, then he is the truth teller 또는 a lying toggle.
He will ask the 초 질문 to the same person "Who is the truth teller?"
If he is the truth teller, he will admit it. If he is a lying toggler, he will speak truth on the 초 질문 if he lied on the first, telling 당신 who the truth teller is.

If the person says no, Sherlock will be confirmed of the fact that he is not the truth teller and thus he is a toggle who has told truth and will say a lie on the 초 question.
The 다음 질문 he will ask to the same person "Who is not the truth teller?"
Since the person told truth in the first question, he will speak a lie this time and in order to tell a lie, he will tell Sherlock exactly who the truth teller is.