this interactive problemkhanh n point cartesian plane denote a_1 a_2 ldot a_n all point coordinate integer 109 109 inclusive no point collinear he say point vertex convex polygon word exist permutation p_1 p_2 ldot p_n integer 1 n polygon a_p_1 a_p_2 ldot a_p_n convex vertex list counterclockwise orderKhanh give number n hide coordinate point your task guess permutation ask multiple query in query Khanh 4 integer t j k t 1 t 2 j k distinct index 1 n inclusive in response Khanh tell t 1 area triangle a_ia_ja_k multiply 2 t 2 sign cross product vector overrightarrowa_ia_j overrightarrowa_ia_k Recall cross product vector overrightarrowa x_a y_a vector overrightarrowb x_b y_b integer x_a cdot y_b x_b cdot y_a the sign number 1 positive 1 it prove cross product obtain query 0you ask 3 cdot n queriesplease note Khanh fix coordinate point change answer query you need guess coordinate in permutation a_p_1a_p_2ldot a_p_n p_1 equal 1 index vertex list counterclockwise order