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设集合\(A=｛1\)，\(2\)，\(…\)，\(97)\)，有序数组\((a_{1},a_{2},…a_{97})\)满足\(a_{i}∈A(i=1,2,…,97)\)．
\((1)\)求\(\sum\limits_{i=1}^{97}{{{a}_{i}}}\)不是\(97\)的倍数的数组\((a_{1},a_{2},…,a_{97})\)的个数；
\((2)\)求满足\((1)\)中的条件，且\(a_{1}a_{2}+a_{2}a_{3}+…+a_{96}a_{97}+a_{97}a_{1}\)是\(97\)的倍数的数组\((a_{1},a_{2},…,a_{97})\)的个数．