\[\large{S=\cos { \left( 5x \right) } +\sin { \left( 8x \right) } +32\cos { \left( 3x \right) } +256\sin { \left( 6x \right) } -100-\sin ^{ 5 }{ \left( x \right) } -\cos ^{ 5 }{ \left( x \right) } }\]

Let \(S\) denote the above expression and \(y\) denote \(\min(S)\), then find \(\left\lfloor y \right\rfloor \)

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