已知正数 $a,b,c,d,e,f$同时满足 $\frac{\mathit{bcdef}}{a}=4,\frac{\mathit{acdef}}{b}=9,\frac{\mathit{abdef}}{c}=16,\frac{\mathit{abcef}}{d}=\frac{1}{4},\frac{\mathit{abcdf}}{e}=\frac{1}{9},\frac{\mathit{abcde}}{f}=\frac{1}{16}$，则 $\left(a+c+e\right)-\left(b+d+f\right)$的值为＿＿＿＿＿.