已知数列\(\{a_{n}\}\)满足\(a_{1}=1\)且\(a_{1}+\dfrac{1}{2}a_{2}+\dfrac{1}{3}a_{3}+\)…\(+\dfrac{1}{n}a_{n}=a_{n+1}-1(n\in N*)\)，数列\(\{\dfrac{a_{n}}{2^{n}}\}\)的前\(n\)项和为\(S_{n}\)，则使不等式\(S_{n}< m\)对任意正整数\(n\)恒成立的最小整数\(m\)为______.