1. We are given a trapezoid with bases of lengths 1 and 4, respectively. We divide it into two trapezoids by a cut parallel to the bases, of length 3. We now want to further divide these two new trapezoids, always by cuts parallel to the bases, into $m$ and $n$ trapezoids, respectively, so that all $m+n$ trapezoids obtained have the same area. Determine the minimum possible value for $m+n$ and the lengths of the cuts to be made to achieve this minimum value.