A rope with two mass-less platforms at its two ends passes over a fixed pulley as shown in the figure. Discs with narrow slots and having equal weight of 20N each can be placed on the platforms. The number of discs placed on the left side platform is 𝑛 and that on the right side platform is 𝑚.

It is found that for 𝑛 = 5 and 𝑚 = 0, a force 𝐹= 200 N (refer to part (i) of the figure) is just sufficient to initiate upward motion of the left side platform. If the force 𝐹 is removed then the minimum value of 𝑚 (refer to part (ii) of the figure) required to prevent downward motion of the left side platform is______ (in integer).