Let `f_1 : (0, oo) to R` and `f_2 : (0, oo) to R` be defined by `f_1(x) = int_0^xprod_(j= 1)^21((t − j)^j)dt, x gt 0` and `f_2(x) = 98(x − 1)^50 − 600(x − 1)^49 + 2450, x gt 0`, where, for any positive integer `n` and real numbers `a_1, a_2, … , a_n, prod_(i=1)^n(a_i)` denotes the product of `a_1 , a_2, … , a_n`. Let `m_i` and `n_i`, respectively, denote the number of points of local minima and the number of points of local maxima of function `f_i, i = 1, 2`, in the interval `(0, oo)`
The value of `6m_2+4n_2+8m_2n_2` is ___.