Let $M=\mathbb{C}[f_1,f_2,\ldots,f_r]$ is finitely generated algebra, $f_i \in S:=\mathbb{C}[x_1,x_2,\ldots,x_n],$ $\deg(x_i)=1, 1<\deg(f_i)<99.$ Suppose that minimal free resolution of $S$module $M$ has form $$ 0 \longrightarrow S(102) \longrightarrow S(50) \oplus S(20) \longrightarrow M \longrightarrow 0, $$ Is it true that the CastelnuovoMumford regularity of $M$ equals 100?
