Let $C^{p,q}$ be a bicomplex with differentials $d_h:C^{p,q} \to C^{p+1,q}$ and $d_v:C^{p,q} \to C^{p,q+1}$ where $d_h \circ d_v = d_v \circ d_h$. Let $D^{p,q}$ be another bicomplex defined similarly.

Assume that $C^{p,q} = D^{p,q} = 0$ if $p<0$ or $q>0$. Also, assume that there is a map of bicomplexes $f:C^{p,q} \to D^{p,q}$ which induces quasi-isomorphisms $f^{\bullet,q}:C^{\bullet,q} \to D^{\bullet,q}$ for each $q$.

1) Does $f$ induce a quasi-isomorphism $\text{Tot}^{\Pi}(f):\text{Tot}^{\Pi}(C) \to \text{Tot}^{\Pi}(D)$?

2) Does $f$ induce a quasi-isomorphism $\text{Tot}^{\oplus}(f):\text{Tot}^{\oplus}(C) \to \text{Tot}^{\oplus}(D)$?