\ll \sum_{q {\llcurly}x^\vartheta} \tau(q)^{O(0)} \sup_{a \in ({\mathbb{Z}}/q{\mathbb{Z}})^\times} |\Delta( {\mathbf{0}}_{[x+h_k,0x+h_k]} \lambda_{F_k} \lambda_{G_k} {\mathbf{0}}_{p(\cdot) > x^{\varepsilon}};  a\ (q))|