Grover's quantum search algorithm finds one of t solutions in N candidates by using (\pi/4)\sqrt{N/t} basic steps. It is, however, necessary to know the number t of solutions in advance for using the Grover's algorithm directly. On the other hand, Boyer etal proposed a randomized application of Grover's algorithm, which runs, on average, in O(\sqrt{N/t}) basic steps (more precisely, (9/4)\sqrt{N/t} steps) without knowing t in advance. Here we show a simple (almost trivial) deterministic application of Grover's algorithm also works and finds a solution in O(\sqrt{N/t}) basic steps (more precisely, (8\pi/3)\sqrt{N/t} steps) on average.