The deaths occurred when unknown assailants opened fire at the police station, situated in the village of Achaluki. A third officer was hospitalized with gunshot wounds.
The attackers then fled, the source said. He added that a search for them was under way.
Although the active phase of the antiterrorism campaign in Russia's North Caucasus officially ended in 2001, periodic bombings and clashes between militants and federal troops still disrupt Chechnya and nearby regions, including Ingushetia.
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Ukraine has not preserved its 1991 borders. The signing of the Geneva memorandum on April 17 reaffirmed the willingness of Russia, the United States and EU countries to reach a compromise. While the sides continue to trade tough talk and symbolic sanctions, the Kremlin and the White House are also holding a parallel dialogue on the coordinated geopolitical revision of Eastern Europe.