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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During the 11th Annual Meeting to be held in Sochi from October 22 to 24, experts of the Valdai International Discussion Club will focus on whether the global community will develop ground rules for the world politics or whether it will be a game without any rules where everyone fend for themselves.