The source said the incident took place on Friday afternoon in a local shop selling optics.
"An unknown suspect entered the shop and opened fire killing two policemen, who were there at the time," the source said, adding that the assailant managed to flee the scene and the search for him is underway.
Attacks on police, troops, officials, and clashes with militants have remained frequent in Chechnya although major fighting with separatists officially ended in 2001, and substantial efforts have been made to revive the troubled republic.
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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.