In Kryvyi Rih, the birthplace of Ukrainian President Volodymyr Zelensky, a five-storey building was destroyed, according to the governor of the Dnipro region that includes the city.
According to the governor, Serhiy Lysak 3 residents died while 25 were injured with several others still under the rubble.
Lysak said three cruise missiles were shot down but others got through.
Air raid alerts were sounded across Ukraine as the capital Kyiv and the northeast city of Kharkiv also came under missile and drone attacks.
The fresh wave of air attacks came after Ukraine claimed to have retaken several villages and made advances in its counter-offensive against Russian forces
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