The dayslong battle for the industrial city has emerged as pivotal, with Russia focusing its offensive might in its effort to capture the surrounding region.
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Ukraine said the strike hit a rail car repair works, while Moscow said it had destroyed tanks sent by Eastern European countries to Ukraine.
The U.S. is providing Ukraine with high mobility artillery rocket systems after Ukraine gave "assurances" they will not use the missiles to strike inside Russia.
With the war continuing, Russia's state gas company said it halted gas exports to Finland, which refused Moscow's demands to pay in rubles.
Allies expect Finland and Sweden to be granted membership quickly, diplomats and officials have said, paving the way for increased troop presence in the Nordic region.
Poland confirmed that supplies had been cut, while Bulgaria said it would find out soon. Both accused Russian energy firm Gazprom of breaching longstanding supply contracts.
The United States expressed doubt and disputed Putin's claim, saying it believed Ukrainian forces still held ground in the city.
Thousands of Russian troops backed by artillery and rocket barrages were advancing in what Ukrainian officials called the Battle of the Donbas.
Officials say the total bill for damage to everything from transport to homes and other buildings runs to about $500 billion so far.
The explosions appeared to be among the most significant in Ukraine's capital region since Russian troops pulled back from the area earlier this month.