Ukraine said on Monday its troops had recaptured a fourth village from Russian forces in a cluster of settlements in the southeast, where its forces have at last claimed gains in its long-anticipated counteroffensive.

The task of ending Moscow’s occupation of southern and eastern Ukraine is daunting, given Russia’s numerical superiority in men, ammunition and air power, and the many months it has had to build deep defensive fortifications.

On Monday, soldiers were seen in video holding the Ukrainian flag in the village of Storozheve, along the Mokri Yaly river which flows northward out of Russian-held territory. Reuters confirmed the location.

A day earlier Kyiv said its forces heading south had liberated three other nearby villages: Blahodatne, Neskuchne and Makarivka.

The push is already Ukraine’s most rapid advance for seven months, though still short of a major breakthrough, with Russia believed to have a strong line of fortifications further south.

At the furthest claimed by Kyiv, it adds up to five km (three miles) in total, still some 90 km (55 miles) from the Azov Sea coast and the prize of cutting Russia’s “land bridge” to Crimea, the peninsula Moscow seized from Ukraine in 2014.

A Ukrainian defence spokesman said Russia had blown up a dam on the Mokri Yaly to make it harder for Ukrainian forces to push farther south. That came less than a week after a huge dam was destroyed on the much larger Dnipro River, causing a humanitarian catastrophe in a swathe of the south.

Kyiv has also launched assaults at other locations along the huge front line, probing for Russian weaknesses, though it has given few details so far.

Ukraine is banking on the tens of billions of dollars’ worth of weaponry, training and intelligence it has received from the West, combined with its own battlefield resolve, tactical nous and the motivation of driving an invader from its own land, to give it the edge.

It also knows it may have to show significant progress over the summer to maintain the same level of Western military, financial and political support, and one day have a chance of recovering from the loss and devastation inflicted by Moscow.

Ukraine’s armed forces said they had engaged in two dozen heavy battles in the previous 24 hours on the eastern front, near the town of Bakhmut, further south near Avdiivka and Maryinka, and further north near Bilohorivka.

They have not been providing similar detail about fighting on the southern front, where the main counteroffensive is expected.

Moscow has yet to officially acknowledge any Ukrainian advances. On Monday, Russia’s defense ministry repeated regular assertions of the past week that it had repelled attempted offensives in the Donetsk and Zaporizhzhia regions and said it had hit Ukrainian army reserve locations with long-range missiles.

But prominent Russian military bloggers said Ukrainian forces had in fact taken Blahodatne, Neskuchne and Makarivka, and were pushing on south.