A large Russian aerial strike on Ukraine has left the Ukrainian parliament and half of Kyiv's residential buildings without heating or power as temperatures across the country continue to hover around -10C.

President Volodymyr Zelensky, in his evening address on Tuesday, said one million people in the capital remained without power.

Drones, ballistic and cruise missiles targeted several locations in Ukraine overnight, including Kyiv, Dnipro in the centre and Odesa in the south.

Zelensky said earlier a 'significant number' of targets had been intercepted. But he also said that, in terms of air defence missile prices alone, repelling that attack had cost Ukraine about €80m (£69m).

Between Monday and Tuesday, at least four people died and 33 others were injured in strikes across Ukraine.

Air raid alerts in Kyiv lasted most of the night. Sirens rang out later as Russian drones and cruise missiles approached the capital.

On Tuesday morning, more than 5,600 residential buildings – each with dozens of flats – in Kyiv woke up to no heating. A large part of the capital also has no water.

Mayor Vitalii Klitschko said almost 80% of those buildings had just had their heating restored following a large-scale attack on 9 January, which knocked out power for much of the city. Since then, relentless efforts by technicians had managed to reinstate electricity and gas for thousands - only for that work to be undone overnight.

I have no electricity and no water, Oleksandr Palii, a 29-year-old veteran, told the BBC. I didn't sleep until 3am because of the strikes either – there were explosions all night.

Parliament speaker Ruslan Stefanchuk said that, just like Ukrainian cities, the Verkhovna Rada was also without basic services of electricity, water and heating, and he called other parliaments not to remain silent.

The Ukrainian president had been due to travel to the World Economic Forum in Davos, Switzerland, on Tuesday but, in the wake of the overnight strikes, he said he had decided to stay in Kyiv.

Temperatures have stayed well below freezing since the start of the year.

Ukrainian media has reported instances of radiators bursting due to the water in them freezing, leading to flooding in entire buildings. There have also been reports of fires starting due to people using gas heaters indoor.

As the power cuts continue, Kyiv residents are finding innovative solutions to carry on living. Many now use portable stoves to cook, and entire buildings chip in to buy generators. But much depends on individual financial capacities.

I think people who are less well-off are coping much worse, says Olha Zasiadvovk, who has a young child. She and other parents have bought lamps and thermal containers for their children's kindergarten so that when the kitchen has no electricity they can cook all the meals at once and store them.

But if electricity is only available sporadically, she says, the food doesn't keep very well. There were cases when food was cooked in the morning and by dinner the porridge had become completely solid.

In recent days, videos have circulated on social media showing Ukrainians barbecuing in snowy yards and dancing to keep warm in the face of continued power cuts and freezing temperatures. But many say this is the worst winter since the start of the full-scale war in 2022, and with no end to hostilities in sight, nerves are frayed.

In a call with reporters, he said Russia was using far more ballistic missiles in its attacks and that Moscow's capacity to produce them had not been dented. So far, this has not happened. That is why we need more missiles and more air defence systems, he said.