HONG KONG — More than a week after a fire tore through a Hong Kong housing complex, killing 159 people, the city is confronting a major challenge. It must find homes for the thousands of residents who survived with little more than the clothes on their backs.

The government is already facing questions over its role in the worst tragedy to befall the city in seven decades. Now, survivors of the deadly fire are looking to the government to help them start over in one of the world’s most expensive and unequal places to live, where the average living space is smaller than a one-car garage.

The residential towers in Wang Fuk Court were home to more than 4,900 residents, many of them from working-class families who bought their subsidized homes through a government program and had lived there

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