And those who took part in the often hysterical display of sorrow but who may not have shed "genuine tears" could be sent to re-education camps, the South Korean Daily NK website reported.
The decision follows the completion of "criticism sessions" at people's courts across North Korea. Kim died in December aged 69, after 17 years as head of the country.
KCNA also reported that Kim's death was marked by plunging temperatures, mourning bears and flocks of magpies.
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