Answer:
1956 Winter Olympics - 32
Australia
Austria
Belgium
Bolivia
Bulgaria
Canada
Chile
Czechoslovakia
Finland
France
Great Britain
Greece
Germany
Hungary
Iran
Iceland
Italy
Japan
South Korea
Lebanon
Liechtenstein
Netherlands
Norway
Poland
Romania
Spain
Switzerland
Sweden
Turkey
United States
Soviet Union
Yugoslavia
1956 Summer Olympics - 72
Afghanistan
Argentina
Australia
Austria
Bahamas
Belgium
Bermuda
Brazil
British Guiana
Bulgaria
Burma
Cambodia
Canada
Ceylon
Chile
Republic of China
Colombia
Cuba
Czechoslovakia
Denmark
Egypt
Ethiopia
Fiji
Finland
France
Germany
Great Britain
Greece
Hong Kong
Hungary
Indonesia
India
Iran
Ireland
Iceland
Israel
Italy
Jamaica
Japan
Kenya
South Korea
Liberia
Luxembourg
Malaya
Mexico
Netherlands
Nigeria
North Borneo
Norway
New Zealand
Pakistan
Peru
Philippines
Poland
Portugal
Puerto Rico
Romania
South Africa
Singapore
Soviet Union
Spain
Sweden
Switzerland
Thailand
Trinidad and Tobago
Turkey
Uganda
Uruguay
United States
Venezuela
Vietnam
Yugoslavia