Andrey K

setTimeout(function(){
  $('button').trigger('click');
}, 1000);

arr = {'a': [1,2,3], 'b': [6,7,8], 'c': [7,11,2], 'e': [45,2,10]}
res_arr = []
for key, value in arr.items():
    for v in value:
        for r in res_arr:
            if v in r['key']:
                r['value'].add(key)
                break
        else:
            res_arr.append({
                'key': set([v]),
                'value': set([key])
            })

res_dict = {}
for r in res_arr:
    key = ','.join(r['value'])
    if res_dict.get(key):
        res_dict[key].extend(r['key'])
    else:
        res_dict[key] = list(r['key'])