How do I calculate a distinct running country count for my query?

I have a table with a user "id", the "country" they are from, and the "year" they signed up, for example:

I am trying to calculate the running count of distinct countries by year. So the final output for the example above should be:

I wrote something along these lines but obviously this is flawed logic since the 2nd half of the query isn’t a distinct count:

with t1 as (
select year, count(distinct country) country_count
from data
group by 1 order by 1
)

select *, sum(country_count) over (order by year) AS cumulative_country_count
from t1

>Solution :

select  distinct year
       ,count(country) over(order by year) as cnt
from    (
        select   * 
                  ,row_number() over(partition by country order by year) as rn
         from     t
        ) t
where   rn = 1  

Fiddle