Thank you, Ralph. Okay. So you asked -- the first question was about the home screen. So the home screen just to remind everyone, we are completely changing the home screen of Duolingo, which is a pretty large change. So the home screen used to be this thing that we call the tree where users had a lot of options about where -- what to learn next to a linear path that where users -- we're basically going to be guiding users what to learn next. And we've talked about this. This is something that we're currently -- it's currently being still tested. We're being very careful with such large changes, we usually are pretty careful with them. So we're testing it, but it's currently live for a fraction of our users on iPhones, Androids and web. So on all our platforms, it's currently live. The results so far are great in that it's exactly what we expected. And just to remind everyone with what we expected with these results. This is a brand-new version of the home screen. The previous home screen was there for years. I don't know how many years, 5, 6 years or something like that. And it was hugely optimized. This new version is a brand new version that hasn't been optimized. And all we were looking for when we put this there is parity of metrics. If we're able to achieve parity of metrics with an unoptimized home screen versus the highly optimized sort of local maximum thing that we had before, then this is a really good position to be in because we can take the unoptimized one and then optimize it like crazy. And so far, it's looking like that. So far, it's looking like the metrics that we have pretty much parity of metrics. And so it's exactly what we wanted. My estimate is that we're going to be rolling it out to all our users like really, basically, there will be no users that don't have it by the end of the quarter. That's my estimate. And so we're looking pretty good with the home screen. The regional pricing, again, this is something else just to remind everyone, when we IPO-ed, we had the same price in every single geography. And that really was the price -- that was a good price for the United States and maybe Western Europe, but it was not a great price for most countries in the world. Over the last year, we've basically changed the prices in most countries. We've regionalized prices. It took us a while to do this because when we run the experiment to change the prices, we really are trying to measure what that's going to do for our long-term bookings and kind of we're looking for lifetime value of users and we're trying to see what it does for recurring digital subscriptions, so renewals and everything. So it took us a while to do this. But by now, the prices are pretty good for most countries as in they are what you would expect given the GDP of each country, for example. Now what that did is for countries like the U.S., the prices didn't change all that much, so that's good. And then most of the big changes were usually for poor countries, the prices went down quite a bit. And we see that as a first step of many that need to be taken to monetize the poor countries. So we obviously monetize countries like the U.S. or Western Europe. We monetize a lot better there than we would monetize in a country like Brazil or like Peru or Vietnam or something like that. And in order to really monetize well in those countries -- in the poor countries, I think just a number of things need to happen. The first step is that your price needs to be right. We did that. And so that was a win, and it increased -- it was an increase in bookings, but it wasn't like a 10x, like sometimes people think, Oh, now you have the right price. So you're just going to 10x bookings in Brazil or something not what happened and that we didn't expect that to happen because a number of other things need to happen in places like Brazil or like in India or something like that. For example, just people are not as used to paying for recurring digital subscriptions. So another thing that we need to do is probably we need to work on kind of more à la carte in-app purchases. To improve that, we also need to probably improve forms of payment that sometimes people just don't have the right form of payment. So this is just a number of things that we need to do, and this was step number one.