May-poll dance: Poland’s presidential race

No one knows which soldiers will be on the buses; many families simply come in hope. As the wider war grinds on, our correspondent witnesses a mix of joy, confusion and disappointment. Big American brands once had it easy in the global marketplace. Now they bear the brunt of anti-Trump sentiment (12:05). And Brazil’s bustling bull market—that is, market for bulls (18:28). Get a world of insights by subscribing to Economist Podcasts+. For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.

Voters will be electing each and every one of the country’s judges—removing the last meaningful check on Morena, the ruling party. Nigeria has more people without electricity than any other country, but fixing that will be fiendishly difficult (7:50). And if it is so easy to order a takeaway pizza, why are home pizza ovens all the rage (14:11)? Get a world of insights by subscribing to Economist Podcasts+. For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.

The country’s leader is in a mad rush to transform his country into an upper-middle-income powerhouse before geopolitical forces stall its rise. America’s army is being thinned out; we examine the risks of putting both weapons and generals on the chopping block (10:12). And remembering Ed Smylie, who saved the crew of Apollo 13 with a delightfully low-tech plan (17:47).  Get a world of insights by subscribing to Economist Podcasts+. For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.

Lithuania, Latvia and Estonia know their borders may be the next front for Russian aggression. They do not want to deploy mines and razor wire—but they must. Our correspondent visits the American city of Baltimore to investigate a national drop in violent crime (9:46). And a sweeping new biography of Mark Twain, who created a uniquely American style of fiction (17:19). Get a world of insights by subscribing to Economist Podcasts+. For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.

A careful study of a range of data sources suggests that Israel’s military actions in Gaza have resulted in far more deaths than published tallies indicate. The Church of England, facing declining numbers of parishioners, is selling up its properties on the cheap (14:10). And we ask whether those trendy “juice shots” confer any health benefits (20:29). Get a world of insights by subscribing to Economist Podcasts+. For more information about how to access Economist Podcasts+, please visit our FAQs page or watch our video explaining how to link your account.