It's a big week for Future-of-Europe junkies.

European Commission President Jean-Claude Juncker is set to offer his vision in a State of the Union speech Wednesday morning in Strasbourg. EU leaders — apart from Britain's Theresa May — will meet Friday in Bratislava to kick around ideas on how the bloc can function better in a post-Brexit world.

Both events will be watched closely for signs of how Europe's political leaders hope to change the currently prevalent EU narrative of a union struggling in the face of economic and social crises, rising isolationism and populism, and the ever-present threat of terrorism.

It's not as if they don't have options to choose from. For years, as EU political woes have mounted, a variety of proposals have been put forward for getting Europe out of its existential funk -- from imposing new rules on economic governance to focusing on youth unemployment.

The ideas come from all levels: political heavyweights such as German Chancellor Angela Merkel and French President François Hollande, top bankers, leading thinkers, random MEPs.

Now here's your chance to weigh into the debate. Below we present 12 proposals for 'fixing' Europe. Some ideas overlap, some have been around since the founding days of the European Union, some are so far outside the mainstream as to have little chance of ever being adopted.

Scroll to the bottom of the list to vote for your favorite ideas for saving Europe — and to suggest your own.

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Focus on security, economy and youth employment

This is not so much a real agenda for reform but rather a mashup of the three areas in which cooperation among EU countries seems most possible. That's according to leaders of the bloc's three largest countries not including the U.K.: Germany's Merkel, France's Hollande and Italy's Matteo Renzi, who have held a series of "what now" mini-summits since the British vote.

So far not much has been achieved in terms of further integration in these fields, but European Council President Donald Tusk has signaled he wants to make at least the first two items the focus in Bratislava. Other EU leaders are also pushing ideas for boosting European security, though they may have less wide support. Hungary's Viktor Orbán and the Czech PM Bohuslav Sobotka have called for an EU army, but other leaders scrupulously avoid that concept.

At the end of June, Federica Mogherini, the EU foreign policy chief, put forward a new Global Strategy for further military integration. The idea initially got lost in the post-U.K. referendum shuffle, but was later broadly endorsed by EU foreign ministers. Mogherini hopes to give it more momentum this week.

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A eurozone government

The idea of a two-speed EU — with a slow lane for some countries and a faster one for others that support more integration — has long been a favorite of die-hard Europeans who see it as the only way forward. That was even before the U.K. referendum created a third possibility: an exit lane. Notable proponents have included German Finance Minister Wolfgang Schäuble, Italian Foreign Minister Paolo Gentiloni and former French Economy Minister Emmanuel Macron.

The problem has been agreeing on what that means — and also getting past the eye-rolling of opponents who say it's an old idea that is going nowhere at any speed.

François Hollande has tried to bring the matter into sharper focus, arguing that the EU should have a separate level of governance for eurozone members, including turning the Eurogroup of finance ministers into a quasi-government with its own budget, and also creating a separate eurozone parliament.

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More technocracy, less politics

Now that the European Commission claims to be more "political," should it still have the power to scrutinize national budgets? Germany's central bank president, Jens Weidmann, thinks maybe not. He's called for an independent body to oversee eurozone countries' compliance with budget rules. In a much-discussed paper he wrote last year, Weidmann argues that the European Commission has been “lax” and "politically motivated" in its application of EU budget rules, undermining the credibility of the euro. As if to prove Weidmann's point, Juncker is now pushing for countries to get some more wiggle room when it comes to budget rules.

Weidmann isn't the only one who wants to strengthen the EU's technocracy. Germany's Schäuble last year floated the idea of giving some Commission powers, such as oversight of competition rules and the internal market, to independent authorities modeled on the German federal cartel office. The Commission, though, has pressed ahead with its political priorities on competition and internal market issues — most recently in its landmark Apple case.

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A recession shock-absorber

Here's an idea put forward many times by Italian Finance Minister Pier Carlo Padoan: a common EU unemployment insurance plan, seen as crucial to helping Europeans cope with economic downturns. It's also a favorite of several think tanks and of the French government.

According to the European Parliamentary Research Service, the creation of a minimum common employment insurance regime “would provide a counter cyclical stabilization mechanism for the economy” and help make recessions less deep. The Parliament's in-house think tank thinks "an EU-level mechanism could potentially act as a shock absorber to cushion both asymmetric and symmetric shocks to the economy, and thus overcome coordination failures and individual member states’ crisis-related budget constraints.”

Italy plans to push the idea again this week in Bratislava.

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Give power back to member countries

The Visegrad group of Central European countries (Poland, Hungary, Slovakia and Czech Republic) are expected to present their own proposal for reforming the EU at this week's summit in Bratislava. But they've already made some of their views clear — especially when it comes to where the EU's balance of power should lie: It should shift from Brussels to national capitals.

“We see the need to enhance control over the EU decision-making processes by member states,” Polish Prime Minister Beata Szydło told a Visegrad meeting in July. She added that the Commission had failed to learn a lesson from Brexit, stressing that “changes that the EU wants to undertake should ultimately be approved by national parliaments.”

In other words, give up any dream that the European Union could one day become a federal state.

Hungarian Prime Minister Viktor Orbán is on a similar line. He wants to expand Europe's borders to include new members in a more loosely conceived alliance, in which member countries cooperate but national governments regain full sovereignty.

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Give power to the parliamentarians

The EU has a lot of presidents, and in a report issued last year five of them argued in favor of a plan to strengthen Europe's Economic and Monetary Union. A key part of their recommendations was a call for greater parliamentary involvement and control of economic policy — at national and European level, especially when it comes to country-specific recommendations and national reform programs.

The aptly named “Five Presidents’ Report,” by Juncker, the Council's Donald Tusk, Eurogroup's Jeroen Dijsselbloem, the European Central Bank's Mario Draghi and the European Parliament's Martin Schulz set out three different stages for boosting the EU economy. But the most ambitious parts would not take place until after 2017, when France and Germany hold elections.

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Give more power to leaders

“We have to abandon liberal methods and principles of organizing a society, as well as the liberal way to look at the world,” said Hungary's Orbán in a speech in 2014. “When I mention the European Union, I am not doing this because I think it is impossible to build an illiberal nation state within the EU. I think this is possible.”

Orbán listed Russia, Turkey and China as examples of “successful” nations, “none of which is liberal and some of which aren’t even democracies.”

Some Hungarian diplomats said the speech was addressed to a national audience as part of an attack on a rival party and was not meant to have such an impact.

But in the two years since, it's a theme that has caught on. In the U.S. presidential election campaign, Republican nominee Donald Trump has expressed admiration for leaders like Putin, and disdain for the EU.

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Create a United States of Europe

This idea has existed since the birth of what is now the European Union.

The phrase sends chills down the spine of many a Brit, but it was perhaps most famously used by Winston Churchill. “We must build a kind of United States of Europe," the British leader said in a 1946 speech in Zurich. "In this way only will hundreds of millions of toilers be able to regain the simple joys and hopes, which make life worth living. The process is simple. All that is needed is the resolve of hundreds of millions of men and women to do right instead of wrong and to gain as their reward blessing instead of cursing.”

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Get rid of the European Council

Ulrike Lunacek, an Austrian MEP and a former Green Party candidate for the European Commission presidency, has a radical idea for restructuring how the EU does business: Turn the Council into a kind of Senate.

She wants to establish a bicameral legislative system that would remake the Council as a chamber of representatives of national governments which, together with the European Parliament, comprises the legislature.

Lunacek's proposal would also give the Parliament something it has never had before: the right to propose legislation.

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Direct election of a European president

“A Europe-wide election for the presidency of the Commission or Council is the most direct way to involve the public,” wrote Tony Blair in 2013.

Blair, who at one time may have envisioned himself transitioning nicely into one of those jobs, is not the first European politician to put forward the idea of a direct election of EU presidents. Even German Finance Minister Wolfgang Schäuble has called for a directly elected Commission president.

The 2014 European elections featured a nod toward public participation in the election of the Commission president. Each of the main EU political groups nominated a spitzenkandidat, a German term for “top candidate.” It was part of a process in which EU countries were supposed to choose a Commission president by "taking into account" the European election result. Juncker was the first president chosen in this way.

But after the Brexit vote and the prospect of other controversial referendums across Europe, it's unclear how much appetite there is in the EU for giving the people even more of a say in choosing the top Eurocrats.

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Let Turkey join the EU

Did David Cameron really say that? Yes, the former British prime minister said in December 2014 that the EU without Turkey “is not stronger but weaker.” Asked if he still felt that way despite his government’s inability to control migration to the U.K. from other EU countries, he replied that this was “a longstanding position of British foreign policy which I support.” France's Hollande has, in the past, also cautiously backed Turkey's aim to join the EU. As part of its deal with Turkey to control migration, the EU has agreed to re-open long-stalled accession talks. But after July's failed coup, Turkey's EU membership seems a long way off.

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Let Greece leave the euro

With Brexit, migration and terrorism at the top of the EU crisis hit parade, it's easy to forget that southern Europe is still struggling with the impact of the 2011 debt crisis. Some say the problem is the single currency, and that leaving the euro is still the best option for Greece (or other countries struggling economically). Leading the charge on that front is American economist Paul Krugman, who wrote last summer that “unless Greece receives really major debt relief, and possibly even then, leaving the euro offers the only plausible escape route from its endless economic nightmare.”

In Europe, Hans-Werner Sinn, president of the influential German Ifo Institute for Economic Research, wrote that “there are not many issues on which I agree with my colleagues Paul Krugman and Joseph E. Stiglitz and the former Greek finance minister Yanis Varoufakis. But one of them is the view that an exit from the eurozone would be advisable for Greece.”

The idea resonates in other countries, too. In Italy the 5Star movement wants to hold a referendum on the single currency.

This poll has now closed. Check the results here.