Quebec, Philippe Couillard and the next prime minister

With polls indicating a three-way race for Oct. 19, the outcome of the federal election isunpredictable at best.

Premier Philippe Couillard wants to know the next prime minister'swhomever that may be positionon key files close to Quebec's heart. So hesenteach party leader a letteroutlining the main issues the province is facing.

• LIVE BLOG: Get breaking news from the campaign trail

• Federal leaders' French-language debate: 5 elements to watch for tonight

After the French-language debate Thursday night, we may get a better sense of how Quebec figures into federal plans.

Couillard and the Conservatives' Stephen Harper

Both men share a similar determination for cleaning up public finances and balancing their budgets. So on that score, they appear to be of one mind.

• Stephen Harper's response to Philippe Couillard (in French)

But there are a few issues that will come up after election day where tough negotiations will need to happen to get them on the same page.

Climate change is one of those.

Quebec is taking a leading role, recently setting the most ambitious target in Canada for greenhouse gas reduction. The province feels the Conservative government has dragged its feet in the fight and has not invested enough in green technology.

But Harper and his party believe the opposite to be true. Since 2006, the party says the Conservative government hasinvested $1 billion a year in green technology, plus a $350 million grant for Quebec's Green Plan in 2007.

The other issue: how health care is funded.

Quebec wants the federal government to increase funding based on "demographic realities," rather than population size.The premier is mainly talking about the pressure placed on the system by a growing old-agepopulation.

That's a different view of how to address the funding dilemma than the Conservatives have had in the past. In 2011, former finance minister Jim Flaherty announced future funding increases will be tied to nominal GDP growth, which could actually end up as a decrease in funding. Right now, funding rises sixper cent a year.

Couillard and the NDP'sTom Mulcair

The two are former colleagues who have a cordial relationship after cutting their teeth as ministers in Jean Charest's cabinet at the National Assembly. They both have an eye on balancing budgets, and are also on the same page on climate change and the environment.

• Tom Mulcair's response to Philippe Couillard(in French)

However, the relationship could get complicated. Mulcair'svoterbase is Quebec, which means he will have to be careful with the province and pay special attention to Quebecers. This could leave the premier with a strong bargaining chip.

On the Senate, Couillard opposes getting rid of the upper chamber, a key plank of the NDP's campaign platform. On Mulcair's promise for a million daycare spots at $15 a day, Couilllard says there would need to be negotiations on opting out with compensation because of the provincial daycare program already in place.

Couillard and the Liberals'Justin Trudeau

On Senate reform, the two on are on the same side neither wants to dragthe country into gruelling constitutional talks. Trudeau's $125-billion infrastructure promise should also catch the attention of Quebec's premier it's something he's been calling for since his election last year.

• Justin Trudeau's response to Philippe Couillard(in French)

But the relationship between a Trudeau government and Quebec could be tricky. The Liberal campaign has chosen to turnits attention on Ontario voters as the ones who could sweep it into power, all but ceding Quebec ridings to the NDP.

A lot of Trudeau's entourage also hails from the most populous province, and Ontario's Premier Kathleen Wynne is actively campaigning for her federal cousin. That would make the relationship between Couillard and Trudeau tricky because Quebec's priorities would always be up against Ontario's, the place that can take credit if the Liberal leader takes the country's top job.