Gov. Mark Dayton and the Republicans' two top legislative leaders said Wednesday that they will spend all day Friday and Saturday behind closed doors trying to resolve the state's $5 billion budget deficit.With eight days left before a possible state government shutdown, Senate Majority Leader Amy Koch and House Speaker Kurt Zellers emerged from an hour-long meeting with the DFL governor to announce that the all-day sessions would hopefully lead to an agreement."Whatever it takes -- we said all day Friday, all day Saturday," Koch told reporters.Added Zellers: "It's the three of us alone in a room."But while the two Republican leaders said that they planned to push Dayton to reach agreement on individual budget bills – such as funding for transportation and K-12 education – on a one-by-one basis, a Dayton spokesman said afterward that the governor had not backpedaled from his pledge to first arrive at an overall state budget figure and not resolve the budget on a piecemeal basis."He's open to trying any and everything to get resolution on the budget," Bob Hume, a Dayton spokesman, said of the all-day meetings.