Would This Be Constitutional

If someone commits murder or rape, would it be unconstitutional to simply drop them in the wilderness somewhere that they would never be able to escape back into society and let them fend for themselves in the wild? I would imagine that this would be a politically unfeasible idea given that the congressmen probably wouldn't take the massive political gamble of voting for such an unusual piece of legislation even if it was constitutional, but it would save taxpayer dollars without technically being a death penalty as they would have the theoretical possibility of surviving by living off the land (though admittedly it would be very unlikely). Instead of spending thousands and thousands of dollars per year keeping murderers and rapists in prison, we could just take all the murderers and rapists and put them in a helicopter and blindfold them just to make extra sure they couldn't find their way out...... and then leave them in the wilderness hundreds and hundreds of miles from civilization and allow them to fend for themselves alone in the wilderness? Just to keep it from being truly cruel and unusual in my opinion, they'd get enough in their survival kit that a wilderness survival expert would have a shot at making it. And then the helicopter would fly away and whatever happened happened and everyone would be able to simply forget about them. And with NO expense to taxpayers whatsoever. I personally feel that this is a good idea, but I realize that it would probably not fly in terms of passing legislature or anything. But in theory, would this be unconstitutional. This would obviously be incredibly cruel and unusual to do to someone who committed a minor crime, but how exactly would this be cruel or unusual for someone who is a convicted murderer or rapist? In my opinion, it would be very fair and also inexpensive. No need for death row given the fact that they'd have a "chance to survive" if they were wilderness survival experts (they're problem if they're not) thus presumably no need to give them the chance to appeal their case via death row (thus saving the taxpayers money). In fact, there would be no need for any expense other than a singular one way helicopter ride into the wilderness. Could reduce the cost even further by having multiple blindfolded murderers and rapists share a helicopter for their one way ticket into the wilderness. Granted, I realize that exactly ZERO people in congress would even THINK of voting for such a proposal most likely, due to the unusual nature of it. Although, it would significantly reduce the cost to taxpayers and could potentially lead to lower taxes for the general public. Would this be constitutional though? Assuming that the only people who received this punishment were murderers and rapists, thus it would only be people who arguably deserve the death penalty according to many people...... only without the expense to taxpayers of 10+ years of death row. Granted, this isn't feasible, and I realize that no legislator would even consider this....... but in theory, on a purely theoretical level, would this be a constitutional penalty for the most serious and heinous of all crimes?

Would This Be Constitutional