Created
January 9, 2015 13:26
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object manyPrizes { | |
def getMinWin(N: Int, P: Int): Int = { | |
val lastTeam = BigInt(2).pow(N).toInt - 1 | |
(lastTeam to (lastTeam - P + 1) by -1).map(BigInt(_).bitCount).min | |
} //> getMinWin: (N: Int, P: Int)Int | |
def defeatTeamNum(numWin: Int): Int = BigInt(2).pow(numWin).toInt - 1 | |
//> defeatTeamNum: (numWin: Int)Int | |
def maxTeamNum(N: Int, defeatNum: Int): Int = BigInt(2).pow(N).toInt - 1 - defeatNum | |
//> maxTeamNum: (N: Int, defeatNum: Int)Int | |
def getLuckyTeam(N: Int, P: Int): Int = maxTeamNum(N, defeatTeamNum(getMinWin(N, P))) | |
//> getLuckyTeam: (N: Int, P: Int)Int | |
def getStrongTeam(N: Int, P: Int): Int = 0 //> getStrongTeam: (N: Int, P: Int)Int | |
getMinWin(3, 4) //> res0: Int = 1 | |
getMinWin(3, 5) //> res1: Int = 1 | |
getMinWin(3, 3) //> res2: Int = 2 | |
defeatTeamNum(1) //> res3: Int = 1 | |
defeatTeamNum(2) //> res4: Int = 3 | |
defeatTeamNum(3) //> res5: Int = 7 | |
defeatTeamNum(4) //> res6: Int = 15 | |
maxTeamNum(3, 1) //> res7: Int = 6 | |
maxTeamNum(3, 3) //> res8: Int = 4 | |
maxTeamNum(3, 7) //> res9: Int = 0 | |
getLuckyTeam(3, 4) //> res10: Int = 6 | |
getLuckyTeam(3, 5) //> res11: Int = 6 | |
getLuckyTeam(3, 3) //> res12: Int = 4 | |
} |
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