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Write an algorithm to determine if a number is "happy".
A happy number is a number defined by the following process: Starting with any positive integer, replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 (where it will stay), or it loops endlessly in a cycle which does not include 1. Those numbers for which this process ends in 1 are happy numbers.
Example:
Input: 19 Output: true Explanation: 12 + 92 = 82 82 + 22 = 68 62 + 82 = 100 12 + 02 + 02 = 1
编写一个算法来判断一个数是不是“快乐数”。
一个“快乐数”定义为:对于一个正整数,每一次将该数替换为它每个位置上的数字的平方和,然后重复这个过程直到这个数变为 1,也可能是无限循环但始终变不到 1。如果可以变为 1,那么这个数就是快乐数。
示例:
输入: 19 输出: true 解释: 12 + 92 = 82 82 + 22 = 68 62 + 82 = 100 12 + 02 + 02 = 1
8ms
1 class Solution { 2 func isHappy(_ n: Int) -> Bool { 3 var fast = n 4 var slow = n 5 fast = sumOfSquares(fast) 6 fast = sumOfSquares(fast) 7 slow = sumOfSquares(slow) 8 while fast != slow { 9 fast = sumOfSquares(fast) 10 fast = sumOfSquares(fast) 11 slow = sumOfSquares(slow) 12 } 13 return slow == 1 14 15 } 16 17 func sumOfSquares(_ n: Int) -> Int { 18 var num = n 19 var sum = 0 20 while num > 0 { 21 let value = num%10 22 sum += value*value 23 num /= 10 24 } 25 return sum 26 } 27 }
12ms
1 class Solution { 2 func isHappy(_ n: Int) -> Bool { 3 var hasOccurredMap = Dictionary<Int, Bool>() 4 return isHappy(n, &hasOccurredMap) 5 } 6 7 private func isHappy( 8 _ n: Int, 9 _ hasOccurredMap: inout Dictionary<Int, Bool>) -> Bool { 10 guard n != 1 else { return true } 11 guard hasOccurredMap[n] == nil else { return false } 12 var m = 0 13 var temp = n 14 while temp > 0 { 15 let digit = temp % 10 16 temp /= 10 17 m += digit * digit 18 } 19 hasOccurredMap[n] = true 20 return isHappy(m, &hasOccurredMap) 21 } 22 }
12ms
1 class Solution { 2 func isHappy(_ n: Int) -> Bool { 3 var nT = n 4 5 while (nT != 1 && nT != 4) { 6 var t = 0 7 while (nT>0) { 8 t += (nT % 10) * (nT % 10) 9 nT /= 10 10 } 11 nT = t 12 } 13 return nT == 1 14 } 15 }
16ms
1 class Solution { 2 private let map:[Character: Int] = ["0" : 0, "1" : 1, "2": 2, "3": 3, "4": 4, "5": 5, "6": 6, "7": 7, "8": 8, "9": 9] 3 private var memory = Set<Int>() 4 5 func isHappy(_ n: Int) -> Bool { 6 var digits = getDigits(n) 7 var square = getSquare(digits) 8 memory.insert(square) 9 if square == 1 { 10 return true 11 } else { 12 while true { 13 digits = getDigits(square) 14 square = getSquare(digits) 15 if memory.contains(square) { 16 return false 17 } 18 memory.insert(square) 19 if square == 1 { 20 return true 21 } 22 } 23 } 24 return true 25 } 26 27 func getDigits(_ n: Int) -> [Int] { 28 var digits = [Int]() 29 for s in String(n) { 30 guard let val = map[s] else { 31 continue 32 } 33 digits.append(val) 34 } 35 return digits 36 } 37 38 func getSquare(_ digits: [Int]) -> Int { 39 var res = 0 40 for digit in digits { 41 res += digit * digit 42 } 43 return res 44 } 45 }
20ms
1 class Solution { 2 func isHappy(_ n: Int) -> Bool { 3 var prevSums: Set<Int> = Set() 4 var curr = n 5 while curr != 1 { 6 if prevSums.contains(curr) { 7 return false 8 } 9 prevSums.insert(curr) 10 let digits: [Int] = String(curr).compactMap { Int(String($0)) } 11 var newSum = 0 12 for digit in digits { 13 newSum += (digit * digit) 14 } 15 curr = newSum 16 } 17 return true 18 } 19 }
24ms
1 class Solution { 2 func isHappy(_ n: Int) -> Bool { 3 var preciuslySeen: [Int: Bool] = [:] 4 5 var check = n 6 while(check != 1) { 7 var digits = String(check).characters 8 9 let squares = digits.map { ( Int(String($0)) ?? 0 ) * ( Int(String($0)) ?? 0 ) } 10 let sum = squares.reduce(0) { $0 + $1 } 11 12 if sum == 1 { 13 return true 14 } else if preciuslySeen[sum] == true { 15 return false 16 } 17 18 preciuslySeen[sum] = true 19 check = sum 20 } 21 22 return true 23 } 24 }