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★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★ Given an integer n, find the closest integer (not including itself), which is a palindrome. The 'closest' is defined as absolute difference minimized between two integers. Example 1: Input: "123" Output: "121" Note:
给定一个整数 n ,你需要找到与它最近的回文数(不包括自身)。 “最近的”定义为两个整数差的绝对值最小。 示例 1: 输入: "123" 输出: "121" 注意:
Runtime: 16 ms
Memory Usage: 20.3 MB
1 class Solution { 2 func nearestPalindromic(_ n: String) -> String { 3 var arr:[Character] = Array(n) 4 var i:Int = 0 5 var j:Int = arr.count - 1 6 while(i < j) 7 { 8 arr[j] = arr[i] 9 i += 1 10 j -= 1 11 } 12 var curP:String = String(arr) 13 var preP:String = nearestPalindrom(curP, false) 14 var nextP:String = nearestPalindrom(curP, true) 15 16 var num:Int = Int(n)! 17 var cur:Int = Int(curP)! 18 var pre:Int = Int(preP)! 19 var next:Int = Int(nextP)! 20 21 var d1:Int = abs(num - pre) 22 var d2:Int = abs(num - cur) 23 var d3:Int = abs(num - next) 24 25 if num == cur 26 { 27 return d1 <= d3 ? preP : nextP 28 } 29 else if num > cur 30 { 31 return d2 <= d3 ? curP : nextP 32 } 33 else 34 { 35 return d1 <= d2 ? preP : curP 36 } 37 } 38 39 func nearestPalindrom(_ curP:String,_ dir:Bool) -> String 40 { 41 var k:Int = curP.count >> 1 42 var p:Int = curP.count - k 43 var l:Int = Int(curP.subString(0, p))! 44 l += (dir ? 1 : -1) 45 46 if l == 0 47 { 48 return k == 0 ? "0" : "9" 49 } 50 var left:String = String(l) 51 var right:String = String(left.reversed()) 52 if k > left.count 53 { 54 right.append("9") 55 } 56 return left + right.subString(right.count - k) 57 } 58 } 59 60 extension String 61 { 62 // 截取字符串:指定索引和字符数 63 // - begin: 开始截取处索引 64 // - count: 截取的字符数量 65 func subString(_ begin:Int,_ count:Int) -> String { 66 let start = self.index(self.startIndex, offsetBy: max(0, begin)) 67 let end = self.index(self.startIndex, offsetBy: min(self.count, begin + count)) 68 return String(self[start..<end]) 69 } 70 71 // 截取字符串:从index到结束处 72 // - Parameter index: 开始索引 73 // - Returns: 子字符串 74 func subString(_ index: Int) -> String { 75 let theIndex = self.index(self.endIndex, offsetBy: index - self.count) 76 return String(self[theIndex..<endIndex]) 77 } 78 } 24ms 1 class Solution { 2 func nearestPalindromic(_ n: String) -> String { 3 let smallArr = ["1":"0","2":"1","3":"2","4":"3","5":"4","6":"5","7":"6","8":"7","9":"8","10":"9","11":"9",] 4 if let s = smallArr[n]{ 5 return s 6 } 7 var half = n.count/2 8 var mid = 0 9 if n.count % 2 == 1{ 10 half += 1 11 mid = 1 12 } 13 let backHalf = n.count - half 14 let a = Int(n.prefix(half)) ?? 1 15 let b = Int(n.suffix(backHalf)) ?? 0 16 var r1:Int = Int.max 17 var r2:Int = Int.max 18 var r3:Int = Int.max 19 20 //退位的问题 遇到 10..0 || 10..1 21 if a%10 == 0 && b <= 1{ 22 var res = "" 23 for _ in 1..<n.count{ 24 res.append("9") 25 } 26 return res 27 } 28 29 //前位数-1 30 if a % 10 != 0{ 31 if mid == 1{ 32 r1 = b + complement(reversed((a - 1) / 10),backHalf) 33 }else{ 34 r1 = b + complement(reversed((a - 1)),backHalf) 35 } 36 } 37 //不变 38 if mid == 1{ 39 r2 = b - reversed(a/10) 40 }else{ 41 r2 = b - reversed(a) 42 } 43 r2 = (r2 > 0) ? r2 : -r2 44 45 var jinwei = false 46 //前位数+1 47 if !isTensTimes(a+1){//判断是否会进位 48 if mid == 1{ 49 r3 = complement(b,backHalf) + reversed((a + 1)/10) 50 }else{ 51 r3 = complement(b,backHalf) + reversed((a + 1)) 52 } 53 }else{ 54 r3 = complement(b,backHalf) + 1 55 jinwei = true 56 } 57 58 if r2 == 0{ 59 r2 = r2 == 0 ? Int.max : r2 60 } 61 62 var re = 1 63 if r1 <= r2 && r1 <= r3{ 64 re = -1 65 }else if r2 <= r3 && r2 <= r1{ 66 re = 0 67 } 68 69 //拿进位的结果 70 if re == 1 && jinwei == true{ 71 var res = "1" 72 for _ in 1..<n.count{ 73 res.append("0") 74 } 75 res.append("1") 76 return res 77 } 78 79 80 let resultHead = a + re 81 82 var resultBack = String(resultHead) 83 if n.count % 2 == 1{ 84 resultBack = String(resultBack.prefix(resultBack.count-1)) 85 } 86 resultBack = String(resultBack.reversed()) 87 return String(resultHead)+resultBack 88 } 89 90 func complement(_ num:Int,_ length:Int) -> Int { 91 var big = 1 92 for _ in 0..<length{ 93 big *= 10 94 } 95 return big - num 96 } 97 98 func reversed(_ num:Int) -> Int{ 99 var s = String(num) 100 s = String(s.reversed()) 101 return Int(s)! 102 } 103 104 //是否是10的倍数 105 func isTensTimes(_ num:Int) -> Bool{ 106 let s = String(num) 107 let back = String(s.suffix(s.count-1)) 108 let newNum = Int(back) 109 if newNum == 0{ 110 return true 111 } 112 return false 113 } 114 }
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