我编写了上面引用的简单代码,以检查斐波那契数列中的整数是否不包含0或5,如果整数仅包含1,2,3,4,6,7,8,则减少到1237。 9位数字;如果是这样,则打印该序列的成员。从数字游戏的角度来看,有趣的是,斐波那契数列中只有23个这样的整数。
当整数变大时,我必须使用Swift-BigInt库:
func getFib1237s() {
// Some temporary variables.
var a = BInt(0)
var b = BInt(1)
var m = BInt(1)
var i = BInt(0)
var z = BInt(1)
// Get the numbers until crash...
while i < z {
let temp = a
a = b
b = b + temp
print("a: ", a)
var str = String(a)
print("String start: ", str)
str = str.replacingOccurrences(of: "9", with: "3")
print("String after 9 reducto: ", str)
str = str.replacingOccurrences(of: "6", with: "23")
print("String after 6 reducto: ", str)
str = str.replacingOccurrences(of: "8", with: "2")
print("String after 8 reducto: ", str)
str = str.replacingOccurrences(of: "4", with: "2")
print("String after 4 reducto: ", str)
if (str.firstIndex(of:"5") == nil) && (str.firstIndex(of: "0") == nil) && str.contains("1") && str.contains("2") && str.contains("3") && str.contains("7") {
print(m, "Fib 1237 number is ", a, " | Digits: ", str.count)
m+=1
}
i+=1
z+=1
}
}
[显然,在20位标记处或附近,String()
方法失败并引发错误,没有执行检查,因为根据调试器,该整数将完全更改为随机的其他整数。
因此,在Swift中是否有BigInt
或String
解决方法/替代方法?我编写的Ruby代码在Xcode中可以正常工作,但是我试图为此项目专门使用Swift(和金属),最终需要在iOS上进行商业/生产用途。
String(a)
调用需要String.init
的BinaryInteger
重载。此初始化程序很可能没有设计为处理超大数字。您可以使用a.asString(radix: 10)
转换为字符串。
为了使代码正常工作,您还应该:
(str.firstIndex(of: "0") == nil)
str.count
将不正确。我建议编写一个名为reduce
的单独方法,因为“减少”字符串需要很多步骤。
这里是reduce
:
func reduce(_ s: String) -> String {
let unique = String(Set(s))
let replaced = unique.replacingOccurrences(of: "9", with: "3")
.replacingOccurrences(of: "6", with: "23")
.replacingOccurrences(of: "8", with: "2")
.replacingOccurrences(of: "4", with: "2")
.replacingOccurrences(of: "0", with: "")
let sortedUniqueAgain = String(Set(replaced).sorted())
return sortedUniqueAgain
}
现在,我们只需检查此方法的返回值是否为1237:
while m <= 23 {
let temp = a
a = b
b = b + temp
let str = a.asString(radix: 10)
// note that I have declared a new let constant here, instead of assigning to str
// because otherwise str.count will be wrong
let reduced = reduce(str)
if reduced == "1237" {
print(m, "Fib 1237 number is ", a, " | Digits: ", str.count)
m+=1
}
}
输出:
1 Fib 1237 number is 317811 | Digits: 6
2 Fib 1237 number is 2178309 | Digits: 7
3 Fib 1237 number is 267914296 | Digits: 9
4 Fib 1237 number is 701408733 | Digits: 9
5 Fib 1237 number is 1134903170 | Digits: 10
6 Fib 1237 number is 72723460248141 | Digits: 14
7 Fib 1237 number is 117669030460994 | Digits: 15
8 Fib 1237 number is 8944394323791464 | Digits: 16
9 Fib 1237 number is 14472334024676221 | Digits: 17
10 Fib 1237 number is 37889062373143906 | Digits: 17
11 Fib 1237 number is 420196140727489673 | Digits: 18
12 Fib 1237 number is 1100087778366101931 | Digits: 19
13 Fib 1237 number is 1779979416004714189 | Digits: 19
14 Fib 1237 number is 2880067194370816120 | Digits: 19
15 Fib 1237 number is 19740274219868223167 | Digits: 20
16 Fib 1237 number is 83621143489848422977 | Digits: 20
17 Fib 1237 number is 927372692193078999176 | Digits: 21
18 Fib 1237 number is 781774079430987230203437 | Digits: 24
19 Fib 1237 number is 1264937032042997393488322 | Digits: 25
20 Fib 1237 number is 19134702400093278081449423917 | Digits: 29
21 Fib 1237 number is 1983924214061919432247806074196061 | Digits: 34
22 Fib 1237 number is 8404037832974134882743767626780173 | Digits: 34
23 Fib 1237 number is 162926777992448823780908130212788963731840407743629812913410 | Digits: 60