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package main
import (
"os"
"fmt"
"math"
"strconv"
)
type MaybeNat string
func (str MaybeNat) Nat() Nat {
n, err := strconv.Atoi(string(str))
if err == nil {
return(Nat(n))
} else {
return(Nat(0))
}
}
func (str MaybeNat) isNatural() bool {
return(str.Nat() > 0)
}
type Nat int64
func (n Nat) String() string {
return fmt.Sprintf("%d", n)
}
func maxPowerFactor (n Nat) Nat {
return Nat(math.Floor(math.Sqrt(float64(n))))
}
func usage () {
fmt.Println("Usage: go run ch-2.go <a positive integer>" )
}
func main() {
if len(os.Args[1:]) != 1 {
usage()
os.Exit(1)
}
if MaybeNat(os.Args[1]).isNatural() == false {
usage()
os.Exit(2)
}
n := MaybeNat(os.Args[1]).Nat()
for f := maxPowerFactor(n); f > 1; f-- {
pow := math.Log( float64(n) ) / math.Log( float64(f) )
if math.Floor(pow) == pow {
fmt.Println("1 as " + f.String() +
"^" + Nat(pow).String() + " = " + n.String())
os.Exit(0)
}
}
fmt.Println("0")
os.Exit(3)
}
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