func Euler29() string {
distinct := make(map[string]int)
for a := 2; a <= 100; a++ {
for b := a; b <= 100; b++ {
distinct[bigextension.Pow(big.NewInt(int64(a)), int64(b)).String()] = 0
distinct[bigextension.Pow(big.NewInt(int64(b)), int64(a)).String()] = 0
}
}
return fmt.Sprint(len(distinct))
}
func Euler16() string {
str := bigextension.Pow(big.NewInt(2), 1000).String()
sum := 0
digit := 0
for _, char := range str {
digit, _ = strconv.Atoi(string(char))
sum += digit
}
return fmt.Sprint(sum)
}