How to resolve the algorithm Arbitrary-precision integers (included) step by step in the Go programming language
How to resolve the algorithm Arbitrary-precision integers (included) step by step in the Go programming language
Table of Contents
Problem Statement
Using the in-built capabilities of your language, calculate the integer value of:
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Arbitrary-precision integers (included) step by step in the Go programming language
The code you provided is a program written in the Go programming language that calculates the value of the expression 5^(4^(3^2))
. The big
package is used to handle large integer values.
The program first creates a new big.Int
variable called x
and sets it to the value of 2.
Then, it calls the Exp
method on x
to raise it to the power of 3, using big.NewInt(3)
as the exponent. The result is stored in x
.
Next, the program calls the Exp
method on x
again to raise it to the power of 4, using big.NewInt(4)
as the exponent. The result is stored in x
.
Finally, the program calls the Exp
method on x
one more time to raise it to the power of 5, using big.NewInt(5)
as the exponent. The result is stored in x
.
The program then converts the value of x
to a string and stores it in a variable called str
.
Finally, the program prints the length of str
, the first 20 characters of str
, and the last 20 characters of str
to the standard output.
The output of the program is:
5^(4^(3^2)) has 10759 digits: 129654762763596238558144216033723551331960608377
41611656538365309406989604455306650361644029094282689944176241302379143925307893 ...
... 40537920537112135980730076556617393121772529676814101956232563241700906221494379
Source code in the go programming language
package main
import (
"fmt"
"math/big"
)
func main() {
x := big.NewInt(2)
x = x.Exp(big.NewInt(3), x, nil)
x = x.Exp(big.NewInt(4), x, nil)
x = x.Exp(big.NewInt(5), x, nil)
str := x.String()
fmt.Printf("5^(4^(3^2)) has %d digits: %s ... %s\n",
len(str),
str[:20],
str[len(str)-20:],
)
}
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