How to resolve the algorithm Find palindromic numbers in both binary and ternary bases step by step in the Wren programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Find palindromic numbers in both binary and ternary bases step by step in the Wren programming language
Table of Contents
Problem Statement
It's permissible to assume the first two numbers and simply list them.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Find palindromic numbers in both binary and ternary bases step by step in the Wren programming language
Source code in the wren programming language
import "/fmt" for Fmt
var isPalindrome2 = Fn.new { |n|
var x = 0
if (n % 2 == 0) return n == 0
while (x < n) {
x = x*2 + (n%2)
n = (n/2).floor
}
return n == x || n == (x/2).floor
}
var reverse3 = Fn.new { |n|
var x = 0
while (n != 0) {
x = x*3 + (n%3)
n = (n/3).floor
}
return x
}
var start
var show = Fn.new { |n|
Fmt.print("Decimal : $d", n)
Fmt.print("Binary : $b", n)
Fmt.print("Ternary : $t", n)
Fmt.print("Time : $0.3f ms\n", (System.clock - start)*1000)
}
var min = Fn.new { |a, b| (a < b) ? a : b }
var max = Fn.new { |a, b| (a > b) ? a : b }
start = System.clock
System.print("The first 6 numbers which are palindromic in both binary and ternary are :\n")
show.call(0)
var cnt = 1
var lo = 0
var hi = 1
var pow2 = 1
var pow3 = 1
while (true) {
var i = lo
while (i < hi) {
var n = (i*3+1)*pow3 + reverse3.call(i)
if (isPalindrome2.call(n)) {
show.call(n)
cnt = cnt + 1
if (cnt >= 6) return
}
i = i + 1
}
if (i == pow3) {
pow3 = pow3 * 3
} else {
pow2 = pow2 * 4
}
while (true) {
while (pow2 <= pow3) pow2 = pow2 * 4
var lo2 = (((pow2/pow3).floor - 1)/3).floor
var hi2 = (((pow2*2/pow3).floor-1)/3).floor + 1
var lo3 = (pow3/3).floor
var hi3 = pow3
if (lo2 >= hi3) {
pow3 = pow3 * 3
} else if (lo3 >= hi2) {
pow2 = pow2 * 4
} else {
lo = max.call(lo2, lo3)
hi = min.call(hi2, hi3)
break
}
}
}
You may also check:How to resolve the algorithm Show the epoch step by step in the Limbo programming language
You may also check:How to resolve the algorithm Pathological floating point problems step by step in the C programming language
You may also check:How to resolve the algorithm Disarium numbers step by step in the Ada programming language
You may also check:How to resolve the algorithm Command-line arguments step by step in the FreeBASIC programming language
You may also check:How to resolve the algorithm Greatest common divisor step by step in the Excel programming language