How to resolve the algorithm Minimum multiple of m where digital sum equals m step by step in the Go programming language
How to resolve the algorithm Minimum multiple of m where digital sum equals m step by step in the Go programming language
Table of Contents
Problem Statement
Generate the sequence a(n) when each element is the minimum integer multiple m such that the digit sum of n times m is equal to n.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Minimum multiple of m where digital sum equals m step by step in the Go programming language
The provided Go program calculates and displays a table of the smallest integer multiples (m
) for which the digit sum of the product m*n
equals n
, for n
ranging from 1 to 70. Here's a detailed explanation:
-
The program imports the
rcu
package, which provides various utility functions, includingDigitSum()
andPrintTable()
. -
The
main()
function is the entry point of the program. -
It initializes an empty slice of integers,
res
, to store the results. -
The program enters a
for
loop that iterates throughn
values from 1 to 70. -
For each
n
, it initializesm
to 1. -
Inside a nested
for
loop, the program repeatedly incrementsm
until it finds a value for which the digit sum of the productm*n
equalsn
. This is determined by callingrcu.DigitSum(m*n, 10)
. TheDigitSum()
function calculates the sum of the digits of a given integer in a specified base (10 in this case). -
Once such an
m
is found for the currentn
, it is appended to theres
slice. -
After processing all values of
n
, the program callsrcu.PrintTable()
to display the results in a tabular format. The arguments provided toPrintTable()
specify the slice of values to print, the number of columns to use (7), the cell width (10), and whether to print a header (true).
In summary, this program calculates and displays a table of the smallest integer multiples m
for which the digit sum of m*n
equals n
, for n
ranging from 1 to 70.
Source code in the go programming language
package main
import "rcu"
func main() {
var res []int
for n := 1; n <= 70; n++ {
m := 1
for rcu.DigitSum(m*n, 10) != n {
m++
}
res = append(res, m)
}
rcu.PrintTable(res, 7, 10, true)
}
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