@echo off & setlocal enableDelayedExpansion

set "n=5"
set "k=2"
set "s=1"
echo n=5 k=2 s=1
call :josephus

echo.

set "n=41"
set "k=3"
set "s=1"
echo n=41 k=3 s=1
call :josephus

echo.

set "n=41"
set "k=3"
set "s=3"
echo n=41 k=3 s=3
call :josephus

pause > nul
exit

:josephus
set "surv-list="
for /l %%a in (!s!,-1,1) do (
    set /a "m=%%a - 1"

    for /l %%b in (%%a,1,!n!) do set /a "m=(m + k) %% %%b"

    if defined surv-list ( set "surv-list=!surv-list! !m!" ) else set "surv-list=!m!"
)
echo Survivor(s): !surv-list!
goto :eof