Logik game

Letter game Logik is a two-player game that has the following rules:
1. The first player thinks five-letter word in which no letter is not
repeated.
2. The second player writes a five-letter word.
3. The first player answers two numbers. The first number indicates how many letters of the written word coincide with the imaginary word and are also in the correct position. The second number indicates how many letters of the written word are contained in the imaginary word but are not in the right place.
4. Steps 2 and 3 are repeated until the second player's imaginary word guesses.
Recording one game of two friends looked like this:
SONET 1 2
MUDRC 0 2
PLAST 0 2
KMOTR 0 4
ATOLY 1 1
DOGMA 0 2

The word meant the next move guessed. Determine which word
it was.

Note:
Our presented solution contains a program in PHP language, which will quickly and painlessly solve the given combination of letters - by brute force.

Correct answer:

x = STROM

Step-by-step explanation:

x = STROM
function match($s1, $s2, $q, $w)
{
    $a = $b = 0;
    for($i=0;$i<5;$i++)
    {
        if($s1{$i} == $s2{$i})
        {
            $a++;
        }
        else
        {
            $b += strpos($s2, $s1{$i})!==false;
        }
    }

    return $a == $q && $b == $w;
}

for($a=65; $a<91; $a++)
{
    for($b=65; $b<91; $b++)
    {
        for($c=65; $c<91; $c++)
        {
            for($d=65; $d<91; $d++)
            {
                for($e=65; $e<91; $e++)
                {
                    $s=chr($a).chr($b).chr($c).chr($d).chr($e);
                    if(!match($s,"SONET", 1, 2)) continue;
                    if(!match($s,"MUDRC", 0, 2)) continue;
                    if(!match($s,"PLAST", 0, 2)) continue;
                    if(!match($s,"KMOTR", 0, 4)) continue;
                    if(!match($s,"ATOLY", 1, 1)) continue;
                    if(!match($s,"DOGMA", 0, 2)) continue;

                    echo $s;
                    exit;
                }
            }
        }

    }
}


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Tips for related online calculators
See also our permutations calculator.
Would you like to compute the count of combinations?

You need to know the following knowledge to solve this word math problem:

combinatoricsbasic operations and conceptsGrade of the word problem

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