# Logik game

Letter game Logik is a two player game, which 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 written word coincides with the imaginary word, and is also on the correct position; the second number indicates how many letters written word is contained in the imaginary word, but is not the right place.

4. Steps 2 and 3 are repeated until the second player imaginary word guess.

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 next move was meant by the word guessed. Determine which word

it was.

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

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 written word coincides with the imaginary word, and is also on the correct position; the second number indicates how many letters written word is contained in the imaginary word, but is not the right place.

4. Steps 2 and 3 are repeated until the second player imaginary word guess.

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 next move was meant by the word guessed. Determine which word

it was.

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

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#### To solve this verbal math problem are needed these knowledge from mathematics:

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