# RGYB(color) Slots Game to guess the correct color for the correct slot

Given that you have four slots, and each slot will contain a color red (R), yellow (Y), green (G), blue (B) respectively. For example, if you select YGGR (Slot-1 is yellow, Slots-2 and -3 are green, Slot -4 is red). The colors of slots are not known to you beforehand. You will make a guess about the colors. You might, for example, guess YRGB.

When you guess the correct color for the correct slot, you get a “hit” If you guess a color that exists but is in the wrong slot, you get a “pseudo-hit:’ Note that a slot that is a hit can never count as a pseudo-hit.

Given a guess and a solution, your task is to write a program to calculate the number of hits and pseudo-hits.

Examples:

```Input: solution -> RGBY, Guess -> GGRR
Output: hit -> 1, pseudohit -> 1

Input: solution -> RGYB, Guess -> YGRR
Output: hit -> 1, pseudohit -> 2

Input: solution -> RGYB, Guess -> GGYR
Output: hit -> 2, pseudohit -> 1
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

A simple solution will be to traverse both strings simultaneously and check the characters of both strings. If both strings have same character then it is a hit and thus increment the count of hits. If the characters of strings do not match at a position, then traverse the solution string again to see if the character in guess is occurred anywhere in solution string or not, if yes increment count of pseudo hits.
Time Complexity: O(N*N) , where N is the length of string.

An efficient solution is to create a frequency array which stores how many times each character occurs in solution, excluding times when the slot is a “hit”. Then, we iterate through guess to count the number of pseudo-hits.

Below is the implementation of above approach:

## C++

 `// CPP code to solve RGYB game ` `#include ` `#include ` `using` `namespace` `std; ` `int` `hits = 0; ` `int` `pseudoHits = 0; ` ` `  `// maximum no of colors are 4 RGYB ` `int` `MAX_COLORS = 4; ` ` `  `// Function to assign code to a slot ` `// based on the color they have ` `int` `codeOfColor(``char` `c) ` `{ ` `    ``switch` `(c)  ` `        ``{ ` `        ``case` `'B'``: ``return` `0; ` `            ``case` `'G'``: ``return` `1; ` `            ``case` `'R'``: ``return` `2; ` `            ``case` `'Y'``: ``return` `3; ` `            ``default``: ` `            ``return` `-1; ` `        ``} ` `} ` ` `  `// Function to calculate number of hits ` `// and pseudo hits ` `void` `calcResult(string guess, string solution) ` `{ ` `    ``hits = 0; ` `    ``pseudoHits = 0; ` `     `  `    ``if``(guess.length() != solution.length()) ` `        ``cout<<``"Incorrect Input"``<= 0 && frequencies[codecolor] > 0 ` `                               ``&& guess[i] != solution[i])  ` `            ``{ ` `                ``pseudoHits++; ` `                ``frequencies[codecolor]--; ` `            ``} ` `        ``} ` `         `  `    ``cout << ``"hits -> "` `<< hits << ``" Psuedo hits -> "`  `                       ``<< pseudoHits << endl; ` `} ` ` `  `// Driver code to test above function ` `int` `main() ` `{ ` `    ``string solution = ``"GGRR"``; ` `    ``string guess = ``"RGBY"``; ` `          `  `    ``calcResult(solution, guess); ` `          `  `    ``solution = ``"YGRR"``; ` `    ``guess = ``"RGYB"``; ` `          `  `    ``calcResult(solution, guess); ` `} ` `// This code is contributed by Sumit Ghosh `

## Java

 `// Java code to solve RGYB game ` ` `  `import` `java.util.*; ` `import` `java.lang.*; ` `import` `java.io.*; ` ` `  `class` `CalcRes  ` `{ ` `    ``static` `int` `hits = ``0``; ` `    ``static` `int` `pseudoHits = ``0``; ` `     `  `    ``// Function to assign code to a slot ` `    ``// based on the color they have ` `    ``static` `int` `codeOfColor(``char` `c) ` `    ``{ ` `        ``switch` `(c)  ` `        ``{ ` `        ``case` `'B'``: ``return` `0``; ` `            ``case` `'G'``: ``return` `1``; ` `            ``case` `'R'``: ``return` `2``; ` `            ``case` `'Y'``: ``return` `3``; ` `            ``default``: ` `            ``return` `-``1``; ` `        ``} ` `    ``} ` `     `  `    ``// maximum no of colors are 4 RGYB ` `    ``static` `int` `MAX_COLORS = ``4``; ` `     `  `    ``// Function to calculate number of hits ` `    ``// and pseudo hits ` `    ``static` `void` `calcResult(String guess, String solution) ` `    ``{    ` `        ``hits = ``0``; ` `        ``pseudoHits = ``0``; ` `         `  `        ``if` `(guess.length() != solution.length()) ` `            ``System.out.println(``"Incorrect Input"``); ` `         `  `        ``// frequency array to store how many times  ` `        ``// each character occurs in solution string ` `        ``int``[] frequencies = ``new` `int``[MAX_COLORS]; ` ` `  `        ``// Compute hits and build frequency table  ` `        ``for` `(``int` `i = ``0``; i < guess.length(); i++)  ` `        ``{ ` `            ``if` `(guess.charAt(i) == solution.charAt(i))  ` `            ``{ ` `                ``hits++; ` `            ``}  ` `            ``else`  `            ``{ ` `                ``/*  ` `                   ``Only increment the frequency table (which will be  ` `                   ``used for pseudo-hits) if it's not a hit. If it's a  ` `                   ``hit, the slot has already been "used."  ` `                ``*/` `                ``int` `codeofcolor = codeOfColor(solution.charAt(i)); ` `                ``frequencies[codeofcolor]++; ` `            ``} ` `        ``} ` ` `  `        ``// Compute pseudo-hits  ` `        ``for` `(``int` `i = ``0``; i < guess.length(); i++)  ` `        ``{ ` `            ``int` `codeofcolor = codeOfColor(guess.charAt(i)); ` `            ``if` `(codeofcolor >= ``0` `&& frequencies[codeofcolor] > ``0` `&&  ` `                              ``guess.charAt(i) != solution.charAt(i))  ` `            ``{ ` `                ``pseudoHits++; ` `                ``frequencies[codeofcolor]--; ` `            ``} ` `        ``} ` `         `  `        ``System.out.println(``"hits -> "` `+ hits +  ` `                           ``" Psuedo hits -> "` `+ pseudoHits); ` `    ``} ` ` `  ` `  `    ``// Driver Code ` `    ``public` `static` `void` `main(String[] args) ` `    ``{    ` `        ``String solution = ``"GGRR"``; ` `        ``String guess = ``"RGBY"``; ` `         `  `        ``calcResult(solution, guess); ` `         `  `        ``solution = ``"YGRR"``; ` `        ``guess = ``"RGYB"``; ` `         `  `        ``calcResult(solution, guess); ` `    ``} ` `} `

## Python

 `# Python code to solve RGYB game ` ` `  `hits ``=` `0` `pseudoHits ``=` `0` `  `  `# maximum no of colors are 4 RGYB ` `MAX_COLORS ``=` `4` `  `  `# Function to assign code to a slot ` `# based on the color they have ` `def` `codeOfColor(c): ` `    ``if` `c ``=``=` `'B'``: ` `        ``return` `0``; ` `    ``elif` `c ``=``=` `'G'``: ` `        ``return` `1``; ` `    ``elif` `c ``=``=` `'R'``: ` `        ``return` `2``; ` `    ``elif` `c ``=``=` `'Y'``: ` `        ``return` `3``; ` `    ``else``: ` `        ``return` `-``1``; ` ` `  `# Function to calculate number of hits ` `# and pseudo hits ` `def` `calcResult(guess, solution): ` `    ``hits ``=` `0` `    ``pseudoHits ``=` `0` `    ``if` `(``len``(guess) !``=` `len``(solution)): ` `        ``print` `"Incorrect Input"` `      `  `    ``# frequency array to store how many times  ` `    ``# each character occurs in solution string     ` `    ``frequencies ``=` `[``0` `for` `i ``in` `range``(MAX_COLORS)] ` `     `  `    ``# Compute hits and build frequency table  ` `    ``for` `i ``in` `range``(``len``(guess)): ` `        ``if` `(guess[i] ``=``=` `solution[i]): ` `            ``hits ``+``=` `1` `        ``else``: ` ` `  `            ``# Only increment the frequency table (which  ` `            ``# will be  used for pseudo-hits) if it's not  ` `            ``# a hit. If it's a hit, the slot has already  ` `            ``# been "used."  ` `            ``codecolor ``=` `codeOfColor(solution[i]) ` `            ``frequencies[codecolor] ``+``=` `1` ` `  `    ``# Compute pseudo-hits  ` `    ``for` `i ``in` `range``(``len``(guess)): ` `        ``codecolor ``=` `codeOfColor(guess[i]) ` `        ``if` `codecolor >``=` `0` `and` `frequencies[codecolor] > ``0` `and` `guess[i] !``=` `solution[i]: ` `                ``pseudoHits ``+``=` `1` `                ``frequencies[codecolor] ``-``=` `1` `    ``print` `"hits -> "``, hits, ``" Psuedo hits -> "``, pseudoHits ` `  `  `# Driver code to test above function ` `solution ``=` `"GGRR"` `guess ``=` `"RGBY"` `calcResult(solution, guess) ` ` `  `solution ``=` `"YGRR"` `guess ``=` `"RGYB"` `calcResult(solution, guess) ` ` `  `#This code is contributed by Sachin Bisht `

## C#

 `// C# code to solve RGYB game ` `using` `System; ` ` `  `class` `GFG { ` `     `  `    ``static` `int` `hits = 0; ` `    ``static` `int` `pseudoHits = 0; ` `     `  `    ``// Function to assign code to a slot ` `    ``// based on the color they have ` `    ``static` `int` `codeOfColor(``char` `c) ` `    ``{ ` `        ``switch` `(c)  ` `        ``{ ` `            ``case` `'B'``: ``return` `0; ` `            ``case` `'G'``: ``return` `1; ` `            ``case` `'R'``: ``return` `2; ` `            ``case` `'Y'``: ``return` `3; ` `            ``default``: ``return` `-1; ` `        ``} ` `    ``} ` `     `  `    ``// maximum no of colors are 4 RGYB ` `    ``static` `int` `MAX_COLORS = 4; ` `     `  `    ``// Function to calculate number of hits ` `    ``// and pseudo hits ` `    ``static` `void` `calcResult(``string` `guess, ``string` `solution) ` `    ``{  ` `        ``hits = 0; ` `        ``pseudoHits = 0; ` `         `  `        ``if` `(guess.Length != solution.Length) ` `            ``Console.Write(``"Incorrect Input"``); ` `         `  `        ``// frequency array to store how many ` `        ``// times each character occurs in ` `        ``// solution string ` `        ``int` `[]frequencies = ``new` `int``[MAX_COLORS]; ` ` `  `        ``// Compute hits and build frequency table  ` `        ``for` `(``int` `i = 0; i < guess.Length; i++)  ` `        ``{ ` `            ``if` `(guess[i] == solution[i])  ` `            ``{ ` `                ``hits++; ` `            ``}  ` `            ``else` `            ``{ ` `                 `  `                ``/* Only increment the frequency table ` `                ``(which will be used for pseudo-hits) ` `                ``if it's not a hit. If it's a hit, the ` `                ``slot has already been "used." */` `                ``int` `codeofcolor = codeOfColor(solution[i]); ` `                ``frequencies[codeofcolor]++; ` `            ``} ` `        ``} ` ` `  `        ``// Compute pseudo-hits  ` `        ``for` `(``int` `i = 0; i < guess.Length; i++)  ` `        ``{ ` `            ``int` `codeofcolor = codeOfColor(guess[i]); ` `            ``if` `(codeofcolor >= 0 &&  ` `                        ``frequencies[codeofcolor] > 0 &&  ` `                                ``guess[i] != solution[i])  ` `            ``{ ` `                ``pseudoHits++; ` `                ``frequencies[codeofcolor]--; ` `            ``} ` `        ``} ` `         `  `        ``Console.WriteLine(``"hits -> "` `+ hits +  ` `                     ``" Psuedo hits -> "` `+ pseudoHits); ` `    ``} ` ` `  `    ``// Driver Code ` `    ``public` `static` `void` `Main() ` `    ``{  ` `        ``string` `solution = ``"GGRR"``; ` `        ``string` `guess = ``"RGBY"``; ` `         `  `        ``calcResult(solution, guess); ` `         `  `        ``solution = ``"YGRR"``; ` `        ``guess = ``"RGYB"``; ` `         `  `        ``calcResult(solution, guess); ` `    ``} ` `} ` ` `  `// This code is contributed by nitin mittal. `

Output:

```hits -> 1 Psuedo hits -> 1
hits -> 1 Psuedo hits -> 2
```

Time Complexity: O(N)
Auxiliary Space: O(N)

This article is contributed by Mr. Somesh Awasthi. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

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Improved By : nitin mittal, nidhi_biet

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