# Count of triplets from the given string with non-equidistant characters

• Last Updated : 06 Aug, 2021

Given a string s containing letters ‘a’, ‘b’ and ‘c’, the task is to calculate all possible triplets made up of the three characters, and the distance between them should not be the same.

Distance between two letters is basically the difference between their indices.

Examples:

Input: s = “aabc”
Output:
Explanation:
Two possible triplets comprising of ‘a’, ‘b’ and ‘c’ are {1, 3, 4} and { 2, 3, 4}.
But the characters in the second triplet are equidistant. Hence, there is only one possible triplet satisfying the above condition.

Input: s = “abcbcabc”
Output: 13

Approach:
To solve the problem mentioned above, we need to follow the steps given below:

• Count all the occurrences of letters ‘a’, ‘b’, ‘c’ in the given string s.
• Find all triplets containing a, b, c by multiplying their respective counts.
• After this subtract all those triplets which has same distance between indices and print the resultant output.

Below is the implementation of the above approach:

## C++

 `// C++ Program to count of triplets``// from the given string with``// non-equidistant characters` `#include ``using` `namespace` `std;` `// Function to count valid triplets``void` `CountValidTriplet(string s, ``int` `n)``{``    ``// Store frequencies of a, b and c``    ``int` `count_a = 0,``        ``count_b = 0,``        ``count_c = 0;` `    ``for` `(``int` `i = 0; i < n; i++) {` `        ``// If the current letter is 'a'``        ``if` `(s[i] == ``'a'``)``            ``count_a++;` `        ``// If the current letter is 'b'``        ``if` `(s[i] == ``'b'``)``            ``count_b++;` `        ``// If the current letter is 'c'``        ``if` `(s[i] == ``'c'``)``            ``count_c++;``    ``}` `    ``// Calculate total no of triplets``    ``int` `Total_triplet = count_a``                        ``* count_b``                        ``* count_c;` `    ``// Subtract invalid triplets``    ``for` `(``int` `i = 0; i < n; i++) {``        ``for` `(``int` `j = i + 1; j < n; j++) {` `            ``if` `((2 * j - i) < n``                ``&& s[j] != s[i]``                ``&& s[j * 2 - i] != s[j]``                ``&& s[2 * j - i] != s[i])` `                ``Total_triplet--;``        ``}``    ``}``    ``cout << Total_triplet;``}` `// Driver Code``int` `main()``{``    ``string s = ``"abcbcabc"``;` `    ``int` `n = s.length();` `    ``CountValidTriplet(s, n);` `    ``return` `0;``}`

## Java

 `// Java program to count of triplets``// from the given string with``// non-equidistant characters``import` `java.util.*;` `class` `GFG{` `// Function to count valid triplets``static` `void` `CountValidTriplet(String s, ``int` `n)``{``    ` `    ``// Store frequencies of a, b and c``    ``int` `count_a = ``0``,``        ``count_b = ``0``,``        ``count_c = ``0``;` `    ``for``(``int` `i = ``0``; i < n; i++)``    ``{``       ` `       ``// If the current letter is 'a'``       ``if` `(s.charAt(i) == ``'a'``)``           ``count_a++;``       ` `       ``// If the current letter is 'b'``       ``if` `(s.charAt(i) == ``'b'``)``           ``count_b++;``       ` `       ``// If the current letter is 'c'``       ``if` `(s.charAt(i) == ``'c'``)``           ``count_c++;``    ``}``    ` `    ``// Calculate total no of triplets``    ``int` `Total_triplet = count_a * count_b * count_c;``    ` `    ``// Subtract invalid triplets``    ``for``(``int` `i = ``0``; i < n; i++)``    ``{``       ``for``(``int` `j = i + ``1``; j < n; j++)``       ``{``          ``if` `((``2` `* j - i) < n &&``              ``s.charAt(j) != s.charAt(i) &&``              ``s.charAt(j * ``2` `- i) != s.charAt(j) &&``              ``s.charAt(``2` `* j - i) != s.charAt(i))``              ``Total_triplet--;``       ``}``    ``}``    ``System.out.println(Total_triplet);``}` `// Driver code``public` `static` `void` `main(String[] args)``{``    ``String s = ``"abcbcabc"``;``    ``int` `n = s.length();``    ` `    ``CountValidTriplet(s, n);``}``}` `// This code is contributed by offbeat`

## Python3

 `# Python3 program to count of triplets``# from the given string with``# non-equidistant characters` `# Function to count valid triplets``def` `CountValidTriplet(s, n):``    ` `    ``# Store frequencies of a, b and c``    ``count_a ``=` `0``    ``count_b ``=` `0``    ``count_c ``=` `0``    ` `    ``for` `i ``in` `range``(n):``        ` `        ``# If the current letter is 'a'``        ``if` `(s[i] ``=``=` `'a'``):``            ``count_a ``+``=` `1` `        ``# If the current letter is 'b'``        ``if` `(s[i] ``=``=` `'b'``):``            ``count_b ``+``=` `1` `        ``# If the current letter is 'c'``        ``if` `(s[i] ``=``=` `'c'``):``            ``count_c ``+``=` `1` `    ``# Calculate total no of triplets``    ``Total_triplet ``=` `count_a ``*` `count_b ``*` `count_c` `    ``# Subtract invalid triplets``    ``for` `i ``in` `range``(n):``        ``for` `j ``in` `range``(i ``+` `1``, n):``            ` `            ``if` `((``2` `*` `j ``-` `i) < n ``and``                   ``s[j] !``=` `s[i] ``and``                   ``s[j ``*` `2` `-` `i] !``=` `s[j] ``and``                   ``s[``2` `*` `j ``-` `i] !``=` `s[i]):``                ` `                ``Total_triplet ``-``=` `1``                ` `    ``print``(Total_triplet)``    ` `# Driver Code``s ``=` `"abcbcabc"``n ``=` `len``(s)``CountValidTriplet(s, n)` `# This code is contributed by yatinagg`

## C#

 `// C# program to count of triplets``// from the given string with``// non-equidistant characters``using` `System;` `class` `GFG{` `// Function to count valid triplets``static` `void` `CountValidTriplet(``string` `s, ``int` `n)``{``    ` `    ``// Store frequencies of a, b and c``    ``int` `count_a = 0,``        ``count_b = 0,``        ``count_c = 0;` `    ``for``(``int` `i = 0; i < n; i++)``    ``{``       ``// If the current letter is 'a'``       ``if` `(s[i] == ``'a'``)``           ``count_a++;``            ` `       ``// If the current letter is 'b'``       ``if` `(s[i] == ``'b'``)``           ``count_b++;``            ` `       ``// If the current letter is 'c'``       ``if` `(s[i] == ``'c'``)``           ``count_c++;``    ``}``    ` `    ``// Calculate total no of triplets``    ``int` `Total_triplet = count_a * count_b * count_c;``    ` `    ``// Subtract invalid triplets``    ``for``(``int` `i = 0; i < n; i++)``    ``{``       ``for``(``int` `j = i + 1; j < n; j++)``       ``{``          ``if` `((2 * j - i) < n &&``              ``s[j] != s[i] &&``              ``s[j * 2 - i] != s[j] &&``              ``s[2 * j - i] != s[i])``              ``Total_triplet--;``       ``}``    ``}``    ``Console.Write(Total_triplet);``}` `// Driver code``public` `static` `void` `Main()``{``    ``string` `s = ``"abcbcabc"``;``    ``int` `n = s.Length;``    ` `    ``CountValidTriplet(s, n);``}``}` `// This code is contributed by Code_Mech`

## Javascript

 ``

Output:

`13`

Time complexity: O(N2). where N is the length of the given string.
Auxiliary Space: O(1).

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