# Queries to find total number of duplicate character in range L to R in the string S

Given a **string S** of **size N** consisting of lower case alphabets and **an integer Q which represents the number of queries for S**. Our task is to print the number of duplicate characters in the substring L to R for all the queries Q.

**Note:** *1 ≤N ≤ 10 ^{6} and 1 ≤ Q≤ 10^{6}*

**Examples:**

Input :

S = “geeksforgeeks”, Q = 2

L = 1 R = 5

L = 4 R = 8

Output :

1

0

Explanation:

For the first query ‘e’ is the only duplicate character in S from range 1 to 5.

For the second query theres is no duplicate character in S.

Input :

S = “Geekyy”, Q = 1

L = 1 R = 6

Output :

2

Explanation:

For the first query ‘e’ and ‘y’ are duplicate characters in S from range 1 to 6.

**Naive Approach: **

The naive approach would be to maintain a **frequency array** of size 26, to store the count of each character. For each query, given a range [L, R] we will traverse substring S[L] to S[R] and keep counting the occurrence of each character. Now, if the frequency of any character is greater than 1 then we would add 1 to answer.

**Efficient Approach:**

To solve the above problem in an efficient way we will **store the position of each character** as it appears in the string in a dynamic array. For each given query we will iterate over all the 26 lower case alphabets. If the current letter is in the substring S[L: R] then the next element of the first element which is **greater than or equal L** to in the corresponding vector should exist and be **less than or equal to R**.

Diagram below shows how we store characters in the dynamic array:

Below is the implementation of the above approach:

`// CPP implementation to Find the total ` `// number of duplicate character in a ` `// range L to R for Q number of queries in a string S ` ` ` `#include <bits/stdc++.h> ` `using` `namespace` `std; ` ` ` `// Vector of vector to store ` `// position of all characters ` `// as they appear in string ` `vector<vector<` `int` `> > v(26); ` ` ` `// Function to store position of each character ` `void` `calculate(string s) ` `{ ` ` ` `for` `(` `int` `i = 0; i < s.size(); i++) { ` ` ` `// Inserting position of each ` ` ` `// character as they appear ` ` ` `v[s[i] - ` `'a'` `].push_back(i); ` ` ` `} ` `} ` ` ` `// Function to calculate duplicate ` `// characters for Q queries ` `void` `query(` `int` `L, ` `int` `R) ` `{ ` ` ` `// Variable to count duplicates ` ` ` `int` `duplicates = 0; ` ` ` ` ` `// Iterate over all 26 characters ` ` ` `for` `(` `int` `i = 0; i < 26; i++) { ` ` ` ` ` `// Finding the first element which ` ` ` `// is less than or equal to L ` ` ` `auto` `first = lower_bound(v[i].begin(), ` ` ` `v[i].end(), L - 1); ` ` ` ` ` `// Check if first pointer exists ` ` ` `// and is less than R ` ` ` `if` `(first != v[i].end() && *first < R) { ` ` ` `// Incrementing first pointer to check ` ` ` `// if the next duplicate element exists ` ` ` `first++; ` ` ` ` ` `// Check if the next element exists ` ` ` `// and is less than R ` ` ` `if` `(first != v[i].end() && *first < R) ` ` ` `duplicates++; ` ` ` `} ` ` ` `} ` ` ` ` ` `cout << duplicates << endl; ` `} ` ` ` `// Driver Code ` `int` `main() ` `{ ` ` ` `string s = ` `"geeksforgeeks"` `; ` ` ` ` ` `int` `Q = 2; ` ` ` ` ` `int` `l1 = 1, r1 = 5; ` ` ` `int` `l2 = 4, r2 = 8; ` ` ` ` ` `calculate(s); ` ` ` ` ` `query(l1, r1); ` ` ` `query(l2, r2); ` ` ` ` ` `return` `0; ` `} ` |

*chevron_right*

*filter_none*

**Output:**

1 0

`

**Time complexity:** O( Q * 26 * log N)

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