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Print Kth character in sorted concatenated substrings of a string

Last Updated : 13 Dec, 2023
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Given a string of lower alphabetic characters, find K-th character in a string formed by substrings (of given string) when concatenated in sorted form. 

Examples:  

Input : str = “banana”
K = 10
Output : n
All substring in sorted form are,
"a", "an", "ana", "anan", "anana",
"b", "ba", "ban", "bana", "banan",
"banana", "n", "na", "nan", "nana"
Concatenated string = “aananaanana
nanabbabanbanabananbananannanannana”
We can see a 10th character in the
above concatenated string is ‘n’
which is our final answer.

A simple solution is to generate all substrings of a given string and store them in an array. Once substrings are generated, sort them and concatenate after sorting. Finally print K-th character in the concatenated string.

An efficient solution is based on counting distinct substring of a string using suffix array. Same method is used in solving this problem also. After getting suffix array and lcp array, we loop over all lcp values and for each such value, we calculate characters to skip. We keep subtracting these many characters from our K, when character to skip becomes more than K, we stop and loop over substrings corresponding to current lcp[i], in which we loop from lcp[i] till the maximum length of string and then print the Kth character. 

Implementation:

C++




// C++ program to print Kth character
// in sorted concatenated substrings
#include <bits/stdc++.h>
using namespace std;
 
// Structure to store information of a suffix
struct suffix
{
    int index;  // To store original index
    int rank[2]; // To store ranks and next
                 // rank pair
};
 
// A comparison function used by sort() to compare
// two suffixes. Compares two pairs, returns 1 if
// first pair is smaller
int cmp(struct suffix a, struct suffix b)
{
    return (a.rank[0] == b.rank[0])?
           (a.rank[1] < b.rank[1] ?1: 0):
           (a.rank[0] < b.rank[0] ?1: 0);
}
 
// This is the main function that takes a string
// 'txt' of size n as an argument, builds and return
// the suffix array for the given string
vector<int> buildSuffixArray(string txt, int n)
{
    // A structure to store suffixes and their indexes
    struct suffix suffixes[n];
 
    // Store suffixes and their indexes in an array
    // of structures. The structure is needed to sort
    // the suffixes alphabetically and maintain their
    // old indexes while sorting
    for (int i = 0; i < n; i++)
    {
        suffixes[i].index = i;
        suffixes[i].rank[0] = txt[i] - 'a';
        suffixes[i].rank[1] = ((i+1) < n)?
                              (txt[i + 1] - 'a'): -1;
    }
 
    // Sort the suffixes using the comparison function
    // defined above.
    sort(suffixes, suffixes+n, cmp);
 
    // At his point, all suffixes are sorted according
    // to first 2 characters.  Let us sort suffixes
    // according to first 4 characters, then first
    // 8 and so on
    int ind[n];  // This array is needed to get the
                 // index in suffixes[] from original
                 // index. This mapping is needed to get
                 // next suffix.
 
    for (int k = 4; k < 2*n; k = k*2)
    {
        // Assigning rank and index values to first suffix
        int rank = 0;
        int prev_rank = suffixes[0].rank[0];
        suffixes[0].rank[0] = rank;
        ind[suffixes[0].index] = 0;
 
        // Assigning rank to suffixes
        for (int i = 1; i < n; i++)
        {
            // If first rank and next ranks are same as
            // that of previous suffix in array, assign
            // the same new rank to this suffix
            if (suffixes[i].rank[0] == prev_rank &&
               suffixes[i].rank[1] == suffixes[i-1].rank[1])
            {
                prev_rank = suffixes[i].rank[0];
                suffixes[i].rank[0] = rank;
            }
 
            else // Otherwise increment rank and assign
            {
                prev_rank = suffixes[i].rank[0];
                suffixes[i].rank[0] = ++rank;
            }
            ind[suffixes[i].index] = i;
        }
 
        // Assign next rank to every suffix
        for (int i = 0; i < n; i++)
        {
            int nextindex = suffixes[i].index + k/2;
            suffixes[i].rank[1] = (nextindex < n)?
                      suffixes[ind[nextindex]].rank[0]: -1;
        }
 
        // Sort the suffixes according to first k characters
        sort(suffixes, suffixes+n, cmp);
    }
 
    // Store indexes of all sorted suffixes in the suffix
    // array
    vector<int>suffixArr;
    for (int i = 0; i < n; i++)
        suffixArr.push_back(suffixes[i].index);
 
    // Return the suffix array
    return  suffixArr;
}
 
/* To construct and return LCP */
vector<int> kasai(string txt, vector<int> suffixArr)
{
    int n = suffixArr.size();
 
    // To store LCP array
    vector<int> lcp(n, 0);
 
    // An auxiliary array to store inverse of suffix array
    // elements. For example if suffixArr[0] is 5, the
    // invSuff[5] would store 0.  This is used to get next
    // suffix string from suffix array.
    vector<int> invSuff(n, 0);
 
    // Fill values in invSuff[]
    for (int i=0; i < n; i++)
        invSuff[suffixArr[i]] = i;
 
    // Initialize length of previous LCP
    int k = 0;
 
    // Process all suffixes one by one starting from
    // first suffix in txt[]
    for (int i=0; i<n; i++)
    {
        /* If the current suffix is at n-1, then we don’t
           have next substring to consider. So lcp is not
           defined for this substring, we put zero. */
        if (invSuff[i] == n-1)
        {
            k = 0;
            continue;
        }
 
        /* j contains index of the next substring to
           be considered  to compare with the present
           substring, i.e., next string in suffix array */
        int j = suffixArr[invSuff[i]+1];
 
        // Directly start matching from k'th index as
        // at-least k-1 characters will match
        while (i+k<n && j+k<n && txt[i+k]==txt[j+k])
            k++;
 
        lcp[invSuff[i]] = k; // lcp for the present suffix.
 
        // Deleting the starting character from the string.
        if (k>0)
            k--;
    }
 
    // return the constructed lcp array
    return lcp;
}
 
//    Utility method to get sum of first N numbers
int sumOfFirstN(int N)
{
    return (N * (N + 1)) / 2;
}
 
// Returns Kth character in sorted concatenated
// substrings of str
char printKthCharInConcatSubstring(string str, int K)
{
    int n = str.length();
    //  calculating suffix array and lcp array
    vector<int> suffixArr = buildSuffixArray(str, n);
    vector<int> lcp = kasai(str, suffixArr);
 
    for (int i = 0; i < lcp.size(); i++)
     {
         //    skipping characters common to substring
         //    (n - suffixArr[i]) is length of current
         //  maximum substring lcp[i] will length of
         // common substring
        int charToSkip = sumOfFirstN(n - suffixArr[i]) -
                         sumOfFirstN(lcp[i]);
 
        /*    if characters are more than K, that means
            Kth character belongs to substring
            corresponding to current lcp[i]*/
        if (K <= charToSkip)
        {
            // loop from current lcp value to current
            // string length
            for (int j = lcp[i] + 1; j <= (n-suffixArr[i]); j++)
            {
                int curSubstringLen = j;
 
                /* Again reduce K by current substring's
                   length one by one and when it becomes less,
                    print Kth character of current substring */
                if (K <= curSubstringLen)
                    return str[(suffixArr[i] + K - 1)];
                else
                    K -= curSubstringLen;
 
            }
            break;
        }
        else
            K -= charToSkip;
     }
}
 
//    Driver code to test above methods
int main()
{
    string str = "banana";
    int K = 10;
    cout << printKthCharInConcatSubstring(str, K);
    return 0;
}


Java




import java.util.Arrays;
 
class Suffix {
    int index;
    int[] rank = new int[2];
}
 
public class Main {
 
    // Function to build the suffix array
    static int[] buildSuffixArray(String txt, int n) {
        // Create an array of Suffix objects
        Suffix[] suffixes = new Suffix[n];
        for (int i = 0; i < n; i++) {
            suffixes[i] = new Suffix();
        }
 
        // Assign index and ranks to suffixes
        for (int i = 0; i < n; i++) {
            suffixes[i].index = i;
            suffixes[i].rank[0] = txt.charAt(i) - 'a';
            suffixes[i].rank[1] = ((i + 1) < n) ? txt.charAt(i + 1) - 'a' : -1;
        }
 
        // Sort the suffixes using custom comparison
        Arrays.sort(suffixes, (a, b) -> {
            if (a.rank[0] != b.rank[0]) {
                return a.rank[0] - b.rank[0];
            } else {
                return a.rank[1] - b.rank[1];
            }
        });
 
        int[] ind = new int[n];
        int k = 4;
        while (k < 2 * n) {
            k *= 2;
            int rank = 0;
            int prev_rank = suffixes[0].rank[0];
            suffixes[0].rank[0] = rank;
            ind[suffixes[0].index] = 0;
 
            for (int i = 1; i < n; i++) {
                if (suffixes[i].rank[0] == prev_rank && suffixes[i].rank[1] == suffixes[i - 1].rank[1]) {
                    prev_rank = suffixes[i].rank[0];
                    suffixes[i].rank[0] = rank;
                } else {
                    prev_rank = suffixes[i].rank[0];
                    rank++;
                    suffixes[i].rank[0] = rank;
                }
                ind[suffixes[i].index] = i;
            }
 
            for (int i = 0; i < n; i++) {
                int nextindex = suffixes[i].index + k / 2;
                suffixes[i].rank[1] = (nextindex < n) ? suffixes[ind[nextindex]].rank[0] : -1;
            }
 
            Arrays.sort(suffixes, (a, b) -> {
                if (a.rank[0] != b.rank[0]) {
                    return a.rank[0] - b.rank[0];
                } else {
                    return a.rank[1] - b.rank[1];
                }
            });
        }
 
        // Store the suffix array indexes
        int[] suffixArr = new int[n];
        for (int i = 0; i < n; i++) {
            suffixArr[i] = suffixes[i].index;
        }
        return suffixArr;
    }
 
    // Function to compute the Longest Common Prefix (LCP) array
    static int[] kasai(String txt, int[] suffixArr) {
        int n = suffixArr.length;
        int[] lcp = new int[n];
        int[] invSuff = new int[n];
 
        for (int i = 0; i < n; i++) {
            invSuff[suffixArr[i]] = i;
        }
 
        int k = 0;
        for (int i = 0; i < n; i++) {
            if (invSuff[i] == n - 1) {
                k = 0;
                continue;
            }
 
            int j = suffixArr[invSuff[i] + 1];
            while (i + k < n && j + k < n && txt.charAt(i + k) == txt.charAt(j + k)) {
                k++;
            }
            lcp[invSuff[i]] = k;
            if (k > 0) {
                k--;
            }
        }
        return lcp;
    }
 
    // Utility function to calculate sum of first N numbers
    static int sumOfFirstN(int N) {
        return (N * (N + 1)) / 2;
    }
 
    // Function to find Kth character in sorted concatenated substrings
    static char printKthCharInConcatSubstring(String string, int K) {
        int n = string.length();
        int[] suffixArr = buildSuffixArray(string, n);
        int[] lcp = kasai(string, suffixArr);
 
        for (int i = 0; i < lcp.length; i++) {
            int charToSkip = (sumOfFirstN(n - suffixArr[i]) - sumOfFirstN(lcp[i]));
 
            if (K <= charToSkip) {
                for (int j = lcp[i] + 1; j <= (n - suffixArr[i]); j++) {
                    int curSubstringLen = j;
                    if (K <= curSubstringLen) {
                        return string.charAt(suffixArr[i] + K - 1);
                    } else {
                        K -= curSubstringLen;
                    }
                }
                break;
            } else {
                K -= charToSkip;
            }
        }
        return ' ';
    }
 
    public static void main(String[] args) {
        String string = "banana";
        int K = 10;
 
        System.out.println(printKthCharInConcatSubstring(string, K));
    }
}


Python3




# Python3 program to print Kth character
# in sorted concatenated substrings
 
# Structure to store information of a suffix
class suffix:
     
    def __init__(self):
         
        self.index = 0
         
        # To store original index
        self.rank = [0] * 2
         
        # To store ranks and next
        # rank pair
 
# This is the main function that takes a string
# 'txt' of size n as an argument, builds and return
# the suffix array for the given string
def buildSuffixArray(txt: str, n: int) -> list:
 
    # A structure to store suffixes
    # and their indexes
    suffixes = [0] * n
    for i in range(n):
        suffixes[i] = suffix()
 
    # Store suffixes and their indexes in an array
    # of structures. The structure is needed to sort
    # the suffixes alphabetically and maintain their
    # old indexes while sorting
    for i in range(n):
        suffixes[i].index = i
        suffixes[i].rank[0] = ord(txt[i]) - ord('a')
        suffixes[i].rank[1] = (ord(txt[i + 1]) -
                        ord('a')) if ((i + 1) < n) else -1
 
    # Sort the suffixes using the comparison function
    # defined above.
    suffixes.sort(key = lambda a: a.rank)
 
    # At his point, all suffixes are sorted according
    # to first 2 characters.  Let us sort suffixes
    # according to first 4 characters, then first
    # 8 and so on
    ind = [0] * n
     
    # This array is needed to get the
    # index in suffixes[] from original
    # index. This mapping is needed to get
    # next suffix.
    k = 4
    while k < 2 * n:
        k *= 2
         
        # for k in range(4, 2 * n, k * 2):
 
        # Assigning rank and index values
        # to first suffix
        rank = 0
        prev_rank = suffixes[0].rank[0]
        suffixes[0].rank[0] = rank
        ind[suffixes[0].index] = 0
 
        # Assigning rank to suffixes
        for i in range(1, n):
 
            # If first rank and next ranks are same as
            # that of previous suffix in array, assign
            # the same new rank to this suffix
            if (suffixes[i].rank[0] == prev_rank and
                suffixes[i].rank[1] == suffixes[i - 1].rank[1]):
                prev_rank = suffixes[i].rank[0]
                suffixes[i].rank[0] = rank
                 
            # Otherwise increment rank and assign
            else
                prev_rank = suffixes[i].rank[0]
                rank += 1
                suffixes[i].rank[0] = rank
 
            ind[suffixes[i].index] = i
 
        # Assign next rank to every suffix
        for i in range(n):
            nextindex = suffixes[i].index + k // 2
            suffixes[i].rank[1] = suffixes[ind[nextindex]].rank[0] if (
                nextindex < n) else -1
 
        # Sort the suffixes according to first k characters
        suffixes.sort(key = lambda a : a.rank)
 
    # Store indexes of all sorted suffixes
    # in the suffix array
    suffixArr = []
    for i in range(n):
        suffixArr.append(suffixes[i].index)
 
    # Return the suffix array
    return suffixArr
 
# To construct and return LCP */
def kasai(txt: str, suffixArr: list) -> list:
 
    n = len(suffixArr)
 
    # To store LCP array
    lcp = [0] * n
 
    # An auxiliary array to store inverse of
    # suffix array elements. For example if
    # suffixArr[0] is 5, the invSuff[5] would
    # store 0.  This is used to get next
    # suffix string from suffix array.
    invSuff = [0] * n
 
    # Fill values in invSuff[]
    for i in range(n):
        invSuff[suffixArr[i]] = i
 
    # Initialize length of previous LCP
    k = 0
 
    # Process all suffixes one by one
    # starting from first suffix in txt[]
    for i in range(n):
 
        # If the current suffix is at n-1, then
        # we don’t have next substring to
        # consider. So lcp is not defined for
        # this substring, we put zero.
        if (invSuff[i] == n - 1):
            k = 0
            continue
 
        # j contains index of the next substring to
        # be considered  to compare with the present
        # substring, i.e., next string in suffix array
        j = suffixArr[invSuff[i] + 1]
 
        # Directly start matching from k'th index as
        # at-least k-1 characters will match
        while (i + k < n and j + k < n and
           txt[i + k] == txt[j + k]):
            k += 1
 
        lcp[invSuff[i]] = k
        # lcp for the present suffix.
 
        # Deleting the starting character
        # from the string.
        if (k > 0):
            k -= 1
 
    # Return the constructed lcp array
    return lcp
 
# Utility method to get sum of first N numbers
def sumOfFirstN(N: int) -> int:
 
    return (N * (N + 1)) // 2
 
# Returns Kth character in sorted concatenated
# substrings of str
def printKthCharInConcatSubstring(string: str,
                               K: int) -> str:
 
    n = len(string)
     
    # Calculating suffix array and lcp array
    suffixArr = buildSuffixArray(string, n)
    lcp = kasai(string, suffixArr)
 
    for i in range(len(lcp)):
 
        # Skipping characters common to substring
        # (n - suffixArr[i]) is length of current
        # maximum substring lcp[i] will length of
        # common substring
        charToSkip = (sumOfFirstN(n - suffixArr[i]) -
                                sumOfFirstN(lcp[i]))
 
        # If characters are more than K, that means
        # Kth character belongs to substring
        # corresponding to current lcp[i]
        if (K <= charToSkip):
 
            # Loop from current lcp value to current
            # string length
            for j in range(lcp[i] + 1,
               (n - suffixArr[i]) + 1):
                curSubstringLen = j
 
                # Again reduce K by current substring's
                # length one by one and when it becomes less,
                # print Kth character of current substring
                if (K <= curSubstringLen):
                    return string[(suffixArr[i] + K - 1)]
                else:
                    K -= curSubstringLen
                     
            break
 
        else:
            K -= charToSkip
 
# Driver code
if __name__ == "__main__":
 
    string = "banana"
    K = 10
     
    print(printKthCharInConcatSubstring(string, K))
 
# This code is contributed by sanjeev2552


C#




using System;
 
public class Suffix
{
    public int Index;
    public int[] Rank = new int[2];
}
 
public class MainClass
{
    // Function to build the suffix array
    static int[] BuildSuffixArray(string txt, int n)
    {
        Suffix[] suffixes = new Suffix[n];
        for (int i = 0; i < n; i++)
        {
            suffixes[i] = new Suffix();
        }
 
        for (int i = 0; i < n; i++)
        {
            suffixes[i].Index = i;
            suffixes[i].Rank[0] = txt[i] - 'a';
            suffixes[i].Rank[1] = (i + 1) < n ? txt[i + 1] - 'a' : -1;
        }
 
        Array.Sort(suffixes, (a, b) =>
        {
            if (a.Rank[0] != b.Rank[0])
            {
                return a.Rank[0] - b.Rank[0];
            }
            else
            {
                return a.Rank[1] - b.Rank[1];
            }
        });
 
        int[] ind = new int[n];
        int k = 4;
        while (k < 2 * n)
        {
            k *= 2;
            int rank = 0;
            int prevRank = suffixes[0].Rank[0];
            suffixes[0].Rank[0] = rank;
            ind[suffixes[0].Index] = 0;
 
            for (int i = 1; i < n; i++)
            {
                if (suffixes[i].Rank[0] == prevRank && suffixes[i].Rank[1] == suffixes[i - 1].Rank[1])
                {
                    prevRank = suffixes[i].Rank[0];
                    suffixes[i].Rank[0] = rank;
                }
                else
                {
                    prevRank = suffixes[i].Rank[0];
                    rank++;
                    suffixes[i].Rank[0] = rank;
                }
                ind[suffixes[i].Index] = i;
            }
 
            for (int i = 0; i < n; i++)
            {
                int nextindex = suffixes[i].Index + k / 2;
                suffixes[i].Rank[1] = (nextindex < n) ? suffixes[ind[nextindex]].Rank[0] : -1;
            }
 
            Array.Sort(suffixes, (a, b) =>
            {
                if (a.Rank[0] != b.Rank[0])
                {
                    return a.Rank[0] - b.Rank[0];
                }
                else
                {
                    return a.Rank[1] - b.Rank[1];
                }
            });
        }
 
        int[] suffixArr = new int[n];
        for (int i = 0; i < n; i++)
        {
            suffixArr[i] = suffixes[i].Index;
        }
        return suffixArr;
    }
 
    // Function to compute the Longest Common Prefix (LCP) array
    static int[] Kasai(string txt, int[] suffixArr)
    {
        int n = suffixArr.Length;
        int[] lcp = new int[n];
        int[] invSuff = new int[n];
 
        for (int i = 0; i < n; i++)
        {
            invSuff[suffixArr[i]] = i;
        }
 
        int k = 0;
        for (int i = 0; i < n; i++)
        {
            if (invSuff[i] == n - 1)
            {
                k = 0;
                continue;
            }
 
            int j = suffixArr[invSuff[i] + 1];
            while (i + k < n && j + k < n && txt[i + k] == txt[j + k])
            {
                k++;
            }
            lcp[invSuff[i]] = k;
            if (k > 0)
            {
                k--;
            }
        }
        return lcp;
    }
 
    // Utility function to calculate sum of first N numbers
    static int SumOfFirstN(int N)
    {
        return (N * (N + 1)) / 2;
    }
 
    // Function to find Kth character in sorted concatenated substrings
    static char PrintKthCharInConcatSubstring(string str, int K)
    {
        int n = str.Length;
        int[] suffixArr = BuildSuffixArray(str, n);
        int[] lcp = Kasai(str, suffixArr);
 
        for (int i = 0; i < lcp.Length; i++)
        {
            int charToSkip = (SumOfFirstN(n - suffixArr[i]) - SumOfFirstN(lcp[i]));
 
            if (K <= charToSkip)
            {
                for (int j = lcp[i] + 1; j <= (n - suffixArr[i]); j++)
                {
                    int curSubstringLen = j;
                    if (K <= curSubstringLen)
                    {
                        return str[suffixArr[i] + K - 1];
                    }
                    else
                    {
                        K -= curSubstringLen;
                    }
                }
                break;
            }
            else
            {
                K -= charToSkip;
            }
        }
        return ' ';
    }
 
    public static void Main(string[] args)
    {
        string str = "banana";
        int K = 10;
 
        Console.WriteLine(PrintKthCharInConcatSubstring(str, K));
    }
}


Javascript




// Structure to store information of a suffix
class Suffix {
    constructor() {
        this.index = 0;
        this.rank = [0, 0];
    }
}
 
// Function to build and return the suffix array for the given string
function buildSuffixArray(txt) {
    const n = txt.length;
    const suffixes = new Array(n);
    for (let i = 0; i < n; i++) {
        suffixes[i] = new Suffix();
    }
 
    // Store suffixes and their indexes in an array
    for (let i = 0; i < n; i++) {
        suffixes[i].index = i;
        suffixes[i].rank[0] = txt.charCodeAt(i) - 'a'.charCodeAt(0);
        suffixes[i].rank[1] = (i + 1) < n ? txt.charCodeAt(i + 1) - 'a'.charCodeAt(0) : -1;
    }
 
    // Sort the suffixes based on rank
    suffixes.sort((a, b) => a.rank[0] - b.rank[0] || a.rank[1] - b.rank[1]);
 
    // Loop for sorting the suffixes according to first k characters
    let ind = new Array(n).fill(0);
    let k = 4;
    while (k < 2 * n) {
        suffixes[0].rank[0] = 0;
        let prev_rank = suffixes[0].rank[0];
        ind[suffixes[0].index] = 0;
 
        // Assigning rank and index values to the first suffix
        // Assign ranks to other suffixes based on previous ranks
        // and increment ranks if they differ
        for (let i = 1; i < n; i++) {
            if (suffixes[i].rank[0] === prev_rank && suffixes[i].rank[1] ===
            suffixes[i - 1].rank[1]) {
                suffixes[i].rank[0] = prev_rank;
            } else {
                prev_rank = suffixes[i].rank[0];
                suffixes[i].rank[0] = ++prev_rank;
            }
            ind[suffixes[i].index] = i;
        }
 
        // Assign next rank to every suffix
        for (let i = 0; i < n; i++) {
            const nextindex = suffixes[i].index + k / 2;
            suffixes[i].rank[1] = (nextindex < n) ? suffixes[ind[nextindex]].rank[0] : -1;
        }
 
        // Sort the suffixes according to the updated ranks
        suffixes.sort((a, b) => a.rank[0] - b.rank[0] || a.rank[1] - b.rank[1]);
        k *= 2;
    }
 
    // Create the suffix array
    const suffixArr = suffixes.map(suffix => suffix.index);
    return suffixArr;
}
 
// Function to construct and return the Longest Common Prefix (LCP) array
function kasai(txt, suffixArr) {
    const n = suffixArr.length;
    const lcp = new Array(n).fill(0);
    const invSuff = new Array(n).fill(0);
 
    // Fill values in invSuff[] to get next suffix string from suffix array
    for (let i = 0; i < n; i++) {
        invSuff[suffixArr[i]] = i;
    }
 
    // Initialize the length of previous LCP
    let k = 0;
 
    // Process all suffixes starting from the first suffix in txt[]
    for (let i = 0; i < n; i++) {
        if (invSuff[i] === n - 1) {
            k = 0;
            continue;
        }
 
        let j = suffixArr[invSuff[i] + 1];
        while (i + k < n && j + k < n && txt[i + k] === txt[j + k]) {
            k++;
        }
        lcp[invSuff[i]] = k;
        if (k > 0) {
            k--;
        }
    }
 
    // Return the constructed LCP array
    return lcp;
}
 
// Utility method to get sum of first N numbers
function sumOfFirstN(N) {
    return (N * (N + 1)) / 2;
}
 
// Returns Kth character in sorted concatenated substrings of str
function printKthCharInConcatSubstring(string, K) {
    const n = string.length;
    const suffixArr = buildSuffixArray(string);
    const lcp = kasai(string, suffixArr);
 
    for (let i = 0; i < lcp.length; i++) {
        // Skipping characters common to substring
        const charToSkip = (sumOfFirstN(n - suffixArr[i]) - sumOfFirstN(lcp[i]));
 
        if (K <= charToSkip) {
            for (let j = lcp[i] + 1; j <= (n - suffixArr[i]) + 1; j++) {
                const curSubstringLen = j;
                if (K <= curSubstringLen) {
                    return string[suffixArr[i] + K - 1];
                } else {
                    K -= curSubstringLen;
                }
            }
            break;
        } else {
            K -= charToSkip;
        }
    }
}
 
// Driver code
const string = "banana";
const K = 10;
console.log(printKthCharInConcatSubstring(string, K));


Output

n








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