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HackerRank Square Subsequences problem solution

YASH PAL, 31 July 202425 January 2026

In this HackerRank Square Subsequences problem solution A string is called a square string if it can be obtained by concatenating two copies of the same string. For example, “abab”, “aa” are square strings, while “aaa”, “abba” are not.

Given a string, how many (non-empty) subsequences of the string are square strings? A subsequence of a string can be obtained by deleting zero or more characters from it and maintaining the relative order of the remaining characters.

HackerRank Square Subsequences problem solution

HackerRank Square Subsequences problem solution in Python.

#!/bin/python3

import os
import sys
from collections import Counter

def solveSub(s,size):
    s1 = s[:size]
    s1Len = len(s1)+1
    s2 = s[size:]
    s2Len = len(s2)+1
    sMatrix = [[0 for j in range(s2Len)] for i in range(s1Len)]
    for i in range(1,s1Len):
        for j in range(1,s2Len):
            if s1[i-1]==s2[j-1]:
                sMatrix[i][j]=sMatrix[i-1][j]+sMatrix[i][j-1]+1
            else:
                sMatrix[i][j]=sMatrix[i-1][j]+sMatrix[i][j-1]-sMatrix[i-1][j-1]
    return sMatrix[-1][-1]-sMatrix[-2][-1]


#
# Complete the squareSubsequences function below.
#
def squareSubsequences(s):
    #
    # Write your code here.
    #
    count = sum(solveSub(s,i) for i in range(1,len(s)))
    return count%1000000007
    


if __name__ == '__main__':
    fptr = open(os.environ['OUTPUT_PATH'], 'w')

    t = int(input())

    for t_itr in range(t):
        s = input()

        result = squareSubsequences(s)

        fptr.write(str(result) + 'n')

    fptr.close()

Square Subsequences problem solution in Java.

import java.io.*;
import java.util.*;

public class Solution implements Runnable {
    final static int MOD = 1000000007;

    int count(String a, String b) {
        int n = a.length();
        int m = b.length();
        int dp[][] = new int[n + 1][m + 1];
        int sum[][] = new int[n + 1][m + 1];
        for (int i = 0; i <= n; ++ i) {
            sum[i][m] = 1;
        }
        for (int j = 0; j <= m; ++ j) {
            sum[n][j] = 1;
        }
        for (int i = n - 1; i >= 0; -- i) {
            for (int j = m - 1; j >= 0; -- j) {
                if (a.charAt(i) == b.charAt(j)) {
                    dp[i][j] = sum[i + 1][j + 1];
                } 
                sum[i][j] = (sum[i + 1][j] + sum[i][j + 1]
                    - sum[i + 1][j + 1] + dp[i][j]) % MOD;
            }
        }
        int result = 0;
        for (int i = 0; i < n; ++ i) {
            result += dp[i][0];
            result %= MOD;
        }
        return result;
    }

    int count(String s) {
        int n = s.length();
        int result = 0;
        for (int i = 1; i < n; ++ i) {
            result += count(s.substring(0, i), s.substring(i, n));
            result %= MOD;
        }
        return (result + MOD) % MOD;
    }

    public void run() {
        try {
            BufferedReader reader = new BufferedReader(
                    new InputStreamReader(System.in));
            int testCount = Integer.parseInt(reader.readLine());
            while (testCount > 0) {
                testCount --;
                System.out.println(count(reader.readLine()));
            }
        } catch (Exception e) {
        }
    }

    public static void main(String args[]) {
        new Thread(new Solution()).run();
    }
}

Problem solution in C++.

/* Enter your code here. Read input from STDIN. Print output to STDOUT */
#include <cstdio>
#include <cstring>

static inline long long
getone(char *s, int ns, char *t, int nt, int last)
{
	if (ns <= 0 or nt <= 0)
		return 1; // empty string
	static long long count[204][204];
	for (int i = 0; i < ns; i++)
		for (int j = last; j < nt; j++) {
			long long &now = count[i][j];
			now = 0;
			long long a = 1;
			if (j >= 1)
				a = count[i][j-1];
			long long b = 1;
			if (i >= 1)
				b = count[i-1][j];
			long long c = 1;
			if (i >=1 and j >= 1)
				c = count[i-1][j-1];
			now += a + b - c;
			if (s[i] == t[j])
				now += c;
			now %= 1000000007;
		}
	return count[ns-1][nt-1];
}

static long long
get(char *s)
{
	int n = strlen(s);
	long long ret = 0;
	for (int i = 0; i < n; i++) {
		char c = s[i];
		int last = 0;
		for (int j = i + 1; j < n; j++)
			if (s[j] == c) {
				ret += getone(s, i, s+i+1, j-i-1, last);
				ret %= 1000000007;
				if (j-i-1 > 0)
					last = j-i-1;
			}
	}
	return (ret + 1000000007) % 1000000007;
}

int
main()
{
	int t;
	scanf("%d", &t);
	while (t--) {
		char s[204];
		scanf("%s", s);
		printf("%lldn", get(s));
	}
	return 0;
}

Problem solution in C.

#include <assert.h>
#include <limits.h>
#include <math.h>
#include <stdbool.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define MOD 1000000007

char* readline();

long commonSubsequences(char* a, char* b){
    int len1 = strlen(a);
    int len2 = strlen(b);
    long commonarray[len1 + 1][len2 + 1];
    for(int i = 0; i <= len1; i++){
        commonarray[i][len2] = 1;
    }
    for(int j = 0; j <= len2; j++){
        commonarray[len1][j] = 1;
    }
    for(int i = len1 - 1; i >= 0; i--){
        for(int j = len2 - 1; j >= 0; j--){
            commonarray[i][j] = (commonarray[i][j + 1] + commonarray[i + 1][j] + MOD - (a[i] == b[j]? 0 : commonarray[i + 1][j + 1]))%MOD;
        }
    }
    return commonarray[0][0] - 1;
}

int squareSubsequences(char* s) {
    long toreturn = 0;
    int len = strlen(s);
    for(int i = 0; i < len; i++){
        char* str1 = malloc(i + 1);
        strncpy(str1, s, i);
        str1[i] = '';
        char* str2 = malloc(len - i + 1);
        strncpy(str2, s + i, len - i);
        str2[len - i] = '';
        toreturn = (toreturn + commonSubsequences(str1, str2) + MOD - commonSubsequences(str1, str2 + 1))%MOD;
    }
    return toreturn;
}

int main()
{
    FILE* fptr = fopen(getenv("OUTPUT_PATH"), "w");

    char* t_endptr;
    char* t_str = readline();
    int t = strtol(t_str, &t_endptr, 10);

    if (t_endptr == t_str || *t_endptr != '') { exit(EXIT_FAILURE); }

    for (int t_itr = 0; t_itr < t; t_itr++) {
        char* s = readline();

        int result = squareSubsequences(s);

        fprintf(fptr, "%dn", result);
    }

    fclose(fptr);

    return 0;
}

char* readline() {
    size_t alloc_length = 1024;
    size_t data_length = 0;
    char* data = malloc(alloc_length);

    while (true) {
        char* cursor = data + data_length;
        char* line = fgets(cursor, alloc_length - data_length, stdin);

        if (!line) { break; }

        data_length += strlen(cursor);

        if (data_length < alloc_length - 1 || data[data_length - 1] == 'n') { break; }

        size_t new_length = alloc_length << 1;
        data = realloc(data, new_length);

        if (!data) { break; }

        alloc_length = new_length;
    }

    if (data[data_length - 1] == 'n') {
        data[data_length - 1] = '';
    }

    data = realloc(data, data_length);

    return data;
}

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