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Count all palindrome which is square of a palindrome in C++
In this tutorial, we will be discussing a program to find the number of palindromes which are squares of a palindrome.
For this we will be provided with two values L and R. Our task is to find the number of super palindromes in the given range. A super palindrome is the one in which the number and its square both are palindromes.
Example
#include <bits/stdc++.h>
using namespace std;
//checking if the number is a palindrome
bool if_palin(int x){
int ans = 0;
int temp = x;
while (temp > 0){
ans = 10 * ans + temp % 10;
temp = temp / 10;
}
return ans == x;
}
//returning the count of palindrome
int is_spalin(int L, int R){
// Upper limit
int LIMIT = 100000;
int ans = 0;
for (int i = 0 ;i < LIMIT; i++){
string s = to_string(i);
string rs = s.substr(0, s.size() - 1);
reverse(rs.begin(), rs.end());
string p = s + rs;
int p_sq = pow(stoi(p), 2);
if (p_sq > R)
break;
if (p_sq >= L and if_palin(p_sq))
ans = ans + 1;
}
//counting even length palindromes
for (int i = 0 ;i < LIMIT; i++){
string s = to_string(i);
string rs = s;
reverse(rs.begin(), rs.end());
string p = s + rs;
int p_sq = pow(stoi(p), 2);
if (p_sq > R)
break;
if (p_sq >= L and if_palin(p_sq))
ans = ans + 1;
}
return ans;
}
int main(){
string L = "4";
string R = "1000";
printf("%d\n", is_spalin(stoi(L), stoi(R)));
return 0;
}Output
4
Updated on: 10-Feb-2020
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