Problem: Nikolay got a string s of even length n, which consists only of lowercase Latin letters 'a' and 'b'. Its positions are numbered from 1 to n.

He wants to modify his string so that every its prefix of even length has an equal amount of letters 'a' and 'b'. To achieve that, Nikolay can perform the following operation arbitrary number of times (possibly, zero): choose some position in his string and replace the letter on this position with the other letter (i.e. replace 'a' with 'b' or replace 'b' with 'a'). Nikolay can use no letters except 'a' and 'b'.

The prefix of string s of length l (1 ≤ l ≤ n) is a string s[1..l].

For example, for the string s="abba" there are two prefixes of the even length. The first is s[1...2]="ab" and the second s[1...4]="abba". Both of them have the same number of 'a' and 'b'.

Your task is to calculate the minimum number of operations Nikolay has to perform with the string s to modify it so that every its prefix of even length has an equal amount of letters 'a' and 'b'.

Input

The first line of the input contains one even integer n (2 ≤ n ≤ 2⋅10^{5}) — the length of string s.

The second line of the input contains the string s of length n, which consists only of lowercase Latin letters 'a' and 'b'.

Output

In the first line print the minimum number of operations Nikolay has to perform with the string s to modify it so that every its prefix of even length has an equal amount of letters 'a' and 'b'.

In the second line print the string Nikolay obtains after applying all the operations. If there are multiple answers, you can print any of them.

Examples

Input


4
bbbb


Output


2
abba


Input


6
ababab


Output


0
ababab


Input


2
aa


Output


1
ba

Note

In the first example Nikolay has to perform two operations. For example, he can replace the first 'b' with 'a' and the last 'b' with 'a'. 

In the second example Nikolay doesn't need to do anything because each prefix of an even length of the initial string already contains an equal amount of letters 'a' and 'b'.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
const long long int alpha = 1e18;
using namespace std;
int gcd(long long int a, long long int begin) {
  if (a == 0) return begin;
  if (begin == 0) return a;
  if (a == begin) return a;
  if (a > begin) return gcd(a - begin, begin);
  return gcd(a, begin - a);
}
int largest(long long int arr[], long long int n) {
  return *max_element(arr, arr + n);
}
long long int lcm(long long int a, long long int begin) {
  return (a * begin) / gcd(a, begin);
}
long long int power(long long int x, unsigned long long int y,
                    long long int p) {
  long long int res = 1;
  x = x % p;
  while (y > 0) {
    if (y & 1) res = (res * x) % p;
    y = y >> 1;
    x = (x * x) % p;
  }
  return res;
}
bool comp(int a, int begin) { return (a < begin); }
void divisors(long long int n) {
  vector<long long int> v;
  for (int i = 1; i <= sqrt(n); i++) {
    if (n % i == 0) {
      if (n / i == i)
        v.emplace_back(i);
      else
        v.emplace_back(i);
      v.emplace_back(n / i);
    }
  }
}
bool isPrime(long long int n) {
  if (n == 1) {
    return false;
  }
  long long int i = 2;
  while (i * i <= n) {
    if (n % i == 0) {
      return false;
    }
    i += 1;
  }
  return true;
}
int gcdofarray(vector<long long int> v, long long int n) {
  long long int result = v[0];
  for (long long int i = 1; i < n; i++) result = gcd(v[i], result);
  return result;
}
void factors(long long int n) {
  vector<long long int> v;
  while (n % 2 == 0) {
    cout << 2 << " ";
    n = n / 2;
  }
  for (long long int i = 3; i <= sqrt(n); i = i + 2) {
    while (n % i == 0) {
      v.emplace_back(i);
      n = n / i;
    }
  }
  if (n > 2) v.emplace_back(n);
}
int sumofdigits(long long int n) {
  long long int sum = 0;
  while (n > 0) {
    sum += n % 10;
    n /= 10;
  }
  return sum;
}
bool powertwo(long long int x) { return x && (!(x & (x - 1))); }
void solve() {
  long long int T = 1;
  while (T--) {
    long long int n;
    cin >> n;
    string str;
    cin >> str;
    long long int i;
    long long int a = 0;
    for (i = 0; i < n - 1; i = i + 2) {
      if (str[i] == str[i + 1]) {
        if (str[i] == 'a') {
          str[i + 1] = 'b';
        } else {
          str[i + 1] = 'a';
        }
        a++;
      }
    }
    cout << a << "\n";
    cout << str << "\n";
  }
}
int main() { solve(); }