Problem: Little X used to play a card game called "24 Game", but recently he has found it too easy. So he invented a new game.

Initially you have a sequence of n integers: 1, 2, ..., n. In a single step, you can pick two of them, let's denote them a and b, erase them from the sequence, and append to the sequence either a + b, or a - b, or a × b.

After n - 1 steps there is only one number left. Can you make this number equal to 24?

Input

The first line contains a single integer n (1 ≤ n ≤ 105).

Output

If it's possible, print "YES" in the first line. Otherwise, print "NO" (without the quotes).

If there is a way to obtain 24 as the result number, in the following n - 1 lines print the required operations an operation per line. Each operation should be in form: "a op b = c". Where a and b are the numbers you've picked at this operation; op is either "+", or "-", or "*"; c is the result of corresponding operation. Note, that the absolute value of c mustn't be greater than 1018. The result of the last operation must be equal to 24. Separate operator sign and equality sign from numbers with spaces.

If there are multiple valid answers, you may print any of them.

Examples

Input

1


Output

NO


Input

8


Output

YES
8 * 7 = 56
6 * 5 = 30
3 - 4 = -1
1 - 2 = -1
30 - -1 = 31
56 - 31 = 25
25 + -1 = 24

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
template <typename T>
T modpow(T base, T exp, T modulus) {
  base %= modulus;
  T result = 1;
  while (exp > 0) {
    if (exp & 1) result = (result * base) % modulus;
    base = (base * base) % modulus;
    exp >>= 1;
  }
  return result;
}
struct cmp {
  bool operator()(const pair<int, int> &a, const pair<int, int> &b) const {
    int lena = a.second - a.first + 1;
    int lenb = b.second - b.first + 1;
    if (lena == lenb) return a.first < b.first;
    return lena > lenb;
  }
};
struct c_h {
  size_t operator()(uint64_t x) const {
    static const uint64_t FIXED_RANDOM =
        chrono::steady_clock::now().time_since_epoch().count();
    x ^= FIXED_RANDOM;
    return x ^ (x >> 16);
  }
};
long long calcpow(long long x, long long y) {
  long long temp;
  if (y == 0) return 1;
  temp = calcpow(x, y / 2);
  if (y % 2 == 0)
    return temp * temp;
  else {
    if (y > 0)
      return x * temp * temp;
    else
      return (temp * temp) / x;
  }
}
long long gcd(long long a, long long b) {
  if (b == 0) return a;
  return gcd(b, a % b);
}
long long egcd(long long a, long long b, long long &x, long long &y) {
  if (b == 0) {
    x = 1;
    y = 0;
    return a;
  }
  long long x1;
  long long y1;
  long long g = egcd(b, a % b, x1, y1);
  x = y1;
  y = x1 - y1 * (a / b);
  return g;
}
bool isprime(long long a) {
  bool flag = 1;
  for (long long i = 2; i * i <= a; i++) {
    if (a % i == 0) {
      flag = 0;
      break;
    }
  }
  return flag;
}
bool sortbysec(const pair<long long, long long> &a,
               const pair<long long, long long> &b) {
  return a.first - a.second < b.first - b.second;
}
void four() {
  cout << "1 * 2 = 2 \n";
  cout << "2 * 3 = 6 \n";
  cout << "6 * 4 = 24 \n";
}
void five() {
  cout << "5 - 1 = 4 \n";
  cout << "4 - 2 = 2 \n";
  cout << "2 * 3 = 6 \n";
  cout << "6 * 4 = 24 \n";
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  long long n;
  cin >> n;
  if (n <= 3)
    cout << "NO \n";
  else {
    cout << "YES \n";
    long long c = 0;
    while (true) {
      if (n == 4) {
        four();
        break;
      } else if (n == 5) {
        five();
        break;
      } else {
        c++;
        cout << n << " - " << n - 1 << " = 1 \n";
        n -= 2;
      }
    }
    for (long long i = 0; i < c; i++) cout << "24 * 1 = 24 \n";
  }
  return 0;
}