Problem: While walking down the street Vanya saw a label "Hide&Seek". Because he is a programmer, he used & as a bitwise AND for these two words represented as a integers in base 64 and got new word. Now Vanya thinks of some string s and wants to know the number of pairs of words of length |s| (length of s), such that their bitwise AND is equal to s. As this number can be large, output it modulo 109 + 7.

To represent the string as a number in numeral system with base 64 Vanya uses the following rules:

  * digits from '0' to '9' correspond to integers from 0 to 9; 
  * letters from 'A' to 'Z' correspond to integers from 10 to 35; 
  * letters from 'a' to 'z' correspond to integers from 36 to 61; 
  * letter '-' correspond to integer 62; 
  * letter '_' correspond to integer 63. 

Input

The only line of the input contains a single word s (1 ≤ |s| ≤ 100 000), consisting of digits, lowercase and uppercase English letters, characters '-' and '_'.

Output

Print a single integer — the number of possible pairs of words, such that their bitwise AND is equal to string s modulo 109 + 7.

Examples

Input

z


Output

3


Input

V_V


Output

9


Input

Codeforces


Output

130653412

Note

For a detailed definition of bitwise AND we recommend to take a look in the corresponding article in Wikipedia.

In the first sample, there are 3 possible solutions: 

  1. z&_ = 61&63 = 61 = z
  2. _&z = 63&61 = 61 = z
  3. z&z = 61&61 = 61 = z

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
using ui64 = unsigned long long;
using i65 = long long;
static const ui64 MOD = 1e9 + 7;
ui64 Convert(char ch) {
  if (ch >= '0' && ch <= '9') return ch - '0';
  if (ch >= 'A' && ch <= 'Z') return ch - 'A' + 10;
  if (ch >= 'a' && ch <= 'z') return ch - 'a' + 36;
  if (ch == '-') return 62;
  if (ch == '_') return 63;
  throw std::logic_error("Invalid input symbol in Convert!");
}
ui64 CalcZeroBitCount(ui64 ch) {
  ui64 res = 0;
  for (ui64 i = 0; i <= 5; ++i) {
    if ((ch & (1 << i)) == 0) {
      ++res;
    }
  }
  return res;
}
int main() {
  string s;
  cin >> s;
  ui64 res = 1;
  for (const auto ch : s) {
    const ui64 code = Convert(ch);
    const ui64 zeroCount = CalcZeroBitCount(code);
    res *= pow(3, zeroCount);
    res %= MOD;
  }
  cout << res << endl;
  return 0;
}