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;
int MOD = 1000 * 1000 * 1000 + 7;
long long ans = 1;
void find_binary(int x) {
  int cnt = 0;
  while (x > 0) {
    ++cnt;
    if (x % 2 == 0) ans *= 3;
    ans += MOD;
    ans %= MOD;
    x /= 2;
  }
  while (cnt < 6) {
    ans *= 3;
    ans += MOD;
    ans %= MOD;
    ++cnt;
  }
}
void find_num(char c) {
  if (c >= '0' && c <= '9') {
    int x = c - '0';
    find_binary(x);
  } else if (c >= 'a' && c <= 'z') {
    int x = c - 'a' + 36;
    find_binary(x);
  } else if (c >= 'A' && c <= 'Z') {
    int x = c - 'A' + 10;
    find_binary(x);
  } else {
    if (c == '-')
      find_binary(62);
    else
      find_binary(63);
  }
}
int main() {
  string s;
  cin >> s;
  string build = "";
  for (int i = 0; i < s.size(); ++i) {
    find_num(s[i]);
  }
  ans += MOD;
  cout << ans % MOD << endl;
  return 0;
}