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;
char arr[100010];
long long i, res, val, l, zeros, MOD = 1000000007LL;
int main() {
  scanf(" %s", arr);
  l = strlen(arr);
  res = 1LL;
  for (i = 0LL; i < l; i++) {
    if (arr[i] >= '0' && arr[i] <= '9') {
      val = arr[i] - '0';
    } else if (arr[i] >= 'A' && arr[i] <= 'Z') {
      val = arr[i] - 'A' + 10LL;
    } else if (arr[i] >= 'a' && arr[i] <= 'z') {
      val = arr[i] - 'a' + 36LL;
    } else if (arr[i] == '-') {
      val = 62LL;
    } else if (arr[i] == '_') {
      val = 63LL;
    }
    zeros += (6LL - __builtin_popcount(val));
  }
  for (i = 0LL; i < zeros; i++) {
    res = (res * 3LL) % MOD;
  }
  printf("%I64d\n", res);
  return 0;
}