#include <bits/stdc++.h>
using namespace std;
unsigned long long modExponentiate(unsigned long long a, unsigned long long b) {
  if (b == 0) return 1;
  unsigned long long ans = a;
  unsigned long long t = 1;
  while (b > 1) {
    if (b % 2 == 0) {
      ans = (ans * ans) % (1000000007);
      a = (a * a) % 1000000007;
      b = b / 2;
    } else {
      t = (t * a) % 1000000007;
      b = b - 1;
    }
  }
  return (t * ans) % 1000000007;
}
int noofz(int a) {
  int no = 0;
  while (a > 0) {
    if ((a % 2) == 1) no++;
    a = a / 2;
  }
  return (6 - no);
}
int main() {
  map<char, int> m;
  for (int i = 0; i < 10; i++) m[(char)('0' + i)] = noofz(i);
  for (int i = 10; i < 36; i++) m[(char)('A' + i - 10)] = noofz(i);
  for (int i = 36; i < 62; i++) m[(char)('a' + i - 36)] = noofz(i);
  m['-'] = noofz(62);
  m['_'] = noofz(63);
  char str[100001];
  cin >> str;
  long long ans = 1LL;
  long long anslog = 0LL;
  for (int i = 0; i < strlen(str); i++) {
    anslog = anslog + m[str[i]];
  }
  ans = modExponentiate(3, anslog);
  cout << ans << endl;
  return 0;
}

### Prompt

Generate a cpp solution to the following 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

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
unsigned long long modExponentiate(unsigned long long a, unsigned long long b) {
  if (b == 0) return 1;
  unsigned long long ans = a;
  unsigned long long t = 1;
  while (b > 1) {
    if (b % 2 == 0) {
      ans = (ans * ans) % (1000000007);
      a = (a * a) % 1000000007;
      b = b / 2;
    } else {
      t = (t * a) % 1000000007;
      b = b - 1;
    }
  }
  return (t * ans) % 1000000007;
}
int noofz(int a) {
  int no = 0;
  while (a > 0) {
    if ((a % 2) == 1) no++;
    a = a / 2;
  }
  return (6 - no);
}
int main() {
  map<char, int> m;
  for (int i = 0; i < 10; i++) m[(char)('0' + i)] = noofz(i);
  for (int i = 10; i < 36; i++) m[(char)('A' + i - 10)] = noofz(i);
  for (int i = 36; i < 62; i++) m[(char)('a' + i - 36)] = noofz(i);
  m['-'] = noofz(62);
  m['_'] = noofz(63);
  char str[100001];
  cin >> str;
  long long ans = 1LL;
  long long anslog = 0LL;
  for (int i = 0; i < strlen(str); i++) {
    anslog = anslog + m[str[i]];
  }
  ans = modExponentiate(3, anslog);
  cout << ans << endl;
  return 0;
}

```