Problem: Given a string s, find the number of ways to split s to substrings such that if there are k substrings (p1, p2, p3, ..., pk) in partition, then pi = pk - i + 1 for all i (1 ≤ i ≤ k) and k is even.

Since the number of ways can be large, print it modulo 109 + 7.

Input

The only line of input contains a string s (2 ≤ |s| ≤ 106) of even length consisting of lowercase Latin letters. 

Output

Print one integer, the number of ways of partitioning the string modulo 109 + 7.

Examples

Input

abcdcdab


Output

1

Input

abbababababbab


Output

3

Note

In the first case, the only way to partition the string is ab|cd|cd|ab.

In the second case, the string can be partitioned as ab|b|ab|ab|ab|ab|b|ab or ab|b|abab|abab|b|ab or abbab|ab|ab|abbab.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
const int maxn = (int)1e6 + 1, maxl = maxn, mod = (int)1e9 + 7;
int n, m, sta[maxl], dif[maxl], cnt[maxl], f[maxn], g[maxn];
char buf[maxn], str[maxn];
inline void mod_inc(int &x, int y) { (x += y) >= mod && (x -= mod); }
int main() {
  scanf("%s", buf + 1);
  n = strlen(buf + 1);
  if (n & 1) {
    puts("0");
    return 0;
  }
  for (int i = 1; i <= n >> 1; ++i) {
    str[(i << 1) - 1] = buf[i];
    str[i << 1] = buf[n - i + 1];
  }
  f[0] = 1;
  for (int i = 1; i <= n; ++i) {
    int tp = m, las = -maxn;
    static int tsta[maxl], tdif[maxl], tcnt[maxl];
    m = 0;
    memcpy(tsta + 1, sta + 1, tp * sizeof(int));
    memcpy(tdif + 1, dif + 1, tp * sizeof(int));
    memcpy(tcnt + 1, cnt + 1, tp * sizeof(int));
    for (int j = 1; j <= tp; ++j) {
      if (str[tsta[j]] == str[i]) {
        if (m && dif[m] == tsta[j] - 1 - las) {
          ++cnt[m];
        } else {
          sta[++m] = tsta[j] - 1;
          dif[m] = sta[m] - las;
          cnt[m] = 1;
        }
        las = tsta[j] - 1;
      }
      if (tcnt[j] > 1 && str[tsta[j] + tdif[j]] == str[i]) {
        if (m && dif[m] == tsta[j] + tdif[j] - 1 - las) {
          cnt[m] += tcnt[j] - 1;
        } else {
          sta[++m] = tsta[j] + tdif[j] - 1;
          dif[m] = sta[m] - las;
          cnt[m] = tcnt[j] - 1;
        }
        las = tsta[j] + tdif[j] * (tcnt[j] - 1) - 1;
      }
    }
    if (str[i - 1] == str[i]) {
      if (m && i - 2 - las == dif[m]) {
        ++cnt[m];
      } else {
        sta[++m] = i - 2;
        dif[m] = sta[m] - las;
        cnt[m] = 1;
      }
      las = i - 2;
    }
    if (m && i - 1 - las == dif[m]) {
      ++cnt[m];
    } else {
      sta[++m] = i - 1;
      dif[m] = sta[m] - las;
      cnt[m] = 1;
    }
    for (int j = 1; j <= m; ++j) {
      int tsta = sta[j], tdif = dif[j], tcnt = cnt[j],
          tend = tsta + (tcnt - 1) * tdif;
      g[tend] = f[tend];
      if (tcnt > 1) mod_inc(g[tend], g[tend - tdif]);
      mod_inc(f[i], g[tend]);
    }
    if (i & 1) f[i] = 0;
  }
  printf("%d\n", f[n]);
  return 0;
}