Problem: Koa the Koala has a binary string s of length n. Koa can perform no more than n-1 (possibly zero) operations of the following form:

In one operation Koa selects positions i and i+1 for some i with 1 ≤ i < |s| and sets s_i to max(s_i, s_{i+1}). Then Koa deletes position i+1 from s (after the removal, the remaining parts are concatenated).

Note that after every operation the length of s decreases by 1.

How many different binary strings can Koa obtain by doing no more than n-1 (possibly zero) operations modulo 10^9+7 (1000000007)?

Input

The only line of input contains binary string s (1 ≤ |s| ≤ 10^6). For all i (1 ≤ i ≤ |s|) s_i = 0 or s_i = 1.

Output

On a single line print the answer to the problem modulo 10^9+7 (1000000007).

Examples

Input


000


Output


3


Input


0101


Output


6


Input


0001111


Output


16


Input


00101100011100


Output


477

Note

In the first sample Koa can obtain binary strings: 0, 00 and 000.

In the second sample Koa can obtain binary strings: 1, 01, 11, 011, 101 and 0101. For example:

  * to obtain 01 from 0101 Koa can operate as follows: 0101 → 0(10)1 → 011 → 0(11) → 01. 
  * to obtain 11 from 0101 Koa can operate as follows: 0101 → (01)01 → 101 → 1(01) → 11. 



Parentheses denote the two positions Koa selected in each operation.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
const int maxn = 1e6 + 5, mod = 1e9 + 7;
char s[maxn];
int n, L, R, trans[maxn][2], len[maxn], fir[maxn], f[maxn], ans;
void plus(int &x, int v) { x += v, (x >= mod ? x -= mod : 0); }
int main() {
  scanf("%s", s + 1), n = strlen(s + 1);
  while (s[n] == '0') --n, ++R;
  if (n == 0) return printf("%d\n", R), 0;
  while (s[L + 1] == '0') ++L;
  for (int i = 1; i <= n - L; ++i) s[i] = s[i + L];
  n -= L;
  int lst = n + 1;
  for (int i = n; i; --i) trans[i][1] = lst, (s[i] == '1' ? lst = i : 0);
  for (int i = 1; i <= n; ++i) len[i] = s[i] == '1' ? 0 : len[i - 1] + 1;
  for (int i = 1; i <= n; ++i) fir[i] = n + 1;
  for (int i = n; i; --i) trans[i][0] = fir[len[i] + 1], fir[len[i]] = i;
  f[1] = 1;
  for (int i = 1; i <= n; ++i) {
    if (trans[i][0] <= n) plus(f[trans[i][0]], f[i]);
    if (trans[i][1] <= n) plus(f[trans[i][1]], f[i]);
  }
  for (int i = 1; i <= n; ++i)
    if (s[i] == '1') plus(ans, f[i]);
  printf("%d\n", 1ll * ans * (L + 1) % mod * (R + 1) % mod);
  return 0;
}