Problem: Let's call some positive integer classy if its decimal representation contains no more than 3 non-zero digits. For example, numbers 4, 200000, 10203 are classy and numbers 4231, 102306, 7277420000 are not.

You are given a segment [L; R]. Count the number of classy integers x such that L ≤ x ≤ R.

Each testcase contains several segments, for each of them you are required to solve the problem separately.

Input

The first line contains a single integer T (1 ≤ T ≤ 10^4) — the number of segments in a testcase.

Each of the next T lines contains two integers L_i and R_i (1 ≤ L_i ≤ R_i ≤ 10^{18}).

Output

Print T lines — the i-th line should contain the number of classy integers on a segment [L_i; R_i].

Example

Input

4
1 1000
1024 1024
65536 65536
999999 1000001


Output

1000
1
0
2

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
vector<long long> ans;
void f(int p, int cnt, long long c) {
  if (p == 18) {
    ans.push_back(c);
    return;
  }
  f(p + 1, cnt, c * 10);
  if (cnt < 3)
    for (int i = 1; i <= 9; ++i) f(p + 1, cnt + 1, c * 10 + i);
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  int q;
  cin >> q;
  f(0, 0, 0);
  ans.push_back(1000000000000000000);
  while (q--) {
    unsigned long long int n, m;
    cin >> n >> m;
    cout << upper_bound(ans.begin(), ans.end(), m) -
                lower_bound(ans.begin(), ans.end(), n)
         << endl;
  }
  return 0;
}