#include <bits/stdc++.h>
using namespace std;
const int mod = 1000000007;
long long f() {
  long long n, k;
  cin >> n >> k;
  long long ans = 0;
  long long base = 1;
  while (k > 0) {
    ans = (ans + (k & 1) * base) % mod;
    k = k / 2;
    base = (base * n) % mod;
  }
  return ans;
}
int main() {
  ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
  int t;
  cin >> t;
  while (t--) {
    cout << f() << '\n';
  }
  return 0;
}

### Prompt

In CPP, your task is to solve the following problem:

Theofanis really likes sequences of positive integers, thus his teacher (Yeltsa Kcir) gave him a problem about a sequence that consists of only special numbers.

Let's call a positive number special if it can be written as a sum of different non-negative powers of n. For example, for n = 4 number 17 is special, because it can be written as 4^0 + 4^2 = 1 + 16 = 17, but 9 is not.

Theofanis asks you to help him find the k-th special number if they are sorted in increasing order. Since this number may be too large, output it modulo 10^9+7.

Input

The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases.

The first and only line of each test case contains two integers n and k (2 ≤ n ≤ 10^9; 1 ≤ k ≤ 10^9).

Output

For each test case, print one integer — the k-th special number in increasing order modulo 10^9+7.

Example

Input


3
3 4
2 12
105 564


Output


9
12
3595374

Note

For n = 3 the sequence is [1,3,4,9...]

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
const int mod = 1000000007;
long long f() {
  long long n, k;
  cin >> n >> k;
  long long ans = 0;
  long long base = 1;
  while (k > 0) {
    ans = (ans + (k & 1) * base) % mod;
    k = k / 2;
    base = (base * n) % mod;
  }
  return ans;
}
int main() {
  ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
  int t;
  cin >> t;
  while (t--) {
    cout << f() << '\n';
  }
  return 0;
}

```