Little Petya loves looking for numbers' divisors. One day Petya came across the following problem:

You are given n queries in the form "xi yi". For each query Petya should count how many divisors of number xi divide none of the numbers xi - yi, xi - yi + 1, ..., xi - 1. Help him.

Input

The first line contains an integer n (1 ≤ n ≤ 105). Each of the following n lines contain two space-separated integers xi and yi (1 ≤ xi ≤ 105, 0 ≤ yi ≤ i - 1, where i is the query's ordinal number; the numeration starts with 1). 

If yi = 0 for the query, then the answer to the query will be the number of divisors of the number xi. In this case you do not need to take the previous numbers x into consideration.

Output

For each query print the answer on a single line: the number of positive integers k such that <image>

Examples

Input

6
4 0
3 1
5 2
6 2
18 4
10000 3


Output

3
1
1
2
2
22

Note

Let's write out the divisors that give answers for the first 5 queries:

1) 1, 2, 4 

2) 3

3) 5

4) 2, 6

5) 9, 18
#include <bits/stdc++.h>
using namespace std;
const double PI = acos(-1);
const double eps = 1e-9;
const int inf = 2000000000;
const long long infLL = 9000000000000000000;
inline bool checkBit(long long n, int i) { return n & (1LL << i); }
inline long long setBit(long long n, int i) { return n | (1LL << i); }
inline long long resetBit(long long n, int i) { return n & (~(1LL << i)); }
int dx4[] = {0, 0, +1, -1};
int dy4[] = {+1, -1, 0, 0};
int dx8[] = {+1, 0, -1, 0, +1, +1, -1, -1};
int dy8[] = {0, +1, 0, -1, +1, -1, +1, -1};
inline bool EQ(double a, double b) { return fabs(a - b) < 1e-9; }
inline bool isLeapYear(long long year) {
  return (year % 400 == 0) || (year % 4 == 0 && year % 100 != 0);
}
inline bool isIntege(double num) { return (num == (int)num); }
inline bool collinear(int x1, int y1, int x2, int y2, int x3, int y3) {
  return (y1 - y2) * (x1 - x3) == (y1 - y3) * (x1 - x2);
}
inline double coDist(double x1, double y1, double x2, double y2) {
  return sqrt(((x1 - x2) * (x1 - x2)) + ((y1 - y2) * (y1 - y2)));
}
inline double TriangleAreaWithSide(double a, double b, double c) {
  double s = (a + b + c) / 2;
  double area = sqrt(s * (s - a) * (s - b) * (s - c));
  return area;
}
inline double area3(double x1, double y1, double x2, double y2, double x3,
                    double y3) {
  double A = abs((x1 * y2 + x2 * y3 + x3 * y1) - (y1 * x2 + y2 * x3 + y3 * x1));
  A /= 2.0;
  return A;
}
inline long double degreetoradian(long double x) {
  long double val = PI * x;
  val /= (180.0);
  return val;
}
inline void normal(long long &a) {
  a %= 1000000007;
  (a < 0) && (a += 1000000007);
}
template <typename T>
inline T gcd(T a, T b) {
  T c;
  while (b) {
    c = b;
    b = a % b;
    a = c;
  }
  return a;
}
inline long long modMul(long long a, long long b) {
  a %= 1000000007, b %= 1000000007;
  normal(a), normal(b);
  return (a * b) % 1000000007;
}
inline long long modAdd(long long a, long long b) {
  a %= 1000000007, b %= 1000000007;
  normal(a), normal(b);
  return (a + b) % 1000000007;
}
inline long long modSub(long long a, long long b) {
  a %= 1000000007, b %= 1000000007;
  normal(a), normal(b);
  a -= b;
  normal(a);
  return a;
}
inline long long modPow(long long b, long long p) {
  long long r = 1;
  while (p) {
    if (p & 1) r = modMul(r, b);
    b = modMul(b, b);
    p >>= 1;
  }
  return r;
}
inline long long modInverse(long long a) { return modPow(a, 1000000007 - 2); }
inline long long modDiv(long long a, long long b) {
  return modMul(a, modInverse(b));
}
inline bool equalTo(double a, double b) {
  if (fabs(a - b) <= eps)
    return true;
  else
    return false;
}
inline bool notEqual(double a, double b) {
  if (fabs(a - b) > eps)
    return true;
  else
    return false;
}
inline bool lessThan(double a, double b) {
  if (a + eps < b)
    return true;
  else
    return false;
}
inline bool lessThanEqual(double a, double b) {
  if (a < b + eps)
    return true;
  else
    return false;
}
inline bool greaterThan(double a, double b) {
  if (a > b + eps)
    return true;
  else
    return false;
}
inline bool greaterThanEqual(double a, double b) {
  if (a + eps > b)
    return true;
  else
    return false;
}
inline string to_s(int t) {
  stringstream ss;
  ss << t;
  return ss.str();
}
struct edge {
  int p, q, w;
};
bool cmp(edge &a, edge &b) { return a.w < b.w; }
template <typename first, typename second>
ostream &operator<<(ostream &os, const pair<first, second> &p) {
  return os << "(" << p.first << ", " << p.second << ")";
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  os << "{";
  for (auto it = v.begin(); it != v.end(); ++it) {
    if (it != v.begin()) os << ", ";
    os << *it;
  }
  return os << "}";
}
template <typename T>
ostream &operator<<(ostream &os, const set<T> &v) {
  os << "[";
  for (auto it = v.begin(); it != v.end(); ++it) {
    if (it != v.begin()) os << ", ";
    os << *it;
  }
  return os << "]";
}
template <typename T>
ostream &operator<<(ostream &os, const multiset<T> &v) {
  os << "[";
  for (auto it = v.begin(); it != v.end(); ++it) {
    if (it != v.begin()) os << ", ";
    os << *it;
  }
  return os << "]";
}
template <typename first, typename second>
ostream &operator<<(ostream &os, const map<first, second> &v) {
  os << "[";
  for (auto it = v.begin(); it != v.end(); ++it) {
    if (it != v.begin()) os << ", ";
    os << it->first << " = " << it->second;
  }
  return os << "]";
}
clock_t tStart = clock();
void faltu() { cerr << '\n'; }
template <typename T>
void faltu(T a[], int n) {
  for (int i = 0; i < n; ++i) cerr << a[i] << ' ';
  cerr << '\n';
}
template <typename T, typename... hello>
void faltu(T arg, const hello &...rest) {
  cerr << arg << ' ';
  faltu(rest...);
}
const int mx = 1e5 + 5;
set<int> st[mx];
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  ;
  int n;
  cin >> n;
  for (int i = 1; i <= n; i++) {
    int x, y;
    cin >> x >> y;
    int p = i - y - 1;
    int cnt = 0;
    for (int j = 1; j * j <= x; j++) {
      if (x % j == 0) {
        if (st[j].upper_bound(p) == st[j].end()) cnt++;
        st[j].insert(i);
        int a = x / j;
        if (a != j) {
          if (st[a].upper_bound(p) == st[a].end()) cnt++;
          st[a].insert(i);
        }
      }
    }
    cout << cnt << '\n';
  }
}
