#include "elephants.h"
//#include "grader.h"
#include <bits/stdc++.h>
using namespace std;
#define m_p make_pair
#define fi first
#define se second
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(),(x).end()
typedef long long ll;
const int N = 300005, L = 33, M = 1000000000;
const int S = 400;
int n, d;
int x[N];
vector<int> v[S];
vector<int> q[S];
vector<int> u[S];
void clc(int i)
{
q[i].resize(sz(v[i]));
u[i].resize(sz(v[i]));
for (int j = sz(v[i]) - 1; j >= 0; --j)
{
int x = v[i][j];
auto it = upper_bound(all(v[i]), x + d);
if (it == v[i].end())
{
q[i][j] = 1;
u[i][j] = x + d;
}
else
{
q[i][j] = 1 + q[i][it - v[i].begin()];
u[i][j] = u[i][it - v[i].begin()];
}
}
}
int ans()
{
int qq = 0;
int uu = -1;
for (int i = 0; i < S; ++i)
{
auto it = upper_bound(all(v[i]), uu);
if (it == v[i].end())
continue;
qq += q[i][it - v[i].begin()];
uu = u[i][it - v[i].begin()];
}
return qq;
}
void init(int N, int L, int X[])
{
n = N;
d = L;
for (int i = 0; i < n; ++i)
x[i] = X[i];
for (int i = 0; i < n; ++i)
{
v[(i / S)].push_back(x[i]);
}
for (int i = 0; i < S; ++i)
{
clc(i);
}
}
int sx[N];
int update(int i, int y)
{
int xx = x[i];
for (int i = 0; i < S; ++i)
{
if (binary_search(all(v[i]), xx))
{
vector<int> vv;
for (int j = 0; j < sz(v[i]); ++j)
{
if (v[i][j] == xx)
{
for (int k = 0; k < j; ++k)
vv.push_back(v[i][k]);
for (int k = j + 1; k < sz(v[i]); ++k)
vv.push_back(v[i][k]);
break;
}
}
v[i] = vv;
clc(i);
break;
}
}
x[i] = y;
bool z = false;
for (int i = 0; i < S; ++i)
{
if (v[i].empty())
continue;
if (y < v[i][0])
{
reverse(all(v[i]));
v[i].push_back(y);
reverse(all(v[i]));
clc(i);
z = true;
break;
}
if (y <= v[i].back())
{
vector<int> vv;
for (int j = 0; j < sz(v[i]); ++j)
{
if (y <= v[i][j])
{
for (int k = 0; k < j; ++k)
vv.push_back(v[i][k]);
vv.push_back(y);
for (int k = j; k < sz(v[i]); ++k)
vv.push_back(v[i][k]);
break;
}
}
v[i] = vv;
clc(i);
z = true;
break;
}
}
if (!z)
{
v[S - 1].push_back(y);
clc(S - 1);
}
if (i % S == 0)
{
for (int i = 0; i < n; ++i)
sx[i] = x[i];
sort(sx, sx + n);
for (int i = 0; i < S; ++i)
v[i].clear();
for (int i = 0; i < n; ++i)
v[(i / S)].push_back(sx[i]);
for (int i = 0; i < S; ++i)
clc(i);
}
return ans();
}
