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#include <bits/stdc++.h>
#ifdef LOCAL
#include "algo/debug.h"
#else
#define debug(...) 42
#endif
using namespace std;
#define ll long long
#define pb push_back
#define pf push_front
#define endl '\n'
#define fi first
#define se second
#define ull unsigned ll
#define lld long double
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(),(v).end()
#define Fastio ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
const int Mod = 1000000007;
void solve() {
int n, m; cin >> n >> m;
vector<int> v(n);
for (int i = 0; i < n; i++) cin >> v[i];
vector<pair<ll, ll>> que;
int step = -1;
ll cost_ans = 0;
int pos = n - 2;
for (int i = n - 2; i >= 0; i--) {
if (v[n - 1] - v[i] <= m) {
que.pb({v[i], 1});
} else break;
if (i == 0) {
step = 1;
}
pos = i;
}
if (step != -1) {
cout << 0 << " " << 1 << endl;
return;
}
reverse(all(que));
for (int i = 1; i < sz(que); i++) {
que[i].se += que[i - 1].se;
que[i].se %= Mod;
}
vector<pair<ll, ll>> tmp_que;
step = 1;
for (int i = pos; i >= 0; i--) {
while (1) {
if (!sz(que)) {
que = tmp_que;
tmp_que.clear();
reverse(all(que));
for (int j = 1; j < sz(que); j++) {
que[j].se += que[j - 1].se;
que[j].se %= Mod;
}
step++;
}
int len = que.back().fi - v[i];
if (len > m) {
que.pop_back();
continue;
}
tmp_que.pb({v[i], que.back().se});
break;
}
}
cout << step << " " << tmp_que.back().se << endl;
}
int main()
{
Fastio;
int tt = 1;
// cin >> tt;
while (tt--) solve();
return 0;
}
#include <bits/stdc++.h>
#ifdef LOCAL
#include "algo/debug.h"
#else
#define debug(...) 42
#endif
using namespace std;
#define ll long long
#define pb push_back
#define pf push_front
#define endl '\n'
#define fi first
#define se second
#define ull unsigned ll
#define lld long double
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(),(v).end()
#define Fastio ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
const int Mod = 1000000007;
void solve() {
int n, m; cin >> n >> m;
vector<int> v(n);
for (int i = 0; i < n; i++) cin >> v[i];
vector<pair<ll, ll>> que;
int step = -1;
ll cost_ans = 0;
int pos = n - 2;
for (int i = n - 2; i >= 0; i--) {
if (v[n - 1] - v[i] <= m) {
que.pb({v[i], 1});
} else break;
if (i == 0) {
step = 1;
}
pos = i;
}
if (step != -1) {
cout << 0 << " " << 1 << endl;
return;
}
reverse(all(que));
for (int i = 1; i < sz(que); i++) {
que[i].se += que[i - 1].se;
que[i].se %= Mod;
}
vector<pair<ll, ll>> tmp_que;
step = 1;
for (int i = pos; i >= 0; i--) {
while (1) {
if (!sz(que)) {
que = tmp_que;
tmp_que.clear();
reverse(all(que));
for (int j = 1; j < sz(que); j++) {
que[j].se += que[j - 1].se;
que[j].se %= Mod;
}
step++;
}
int len = que.back().fi - v[i];
if (len > m) {
que.pop_back();
continue;
}
tmp_que.pb({v[i], que.back().se});
break;
}
}
cout << step << " " << tmp_que.back().se << endl;
}
int main()
{
Fastio;
int tt = 1;
// cin >> tt;
while (tt--) solve();
return 0;
}
# cook your dish here
from sys import stdin
def nbest(stops, rng):
MVAL = 1000000007
nst = len(stops)
# accumulate options through step patches along path
opt = [0]*nst
opt[0] = 1
inter = 0
lf = 0
lb = 0
brk = stops[0] + rng
for ix in range(1,nst):
if stops[ix] > brk:
inter += 1
f = ix - 1
b = lf + 1
s = f
p = lf
cml = opt[p]
while p > lb:
p -= 1
rch = stops[p] + rng
while rch < stops[s]:
opt[s] = cml
s -= 1
cml = (cml + opt[p])%MVAL
for p in range(b,s+1):
opt[p] = cml
lb = b
lf = f
brk = stops[f] + rng
rch = stops[nst-1] - rng
while stops[lb] < rch:
lb += 1
cml = sum(opt[lb:lf+1])%MVAL
return [ inter, cml ]
# main
n,m = map(int,input().split())
ays = list(int(stdin.readline()) for _ in range(n))
print( *nbest(ays,m) )
#include<stdio.h>
#include<stdlib.h>
#define MOD 1000000007
#define BUF 4096
int arr[1000000];
int temp1[1000000];
int temp2[1000000];
char ibuf[BUF];
int ipt = BUF;
int readInt()
{
while (ipt < BUF && ibuf[ipt] < '0') ipt++;
if (ipt == BUF)
{
fread(ibuf, 1, BUF, stdin);
ipt = 0;
while (ipt < BUF && ibuf[ipt] < '0') ipt++;
}
int n = 0;
while (ipt < BUF && ibuf[ipt] >= '0') n = (n*10)+(ibuf[ipt++]-'0');
if (ipt == BUF)
{
fread(ibuf, 1, BUF, stdin);
ipt = 0;
while (ipt < BUF && ibuf[ipt] >= '0') n = (n*10)+(ibuf[ipt++]-'0');
}
return n;
}
int main()
{
int m,n,i,j,min,k;
long long count=0;
n=readInt();
m=readInt();
for(i=0;i<n;i++)
arr[i]=readInt();
temp2[0]=1;
j=k=count=0;
for(i=1;i<n;i++)
{
while(arr[i]-arr[j] > m)
count-=temp2[j++];
temp1[i]=temp1[j]+1;
while(temp1[k]==temp1[j])
count+=temp2[k++];
temp2[i]=count%MOD;
}
printf("%d %d\n",temp1[n-1]-1,temp2[n-1]);
return 0;
}
/* package codechef; // don't place package name! */
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;
import java.lang.*;
import java.io.*;
import java.math.BigInteger;
import java.text.DecimalFormat;
class Main
{
static class Patient implements Comparable<Patient> {
int pos;
int illness;
Patient(int pos,int illness) {
this.pos=pos;
this.illness=illness;
}
@Override
public int compareTo(Patient p) {
return p.illness-this.illness;
}
}
/*
class Pair
{
int f,s;
Pair( int f, int s)
{
this.f=f;
this.s=s;
}
}*/
static class Dish{
int id;
int time;
Dish(int a, int b){
this.id = a;
this.time = b;
}
}
static class compare implements Comparator<Dish>{
public int compare(Dish a, Dish b){
if(a.time!=b.time)return a.time - b.time;
else return a.id - b.id;
}
}
static class Pair {
char prefix;
int suffixId;
Pair(char prefix, int suffixId) {
this.prefix = prefix;
this.suffixId = suffixId;
}
@Override
public int hashCode() {
final int prime = 199;
int hash = 0;
hash = prime * prefix + hash;
hash = prime * suffixId + hash;
return hash;
}
@Override
public boolean equals(Object obj) {
if(obj instanceof Pair) {
Pair p2 = (Pair) obj;
return this.prefix == p2.prefix && this.suffixId == p2.suffixId;
}
return false;
}
}
static class Circle{
long x;
long y;
long r;
public Circle(long x, long y, long r) {
this.x = x;
this.y = y;
this.r = r;
}
}
static class Distance{
long shortest;
long largest;
}
/*static class pair implements Comparable<pair>
{
long x;
int y;
pair(long x,int y)
{
this.x=x;
this.y=y;
}
public int compareTo(pair o)
{
return (int)(x-o.x);
}
}
static class Pair
{
long x,y;
Pair(long x, long y)
{
this.x = x;
this.y = y;
}
}
static class PairComparator implements Comparator<Pair>
{
public long compare(Pair a, Pair b)
{
//if(a.x==b.x)
return a.y-b.y;
// return a.x-b.x;
}
}
static class Point {
public double x, y;
private static final int MAX = (int) 1e6 + 1;
public Point(double x, double y) {
this.x = x;
this.y = y;
}
public int hashCode() {
return (int)x * MAX + (int)y;
}
public boolean equals(Object ob) {
if(ob instanceof Point) {
Point other = (Point) ob;
return other.x == x && other.y == y;
}
return false;
}
public String toString() {
return "(" + x + ", " + y + ")";
}
}*/
/* static int days4=0;
static int all;
static long phi[]=new long[1000001];
static long ans[]=new long[1000001];
//static int tree[],sum[];
//public static long mod = 1000000007; public static long [][] tempMatrix;
public static long max = (long) Math.pow(10, 9) + 7;
static StringBuilder res = new StringBuilder();
//static Node tree[];
//static int a[];
// static long mod = 998244353;
public static int rootColor=0;
static int MX = (1<<18);
// static boolean primes[]=new boolean[10000001];*/
static double pi = 3.1415926535;
private static final int MAXN = 5000;
/* private static final int MOD = 1000_000_007;
private static Modular modular_nCr = new Modular(MOD);
private static Modular modular = new Modular(MOD);
private static final long[][] nCr = new long[MAXN+5][MAXN+5];
static int[] maxval = new int[1000000];
static int[] minval = new int[1000000];
private static long bruteAns = 1;
static double eps = 1e-7;
static {
nCr[0][0]=1;
for(int i=0;i<=MAXN;i++)
nCr[i][0]=1;
for(int i=1;i<=MAXN;i++){
for(int j=1;j<=i;j++){
nCr[i][j]=(nCr[i-1][j-1]+nCr[i-1][j])%MOD;
}
}
}*/
/*
static { nCr[0][0] = 1;
for (int i = 1; i < MAXN; i++) {
nCr[i][0] = 1;
for (int j = 1; j <= i; j++) {
nCr[i][j] = modular_nCr.add(nCr[i - 1][j - 1], nCr[i - 1][j]);
} }
}
static int arr[] , dp[][][];
// static int n ;
static int final_sum=0;
static int mod=1000000007;
static ArrayList<Integer> graph[];
static boolean vis[];
static int seive[]=new int[1000001];
static int primes[] = {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97};
static int[] calcPower() {
int[] arr = new int[26];
for (int i = 0; i < 26; i++) {
arr[i] = (int) Math.pow(2, i);
}
return arr;
}
// static int p[] = new int[1000001], size[] = new int[1000001], n, m;
static int bits=32;
static class Trie
{
Trie tree[]=new Trie[2];
int val=0;
public Trie()
{
val=0;
tree[0]=null;tree[1]=null;
}
}
static Trie root;
static void insert(int xor)
{
Trie temp=root;
for(int i=bits-1;i>=0;i--)
{
int v = (xor & (1<<i)) >=1 ? 1 : 0;
if(temp.tree[v]==null)
temp.tree[v]=new Trie();
temp=temp.tree[v];
}
temp.val=xor;
}
static int query(int xor)
{
Trie temp=root;
for(int i=bits-1;i>=0;i--)
{
int v = (xor & (1<<i)) >=1 ? 1 : 0;
if(temp.tree[1-v]!=null)
temp=temp.tree[1-v];
else if(temp.tree[v]!=null)
temp=temp.tree[v];
}
return xor^temp.val;
}
public static int getBit(int n, int pos) {
return (n & (1 << pos)) == 0 ? 0 : 1;
}
private static int n, m, ci, cj;
private static char[][] g;
private static boolean[][] vs;
private static int[] v = new int[]{-1, 0, 1, 0};
private static int[] h = new int[]{0, 1, 0, -1};
private static char[] d = new char[]{'U', 'R', 'D', 'L'};
private static boolean v(int i, int j) {
return (i >= 0 && i < n && j >= 0 && j < m);
}
private static boolean pr(int i, int j) {
return g[i][j] == '*';
}
private static double dh, dl, dr, k;
static int zero = Integer.MAX_VALUE, one = Integer.MAX_VALUE;
static ArrayList<Long> leaf=new ArrayList<>();*/
static int mod=1000000007;
static int MX = 1000001;
static int pr[] = new int[MX];
static boolean cmp[] = new boolean[MX];
static int c = 0;
static void pre(){
for(int x = 2;x<MX;x++){
if(!cmp[x]){
pr[c++] = x;
for(int y = x+x; y<MX; y+=x){
cmp[y] = true;
}
}
}
}
// static final int MAXN = (int) 1e6;
static int spf[] = new int[MAXN];
static ArrayList<Integer> primes = new ArrayList<>();
static final int size = 1000001;
static final long MOD = 1000000007L;
static int n;
static int m;
static int a[] = new int[size];
static int dp[] = new int[size];
static int arr[] = new int[size];
static int stops;
public static void main (String[] args) throws java.lang.Exception
{
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
PrintWriter pw=new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
// FastReader in = new FastReader(System.in);
StringBuilder sb = new StringBuilder();
FastScanner in=new FastScanner();
// Scanner sc = new Scanner(System.in);
PrintWriter out=new PrintWriter(System.out);
HashMap<Character, Integer> h = new HashMap<Character, Integer>();
// TreeMap<Integer, Integer> h1 = new TreeMap<Integer, Integer>();
// HashMap<Integer, Integer> h2 = new HashMap<Integer, Integer>();
// HashSet<Point> s = new HashSet<Point>();
// HashSet<Double> s2 = new HashSet<Double>();
// HashSet<Double> s3 = new HashSet<Double>();
// HashSet<Character> h2 = new HashSet<Character>();
//long t= in.nextLong();
// long t = in.nextLong();
//DecimalFormat df = new DecimalFormat("#,###,##0.000000");
/* boolean prime[]=new boolean[10000000];
int p[]=new int[10000000];
int k=1;
Arrays.fill(prime, true);
prime[0]=false;
prime[1]=false;for(int i=2;i<10000000;i++)
{
if(!prime[i])
{
p[i]=p[i-1];
continue;
}
p[i]=k; k++;
for(long j=(long)i*i;j<10000000;j+=i)
prime[(int)j]=false;
}
// BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
/* int pri[]=new int[1000005];
int p=2;
List<Integer> list=new ArrayList<>();
while(p*p <=1000005)
{
if(pri[p]==0)
{
for(int i=p*2;i<=1000004;i=i+p)
{
pri[i]=1;
}
list.add(p);
}
p++;
}
//System.out.println(list);*/
// int t = in.nextInt();
// while(t-->0)
{
n = in.nextInt();
m = in.nextInt();
for(int i=0; i<n; i++) {
a[i] = in.nextInt();
}
long count=0;
dp[0]=1;
int j=0;
int k=0;
for(int i=1;i<n;i++) {
while(a[i]-a[j] > m)
count-= dp[j++];
arr[i]= arr[j]+1;
while(arr[k]==arr[j])
count += dp[k++];
dp[i]=(int) (count % MOD);
}
out.printf("%d %d\n",arr[n-1]-1, dp[n-1]);
}
out.close();
}
static void sieveOfEratosthenes(int n) {
boolean prime[] = new boolean[n+1];
for(int i=0;i<n;i++)
prime[i] = true;
for(int p = 2; p*p <= n; p++) {
if(prime[p]) {
for(int i = p*p; i <= n; i += p)
prime[i] = false;
}
}
for(int i = 2; i <= n; i++) {
if(prime[i])
primes.add(i);
}
}
private static long findGCD(long number1, long number2) {
long t;
while ( number2 != 0 ) {
t = number2;
number2 = number1 % number2;
number1 = t;
}
return number1;
}
static class dd
{
long left,right;
dd(long X, long Y)
{
this.left=X;
this.right=Y;
}
}
static Comparator<dd> isu = new Comparator<dd>(){
public int compare(dd X, dd Y)
{
if(X.left<Y.left)
return 1;
else if(X.left>Y.left)
return -1;
else
{
if(X.right<Y.right)
return 1;
else
return -1;
}
}
};
public static long gcd(long a,long b,long n){
if(a==b){
return (power(a,n,mod)+power(b,n,mod))%mod;
}
long res=1l;
long num=a-b;
for(long i=1;i*i<=num;i++){
if(num%i==0){
long temp= (power(a,n,i)+ power(b,n,i))%i;
if(temp==0){
res=Math.max(res,i);
}
temp= (power(a,n,num/i) + power(b,n,num/i))%(num/i);
if(temp==0){
res=Math.max(res,num/i);
}
}
}
return res%mod;
}
public static long power(long a,long n,long d){
long res=1l;
while(n>0){
if(n%2==1){
res =((res%d)*(a%d))%d;
n--;
}else{
a=((a%d)*(a%d))%d;
n=n/2;
}
}
return res%mod;
}
/* static long power(long x,long y) {
long res=1;
x%=m;
while(y>0) {
if(y%2!=0)
res=(res*x)%m;
y=y>>1;
x=(x*x)%m;
}
return res;
}
*/
static long gcd(long a, long b)
{
if(b==0)
return a;
else
return gcd(b, a%b);
}
static long nextPower_2 ( long x, long y )
{
long count = 0 ;
while ( y < x )
{count ++ ;
y = y << 1 ;
}
return count ;
}
/*
static long power(long a, long b, long p)
{ long x = 1, y = a;
while (b > 0) {
if (b % 2 == 1) {
x = (x * y);
if (x >= p) x %= p;
}
y = (y * y); if (y >= p) y %= p;
b /= 2;}
return x;
}*/
public static class Modular {
private int MOD;
Modular(int MOD) {
this.MOD = MOD;
}
public long add(long a, long b) {
return (a + b) % MOD;
}
public long sub(long a, long b) {
return (a - b + MOD) % MOD;
}
public long mul(long a, long b) {
return (a * b) % MOD;
}
public long div(long a, long b) {
return mul(a, inverseEuler(b));
} public long power(long a, long b) {
long x = 1, y = a;
while (b > 0) {
if (b % 2 == 1) {
x = (x * y);if (x >= MOD) x %= MOD;
}
y = (y * y);
if (y >= MOD) y %= MOD;
b /= 2;}
return x;
}
public long inverseEuler(long n) {
return power(n, MOD - 2);
}
}
static class FastReader {
byte[] buf = new byte[2048];
int index, total;
InputStream in;FastReader(InputStream is) {
in = is;
} int scan() throws IOException {
if (index >= total) {
index = 0;
total = in.read(buf);
if (total <= 0) { return -1;
}
}
return buf[index++];
}
String next() throws IOException {
int c;
for (c = scan(); c <= 32; c = scan()) ;
StringBuilder sb = new StringBuilder(); for (; c > 32; c = scan()) {
sb.append((char) c);}
return sb.toString();
}String nextLine() throws IOException {
int c;for (c = scan(); c <= 32; c = scan()) ;
StringBuilder sb = new StringBuilder();
for (; c != 10 && c != 13; c = scan()) {
sb.append((char) c);
} return sb.toString();
}char nextChar() throws IOException {
int c;
for (c = scan(); c <= 32; c = scan()) ;
return (char) c;
} int nextInt() throws IOException {
int c, val = 0;
for (c = scan(); c <= 32; c = scan()) ;
boolean neg = c == '-';
if (c == '-' || c == '+') {
c = scan(); }
for (; c >= '0' && c <= '9'; c = scan()) {
val = (val << 3) + (val << 1) + (c & 15);
}
return neg ? -val : val;
}long nextLong() throws IOException {
int c;long val = 0;
for (c = scan(); c <= 32; c = scan()) ;
boolean neg = c == '-';
if (c == '-' || c == '+') {
c = scan();
}
for (; c >= '0' && c <= '9'; c = scan()) {
val = (val << 3) + (val << 1) + (c & 15);
}
return neg ? -val : val;
}
}
static class FastScanner{
BufferedReader br;
StringTokenizer st;
public FastScanner(){br=new BufferedReader(new InputStreamReader(System.in));}
String nextToken(){
while(st==null||!st.hasMoreElements())
try{st=new StringTokenizer(br.readLine());}catch(Exception e){}
return st.nextToken();
}
int nextInt(){return Integer.parseInt(nextToken());}
long nextLong(){return Long.parseLong(nextToken());}
double nextDouble(){return Double.parseDouble(nextToken());}
}
}
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