//set many funcs template
//Ver.20181228
#include<stdio.h>
#include<string.h>
#include<stdlib.h>
#include<stdbool.h>
#include<time.h>
#define inf 1072114514
#define llinf 4154118101919364364
#define mod 1000000007
#define pi 3.1415926535897932384

int max(int a,int b){if(a>b){return a;}return b;}
int min(int a,int b){if(a<b){return a;}return b;}
int zt(int a,int b){return max(a,b)-min(a,b);}
int round(int a,int b){if((a%b)*2 >= b){return (a/b)+1;}return a/b;}
int ceil(int a,int b){if(a%b==0){return a/b;}return (a/b)+1;}
int gcd(int a,int b){int c;while(b!=0){c=a%b;a=b;b=c;}return a;}
int lcm(int a,int b){int c=gcd(a,b);a/=c;return a*b;}
int nCr(int a,int b){int i,r=1;for(i=1;i<=b;i++){r*=(a+1-i);r/=i;}return r;}
int nHr(int a,int b){return nCr(a+b-1,b);}
int fact(int a){int i,r=1;for(i=1;i<=a;i++){r*=i;}return r;}
int pow(int a,int b){int i,r=1;for(i=1;i<=b;i++){r*=a;}return r;}
int dsum(int x){int r=0;while(x){r+=(x%10);x/=10;}return r;}
int dsumb(int x,int b){int r=0;while(x){r+=(x%b);x/=b;}return r;}
int sankaku(int x){return ((1+x)*x)/2;}
long long llmax(long long a,long long b){if(a>b){return a;}return b;}
long long llmin(long long a,long long b){if(a<b){return a;}return b;}
long long llzt(long long a,long long b){return llmax(a,b)-llmin(a,b);}
long long llround(long long a,long long b){if((a%b)*2 >= b){return (a/b)+1;}return a/b;}
long long llceil(long long a,long long b){if(a%b==0){return a/b;}return (a/b)+1;}
long long llgcd(long long a,long long b){long long c;while(b!=0){c=a%b;a=b;b=c;}return a;}
long long lllcm(long long a,long long b){long long c=llgcd(a,b);a/=c;return a*b;}
long long llnCr(long long a,long long b){long long i,r=1;for(i=1;i<=b;i++){r*=(a+1-i);r/=i;}return r;}
long long llnHr(long long a,long long b){return llnCr(a+b-1,b);}
long long llfact(long long a){long long i,r=1;for(i=1;i<=a;i++){r*=i;}return r;}
long long llpow(long long a,long long b){long long i,r=1;for(i=1;i<=b;i++){r*=a;}return r;}
long long lldsum(long long x){long long r=0;while(x){r+=(x%10);x/=10;}return r;}
long long lldsumb(long long x,long long b){long long r=0;while(x){r+=(x%b);x/=b;}return r;}
long long llsankaku(long long x){return ((1+x)*x)/2;}
double dbmax(double a,double b){if(a>b){return a;}return b;}
double dbmin(double a,double b){if(a<b){return a;}return b;}
double dbzt(double a,double b){return dbmax(a,b)-dbmin(a,b);}
int sortfncsj(const void *a,const void *b){if(*(int *)a>*(int *)b){return 1;}if(*(int *)a==*(int *)b){return 0;}return -1;}
int sortfnckj(const void *a,const void *b){if(*(int *)a<*(int *)b){return 1;}if(*(int *)a==*(int *)b){return 0;}return -1;}
int llsortfncsj(const void *a,const void *b){if(*(long long *)a>*(long long *)b){return 1;}if(*(long long *)a==*(long long *)b){return 0;}return -1;}
int llsortfnckj(const void *a,const void *b){if(*(long long *)a<*(long long *)b){return 1;}if(*(long long *)a==*(long long *)b){return 0;}return -1;}
int dbsortfncsj(const void *a,const void *b){if(*(double *)a>*(double *)b){return 1;}if(*(double *)a==*(double *)b){return 0;}return -1;}
int dbsortfnckj(const void *a,const void *b){if(*(double *)a<*(double *)b){return 1;}if(*(double *)a==*(double *)b){return 0;}return -1;}
int strsortfncsj(const void *a,const void *b){return strcmp((char *)a,(char *)b);}
int strsortfnckj(const void *a,const void *b){return strcmp((char *)b,(char *)a);}
int chsortfncsj(const void *a,const void *b){if(*(char *)a>*(char *)b){return 1;}if(*(char *)a==*(char *)b){return 0;}return -1;}
int chsortfnckj(const void *a,const void *b){if(*(char *)a<*(char *)b){return 1;}if(*(char *)a==*(char *)b){return 0;}return -1;}

void shuffledget(int x[],int n){
    srand(time(0));
    int i,b[524288],p,c;
    for(i=0;i<n;i++){
        b[i]=i;
    }
    for(i=n;i>=1;i--){
        p=rand()%i;
        c=b[i-1];b[i-1]=b[p];b[p]=c;
    }
    for(i=0;i<n;i++){
        scanf("%d",&x[b[i]]);
    }
}

int dx4[4]={1,-1,0,0};
int dy4[4]={0,0,1,-1};
int dx8[8]={-1,-1,-1,0,0,1,1,1};
int dy8[8]={-1,0,1,-1,1,-1,0,1};

int search(int x,int a[],int n){
    int st=0,fi=n-1,te;
    while(st<=fi){
        te=(st+fi)/2;
        if(a[te]<x){st=te+1;}else{fi=te-1;}
    }
    return st;
}

void prarr(int arr[],int n){
  int i;
  for(i=0;i<n;i++){
    if(i){printf(" ");}
    printf("%d",arr[i]);
  }
  printf("\n");
  return;
}

typedef struct{
int val;
int node;
}sd;

int sdsortfnc(const void *a,const void *b){
if(((sd*)a)->val < ((sd*)b)->val){return -1;}
if(((sd*)a)->val > ((sd*)b)->val){return 1;}
return 0;
}

int main(void){
    long long i,j,n,m,k,a[262144],b,c,h,w,r=0,l,t,v;
    long long fmap[262144][32],bmap[262144][32];
    long long varr[32],vs=0;
    long long fdp[1048576],bdp[1048576];
    long long fl[262144]={0};
    bool refl[262144]={0};
    scanf("%lld%lld",&n,&v);
    while(1){
        varr[vs]=v;
        vs++;
        if(v==0){break;}
        v/=2;
    }
    a[0]=-llinf;
    for(i=1;i<=n;i++){
        scanf("%lld",&a[i]);
        fl[i]=fl[i-1];
        if((a[i]-a[i-1])>varr[0]){
          fl[i]++;
        }
    }
    fl[n+1]=fl[n]+1;
    a[n+1]=llinf;
    for(i=0;i<32;i++){
        fmap[n][i]=n+1;
        fmap[n+1][i]=n+1;
        bmap[1][i]=0;
        bmap[0][i]=0;
    }
    for(i=n-1;i>=1;i--){
        for(j=0;j<vs;j++){
            fmap[i][j]=fmap[i+1][j];
            if((a[i+1]-a[i])>varr[j]){
                fmap[i][j]=i+1;
            }
        }
    }
    for(i=2;i<=n;i++){
        for(j=0;j<vs;j++){
            bmap[i][j]=bmap[i-1][j];
            if((a[i]-a[i-1])>varr[j]){
                bmap[i][j]=i-1;
            }
        }
    }
    for(i=0;i<1048576;i++){
        fdp[i]=1;
        bdp[i]=n;
    }
    for(i=0;i<(1ll<<vs);i++){
        for(j=0;j<vs;j++){
            if((i&(1ll<<j))!=0){continue;}
            fdp[i|(1ll<<j)]=llmax(fmap[fdp[i]][j],fdp[i|(1ll<<j)]);
            bdp[i|(1ll<<j)]=llmin(bmap[bdp[i]][j],bdp[i|(1ll<<j)]);
        }
    }
    for(i=0;i<(1ll<<vs);i+=2){
      h=i;
      w=(i^((1ll<<vs)-2ll));
      if(fdp[h]>bdp[w]){
        for(i=1;i<=n;i++){
          printf("Possible\n");
        }
        return 0;
      }
      if(fl[fdp[h]]==fl[bdp[w]]){
        refl[fl[fdp[h]]]=1;
      }
    }
    for(i=1;i<=n;i++){
      if(refl[fl[i]]){
        printf("Possible\n");
      }
      else{
        printf("Impossible\n");
      }
    }
    return 0;
}


Measured memory_bytes: 128256