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#include<cstdio>
#include<cstring>
#include<algorithm>
#include<iostream>
#include<queue>
#include<map>
#include<stack>
#include<cmath>
#include<set>
#include<bitset>
#include<complex>
#include<cstdlib>
#include<assert.h>
#define inc(i,l,r) for(int i=l;i<=r;i++)
#define dec(i,l,r) for(int i=l;i>=r;i--)
#define link(x) for(edge *j=h[x];j;j=j->next)
#define mem(a) memset(a,0,sizeof(a))
#define mid ((x+y)/2)
#define ll long long
#define eps 1e-8
#define succ(x) (1<<x)
#define lowbit(x) (x&(-x))
#define sqr(x) ((x)*(x))
#define NM 1100005
#define nm 400005
using namespace std;
const double pi=acos(-1);
const ll inf=1e9+7;
ll read(){
ll x=0,f=1;char ch=getchar();
while(!isdigit(ch)){if(ch=='-')f=-1;ch=getchar();}
while(isdigit(ch))x=x*10+ch-'0',ch=getchar();
return f*x;
}
inline void write(int x){
if(x<0) { putchar('-');x=-x; }
if(x>9) write(x/10);
putchar(x%10+'0');
}
int n,m;
ll a[NM],b[NM];
void fwt(ll*a){
for(int k=1;k<n;k<<=1)
for(int i=0;i<n;i+=k<<1)
for(int j=0;j<k;j++){
ll x=a[i+j],y=a[i+j+k];
a[i+j]=(x+y)%inf;
a[i+j+k]=(x-y+inf)%inf;
}
}
ll div2(ll x){return x&1?x+inf>>1:x>>1;}
void ifwt(ll*a){
for(int k=1;k<n;k<<=1)
for(int i=0;i<n;i+=k<<1)
for(int j=0;j<k;j++){
ll x=a[i+j],y=a[i+j+k];
a[i+j]=div2((x+y)%inf);
a[i+j+k]=div2((x-y+inf)%inf);
}
}
int main(){
n=1<<read();m=read();
inc(i,0,n-1)a[i]=read();
b[0]=1;
for(int k=1;k<n;k<<=1)b[k]=1;
fwt(a);
for(fwt(b);m;m>>=1){
if(m&1){
inc(i,0,n-1)a[i]=a[i]*b[i]%inf;
}
inc(i,0,n-1)b[i]=b[i]*b[i]%inf;
}
ifwt(a);
inc(i,0,n-1)write(a[i]),putchar(' ');putchar('\n');
return 0;
}
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