#include <bits/stdc++.h>
using namespace std;
struct xxx {
int l, r, val, ap;
bool operator<( const xxx &x ) const {
if ( val == x.val )
return l < x.l;
return val < x.val;
}
};
const int MAX_N = 1e6;
bool del[MAX_N + 2], original[MAX_N + 1];
int v[MAX_N + 2], leftt[MAX_N + 2], rightt[MAX_N + 2], value[MAX_N + 2], apar[MAX_N + 2];
set <xxx> seg;
vector <int> adaugiri[MAX_N + 1], tba[MAX_N + 1];
int main() {
int n, k;
cin >> n >> k;
for ( int i = 1; i <= n; i++ )
cin >> v[i];
int l = 1, r = 1;
while ( l <= n ) {
r = l;
while ( r + 1 <= n && v[l] == v[r + 1] )
r++;
leftt[l] = leftt[r] = l;
rightt[l] = rightt[r] = r;
value[l] = value[r] = v[l];
apar[l] = apar[r] = r - l + 1;
seg.insert( { l, r, v[l], r - l + 1 } );
l = r + 1;
}
value[0] = value[n + 1] = -1;
while ( !(seg.size() == 1 && seg.begin()->ap == 1) ) {
int l = seg.begin()->l, r = seg.begin()->r, val = seg.begin()->val, ap = seg.begin()->ap;
seg.erase( { l, r, val, ap } );
if ( ap % 2 == 1 ) {
ap++;
k--;
adaugiri[r].push_back( val );
}
ap /= 2;
val++;
if ( val == value[l - 1] ) {
ap += apar[l - 1];
seg.erase( { leftt[l - 1], rightt[l - 1], value[l - 1], apar[l - 1] } );
l = leftt[l - 1];
}
if ( val == value[r + 1] ) {
ap += apar[r + 1];
seg.erase( { leftt[r + 1], rightt[r + 1], value[r + 1], apar[r + 1] } );
r = rightt[r + 1];
}
leftt[l] = leftt[r] = l;
rightt[l] = rightt[r] = r;
value[l] = value[r] = val;
apar[l] = apar[r] = ap;
seg.insert( { l, r, val, ap } );
}
int val = seg.begin()->val;
if ( !(val == 30 && k > 0) ) {
for ( int i = 1; i <= n; i++ ) {
cout << v[i] << " ";
for ( int x: adaugiri[i] )
cout << x << " ";
}
for ( ; val < 29; val++ ) {
cout << val << " ";
k--;
}
for ( int b = 19; b >= 0; b-- ) {
if ( k >= (1 << b) ) {
k -= (1 << b);
if ( k > 0 )
val--;
for ( int i = 0; i < (1 << b); i++ )
cout << val - b << " ";
}
}
return 0;
}
vector <int> aux;
for ( int i = 1; i <= n; i++ ) {
original[aux.size()] = true;
aux.push_back( v[i] );
for ( int x: adaugiri[i] )
aux.push_back( x );
}
n = aux.size();
for ( int i = 0; i < n; i++ ) {
v[i] = aux[i];
adaugiri[i].clear();
}
for ( int b = 0; b < 1; b++ ) {
for ( int i = 0; i < n; i++ ) {
if ( k == 0 || original[i] )
continue;
int x = v[i];
int c = log2( k + 1 );
c = min( c, x );
for ( int j = 0; j < (1 << c); j++ )
adaugiri[i].push_back( x - c );
del[i] = true;
k -= (1 << c) - 1;
}
aux.clear();
for ( int i = 0; i < n; i++ ) {
if ( del[i] ) {
del[i] = false;
for ( int x: adaugiri[i] )
aux.push_back( x );
}
else {
original[aux.size()] = original[i];
aux.push_back( v[i] );
}
}
n = aux.size();
for ( int i = 0; i < n; i++ ) {
v[i] = aux[i];
adaugiri[i].clear();
}
}
for ( int i = 0; i < n; i++ )
cout << v[i] << " ";
return 0;
}
