This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
using ll=long long;
// #define int long long
const int M=310;
const ll inf=3e18;
int m;
ll L, a[M*2];
void impossible(){
cout << "impossible\n";
exit(0);
}
ll tl, tr;
vector<ll> f;
void dp(ll power2, vector<pair<ll, ll>> v){
ll szl=max(0ll, min(m*m*2ll, (tl-(-inf))/power2));
ll szr=max(0ll, min(m*m*2ll, (inf-tr)/power2));
tl-=szl*power2, tr+=szr*power2;
reverse(f.begin(), f.end());
f.resize((int)f.size()+szl, -1);
reverse(f.begin(), f.end());
f.resize((int)f.size()+szr, -1);
for (auto &i:v){
ll val=i.first, cnt=i.second;
if (val>0){
for (int j=(int)f.size()-1; j>=val; --j){
if (f[j-val]!=-1) f[j]=max(f[j], f[j-val]+cnt);
}
}else{
for (int j=0; j-val<(int)f.size(); ++j){
if (f[j-val]!=-1) f[j]=max(f[j], f[j-val]+cnt);
}
}
}
reverse(f.begin(), f.end());
while (f.size() && f.back()==-1){
tl+=power2;
f.pop_back();
}
reverse(f.begin(), f.end());
while (f.size() && f.back()==-1){
tr-=power2;
f.pop_back();
}
if (f.empty()) impossible();
return;
}
vector<pair<ll, ll>> v[50];
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> m >> L;
for (int i=-m; i<=m; ++i) cin >> a[m+i];
for (int i=-m; i<=m; ++i) if (i){
ll val=i, cnt=0;
while (val%2==0) val/=2, ++cnt;
for (int j=0; j<50; ++j) if (a[m+i]>=(1ll<<j)) v[j+cnt].emplace_back(val, 1ll<<j), a[m+i]-=1ll<<j;
for (int j=0; j<50; ++j) if (a[m+i]>>j&1) v[j+cnt].emplace_back(val, 1ll<<j);
}
tl=0, tr=0, f={a[m]};
for (int i=0; i<50; ++i){
dp(1ll<<i, v[i]);
if (abs(tl-L)>>i&1){
tl+=1ll<<i;
if (f.empty()) impossible();
f.erase(f.begin());
}
if (abs(tr-L)>>i&1){
tr-=1ll<<i;
if (f.empty()) impossible();
f.pop_back();
}
vector<ll> tmp;
for (int j=0; j<(int)f.size(); j+=2) tmp.push_back(f[j]);
tmp.swap(f);
}
if (tl>L || tr<L) impossible();
cout << f[(L-tl)>>50] << '\n';
return 0;
}
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