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>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using ll = long long;
const ll M = 100, A = 100;
ll m, l;
ll a[2*M+1];
bool dp_right_vis[M+1][M*M*A+1];
ll dp_right_res[M+1][M*M*A+1];
// i = [1;m]
ll dp_right(ll i, ll sum)
{
if(sum<0) return -1;
if(sum==0) return 0;
if(i==m+1) return -1;
if(dp_right_vis[i][sum])
return dp_right_res[i][sum];
ll res = -1;
for(ll j=min(sum/i,a[m+i]);j>=0;j--)
{
ll r = dp_right(i+1,sum-i*j);
if(r==-1) continue;
res = max(res,r+j);
break;
}
dp_right_vis[i][sum] = 1;
dp_right_res[i][sum] = res;
return res;
}
bool dp_left_vis[M+1][M*M*A+1];
ll dp_left_res[M+1][M*M*A+1];
// i = [1;m]
ll dp_left(ll i, ll sum)
{
if(sum<0) return -1;
if(sum==0) return 0;
if(i==m+1) return -1;
if(dp_left_vis[i][sum])
return dp_left_res[i][sum];
ll res = -1;
for(ll j=min(sum/i,a[m-i]);j>=0;j--)
{
ll r = dp_left(i+1,sum-i*j);
if(r==-1) continue;
res = max(res,r+j);
break;
}
dp_left_vis[i][sum] = 1;
dp_left_res[i][sum] = res;
return res;
}
int main()
{
ios_base::sync_with_stdio(false);
cout.tie(0);
cin.tie(0);
cin>>m>>l;
for(ll i=0;i<2*m+1;i++)
cin>>a[i];
ll res = a[0];
bool found = false;
ll mn=0,mx=0;
for(ll i=-m;i<0;i++)
mn+=a[i+m]*i;
for(ll i=1;i<=m;i++)
mx+=a[i+m]*i;
//cout<<mn<<" "<<mx<<"\n";
for(ll x=0;x<=-mn;x++)
{
ll y = l+x;
if(y>mx) break;
ll left_res = dp_left(1,x);
if(left_res==-1) continue;
ll right_res = dp_right(1,y);
if(right_res==-1) continue;
found = true;
//cout<<"x y: "<<x<<" "<<y<<endl;
//cout<<left_res<<" "<<right_res<<endl;
res = max(res,left_res+right_res+a[m]);
}
if(found)
cout<<res<<"\n";
else
cout<<"impossible\n";
}
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