#include <bits/stdc++.h>
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=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=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);
ll right_res = dp_right(1,y);
if(left_res==-1||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";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
87 ms |
15908 KB |
Output is correct |
6 |
Correct |
102 ms |
26500 KB |
Output is correct |
7 |
Correct |
15 ms |
6612 KB |
Output is correct |
8 |
Correct |
81 ms |
17276 KB |
Output is correct |
9 |
Correct |
227 ms |
29288 KB |
Output is correct |
10 |
Correct |
1 ms |
980 KB |
Output is correct |
11 |
Correct |
1 ms |
980 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
87 ms |
15908 KB |
Output is correct |
6 |
Correct |
102 ms |
26500 KB |
Output is correct |
7 |
Correct |
15 ms |
6612 KB |
Output is correct |
8 |
Correct |
81 ms |
17276 KB |
Output is correct |
9 |
Correct |
227 ms |
29288 KB |
Output is correct |
10 |
Correct |
1 ms |
980 KB |
Output is correct |
11 |
Correct |
1 ms |
980 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
328 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
86 ms |
15948 KB |
Output is correct |
17 |
Correct |
100 ms |
26464 KB |
Output is correct |
18 |
Correct |
15 ms |
6740 KB |
Output is correct |
19 |
Correct |
85 ms |
17260 KB |
Output is correct |
20 |
Correct |
227 ms |
29284 KB |
Output is correct |
21 |
Correct |
1 ms |
980 KB |
Output is correct |
22 |
Correct |
1 ms |
980 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
2492 ms |
382780 KB |
Output is correct |
25 |
Correct |
277 ms |
28080 KB |
Output is correct |
26 |
Execution timed out |
5099 ms |
485852 KB |
Time limit exceeded |
27 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Runtime error |
31 ms |
340 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Runtime error |
31 ms |
340 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Runtime error |
31 ms |
340 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
87 ms |
15908 KB |
Output is correct |
6 |
Correct |
102 ms |
26500 KB |
Output is correct |
7 |
Correct |
15 ms |
6612 KB |
Output is correct |
8 |
Correct |
81 ms |
17276 KB |
Output is correct |
9 |
Correct |
227 ms |
29288 KB |
Output is correct |
10 |
Correct |
1 ms |
980 KB |
Output is correct |
11 |
Correct |
1 ms |
980 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Runtime error |
31 ms |
340 KB |
Execution killed with signal 11 |
14 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Runtime error |
31 ms |
340 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
87 ms |
15908 KB |
Output is correct |
6 |
Correct |
102 ms |
26500 KB |
Output is correct |
7 |
Correct |
15 ms |
6612 KB |
Output is correct |
8 |
Correct |
81 ms |
17276 KB |
Output is correct |
9 |
Correct |
227 ms |
29288 KB |
Output is correct |
10 |
Correct |
1 ms |
980 KB |
Output is correct |
11 |
Correct |
1 ms |
980 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
328 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
86 ms |
15948 KB |
Output is correct |
17 |
Correct |
100 ms |
26464 KB |
Output is correct |
18 |
Correct |
15 ms |
6740 KB |
Output is correct |
19 |
Correct |
85 ms |
17260 KB |
Output is correct |
20 |
Correct |
227 ms |
29284 KB |
Output is correct |
21 |
Correct |
1 ms |
980 KB |
Output is correct |
22 |
Correct |
1 ms |
980 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
2492 ms |
382780 KB |
Output is correct |
25 |
Correct |
277 ms |
28080 KB |
Output is correct |
26 |
Execution timed out |
5099 ms |
485852 KB |
Time limit exceeded |
27 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Runtime error |
31 ms |
340 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
87 ms |
15908 KB |
Output is correct |
6 |
Correct |
102 ms |
26500 KB |
Output is correct |
7 |
Correct |
15 ms |
6612 KB |
Output is correct |
8 |
Correct |
81 ms |
17276 KB |
Output is correct |
9 |
Correct |
227 ms |
29288 KB |
Output is correct |
10 |
Correct |
1 ms |
980 KB |
Output is correct |
11 |
Correct |
1 ms |
980 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
328 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
86 ms |
15948 KB |
Output is correct |
17 |
Correct |
100 ms |
26464 KB |
Output is correct |
18 |
Correct |
15 ms |
6740 KB |
Output is correct |
19 |
Correct |
85 ms |
17260 KB |
Output is correct |
20 |
Correct |
227 ms |
29284 KB |
Output is correct |
21 |
Correct |
1 ms |
980 KB |
Output is correct |
22 |
Correct |
1 ms |
980 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
2492 ms |
382780 KB |
Output is correct |
25 |
Correct |
277 ms |
28080 KB |
Output is correct |
26 |
Execution timed out |
5099 ms |
485852 KB |
Time limit exceeded |
27 |
Halted |
0 ms |
0 KB |
- |