#include <bits/stdc++.h>
#define gibon ios::sync_with_stdio(false); cin.tie(0);
#define fir first
#define sec second
#define pdd pair<long double, long double>
#define pii pair<int, int>
#define pll pair<ll, ll>
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
typedef long long ll;
using namespace std;
const int mxN=303;
const int MOD=1e9+7;
ll M, L;
ll A[2*mxN];
ll nval, ncnt;
vector <pll> minu, plu;
int dp[mxN*mxN];
int sps[mxN*mxN][12];
void make_sps(int jump, int buho)
{
for(int i=L-nval;i<=M*M;i++) sps[i+mxN][0]=dp[i+mxN]-((i+mxN)/jump)*buho;
for(int i=1;i<12;i++)
{
for(int j=L-nval;j<=M*M;j++)
{
if(j-(1<<i)*jump>=L-nval) sps[j+mxN][i]=max(sps[j+mxN][i-1], sps[j-(1<<i-1)*jump+mxN][i-1]);
else sps[j+mxN][i]=sps[j+mxN][i-1];
}
}
}
int solv(int st, int wid, int jump)
{
int ret=-MOD;
for(int i=11;i>=0;i--)
{
if(wid>=(1<<i))
{
wid-=(1<<i);
ret=max(ret, sps[st][i]);
st-=jump*(1<<i);
}
}
return ret;
}
int main()
{
gibon
cin >> M >> L;
for(int i=-M;i<=M;i++) cin >> A[i+mxN];
ll psum=0, msum=0;
for(int i=-M;i<0;i++) msum+=i*A[i+mxN];
for(int i=1;i<=M;i++) psum+=i*A[i+mxN];
if(L>psum || L<msum) {cout << "impossible"; return 0;}
if(L==msum+psum)
{
ll tmp=0;
for(int i=-M;i<=M;i++) tmp+=A[i+mxN];
cout << tmp; return 0;
}
if(L>msum+psum)
{
L*=-1;
for(int i=1;i<=M;i++) swap(A[i+mxN], A[-i+mxN]);
}
for(int i=-M;i<0;i++) minu.emplace_back(i, A[i+mxN]);
for(ll i=-M;i<0;i++) nval+=A[i+mxN]*i, ncnt+=A[i+mxN];
for(int i=1;i<=M;i++)
{
if(nval>L)
{
plu.emplace_back(i, A[i+mxN]);
continue;
}
if(L-nval>i*A[i+mxN]) nval+=i*A[i+mxN], ncnt+=A[i+mxN], minu.emplace_back(i, A[i+mxN]);
else if((L-nval)%i==0)
{
ncnt+=(L-nval)/i;
cout << ncnt+A[mxN];
return 0;
}
else
{
minu.emplace_back(i, (L-nval)/i+1);
plu.emplace_back(i, A[i+mxN]-(L-nval)/i-1);
ncnt+=(L-nval)/i+1;
nval+=i*((L-nval)/i+1);
}
}
for(int i=L-nval;i<=M*M;i++) dp[i+mxN]=-MOD;
dp[mxN]=0;
for(pll ele : plu)
{
make_sps(ele.fir, 1);
for(int i=M*M;i>=L-nval;i--)
{
int wid=min(ele.sec, (i-(L-nval))/ele.fir);
if(wid==0) continue;
dp[i+mxN]=max((ll)dp[i+mxN], solv(i+mxN-ele.fir, wid, ele.fir)+(i+mxN)/ele.fir);
//for(int j=1;j<=min(ele.sec, (i-(L-nval))/ele.fir);j++) dp[i+mxN]=max(dp[i+mxN], dp[i+mxN-j*ele.fir]+j);
}
}
for(pll ele : minu)
{
if(ele.fir<0)
{
make_sps(-ele.fir, -1);
for(int i=M*M;i>=L-nval;i--)
{
int wid=min(ele.sec, (i-(L-nval))/(-ele.fir));
if(wid==0) continue;
dp[i+mxN]=max((ll)dp[i+mxN], solv(i+mxN+ele.fir, wid, ele.fir)-(i+mxN)/(-ele.fir));
//for(int j=1;j<=min(ele.sec, (i-(L-nval))/(-ele.fir));j++) dp[i+mxN]=max(dp[i+mxN], dp[i+mxN+j*ele.fir]-j);
}
}
if(ele.fir>0)
{
make_sps(ele.fir, 1);
for(int i=L-nval;i<=M*M;i++)
{
int wid=min(ele.sec, (M*M-i)/ele.fir);
if(wid==0) continue;
dp[i+mxN]=max((ll)dp[i+mxN], solv(i+mxN+ele.fir*wid, wid, ele.fir)+(i+mxN)/ele.fir);
//for(int j=1;j<=min(ele.sec, (M*M-i)/ele.fir);j++) dp[i+mxN]=max(dp[i+mxN], dp[i+mxN+j*ele.fir]-j);
}
}
}
if(dp[L-nval+mxN]<-MOD/10) cout << "impossible";
else cout << ncnt+dp[L-nval+mxN]+A[mxN];
}
/*
2 2
0 0 0 0 1
*/
Compilation message
vault.cpp: In function 'void make_sps(int, int)':
vault.cpp:28:87: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
28 | if(j-(1<<i)*jump>=L-nval) sps[j+mxN][i]=max(sps[j+mxN][i-1], sps[j-(1<<i-1)*jump+mxN][i-1]);
| ~^~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Incorrect |
9 ms |
456 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Incorrect |
9 ms |
456 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
336 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
6 |
Correct |
3 ms |
328 KB |
Output is correct |
7 |
Correct |
2 ms |
328 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
2 ms |
384 KB |
Output is correct |
10 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
336 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
6 |
Correct |
3 ms |
328 KB |
Output is correct |
7 |
Correct |
2 ms |
328 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
2 ms |
384 KB |
Output is correct |
10 |
Correct |
2 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
2 ms |
332 KB |
Output is correct |
16 |
Correct |
2 ms |
340 KB |
Output is correct |
17 |
Correct |
2 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
21 |
Correct |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
2 ms |
468 KB |
Output is correct |
23 |
Correct |
2 ms |
328 KB |
Output is correct |
24 |
Incorrect |
3 ms |
340 KB |
Output isn't correct |
25 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
336 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
6 |
Correct |
3 ms |
328 KB |
Output is correct |
7 |
Correct |
2 ms |
328 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
2 ms |
384 KB |
Output is correct |
10 |
Correct |
2 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
2 ms |
340 KB |
Output is correct |
13 |
Correct |
3 ms |
340 KB |
Output is correct |
14 |
Correct |
3 ms |
340 KB |
Output is correct |
15 |
Correct |
2 ms |
340 KB |
Output is correct |
16 |
Correct |
2 ms |
340 KB |
Output is correct |
17 |
Correct |
2 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
21 |
Correct |
7 ms |
468 KB |
Output is correct |
22 |
Correct |
7 ms |
468 KB |
Output is correct |
23 |
Correct |
8 ms |
468 KB |
Output is correct |
24 |
Correct |
9 ms |
468 KB |
Output is correct |
25 |
Correct |
8 ms |
468 KB |
Output is correct |
26 |
Correct |
7 ms |
468 KB |
Output is correct |
27 |
Correct |
8 ms |
472 KB |
Output is correct |
28 |
Correct |
7 ms |
476 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Incorrect |
9 ms |
456 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
336 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
6 |
Correct |
3 ms |
328 KB |
Output is correct |
7 |
Correct |
2 ms |
328 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
2 ms |
384 KB |
Output is correct |
10 |
Correct |
2 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
2 ms |
340 KB |
Output is correct |
13 |
Correct |
3 ms |
340 KB |
Output is correct |
14 |
Correct |
3 ms |
340 KB |
Output is correct |
15 |
Correct |
2 ms |
340 KB |
Output is correct |
16 |
Correct |
2 ms |
340 KB |
Output is correct |
17 |
Correct |
2 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
21 |
Correct |
7 ms |
468 KB |
Output is correct |
22 |
Correct |
7 ms |
468 KB |
Output is correct |
23 |
Correct |
8 ms |
468 KB |
Output is correct |
24 |
Correct |
9 ms |
468 KB |
Output is correct |
25 |
Correct |
8 ms |
468 KB |
Output is correct |
26 |
Correct |
7 ms |
468 KB |
Output is correct |
27 |
Correct |
8 ms |
472 KB |
Output is correct |
28 |
Correct |
7 ms |
476 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
2 ms |
340 KB |
Output is correct |
31 |
Correct |
2 ms |
340 KB |
Output is correct |
32 |
Correct |
2 ms |
340 KB |
Output is correct |
33 |
Correct |
2 ms |
340 KB |
Output is correct |
34 |
Correct |
3 ms |
340 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
2 ms |
340 KB |
Output is correct |
37 |
Correct |
2 ms |
340 KB |
Output is correct |
38 |
Correct |
2 ms |
340 KB |
Output is correct |
39 |
Correct |
7 ms |
468 KB |
Output is correct |
40 |
Correct |
7 ms |
472 KB |
Output is correct |
41 |
Correct |
8 ms |
460 KB |
Output is correct |
42 |
Correct |
6 ms |
468 KB |
Output is correct |
43 |
Correct |
9 ms |
480 KB |
Output is correct |
44 |
Correct |
8 ms |
468 KB |
Output is correct |
45 |
Correct |
8 ms |
340 KB |
Output is correct |
46 |
Correct |
7 ms |
468 KB |
Output is correct |
47 |
Correct |
58 ms |
852 KB |
Output is correct |
48 |
Correct |
51 ms |
860 KB |
Output is correct |
49 |
Correct |
54 ms |
852 KB |
Output is correct |
50 |
Correct |
52 ms |
852 KB |
Output is correct |
51 |
Correct |
65 ms |
852 KB |
Output is correct |
52 |
Correct |
66 ms |
852 KB |
Output is correct |
53 |
Correct |
54 ms |
852 KB |
Output is correct |
54 |
Correct |
55 ms |
852 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Incorrect |
9 ms |
456 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
336 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
6 |
Correct |
3 ms |
328 KB |
Output is correct |
7 |
Correct |
2 ms |
328 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
2 ms |
384 KB |
Output is correct |
10 |
Correct |
2 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
2 ms |
340 KB |
Output is correct |
13 |
Correct |
3 ms |
340 KB |
Output is correct |
14 |
Correct |
3 ms |
340 KB |
Output is correct |
15 |
Correct |
2 ms |
340 KB |
Output is correct |
16 |
Correct |
2 ms |
340 KB |
Output is correct |
17 |
Correct |
2 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
21 |
Correct |
7 ms |
468 KB |
Output is correct |
22 |
Correct |
7 ms |
468 KB |
Output is correct |
23 |
Correct |
8 ms |
468 KB |
Output is correct |
24 |
Correct |
9 ms |
468 KB |
Output is correct |
25 |
Correct |
8 ms |
468 KB |
Output is correct |
26 |
Correct |
7 ms |
468 KB |
Output is correct |
27 |
Correct |
8 ms |
472 KB |
Output is correct |
28 |
Correct |
7 ms |
476 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
2 ms |
340 KB |
Output is correct |
31 |
Correct |
2 ms |
340 KB |
Output is correct |
32 |
Correct |
2 ms |
340 KB |
Output is correct |
33 |
Correct |
2 ms |
340 KB |
Output is correct |
34 |
Correct |
3 ms |
340 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
2 ms |
340 KB |
Output is correct |
37 |
Correct |
2 ms |
340 KB |
Output is correct |
38 |
Correct |
2 ms |
340 KB |
Output is correct |
39 |
Correct |
7 ms |
468 KB |
Output is correct |
40 |
Correct |
7 ms |
472 KB |
Output is correct |
41 |
Correct |
8 ms |
460 KB |
Output is correct |
42 |
Correct |
6 ms |
468 KB |
Output is correct |
43 |
Correct |
9 ms |
480 KB |
Output is correct |
44 |
Correct |
8 ms |
468 KB |
Output is correct |
45 |
Correct |
8 ms |
340 KB |
Output is correct |
46 |
Correct |
7 ms |
468 KB |
Output is correct |
47 |
Correct |
58 ms |
852 KB |
Output is correct |
48 |
Correct |
51 ms |
860 KB |
Output is correct |
49 |
Correct |
54 ms |
852 KB |
Output is correct |
50 |
Correct |
52 ms |
852 KB |
Output is correct |
51 |
Correct |
65 ms |
852 KB |
Output is correct |
52 |
Correct |
66 ms |
852 KB |
Output is correct |
53 |
Correct |
54 ms |
852 KB |
Output is correct |
54 |
Correct |
55 ms |
852 KB |
Output is correct |
55 |
Correct |
0 ms |
212 KB |
Output is correct |
56 |
Correct |
3 ms |
340 KB |
Output is correct |
57 |
Correct |
2 ms |
340 KB |
Output is correct |
58 |
Correct |
3 ms |
336 KB |
Output is correct |
59 |
Correct |
2 ms |
340 KB |
Output is correct |
60 |
Correct |
2 ms |
340 KB |
Output is correct |
61 |
Correct |
2 ms |
340 KB |
Output is correct |
62 |
Correct |
2 ms |
332 KB |
Output is correct |
63 |
Correct |
2 ms |
340 KB |
Output is correct |
64 |
Correct |
2 ms |
340 KB |
Output is correct |
65 |
Correct |
7 ms |
408 KB |
Output is correct |
66 |
Correct |
6 ms |
468 KB |
Output is correct |
67 |
Correct |
7 ms |
468 KB |
Output is correct |
68 |
Correct |
6 ms |
472 KB |
Output is correct |
69 |
Correct |
7 ms |
468 KB |
Output is correct |
70 |
Correct |
7 ms |
472 KB |
Output is correct |
71 |
Correct |
8 ms |
468 KB |
Output is correct |
72 |
Correct |
7 ms |
468 KB |
Output is correct |
73 |
Correct |
49 ms |
852 KB |
Output is correct |
74 |
Correct |
60 ms |
852 KB |
Output is correct |
75 |
Correct |
67 ms |
852 KB |
Output is correct |
76 |
Correct |
57 ms |
852 KB |
Output is correct |
77 |
Correct |
54 ms |
852 KB |
Output is correct |
78 |
Correct |
53 ms |
852 KB |
Output is correct |
79 |
Correct |
57 ms |
852 KB |
Output is correct |
80 |
Correct |
52 ms |
852 KB |
Output is correct |
81 |
Correct |
1792 ms |
5068 KB |
Output is correct |
82 |
Correct |
1616 ms |
4948 KB |
Output is correct |
83 |
Correct |
1735 ms |
4948 KB |
Output is correct |
84 |
Correct |
1707 ms |
4920 KB |
Output is correct |
85 |
Correct |
1499 ms |
4924 KB |
Output is correct |
86 |
Correct |
1553 ms |
4948 KB |
Output is correct |
87 |
Correct |
1657 ms |
4948 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Incorrect |
9 ms |
456 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |