#include <bits/stdc++.h>
#include <bits/extc++.h>
#define StarBurstStream ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define iter(a) a.begin(), a.end()
#define riter(a) a.rbegin(), a.rend()
#define lsort(a) sort(iter(a))
#define gsort(a) sort(riter(a))
#define pb(a) push_back(a)
#define eb(a) emplace_back(a)
#define pf(a) push_front(a)
#define ef(a) emplace_front(a)
#define pob pop_back()
#define pof pop_front()
#define mp(a, b) make_pair(a, b)
#define F first
#define S second
#define mt make_tuple
#define gt(t, i) get<i>(t)
#define tomax(a, b) ((a) = max((a), (b)))
#define tomin(a, b) ((a) = min((a), (b)))
#define topos(a) ((a) = (((a) % MOD + MOD) % MOD))
#define uni(a) a.resize(unique(iter(a)) - a.begin())
#define printv(a, b) {bool pvaspace=false; \
for(auto pva : a){ \
if(pvaspace) b << " "; pvaspace=true;\
b << pva;\
}\
b << "\n";}
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<ld, ld>;
using tiii = tuple<int, int, int>;
const ll MOD = 1000000007;
const ll MAX = 2147483647;
template<typename A, typename B>
ostream& operator<<(ostream& o, pair<A, B> p){
return o << '(' << p.F << ',' << p.S << ')';
}
ll ifloor(ll a, ll b){
if(b < 0) a *= -1, b *= -1;
if(a < 0) return (a - b + 1) / b;
else return a / b;
}
ll iceil(ll a, ll b){
if(b < 0) a *= -1, b *= -1;
if(a > 0) return (a + b - 1) / b;
else return a / b;
}
int M;
int S;
ll L;
vector<ll> dp;
void waassert(bool t){
return;
if(t) return;
cout << "OAO\n";
exit(0);
}
void upd_pos(int sz, ll cnt, int t){
if(cnt == 0) return;
waassert(sz > 0 && cnt > 0);
vector<deque<pll>> dq(sz);
for(int i = 0; i <= 2 * S; i++){
int id = i % sz;
ll tmp = dp[i] - i / sz * t;
while(!dq[id].empty() && dq[id].back().S <= tmp) dq[id].pob;
dq[id].eb(mp(i, tmp));
while(!dq[id].empty() && dq[id].front().F / sz < i / sz - cnt) dq[id].pof;
dp[i] = max(dp[i], dq[id].front().S + i / sz * t);
}
/*cerr << "upd_pos " << sz << " " << cnt << "\n";
printv(dp, cerr);*/
}
void upd_neg(int sz, ll cnt, int t){
if(cnt == 0) return;
waassert(sz > 0 && cnt > 0);
vector<deque<pll>> dq(sz);
for(int i = 2 * S; i >= 0; i--){
int id = i % sz;
ll tmp = dp[i] + i / sz * t;
while(!dq[id].empty() && dq[id].back().S <= tmp) dq[id].pob;
dq[id].eb(mp(i, tmp));
while(!dq[id].empty() && dq[id].front().F / sz > i / sz + cnt) dq[id].pof;
dp[i] = max(dp[i], dq[id].front().S - i / sz * t);
}
/*cerr << "upd_neg " << sz << " " << cnt << "\n";
printv(dp, cerr);*/
}
int main(){
StarBurstStream
cin >> M;
cin >> L;
ll sum = 0;
vector<ll> _a(2 * M + 1), _b(2 * M + 1);
function<ll&(int)> a = [&](int x) -> ll&{
waassert(M + x >= 0 && M + x <= 2 * M);
return _a[M + x];
};
function<ll&(int)> b = [&](int x) -> ll&{
waassert(M + x >= 0 && M + x <= 2 * M);
return _b[M + x];
};
for(int i = -M; i <= M; i++){
cin >> a(i);
sum += a(i) * i;
}
if(sum <= L){
for(int i = -M; i < 0; i++){
swap(a(i), a(-i));
}
L = -L;
}
int p = -M - 1;
sum = 0;
for(int i = -M; i <= M; i++){
sum += a(i) * i;
if(sum <= L) p = i;
}
sum = 0;
ll total = 0;
for(int i = -M; i <= p; i++){
sum += a(i) * i;
b(i) = a(i);
total += b(i);
}
if(p < M){
b(p + 1) = (L - sum) / (p + 1);
sum += b(p + 1) * (p + 1);
total += b(p + 1);
}
//total = a(0);
/*cerr << "test " << sum << " " << L << " " << L - sum << "\n";
printv(_a, cerr);
printv(_b, cerr);*/
S = max(M * M, 10000);;
dp.resize(2 * S + 1, -(1LL << 60));
dp[S] = 0;
//printv(dp, cerr);
for(int i = -M; i <= M; i++){
if(i == 0) continue;
if(i < 0){
upd_pos(-i, b(i), -1);
upd_neg(-i, a(i) - b(i), 1);
}
else{
upd_pos(i, a(i) - b(i), 1);
upd_neg(i, b(i), -1);
}
}
ll ans = L - sum > S ? -(1LL << 60) : dp[S + L - sum];
if(ans < -1e9) cout << "impossible\n";
else cout << total + ans << "\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
468 KB |
Output is correct |
2 |
Correct |
3 ms |
468 KB |
Output is correct |
3 |
Correct |
2 ms |
468 KB |
Output is correct |
4 |
Correct |
6 ms |
468 KB |
Output is correct |
5 |
Incorrect |
55 ms |
528 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
468 KB |
Output is correct |
2 |
Correct |
3 ms |
468 KB |
Output is correct |
3 |
Correct |
2 ms |
468 KB |
Output is correct |
4 |
Correct |
6 ms |
468 KB |
Output is correct |
5 |
Incorrect |
55 ms |
528 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
468 KB |
Output is correct |
2 |
Correct |
15 ms |
468 KB |
Output is correct |
3 |
Correct |
5 ms |
468 KB |
Output is correct |
4 |
Correct |
16 ms |
596 KB |
Output is correct |
5 |
Correct |
15 ms |
656 KB |
Output is correct |
6 |
Correct |
15 ms |
596 KB |
Output is correct |
7 |
Correct |
2 ms |
724 KB |
Output is correct |
8 |
Correct |
3 ms |
596 KB |
Output is correct |
9 |
Correct |
9 ms |
596 KB |
Output is correct |
10 |
Correct |
11 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
468 KB |
Output is correct |
2 |
Correct |
15 ms |
468 KB |
Output is correct |
3 |
Correct |
5 ms |
468 KB |
Output is correct |
4 |
Correct |
16 ms |
596 KB |
Output is correct |
5 |
Correct |
15 ms |
656 KB |
Output is correct |
6 |
Correct |
15 ms |
596 KB |
Output is correct |
7 |
Correct |
2 ms |
724 KB |
Output is correct |
8 |
Correct |
3 ms |
596 KB |
Output is correct |
9 |
Correct |
9 ms |
596 KB |
Output is correct |
10 |
Correct |
11 ms |
468 KB |
Output is correct |
11 |
Correct |
2 ms |
468 KB |
Output is correct |
12 |
Correct |
2 ms |
468 KB |
Output is correct |
13 |
Correct |
2 ms |
468 KB |
Output is correct |
14 |
Correct |
6 ms |
468 KB |
Output is correct |
15 |
Correct |
15 ms |
468 KB |
Output is correct |
16 |
Correct |
5 ms |
468 KB |
Output is correct |
17 |
Correct |
16 ms |
596 KB |
Output is correct |
18 |
Correct |
16 ms |
664 KB |
Output is correct |
19 |
Correct |
16 ms |
596 KB |
Output is correct |
20 |
Correct |
2 ms |
724 KB |
Output is correct |
21 |
Correct |
3 ms |
596 KB |
Output is correct |
22 |
Correct |
10 ms |
596 KB |
Output is correct |
23 |
Correct |
11 ms |
468 KB |
Output is correct |
24 |
Correct |
29 ms |
508 KB |
Output is correct |
25 |
Correct |
12 ms |
636 KB |
Output is correct |
26 |
Correct |
28 ms |
636 KB |
Output is correct |
27 |
Correct |
28 ms |
628 KB |
Output is correct |
28 |
Correct |
27 ms |
640 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
468 KB |
Output is correct |
2 |
Correct |
15 ms |
468 KB |
Output is correct |
3 |
Correct |
5 ms |
468 KB |
Output is correct |
4 |
Correct |
16 ms |
596 KB |
Output is correct |
5 |
Correct |
15 ms |
656 KB |
Output is correct |
6 |
Correct |
15 ms |
596 KB |
Output is correct |
7 |
Correct |
2 ms |
724 KB |
Output is correct |
8 |
Correct |
3 ms |
596 KB |
Output is correct |
9 |
Correct |
9 ms |
596 KB |
Output is correct |
10 |
Correct |
11 ms |
468 KB |
Output is correct |
11 |
Correct |
6 ms |
468 KB |
Output is correct |
12 |
Correct |
16 ms |
556 KB |
Output is correct |
13 |
Correct |
5 ms |
496 KB |
Output is correct |
14 |
Correct |
16 ms |
596 KB |
Output is correct |
15 |
Correct |
15 ms |
652 KB |
Output is correct |
16 |
Correct |
15 ms |
596 KB |
Output is correct |
17 |
Correct |
2 ms |
724 KB |
Output is correct |
18 |
Correct |
3 ms |
596 KB |
Output is correct |
19 |
Correct |
10 ms |
596 KB |
Output is correct |
20 |
Correct |
11 ms |
468 KB |
Output is correct |
21 |
Correct |
2 ms |
468 KB |
Output is correct |
22 |
Correct |
4 ms |
468 KB |
Output is correct |
23 |
Correct |
24 ms |
596 KB |
Output is correct |
24 |
Correct |
11 ms |
596 KB |
Output is correct |
25 |
Correct |
25 ms |
660 KB |
Output is correct |
26 |
Correct |
25 ms |
628 KB |
Output is correct |
27 |
Correct |
23 ms |
596 KB |
Output is correct |
28 |
Correct |
18 ms |
596 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
468 KB |
Output is correct |
2 |
Correct |
3 ms |
468 KB |
Output is correct |
3 |
Correct |
2 ms |
468 KB |
Output is correct |
4 |
Correct |
6 ms |
468 KB |
Output is correct |
5 |
Incorrect |
55 ms |
528 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
468 KB |
Output is correct |
2 |
Correct |
15 ms |
468 KB |
Output is correct |
3 |
Correct |
5 ms |
468 KB |
Output is correct |
4 |
Correct |
16 ms |
596 KB |
Output is correct |
5 |
Correct |
15 ms |
656 KB |
Output is correct |
6 |
Correct |
15 ms |
596 KB |
Output is correct |
7 |
Correct |
2 ms |
724 KB |
Output is correct |
8 |
Correct |
3 ms |
596 KB |
Output is correct |
9 |
Correct |
9 ms |
596 KB |
Output is correct |
10 |
Correct |
11 ms |
468 KB |
Output is correct |
11 |
Correct |
6 ms |
468 KB |
Output is correct |
12 |
Correct |
16 ms |
556 KB |
Output is correct |
13 |
Correct |
5 ms |
496 KB |
Output is correct |
14 |
Correct |
16 ms |
596 KB |
Output is correct |
15 |
Correct |
15 ms |
652 KB |
Output is correct |
16 |
Correct |
15 ms |
596 KB |
Output is correct |
17 |
Correct |
2 ms |
724 KB |
Output is correct |
18 |
Correct |
3 ms |
596 KB |
Output is correct |
19 |
Correct |
10 ms |
596 KB |
Output is correct |
20 |
Correct |
11 ms |
468 KB |
Output is correct |
21 |
Correct |
2 ms |
468 KB |
Output is correct |
22 |
Correct |
4 ms |
468 KB |
Output is correct |
23 |
Correct |
24 ms |
596 KB |
Output is correct |
24 |
Correct |
11 ms |
596 KB |
Output is correct |
25 |
Correct |
25 ms |
660 KB |
Output is correct |
26 |
Correct |
25 ms |
628 KB |
Output is correct |
27 |
Correct |
23 ms |
596 KB |
Output is correct |
28 |
Correct |
18 ms |
596 KB |
Output is correct |
29 |
Correct |
7 ms |
468 KB |
Output is correct |
30 |
Correct |
16 ms |
564 KB |
Output is correct |
31 |
Correct |
5 ms |
524 KB |
Output is correct |
32 |
Correct |
16 ms |
596 KB |
Output is correct |
33 |
Correct |
16 ms |
596 KB |
Output is correct |
34 |
Correct |
16 ms |
596 KB |
Output is correct |
35 |
Correct |
2 ms |
724 KB |
Output is correct |
36 |
Correct |
3 ms |
596 KB |
Output is correct |
37 |
Correct |
11 ms |
596 KB |
Output is correct |
38 |
Correct |
10 ms |
468 KB |
Output is correct |
39 |
Correct |
2 ms |
468 KB |
Output is correct |
40 |
Correct |
3 ms |
468 KB |
Output is correct |
41 |
Correct |
24 ms |
596 KB |
Output is correct |
42 |
Correct |
11 ms |
596 KB |
Output is correct |
43 |
Correct |
24 ms |
596 KB |
Output is correct |
44 |
Correct |
25 ms |
596 KB |
Output is correct |
45 |
Correct |
25 ms |
596 KB |
Output is correct |
46 |
Correct |
18 ms |
556 KB |
Output is correct |
47 |
Correct |
2 ms |
724 KB |
Output is correct |
48 |
Correct |
3 ms |
596 KB |
Output is correct |
49 |
Correct |
42 ms |
640 KB |
Output is correct |
50 |
Correct |
18 ms |
556 KB |
Output is correct |
51 |
Correct |
46 ms |
648 KB |
Output is correct |
52 |
Correct |
49 ms |
656 KB |
Output is correct |
53 |
Correct |
48 ms |
596 KB |
Output is correct |
54 |
Correct |
37 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
468 KB |
Output is correct |
2 |
Correct |
3 ms |
468 KB |
Output is correct |
3 |
Correct |
2 ms |
468 KB |
Output is correct |
4 |
Correct |
6 ms |
468 KB |
Output is correct |
5 |
Incorrect |
55 ms |
528 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
468 KB |
Output is correct |
2 |
Correct |
15 ms |
468 KB |
Output is correct |
3 |
Correct |
5 ms |
468 KB |
Output is correct |
4 |
Correct |
16 ms |
596 KB |
Output is correct |
5 |
Correct |
15 ms |
656 KB |
Output is correct |
6 |
Correct |
15 ms |
596 KB |
Output is correct |
7 |
Correct |
2 ms |
724 KB |
Output is correct |
8 |
Correct |
3 ms |
596 KB |
Output is correct |
9 |
Correct |
9 ms |
596 KB |
Output is correct |
10 |
Correct |
11 ms |
468 KB |
Output is correct |
11 |
Correct |
6 ms |
468 KB |
Output is correct |
12 |
Correct |
16 ms |
556 KB |
Output is correct |
13 |
Correct |
5 ms |
496 KB |
Output is correct |
14 |
Correct |
16 ms |
596 KB |
Output is correct |
15 |
Correct |
15 ms |
652 KB |
Output is correct |
16 |
Correct |
15 ms |
596 KB |
Output is correct |
17 |
Correct |
2 ms |
724 KB |
Output is correct |
18 |
Correct |
3 ms |
596 KB |
Output is correct |
19 |
Correct |
10 ms |
596 KB |
Output is correct |
20 |
Correct |
11 ms |
468 KB |
Output is correct |
21 |
Correct |
2 ms |
468 KB |
Output is correct |
22 |
Correct |
4 ms |
468 KB |
Output is correct |
23 |
Correct |
24 ms |
596 KB |
Output is correct |
24 |
Correct |
11 ms |
596 KB |
Output is correct |
25 |
Correct |
25 ms |
660 KB |
Output is correct |
26 |
Correct |
25 ms |
628 KB |
Output is correct |
27 |
Correct |
23 ms |
596 KB |
Output is correct |
28 |
Correct |
18 ms |
596 KB |
Output is correct |
29 |
Correct |
7 ms |
468 KB |
Output is correct |
30 |
Correct |
16 ms |
564 KB |
Output is correct |
31 |
Correct |
5 ms |
524 KB |
Output is correct |
32 |
Correct |
16 ms |
596 KB |
Output is correct |
33 |
Correct |
16 ms |
596 KB |
Output is correct |
34 |
Correct |
16 ms |
596 KB |
Output is correct |
35 |
Correct |
2 ms |
724 KB |
Output is correct |
36 |
Correct |
3 ms |
596 KB |
Output is correct |
37 |
Correct |
11 ms |
596 KB |
Output is correct |
38 |
Correct |
10 ms |
468 KB |
Output is correct |
39 |
Correct |
2 ms |
468 KB |
Output is correct |
40 |
Correct |
3 ms |
468 KB |
Output is correct |
41 |
Correct |
24 ms |
596 KB |
Output is correct |
42 |
Correct |
11 ms |
596 KB |
Output is correct |
43 |
Correct |
24 ms |
596 KB |
Output is correct |
44 |
Correct |
25 ms |
596 KB |
Output is correct |
45 |
Correct |
25 ms |
596 KB |
Output is correct |
46 |
Correct |
18 ms |
556 KB |
Output is correct |
47 |
Correct |
2 ms |
724 KB |
Output is correct |
48 |
Correct |
3 ms |
596 KB |
Output is correct |
49 |
Correct |
42 ms |
640 KB |
Output is correct |
50 |
Correct |
18 ms |
556 KB |
Output is correct |
51 |
Correct |
46 ms |
648 KB |
Output is correct |
52 |
Correct |
49 ms |
656 KB |
Output is correct |
53 |
Correct |
48 ms |
596 KB |
Output is correct |
54 |
Correct |
37 ms |
604 KB |
Output is correct |
55 |
Correct |
5 ms |
468 KB |
Output is correct |
56 |
Correct |
15 ms |
468 KB |
Output is correct |
57 |
Correct |
6 ms |
492 KB |
Output is correct |
58 |
Correct |
14 ms |
596 KB |
Output is correct |
59 |
Correct |
15 ms |
648 KB |
Output is correct |
60 |
Correct |
15 ms |
596 KB |
Output is correct |
61 |
Correct |
2 ms |
724 KB |
Output is correct |
62 |
Correct |
3 ms |
596 KB |
Output is correct |
63 |
Correct |
10 ms |
596 KB |
Output is correct |
64 |
Correct |
11 ms |
596 KB |
Output is correct |
65 |
Correct |
2 ms |
468 KB |
Output is correct |
66 |
Correct |
3 ms |
468 KB |
Output is correct |
67 |
Correct |
23 ms |
564 KB |
Output is correct |
68 |
Correct |
11 ms |
596 KB |
Output is correct |
69 |
Correct |
22 ms |
660 KB |
Output is correct |
70 |
Correct |
23 ms |
628 KB |
Output is correct |
71 |
Correct |
22 ms |
596 KB |
Output is correct |
72 |
Correct |
17 ms |
556 KB |
Output is correct |
73 |
Correct |
2 ms |
596 KB |
Output is correct |
74 |
Correct |
4 ms |
596 KB |
Output is correct |
75 |
Correct |
44 ms |
656 KB |
Output is correct |
76 |
Correct |
18 ms |
468 KB |
Output is correct |
77 |
Correct |
43 ms |
656 KB |
Output is correct |
78 |
Correct |
45 ms |
644 KB |
Output is correct |
79 |
Correct |
42 ms |
596 KB |
Output is correct |
80 |
Correct |
38 ms |
584 KB |
Output is correct |
81 |
Correct |
1128 ms |
3332 KB |
Output is correct |
82 |
Correct |
515 ms |
2260 KB |
Output is correct |
83 |
Correct |
1147 ms |
3280 KB |
Output is correct |
84 |
Correct |
1175 ms |
3276 KB |
Output is correct |
85 |
Correct |
14 ms |
4820 KB |
Output is correct |
86 |
Correct |
26 ms |
4056 KB |
Output is correct |
87 |
Correct |
976 ms |
3076 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
468 KB |
Output is correct |
2 |
Correct |
3 ms |
468 KB |
Output is correct |
3 |
Correct |
2 ms |
468 KB |
Output is correct |
4 |
Correct |
6 ms |
468 KB |
Output is correct |
5 |
Incorrect |
55 ms |
528 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |