#include <bits/stdc++.h>
using ll = long long;
using std::vector;
using std::pair;
using std::deque;
constexpr int inf = std::numeric_limits<int>::max() / 2;
int main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(nullptr);
int M;
ll T;
std::cin >> M >> T;
vector<ll> A(2 * M + 1);
ll S = 0;
for (int i = -M; i <= M; ++i) {
std::cin >> A[i + M];
S += i * A[i + M];
}
if (S < T) {
T = -T;
std::reverse(A.begin(), A.end());
}
const int N = M * M;
vector<int> dp(2 * N + 1, -inf);
dp[N] = 0;
const auto update_positive = [&](const ll K, const int W, const int V) {
for (int r = 0; r < W; ++r) {
if (r >= (int)dp.size()) {
break;
}
deque<pair<int, int>> deq;
for (int q = 0;; ++q) {
const int i = q * W + r;
if (i >= (int)dp.size()) {
break;
}
const int add = dp[i] - q * V;
while (!deq.empty() and deq.back().first < add) {
deq.pop_back();
}
deq.emplace_back(add, q);
while (deq.front().second + K < q) {
deq.pop_front();
}
dp[i] = deq.front().first + q * V;
}
}
};
const auto update = [&](const ll K, const int W, const int V) {
if (W > 0) {
update_positive(K, W, V);
}
if (W < 0) {
std::reverse(dp.begin(), dp.end());
update_positive(K, -W, V);
std::reverse(dp.begin(), dp.end());
}
};
S = 0;
ll sum = 0;
for (int i = -M; i <= M; ++i) {
const ll take = i <= 0 ? A[i + M] : std::min(A[i + M], (T - S) / i);
const ll remain = A[i + M] - take;
S += i * take;
sum += take;
update(take, -i, -1);
update(remain, i, 1);
}
if (std::abs(T - S) > N or dp[T - S + N] < -2 * M) {
std::cout << "impossible\n";
} else {
std::cout << sum + dp[T - S + N] << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Runtime error |
6 ms |
468 KB |
Execution killed with signal 6 |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Runtime error |
6 ms |
468 KB |
Execution killed with signal 6 |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
2 ms |
212 KB |
Output is correct |
3 |
Correct |
3 ms |
212 KB |
Output is correct |
4 |
Correct |
3 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
340 KB |
Output is correct |
6 |
Correct |
2 ms |
212 KB |
Output is correct |
7 |
Correct |
3 ms |
256 KB |
Output is correct |
8 |
Correct |
3 ms |
212 KB |
Output is correct |
9 |
Correct |
3 ms |
212 KB |
Output is correct |
10 |
Correct |
3 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
2 ms |
212 KB |
Output is correct |
3 |
Correct |
3 ms |
212 KB |
Output is correct |
4 |
Correct |
3 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
340 KB |
Output is correct |
6 |
Correct |
2 ms |
212 KB |
Output is correct |
7 |
Correct |
3 ms |
256 KB |
Output is correct |
8 |
Correct |
3 ms |
212 KB |
Output is correct |
9 |
Correct |
3 ms |
212 KB |
Output is correct |
10 |
Correct |
3 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
2 ms |
324 KB |
Output is correct |
16 |
Correct |
3 ms |
212 KB |
Output is correct |
17 |
Correct |
3 ms |
212 KB |
Output is correct |
18 |
Correct |
2 ms |
212 KB |
Output is correct |
19 |
Correct |
3 ms |
212 KB |
Output is correct |
20 |
Correct |
2 ms |
212 KB |
Output is correct |
21 |
Correct |
3 ms |
212 KB |
Output is correct |
22 |
Correct |
3 ms |
212 KB |
Output is correct |
23 |
Correct |
3 ms |
212 KB |
Output is correct |
24 |
Correct |
3 ms |
340 KB |
Output is correct |
25 |
Correct |
3 ms |
212 KB |
Output is correct |
26 |
Correct |
2 ms |
212 KB |
Output is correct |
27 |
Correct |
3 ms |
212 KB |
Output is correct |
28 |
Correct |
3 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
2 ms |
212 KB |
Output is correct |
3 |
Correct |
3 ms |
212 KB |
Output is correct |
4 |
Correct |
3 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
340 KB |
Output is correct |
6 |
Correct |
2 ms |
212 KB |
Output is correct |
7 |
Correct |
3 ms |
256 KB |
Output is correct |
8 |
Correct |
3 ms |
212 KB |
Output is correct |
9 |
Correct |
3 ms |
212 KB |
Output is correct |
10 |
Correct |
3 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
2 ms |
212 KB |
Output is correct |
13 |
Correct |
3 ms |
212 KB |
Output is correct |
14 |
Correct |
3 ms |
328 KB |
Output is correct |
15 |
Correct |
2 ms |
212 KB |
Output is correct |
16 |
Correct |
3 ms |
212 KB |
Output is correct |
17 |
Correct |
2 ms |
212 KB |
Output is correct |
18 |
Correct |
3 ms |
212 KB |
Output is correct |
19 |
Correct |
3 ms |
212 KB |
Output is correct |
20 |
Correct |
3 ms |
212 KB |
Output is correct |
21 |
Correct |
10 ms |
212 KB |
Output is correct |
22 |
Correct |
11 ms |
332 KB |
Output is correct |
23 |
Correct |
10 ms |
212 KB |
Output is correct |
24 |
Correct |
10 ms |
332 KB |
Output is correct |
25 |
Correct |
11 ms |
340 KB |
Output is correct |
26 |
Correct |
10 ms |
336 KB |
Output is correct |
27 |
Correct |
10 ms |
352 KB |
Output is correct |
28 |
Correct |
10 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Runtime error |
6 ms |
468 KB |
Execution killed with signal 6 |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
2 ms |
212 KB |
Output is correct |
3 |
Correct |
3 ms |
212 KB |
Output is correct |
4 |
Correct |
3 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
340 KB |
Output is correct |
6 |
Correct |
2 ms |
212 KB |
Output is correct |
7 |
Correct |
3 ms |
256 KB |
Output is correct |
8 |
Correct |
3 ms |
212 KB |
Output is correct |
9 |
Correct |
3 ms |
212 KB |
Output is correct |
10 |
Correct |
3 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
2 ms |
212 KB |
Output is correct |
13 |
Correct |
3 ms |
212 KB |
Output is correct |
14 |
Correct |
3 ms |
328 KB |
Output is correct |
15 |
Correct |
2 ms |
212 KB |
Output is correct |
16 |
Correct |
3 ms |
212 KB |
Output is correct |
17 |
Correct |
2 ms |
212 KB |
Output is correct |
18 |
Correct |
3 ms |
212 KB |
Output is correct |
19 |
Correct |
3 ms |
212 KB |
Output is correct |
20 |
Correct |
3 ms |
212 KB |
Output is correct |
21 |
Correct |
10 ms |
212 KB |
Output is correct |
22 |
Correct |
11 ms |
332 KB |
Output is correct |
23 |
Correct |
10 ms |
212 KB |
Output is correct |
24 |
Correct |
10 ms |
332 KB |
Output is correct |
25 |
Correct |
11 ms |
340 KB |
Output is correct |
26 |
Correct |
10 ms |
336 KB |
Output is correct |
27 |
Correct |
10 ms |
352 KB |
Output is correct |
28 |
Correct |
10 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
3 ms |
212 KB |
Output is correct |
31 |
Correct |
3 ms |
212 KB |
Output is correct |
32 |
Correct |
2 ms |
212 KB |
Output is correct |
33 |
Correct |
4 ms |
212 KB |
Output is correct |
34 |
Correct |
3 ms |
212 KB |
Output is correct |
35 |
Correct |
3 ms |
212 KB |
Output is correct |
36 |
Correct |
3 ms |
212 KB |
Output is correct |
37 |
Correct |
3 ms |
212 KB |
Output is correct |
38 |
Correct |
2 ms |
244 KB |
Output is correct |
39 |
Correct |
10 ms |
332 KB |
Output is correct |
40 |
Correct |
10 ms |
212 KB |
Output is correct |
41 |
Correct |
11 ms |
340 KB |
Output is correct |
42 |
Correct |
10 ms |
212 KB |
Output is correct |
43 |
Correct |
10 ms |
336 KB |
Output is correct |
44 |
Correct |
11 ms |
336 KB |
Output is correct |
45 |
Correct |
10 ms |
340 KB |
Output is correct |
46 |
Correct |
10 ms |
340 KB |
Output is correct |
47 |
Correct |
76 ms |
340 KB |
Output is correct |
48 |
Correct |
81 ms |
372 KB |
Output is correct |
49 |
Correct |
80 ms |
376 KB |
Output is correct |
50 |
Correct |
75 ms |
376 KB |
Output is correct |
51 |
Correct |
78 ms |
404 KB |
Output is correct |
52 |
Correct |
77 ms |
388 KB |
Output is correct |
53 |
Correct |
81 ms |
376 KB |
Output is correct |
54 |
Correct |
80 ms |
408 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Runtime error |
6 ms |
468 KB |
Execution killed with signal 6 |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
2 ms |
212 KB |
Output is correct |
3 |
Correct |
3 ms |
212 KB |
Output is correct |
4 |
Correct |
3 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
340 KB |
Output is correct |
6 |
Correct |
2 ms |
212 KB |
Output is correct |
7 |
Correct |
3 ms |
256 KB |
Output is correct |
8 |
Correct |
3 ms |
212 KB |
Output is correct |
9 |
Correct |
3 ms |
212 KB |
Output is correct |
10 |
Correct |
3 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
2 ms |
212 KB |
Output is correct |
13 |
Correct |
3 ms |
212 KB |
Output is correct |
14 |
Correct |
3 ms |
328 KB |
Output is correct |
15 |
Correct |
2 ms |
212 KB |
Output is correct |
16 |
Correct |
3 ms |
212 KB |
Output is correct |
17 |
Correct |
2 ms |
212 KB |
Output is correct |
18 |
Correct |
3 ms |
212 KB |
Output is correct |
19 |
Correct |
3 ms |
212 KB |
Output is correct |
20 |
Correct |
3 ms |
212 KB |
Output is correct |
21 |
Correct |
10 ms |
212 KB |
Output is correct |
22 |
Correct |
11 ms |
332 KB |
Output is correct |
23 |
Correct |
10 ms |
212 KB |
Output is correct |
24 |
Correct |
10 ms |
332 KB |
Output is correct |
25 |
Correct |
11 ms |
340 KB |
Output is correct |
26 |
Correct |
10 ms |
336 KB |
Output is correct |
27 |
Correct |
10 ms |
352 KB |
Output is correct |
28 |
Correct |
10 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
3 ms |
212 KB |
Output is correct |
31 |
Correct |
3 ms |
212 KB |
Output is correct |
32 |
Correct |
2 ms |
212 KB |
Output is correct |
33 |
Correct |
4 ms |
212 KB |
Output is correct |
34 |
Correct |
3 ms |
212 KB |
Output is correct |
35 |
Correct |
3 ms |
212 KB |
Output is correct |
36 |
Correct |
3 ms |
212 KB |
Output is correct |
37 |
Correct |
3 ms |
212 KB |
Output is correct |
38 |
Correct |
2 ms |
244 KB |
Output is correct |
39 |
Correct |
10 ms |
332 KB |
Output is correct |
40 |
Correct |
10 ms |
212 KB |
Output is correct |
41 |
Correct |
11 ms |
340 KB |
Output is correct |
42 |
Correct |
10 ms |
212 KB |
Output is correct |
43 |
Correct |
10 ms |
336 KB |
Output is correct |
44 |
Correct |
11 ms |
336 KB |
Output is correct |
45 |
Correct |
10 ms |
340 KB |
Output is correct |
46 |
Correct |
10 ms |
340 KB |
Output is correct |
47 |
Correct |
76 ms |
340 KB |
Output is correct |
48 |
Correct |
81 ms |
372 KB |
Output is correct |
49 |
Correct |
80 ms |
376 KB |
Output is correct |
50 |
Correct |
75 ms |
376 KB |
Output is correct |
51 |
Correct |
78 ms |
404 KB |
Output is correct |
52 |
Correct |
77 ms |
388 KB |
Output is correct |
53 |
Correct |
81 ms |
376 KB |
Output is correct |
54 |
Correct |
80 ms |
408 KB |
Output is correct |
55 |
Correct |
1 ms |
212 KB |
Output is correct |
56 |
Correct |
2 ms |
212 KB |
Output is correct |
57 |
Correct |
3 ms |
212 KB |
Output is correct |
58 |
Correct |
3 ms |
212 KB |
Output is correct |
59 |
Correct |
3 ms |
212 KB |
Output is correct |
60 |
Correct |
3 ms |
212 KB |
Output is correct |
61 |
Correct |
3 ms |
212 KB |
Output is correct |
62 |
Correct |
3 ms |
212 KB |
Output is correct |
63 |
Correct |
3 ms |
212 KB |
Output is correct |
64 |
Correct |
3 ms |
212 KB |
Output is correct |
65 |
Correct |
10 ms |
336 KB |
Output is correct |
66 |
Correct |
11 ms |
340 KB |
Output is correct |
67 |
Correct |
11 ms |
336 KB |
Output is correct |
68 |
Correct |
10 ms |
212 KB |
Output is correct |
69 |
Correct |
11 ms |
344 KB |
Output is correct |
70 |
Correct |
10 ms |
340 KB |
Output is correct |
71 |
Correct |
10 ms |
340 KB |
Output is correct |
72 |
Correct |
10 ms |
336 KB |
Output is correct |
73 |
Correct |
74 ms |
376 KB |
Output is correct |
74 |
Correct |
76 ms |
392 KB |
Output is correct |
75 |
Correct |
81 ms |
480 KB |
Output is correct |
76 |
Correct |
81 ms |
384 KB |
Output is correct |
77 |
Correct |
77 ms |
524 KB |
Output is correct |
78 |
Correct |
75 ms |
340 KB |
Output is correct |
79 |
Correct |
76 ms |
340 KB |
Output is correct |
80 |
Correct |
80 ms |
392 KB |
Output is correct |
81 |
Correct |
2054 ms |
1188 KB |
Output is correct |
82 |
Correct |
2081 ms |
1032 KB |
Output is correct |
83 |
Correct |
2069 ms |
1028 KB |
Output is correct |
84 |
Correct |
2097 ms |
1184 KB |
Output is correct |
85 |
Correct |
2067 ms |
1016 KB |
Output is correct |
86 |
Correct |
2020 ms |
1020 KB |
Output is correct |
87 |
Correct |
2088 ms |
1356 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Runtime error |
6 ms |
468 KB |
Execution killed with signal 6 |
6 |
Halted |
0 ms |
0 KB |
- |