#include <stdio.h>
#include <string.h>
#define N 100
#define S (N * N)
#define INF 0x3f3f3f3f
long long min(long long a, long long b) { return a < b ? a : b; }
long long max(long long a, long long b) { return a > b ? a : b; }
void update(int *dp, int s_, int a, int k, int c) {
static int dq[S * 2 + 1], qu[S * 2 + 1];
int s, r, head, cnt;
if (a > 0) {
for (s = 0; s <= s_; s++)
dq[s] = dp[s] == -INF ? -INF : dp[s] - s / a * c;
for (r = 0; r < a; r++) {
head = cnt = 0;
for (s = r; s <= s_; s += a) {
if (dq[s] != -INF) {
while (cnt && dq[qu[head + cnt - 1]] < dq[s])
cnt--;
qu[head + cnt++] = s;
}
dp[s] = cnt == 0 ? -INF : dq[qu[head]] + s / a * c;
if (cnt && qu[head] == s - a * k)
head++, cnt--;
}
}
} else if (a < 0) {
a = -a;
for (s = 0; s <= s_; s++)
dq[s] = dp[s] == -INF ? -INF : dp[s] + s / a * c;
for (r = 0; r < a; r++) {
head = cnt = 0;
for (s = (s_ - r) / a * a + r; s >= 0; s -= a) {
if (dq[s] != -INF) {
while (cnt && dq[qu[head + cnt - 1]] < dq[s])
cnt--;
qu[head + cnt++] = s;
}
dp[s] = cnt == 0 ? -INF : dq[qu[head]] - s / a * c;
if (cnt && qu[head] == s + a * k)
head++, cnt--;
}
}
} else {
if (c <= 0)
return;
for (s = 0; s <= s_; s++)
if (dp[s] != -INF)
dp[s] += k * c;
}
}
long long solve(long long *kk, int n, long long s_) {
static int dp[S * 2 + 1], dq[N + 1][S + 1];
int a, s1, s2;
long long s, s0, k, k0, ans;
for (s = 0; s <= S; s++)
dp[s] = -INF;
dp[0] = 0;
for (a = n; a >= 0; a--) {
memcpy(dq[a], dp, (S + 1) * sizeof *dp);
update(dp, S, a, min(kk[n + a], n), 1);
}
for (s = 0; s <= S * 2; s++)
dp[s] = -INF;
dp[S + 0] = 0;
s0 = 0, k0 = 0;
for (a = -n; a < 0; a++) {
update(dp, S * 2, a, min(kk[n + a], n), -1);
s0 += kk[n + a] * a, k0 += kk[n + a];
}
ans = -INF;
for (a = 0; a <= n; a++) {
for (s1 = 0; s1 <= S * 2; s1++)
if (dp[s1] != -INF)
for (s2 = 0; s2 <= S; s2++)
if (dq[a][s2] != -INF) {
s = s0 - (s1 - S) + s2;
if (a == 0) {
if (s == s_)
ans = max(ans, k0 + dp[s1] + dq[a][s2] + kk[n + a]);
} else {
if (s <= s_ && (s_ - s) % a == 0 && (k = (s_ - s) / a) <= kk[n + a])
ans = max(ans, k0 + dp[s1] + dq[a][s2] + k);
}
}
update(dp, S * 2, a, min(kk[n + a], n), -1);
s0 += kk[n + a] * a, k0 += kk[n + a];
}
return ans;
}
int main() {
static long long kk[N * 2 + 1];
int n, a, r;
long long s, ans, tmp;
scanf("%d%lld", &n, &s);
for (a = -n; a <= n; a++)
scanf("%lld", &kk[n + a]);
ans = -INF;
for (r = 0; r < 2; r++) {
ans = max(ans, solve(kk, n, s));
for (a = 1; a <= n; a++)
tmp = kk[n - a], kk[n - a] = kk[n + a], kk[n + a] = tmp;
s = -s;
}
if (ans == -INF)
printf("impossible\n");
else
printf("%lld\n", ans);
return 0;
}
Compilation message
vault.c: In function 'main':
vault.c:103:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
103 | scanf("%d%lld", &n, &s);
| ^~~~~~~~~~~~~~~~~~~~~~~
vault.c:105:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
105 | scanf("%lld", &kk[n + a]);
| ^~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
596 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
27 ms |
852 KB |
Output is correct |
5 |
Execution timed out |
5071 ms |
2472 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
596 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
27 ms |
852 KB |
Output is correct |
5 |
Execution timed out |
5071 ms |
2472 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
852 KB |
Output is correct |
2 |
Execution timed out |
5063 ms |
1620 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
852 KB |
Output is correct |
2 |
Execution timed out |
5063 ms |
1620 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
852 KB |
Output is correct |
2 |
Execution timed out |
5063 ms |
1620 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
596 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
27 ms |
852 KB |
Output is correct |
5 |
Execution timed out |
5071 ms |
2472 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
852 KB |
Output is correct |
2 |
Execution timed out |
5063 ms |
1620 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
596 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
27 ms |
852 KB |
Output is correct |
5 |
Execution timed out |
5071 ms |
2472 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
852 KB |
Output is correct |
2 |
Execution timed out |
5063 ms |
1620 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
596 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
27 ms |
852 KB |
Output is correct |
5 |
Execution timed out |
5071 ms |
2472 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |