oj.uz

Submission #590168

# Submission time Handle Problem Language Result Execution time Memory
590168 2022-07-05T15:29:28 Z rainboy Uplifting Excursion (BOI22_vault) C
30 / 100
 3934 ms 17884 KB 
#include <stdio.h>
#include <string.h>

#define N	100
#define S	(N * N * N)
#define N_	30
#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 upd(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;
	}
}

int main() {
	static long long kk[N * 2 + 1];
	static int dp[S * 2 + 1], dq[N][S_ + 1];
	int n, a, s1, s2, subtask2;
	long long s, s_, s0, k0, k, ans;

	scanf("%d%lld", &n, &s_);
	subtask2 = n <= N;
	for (a = -n; a <= n; a++) {
		scanf("%lld", &kk[a + n]);
		if (kk[a + n] > N)
			subtask2 = 0;
	}
	if (subtask2) {
		if (s_ < -S || s_ > S) {
			printf("impossible\n");
			return 0;
		}
		for (s = 0; s <= S * 2; s++)
			dp[s] = -INF;
		dp[S + 0] = 0;
		for (a = -n; a <= n; a++)
			upd(dp, S * 2, a, kk[a + n], 1);
		if (dp[S + s_] == -INF)
			printf("impossible\n");
		else
			printf("%d\n", dp[S + s_]);
	} else if (n <= N_) {
		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);
			upd(dp, S_, a, min(kk[a + n], n), 1);
		}
		for (s = 0; s <= S_; s++)
			dp[s] = -INF;
		dp[0] = 0;
		ans = -INF, s0 = 0, k0 = 0;
		for (a = 0; a <= n; a++) {
			for (s1 = 0; s1 <= S_; s1++)
				if (dp[s1] != -INF)
					for (s2 = 0; s2 <= S_; s2++)
						if (dq[a][s2] != -INF) {
							s = s0 - s1 + s2;
							if (a == 0) {
								if (s == s_)
									ans = max(ans, k0 + dp[s1] + dq[a][s2] + kk[a + n]);
							} else {
								if (s <= s_ && (s_ - s) % a == 0 && (k = (s_ - s) / a) <= kk[a + n])
									ans = max(ans, k0 + dp[s1] + dq[a][s2] + k);
							}
						}
			upd(dp, S_, a, min(kk[a + n], n), -1);
			s0 += kk[a + n] * a, k0 += kk[a + n];
		}
		if (ans == -INF)
			printf("impossible\n");
		else
			printf("%lld\n", ans);
	}
	return 0;
}

Compilation message

vault.c: In function 'main':
vault.c:65:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   65 |  scanf("%d%lld", &n, &s_);
      |  ^~~~~~~~~~~~~~~~~~~~~~~~
vault.c:68:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   68 |   scanf("%lld", &kk[a + n]);
      |   ^~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 15828 KB Output is correct
2 Correct 38 ms 15932 KB Output is correct
3 Correct 22 ms 15952 KB Output is correct
4 Correct 195 ms 15928 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1724 ms 16068 KB Output is correct
7 Correct 1976 ms 15928 KB Output is correct
8 Correct 1686 ms 16068 KB Output is correct
9 Correct 1751 ms 16200 KB Output is correct
10 Correct 1701 ms 15928 KB Output is correct
11 Correct 1655 ms 15928 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 15828 KB Output is correct
2 Correct 38 ms 15932 KB Output is correct
3 Correct 22 ms 15952 KB Output is correct
4 Correct 195 ms 15928 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1724 ms 16068 KB Output is correct
7 Correct 1976 ms 15928 KB Output is correct
8 Correct 1686 ms 16068 KB Output is correct
9 Correct 1751 ms 16200 KB Output is correct
10 Correct 1701 ms 15928 KB Output is correct
11 Correct 1655 ms 15928 KB Output is correct
12 Correct 24 ms 15956 KB Output is correct
13 Correct 44 ms 15912 KB Output is correct
14 Correct 15 ms 15952 KB Output is correct
15 Correct 171 ms 15828 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1728 ms 16064 KB Output is correct
18 Correct 1825 ms 15976 KB Output is correct
19 Correct 1752 ms 16096 KB Output is correct
20 Correct 1878 ms 16060 KB Output is correct
21 Correct 1621 ms 15928 KB Output is correct
22 Correct 1631 ms 15932 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 3177 ms 16892 KB Output is correct
25 Correct 2869 ms 16444 KB Output is correct
26 Correct 3934 ms 17884 KB Output is correct
27 Correct 3738 ms 17784 KB Output is correct
28 Correct 2664 ms 15932 KB Output is correct
29 Correct 2698 ms 15828 KB Output is correct

Subtask #3-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 15936 KB Output is correct
2 Correct 192 ms 412 KB Output is correct
3 Correct 87 ms 408 KB Output is correct
4 Correct 84 ms 416 KB Output is correct
5 Correct 195 ms 404 KB Output is correct
6 Correct 16 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 55 ms 340 KB Output is correct
10 Correct 120 ms 412 KB Output is correct

Subtask #3-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 15936 KB Output is correct
2 Correct 192 ms 412 KB Output is correct
3 Correct 87 ms 408 KB Output is correct
4 Correct 84 ms 416 KB Output is correct
5 Correct 195 ms 404 KB Output is correct
6 Correct 16 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 55 ms 340 KB Output is correct
10 Correct 120 ms 412 KB Output is correct
11 Correct 24 ms 15828 KB Output is correct
12 Correct 38 ms 15932 KB Output is correct
13 Correct 15 ms 15952 KB Output is correct
14 Correct 161 ms 15828 KB Output is correct
15 Correct 193 ms 416 KB Output is correct
16 Correct 83 ms 404 KB Output is correct
17 Correct 81 ms 412 KB Output is correct
18 Correct 204 ms 420 KB Output is correct
19 Correct 17 ms 432 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 54 ms 420 KB Output is correct
23 Correct 115 ms 412 KB Output is correct
24 Incorrect 82 ms 340 KB Output isn't correct
25 Halted 0 ms 0 KB -

Subtask #4-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 15936 KB Output is correct
2 Correct 192 ms 412 KB Output is correct
3 Correct 87 ms 408 KB Output is correct
4 Correct 84 ms 416 KB Output is correct
5 Correct 195 ms 404 KB Output is correct
6 Correct 16 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 55 ms 340 KB Output is correct
10 Correct 120 ms 412 KB Output is correct
11 Correct 168 ms 15956 KB Output is correct
12 Correct 190 ms 408 KB Output is correct
13 Correct 83 ms 416 KB Output is correct
14 Correct 84 ms 340 KB Output is correct
15 Correct 202 ms 340 KB Output is correct
16 Correct 16 ms 436 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 420 KB Output is correct
19 Correct 51 ms 416 KB Output is correct
20 Correct 119 ms 340 KB Output is correct
21 Correct 1678 ms 15932 KB Output is correct
22 Correct 1834 ms 15932 KB Output is correct
23 Incorrect 0 ms 212 KB Output isn't correct
24 Halted 0 ms 0 KB -

Subtask #4-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 15828 KB Output is correct
2 Correct 38 ms 15932 KB Output is correct
3 Correct 22 ms 15952 KB Output is correct
4 Correct 195 ms 15928 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1724 ms 16068 KB Output is correct
7 Correct 1976 ms 15928 KB Output is correct
8 Correct 1686 ms 16068 KB Output is correct
9 Correct 1751 ms 16200 KB Output is correct
10 Correct 1701 ms 15928 KB Output is correct
11 Correct 1655 ms 15928 KB Output is correct
12 Correct 161 ms 15936 KB Output is correct
13 Correct 192 ms 412 KB Output is correct
14 Correct 87 ms 408 KB Output is correct
15 Correct 84 ms 416 KB Output is correct
16 Correct 195 ms 404 KB Output is correct
17 Correct 16 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 55 ms 340 KB Output is correct
21 Correct 120 ms 412 KB Output is correct
22 Correct 24 ms 15828 KB Output is correct
23 Correct 38 ms 15932 KB Output is correct
24 Correct 15 ms 15952 KB Output is correct
25 Correct 161 ms 15828 KB Output is correct
26 Correct 193 ms 416 KB Output is correct
27 Correct 83 ms 404 KB Output is correct
28 Correct 81 ms 412 KB Output is correct
29 Correct 204 ms 420 KB Output is correct
30 Correct 17 ms 432 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 54 ms 420 KB Output is correct
34 Correct 115 ms 412 KB Output is correct
35 Incorrect 82 ms 340 KB Output isn't correct
36 Halted 0 ms 0 KB -

Subtask #5-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 15936 KB Output is correct
2 Correct 192 ms 412 KB Output is correct
3 Correct 87 ms 408 KB Output is correct
4 Correct 84 ms 416 KB Output is correct
5 Correct 195 ms 404 KB Output is correct
6 Correct 16 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 55 ms 340 KB Output is correct
10 Correct 120 ms 412 KB Output is correct
11 Correct 168 ms 15956 KB Output is correct
12 Correct 190 ms 408 KB Output is correct
13 Correct 83 ms 416 KB Output is correct
14 Correct 84 ms 340 KB Output is correct
15 Correct 202 ms 340 KB Output is correct
16 Correct 16 ms 436 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 420 KB Output is correct
19 Correct 51 ms 416 KB Output is correct
20 Correct 119 ms 340 KB Output is correct
21 Correct 1678 ms 15932 KB Output is correct
22 Correct 1834 ms 15932 KB Output is correct
23 Incorrect 0 ms 212 KB Output isn't correct
24 Halted 0 ms 0 KB -

Subtask #5-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 15828 KB Output is correct
2 Correct 38 ms 15932 KB Output is correct
3 Correct 22 ms 15952 KB Output is correct
4 Correct 195 ms 15928 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1724 ms 16068 KB Output is correct
7 Correct 1976 ms 15928 KB Output is correct
8 Correct 1686 ms 16068 KB Output is correct
9 Correct 1751 ms 16200 KB Output is correct
10 Correct 1701 ms 15928 KB Output is correct
11 Correct 1655 ms 15928 KB Output is correct
12 Correct 24 ms 15956 KB Output is correct
13 Correct 44 ms 15912 KB Output is correct
14 Correct 15 ms 15952 KB Output is correct
15 Correct 171 ms 15828 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1728 ms 16064 KB Output is correct
18 Correct 1825 ms 15976 KB Output is correct
19 Correct 1752 ms 16096 KB Output is correct
20 Correct 1878 ms 16060 KB Output is correct
21 Correct 1621 ms 15928 KB Output is correct
22 Correct 1631 ms 15932 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 3177 ms 16892 KB Output is correct
25 Correct 2869 ms 16444 KB Output is correct
26 Correct 3934 ms 17884 KB Output is correct
27 Correct 3738 ms 17784 KB Output is correct
28 Correct 2664 ms 15932 KB Output is correct
29 Correct 2698 ms 15828 KB Output is correct
30 Correct 161 ms 15936 KB Output is correct
31 Correct 192 ms 412 KB Output is correct
32 Correct 87 ms 408 KB Output is correct
33 Correct 84 ms 416 KB Output is correct
34 Correct 195 ms 404 KB Output is correct
35 Correct 16 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 55 ms 340 KB Output is correct
39 Correct 120 ms 412 KB Output is correct
40 Correct 24 ms 15828 KB Output is correct
41 Correct 38 ms 15932 KB Output is correct
42 Correct 15 ms 15952 KB Output is correct
43 Correct 161 ms 15828 KB Output is correct
44 Correct 193 ms 416 KB Output is correct
45 Correct 83 ms 404 KB Output is correct
46 Correct 81 ms 412 KB Output is correct
47 Correct 204 ms 420 KB Output is correct
48 Correct 17 ms 432 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 54 ms 420 KB Output is correct
52 Correct 115 ms 412 KB Output is correct
53 Incorrect 82 ms 340 KB Output isn't correct
54 Halted 0 ms 0 KB -

Subtask #6-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 15936 KB Output is correct
2 Correct 192 ms 412 KB Output is correct
3 Correct 87 ms 408 KB Output is correct
4 Correct 84 ms 416 KB Output is correct
5 Correct 195 ms 404 KB Output is correct
6 Correct 16 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 55 ms 340 KB Output is correct
10 Correct 120 ms 412 KB Output is correct
11 Correct 168 ms 15956 KB Output is correct
12 Correct 190 ms 408 KB Output is correct
13 Correct 83 ms 416 KB Output is correct
14 Correct 84 ms 340 KB Output is correct
15 Correct 202 ms 340 KB Output is correct
16 Correct 16 ms 436 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 420 KB Output is correct
19 Correct 51 ms 416 KB Output is correct
20 Correct 119 ms 340 KB Output is correct
21 Correct 1678 ms 15932 KB Output is correct
22 Correct 1834 ms 15932 KB Output is correct
23 Incorrect 0 ms 212 KB Output isn't correct
24 Halted 0 ms 0 KB -

Subtask #6-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 15828 KB Output is correct
2 Correct 38 ms 15932 KB Output is correct
3 Correct 22 ms 15952 KB Output is correct
4 Correct 195 ms 15928 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1724 ms 16068 KB Output is correct
7 Correct 1976 ms 15928 KB Output is correct
8 Correct 1686 ms 16068 KB Output is correct
9 Correct 1751 ms 16200 KB Output is correct
10 Correct 1701 ms 15928 KB Output is correct
11 Correct 1655 ms 15928 KB Output is correct
12 Correct 24 ms 15956 KB Output is correct
13 Correct 44 ms 15912 KB Output is correct
14 Correct 15 ms 15952 KB Output is correct
15 Correct 171 ms 15828 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1728 ms 16064 KB Output is correct
18 Correct 1825 ms 15976 KB Output is correct
19 Correct 1752 ms 16096 KB Output is correct
20 Correct 1878 ms 16060 KB Output is correct
21 Correct 1621 ms 15928 KB Output is correct
22 Correct 1631 ms 15932 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 3177 ms 16892 KB Output is correct
25 Correct 2869 ms 16444 KB Output is correct
26 Correct 3934 ms 17884 KB Output is correct
27 Correct 3738 ms 17784 KB Output is correct
28 Correct 2664 ms 15932 KB Output is correct
29 Correct 2698 ms 15828 KB Output is correct
30 Correct 161 ms 15936 KB Output is correct
31 Correct 192 ms 412 KB Output is correct
32 Correct 87 ms 408 KB Output is correct
33 Correct 84 ms 416 KB Output is correct
34 Correct 195 ms 404 KB Output is correct
35 Correct 16 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 55 ms 340 KB Output is correct
39 Correct 120 ms 412 KB Output is correct
40 Correct 24 ms 15828 KB Output is correct
41 Correct 38 ms 15932 KB Output is correct
42 Correct 15 ms 15952 KB Output is correct
43 Correct 161 ms 15828 KB Output is correct
44 Correct 193 ms 416 KB Output is correct
45 Correct 83 ms 404 KB Output is correct
46 Correct 81 ms 412 KB Output is correct
47 Correct 204 ms 420 KB Output is correct
48 Correct 17 ms 432 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 54 ms 420 KB Output is correct
52 Correct 115 ms 412 KB Output is correct
53 Incorrect 82 ms 340 KB Output isn't correct
54 Halted 0 ms 0 KB -