oj.uz

Submission #590231

# Submission time Handle Problem Language Result Execution time Memory
590231 2022-07-05T16:48:43 Z rainboy Uplifting Excursion (BOI22_vault) C
45 / 100
 16 ms 1116 KB 
#include <stdio.h>
#include <string.h>

#define N	300
#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[N * N * 2 + 1], qu[N * N * 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[N * N * 2 + 1], dq[N + 1][N * N + 1], dr[N * N + 1], qu[N * N + 1];
	int a, r1, r2, head, cnt, lower, upper;
	long long s, s0, s2, k0, ans;
	int s1;

	for (s = 0; s <= n * n; s++)
		dp[s] = -INF;
	dp[0] = 0;
	for (a = n; a >= 0; a--) {
		memcpy(dq[a], dp, (n * n + 1) * sizeof *dp);
		update(dp, n * n, a, min(kk[n + a], n), 1);
	}
	for (s = 0; s <= n * n * 2; s++)
		dp[s] = -INF;
	dp[n * n + 0] = 0;
	s0 = 0, k0 = 0;
	for (a = -n; a < 0; a++) {
		update(dp, n * n * 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++) {
		if (a == 0) {
			for (s1 = 0; s1 <= n * n * 2; s1++) {
				s2 = s_ - s0 + s1 - n * n;
				if (dp[s1] != -INF && s2 >= 0 && s2 <= n * n && dq[a][s2] != -INF)
					ans = max(ans, k0 + dp[s1] + dq[a][s2] + kk[n + a]);
			}
		} else
			for (r1 = 0; r1 < a; r1++) {
				r2 = ((s_ - s0 - n * n + r1) % a + a) % a;
				head = cnt = 0;
				for (s1 = r1, lower = r2, upper = r2; s1 <= n * n * 2; s1 += a)
					if (dp[s1] != -INF) {
						while (lower <= n * n && s0 - s1 + n * n + lower < s_ - kk[n + a] * a) {
							if (cnt && qu[head] == lower)
								head++, cnt--;
							lower += a;
						}
						while (upper <= n * n && s0 - s1 + n * n + upper <= s_) {
							dr[upper] = dq[a][upper] == -INF ? -INF : dq[a][upper] - upper / a;
							if (dr[upper] != -INF && lower <= upper) {
								while (cnt && dr[qu[head + cnt - 1]] <= dr[upper])
									cnt--;
								qu[head + cnt++] = upper;
							}
							upper += a;
						}
						if (cnt)
							ans = max(ans, k0 + dp[s1] + (s_ - s0 + s1 - n * n) / a + dr[qu[head]]);
					}
			}
		update(dp, n * n * 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, subtask1, subtask2, subtask4;
	long long s, ans, tmp;

	scanf("%d%lld", &n, &s);
	subtask1 = n <= 50, subtask2 = n <= 100, subtask4 = n <= 50;
	for (a = -n; a <= n; a++) {
		scanf("%lld", &kk[n + a]);
		if (kk[n + a] > 50)
			subtask1 = 0;
		if (kk[n + a] > 100)
			subtask2 = 0;
	}
	if (!subtask4)
		return 0;
	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:117:25: warning: variable 'subtask2' set but not used [-Wunused-but-set-variable]
  117 |  int n, a, r, subtask1, subtask2, subtask4;
      |                         ^~~~~~~~
vault.c:117:15: warning: variable 'subtask1' set but not used [-Wunused-but-set-variable]
  117 |  int n, a, r, subtask1, subtask2, subtask4;
      |               ^~~~~~~~
vault.c:120:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  120 |  scanf("%d%lld", &n, &s);
      |  ^~~~~~~~~~~~~~~~~~~~~~~
vault.c:123:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  123 |   scanf("%lld", &kk[n + a]);
      |   ^~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 14 ms 1096 KB Output is correct
6 Correct 14 ms 1108 KB Output is correct
7 Correct 14 ms 1104 KB Output is correct
8 Correct 14 ms 1116 KB Output is correct
9 Correct 16 ms 1116 KB Output is correct
10 Correct 6 ms 1108 KB Output is correct
11 Correct 8 ms 1096 KB Output is correct

Subtask #2
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 14 ms 1096 KB Output is correct
6 Correct 14 ms 1108 KB Output is correct
7 Correct 14 ms 1104 KB Output is correct
8 Correct 14 ms 1116 KB Output is correct
9 Correct 16 ms 1116 KB Output is correct
10 Correct 6 ms 1108 KB Output is correct
11 Correct 8 ms 1096 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 15 ms 1096 KB Output is correct
17 Correct 16 ms 1108 KB Output is correct
18 Correct 13 ms 1108 KB Output is correct
19 Correct 14 ms 1108 KB Output is correct
20 Correct 14 ms 1108 KB Output is correct
21 Correct 6 ms 1108 KB Output is correct
22 Correct 7 ms 1108 KB Output is correct
23 Incorrect 0 ms 212 KB Output isn't correct
24 Halted 0 ms 0 KB -

Subtask #3-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 3 ms 468 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 3 ms 596 KB Output is correct
5 Correct 3 ms 596 KB Output is correct
6 Correct 2 ms 596 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 596 KB Output is correct
9 Correct 3 ms 468 KB Output is correct
10 Correct 2 ms 596 KB Output is correct

Subtask #3-2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 3 ms 468 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 3 ms 596 KB Output is correct
5 Correct 3 ms 596 KB Output is correct
6 Correct 2 ms 596 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 596 KB Output is correct
9 Correct 3 ms 468 KB Output is correct
10 Correct 2 ms 596 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 2 ms 468 KB Output is correct
19 Correct 2 ms 468 KB Output is correct
20 Correct 2 ms 468 KB Output is correct
21 Correct 2 ms 468 KB Output is correct
22 Correct 2 ms 596 KB Output is correct
23 Correct 2 ms 596 KB Output is correct
24 Correct 4 ms 468 KB Output is correct
25 Correct 3 ms 468 KB Output is correct
26 Correct 4 ms 468 KB Output is correct
27 Correct 4 ms 468 KB Output is correct
28 Correct 4 ms 468 KB Output is correct

Subtask #4-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 3 ms 468 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 3 ms 596 KB Output is correct
5 Correct 3 ms 596 KB Output is correct
6 Correct 2 ms 596 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 596 KB Output is correct
9 Correct 3 ms 468 KB Output is correct
10 Correct 2 ms 596 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 3 ms 592 KB Output is correct
16 Correct 2 ms 588 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 2 ms 596 KB Output is correct
19 Correct 2 ms 468 KB Output is correct
20 Correct 2 ms 468 KB Output is correct
21 Correct 6 ms 1108 KB Output is correct
22 Correct 7 ms 1108 KB Output is correct
23 Correct 11 ms 1108 KB Output is correct
24 Correct 9 ms 1112 KB Output is correct
25 Correct 10 ms 1036 KB Output is correct
26 Correct 9 ms 1108 KB Output is correct
27 Correct 9 ms 1108 KB Output is correct
28 Correct 9 ms 1108 KB Output is correct

Subtask #4-2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 14 ms 1096 KB Output is correct
6 Correct 14 ms 1108 KB Output is correct
7 Correct 14 ms 1104 KB Output is correct
8 Correct 14 ms 1116 KB Output is correct
9 Correct 16 ms 1116 KB Output is correct
10 Correct 6 ms 1108 KB Output is correct
11 Correct 8 ms 1096 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 3 ms 468 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 3 ms 596 KB Output is correct
16 Correct 3 ms 596 KB Output is correct
17 Correct 2 ms 596 KB Output is correct
18 Correct 2 ms 468 KB Output is correct
19 Correct 2 ms 596 KB Output is correct
20 Correct 3 ms 468 KB Output is correct
21 Correct 2 ms 596 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 340 KB Output is correct
26 Correct 2 ms 468 KB Output is correct
27 Correct 2 ms 468 KB Output is correct
28 Correct 2 ms 468 KB Output is correct
29 Correct 2 ms 468 KB Output is correct
30 Correct 2 ms 468 KB Output is correct
31 Correct 2 ms 468 KB Output is correct
32 Correct 2 ms 468 KB Output is correct
33 Correct 2 ms 596 KB Output is correct
34 Correct 2 ms 596 KB Output is correct
35 Correct 4 ms 468 KB Output is correct
36 Correct 3 ms 468 KB Output is correct
37 Correct 4 ms 468 KB Output is correct
38 Correct 4 ms 468 KB Output is correct
39 Correct 4 ms 468 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 2 ms 468 KB Output is correct
42 Correct 2 ms 468 KB Output is correct
43 Correct 2 ms 468 KB Output is correct
44 Correct 3 ms 592 KB Output is correct
45 Correct 2 ms 588 KB Output is correct
46 Correct 2 ms 468 KB Output is correct
47 Correct 2 ms 596 KB Output is correct
48 Correct 2 ms 468 KB Output is correct
49 Correct 2 ms 468 KB Output is correct
50 Correct 6 ms 1108 KB Output is correct
51 Correct 7 ms 1108 KB Output is correct
52 Correct 11 ms 1108 KB Output is correct
53 Correct 9 ms 1112 KB Output is correct
54 Correct 10 ms 1036 KB Output is correct
55 Correct 9 ms 1108 KB Output is correct
56 Correct 9 ms 1108 KB Output is correct
57 Correct 9 ms 1108 KB Output is correct
58 Correct 0 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 0 ms 340 KB Output is correct
62 Correct 15 ms 1096 KB Output is correct
63 Correct 16 ms 1108 KB Output is correct
64 Correct 14 ms 1108 KB Output is correct
65 Correct 14 ms 1108 KB Output is correct
66 Correct 16 ms 1108 KB Output is correct
67 Correct 7 ms 1108 KB Output is correct
68 Correct 7 ms 1108 KB Output is correct
69 Correct 3 ms 596 KB Output is correct
70 Correct 2 ms 596 KB Output is correct
71 Correct 2 ms 468 KB Output is correct
72 Correct 2 ms 596 KB Output is correct
73 Correct 2 ms 468 KB Output is correct
74 Correct 2 ms 468 KB Output is correct
75 Correct 2 ms 468 KB Output is correct
76 Correct 2 ms 596 KB Output is correct
77 Correct 2 ms 468 KB Output is correct
78 Correct 3 ms 468 KB Output is correct
79 Correct 4 ms 468 KB Output is correct
80 Correct 3 ms 468 KB Output is correct
81 Correct 4 ms 468 KB Output is correct
82 Correct 3 ms 468 KB Output is correct
83 Correct 10 ms 1112 KB Output is correct
84 Correct 10 ms 1112 KB Output is correct
85 Correct 10 ms 1108 KB Output is correct
86 Correct 10 ms 1108 KB Output is correct
87 Correct 9 ms 1108 KB Output is correct
88 Correct 10 ms 1100 KB Output is correct
89 Correct 16 ms 1108 KB Output is correct
90 Correct 14 ms 1104 KB Output is correct
91 Correct 14 ms 1112 KB Output is correct
92 Correct 15 ms 1068 KB Output is correct

Subtask #5-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 3 ms 468 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 3 ms 596 KB Output is correct
5 Correct 3 ms 596 KB Output is correct
6 Correct 2 ms 596 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 596 KB Output is correct
9 Correct 3 ms 468 KB Output is correct
10 Correct 2 ms 596 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 3 ms 592 KB Output is correct
16 Correct 2 ms 588 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 2 ms 596 KB Output is correct
19 Correct 2 ms 468 KB Output is correct
20 Correct 2 ms 468 KB Output is correct
21 Correct 6 ms 1108 KB Output is correct
22 Correct 7 ms 1108 KB Output is correct
23 Correct 11 ms 1108 KB Output is correct
24 Correct 9 ms 1112 KB Output is correct
25 Correct 10 ms 1036 KB Output is correct
26 Correct 9 ms 1108 KB Output is correct
27 Correct 9 ms 1108 KB Output is correct
28 Correct 9 ms 1108 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 3 ms 468 KB Output is correct
31 Correct 2 ms 468 KB Output is correct
32 Correct 3 ms 468 KB Output is correct
33 Correct 3 ms 468 KB Output is correct
34 Correct 3 ms 468 KB Output is correct
35 Correct 2 ms 468 KB Output is correct
36 Correct 2 ms 596 KB Output is correct
37 Correct 2 ms 468 KB Output is correct
38 Correct 2 ms 584 KB Output is correct
39 Correct 6 ms 1108 KB Output is correct
40 Correct 7 ms 1108 KB Output is correct
41 Correct 10 ms 1108 KB Output is correct
42 Correct 9 ms 1108 KB Output is correct
43 Correct 9 ms 1100 KB Output is correct
44 Correct 10 ms 1108 KB Output is correct
45 Correct 9 ms 1108 KB Output is correct
46 Correct 10 ms 1108 KB Output is correct
47 Incorrect 0 ms 212 KB Output isn't correct
48 Halted 0 ms 0 KB -

Subtask #5-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 14 ms 1096 KB Output is correct
6 Correct 14 ms 1108 KB Output is correct
7 Correct 14 ms 1104 KB Output is correct
8 Correct 14 ms 1116 KB Output is correct
9 Correct 16 ms 1116 KB Output is correct
10 Correct 6 ms 1108 KB Output is correct
11 Correct 8 ms 1096 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 15 ms 1096 KB Output is correct
17 Correct 16 ms 1108 KB Output is correct
18 Correct 13 ms 1108 KB Output is correct
19 Correct 14 ms 1108 KB Output is correct
20 Correct 14 ms 1108 KB Output is correct
21 Correct 6 ms 1108 KB Output is correct
22 Correct 7 ms 1108 KB Output is correct
23 Incorrect 0 ms 212 KB Output isn't correct
24 Halted 0 ms 0 KB -

Subtask #6-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 3 ms 468 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 3 ms 596 KB Output is correct
5 Correct 3 ms 596 KB Output is correct
6 Correct 2 ms 596 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 596 KB Output is correct
9 Correct 3 ms 468 KB Output is correct
10 Correct 2 ms 596 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 3 ms 592 KB Output is correct
16 Correct 2 ms 588 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 2 ms 596 KB Output is correct
19 Correct 2 ms 468 KB Output is correct
20 Correct 2 ms 468 KB Output is correct
21 Correct 6 ms 1108 KB Output is correct
22 Correct 7 ms 1108 KB Output is correct
23 Correct 11 ms 1108 KB Output is correct
24 Correct 9 ms 1112 KB Output is correct
25 Correct 10 ms 1036 KB Output is correct
26 Correct 9 ms 1108 KB Output is correct
27 Correct 9 ms 1108 KB Output is correct
28 Correct 9 ms 1108 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 3 ms 468 KB Output is correct
31 Correct 2 ms 468 KB Output is correct
32 Correct 3 ms 468 KB Output is correct
33 Correct 3 ms 468 KB Output is correct
34 Correct 3 ms 468 KB Output is correct
35 Correct 2 ms 468 KB Output is correct
36 Correct 2 ms 596 KB Output is correct
37 Correct 2 ms 468 KB Output is correct
38 Correct 2 ms 584 KB Output is correct
39 Correct 6 ms 1108 KB Output is correct
40 Correct 7 ms 1108 KB Output is correct
41 Correct 10 ms 1108 KB Output is correct
42 Correct 9 ms 1108 KB Output is correct
43 Correct 9 ms 1100 KB Output is correct
44 Correct 10 ms 1108 KB Output is correct
45 Correct 9 ms 1108 KB Output is correct
46 Correct 10 ms 1108 KB Output is correct
47 Incorrect 0 ms 212 KB Output isn't correct
48 Halted 0 ms 0 KB -

Subtask #6-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 14 ms 1096 KB Output is correct
6 Correct 14 ms 1108 KB Output is correct
7 Correct 14 ms 1104 KB Output is correct
8 Correct 14 ms 1116 KB Output is correct
9 Correct 16 ms 1116 KB Output is correct
10 Correct 6 ms 1108 KB Output is correct
11 Correct 8 ms 1096 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 15 ms 1096 KB Output is correct
17 Correct 16 ms 1108 KB Output is correct
18 Correct 13 ms 1108 KB Output is correct
19 Correct 14 ms 1108 KB Output is correct
20 Correct 14 ms 1108 KB Output is correct
21 Correct 6 ms 1108 KB Output is correct
22 Correct 7 ms 1108 KB Output is correct
23 Incorrect 0 ms 212 KB Output isn't correct
24 Halted 0 ms 0 KB -