oj.uz

Submission #590216

# Submission time Handle Problem Language Result Execution time Memory
590216 2022-07-05T16:42:45 Z rainboy Uplifting Excursion (BOI22_vault) C
15 / 100
 17 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, subtask3;
	long long s, ans, tmp;

	scanf("%d%lld", &n, &s);
	subtask1 = n <= 50, subtask3 = n <= 30;
	for (a = -n; a <= n; a++) {
		scanf("%lld", &kk[n + a]);
		if (kk[n + a] > 50)
			subtask1 = 0;
		if (a < 0 && kk[n + a] > 0)
			subtask3 = 0;
	}
	if (!subtask1 && !subtask3)
		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: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 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 16 ms 1092 KB Output is correct
6 Correct 16 ms 1112 KB Output is correct
7 Correct 15 ms 1096 KB Output is correct
8 Correct 16 ms 1108 KB Output is correct
9 Correct 16 ms 1108 KB Output is correct
10 Correct 8 ms 1104 KB Output is correct
11 Correct 9 ms 1108 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 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 16 ms 1092 KB Output is correct
6 Correct 16 ms 1112 KB Output is correct
7 Correct 15 ms 1096 KB Output is correct
8 Correct 16 ms 1108 KB Output is correct
9 Correct 16 ms 1108 KB Output is correct
10 Correct 8 ms 1104 KB Output is correct
11 Correct 9 ms 1108 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 212 KB Output is correct
15 Correct 1 ms 288 KB Output is correct
16 Correct 14 ms 1096 KB Output is correct
17 Correct 17 ms 1108 KB Output is correct
18 Correct 14 ms 1108 KB Output is correct
19 Correct 15 ms 1116 KB Output is correct
20 Correct 14 ms 1108 KB Output is correct
21 Correct 8 ms 1108 KB Output is correct
22 Correct 8 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 2 ms 468 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 3 ms 468 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 3 ms 596 KB Output is correct
10 Correct 3 ms 468 KB Output is correct

Subtask #3-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 3 ms 468 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 3 ms 596 KB Output is correct
10 Correct 3 ms 468 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 0 ms 340 KB Output is correct
15 Correct 2 ms 596 KB Output is correct
16 Correct 3 ms 468 KB Output is correct
17 Correct 3 ms 468 KB Output is correct
18 Correct 3 ms 596 KB Output is correct
19 Correct 3 ms 468 KB Output is correct
20 Correct 3 ms 480 KB Output is correct
21 Correct 3 ms 524 KB Output is correct
22 Correct 2 ms 468 KB Output is correct
23 Correct 2 ms 468 KB Output is correct
24 Incorrect 0 ms 212 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 0 ms 340 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 3 ms 468 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 3 ms 596 KB Output is correct
10 Correct 3 ms 468 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 3 ms 468 KB Output is correct
14 Correct 3 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 3 ms 596 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 3 ms 468 KB Output is correct
19 Correct 3 ms 468 KB Output is correct
20 Correct 2 ms 468 KB Output is correct
21 Correct 10 ms 1108 KB Output is correct
22 Correct 8 ms 1108 KB Output is correct
23 Incorrect 1 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 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 16 ms 1092 KB Output is correct
6 Correct 16 ms 1112 KB Output is correct
7 Correct 15 ms 1096 KB Output is correct
8 Correct 16 ms 1108 KB Output is correct
9 Correct 16 ms 1108 KB Output is correct
10 Correct 8 ms 1104 KB Output is correct
11 Correct 9 ms 1108 KB Output is correct
12 Correct 0 ms 340 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 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 3 ms 596 KB Output is correct
21 Correct 3 ms 468 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 0 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 596 KB Output is correct
27 Correct 3 ms 468 KB Output is correct
28 Correct 3 ms 468 KB Output is correct
29 Correct 3 ms 596 KB Output is correct
30 Correct 3 ms 468 KB Output is correct
31 Correct 3 ms 480 KB Output is correct
32 Correct 3 ms 524 KB Output is correct
33 Correct 2 ms 468 KB Output is correct
34 Correct 2 ms 468 KB Output is correct
35 Incorrect 0 ms 212 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 0 ms 340 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 3 ms 468 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 3 ms 596 KB Output is correct
10 Correct 3 ms 468 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 3 ms 468 KB Output is correct
14 Correct 3 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 3 ms 596 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 3 ms 468 KB Output is correct
19 Correct 3 ms 468 KB Output is correct
20 Correct 2 ms 468 KB Output is correct
21 Correct 10 ms 1108 KB Output is correct
22 Correct 8 ms 1108 KB Output is correct
23 Incorrect 1 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 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 16 ms 1092 KB Output is correct
6 Correct 16 ms 1112 KB Output is correct
7 Correct 15 ms 1096 KB Output is correct
8 Correct 16 ms 1108 KB Output is correct
9 Correct 16 ms 1108 KB Output is correct
10 Correct 8 ms 1104 KB Output is correct
11 Correct 9 ms 1108 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 212 KB Output is correct
15 Correct 1 ms 288 KB Output is correct
16 Correct 14 ms 1096 KB Output is correct
17 Correct 17 ms 1108 KB Output is correct
18 Correct 14 ms 1108 KB Output is correct
19 Correct 15 ms 1116 KB Output is correct
20 Correct 14 ms 1108 KB Output is correct
21 Correct 8 ms 1108 KB Output is correct
22 Correct 8 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 2 ms 468 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 3 ms 468 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 3 ms 596 KB Output is correct
10 Correct 3 ms 468 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 3 ms 468 KB Output is correct
14 Correct 3 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 3 ms 596 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 3 ms 468 KB Output is correct
19 Correct 3 ms 468 KB Output is correct
20 Correct 2 ms 468 KB Output is correct
21 Correct 10 ms 1108 KB Output is correct
22 Correct 8 ms 1108 KB Output is correct
23 Incorrect 1 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 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 16 ms 1092 KB Output is correct
6 Correct 16 ms 1112 KB Output is correct
7 Correct 15 ms 1096 KB Output is correct
8 Correct 16 ms 1108 KB Output is correct
9 Correct 16 ms 1108 KB Output is correct
10 Correct 8 ms 1104 KB Output is correct
11 Correct 9 ms 1108 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 212 KB Output is correct
15 Correct 1 ms 288 KB Output is correct
16 Correct 14 ms 1096 KB Output is correct
17 Correct 17 ms 1108 KB Output is correct
18 Correct 14 ms 1108 KB Output is correct
19 Correct 15 ms 1116 KB Output is correct
20 Correct 14 ms 1108 KB Output is correct
21 Correct 8 ms 1108 KB Output is correct
22 Correct 8 ms 1108 KB Output is correct
23 Incorrect 0 ms 212 KB Output isn't correct
24 Halted 0 ms 0 KB -