Submission #918330

# Submission time Handle Problem Language Result Execution time Memory
918330 2024-01-29T16:31:32 Z vjudge1 Bali Sculptures (APIO15_sculpture) C++17
100 / 100
95 ms 4008 KB
#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// using namespace __gnu_pbds;
using namespace std;
//-----------------------
// #define   ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
#define            ll long long
#define           ull unsigned long long
#define            pb push_back
#define            pf push_front
#define            mp make_pair
#define      mem(f,x) memset(f, x, sizeof(f))
#define   __lcm(a, b) (1ll * a * b) / __gcd(a, b)
#define  bit(mask, i) ((mask >> i) & 1)
#define           pii pair<int, int>
#define           pll pair<ll, ll>
#define            el '\n'
#define             F first
#define             S second
#define         io(x) freopen(x".inp","r",stdin),freopen(x".out","w",stdout)
//-----------------------
const ll INF = 1e18;
const int MOD = 1e9 + 7;
const int MULTI = 0;
const int dx[4] = {0, 0, 1, -1}; //R L D U
const int dy[4] = {1, -1, 0, 0};
//-----AUTHOR trvhung VNG High School for Gifted Student-----

const int LOG = 40;
const int maxn = 2e3 + 5;
int n, A, B, a[maxn];

bool ok(ll mask, ll prev, ll pos) {
	ll temp = (mask >> pos << pos) | prev;
	return temp == prev;
}

namespace onetwo {
	ll dp[maxn][maxn], pref[maxn], sum;
	map<ll, set<ll> > v[maxn];

	bool check() {
		return n <= 50;
	}

	void solve() {
		for (int i = 1; i <= n; ++i)
			pref[i] = pref[i - 1] + a[i];

		sum = 0;
		for (int i = 1; i <= n; ++i) {
			sum += a[i];
			dp[i][1] = sum;
			v[i][1].insert(dp[i][1]);
		}

		for (int i = 1; i <= n; ++i)
			for (int j = 1; j <= min(i, B); ++j) {
				if (j == 1) continue;
				dp[i][j] = INF; sum = a[i];
				for (int k = i - 1; k >= j - 1; --k) {
					for (auto x: v[k][j - 1]) { 
						dp[i][j] = min(dp[i][j], x | sum);
						v[i][j].insert(x | sum);
					}
					sum += a[k];
				}
			}

		ll res = INF;
 		for (int i = A; i <= B; ++i)
 			res = min(res, dp[n][i]);

 		cout << res;
 	}
}

namespace threefour {
	bool check() {
		return n <= 100;
	}

	const int maxn = 1e2 + 5;
	bool dp[maxn][maxn]; ll prev = 0;

	void solve() {
		for (int j = LOG; j >= 0; --j) {
			mem(dp, false); dp[0][0] = true;

			for (int i = 1; i <= n; ++i)
				for (int k = 1; k <= i; ++k) {
					ll sum = 0;
					for (int z = i; z >= 1; --z) {
						sum += a[z];
						if (ok(sum, prev, j))
							dp[i][k] |= dp[z - 1][k - 1];
					}
				}

			bool check = false;
			for (int i = A; i <= B; ++i)
				if (dp[n][i])
					check = true;

			if (!check) prev += (1ll << j);
		}

		cout << prev;
	}
}

namespace five {
	ll prev = 0, dp[maxn];

	void solve() {
		for (int j = LOG; j >= 0; --j) {
			for (int i1 = 1; i1 <= n; ++i1)
				dp[i1] = INF;
			dp[0] = 0;

			for (int i = 1; i <= n; ++i) {
				ll sum = 0;
				for (int z = i; z >= 1; --z) {
					sum += a[z];
					if (ok(sum, prev, j))
						dp[i] = min(dp[i], dp[z - 1] + 1);
				}
			}

			if (dp[n] > B) prev += (1ll << j);
		}

		cout << prev;
	}
}

signed main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);

    cin >> n >> A >> B;
	for (int i = 1; i <= n; ++i)
		cin >> a[i];

	if (onetwo::check()) return onetwo::solve(), 0;
	if (threefour::check()) return threefour::solve(), 0;
	five::solve();
    
    return 0;
}

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2632 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2648 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 1 ms 2392 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2392 KB Output is correct
21 Correct 1 ms 2648 KB Output is correct
22 Correct 1 ms 2648 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2648 KB Output is correct
26 Correct 1 ms 2652 KB Output is correct
27 Correct 1 ms 2648 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2652 KB Output is correct
30 Correct 1 ms 2648 KB Output is correct
31 Correct 1 ms 2648 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2652 KB Output is correct
34 Correct 1 ms 2648 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 1 ms 2652 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2392 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2648 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2652 KB Output is correct
26 Correct 1 ms 2652 KB Output is correct
27 Correct 1 ms 2652 KB Output is correct
28 Correct 2 ms 2652 KB Output is correct
29 Correct 2 ms 2652 KB Output is correct
30 Correct 7 ms 3104 KB Output is correct
31 Correct 16 ms 4008 KB Output is correct
32 Correct 8 ms 3164 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 11 ms 3492 KB Output is correct
35 Correct 10 ms 3420 KB Output is correct
36 Correct 8 ms 3124 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 2 ms 2648 KB Output is correct
16 Correct 2 ms 2652 KB Output is correct
17 Correct 6 ms 3164 KB Output is correct
18 Correct 17 ms 3716 KB Output is correct
19 Correct 9 ms 3160 KB Output is correct
20 Correct 1 ms 2392 KB Output is correct
21 Correct 11 ms 3420 KB Output is correct
22 Correct 10 ms 3420 KB Output is correct
23 Correct 9 ms 3164 KB Output is correct
24 Correct 4 ms 348 KB Output is correct
25 Correct 7 ms 348 KB Output is correct
26 Correct 14 ms 576 KB Output is correct
27 Correct 19 ms 344 KB Output is correct
28 Correct 25 ms 348 KB Output is correct
29 Correct 24 ms 348 KB Output is correct
30 Correct 25 ms 344 KB Output is correct
31 Correct 27 ms 344 KB Output is correct
32 Correct 25 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2648 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2652 KB Output is correct
26 Correct 1 ms 2800 KB Output is correct
27 Correct 1 ms 2648 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2652 KB Output is correct
30 Correct 1 ms 2652 KB Output is correct
31 Correct 1 ms 2652 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2652 KB Output is correct
34 Correct 1 ms 2652 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 1 ms 2652 KB Output is correct
37 Correct 1 ms 2648 KB Output is correct
38 Correct 2 ms 2652 KB Output is correct
39 Correct 2 ms 2652 KB Output is correct
40 Correct 7 ms 3164 KB Output is correct
41 Correct 16 ms 3776 KB Output is correct
42 Correct 8 ms 3164 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 13 ms 3676 KB Output is correct
45 Correct 10 ms 3416 KB Output is correct
46 Correct 8 ms 3164 KB Output is correct
47 Correct 3 ms 348 KB Output is correct
48 Correct 7 ms 348 KB Output is correct
49 Correct 12 ms 348 KB Output is correct
50 Correct 19 ms 580 KB Output is correct
51 Correct 25 ms 344 KB Output is correct
52 Correct 24 ms 344 KB Output is correct
53 Correct 27 ms 604 KB Output is correct
54 Correct 24 ms 344 KB Output is correct
55 Correct 25 ms 348 KB Output is correct
56 Correct 3 ms 348 KB Output is correct
57 Correct 8 ms 576 KB Output is correct
58 Correct 13 ms 576 KB Output is correct
59 Correct 16 ms 344 KB Output is correct
60 Correct 17 ms 576 KB Output is correct
61 Correct 16 ms 348 KB Output is correct
62 Correct 17 ms 580 KB Output is correct
63 Correct 17 ms 344 KB Output is correct
64 Correct 19 ms 344 KB Output is correct
65 Correct 3 ms 348 KB Output is correct
66 Correct 5 ms 348 KB Output is correct
67 Correct 8 ms 348 KB Output is correct
68 Correct 12 ms 344 KB Output is correct
69 Correct 16 ms 348 KB Output is correct
70 Correct 15 ms 344 KB Output is correct
71 Correct 16 ms 344 KB Output is correct
72 Correct 18 ms 344 KB Output is correct
73 Correct 19 ms 348 KB Output is correct
74 Correct 17 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 2652 KB Output is correct
25 Correct 1 ms 2652 KB Output is correct
26 Correct 2 ms 2904 KB Output is correct
27 Correct 7 ms 3164 KB Output is correct
28 Correct 16 ms 3676 KB Output is correct
29 Correct 8 ms 3296 KB Output is correct
30 Correct 1 ms 2392 KB Output is correct
31 Correct 13 ms 3420 KB Output is correct
32 Correct 11 ms 3272 KB Output is correct
33 Correct 9 ms 3160 KB Output is correct
34 Correct 3 ms 348 KB Output is correct
35 Correct 7 ms 348 KB Output is correct
36 Correct 12 ms 348 KB Output is correct
37 Correct 19 ms 600 KB Output is correct
38 Correct 25 ms 348 KB Output is correct
39 Correct 24 ms 348 KB Output is correct
40 Correct 25 ms 348 KB Output is correct
41 Correct 25 ms 348 KB Output is correct
42 Correct 25 ms 348 KB Output is correct
43 Correct 3 ms 344 KB Output is correct
44 Correct 8 ms 348 KB Output is correct
45 Correct 12 ms 572 KB Output is correct
46 Correct 16 ms 344 KB Output is correct
47 Correct 15 ms 348 KB Output is correct
48 Correct 17 ms 344 KB Output is correct
49 Correct 17 ms 348 KB Output is correct
50 Correct 17 ms 344 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 9 ms 348 KB Output is correct
53 Correct 14 ms 584 KB Output is correct
54 Correct 26 ms 348 KB Output is correct
55 Correct 32 ms 592 KB Output is correct
56 Correct 87 ms 348 KB Output is correct
57 Correct 89 ms 344 KB Output is correct
58 Correct 84 ms 348 KB Output is correct
59 Correct 88 ms 604 KB Output is correct
60 Correct 84 ms 604 KB Output is correct
61 Correct 1 ms 344 KB Output is correct
62 Correct 12 ms 348 KB Output is correct
63 Correct 26 ms 348 KB Output is correct
64 Correct 24 ms 604 KB Output is correct
65 Correct 45 ms 348 KB Output is correct
66 Correct 65 ms 604 KB Output is correct
67 Correct 82 ms 604 KB Output is correct
68 Correct 95 ms 580 KB Output is correct
69 Correct 90 ms 600 KB Output is correct