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Submission #336931

# Submission time Handle Problem Language Result Execution time Memory
336931 2020-12-17T11:30:54 Z Drew_ Bali Sculptures (APIO15_sculpture) C++14
100 / 100
 246 ms 1192 KB 
#include <bits/stdc++.h>
using namespace std;

#pragma GCC target ("avx2")
#pragma GCC optimize ("O3")
#pragma GCC optimize ("unroll-loops")


#define ll long long

int const N = 2007;
ll const inf = (1LL << 60) - 1;

int n, a, b;
ll ar[N];
ll pfx[N];

class solutionA1
{
public:

	ll dp[N]; //[idx] = {minimum group}
	bool check(ll val)
	{
		fill(dp, dp+N, inf);
		dp[0] = 0;

		for (int i = 1; i <= n; ++i)
		{
			for (int j = i-1; j >= 0; --j)
			{
				ll sum = pfx[i] - pfx[j];
				if ((sum | val) == val)
					dp[i] = min(dp[i], 1 + dp[j]);
			}
		}

		return dp[n] <= b;
	}

	void solve()
	{
		ll ans = inf;
		for (int i = 59; i >= 0; --i)
		{
			if (check(ans ^ (1LL << i)))
				ans ^= (1LL << i);
		}
		cout << ans << '\n';
	}
};

class solutionGeneral
{
public:

	//bool dp[N][N]; //[idx][group] = {bool}
	//unable to use array for some reason
	bool check(ll val)
	{
		vector<vector<bool>> dp(N, vector<bool> (N, false));

		dp[0][0] = true;
		for (int i = 1; i <= n; ++i) //idx
		{
			for (int j = 1; j <= n; ++j) //group
			{
				for (int k = i-1; k >= 0; --k)
				{
					ll sum = pfx[i] - pfx[k];
					if ((sum | val) == val)
						dp[i][j] = (dp[i][j] || dp[k][j-1]);
				}
			}
		}

		for (int i = a; i <= b; ++i)
			if (dp[n][i])
				return true;

		return false;
	}
	
	void solve()
	{
		ll ans = inf;
		for (int i = 59; i >= 0; --i)
		{
			if (check(ans ^ (1LL << i)))
				ans ^= (1LL << i);
		}
		cout << ans << '\n';
	}
};

int main()
{
	ios :: sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);

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

	for (int i = 1; i <= n; ++i)
		pfx[i] = ar[i] + pfx[i-1];


	if (a == 1)
	{
		solutionA1 obj;
		obj.solve();
	}
	else
	{
		solutionGeneral obj;
		obj.solve();
	}

	return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 28 ms 1096 KB Output is correct
15 Correct 27 ms 1016 KB Output is correct
16 Correct 27 ms 1016 KB Output is correct
17 Correct 27 ms 1016 KB Output is correct
18 Correct 27 ms 1016 KB Output is correct
19 Correct 27 ms 1016 KB Output is correct
20 Correct 28 ms 1040 KB Output is correct
21 Correct 28 ms 1032 KB Output is correct
22 Correct 33 ms 1016 KB Output is correct
23 Correct 28 ms 1016 KB Output is correct
24 Correct 28 ms 1016 KB Output is correct
25 Correct 28 ms 1016 KB Output is correct
26 Correct 28 ms 1016 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 492 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 384 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 364 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 26 ms 1016 KB Output is correct
15 Correct 27 ms 1016 KB Output is correct
16 Correct 27 ms 1036 KB Output is correct
17 Correct 27 ms 1040 KB Output is correct
18 Correct 27 ms 1016 KB Output is correct
19 Correct 27 ms 1016 KB Output is correct
20 Correct 27 ms 1016 KB Output is correct
21 Correct 28 ms 1016 KB Output is correct
22 Correct 28 ms 1016 KB Output is correct
23 Correct 28 ms 1016 KB Output is correct
24 Correct 28 ms 1016 KB Output is correct
25 Correct 28 ms 1016 KB Output is correct
26 Correct 28 ms 1016 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 384 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 492 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 2 ms 364 KB Output is correct
28 Correct 2 ms 364 KB Output is correct
29 Correct 2 ms 364 KB Output is correct
30 Correct 2 ms 364 KB Output is correct
31 Correct 2 ms 364 KB Output is correct
32 Correct 2 ms 364 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 27 ms 1016 KB Output is correct
15 Correct 27 ms 1016 KB Output is correct
16 Correct 26 ms 1040 KB Output is correct
17 Correct 28 ms 1016 KB Output is correct
18 Correct 27 ms 1016 KB Output is correct
19 Correct 27 ms 1016 KB Output is correct
20 Correct 27 ms 1016 KB Output is correct
21 Correct 28 ms 1016 KB Output is correct
22 Correct 28 ms 1016 KB Output is correct
23 Correct 28 ms 1028 KB Output is correct
24 Correct 28 ms 1028 KB Output is correct
25 Correct 28 ms 1016 KB Output is correct
26 Correct 28 ms 1016 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 364 KB Output is correct
37 Correct 1 ms 364 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 1 ms 364 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 1 ms 364 KB Output is correct
42 Correct 1 ms 364 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 1 ms 364 KB Output is correct
45 Correct 1 ms 364 KB Output is correct
46 Correct 1 ms 364 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 1 ms 364 KB Output is correct
49 Correct 1 ms 364 KB Output is correct
50 Correct 2 ms 364 KB Output is correct
51 Correct 2 ms 364 KB Output is correct
52 Correct 2 ms 364 KB Output is correct
53 Correct 2 ms 364 KB Output is correct
54 Correct 2 ms 384 KB Output is correct
55 Correct 2 ms 364 KB Output is correct
56 Correct 1 ms 364 KB Output is correct
57 Correct 1 ms 364 KB Output is correct
58 Correct 1 ms 364 KB Output is correct
59 Correct 1 ms 364 KB Output is correct
60 Correct 1 ms 364 KB Output is correct
61 Correct 1 ms 364 KB Output is correct
62 Correct 1 ms 364 KB Output is correct
63 Correct 1 ms 364 KB Output is correct
64 Correct 143 ms 1016 KB Output is correct
65 Correct 39 ms 1016 KB Output is correct
66 Correct 52 ms 1016 KB Output is correct
67 Correct 68 ms 1016 KB Output is correct
68 Correct 92 ms 1016 KB Output is correct
69 Correct 113 ms 1104 KB Output is correct
70 Correct 112 ms 1144 KB Output is correct
71 Correct 114 ms 1016 KB Output is correct
72 Correct 124 ms 1016 KB Output is correct
73 Correct 125 ms 1192 KB Output is correct
74 Correct 123 ms 1016 KB Output is correct

Subtask #5
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 364 KB Output is correct
37 Correct 2 ms 364 KB Output is correct
38 Correct 2 ms 364 KB Output is correct
39 Correct 2 ms 364 KB Output is correct
40 Correct 2 ms 364 KB Output is correct
41 Correct 2 ms 364 KB Output is correct
42 Correct 2 ms 364 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 1 ms 364 KB Output is correct
45 Correct 1 ms 364 KB Output is correct
46 Correct 1 ms 364 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 1 ms 364 KB Output is correct
49 Correct 1 ms 364 KB Output is correct
50 Correct 2 ms 364 KB Output is correct
51 Correct 1 ms 364 KB Output is correct
52 Correct 22 ms 364 KB Output is correct
53 Correct 36 ms 364 KB Output is correct
54 Correct 64 ms 364 KB Output is correct
55 Correct 63 ms 364 KB Output is correct
56 Correct 242 ms 364 KB Output is correct
57 Correct 240 ms 364 KB Output is correct
58 Correct 234 ms 460 KB Output is correct
59 Correct 235 ms 492 KB Output is correct
60 Correct 246 ms 364 KB Output is correct
61 Correct 1 ms 364 KB Output is correct
62 Correct 36 ms 364 KB Output is correct
63 Correct 67 ms 524 KB Output is correct
64 Correct 62 ms 364 KB Output is correct
65 Correct 122 ms 364 KB Output is correct
66 Correct 183 ms 364 KB Output is correct
67 Correct 241 ms 612 KB Output is correct
68 Correct 242 ms 364 KB Output is correct
69 Correct 238 ms 512 KB Output is correct