Submission #591456

# Submission time Handle Problem Language Result Execution time Memory
591456 2022-07-07T12:45:04 Z tutis Boarding Passes (BOI22_passes) C++17
100 / 100
340 ms 23312 KB
/*input
ABABABAB
*/
#pragma GCC optimize ("O3")
#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
ll dp[1 << 15];
int main()
{
	ios_base::sync_with_stdio(false);
	string s;
	cin >> s;
	for (int i = 0; i < (1 << 15); i++)
		dp[i] = 1e18;
	dp[0] = 0;
	vector<int>p[15];
	for (int i = 0; i < (int)s.size(); i++)
		p[s[i] - 'A'].push_back(i);
	int G = 15;
	while (p[G - 1].empty())
		G--;
	vector<ll>L1[15][15];
	vector<ll>R1[15][15];
	for (int w = 0; w < G; w++)
	{
		for (int v = 0; v < G; v++)
		{
			if (v == w)
				continue;
			L1[w][v] = vector<ll>(p[v].size() + 2, 0);
			R1[w][v] = vector<ll>(p[v].size() + 2, 0);
			vector<ll>&L = L1[w][v];
			vector<ll>&R = R1[w][v];
			auto it = p[v].begin();
			for (int j : p[w])
			{
				while (it != p[v].end() && (*it) <= j)
					it++;
				//auto it = lower_bound(p[v].begin(), p[v].end(), j);
				L[(it - p[v].begin()) + 1] += 4;
				R[(p[v].end() - it) + 1] += 4;
				//cout << ";" << (char)('A' + v) << " " << s[j] << " " << j << " " << (it - p[v].begin()) + 1 << " " << (p[v].end() - it) + 1 << endl;
			}
			for (ll i = 1; i <= (int)p[v].size(); i++)
				L[i] += L[i - 1];
			for (ll i = 1; i <= (int)p[v].size(); i++)
				L[i] += L[i - 1];
			for (ll i = 1; i <= (int)p[v].size(); i++)
				R[i] += R[i - 1];
			for (ll i = 1; i <= (int)p[v].size(); i++)
				R[i] += R[i - 1];
		}
	}
	int l = 0;
	for (int msk = 0; msk < (1 << G); msk++)
	{
		for (int v = 0; v < G; v++)
		{
			if ((msk & (1 << v)) == 0)
			{
				int msk1 = msk ^ (1 << v);
				auto f = [&](ll l)->ll
				{
					ll r = p[v].size() - l;
					ll sum = l * (l - 1) + r * (r - 1);
					for (int w = 0; w < G; w++)
						if ((msk & (1 << w)) != 0)
						{
							sum += L1[w][v][l];
							sum += R1[w][v][(int)p[v].size() - l];
						}
					return sum;
				};
				l = min(l, (int)p[v].size());
				for (int w = p[v].size(); w >= 1; w /= 2)
				{
					while (l - w >= 0 && f(l - w) < f(l))
						l -= w;
					while (l + w <= (int)p[v].size() && f(l + w) < f(l))
						l += w;
				}
				dp[msk1] = min(dp[msk1], dp[msk] + f(l));
			}
		}
	}
	ll ret = dp[(1 << G) - 1];
	cout << ret / 4;
	if (ret % 4 == 2)
	{
		cout << ".5";
	}
	else if (ret % 4 != 0)
	{
		cout << "." << 25 * (ret % 4);
	}
	cout << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 0 ms 468 KB Output is correct
5 Correct 0 ms 468 KB Output is correct
6 Correct 1 ms 1428 KB Output is correct
7 Correct 1 ms 1428 KB Output is correct
8 Correct 2 ms 1428 KB Output is correct
9 Correct 2 ms 1428 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 0 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 0 ms 468 KB Output is correct
5 Correct 0 ms 468 KB Output is correct
6 Correct 0 ms 468 KB Output is correct
7 Correct 0 ms 468 KB Output is correct
8 Correct 0 ms 468 KB Output is correct
9 Correct 0 ms 468 KB Output is correct
10 Correct 0 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 0 ms 468 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 0 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 0 ms 468 KB Output is correct
5 Correct 0 ms 468 KB Output is correct
6 Correct 0 ms 468 KB Output is correct
7 Correct 0 ms 468 KB Output is correct
8 Correct 0 ms 468 KB Output is correct
9 Correct 0 ms 468 KB Output is correct
10 Correct 0 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 0 ms 468 KB Output is correct
18 Correct 0 ms 468 KB Output is correct
19 Correct 0 ms 468 KB Output is correct
20 Correct 1 ms 596 KB Output is correct
21 Correct 0 ms 596 KB Output is correct
22 Correct 1 ms 596 KB Output is correct
23 Correct 1 ms 468 KB Output is correct
24 Correct 0 ms 596 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 0 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 0 ms 468 KB Output is correct
31 Correct 0 ms 468 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
34 Correct 1 ms 468 KB Output is correct
35 Correct 2 ms 1748 KB Output is correct
36 Correct 2 ms 1748 KB Output is correct
37 Correct 6 ms 2004 KB Output is correct
38 Correct 4 ms 2004 KB Output is correct
39 Correct 3 ms 2004 KB Output is correct
40 Correct 4 ms 2060 KB Output is correct
41 Correct 5 ms 2004 KB Output is correct
42 Correct 5 ms 2004 KB Output is correct
43 Correct 5 ms 2004 KB Output is correct
44 Correct 5 ms 2004 KB Output is correct
45 Correct 5 ms 2004 KB Output is correct
46 Correct 6 ms 2004 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 0 ms 468 KB Output is correct
5 Correct 0 ms 468 KB Output is correct
6 Correct 1 ms 1428 KB Output is correct
7 Correct 1 ms 1428 KB Output is correct
8 Correct 2 ms 1428 KB Output is correct
9 Correct 2 ms 1428 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 0 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 0 ms 468 KB Output is correct
14 Correct 0 ms 468 KB Output is correct
15 Correct 0 ms 468 KB Output is correct
16 Correct 0 ms 468 KB Output is correct
17 Correct 0 ms 468 KB Output is correct
18 Correct 0 ms 468 KB Output is correct
19 Correct 0 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 468 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 0 ms 468 KB Output is correct
27 Correct 0 ms 468 KB Output is correct
28 Correct 0 ms 468 KB Output is correct
29 Correct 1 ms 596 KB Output is correct
30 Correct 0 ms 596 KB Output is correct
31 Correct 1 ms 596 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 0 ms 596 KB Output is correct
34 Correct 1 ms 468 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 0 ms 468 KB Output is correct
37 Correct 1 ms 468 KB Output is correct
38 Correct 1 ms 468 KB Output is correct
39 Correct 0 ms 468 KB Output is correct
40 Correct 0 ms 468 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 468 KB Output is correct
43 Correct 1 ms 468 KB Output is correct
44 Correct 2 ms 1748 KB Output is correct
45 Correct 2 ms 1748 KB Output is correct
46 Correct 6 ms 2004 KB Output is correct
47 Correct 4 ms 2004 KB Output is correct
48 Correct 3 ms 2004 KB Output is correct
49 Correct 4 ms 2060 KB Output is correct
50 Correct 5 ms 2004 KB Output is correct
51 Correct 5 ms 2004 KB Output is correct
52 Correct 5 ms 2004 KB Output is correct
53 Correct 5 ms 2004 KB Output is correct
54 Correct 5 ms 2004 KB Output is correct
55 Correct 6 ms 2004 KB Output is correct
56 Correct 34 ms 596 KB Output is correct
57 Correct 43 ms 596 KB Output is correct
58 Correct 1 ms 468 KB Output is correct
59 Correct 0 ms 468 KB Output is correct
60 Correct 0 ms 468 KB Output is correct
61 Correct 0 ms 468 KB Output is correct
62 Correct 1 ms 468 KB Output is correct
63 Correct 2 ms 1428 KB Output is correct
64 Correct 2 ms 1428 KB Output is correct
65 Correct 2 ms 1428 KB Output is correct
66 Correct 2 ms 1428 KB Output is correct
67 Correct 1 ms 468 KB Output is correct
68 Correct 0 ms 468 KB Output is correct
69 Correct 1 ms 596 KB Output is correct
70 Correct 1 ms 596 KB Output is correct
71 Correct 1 ms 596 KB Output is correct
72 Correct 0 ms 468 KB Output is correct
73 Correct 1 ms 596 KB Output is correct
74 Correct 0 ms 468 KB Output is correct
75 Correct 1 ms 468 KB Output is correct
76 Correct 1 ms 468 KB Output is correct
77 Correct 1 ms 468 KB Output is correct
78 Correct 0 ms 468 KB Output is correct
79 Correct 1 ms 496 KB Output is correct
80 Correct 1 ms 468 KB Output is correct
81 Correct 0 ms 468 KB Output is correct
82 Correct 0 ms 468 KB Output is correct
83 Correct 1 ms 468 KB Output is correct
84 Correct 1 ms 1748 KB Output is correct
85 Correct 2 ms 1748 KB Output is correct
86 Correct 7 ms 2004 KB Output is correct
87 Correct 4 ms 2004 KB Output is correct
88 Correct 4 ms 2004 KB Output is correct
89 Correct 5 ms 2004 KB Output is correct
90 Correct 5 ms 2052 KB Output is correct
91 Correct 6 ms 2004 KB Output is correct
92 Correct 5 ms 2004 KB Output is correct
93 Correct 9 ms 2004 KB Output is correct
94 Correct 6 ms 2004 KB Output is correct
95 Correct 5 ms 2004 KB Output is correct
96 Correct 323 ms 23124 KB Output is correct
97 Correct 33 ms 596 KB Output is correct
98 Correct 176 ms 23132 KB Output is correct
99 Correct 73 ms 23312 KB Output is correct
100 Correct 39 ms 596 KB Output is correct
101 Correct 263 ms 23208 KB Output is correct
102 Correct 322 ms 23224 KB Output is correct
103 Correct 323 ms 23108 KB Output is correct
104 Correct 313 ms 23160 KB Output is correct
105 Correct 340 ms 23200 KB Output is correct
106 Correct 321 ms 23104 KB Output is correct
107 Correct 308 ms 23204 KB Output is correct
108 Correct 153 ms 21460 KB Output is correct
109 Correct 322 ms 23176 KB Output is correct