oj.uz

Submission #578454

# Submission time Handle Problem Language Result Execution time Memory
578454 2022-06-17T01:37:05 Z 8e7 Boarding Passes (BOI22_passes) C++17
100 / 100
 186 ms 14588 KB 
//Challenge: Accepted
#include <bits/stdc++.h>
using namespace std;
#ifdef zisk
void debug(){cout << endl;}
template<class T, class ... U> void debug(T a, U ... b){cout << a << " ", debug(b...); }
template<class T> void pary(T l, T r) {
	while (l != r) cout << *l << " ", l++;
	cout << endl;
}
#else
#define debug(...) 0
#define pary(...) 0
#endif
#define ll long long
#define maxn 100005
#define maxc 15
#define pii pair<int, int>
#define ff first
#define ss second
#define io ios_base::sync_with_stdio(0);cin.tie(0);
const ll inf = 1LL<<60;
ll dp[1<<maxc];
int pref[maxn], suf[maxn], col[maxn];
vector<int> pos[maxc];
ll cnt[maxc][maxc][maxn];
int main() {
	io
	ll n;
	string s;
	cin >> s;
	n = s.size();
	
	for (int i = 0;i < n;i++) {
		int c = s[i] - 'A';
		pos[c].push_back(i);	
		col[i] = c;
	}
	
	for (int i = 0;i < maxc;i++) {
		for (int j = 0;j < n;j++) {
			pref[j] = suf[j] = (col[j] == i) ? 1 : 0;
			pref[j] += j ? pref[j-1] : 0;
		}
		for (int j = n - 2;j >= 0;j--)suf[j] += suf[j+1];
		for (int p = 0;p < maxc;p++) {
			if (p == i) continue;
			ll cur = 0;
			for (int x:pos[p]) cur += suf[x];
			cnt[p][i][0] = cur;	
			int id = 1;
			for (int x:pos[p]) {
				cur += pref[x] - suf[x];
				cnt[p][i][id++] = cur;
			}
		}
	}
	
	for (int i = 0;i < (1<<maxc);i++) dp[i] = inf;
	
	
	dp[0] = 0;
	for (int i = 0;i < (1<<maxc);i++) {
		vector<int> t;
		for (int j = 0;j < maxc;j++) {
			if ((i >> j) & 1) t.push_back(j);
		}
		auto getval = [&] (int p, int k) {
			ll ret = 0;
			for (int x:t) {
				ret += cnt[p][x][k];	
			}
			return ret * 4 + (ll)k * (k - 1) + (ll)(pos[p].size() - k) * (pos[p].size() - k - 1);
		};
		for (int j = 0;j < maxc;j++) {
			if (!((i >> j) & 1)) {
				int low = 0, up = pos[j].size()+1;
				while (low < up - 2) {
					int m1 = (low * 2 + up) / 3, m2 = (low + up * 2) / 3;
					if (getval(j, m1) <= getval(j, m2)) up = m2;
					else low = m1;
				}
				ll best = min(getval(j, low), getval(j, (low + up) / 2));	
				int to = i + (1<<j);
				dp[to] = min(dp[to], dp[i] + best);
			}
		}
	}
	ll ans = dp[(1<<maxc) - 1];
	ll a0 = ans / 4;
	cout << a0;
	if (ans % 4 == 1) {
		cout << ".25\n";
	} else if (ans % 4 == 2) {
		cout << ".5\n";
	} else if (ans % 4 == 3) {
		cout << ".75\n";
	}
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 1876 KB Output is correct
2 Correct 16 ms 1776 KB Output is correct
3 Correct 16 ms 1780 KB Output is correct
4 Correct 17 ms 1784 KB Output is correct
5 Correct 28 ms 1876 KB Output is correct
6 Correct 40 ms 11920 KB Output is correct
7 Correct 41 ms 13840 KB Output is correct
8 Correct 47 ms 14464 KB Output is correct
9 Correct 49 ms 14564 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 1768 KB Output is correct
2 Correct 22 ms 1748 KB Output is correct
3 Correct 29 ms 1748 KB Output is correct
4 Correct 27 ms 1748 KB Output is correct
5 Correct 19 ms 1796 KB Output is correct
6 Correct 15 ms 1748 KB Output is correct
7 Correct 26 ms 1784 KB Output is correct
8 Correct 22 ms 1780 KB Output is correct
9 Correct 22 ms 1716 KB Output is correct
10 Correct 30 ms 1784 KB Output is correct
11 Correct 23 ms 1748 KB Output is correct
12 Correct 25 ms 1868 KB Output is correct
13 Correct 21 ms 1748 KB Output is correct
14 Correct 20 ms 1784 KB Output is correct
15 Correct 20 ms 1748 KB Output is correct
16 Correct 21 ms 1748 KB Output is correct
17 Correct 20 ms 1748 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 1768 KB Output is correct
2 Correct 22 ms 1748 KB Output is correct
3 Correct 29 ms 1748 KB Output is correct
4 Correct 27 ms 1748 KB Output is correct
5 Correct 19 ms 1796 KB Output is correct
6 Correct 15 ms 1748 KB Output is correct
7 Correct 26 ms 1784 KB Output is correct
8 Correct 22 ms 1780 KB Output is correct
9 Correct 22 ms 1716 KB Output is correct
10 Correct 30 ms 1784 KB Output is correct
11 Correct 23 ms 1748 KB Output is correct
12 Correct 25 ms 1868 KB Output is correct
13 Correct 21 ms 1748 KB Output is correct
14 Correct 20 ms 1784 KB Output is correct
15 Correct 20 ms 1748 KB Output is correct
16 Correct 21 ms 1748 KB Output is correct
17 Correct 20 ms 1748 KB Output is correct
18 Correct 18 ms 1748 KB Output is correct
19 Correct 22 ms 1796 KB Output is correct
20 Correct 30 ms 1748 KB Output is correct
21 Correct 31 ms 1748 KB Output is correct
22 Correct 20 ms 1748 KB Output is correct
23 Correct 20 ms 1784 KB Output is correct
24 Correct 29 ms 1748 KB Output is correct
25 Correct 23 ms 1760 KB Output is correct
26 Correct 20 ms 1748 KB Output is correct
27 Correct 22 ms 1748 KB Output is correct
28 Correct 21 ms 1780 KB Output is correct
29 Correct 22 ms 1748 KB Output is correct
30 Correct 21 ms 1788 KB Output is correct
31 Correct 20 ms 1784 KB Output is correct
32 Correct 19 ms 1748 KB Output is correct
33 Correct 21 ms 1748 KB Output is correct
34 Correct 21 ms 1776 KB Output is correct
35 Correct 26 ms 3120 KB Output is correct
36 Correct 29 ms 3116 KB Output is correct
37 Correct 79 ms 3028 KB Output is correct
38 Correct 65 ms 3028 KB Output is correct
39 Correct 24 ms 3120 KB Output is correct
40 Correct 71 ms 3064 KB Output is correct
41 Correct 76 ms 3064 KB Output is correct
42 Correct 86 ms 3028 KB Output is correct
43 Correct 75 ms 3040 KB Output is correct
44 Correct 76 ms 3028 KB Output is correct
45 Correct 82 ms 3044 KB Output is correct
46 Correct 82 ms 3028 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 1876 KB Output is correct
2 Correct 16 ms 1776 KB Output is correct
3 Correct 16 ms 1780 KB Output is correct
4 Correct 17 ms 1784 KB Output is correct
5 Correct 28 ms 1876 KB Output is correct
6 Correct 40 ms 11920 KB Output is correct
7 Correct 41 ms 13840 KB Output is correct
8 Correct 47 ms 14464 KB Output is correct
9 Correct 49 ms 14564 KB Output is correct
10 Correct 18 ms 1768 KB Output is correct
11 Correct 22 ms 1748 KB Output is correct
12 Correct 29 ms 1748 KB Output is correct
13 Correct 27 ms 1748 KB Output is correct
14 Correct 19 ms 1796 KB Output is correct
15 Correct 15 ms 1748 KB Output is correct
16 Correct 26 ms 1784 KB Output is correct
17 Correct 22 ms 1780 KB Output is correct
18 Correct 22 ms 1716 KB Output is correct
19 Correct 30 ms 1784 KB Output is correct
20 Correct 23 ms 1748 KB Output is correct
21 Correct 25 ms 1868 KB Output is correct
22 Correct 21 ms 1748 KB Output is correct
23 Correct 20 ms 1784 KB Output is correct
24 Correct 20 ms 1748 KB Output is correct
25 Correct 21 ms 1748 KB Output is correct
26 Correct 20 ms 1748 KB Output is correct
27 Correct 18 ms 1748 KB Output is correct
28 Correct 22 ms 1796 KB Output is correct
29 Correct 30 ms 1748 KB Output is correct
30 Correct 31 ms 1748 KB Output is correct
31 Correct 20 ms 1748 KB Output is correct
32 Correct 20 ms 1784 KB Output is correct
33 Correct 29 ms 1748 KB Output is correct
34 Correct 23 ms 1760 KB Output is correct
35 Correct 20 ms 1748 KB Output is correct
36 Correct 22 ms 1748 KB Output is correct
37 Correct 21 ms 1780 KB Output is correct
38 Correct 22 ms 1748 KB Output is correct
39 Correct 21 ms 1788 KB Output is correct
40 Correct 20 ms 1784 KB Output is correct
41 Correct 19 ms 1748 KB Output is correct
42 Correct 21 ms 1748 KB Output is correct
43 Correct 21 ms 1776 KB Output is correct
44 Correct 26 ms 3120 KB Output is correct
45 Correct 29 ms 3116 KB Output is correct
46 Correct 79 ms 3028 KB Output is correct
47 Correct 65 ms 3028 KB Output is correct
48 Correct 24 ms 3120 KB Output is correct
49 Correct 71 ms 3064 KB Output is correct
50 Correct 76 ms 3064 KB Output is correct
51 Correct 86 ms 3028 KB Output is correct
52 Correct 75 ms 3040 KB Output is correct
53 Correct 76 ms 3028 KB Output is correct
54 Correct 82 ms 3044 KB Output is correct
55 Correct 82 ms 3028 KB Output is correct
56 Correct 19 ms 1784 KB Output is correct
57 Correct 21 ms 1748 KB Output is correct
58 Correct 21 ms 1904 KB Output is correct
59 Correct 19 ms 1748 KB Output is correct
60 Correct 18 ms 1784 KB Output is correct
61 Correct 17 ms 1748 KB Output is correct
62 Correct 23 ms 1912 KB Output is correct
63 Correct 36 ms 11920 KB Output is correct
64 Correct 42 ms 13840 KB Output is correct
65 Correct 44 ms 14480 KB Output is correct
66 Correct 42 ms 14520 KB Output is correct
67 Correct 17 ms 1748 KB Output is correct
68 Correct 19 ms 1748 KB Output is correct
69 Correct 34 ms 1784 KB Output is correct
70 Correct 28 ms 1748 KB Output is correct
71 Correct 19 ms 1748 KB Output is correct
72 Correct 16 ms 1748 KB Output is correct
73 Correct 29 ms 1748 KB Output is correct
74 Correct 22 ms 1780 KB Output is correct
75 Correct 21 ms 1748 KB Output is correct
76 Correct 22 ms 1748 KB Output is correct
77 Correct 21 ms 1776 KB Output is correct
78 Correct 22 ms 1748 KB Output is correct
79 Correct 24 ms 1780 KB Output is correct
80 Correct 23 ms 1748 KB Output is correct
81 Correct 19 ms 1780 KB Output is correct
82 Correct 20 ms 1780 KB Output is correct
83 Correct 24 ms 1748 KB Output is correct
84 Correct 25 ms 3096 KB Output is correct
85 Correct 24 ms 3028 KB Output is correct
86 Correct 74 ms 3056 KB Output is correct
87 Correct 81 ms 3048 KB Output is correct
88 Correct 33 ms 3028 KB Output is correct
89 Correct 80 ms 3044 KB Output is correct
90 Correct 77 ms 3048 KB Output is correct
91 Correct 77 ms 3052 KB Output is correct
92 Correct 86 ms 3040 KB Output is correct
93 Correct 72 ms 3028 KB Output is correct
94 Correct 76 ms 3028 KB Output is correct
95 Correct 79 ms 3044 KB Output is correct
96 Correct 161 ms 14480 KB Output is correct
97 Correct 25 ms 1768 KB Output is correct
98 Correct 141 ms 14516 KB Output is correct
99 Correct 42 ms 14480 KB Output is correct
100 Correct 16 ms 1780 KB Output is correct
101 Correct 135 ms 14512 KB Output is correct
102 Correct 151 ms 14548 KB Output is correct
103 Correct 140 ms 14556 KB Output is correct
104 Correct 150 ms 14520 KB Output is correct
105 Correct 176 ms 14532 KB Output is correct
106 Correct 155 ms 14464 KB Output is correct
107 Correct 138 ms 14524 KB Output is correct
108 Correct 138 ms 14540 KB Output is correct
109 Correct 186 ms 14588 KB Output is correct