# | Submission time | Handle | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
701896 | 2023-02-22T09:56:37 Z | Johann | Boarding Passes (BOI22_passes) | C++14 | 2000 ms | 1236 KB |
#include "bits/stdc++.h" using namespace std; typedef long long ll; typedef vector<int> vi; typedef vector<double> vd; #define sz(x) (int)(x).size() vi B; vd dp; double calc(ll k1, ll k2) { return (k1 * (k1 - 1) + k2 * (k2 - 1)) / (double)4; } double expectOneGroup(ll N) { ll k1 = ceil(N / (double)2), k2 = floor(N / (double)2); return calc(k1, k2); } double compute(int mask, int lg) // lg is a bitvector with the bit of the group set { int others = mask ^ lg; ll k1 = 0, k2 = 0; // passenger split of this Gruop lg ll o1 = 0, o2 = 0; // other passengers l and right ll safeOtherCost = 0; for (int i = sz(B) - 1; i >= 0; --i) if (B[i] == lg) ++k2, safeOtherCost += o2; else if (B[i] & mask) ++o2; double res = dp[others] + safeOtherCost + calc(k1, k2); for (int i = 0; i < sz(B); ++i) { if (B[i] == lg) { ++k1, --k2; safeOtherCost = safeOtherCost - o2 + o1; } else if (B[i] & mask) { ++o1, --o2; } res = min(res, dp[others] + safeOtherCost + calc(k1, k2)); } return res; } int main() { ios::sync_with_stdio(false); cin.tie(0); string P; cin >> P; ll N = sz(P); int G = 0; B.resize(N); for (int i = 0; i < N; ++i) B[i] = (1 << (P[i] - 'A')), G = max(G, P[i] - 'A'); ++G; // to get the size dp.assign(1 << G, calc(100100, 100100)); dp[0] = 0; for (int i = 1; i < sz(dp); ++i) { for (int j = 0; j < G; ++j) { // last group to enter if (((1 << j) & i) == 0) continue; dp[i] = min(dp[i], compute(i, (1 << j))); } } // double res = expectOneGroup(N); printf("%f\n", dp[(1 << G) - 1]); return 0; }
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 1 ms | 212 KB | found '100800.5000000000', expected '100800.5000000000', error '0.0000000000' |
2 | Correct | 0 ms | 212 KB | found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
3 | Correct | 0 ms | 212 KB | found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
4 | Correct | 0 ms | 212 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
5 | Correct | 0 ms | 212 KB | found '124002.0000000000', expected '124002.0000000000', error '0.0000000000' |
6 | Correct | 1 ms | 724 KB | found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000' |
7 | Correct | 1 ms | 852 KB | found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000' |
8 | Correct | 1 ms | 852 KB | found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000' |
9 | Correct | 1 ms | 852 KB | found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000' |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 0 ms | 212 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
2 | Correct | 1 ms | 212 KB | found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
3 | Correct | 1 ms | 212 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
4 | Correct | 1 ms | 212 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
5 | Correct | 1 ms | 212 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
6 | Correct | 0 ms | 212 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
7 | Correct | 1 ms | 212 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
8 | Correct | 0 ms | 212 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
9 | Correct | 1 ms | 212 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
10 | Correct | 1 ms | 212 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
11 | Correct | 1 ms | 212 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
12 | Correct | 1 ms | 320 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
13 | Correct | 1 ms | 212 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
14 | Correct | 1 ms | 320 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
15 | Correct | 0 ms | 212 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
16 | Correct | 1 ms | 212 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
17 | Correct | 1 ms | 212 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 0 ms | 212 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
2 | Correct | 1 ms | 212 KB | found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
3 | Correct | 1 ms | 212 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
4 | Correct | 1 ms | 212 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
5 | Correct | 1 ms | 212 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
6 | Correct | 0 ms | 212 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
7 | Correct | 1 ms | 212 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
8 | Correct | 0 ms | 212 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
9 | Correct | 1 ms | 212 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
10 | Correct | 1 ms | 212 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
11 | Correct | 1 ms | 212 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
12 | Correct | 1 ms | 320 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
13 | Correct | 1 ms | 212 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
14 | Correct | 1 ms | 320 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
15 | Correct | 0 ms | 212 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
16 | Correct | 1 ms | 212 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
17 | Correct | 1 ms | 212 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
18 | Correct | 1 ms | 212 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
19 | Correct | 1 ms | 212 KB | found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
20 | Correct | 1 ms | 288 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
21 | Correct | 1 ms | 212 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
22 | Correct | 1 ms | 316 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
23 | Correct | 1 ms | 212 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
24 | Correct | 1 ms | 212 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
25 | Correct | 1 ms | 212 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
26 | Correct | 1 ms | 320 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
27 | Correct | 1 ms | 212 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
28 | Correct | 1 ms | 212 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
29 | Correct | 1 ms | 320 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
30 | Correct | 1 ms | 212 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
31 | Correct | 1 ms | 212 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
32 | Correct | 1 ms | 212 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
33 | Correct | 1 ms | 212 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
34 | Correct | 1 ms | 212 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
35 | Correct | 32 ms | 340 KB | found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000' |
36 | Correct | 23 ms | 340 KB | found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000' |
37 | Correct | 325 ms | 368 KB | found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000' |
38 | Correct | 116 ms | 340 KB | found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000' |
39 | Correct | 123 ms | 372 KB | found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000' |
40 | Correct | 115 ms | 380 KB | found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000' |
41 | Correct | 130 ms | 372 KB | found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000' |
42 | Correct | 131 ms | 372 KB | found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000' |
43 | Correct | 130 ms | 368 KB | found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000' |
44 | Correct | 130 ms | 372 KB | found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000' |
45 | Correct | 129 ms | 376 KB | found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000' |
46 | Correct | 129 ms | 340 KB | found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000' |
# | Verdict | Execution time | Memory | Grader output |
---|---|---|---|---|
1 | Correct | 1 ms | 212 KB | found '100800.5000000000', expected '100800.5000000000', error '0.0000000000' |
2 | Correct | 0 ms | 212 KB | found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
3 | Correct | 0 ms | 212 KB | found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
4 | Correct | 0 ms | 212 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
5 | Correct | 0 ms | 212 KB | found '124002.0000000000', expected '124002.0000000000', error '0.0000000000' |
6 | Correct | 1 ms | 724 KB | found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000' |
7 | Correct | 1 ms | 852 KB | found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000' |
8 | Correct | 1 ms | 852 KB | found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000' |
9 | Correct | 1 ms | 852 KB | found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000' |
10 | Correct | 0 ms | 212 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
11 | Correct | 1 ms | 212 KB | found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
12 | Correct | 1 ms | 212 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
13 | Correct | 1 ms | 212 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
14 | Correct | 1 ms | 212 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
15 | Correct | 0 ms | 212 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
16 | Correct | 1 ms | 212 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
17 | Correct | 0 ms | 212 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
18 | Correct | 1 ms | 212 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
19 | Correct | 1 ms | 212 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
20 | Correct | 1 ms | 212 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
21 | Correct | 1 ms | 320 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
22 | Correct | 1 ms | 212 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
23 | Correct | 1 ms | 320 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
24 | Correct | 0 ms | 212 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
25 | Correct | 1 ms | 212 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
26 | Correct | 1 ms | 212 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
27 | Correct | 1 ms | 212 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
28 | Correct | 1 ms | 212 KB | found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
29 | Correct | 1 ms | 288 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
30 | Correct | 1 ms | 212 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
31 | Correct | 1 ms | 316 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
32 | Correct | 1 ms | 212 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
33 | Correct | 1 ms | 212 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
34 | Correct | 1 ms | 212 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
35 | Correct | 1 ms | 320 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
36 | Correct | 1 ms | 212 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
37 | Correct | 1 ms | 212 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
38 | Correct | 1 ms | 320 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
39 | Correct | 1 ms | 212 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
40 | Correct | 1 ms | 212 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
41 | Correct | 1 ms | 212 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
42 | Correct | 1 ms | 212 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
43 | Correct | 1 ms | 212 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
44 | Correct | 32 ms | 340 KB | found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000' |
45 | Correct | 23 ms | 340 KB | found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000' |
46 | Correct | 325 ms | 368 KB | found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000' |
47 | Correct | 116 ms | 340 KB | found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000' |
48 | Correct | 123 ms | 372 KB | found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000' |
49 | Correct | 115 ms | 380 KB | found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000' |
50 | Correct | 130 ms | 372 KB | found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000' |
51 | Correct | 131 ms | 372 KB | found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000' |
52 | Correct | 130 ms | 368 KB | found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000' |
53 | Correct | 130 ms | 372 KB | found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000' |
54 | Correct | 129 ms | 376 KB | found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000' |
55 | Correct | 129 ms | 340 KB | found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000' |
56 | Correct | 11 ms | 572 KB | found '7.5000000000', expected '7.5000000000', error '0.0000000000' |
57 | Correct | 36 ms | 576 KB | found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
58 | Correct | 1 ms | 212 KB | found '100800.5000000000', expected '100800.5000000000', error '0.0000000000' |
59 | Correct | 1 ms | 212 KB | found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
60 | Correct | 1 ms | 212 KB | found '0.0000000000', expected '0.0000000000', error '-0.0000000000' |
61 | Correct | 1 ms | 212 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
62 | Correct | 1 ms | 212 KB | found '124002.0000000000', expected '124002.0000000000', error '0.0000000000' |
63 | Correct | 1 ms | 788 KB | found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000' |
64 | Correct | 1 ms | 980 KB | found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000' |
65 | Correct | 1 ms | 980 KB | found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000' |
66 | Correct | 1 ms | 980 KB | found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000' |
67 | Correct | 0 ms | 212 KB | found '1.0000000000', expected '1.0000000000', error '0.0000000000' |
68 | Correct | 1 ms | 212 KB | found '1225.0000000000', expected '1225.0000000000', error '0.0000000000' |
69 | Correct | 1 ms | 212 KB | found '1023.0000000000', expected '1023.0000000000', error '0.0000000000' |
70 | Correct | 1 ms | 324 KB | found '294.0000000000', expected '294.0000000000', error '0.0000000000' |
71 | Correct | 1 ms | 212 KB | found '1087.0000000000', expected '1087.0000000000', error '0.0000000000' |
72 | Correct | 0 ms | 212 KB | found '1.5000000000', expected '1.5000000000', error '0.0000000000' |
73 | Correct | 1 ms | 212 KB | found '703.0000000000', expected '703.0000000000', error '0.0000000000' |
74 | Correct | 1 ms | 212 KB | found '55.5000000000', expected '55.5000000000', error '0.0000000000' |
75 | Correct | 1 ms | 212 KB | found '56.0000000000', expected '56.0000000000', error '0.0000000000' |
76 | Correct | 1 ms | 212 KB | found '45.0000000000', expected '45.0000000000', error '0.0000000000' |
77 | Correct | 0 ms | 212 KB | found '66.5000000000', expected '66.5000000000', error '0.0000000000' |
78 | Correct | 1 ms | 212 KB | found '67.0000000000', expected '67.0000000000', error '0.0000000000' |
79 | Correct | 1 ms | 212 KB | found '66.0000000000', expected '66.0000000000', error '0.0000000000' |
80 | Correct | 1 ms | 212 KB | found '47.0000000000', expected '47.0000000000', error '0.0000000000' |
81 | Correct | 1 ms | 212 KB | found '50.0000000000', expected '50.0000000000', error '0.0000000000' |
82 | Correct | 1 ms | 212 KB | found '49.0000000000', expected '49.0000000000', error '0.0000000000' |
83 | Correct | 0 ms | 212 KB | found '57.0000000000', expected '57.0000000000', error '0.0000000000' |
84 | Correct | 23 ms | 340 KB | found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000' |
85 | Correct | 23 ms | 372 KB | found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000' |
86 | Correct | 326 ms | 368 KB | found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000' |
87 | Correct | 114 ms | 368 KB | found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000' |
88 | Correct | 115 ms | 340 KB | found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000' |
89 | Correct | 123 ms | 340 KB | found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000' |
90 | Correct | 132 ms | 368 KB | found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000' |
91 | Correct | 140 ms | 340 KB | found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000' |
92 | Correct | 130 ms | 376 KB | found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000' |
93 | Correct | 133 ms | 372 KB | found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000' |
94 | Correct | 133 ms | 340 KB | found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000' |
95 | Correct | 128 ms | 368 KB | found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000' |
96 | Execution timed out | 2073 ms | 1236 KB | Time limit exceeded |
97 | Halted | 0 ms | 0 KB | - |