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Submission #601317

# Submission time Handle Problem Language Result Execution time Memory
601317 2022-07-21T16:48:48 Z patrikpavic2 Boarding Passes (BOI22_passes) C++17
100 / 100
 171 ms 28892 KB 
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <vector>

#define PB push_back
#define int long long

using namespace std;


const int INF = (int)1e18;
const int N = 1e5 + 500;
const int ALP = 15;
const int MSK = (1 << ALP);

int P[N][ALP], sol[N][ALP], n, tmp[ALP];
int cst[MSK][ALP], dp[MSK];
char s[N];

int f(int msk){
	if(msk == MSK - 1) return 0;
	if(dp[msk] != -1) return dp[msk];
	dp[msk] = INF;
	for(int a = 0;a < ALP;a++)
		if(!((1 << a) & msk))
			dp[msk] = min(dp[msk], f(msk | (1 << a)) + cst[msk][a]);
	return dp[msk];
}

signed main(){
	memset(dp, -1, sizeof(dp));
	scanf("%s", s); n = strlen(s);
	for(int i = 0;i < n;i++){
		for(int j = 0;j < ALP;j++)
			P[i][j] = (i ? P[i - 1][j] : 0);
		P[i][s[i] - 'A']++;
	}
	for(int j = 0;j < ALP;j++){
		vector < int > pos;
		memset(tmp, 0, sizeof(tmp));
		for(int i = 0;i < n;i++){
			if(s[i] - 'A' != j) continue;
			pos.PB(i);
			for(int a = 0;a < ALP;a++){
				tmp[a] += P[i][a] - (a == j);
				sol[i][a] += tmp[a] * (1 + (a != j));
			}
		}
		memset(tmp, 0, sizeof(tmp));
		for(int i = n - 1;i >= 0;i--){
			if(s[i] - 'A' != j) continue;
			for(int a = 0;a < ALP;a++){
				sol[i][a] += tmp[a] * (1 + (a != j));
				tmp[a] += P[n - 1][a] - P[i][a];
			}
		}
		for(int msk = 0;msk < (1 << ALP);msk++){
			if(msk & (1 << j)) continue;
			int uk = 0;
			for(int a = 0;a < ALP;a++) 
				if(msk & (1 << a))
					uk += 2 * P[n - 1][a];
			uk += P[n - 1][j] - 1;
			int naj = -1;
			for(int k = 18;k >= 0;k--){
				if(naj + (1 << k) >= (int)pos.size()) continue;
				naj += (1 << k);
				int kol = 0;
				for(int b = 0;b < ALP;b++)
					if(msk & (1 << b)) kol += 2 * P[pos[naj]][b];
				kol += naj;
				if(kol > uk - kol)
					naj -= (1 << k);
			}
			for(int a = 0;a < ALP;a++)
				if((1 << a) & (msk + (1 << j)))
					cst[msk][j] += (naj > -1 ? sol[pos[naj]][a] : (tmp[a] * (1 + (a != j))));
		}
	}
	int fin = f(0);
	printf("%lld", fin / 2);
	if(fin & 1) printf(".5");
	printf("\n");
	return 0;
}

Compilation message

passes.cpp: In function 'int main()':
passes.cpp:33:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   33 |  scanf("%s", s); n = strlen(s);
      |  ~~~~~^~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 4564 KB Output is correct
2 Correct 39 ms 4408 KB Output is correct
3 Correct 42 ms 4388 KB Output is correct
4 Correct 37 ms 4384 KB Output is correct
5 Correct 34 ms 4640 KB Output is correct
6 Correct 54 ms 23696 KB Output is correct
7 Correct 56 ms 27328 KB Output is correct
8 Correct 58 ms 28864 KB Output is correct
9 Correct 60 ms 28860 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 4400 KB Output is correct
2 Correct 34 ms 4416 KB Output is correct
3 Correct 53 ms 4408 KB Output is correct
4 Correct 50 ms 4308 KB Output is correct
5 Correct 40 ms 4420 KB Output is correct
6 Correct 41 ms 4388 KB Output is correct
7 Correct 53 ms 4436 KB Output is correct
8 Correct 44 ms 4328 KB Output is correct
9 Correct 48 ms 4392 KB Output is correct
10 Correct 48 ms 4388 KB Output is correct
11 Correct 49 ms 4308 KB Output is correct
12 Correct 46 ms 4308 KB Output is correct
13 Correct 48 ms 4388 KB Output is correct
14 Correct 47 ms 4388 KB Output is correct
15 Correct 43 ms 4308 KB Output is correct
16 Correct 47 ms 4308 KB Output is correct
17 Correct 47 ms 4396 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 4400 KB Output is correct
2 Correct 34 ms 4416 KB Output is correct
3 Correct 53 ms 4408 KB Output is correct
4 Correct 50 ms 4308 KB Output is correct
5 Correct 40 ms 4420 KB Output is correct
6 Correct 41 ms 4388 KB Output is correct
7 Correct 53 ms 4436 KB Output is correct
8 Correct 44 ms 4328 KB Output is correct
9 Correct 48 ms 4392 KB Output is correct
10 Correct 48 ms 4388 KB Output is correct
11 Correct 49 ms 4308 KB Output is correct
12 Correct 46 ms 4308 KB Output is correct
13 Correct 48 ms 4388 KB Output is correct
14 Correct 47 ms 4388 KB Output is correct
15 Correct 43 ms 4308 KB Output is correct
16 Correct 47 ms 4308 KB Output is correct
17 Correct 47 ms 4396 KB Output is correct
18 Correct 36 ms 4308 KB Output is correct
19 Correct 33 ms 4416 KB Output is correct
20 Correct 53 ms 4412 KB Output is correct
21 Correct 56 ms 4436 KB Output is correct
22 Correct 44 ms 4308 KB Output is correct
23 Correct 40 ms 4308 KB Output is correct
24 Correct 52 ms 4408 KB Output is correct
25 Correct 44 ms 4388 KB Output is correct
26 Correct 44 ms 4388 KB Output is correct
27 Correct 46 ms 4308 KB Output is correct
28 Correct 45 ms 4396 KB Output is correct
29 Correct 45 ms 4308 KB Output is correct
30 Correct 55 ms 4308 KB Output is correct
31 Correct 47 ms 4308 KB Output is correct
32 Correct 44 ms 4308 KB Output is correct
33 Correct 51 ms 4392 KB Output is correct
34 Correct 45 ms 4308 KB Output is correct
35 Correct 42 ms 6876 KB Output is correct
36 Correct 42 ms 6884 KB Output is correct
37 Correct 82 ms 6860 KB Output is correct
38 Correct 80 ms 6648 KB Output is correct
39 Correct 46 ms 6868 KB Output is correct
40 Correct 77 ms 6752 KB Output is correct
41 Correct 85 ms 6728 KB Output is correct
42 Correct 96 ms 6724 KB Output is correct
43 Correct 85 ms 6740 KB Output is correct
44 Correct 80 ms 6720 KB Output is correct
45 Correct 81 ms 6628 KB Output is correct
46 Correct 86 ms 6720 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 4564 KB Output is correct
2 Correct 39 ms 4408 KB Output is correct
3 Correct 42 ms 4388 KB Output is correct
4 Correct 37 ms 4384 KB Output is correct
5 Correct 34 ms 4640 KB Output is correct
6 Correct 54 ms 23696 KB Output is correct
7 Correct 56 ms 27328 KB Output is correct
8 Correct 58 ms 28864 KB Output is correct
9 Correct 60 ms 28860 KB Output is correct
10 Correct 39 ms 4400 KB Output is correct
11 Correct 34 ms 4416 KB Output is correct
12 Correct 53 ms 4408 KB Output is correct
13 Correct 50 ms 4308 KB Output is correct
14 Correct 40 ms 4420 KB Output is correct
15 Correct 41 ms 4388 KB Output is correct
16 Correct 53 ms 4436 KB Output is correct
17 Correct 44 ms 4328 KB Output is correct
18 Correct 48 ms 4392 KB Output is correct
19 Correct 48 ms 4388 KB Output is correct
20 Correct 49 ms 4308 KB Output is correct
21 Correct 46 ms 4308 KB Output is correct
22 Correct 48 ms 4388 KB Output is correct
23 Correct 47 ms 4388 KB Output is correct
24 Correct 43 ms 4308 KB Output is correct
25 Correct 47 ms 4308 KB Output is correct
26 Correct 47 ms 4396 KB Output is correct
27 Correct 36 ms 4308 KB Output is correct
28 Correct 33 ms 4416 KB Output is correct
29 Correct 53 ms 4412 KB Output is correct
30 Correct 56 ms 4436 KB Output is correct
31 Correct 44 ms 4308 KB Output is correct
32 Correct 40 ms 4308 KB Output is correct
33 Correct 52 ms 4408 KB Output is correct
34 Correct 44 ms 4388 KB Output is correct
35 Correct 44 ms 4388 KB Output is correct
36 Correct 46 ms 4308 KB Output is correct
37 Correct 45 ms 4396 KB Output is correct
38 Correct 45 ms 4308 KB Output is correct
39 Correct 55 ms 4308 KB Output is correct
40 Correct 47 ms 4308 KB Output is correct
41 Correct 44 ms 4308 KB Output is correct
42 Correct 51 ms 4392 KB Output is correct
43 Correct 45 ms 4308 KB Output is correct
44 Correct 42 ms 6876 KB Output is correct
45 Correct 42 ms 6884 KB Output is correct
46 Correct 82 ms 6860 KB Output is correct
47 Correct 80 ms 6648 KB Output is correct
48 Correct 46 ms 6868 KB Output is correct
49 Correct 77 ms 6752 KB Output is correct
50 Correct 85 ms 6728 KB Output is correct
51 Correct 96 ms 6724 KB Output is correct
52 Correct 85 ms 6740 KB Output is correct
53 Correct 80 ms 6720 KB Output is correct
54 Correct 81 ms 6628 KB Output is correct
55 Correct 86 ms 6720 KB Output is correct
56 Correct 40 ms 4404 KB Output is correct
57 Correct 61 ms 4308 KB Output is correct
58 Correct 36 ms 4564 KB Output is correct
59 Correct 33 ms 4392 KB Output is correct
60 Correct 31 ms 4308 KB Output is correct
61 Correct 33 ms 4488 KB Output is correct
62 Correct 34 ms 4648 KB Output is correct
63 Correct 53 ms 23752 KB Output is correct
64 Correct 58 ms 27408 KB Output is correct
65 Correct 56 ms 28892 KB Output is correct
66 Correct 57 ms 28872 KB Output is correct
67 Correct 34 ms 4308 KB Output is correct
68 Correct 34 ms 4436 KB Output is correct
69 Correct 54 ms 4416 KB Output is correct
70 Correct 51 ms 4416 KB Output is correct
71 Correct 45 ms 4416 KB Output is correct
72 Correct 41 ms 4396 KB Output is correct
73 Correct 52 ms 4428 KB Output is correct
74 Correct 46 ms 4392 KB Output is correct
75 Correct 43 ms 4392 KB Output is correct
76 Correct 44 ms 4308 KB Output is correct
77 Correct 44 ms 4308 KB Output is correct
78 Correct 49 ms 4400 KB Output is correct
79 Correct 61 ms 4400 KB Output is correct
80 Correct 55 ms 4308 KB Output is correct
81 Correct 44 ms 4428 KB Output is correct
82 Correct 43 ms 4396 KB Output is correct
83 Correct 44 ms 4308 KB Output is correct
84 Correct 39 ms 6960 KB Output is correct
85 Correct 37 ms 6964 KB Output is correct
86 Correct 86 ms 6784 KB Output is correct
87 Correct 83 ms 6768 KB Output is correct
88 Correct 57 ms 6956 KB Output is correct
89 Correct 79 ms 6756 KB Output is correct
90 Correct 79 ms 6740 KB Output is correct
91 Correct 80 ms 6780 KB Output is correct
92 Correct 88 ms 6852 KB Output is correct
93 Correct 85 ms 6740 KB Output is correct
94 Correct 80 ms 6748 KB Output is correct
95 Correct 78 ms 6732 KB Output is correct
96 Correct 148 ms 28176 KB Output is correct
97 Correct 56 ms 4308 KB Output is correct
98 Correct 151 ms 28144 KB Output is correct
99 Correct 72 ms 28860 KB Output is correct
100 Correct 47 ms 4308 KB Output is correct
101 Correct 146 ms 28056 KB Output is correct
102 Correct 167 ms 28228 KB Output is correct
103 Correct 148 ms 28108 KB Output is correct
104 Correct 152 ms 28168 KB Output is correct
105 Correct 156 ms 28144 KB Output is correct
106 Correct 154 ms 28188 KB Output is correct
107 Correct 148 ms 28252 KB Output is correct
108 Correct 145 ms 28108 KB Output is correct
109 Correct 171 ms 28276 KB Output is correct