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Submission #604174

# Submission time Handle Problem Language Result Execution time Memory
604174 2022-07-24T19:47:13 Z MathStudent2002 Arranging Shoes (IOI19_shoes) C++14
100 / 100
 109 ms 17700 KB 
#include "shoes.h"
#include <algorithm>

typedef long long ll;

const int MAXM = 200005;

ll BIT[MAXM];

void add(int i, ll delta) {
	while (i < MAXM) {
		BIT[i] += delta;
		i += (i & (-i));
	}
}

ll query(int i) {
	ll ans = 0;
	while (i > 0) {
		ans += BIT[i];
		i -= (i & (-i));
	}
	return ans;
}

long long count_swaps(std::vector<int> s) {
	int N = int(s.size()) / 2;
	std::vector<int> loc[2*N+2];
	for (int i = 0; i < 2*N; i++) {
		int shoe = s[i];
		if (shoe > 0) loc[shoe].push_back(i);
		else loc[-shoe+(N+1)].push_back(i);
	}

	std::vector<std::pair<int, int>> sloc;

	for (int i = 1; i <= N; i++) {
		for (int idx = 0; idx < int(loc[i].size()); idx++) {
			sloc.push_back({loc[i][idx] + loc[i+N+1][idx], i});
		}
	}

	std::sort(sloc.begin(), sloc.end());

	int perm[2*N];
	int id[N+1];
	for (int i = 0; i <= N; i++) {
		id[i] = 0;
	}

	for (int i = 0; i < N; i++) {
		int shoeid = sloc[i].second;
		perm[loc[N+1+shoeid][id[shoeid]]] = 2*i;
		perm[loc[shoeid][id[shoeid]]] = 2*i+1;
		id[shoeid]++;
	}

	// count inversions
	
	int M = 2 * N;
	
	ll ans = 0;
	for (int i = M-1; i >= 0; i--) {
		ans += query(perm[i]+1);
		add(perm[i]+1, 1);
	}

	return ans;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 304 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 300 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 300 KB Output is correct
17 Correct 0 ms 300 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 300 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 1 ms 296 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 0 ms 340 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 300 KB Output is correct
36 Correct 0 ms 212 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 304 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 296 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 5 ms 1636 KB Output is correct
21 Correct 4 ms 1584 KB Output is correct
22 Correct 35 ms 11468 KB Output is correct
23 Correct 33 ms 11320 KB Output is correct
24 Correct 37 ms 11308 KB Output is correct
25 Correct 33 ms 11340 KB Output is correct
26 Correct 45 ms 12236 KB Output is correct
27 Correct 34 ms 11968 KB Output is correct
28 Correct 37 ms 12188 KB Output is correct
29 Correct 34 ms 12196 KB Output is correct
30 Correct 35 ms 12224 KB Output is correct
31 Correct 37 ms 12236 KB Output is correct
32 Correct 34 ms 12220 KB Output is correct
33 Correct 33 ms 11936 KB Output is correct
34 Correct 39 ms 12148 KB Output is correct
35 Correct 0 ms 340 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 34 ms 12192 KB Output is correct
38 Correct 33 ms 12224 KB Output is correct
39 Correct 34 ms 12192 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 66 ms 16808 KB Output is correct
6 Correct 60 ms 12888 KB Output is correct
7 Correct 69 ms 17668 KB Output is correct
8 Correct 40 ms 12280 KB Output is correct
9 Correct 66 ms 17600 KB Output is correct
10 Correct 65 ms 14528 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 304 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 300 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 300 KB Output is correct
17 Correct 0 ms 300 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 300 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 1 ms 296 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 0 ms 340 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 300 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 300 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 1 ms 300 KB Output is correct
40 Correct 1 ms 340 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 1 ms 468 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 432 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 436 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 468 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 304 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 300 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 300 KB Output is correct
17 Correct 0 ms 300 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 300 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 1 ms 296 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 0 ms 340 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 300 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 304 KB Output is correct
40 Correct 0 ms 340 KB Output is correct
41 Correct 0 ms 212 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 0 ms 296 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 5 ms 1636 KB Output is correct
55 Correct 4 ms 1584 KB Output is correct
56 Correct 35 ms 11468 KB Output is correct
57 Correct 33 ms 11320 KB Output is correct
58 Correct 37 ms 11308 KB Output is correct
59 Correct 33 ms 11340 KB Output is correct
60 Correct 45 ms 12236 KB Output is correct
61 Correct 34 ms 11968 KB Output is correct
62 Correct 37 ms 12188 KB Output is correct
63 Correct 34 ms 12196 KB Output is correct
64 Correct 35 ms 12224 KB Output is correct
65 Correct 37 ms 12236 KB Output is correct
66 Correct 34 ms 12220 KB Output is correct
67 Correct 33 ms 11936 KB Output is correct
68 Correct 39 ms 12148 KB Output is correct
69 Correct 0 ms 340 KB Output is correct
70 Correct 0 ms 212 KB Output is correct
71 Correct 34 ms 12192 KB Output is correct
72 Correct 33 ms 12224 KB Output is correct
73 Correct 34 ms 12192 KB Output is correct
74 Correct 0 ms 212 KB Output is correct
75 Correct 0 ms 212 KB Output is correct
76 Correct 0 ms 340 KB Output is correct
77 Correct 0 ms 340 KB Output is correct
78 Correct 66 ms 16808 KB Output is correct
79 Correct 60 ms 12888 KB Output is correct
80 Correct 69 ms 17668 KB Output is correct
81 Correct 40 ms 12280 KB Output is correct
82 Correct 66 ms 17600 KB Output is correct
83 Correct 65 ms 14528 KB Output is correct
84 Correct 0 ms 300 KB Output is correct
85 Correct 0 ms 340 KB Output is correct
86 Correct 1 ms 300 KB Output is correct
87 Correct 1 ms 340 KB Output is correct
88 Correct 1 ms 468 KB Output is correct
89 Correct 1 ms 468 KB Output is correct
90 Correct 1 ms 468 KB Output is correct
91 Correct 1 ms 468 KB Output is correct
92 Correct 1 ms 468 KB Output is correct
93 Correct 1 ms 340 KB Output is correct
94 Correct 1 ms 340 KB Output is correct
95 Correct 1 ms 432 KB Output is correct
96 Correct 1 ms 340 KB Output is correct
97 Correct 1 ms 436 KB Output is correct
98 Correct 1 ms 340 KB Output is correct
99 Correct 1 ms 468 KB Output is correct
100 Correct 1 ms 432 KB Output is correct
101 Correct 6 ms 2004 KB Output is correct
102 Correct 6 ms 1620 KB Output is correct
103 Correct 109 ms 17700 KB Output is correct
104 Correct 88 ms 17580 KB Output is correct
105 Correct 76 ms 14892 KB Output is correct
106 Correct 69 ms 17700 KB Output is correct
107 Correct 60 ms 13004 KB Output is correct
108 Correct 70 ms 13352 KB Output is correct
109 Correct 42 ms 12668 KB Output is correct
110 Correct 33 ms 12192 KB Output is correct
111 Correct 71 ms 16928 KB Output is correct
112 Correct 83 ms 16212 KB Output is correct
113 Correct 64 ms 12956 KB Output is correct
114 Correct 63 ms 17600 KB Output is correct
115 Correct 65 ms 17600 KB Output is correct