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답안 #935186

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
935186 2024-02-28T19:06:03 Z MinaRagy06 벽 칠하기 (APIO20_paint) C++17
51 / 100
 1210 ms 83888 KB 
#include <bits/stdc++.h>
#ifdef MINA
#include "grader.cpp"
#endif
#include "paint.h"
using namespace std;
#define ll long long

const int M = 50'005;
vector<int> gud[2 * M + 5];
int minimumInstructions(int n, int m, int K, vector<int> a, vector<int> sz, vector<vector<int>> b) {
	vector<int> col[K];
	for (int i = 0; i < m; i++) {
		for (auto j : b[i]) {
			col[j].push_back(i);
		}
	}
	vector<int> diff[n];
	for (int i = 0; i < n; i++) {
		for (auto j : col[a[i]]) {
			gud[i - j + M].push_back(i);
// 			diff[i].push_back(i - j);
		}
// 		sort(diff[i].begin(), diff[i].end());
	}
	int dp[n + 1]{};
	dp[n] = 0;
	for (int i = n - 1; i > n - m; i--) {
		dp[i] = 1e9;
	}
	for (int i = n - m; i >= 0; i--) {
		dp[i] = 1e9;
		bool ok = 0;
		for (auto j : col[a[i]]) {
			bool ok2 = 1;
			int st = i + m - j;
			int s = lower_bound(gud[i - j + M].begin(), gud[i - j + M].end(), i) - gud[i - j + M].begin();
			int e = lower_bound(gud[i - j + M].begin(), gud[i - j + M].end(), st - 1) - gud[i - j + M].begin();
			ok2 &= e - s + 1 == st - i;
			ok2 &= e < gud[i - j + M].size() && gud[i - j + M][e] == st - 1 && gud[i - j + M][s] == i;
			if (st <= i + m - 1) {
				s = lower_bound(gud[st + M].begin(), gud[st + M].end(), st) - gud[st + M].begin();
				e = lower_bound(gud[st + M].begin(), gud[st + M].end(), i + m - 1) - gud[st + M].begin();
				ok2 &= e - s + 1 == i + m - st;
				ok2 &= e < gud[st + M].size() && gud[st + M][e] == i + m - 1 && gud[st + M][s] == st;
			}
// 			for (int k = i; k < st; k++) {
// 				gud &= binary_search(diff[k].begin(), diff[k].end(), i - j);
// 			}
// 			for (int k = st; k < i + m; k++) {
// 				gud &= binary_search(diff[k].begin(), diff[k].end(), st);
// 			}
			ok |= ok2;
		}
		if (ok) {
			for (int j = i + 1; j <= i + m; j++) {
				dp[i] = min(dp[i], dp[j] + 1);
			}
		}
	}
	if (dp[0] >= (int)1e9) return -1;
	return dp[0];
}

Compilation message

paint.cpp: In function 'int minimumInstructions(int, int, int, std::vector<int>, std::vector<int>, std::vector<std::vector<int> >)':
paint.cpp:40:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   40 |    ok2 &= e < gud[i - j + M].size() && gud[i - j + M][e] == st - 1 && gud[i - j + M][s] == i;
      |           ~~^~~~~~~~~~~~~~~~~~~~~~~
paint.cpp:45:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   45 |     ok2 &= e < gud[st + M].size() && gud[st + M][e] == i + m - 1 && gud[st + M][s] == st;
      |            ~~^~~~~~~~~~~~~~~~~~~~

Subtask #1
0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 2 ms 5208 KB Output is correct
14 Correct 2 ms 4956 KB Output is correct
15 Correct 2 ms 4956 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 2 ms 4956 KB Output is correct
18 Correct 2 ms 5208 KB Output is correct
19 Correct 2 ms 4956 KB Output is correct
20 Correct 2 ms 4956 KB Output is correct
21 Correct 2 ms 5068 KB Output is correct
22 Correct 15 ms 8852 KB Output is correct
23 Correct 15 ms 9052 KB Output is correct
24 Correct 16 ms 9052 KB Output is correct
25 Correct 3 ms 3932 KB Output is correct
26 Correct 4 ms 3928 KB Output is correct
27 Correct 4 ms 3932 KB Output is correct
28 Correct 4 ms 3676 KB Output is correct
29 Correct 4 ms 3676 KB Output is correct
30 Correct 4 ms 3676 KB Output is correct
31 Correct 47 ms 6808 KB Output is correct
32 Correct 45 ms 6748 KB Output is correct
33 Correct 45 ms 6844 KB Output is correct
34 Correct 45 ms 6748 KB Output is correct
35 Correct 45 ms 6744 KB Output is correct
36 Correct 48 ms 6840 KB Output is correct
37 Correct 26 ms 10304 KB Output is correct
38 Correct 24 ms 10076 KB Output is correct
39 Correct 22 ms 10312 KB Output is correct
40 Runtime error 15 ms 14172 KB Execution killed with signal 11
41 Halted 0 ms 0 KB -

Subtask #2
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 2 ms 5208 KB Output is correct
14 Correct 2 ms 4956 KB Output is correct
15 Correct 2 ms 4956 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 2 ms 4956 KB Output is correct
18 Correct 2 ms 5208 KB Output is correct
19 Correct 2 ms 4956 KB Output is correct
20 Correct 2 ms 4956 KB Output is correct
21 Correct 2 ms 5068 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 2 ms 2652 KB Output is correct
24 Correct 1 ms 2652 KB Output is correct
25 Correct 1 ms 2652 KB Output is correct
26 Correct 1 ms 2652 KB Output is correct
27 Correct 1 ms 2652 KB Output is correct
28 Correct 1 ms 2652 KB Output is correct
29 Correct 1 ms 2904 KB Output is correct
30 Correct 1 ms 2648 KB Output is correct
31 Correct 1 ms 2652 KB Output is correct
32 Correct 1 ms 2652 KB Output is correct
33 Correct 2 ms 4700 KB Output is correct
34 Correct 2 ms 4188 KB Output is correct
35 Correct 2 ms 3928 KB Output is correct
36 Correct 2 ms 4956 KB Output is correct
37 Correct 2 ms 4584 KB Output is correct
38 Correct 2 ms 4700 KB Output is correct
39 Correct 1 ms 2652 KB Output is correct
40 Correct 2 ms 4444 KB Output is correct
41 Correct 1 ms 2652 KB Output is correct
42 Correct 2 ms 4956 KB Output is correct
43 Correct 2 ms 4956 KB Output is correct
44 Correct 1 ms 2652 KB Output is correct
45 Correct 1 ms 2652 KB Output is correct
46 Correct 2 ms 2652 KB Output is correct
47 Correct 2 ms 2652 KB Output is correct
48 Correct 1 ms 2652 KB Output is correct
49 Correct 2 ms 2652 KB Output is correct
50 Correct 2 ms 4956 KB Output is correct
51 Correct 2 ms 4956 KB Output is correct
52 Correct 2 ms 4956 KB Output is correct
53 Correct 2 ms 4956 KB Output is correct
54 Correct 2 ms 4956 KB Output is correct
55 Correct 2 ms 4956 KB Output is correct
56 Correct 2 ms 4956 KB Output is correct
57 Correct 1 ms 2652 KB Output is correct
58 Correct 2 ms 4956 KB Output is correct
59 Correct 1 ms 2652 KB Output is correct
60 Correct 2 ms 4956 KB Output is correct
61 Correct 1 ms 2652 KB Output is correct

Subtask #3
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 2 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 2 ms 5208 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 2 ms 4956 KB Output is correct
18 Correct 2 ms 4956 KB Output is correct
19 Correct 2 ms 4956 KB Output is correct
20 Correct 2 ms 5208 KB Output is correct
21 Correct 2 ms 4956 KB Output is correct
22 Correct 2 ms 4956 KB Output is correct
23 Correct 2 ms 5068 KB Output is correct
24 Correct 15 ms 8852 KB Output is correct
25 Correct 15 ms 9052 KB Output is correct
26 Correct 16 ms 9052 KB Output is correct
27 Correct 1 ms 2652 KB Output is correct
28 Correct 1 ms 2652 KB Output is correct
29 Correct 1 ms 2652 KB Output is correct
30 Correct 1 ms 2652 KB Output is correct
31 Correct 1 ms 2652 KB Output is correct
32 Correct 1 ms 2904 KB Output is correct
33 Correct 1 ms 2648 KB Output is correct
34 Correct 1 ms 2652 KB Output is correct
35 Correct 1 ms 2652 KB Output is correct
36 Correct 2 ms 4700 KB Output is correct
37 Correct 2 ms 4188 KB Output is correct
38 Correct 2 ms 3928 KB Output is correct
39 Correct 2 ms 4956 KB Output is correct
40 Correct 2 ms 4584 KB Output is correct
41 Correct 2 ms 4700 KB Output is correct
42 Correct 1 ms 2652 KB Output is correct
43 Correct 2 ms 4444 KB Output is correct
44 Correct 1 ms 2652 KB Output is correct
45 Correct 2 ms 4956 KB Output is correct
46 Correct 2 ms 4956 KB Output is correct
47 Correct 1 ms 2652 KB Output is correct
48 Correct 1 ms 2652 KB Output is correct
49 Correct 2 ms 2652 KB Output is correct
50 Correct 2 ms 2652 KB Output is correct
51 Correct 1 ms 2652 KB Output is correct
52 Correct 2 ms 2652 KB Output is correct
53 Correct 2 ms 4956 KB Output is correct
54 Correct 2 ms 4956 KB Output is correct
55 Correct 2 ms 4956 KB Output is correct
56 Correct 2 ms 4956 KB Output is correct
57 Correct 2 ms 4956 KB Output is correct
58 Correct 2 ms 4956 KB Output is correct
59 Correct 2 ms 4956 KB Output is correct
60 Correct 1 ms 2652 KB Output is correct
61 Correct 2 ms 4956 KB Output is correct
62 Correct 1 ms 2652 KB Output is correct
63 Correct 2 ms 4956 KB Output is correct
64 Correct 1 ms 2652 KB Output is correct
65 Correct 2 ms 2908 KB Output is correct
66 Correct 1 ms 2908 KB Output is correct
67 Correct 4 ms 2908 KB Output is correct
68 Correct 2 ms 2908 KB Output is correct
69 Correct 3 ms 2908 KB Output is correct
70 Correct 4 ms 4956 KB Output is correct
71 Correct 5 ms 4444 KB Output is correct
72 Correct 4 ms 4188 KB Output is correct
73 Correct 4 ms 4444 KB Output is correct
74 Correct 4 ms 4700 KB Output is correct
75 Correct 3 ms 5212 KB Output is correct
76 Correct 16 ms 6852 KB Output is correct
77 Correct 16 ms 7772 KB Output is correct
78 Correct 20 ms 8516 KB Output is correct
79 Correct 6 ms 3164 KB Output is correct
80 Correct 7 ms 3164 KB Output is correct
81 Correct 5 ms 3164 KB Output is correct
82 Correct 5 ms 3164 KB Output is correct
83 Correct 5 ms 3164 KB Output is correct
84 Correct 4 ms 5224 KB Output is correct
85 Correct 4 ms 5212 KB Output is correct
86 Correct 4 ms 5212 KB Output is correct
87 Correct 5 ms 5212 KB Output is correct
88 Correct 4 ms 5208 KB Output is correct
89 Correct 4 ms 5208 KB Output is correct
90 Correct 22 ms 8792 KB Output is correct
91 Correct 22 ms 8796 KB Output is correct
92 Correct 21 ms 8796 KB Output is correct

Subtask #4
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 2 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 2 ms 5208 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 2 ms 4956 KB Output is correct
18 Correct 2 ms 4956 KB Output is correct
19 Correct 2 ms 4956 KB Output is correct
20 Correct 2 ms 5208 KB Output is correct
21 Correct 2 ms 4956 KB Output is correct
22 Correct 2 ms 4956 KB Output is correct
23 Correct 2 ms 5068 KB Output is correct
24 Correct 15 ms 8852 KB Output is correct
25 Correct 15 ms 9052 KB Output is correct
26 Correct 16 ms 9052 KB Output is correct
27 Correct 3 ms 3932 KB Output is correct
28 Correct 4 ms 3928 KB Output is correct
29 Correct 4 ms 3932 KB Output is correct
30 Correct 4 ms 3676 KB Output is correct
31 Correct 4 ms 3676 KB Output is correct
32 Correct 4 ms 3676 KB Output is correct
33 Correct 47 ms 6808 KB Output is correct
34 Correct 45 ms 6748 KB Output is correct
35 Correct 45 ms 6844 KB Output is correct
36 Correct 45 ms 6748 KB Output is correct
37 Correct 45 ms 6744 KB Output is correct
38 Correct 48 ms 6840 KB Output is correct
39 Correct 26 ms 10304 KB Output is correct
40 Correct 24 ms 10076 KB Output is correct
41 Correct 22 ms 10312 KB Output is correct
42 Correct 1 ms 2652 KB Output is correct
43 Correct 1 ms 2652 KB Output is correct
44 Correct 1 ms 2652 KB Output is correct
45 Correct 1 ms 2652 KB Output is correct
46 Correct 1 ms 2652 KB Output is correct
47 Correct 1 ms 2904 KB Output is correct
48 Correct 1 ms 2648 KB Output is correct
49 Correct 1 ms 2652 KB Output is correct
50 Correct 1 ms 2652 KB Output is correct
51 Correct 2 ms 4700 KB Output is correct
52 Correct 2 ms 4188 KB Output is correct
53 Correct 2 ms 3928 KB Output is correct
54 Correct 2 ms 4956 KB Output is correct
55 Correct 2 ms 4584 KB Output is correct
56 Correct 2 ms 4700 KB Output is correct
57 Correct 1 ms 2652 KB Output is correct
58 Correct 2 ms 4444 KB Output is correct
59 Correct 1 ms 2652 KB Output is correct
60 Correct 2 ms 4956 KB Output is correct
61 Correct 2 ms 4956 KB Output is correct
62 Correct 1 ms 2652 KB Output is correct
63 Correct 1 ms 2652 KB Output is correct
64 Correct 2 ms 2652 KB Output is correct
65 Correct 2 ms 2652 KB Output is correct
66 Correct 1 ms 2652 KB Output is correct
67 Correct 2 ms 2652 KB Output is correct
68 Correct 2 ms 4956 KB Output is correct
69 Correct 2 ms 4956 KB Output is correct
70 Correct 2 ms 4956 KB Output is correct
71 Correct 2 ms 4956 KB Output is correct
72 Correct 2 ms 4956 KB Output is correct
73 Correct 2 ms 4956 KB Output is correct
74 Correct 2 ms 4956 KB Output is correct
75 Correct 1 ms 2652 KB Output is correct
76 Correct 2 ms 4956 KB Output is correct
77 Correct 1 ms 2652 KB Output is correct
78 Correct 2 ms 4956 KB Output is correct
79 Correct 1 ms 2652 KB Output is correct
80 Correct 2 ms 2908 KB Output is correct
81 Correct 1 ms 2908 KB Output is correct
82 Correct 4 ms 2908 KB Output is correct
83 Correct 2 ms 2908 KB Output is correct
84 Correct 3 ms 2908 KB Output is correct
85 Correct 4 ms 4956 KB Output is correct
86 Correct 5 ms 4444 KB Output is correct
87 Correct 4 ms 4188 KB Output is correct
88 Correct 4 ms 4444 KB Output is correct
89 Correct 4 ms 4700 KB Output is correct
90 Correct 3 ms 5212 KB Output is correct
91 Correct 16 ms 6852 KB Output is correct
92 Correct 16 ms 7772 KB Output is correct
93 Correct 20 ms 8516 KB Output is correct
94 Correct 6 ms 3164 KB Output is correct
95 Correct 7 ms 3164 KB Output is correct
96 Correct 5 ms 3164 KB Output is correct
97 Correct 5 ms 3164 KB Output is correct
98 Correct 5 ms 3164 KB Output is correct
99 Correct 4 ms 5224 KB Output is correct
100 Correct 4 ms 5212 KB Output is correct
101 Correct 4 ms 5212 KB Output is correct
102 Correct 5 ms 5212 KB Output is correct
103 Correct 4 ms 5208 KB Output is correct
104 Correct 4 ms 5208 KB Output is correct
105 Correct 22 ms 8792 KB Output is correct
106 Correct 22 ms 8796 KB Output is correct
107 Correct 21 ms 8796 KB Output is correct
108 Correct 4 ms 3928 KB Output is correct
109 Correct 837 ms 61492 KB Output is correct
110 Correct 627 ms 28340 KB Output is correct
111 Correct 450 ms 26496 KB Output is correct
112 Correct 514 ms 31832 KB Output is correct
113 Correct 343 ms 18528 KB Output is correct
114 Correct 25 ms 7160 KB Output is correct
115 Correct 15 ms 7004 KB Output is correct
116 Correct 32 ms 7516 KB Output is correct
117 Correct 24 ms 6492 KB Output is correct
118 Correct 22 ms 7412 KB Output is correct
119 Correct 32 ms 7020 KB Output is correct
120 Correct 17 ms 7916 KB Output is correct
121 Correct 26 ms 4184 KB Output is correct
122 Correct 20 ms 8028 KB Output is correct
123 Correct 12 ms 4188 KB Output is correct
124 Correct 23 ms 9564 KB Output is correct
125 Correct 12 ms 4956 KB Output is correct
126 Correct 8 ms 5468 KB Output is correct
127 Correct 10 ms 6488 KB Output is correct
128 Correct 7 ms 5720 KB Output is correct
129 Correct 9 ms 5376 KB Output is correct
130 Correct 4 ms 3932 KB Output is correct
131 Correct 1210 ms 83888 KB Output is correct
132 Correct 1203 ms 44420 KB Output is correct
133 Correct 941 ms 44368 KB Output is correct
134 Correct 798 ms 43912 KB Output is correct
135 Correct 690 ms 43092 KB Output is correct
136 Correct 57 ms 8024 KB Output is correct
137 Correct 58 ms 8028 KB Output is correct
138 Correct 56 ms 8024 KB Output is correct
139 Correct 56 ms 8028 KB Output is correct
140 Correct 56 ms 8024 KB Output is correct
141 Correct 56 ms 8024 KB Output is correct
142 Correct 28 ms 11088 KB Output is correct
143 Correct 46 ms 5464 KB Output is correct
144 Correct 29 ms 11208 KB Output is correct
145 Correct 48 ms 5348 KB Output is correct
146 Correct 29 ms 11092 KB Output is correct
147 Correct 51 ms 5212 KB Output is correct
148 Correct 12 ms 7260 KB Output is correct
149 Correct 11 ms 7264 KB Output is correct
150 Correct 11 ms 7200 KB Output is correct
151 Correct 11 ms 7000 KB Output is correct

Subtask #5
0 / 37.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 2 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 2 ms 5208 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 2 ms 4956 KB Output is correct
18 Correct 2 ms 4956 KB Output is correct
19 Correct 2 ms 4956 KB Output is correct
20 Correct 2 ms 5208 KB Output is correct
21 Correct 2 ms 4956 KB Output is correct
22 Correct 2 ms 4956 KB Output is correct
23 Correct 2 ms 5068 KB Output is correct
24 Correct 15 ms 8852 KB Output is correct
25 Correct 15 ms 9052 KB Output is correct
26 Correct 16 ms 9052 KB Output is correct
27 Correct 3 ms 3932 KB Output is correct
28 Correct 4 ms 3928 KB Output is correct
29 Correct 4 ms 3932 KB Output is correct
30 Correct 4 ms 3676 KB Output is correct
31 Correct 4 ms 3676 KB Output is correct
32 Correct 4 ms 3676 KB Output is correct
33 Correct 47 ms 6808 KB Output is correct
34 Correct 45 ms 6748 KB Output is correct
35 Correct 45 ms 6844 KB Output is correct
36 Correct 45 ms 6748 KB Output is correct
37 Correct 45 ms 6744 KB Output is correct
38 Correct 48 ms 6840 KB Output is correct
39 Correct 26 ms 10304 KB Output is correct
40 Correct 24 ms 10076 KB Output is correct
41 Correct 22 ms 10312 KB Output is correct
42 Runtime error 15 ms 14172 KB Execution killed with signal 11
43 Halted 0 ms 0 KB -