Submission #820022

# Submission time Handle Problem Language Result Execution time Memory
820022 2023-08-10T17:56:23 Z nemethm Traffic (IOI10_traffic) C++17
100 / 100
1008 ms 170884 KB
#include "traffic.h"
#include <bits/stdc++.h>

using namespace std;

using ll = long long int;

vector<int> g[1000100];

ll subsum[1000100] = {0};
int ans = 0; ll optimal = numeric_limits<ll>::max();

void dfs(int node, int prev = -1){
   for(auto i : g[node]){
      if(i != prev){
         dfs(i, node);
         subsum[node] += subsum[i];
      }
   }
}

void solve(int node, int prev = -1){
   ll maxsubtree = subsum[0] - subsum[node];
   for(auto i : g[node]){
      if(i != prev){
         maxsubtree = max(maxsubtree, subsum[i]);
         solve(i, node);
      }
   }
   if(maxsubtree < optimal){
      optimal = maxsubtree;
      ans = node;
   }
}


int LocateCentre(int N, int pp[], int S[], int D[]) {
   for(int i = 0; i < N - 1; ++i){
      g[S[i]].push_back(D[i]);
      g[D[i]].push_back(S[i]);
      subsum[i] = pp[i];
   }
   subsum[N - 1] = pp[N - 1];
   dfs(0);
   solve(0);
   return ans;
}
# Verdict Execution time Memory Grader output
1 Correct 11 ms 23820 KB Output is correct
2 Correct 10 ms 23804 KB Output is correct
3 Correct 12 ms 23804 KB Output is correct
4 Correct 11 ms 23800 KB Output is correct
5 Correct 10 ms 23764 KB Output is correct
6 Correct 11 ms 23804 KB Output is correct
7 Correct 12 ms 23764 KB Output is correct
8 Correct 11 ms 23796 KB Output is correct
9 Correct 13 ms 23828 KB Output is correct
10 Correct 13 ms 23764 KB Output is correct
11 Correct 11 ms 23748 KB Output is correct
12 Correct 13 ms 23804 KB Output is correct
13 Correct 11 ms 23744 KB Output is correct
14 Correct 11 ms 23808 KB Output is correct
15 Correct 11 ms 23764 KB Output is correct
16 Correct 11 ms 23764 KB Output is correct
17 Correct 11 ms 23760 KB Output is correct
18 Correct 11 ms 23764 KB Output is correct
19 Correct 11 ms 23764 KB Output is correct
20 Correct 11 ms 23800 KB Output is correct
21 Correct 12 ms 23892 KB Output is correct
22 Correct 12 ms 23764 KB Output is correct
23 Correct 11 ms 23812 KB Output is correct
24 Correct 11 ms 23764 KB Output is correct
25 Correct 11 ms 23804 KB Output is correct
26 Correct 12 ms 23756 KB Output is correct
27 Correct 11 ms 23748 KB Output is correct
28 Correct 11 ms 23764 KB Output is correct
29 Correct 13 ms 23840 KB Output is correct
30 Correct 13 ms 23764 KB Output is correct
31 Correct 12 ms 23816 KB Output is correct
32 Correct 11 ms 23888 KB Output is correct
33 Correct 12 ms 23892 KB Output is correct
34 Correct 11 ms 23816 KB Output is correct
35 Correct 14 ms 23892 KB Output is correct
36 Correct 12 ms 23816 KB Output is correct
37 Correct 12 ms 23816 KB Output is correct
38 Correct 11 ms 23880 KB Output is correct
39 Correct 11 ms 23944 KB Output is correct
40 Correct 12 ms 23844 KB Output is correct
41 Correct 11 ms 23840 KB Output is correct
42 Correct 14 ms 23948 KB Output is correct
43 Correct 11 ms 23736 KB Output is correct
44 Correct 11 ms 23764 KB Output is correct
45 Correct 11 ms 23728 KB Output is correct
46 Correct 11 ms 23812 KB Output is correct
47 Correct 13 ms 23800 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 23820 KB Output is correct
2 Correct 10 ms 23804 KB Output is correct
3 Correct 12 ms 23804 KB Output is correct
4 Correct 11 ms 23800 KB Output is correct
5 Correct 10 ms 23764 KB Output is correct
6 Correct 11 ms 23804 KB Output is correct
7 Correct 12 ms 23764 KB Output is correct
8 Correct 11 ms 23796 KB Output is correct
9 Correct 13 ms 23828 KB Output is correct
10 Correct 13 ms 23764 KB Output is correct
11 Correct 11 ms 23748 KB Output is correct
12 Correct 13 ms 23804 KB Output is correct
13 Correct 11 ms 23744 KB Output is correct
14 Correct 11 ms 23808 KB Output is correct
15 Correct 11 ms 23764 KB Output is correct
16 Correct 11 ms 23764 KB Output is correct
17 Correct 11 ms 23760 KB Output is correct
18 Correct 11 ms 23764 KB Output is correct
19 Correct 11 ms 23764 KB Output is correct
20 Correct 11 ms 23800 KB Output is correct
21 Correct 12 ms 23892 KB Output is correct
22 Correct 12 ms 23764 KB Output is correct
23 Correct 11 ms 23812 KB Output is correct
24 Correct 11 ms 23764 KB Output is correct
25 Correct 11 ms 23804 KB Output is correct
26 Correct 12 ms 23756 KB Output is correct
27 Correct 11 ms 23748 KB Output is correct
28 Correct 11 ms 23764 KB Output is correct
29 Correct 13 ms 23840 KB Output is correct
30 Correct 13 ms 23764 KB Output is correct
31 Correct 12 ms 23816 KB Output is correct
32 Correct 11 ms 23888 KB Output is correct
33 Correct 12 ms 23892 KB Output is correct
34 Correct 11 ms 23816 KB Output is correct
35 Correct 14 ms 23892 KB Output is correct
36 Correct 12 ms 23816 KB Output is correct
37 Correct 12 ms 23816 KB Output is correct
38 Correct 11 ms 23880 KB Output is correct
39 Correct 11 ms 23944 KB Output is correct
40 Correct 12 ms 23844 KB Output is correct
41 Correct 11 ms 23840 KB Output is correct
42 Correct 14 ms 23948 KB Output is correct
43 Correct 11 ms 23736 KB Output is correct
44 Correct 11 ms 23764 KB Output is correct
45 Correct 11 ms 23728 KB Output is correct
46 Correct 11 ms 23812 KB Output is correct
47 Correct 13 ms 23800 KB Output is correct
48 Correct 11 ms 23764 KB Output is correct
49 Correct 11 ms 23820 KB Output is correct
50 Correct 11 ms 23748 KB Output is correct
51 Correct 11 ms 23804 KB Output is correct
52 Correct 11 ms 23764 KB Output is correct
53 Correct 12 ms 23764 KB Output is correct
54 Correct 11 ms 23776 KB Output is correct
55 Correct 11 ms 23808 KB Output is correct
56 Correct 13 ms 23768 KB Output is correct
57 Correct 11 ms 23784 KB Output is correct
58 Correct 11 ms 23804 KB Output is correct
59 Correct 12 ms 23804 KB Output is correct
60 Correct 11 ms 23764 KB Output is correct
61 Correct 13 ms 23764 KB Output is correct
62 Correct 13 ms 23892 KB Output is correct
63 Correct 11 ms 23764 KB Output is correct
64 Correct 12 ms 23764 KB Output is correct
65 Correct 12 ms 23764 KB Output is correct
66 Correct 11 ms 23808 KB Output is correct
67 Correct 11 ms 23728 KB Output is correct
68 Correct 28 ms 31032 KB Output is correct
69 Correct 43 ms 38348 KB Output is correct
70 Correct 11 ms 23800 KB Output is correct
71 Correct 78 ms 45768 KB Output is correct
72 Correct 82 ms 53044 KB Output is correct
73 Correct 97 ms 60364 KB Output is correct
74 Correct 109 ms 67856 KB Output is correct
75 Correct 129 ms 75188 KB Output is correct
76 Correct 142 ms 82504 KB Output is correct
77 Correct 166 ms 90016 KB Output is correct
78 Correct 179 ms 97216 KB Output is correct
79 Correct 192 ms 104652 KB Output is correct
80 Correct 217 ms 112108 KB Output is correct
81 Correct 11 ms 23824 KB Output is correct
82 Correct 240 ms 119348 KB Output is correct
83 Correct 277 ms 126668 KB Output is correct
84 Correct 283 ms 134024 KB Output is correct
85 Correct 286 ms 141388 KB Output is correct
86 Correct 317 ms 148772 KB Output is correct
87 Correct 338 ms 156004 KB Output is correct
88 Correct 351 ms 163364 KB Output is correct
89 Correct 392 ms 170884 KB Output is correct
90 Correct 12 ms 23764 KB Output is correct
91 Correct 13 ms 23744 KB Output is correct
92 Correct 12 ms 23808 KB Output is correct
93 Correct 12 ms 23800 KB Output is correct
94 Correct 12 ms 23792 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 23820 KB Output is correct
2 Correct 10 ms 23804 KB Output is correct
3 Correct 12 ms 23804 KB Output is correct
4 Correct 11 ms 23800 KB Output is correct
5 Correct 10 ms 23764 KB Output is correct
6 Correct 11 ms 23804 KB Output is correct
7 Correct 12 ms 23764 KB Output is correct
8 Correct 11 ms 23796 KB Output is correct
9 Correct 13 ms 23828 KB Output is correct
10 Correct 13 ms 23764 KB Output is correct
11 Correct 11 ms 23748 KB Output is correct
12 Correct 13 ms 23804 KB Output is correct
13 Correct 11 ms 23744 KB Output is correct
14 Correct 11 ms 23808 KB Output is correct
15 Correct 11 ms 23764 KB Output is correct
16 Correct 11 ms 23764 KB Output is correct
17 Correct 11 ms 23760 KB Output is correct
18 Correct 11 ms 23764 KB Output is correct
19 Correct 11 ms 23764 KB Output is correct
20 Correct 11 ms 23800 KB Output is correct
21 Correct 12 ms 23892 KB Output is correct
22 Correct 12 ms 23764 KB Output is correct
23 Correct 11 ms 23812 KB Output is correct
24 Correct 11 ms 23764 KB Output is correct
25 Correct 11 ms 23804 KB Output is correct
26 Correct 12 ms 23756 KB Output is correct
27 Correct 11 ms 23748 KB Output is correct
28 Correct 11 ms 23764 KB Output is correct
29 Correct 13 ms 23840 KB Output is correct
30 Correct 13 ms 23764 KB Output is correct
31 Correct 12 ms 23816 KB Output is correct
32 Correct 11 ms 23888 KB Output is correct
33 Correct 12 ms 23892 KB Output is correct
34 Correct 11 ms 23816 KB Output is correct
35 Correct 14 ms 23892 KB Output is correct
36 Correct 12 ms 23816 KB Output is correct
37 Correct 12 ms 23816 KB Output is correct
38 Correct 11 ms 23880 KB Output is correct
39 Correct 11 ms 23944 KB Output is correct
40 Correct 12 ms 23844 KB Output is correct
41 Correct 11 ms 23840 KB Output is correct
42 Correct 14 ms 23948 KB Output is correct
43 Correct 11 ms 23736 KB Output is correct
44 Correct 11 ms 23764 KB Output is correct
45 Correct 11 ms 23728 KB Output is correct
46 Correct 11 ms 23812 KB Output is correct
47 Correct 13 ms 23800 KB Output is correct
48 Correct 14 ms 23764 KB Output is correct
49 Correct 13 ms 23768 KB Output is correct
50 Correct 13 ms 23892 KB Output is correct
51 Correct 13 ms 23764 KB Output is correct
52 Correct 12 ms 23764 KB Output is correct
53 Correct 13 ms 23764 KB Output is correct
54 Correct 12 ms 23796 KB Output is correct
55 Correct 13 ms 23764 KB Output is correct
56 Correct 13 ms 23824 KB Output is correct
57 Correct 13 ms 23808 KB Output is correct
58 Correct 12 ms 23748 KB Output is correct
59 Correct 13 ms 23800 KB Output is correct
60 Correct 12 ms 23732 KB Output is correct
61 Correct 12 ms 23804 KB Output is correct
62 Correct 12 ms 23764 KB Output is correct
63 Correct 13 ms 23720 KB Output is correct
64 Correct 13 ms 23736 KB Output is correct
65 Correct 13 ms 23804 KB Output is correct
66 Correct 12 ms 23764 KB Output is correct
67 Correct 12 ms 23804 KB Output is correct
68 Correct 13 ms 23764 KB Output is correct
69 Correct 14 ms 23764 KB Output is correct
70 Correct 13 ms 23756 KB Output is correct
71 Correct 13 ms 23764 KB Output is correct
72 Correct 14 ms 23768 KB Output is correct
73 Correct 13 ms 23788 KB Output is correct
74 Correct 13 ms 23776 KB Output is correct
75 Correct 12 ms 23760 KB Output is correct
76 Correct 12 ms 23764 KB Output is correct
77 Correct 12 ms 23728 KB Output is correct
78 Correct 12 ms 23808 KB Output is correct
79 Correct 13 ms 23812 KB Output is correct
80 Correct 12 ms 23844 KB Output is correct
81 Correct 12 ms 23764 KB Output is correct
82 Correct 12 ms 23788 KB Output is correct
83 Correct 12 ms 23776 KB Output is correct
84 Correct 13 ms 23824 KB Output is correct
85 Correct 14 ms 23764 KB Output is correct
86 Correct 12 ms 23764 KB Output is correct
87 Correct 13 ms 23804 KB Output is correct
88 Correct 13 ms 23764 KB Output is correct
89 Correct 13 ms 23764 KB Output is correct
90 Correct 12 ms 23820 KB Output is correct
91 Correct 14 ms 23860 KB Output is correct
92 Correct 12 ms 23812 KB Output is correct
93 Correct 15 ms 23832 KB Output is correct
94 Correct 13 ms 23804 KB Output is correct
95 Correct 13 ms 23936 KB Output is correct
96 Correct 12 ms 23764 KB Output is correct
97 Correct 13 ms 23764 KB Output is correct
98 Correct 12 ms 23740 KB Output is correct
99 Correct 12 ms 23748 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 23820 KB Output is correct
2 Correct 10 ms 23804 KB Output is correct
3 Correct 12 ms 23804 KB Output is correct
4 Correct 11 ms 23800 KB Output is correct
5 Correct 10 ms 23764 KB Output is correct
6 Correct 11 ms 23804 KB Output is correct
7 Correct 12 ms 23764 KB Output is correct
8 Correct 11 ms 23796 KB Output is correct
9 Correct 13 ms 23828 KB Output is correct
10 Correct 13 ms 23764 KB Output is correct
11 Correct 11 ms 23748 KB Output is correct
12 Correct 13 ms 23804 KB Output is correct
13 Correct 11 ms 23744 KB Output is correct
14 Correct 11 ms 23808 KB Output is correct
15 Correct 11 ms 23764 KB Output is correct
16 Correct 11 ms 23764 KB Output is correct
17 Correct 11 ms 23760 KB Output is correct
18 Correct 11 ms 23764 KB Output is correct
19 Correct 11 ms 23764 KB Output is correct
20 Correct 11 ms 23800 KB Output is correct
21 Correct 12 ms 23892 KB Output is correct
22 Correct 12 ms 23764 KB Output is correct
23 Correct 11 ms 23812 KB Output is correct
24 Correct 11 ms 23764 KB Output is correct
25 Correct 11 ms 23804 KB Output is correct
26 Correct 12 ms 23756 KB Output is correct
27 Correct 11 ms 23748 KB Output is correct
28 Correct 11 ms 23764 KB Output is correct
29 Correct 13 ms 23840 KB Output is correct
30 Correct 13 ms 23764 KB Output is correct
31 Correct 12 ms 23816 KB Output is correct
32 Correct 11 ms 23888 KB Output is correct
33 Correct 12 ms 23892 KB Output is correct
34 Correct 11 ms 23816 KB Output is correct
35 Correct 14 ms 23892 KB Output is correct
36 Correct 12 ms 23816 KB Output is correct
37 Correct 12 ms 23816 KB Output is correct
38 Correct 11 ms 23880 KB Output is correct
39 Correct 11 ms 23944 KB Output is correct
40 Correct 12 ms 23844 KB Output is correct
41 Correct 11 ms 23840 KB Output is correct
42 Correct 14 ms 23948 KB Output is correct
43 Correct 11 ms 23736 KB Output is correct
44 Correct 11 ms 23764 KB Output is correct
45 Correct 11 ms 23728 KB Output is correct
46 Correct 11 ms 23812 KB Output is correct
47 Correct 13 ms 23800 KB Output is correct
48 Correct 11 ms 23764 KB Output is correct
49 Correct 11 ms 23820 KB Output is correct
50 Correct 11 ms 23748 KB Output is correct
51 Correct 11 ms 23804 KB Output is correct
52 Correct 11 ms 23764 KB Output is correct
53 Correct 12 ms 23764 KB Output is correct
54 Correct 11 ms 23776 KB Output is correct
55 Correct 11 ms 23808 KB Output is correct
56 Correct 13 ms 23768 KB Output is correct
57 Correct 11 ms 23784 KB Output is correct
58 Correct 11 ms 23804 KB Output is correct
59 Correct 12 ms 23804 KB Output is correct
60 Correct 11 ms 23764 KB Output is correct
61 Correct 13 ms 23764 KB Output is correct
62 Correct 13 ms 23892 KB Output is correct
63 Correct 11 ms 23764 KB Output is correct
64 Correct 12 ms 23764 KB Output is correct
65 Correct 12 ms 23764 KB Output is correct
66 Correct 11 ms 23808 KB Output is correct
67 Correct 11 ms 23728 KB Output is correct
68 Correct 28 ms 31032 KB Output is correct
69 Correct 43 ms 38348 KB Output is correct
70 Correct 11 ms 23800 KB Output is correct
71 Correct 78 ms 45768 KB Output is correct
72 Correct 82 ms 53044 KB Output is correct
73 Correct 97 ms 60364 KB Output is correct
74 Correct 109 ms 67856 KB Output is correct
75 Correct 129 ms 75188 KB Output is correct
76 Correct 142 ms 82504 KB Output is correct
77 Correct 166 ms 90016 KB Output is correct
78 Correct 179 ms 97216 KB Output is correct
79 Correct 192 ms 104652 KB Output is correct
80 Correct 217 ms 112108 KB Output is correct
81 Correct 11 ms 23824 KB Output is correct
82 Correct 240 ms 119348 KB Output is correct
83 Correct 277 ms 126668 KB Output is correct
84 Correct 283 ms 134024 KB Output is correct
85 Correct 286 ms 141388 KB Output is correct
86 Correct 317 ms 148772 KB Output is correct
87 Correct 338 ms 156004 KB Output is correct
88 Correct 351 ms 163364 KB Output is correct
89 Correct 392 ms 170884 KB Output is correct
90 Correct 12 ms 23764 KB Output is correct
91 Correct 13 ms 23744 KB Output is correct
92 Correct 12 ms 23808 KB Output is correct
93 Correct 12 ms 23800 KB Output is correct
94 Correct 12 ms 23792 KB Output is correct
95 Correct 14 ms 23764 KB Output is correct
96 Correct 13 ms 23768 KB Output is correct
97 Correct 13 ms 23892 KB Output is correct
98 Correct 13 ms 23764 KB Output is correct
99 Correct 12 ms 23764 KB Output is correct
100 Correct 13 ms 23764 KB Output is correct
101 Correct 12 ms 23796 KB Output is correct
102 Correct 13 ms 23764 KB Output is correct
103 Correct 13 ms 23824 KB Output is correct
104 Correct 13 ms 23808 KB Output is correct
105 Correct 12 ms 23748 KB Output is correct
106 Correct 13 ms 23800 KB Output is correct
107 Correct 12 ms 23732 KB Output is correct
108 Correct 12 ms 23804 KB Output is correct
109 Correct 12 ms 23764 KB Output is correct
110 Correct 13 ms 23720 KB Output is correct
111 Correct 13 ms 23736 KB Output is correct
112 Correct 13 ms 23804 KB Output is correct
113 Correct 12 ms 23764 KB Output is correct
114 Correct 12 ms 23804 KB Output is correct
115 Correct 13 ms 23764 KB Output is correct
116 Correct 14 ms 23764 KB Output is correct
117 Correct 13 ms 23756 KB Output is correct
118 Correct 13 ms 23764 KB Output is correct
119 Correct 14 ms 23768 KB Output is correct
120 Correct 13 ms 23788 KB Output is correct
121 Correct 13 ms 23776 KB Output is correct
122 Correct 12 ms 23760 KB Output is correct
123 Correct 12 ms 23764 KB Output is correct
124 Correct 12 ms 23728 KB Output is correct
125 Correct 12 ms 23808 KB Output is correct
126 Correct 13 ms 23812 KB Output is correct
127 Correct 12 ms 23844 KB Output is correct
128 Correct 12 ms 23764 KB Output is correct
129 Correct 12 ms 23788 KB Output is correct
130 Correct 12 ms 23776 KB Output is correct
131 Correct 13 ms 23824 KB Output is correct
132 Correct 14 ms 23764 KB Output is correct
133 Correct 12 ms 23764 KB Output is correct
134 Correct 13 ms 23804 KB Output is correct
135 Correct 13 ms 23764 KB Output is correct
136 Correct 13 ms 23764 KB Output is correct
137 Correct 12 ms 23820 KB Output is correct
138 Correct 14 ms 23860 KB Output is correct
139 Correct 12 ms 23812 KB Output is correct
140 Correct 15 ms 23832 KB Output is correct
141 Correct 13 ms 23804 KB Output is correct
142 Correct 13 ms 23936 KB Output is correct
143 Correct 12 ms 23764 KB Output is correct
144 Correct 13 ms 23764 KB Output is correct
145 Correct 12 ms 23740 KB Output is correct
146 Correct 12 ms 23748 KB Output is correct
147 Correct 12 ms 23792 KB Output is correct
148 Correct 15 ms 23928 KB Output is correct
149 Correct 13 ms 23764 KB Output is correct
150 Correct 12 ms 23764 KB Output is correct
151 Correct 12 ms 23704 KB Output is correct
152 Correct 13 ms 23796 KB Output is correct
153 Correct 13 ms 23784 KB Output is correct
154 Correct 13 ms 23764 KB Output is correct
155 Correct 13 ms 23800 KB Output is correct
156 Correct 14 ms 23724 KB Output is correct
157 Correct 12 ms 23764 KB Output is correct
158 Correct 12 ms 23792 KB Output is correct
159 Correct 12 ms 23804 KB Output is correct
160 Correct 13 ms 23748 KB Output is correct
161 Correct 12 ms 23724 KB Output is correct
162 Correct 13 ms 23772 KB Output is correct
163 Correct 12 ms 23700 KB Output is correct
164 Correct 13 ms 23764 KB Output is correct
165 Correct 12 ms 23800 KB Output is correct
166 Correct 12 ms 23764 KB Output is correct
167 Correct 13 ms 23724 KB Output is correct
168 Correct 13 ms 23808 KB Output is correct
169 Correct 12 ms 23700 KB Output is correct
170 Correct 13 ms 23800 KB Output is correct
171 Correct 35 ms 27220 KB Output is correct
172 Correct 67 ms 30540 KB Output is correct
173 Correct 81 ms 34108 KB Output is correct
174 Correct 109 ms 37608 KB Output is correct
175 Correct 235 ms 41300 KB Output is correct
176 Correct 194 ms 44556 KB Output is correct
177 Correct 249 ms 48060 KB Output is correct
178 Correct 351 ms 51548 KB Output is correct
179 Correct 361 ms 55040 KB Output is correct
180 Correct 12 ms 23800 KB Output is correct
181 Correct 428 ms 58428 KB Output is correct
182 Correct 476 ms 61892 KB Output is correct
183 Correct 542 ms 65364 KB Output is correct
184 Correct 580 ms 68900 KB Output is correct
185 Correct 647 ms 72284 KB Output is correct
186 Correct 679 ms 75828 KB Output is correct
187 Correct 740 ms 79152 KB Output is correct
188 Correct 837 ms 82652 KB Output is correct
189 Correct 872 ms 86136 KB Output is correct
190 Correct 938 ms 89536 KB Output is correct
191 Correct 14 ms 23800 KB Output is correct
192 Correct 1008 ms 92940 KB Output is correct
193 Correct 191 ms 95976 KB Output is correct
194 Correct 362 ms 168328 KB Output is correct
195 Correct 12 ms 23764 KB Output is correct
196 Correct 12 ms 23820 KB Output is correct
197 Correct 11 ms 23720 KB Output is correct
198 Correct 12 ms 23800 KB Output is correct