Submission #201914

# Submission time Handle Problem Language Result Execution time Memory
201914 2020-02-12T19:58:44 Z Leonardo_Paes Traffic (IOI10_traffic) C++17
100 / 100
1524 ms 137464 KB
#include "vector"
#include "traffic.h"

const int maxn = 1e6+10;

std::vector<int> grafo[maxn];

int c[maxn], sum[maxn], ans=2000000010, idans;

void dfs(int u, int p=-1){
    sum[u] = c[u];
    for(auto v : grafo[u]){
        if(v == p) continue;
        dfs(v, u);
        sum[u] += sum[v];
    }
}

int diff;

void solve(int u, int p=-1){
    int maxi = 0;
    for(auto v : grafo[u]){
        if(v == p) continue;
        if(maxi < sum[v]) maxi = sum[v];
        solve(v, u);
    }

    diff = sum[0] - sum[u];

    if(maxi < diff) maxi = diff;

    if(ans > maxi){
        ans = maxi;
        idans = u;
    }
}

int LocateCentre(int n, int *p, int *s, int *d){
    for(int i=0; i<n; i++){
        c[i] = p[i];
        if(i+1<n){
            grafo[s[i]].push_back(d[i]);
            grafo[d[i]].push_back(s[i]);
        }
    }

    dfs(0);
    solve(0);

    return idans;
}
# Verdict Execution time Memory Grader output
1 Correct 20 ms 23800 KB Output is correct
2 Correct 20 ms 23800 KB Output is correct
3 Correct 19 ms 23800 KB Output is correct
4 Correct 19 ms 23800 KB Output is correct
5 Correct 19 ms 23800 KB Output is correct
6 Correct 20 ms 23800 KB Output is correct
7 Correct 19 ms 23800 KB Output is correct
8 Correct 19 ms 23800 KB Output is correct
9 Correct 19 ms 23800 KB Output is correct
10 Correct 21 ms 23996 KB Output is correct
11 Correct 20 ms 23800 KB Output is correct
12 Correct 19 ms 23672 KB Output is correct
13 Correct 20 ms 23800 KB Output is correct
14 Correct 20 ms 23800 KB Output is correct
15 Correct 20 ms 23800 KB Output is correct
16 Correct 19 ms 23800 KB Output is correct
17 Correct 20 ms 23800 KB Output is correct
18 Correct 20 ms 23800 KB Output is correct
19 Correct 19 ms 23804 KB Output is correct
20 Correct 20 ms 23800 KB Output is correct
21 Correct 19 ms 23800 KB Output is correct
22 Correct 20 ms 23804 KB Output is correct
23 Correct 19 ms 23800 KB Output is correct
24 Correct 20 ms 23800 KB Output is correct
25 Correct 20 ms 23928 KB Output is correct
26 Correct 20 ms 23800 KB Output is correct
27 Correct 19 ms 23800 KB Output is correct
28 Correct 19 ms 23800 KB Output is correct
29 Correct 19 ms 23928 KB Output is correct
30 Correct 19 ms 23804 KB Output is correct
31 Correct 21 ms 23800 KB Output is correct
32 Correct 19 ms 23928 KB Output is correct
33 Correct 20 ms 23928 KB Output is correct
34 Correct 20 ms 23800 KB Output is correct
35 Correct 20 ms 23928 KB Output is correct
36 Correct 20 ms 23932 KB Output is correct
37 Correct 20 ms 23928 KB Output is correct
38 Correct 20 ms 23928 KB Output is correct
39 Correct 22 ms 23928 KB Output is correct
40 Correct 21 ms 23928 KB Output is correct
41 Correct 20 ms 23928 KB Output is correct
42 Correct 20 ms 23928 KB Output is correct
43 Correct 21 ms 23800 KB Output is correct
44 Correct 20 ms 23800 KB Output is correct
45 Correct 20 ms 23800 KB Output is correct
46 Correct 20 ms 23800 KB Output is correct
47 Correct 19 ms 23804 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 20 ms 23800 KB Output is correct
2 Correct 20 ms 23800 KB Output is correct
3 Correct 19 ms 23800 KB Output is correct
4 Correct 19 ms 23800 KB Output is correct
5 Correct 19 ms 23800 KB Output is correct
6 Correct 20 ms 23800 KB Output is correct
7 Correct 19 ms 23800 KB Output is correct
8 Correct 19 ms 23800 KB Output is correct
9 Correct 19 ms 23800 KB Output is correct
10 Correct 21 ms 23996 KB Output is correct
11 Correct 20 ms 23800 KB Output is correct
12 Correct 19 ms 23672 KB Output is correct
13 Correct 20 ms 23800 KB Output is correct
14 Correct 20 ms 23800 KB Output is correct
15 Correct 20 ms 23800 KB Output is correct
16 Correct 19 ms 23800 KB Output is correct
17 Correct 20 ms 23800 KB Output is correct
18 Correct 20 ms 23800 KB Output is correct
19 Correct 19 ms 23804 KB Output is correct
20 Correct 20 ms 23800 KB Output is correct
21 Correct 19 ms 23800 KB Output is correct
22 Correct 20 ms 23804 KB Output is correct
23 Correct 19 ms 23800 KB Output is correct
24 Correct 20 ms 23800 KB Output is correct
25 Correct 20 ms 23928 KB Output is correct
26 Correct 20 ms 23800 KB Output is correct
27 Correct 19 ms 23800 KB Output is correct
28 Correct 19 ms 23800 KB Output is correct
29 Correct 19 ms 23928 KB Output is correct
30 Correct 19 ms 23804 KB Output is correct
31 Correct 21 ms 23800 KB Output is correct
32 Correct 19 ms 23928 KB Output is correct
33 Correct 20 ms 23928 KB Output is correct
34 Correct 20 ms 23800 KB Output is correct
35 Correct 20 ms 23928 KB Output is correct
36 Correct 20 ms 23932 KB Output is correct
37 Correct 20 ms 23928 KB Output is correct
38 Correct 20 ms 23928 KB Output is correct
39 Correct 22 ms 23928 KB Output is correct
40 Correct 21 ms 23928 KB Output is correct
41 Correct 20 ms 23928 KB Output is correct
42 Correct 20 ms 23928 KB Output is correct
43 Correct 21 ms 23800 KB Output is correct
44 Correct 20 ms 23800 KB Output is correct
45 Correct 20 ms 23800 KB Output is correct
46 Correct 20 ms 23800 KB Output is correct
47 Correct 19 ms 23804 KB Output is correct
48 Correct 21 ms 23800 KB Output is correct
49 Correct 19 ms 23800 KB Output is correct
50 Correct 21 ms 23800 KB Output is correct
51 Correct 21 ms 23800 KB Output is correct
52 Correct 20 ms 23800 KB Output is correct
53 Correct 19 ms 23800 KB Output is correct
54 Correct 20 ms 23800 KB Output is correct
55 Correct 20 ms 23800 KB Output is correct
56 Correct 20 ms 23800 KB Output is correct
57 Correct 19 ms 23804 KB Output is correct
58 Correct 20 ms 23800 KB Output is correct
59 Correct 21 ms 23800 KB Output is correct
60 Correct 20 ms 23800 KB Output is correct
61 Correct 20 ms 23804 KB Output is correct
62 Correct 19 ms 23800 KB Output is correct
63 Correct 20 ms 23800 KB Output is correct
64 Correct 20 ms 23800 KB Output is correct
65 Correct 20 ms 23800 KB Output is correct
66 Correct 20 ms 23928 KB Output is correct
67 Correct 20 ms 23800 KB Output is correct
68 Correct 47 ms 29432 KB Output is correct
69 Correct 73 ms 35192 KB Output is correct
70 Correct 20 ms 23800 KB Output is correct
71 Correct 102 ms 40824 KB Output is correct
72 Correct 136 ms 46456 KB Output is correct
73 Correct 160 ms 52216 KB Output is correct
74 Correct 188 ms 57848 KB Output is correct
75 Correct 221 ms 63608 KB Output is correct
76 Correct 250 ms 69268 KB Output is correct
77 Correct 283 ms 74872 KB Output is correct
78 Correct 309 ms 80504 KB Output is correct
79 Correct 324 ms 86264 KB Output is correct
80 Correct 356 ms 91896 KB Output is correct
81 Correct 20 ms 23800 KB Output is correct
82 Correct 386 ms 97656 KB Output is correct
83 Correct 417 ms 103320 KB Output is correct
84 Correct 445 ms 108920 KB Output is correct
85 Correct 471 ms 114680 KB Output is correct
86 Correct 492 ms 120440 KB Output is correct
87 Correct 546 ms 126044 KB Output is correct
88 Correct 554 ms 131704 KB Output is correct
89 Correct 623 ms 137336 KB Output is correct
90 Correct 23 ms 23800 KB Output is correct
91 Correct 20 ms 23800 KB Output is correct
92 Correct 21 ms 23800 KB Output is correct
93 Correct 22 ms 23800 KB Output is correct
94 Correct 21 ms 23800 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 20 ms 23800 KB Output is correct
2 Correct 20 ms 23800 KB Output is correct
3 Correct 19 ms 23800 KB Output is correct
4 Correct 19 ms 23800 KB Output is correct
5 Correct 19 ms 23800 KB Output is correct
6 Correct 20 ms 23800 KB Output is correct
7 Correct 19 ms 23800 KB Output is correct
8 Correct 19 ms 23800 KB Output is correct
9 Correct 19 ms 23800 KB Output is correct
10 Correct 21 ms 23996 KB Output is correct
11 Correct 20 ms 23800 KB Output is correct
12 Correct 19 ms 23672 KB Output is correct
13 Correct 20 ms 23800 KB Output is correct
14 Correct 20 ms 23800 KB Output is correct
15 Correct 20 ms 23800 KB Output is correct
16 Correct 19 ms 23800 KB Output is correct
17 Correct 20 ms 23800 KB Output is correct
18 Correct 20 ms 23800 KB Output is correct
19 Correct 19 ms 23804 KB Output is correct
20 Correct 20 ms 23800 KB Output is correct
21 Correct 19 ms 23800 KB Output is correct
22 Correct 20 ms 23804 KB Output is correct
23 Correct 19 ms 23800 KB Output is correct
24 Correct 20 ms 23800 KB Output is correct
25 Correct 20 ms 23928 KB Output is correct
26 Correct 20 ms 23800 KB Output is correct
27 Correct 19 ms 23800 KB Output is correct
28 Correct 19 ms 23800 KB Output is correct
29 Correct 19 ms 23928 KB Output is correct
30 Correct 19 ms 23804 KB Output is correct
31 Correct 21 ms 23800 KB Output is correct
32 Correct 19 ms 23928 KB Output is correct
33 Correct 20 ms 23928 KB Output is correct
34 Correct 20 ms 23800 KB Output is correct
35 Correct 20 ms 23928 KB Output is correct
36 Correct 20 ms 23932 KB Output is correct
37 Correct 20 ms 23928 KB Output is correct
38 Correct 20 ms 23928 KB Output is correct
39 Correct 22 ms 23928 KB Output is correct
40 Correct 21 ms 23928 KB Output is correct
41 Correct 20 ms 23928 KB Output is correct
42 Correct 20 ms 23928 KB Output is correct
43 Correct 21 ms 23800 KB Output is correct
44 Correct 20 ms 23800 KB Output is correct
45 Correct 20 ms 23800 KB Output is correct
46 Correct 20 ms 23800 KB Output is correct
47 Correct 19 ms 23804 KB Output is correct
48 Correct 20 ms 23800 KB Output is correct
49 Correct 20 ms 23800 KB Output is correct
50 Correct 23 ms 23932 KB Output is correct
51 Correct 20 ms 23800 KB Output is correct
52 Correct 20 ms 23800 KB Output is correct
53 Correct 19 ms 23800 KB Output is correct
54 Correct 21 ms 23800 KB Output is correct
55 Correct 19 ms 23800 KB Output is correct
56 Correct 20 ms 23800 KB Output is correct
57 Correct 20 ms 23800 KB Output is correct
58 Correct 20 ms 23800 KB Output is correct
59 Correct 20 ms 23748 KB Output is correct
60 Correct 20 ms 23804 KB Output is correct
61 Correct 20 ms 23776 KB Output is correct
62 Correct 21 ms 23800 KB Output is correct
63 Correct 21 ms 23804 KB Output is correct
64 Correct 19 ms 23800 KB Output is correct
65 Correct 19 ms 23800 KB Output is correct
66 Correct 19 ms 23800 KB Output is correct
67 Correct 20 ms 23800 KB Output is correct
68 Correct 20 ms 23800 KB Output is correct
69 Correct 20 ms 23800 KB Output is correct
70 Correct 20 ms 23800 KB Output is correct
71 Correct 19 ms 23800 KB Output is correct
72 Correct 20 ms 23800 KB Output is correct
73 Correct 20 ms 23804 KB Output is correct
74 Correct 20 ms 23800 KB Output is correct
75 Correct 20 ms 23800 KB Output is correct
76 Correct 20 ms 23800 KB Output is correct
77 Correct 19 ms 23800 KB Output is correct
78 Correct 20 ms 23800 KB Output is correct
79 Correct 21 ms 23800 KB Output is correct
80 Correct 20 ms 23800 KB Output is correct
81 Correct 20 ms 23800 KB Output is correct
82 Correct 21 ms 23928 KB Output is correct
83 Correct 20 ms 23800 KB Output is correct
84 Correct 20 ms 23800 KB Output is correct
85 Correct 19 ms 23800 KB Output is correct
86 Correct 20 ms 23800 KB Output is correct
87 Correct 20 ms 23800 KB Output is correct
88 Correct 21 ms 23932 KB Output is correct
89 Correct 20 ms 23928 KB Output is correct
90 Correct 22 ms 23800 KB Output is correct
91 Correct 20 ms 23800 KB Output is correct
92 Correct 20 ms 23800 KB Output is correct
93 Correct 20 ms 23928 KB Output is correct
94 Correct 19 ms 23928 KB Output is correct
95 Correct 20 ms 23928 KB Output is correct
96 Correct 20 ms 23800 KB Output is correct
97 Correct 19 ms 23800 KB Output is correct
98 Correct 19 ms 23800 KB Output is correct
99 Correct 21 ms 23800 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 20 ms 23800 KB Output is correct
2 Correct 20 ms 23800 KB Output is correct
3 Correct 19 ms 23800 KB Output is correct
4 Correct 19 ms 23800 KB Output is correct
5 Correct 19 ms 23800 KB Output is correct
6 Correct 20 ms 23800 KB Output is correct
7 Correct 19 ms 23800 KB Output is correct
8 Correct 19 ms 23800 KB Output is correct
9 Correct 19 ms 23800 KB Output is correct
10 Correct 21 ms 23996 KB Output is correct
11 Correct 20 ms 23800 KB Output is correct
12 Correct 19 ms 23672 KB Output is correct
13 Correct 20 ms 23800 KB Output is correct
14 Correct 20 ms 23800 KB Output is correct
15 Correct 20 ms 23800 KB Output is correct
16 Correct 19 ms 23800 KB Output is correct
17 Correct 20 ms 23800 KB Output is correct
18 Correct 20 ms 23800 KB Output is correct
19 Correct 19 ms 23804 KB Output is correct
20 Correct 20 ms 23800 KB Output is correct
21 Correct 19 ms 23800 KB Output is correct
22 Correct 20 ms 23804 KB Output is correct
23 Correct 19 ms 23800 KB Output is correct
24 Correct 20 ms 23800 KB Output is correct
25 Correct 20 ms 23928 KB Output is correct
26 Correct 20 ms 23800 KB Output is correct
27 Correct 19 ms 23800 KB Output is correct
28 Correct 19 ms 23800 KB Output is correct
29 Correct 19 ms 23928 KB Output is correct
30 Correct 19 ms 23804 KB Output is correct
31 Correct 21 ms 23800 KB Output is correct
32 Correct 19 ms 23928 KB Output is correct
33 Correct 20 ms 23928 KB Output is correct
34 Correct 20 ms 23800 KB Output is correct
35 Correct 20 ms 23928 KB Output is correct
36 Correct 20 ms 23932 KB Output is correct
37 Correct 20 ms 23928 KB Output is correct
38 Correct 20 ms 23928 KB Output is correct
39 Correct 22 ms 23928 KB Output is correct
40 Correct 21 ms 23928 KB Output is correct
41 Correct 20 ms 23928 KB Output is correct
42 Correct 20 ms 23928 KB Output is correct
43 Correct 21 ms 23800 KB Output is correct
44 Correct 20 ms 23800 KB Output is correct
45 Correct 20 ms 23800 KB Output is correct
46 Correct 20 ms 23800 KB Output is correct
47 Correct 19 ms 23804 KB Output is correct
48 Correct 21 ms 23800 KB Output is correct
49 Correct 19 ms 23800 KB Output is correct
50 Correct 21 ms 23800 KB Output is correct
51 Correct 21 ms 23800 KB Output is correct
52 Correct 20 ms 23800 KB Output is correct
53 Correct 19 ms 23800 KB Output is correct
54 Correct 20 ms 23800 KB Output is correct
55 Correct 20 ms 23800 KB Output is correct
56 Correct 20 ms 23800 KB Output is correct
57 Correct 19 ms 23804 KB Output is correct
58 Correct 20 ms 23800 KB Output is correct
59 Correct 21 ms 23800 KB Output is correct
60 Correct 20 ms 23800 KB Output is correct
61 Correct 20 ms 23804 KB Output is correct
62 Correct 19 ms 23800 KB Output is correct
63 Correct 20 ms 23800 KB Output is correct
64 Correct 20 ms 23800 KB Output is correct
65 Correct 20 ms 23800 KB Output is correct
66 Correct 20 ms 23928 KB Output is correct
67 Correct 20 ms 23800 KB Output is correct
68 Correct 47 ms 29432 KB Output is correct
69 Correct 73 ms 35192 KB Output is correct
70 Correct 20 ms 23800 KB Output is correct
71 Correct 102 ms 40824 KB Output is correct
72 Correct 136 ms 46456 KB Output is correct
73 Correct 160 ms 52216 KB Output is correct
74 Correct 188 ms 57848 KB Output is correct
75 Correct 221 ms 63608 KB Output is correct
76 Correct 250 ms 69268 KB Output is correct
77 Correct 283 ms 74872 KB Output is correct
78 Correct 309 ms 80504 KB Output is correct
79 Correct 324 ms 86264 KB Output is correct
80 Correct 356 ms 91896 KB Output is correct
81 Correct 20 ms 23800 KB Output is correct
82 Correct 386 ms 97656 KB Output is correct
83 Correct 417 ms 103320 KB Output is correct
84 Correct 445 ms 108920 KB Output is correct
85 Correct 471 ms 114680 KB Output is correct
86 Correct 492 ms 120440 KB Output is correct
87 Correct 546 ms 126044 KB Output is correct
88 Correct 554 ms 131704 KB Output is correct
89 Correct 623 ms 137336 KB Output is correct
90 Correct 23 ms 23800 KB Output is correct
91 Correct 20 ms 23800 KB Output is correct
92 Correct 21 ms 23800 KB Output is correct
93 Correct 22 ms 23800 KB Output is correct
94 Correct 21 ms 23800 KB Output is correct
95 Correct 20 ms 23800 KB Output is correct
96 Correct 20 ms 23800 KB Output is correct
97 Correct 23 ms 23932 KB Output is correct
98 Correct 20 ms 23800 KB Output is correct
99 Correct 20 ms 23800 KB Output is correct
100 Correct 19 ms 23800 KB Output is correct
101 Correct 21 ms 23800 KB Output is correct
102 Correct 19 ms 23800 KB Output is correct
103 Correct 20 ms 23800 KB Output is correct
104 Correct 20 ms 23800 KB Output is correct
105 Correct 20 ms 23800 KB Output is correct
106 Correct 20 ms 23748 KB Output is correct
107 Correct 20 ms 23804 KB Output is correct
108 Correct 20 ms 23776 KB Output is correct
109 Correct 21 ms 23800 KB Output is correct
110 Correct 21 ms 23804 KB Output is correct
111 Correct 19 ms 23800 KB Output is correct
112 Correct 19 ms 23800 KB Output is correct
113 Correct 19 ms 23800 KB Output is correct
114 Correct 20 ms 23800 KB Output is correct
115 Correct 20 ms 23800 KB Output is correct
116 Correct 20 ms 23800 KB Output is correct
117 Correct 20 ms 23800 KB Output is correct
118 Correct 19 ms 23800 KB Output is correct
119 Correct 20 ms 23800 KB Output is correct
120 Correct 20 ms 23804 KB Output is correct
121 Correct 20 ms 23800 KB Output is correct
122 Correct 20 ms 23800 KB Output is correct
123 Correct 20 ms 23800 KB Output is correct
124 Correct 19 ms 23800 KB Output is correct
125 Correct 20 ms 23800 KB Output is correct
126 Correct 21 ms 23800 KB Output is correct
127 Correct 20 ms 23800 KB Output is correct
128 Correct 20 ms 23800 KB Output is correct
129 Correct 21 ms 23928 KB Output is correct
130 Correct 20 ms 23800 KB Output is correct
131 Correct 20 ms 23800 KB Output is correct
132 Correct 19 ms 23800 KB Output is correct
133 Correct 20 ms 23800 KB Output is correct
134 Correct 20 ms 23800 KB Output is correct
135 Correct 21 ms 23932 KB Output is correct
136 Correct 20 ms 23928 KB Output is correct
137 Correct 22 ms 23800 KB Output is correct
138 Correct 20 ms 23800 KB Output is correct
139 Correct 20 ms 23800 KB Output is correct
140 Correct 20 ms 23928 KB Output is correct
141 Correct 19 ms 23928 KB Output is correct
142 Correct 20 ms 23928 KB Output is correct
143 Correct 20 ms 23800 KB Output is correct
144 Correct 19 ms 23800 KB Output is correct
145 Correct 19 ms 23800 KB Output is correct
146 Correct 21 ms 23800 KB Output is correct
147 Correct 21 ms 23800 KB Output is correct
148 Correct 19 ms 23800 KB Output is correct
149 Correct 20 ms 23800 KB Output is correct
150 Correct 19 ms 23800 KB Output is correct
151 Correct 21 ms 23800 KB Output is correct
152 Correct 19 ms 23800 KB Output is correct
153 Correct 20 ms 23928 KB Output is correct
154 Correct 19 ms 23800 KB Output is correct
155 Correct 20 ms 23804 KB Output is correct
156 Correct 19 ms 23800 KB Output is correct
157 Correct 22 ms 23800 KB Output is correct
158 Correct 19 ms 23804 KB Output is correct
159 Correct 20 ms 23800 KB Output is correct
160 Correct 19 ms 23800 KB Output is correct
161 Correct 20 ms 23800 KB Output is correct
162 Correct 20 ms 23800 KB Output is correct
163 Correct 19 ms 23800 KB Output is correct
164 Correct 20 ms 23800 KB Output is correct
165 Correct 20 ms 23800 KB Output is correct
166 Correct 19 ms 23800 KB Output is correct
167 Correct 19 ms 23800 KB Output is correct
168 Correct 20 ms 23800 KB Output is correct
169 Correct 20 ms 23800 KB Output is correct
170 Correct 20 ms 23800 KB Output is correct
171 Correct 54 ms 26872 KB Output is correct
172 Correct 102 ms 30204 KB Output is correct
173 Correct 172 ms 33784 KB Output is correct
174 Correct 252 ms 36856 KB Output is correct
175 Correct 326 ms 39552 KB Output is correct
176 Correct 398 ms 41976 KB Output is correct
177 Correct 472 ms 44664 KB Output is correct
178 Correct 552 ms 47224 KB Output is correct
179 Correct 629 ms 49656 KB Output is correct
180 Correct 23 ms 23800 KB Output is correct
181 Correct 718 ms 52088 KB Output is correct
182 Correct 785 ms 54776 KB Output is correct
183 Correct 863 ms 57288 KB Output is correct
184 Correct 951 ms 59512 KB Output is correct
185 Correct 1032 ms 59896 KB Output is correct
186 Correct 1119 ms 62584 KB Output is correct
187 Correct 1193 ms 64832 KB Output is correct
188 Correct 1261 ms 67704 KB Output is correct
189 Correct 1364 ms 70136 KB Output is correct
190 Correct 1450 ms 72696 KB Output is correct
191 Correct 19 ms 23800 KB Output is correct
192 Correct 1524 ms 75256 KB Output is correct
193 Correct 282 ms 80720 KB Output is correct
194 Correct 566 ms 137464 KB Output is correct
195 Correct 20 ms 23800 KB Output is correct
196 Correct 19 ms 23800 KB Output is correct
197 Correct 20 ms 23800 KB Output is correct
198 Correct 19 ms 23800 KB Output is correct