#include <bits/stdc++.h>
#define lsb(x) (x & (-x))
#define ll long long
#define ull unsigned long long
// 217
// 44
using namespace std;
const ll INF = 1e18;
struct SegTree {
struct Node {
ll pref, suff;
ll best, sum;
};
vector <Node> aint;
int n;
inline void init(int _n) {
n = _n;
aint.resize(4 * n + 1, {-INF, -INF, -INF, -INF});
}
inline void refresh(int nod) {
aint[nod].sum = aint[2 * nod].sum + aint[2 * nod + 1].sum;
aint[nod].pref = max(aint[2 * nod].pref, aint[2 * nod].sum + aint[2 * nod + 1].pref);
aint[nod].suff = max(aint[2 * nod + 1].suff, aint[2 * nod + 1].sum + aint[2 * nod].suff);
aint[nod].best = max(max(aint[2 * nod].best, aint[2 * nod + 1].best), aint[2 * nod].suff + aint[2 * nod + 1].pref);
}
void update(int nod, int left, int right, int pos, int val) {
if(left == right) {
aint[nod] = {val, val, val, val};
}
else {
int mid = (left + right) / 2;
if(pos <= mid) update(2 * nod, left, mid, pos, val);
else update(2 * nod + 1, mid + 1, right, pos, val);
refresh(nod);
}
}
};
struct Point {
int x, y;
int val;
bool operator <(const Point &other) const {
if(x == other.x)
return y < other.y;
return x < other.x;
}
};
struct Slope {
int a, b;
int id1, id2;
bool operator <(const Slope &other) const {
ll s1 = 1LL * a * other.b, s2 = 1LL * other.a * b;
if(s1 == s2) {
return make_pair(id1, id2) < make_pair(other.id1, other.id2);
}
return s1 < s2;
}
};
int main() {
//ifstream cin("A.in");
//ofstream cout("A.out");
int i, j, n;
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
cin >> n;
vector <Point> pts(n + 1);
for(i = 1; i <= n; i++) {
cin >> pts[i].x >> pts[i].y >> pts[i].val;
}
sort(next(pts.begin()), pts.end());
vector <Slope> slp;
for(i = 1; i <= n; i++) {
for(j = i + 1; j <= n; j++) {
if(pts[i].x != pts[j].x) {
slp.push_back({pts[j].y - pts[i].y, pts[j].x - pts[i].x, i, j});
}
}
}
sort(slp.begin(), slp.end());
SegTree st; st.init(n);
vector <int> pos(n + 1);
for(i = 1; i <= n; i++) {
st.update(1, 1, n, i, pts[i].val);
pos[i] = i;
}
ll ans = max(0LL, st.aint[1].best);
int sz = slp.size();
i = 0;
while(i < sz) {
int j = i;
while(j < sz && 1LL * slp[i].a * slp[j].b == 1LL * slp[j].a * slp[i].b) {
st.update(1, 1, n, pos[slp[j].id2], pts[slp[j].id1].val);
st.update(1, 1, n, pos[slp[j].id1], pts[slp[j].id2].val);
swap(pos[slp[j].id1], pos[slp[j].id2]);
j++;
}
ans = max(ans, st.aint[1].best);
i = j;
}
cout << ans;
//cin.close();
//cout.close();
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
512 KB |
Output is correct |
2 |
Correct |
3 ms |
512 KB |
Output is correct |
3 |
Correct |
3 ms |
512 KB |
Output is correct |
4 |
Correct |
3 ms |
512 KB |
Output is correct |
5 |
Correct |
4 ms |
556 KB |
Output is correct |
6 |
Correct |
3 ms |
512 KB |
Output is correct |
7 |
Correct |
3 ms |
512 KB |
Output is correct |
8 |
Correct |
3 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
512 KB |
Output is correct |
10 |
Correct |
3 ms |
512 KB |
Output is correct |
11 |
Correct |
2 ms |
256 KB |
Output is correct |
12 |
Correct |
2 ms |
256 KB |
Output is correct |
13 |
Correct |
3 ms |
384 KB |
Output is correct |
14 |
Correct |
2 ms |
256 KB |
Output is correct |
15 |
Correct |
2 ms |
356 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
512 KB |
Output is correct |
2 |
Correct |
3 ms |
512 KB |
Output is correct |
3 |
Correct |
3 ms |
512 KB |
Output is correct |
4 |
Correct |
3 ms |
512 KB |
Output is correct |
5 |
Correct |
3 ms |
512 KB |
Output is correct |
6 |
Correct |
3 ms |
512 KB |
Output is correct |
7 |
Correct |
3 ms |
512 KB |
Output is correct |
8 |
Correct |
3 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
512 KB |
Output is correct |
10 |
Correct |
3 ms |
512 KB |
Output is correct |
11 |
Correct |
2 ms |
384 KB |
Output is correct |
12 |
Correct |
2 ms |
384 KB |
Output is correct |
13 |
Correct |
2 ms |
256 KB |
Output is correct |
14 |
Correct |
2 ms |
384 KB |
Output is correct |
15 |
Correct |
2 ms |
384 KB |
Output is correct |
16 |
Correct |
2 ms |
256 KB |
Output is correct |
17 |
Correct |
2 ms |
256 KB |
Output is correct |
18 |
Correct |
2 ms |
256 KB |
Output is correct |
19 |
Correct |
2 ms |
384 KB |
Output is correct |
20 |
Correct |
2 ms |
384 KB |
Output is correct |
21 |
Correct |
3 ms |
512 KB |
Output is correct |
22 |
Correct |
3 ms |
512 KB |
Output is correct |
23 |
Correct |
3 ms |
512 KB |
Output is correct |
24 |
Correct |
3 ms |
512 KB |
Output is correct |
25 |
Correct |
3 ms |
512 KB |
Output is correct |
26 |
Correct |
3 ms |
512 KB |
Output is correct |
27 |
Correct |
3 ms |
484 KB |
Output is correct |
28 |
Correct |
3 ms |
560 KB |
Output is correct |
29 |
Correct |
3 ms |
512 KB |
Output is correct |
30 |
Correct |
3 ms |
512 KB |
Output is correct |
31 |
Correct |
3 ms |
512 KB |
Output is correct |
32 |
Correct |
3 ms |
512 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
512 KB |
Output is correct |
2 |
Correct |
3 ms |
512 KB |
Output is correct |
3 |
Correct |
3 ms |
512 KB |
Output is correct |
4 |
Correct |
3 ms |
512 KB |
Output is correct |
5 |
Correct |
3 ms |
512 KB |
Output is correct |
6 |
Correct |
3 ms |
512 KB |
Output is correct |
7 |
Correct |
3 ms |
512 KB |
Output is correct |
8 |
Correct |
3 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
512 KB |
Output is correct |
10 |
Correct |
3 ms |
512 KB |
Output is correct |
11 |
Correct |
2 ms |
384 KB |
Output is correct |
12 |
Correct |
2 ms |
384 KB |
Output is correct |
13 |
Correct |
2 ms |
256 KB |
Output is correct |
14 |
Correct |
2 ms |
384 KB |
Output is correct |
15 |
Correct |
2 ms |
384 KB |
Output is correct |
16 |
Correct |
2 ms |
256 KB |
Output is correct |
17 |
Correct |
2 ms |
256 KB |
Output is correct |
18 |
Correct |
2 ms |
256 KB |
Output is correct |
19 |
Correct |
2 ms |
384 KB |
Output is correct |
20 |
Correct |
2 ms |
384 KB |
Output is correct |
21 |
Correct |
3 ms |
512 KB |
Output is correct |
22 |
Correct |
3 ms |
512 KB |
Output is correct |
23 |
Correct |
3 ms |
512 KB |
Output is correct |
24 |
Correct |
3 ms |
512 KB |
Output is correct |
25 |
Correct |
3 ms |
512 KB |
Output is correct |
26 |
Correct |
3 ms |
512 KB |
Output is correct |
27 |
Correct |
3 ms |
484 KB |
Output is correct |
28 |
Correct |
3 ms |
560 KB |
Output is correct |
29 |
Correct |
3 ms |
512 KB |
Output is correct |
30 |
Correct |
3 ms |
512 KB |
Output is correct |
31 |
Correct |
3 ms |
512 KB |
Output is correct |
32 |
Correct |
3 ms |
512 KB |
Output is correct |
33 |
Correct |
716 ms |
33296 KB |
Output is correct |
34 |
Correct |
703 ms |
33360 KB |
Output is correct |
35 |
Correct |
728 ms |
33344 KB |
Output is correct |
36 |
Correct |
764 ms |
33344 KB |
Output is correct |
37 |
Correct |
715 ms |
33380 KB |
Output is correct |
38 |
Correct |
713 ms |
33368 KB |
Output is correct |
39 |
Correct |
718 ms |
33360 KB |
Output is correct |
40 |
Correct |
743 ms |
33344 KB |
Output is correct |
41 |
Correct |
733 ms |
33400 KB |
Output is correct |
42 |
Correct |
730 ms |
33276 KB |
Output is correct |
43 |
Correct |
731 ms |
33300 KB |
Output is correct |
44 |
Correct |
706 ms |
33420 KB |
Output is correct |
45 |
Correct |
716 ms |
33360 KB |
Output is correct |
46 |
Correct |
706 ms |
33312 KB |
Output is correct |
47 |
Correct |
718 ms |
33344 KB |
Output is correct |
48 |
Correct |
744 ms |
33344 KB |
Output is correct |
49 |
Correct |
710 ms |
33328 KB |
Output is correct |
50 |
Correct |
704 ms |
33316 KB |
Output is correct |
51 |
Correct |
714 ms |
33316 KB |
Output is correct |
52 |
Correct |
725 ms |
33372 KB |
Output is correct |
53 |
Correct |
704 ms |
33336 KB |
Output is correct |
54 |
Correct |
715 ms |
33372 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
512 KB |
Output is correct |
2 |
Correct |
3 ms |
512 KB |
Output is correct |
3 |
Correct |
3 ms |
512 KB |
Output is correct |
4 |
Correct |
3 ms |
512 KB |
Output is correct |
5 |
Correct |
3 ms |
512 KB |
Output is correct |
6 |
Correct |
3 ms |
512 KB |
Output is correct |
7 |
Correct |
3 ms |
512 KB |
Output is correct |
8 |
Correct |
3 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
512 KB |
Output is correct |
10 |
Correct |
3 ms |
512 KB |
Output is correct |
11 |
Correct |
2 ms |
384 KB |
Output is correct |
12 |
Correct |
2 ms |
384 KB |
Output is correct |
13 |
Correct |
2 ms |
256 KB |
Output is correct |
14 |
Correct |
2 ms |
384 KB |
Output is correct |
15 |
Correct |
2 ms |
384 KB |
Output is correct |
16 |
Correct |
2 ms |
256 KB |
Output is correct |
17 |
Correct |
2 ms |
256 KB |
Output is correct |
18 |
Correct |
2 ms |
256 KB |
Output is correct |
19 |
Correct |
2 ms |
384 KB |
Output is correct |
20 |
Correct |
2 ms |
384 KB |
Output is correct |
21 |
Correct |
3 ms |
512 KB |
Output is correct |
22 |
Correct |
3 ms |
512 KB |
Output is correct |
23 |
Correct |
3 ms |
512 KB |
Output is correct |
24 |
Correct |
3 ms |
512 KB |
Output is correct |
25 |
Correct |
3 ms |
512 KB |
Output is correct |
26 |
Correct |
3 ms |
512 KB |
Output is correct |
27 |
Correct |
3 ms |
484 KB |
Output is correct |
28 |
Correct |
3 ms |
560 KB |
Output is correct |
29 |
Correct |
3 ms |
512 KB |
Output is correct |
30 |
Correct |
3 ms |
512 KB |
Output is correct |
31 |
Correct |
3 ms |
512 KB |
Output is correct |
32 |
Correct |
3 ms |
512 KB |
Output is correct |
33 |
Correct |
716 ms |
33296 KB |
Output is correct |
34 |
Correct |
703 ms |
33360 KB |
Output is correct |
35 |
Correct |
728 ms |
33344 KB |
Output is correct |
36 |
Correct |
764 ms |
33344 KB |
Output is correct |
37 |
Correct |
715 ms |
33380 KB |
Output is correct |
38 |
Correct |
713 ms |
33368 KB |
Output is correct |
39 |
Correct |
718 ms |
33360 KB |
Output is correct |
40 |
Correct |
743 ms |
33344 KB |
Output is correct |
41 |
Correct |
733 ms |
33400 KB |
Output is correct |
42 |
Correct |
730 ms |
33276 KB |
Output is correct |
43 |
Correct |
731 ms |
33300 KB |
Output is correct |
44 |
Correct |
706 ms |
33420 KB |
Output is correct |
45 |
Correct |
716 ms |
33360 KB |
Output is correct |
46 |
Correct |
706 ms |
33312 KB |
Output is correct |
47 |
Correct |
718 ms |
33344 KB |
Output is correct |
48 |
Correct |
744 ms |
33344 KB |
Output is correct |
49 |
Correct |
710 ms |
33328 KB |
Output is correct |
50 |
Correct |
704 ms |
33316 KB |
Output is correct |
51 |
Correct |
714 ms |
33316 KB |
Output is correct |
52 |
Correct |
725 ms |
33372 KB |
Output is correct |
53 |
Correct |
704 ms |
33336 KB |
Output is correct |
54 |
Correct |
715 ms |
33372 KB |
Output is correct |
55 |
Correct |
705 ms |
33360 KB |
Output is correct |
56 |
Correct |
708 ms |
33300 KB |
Output is correct |
57 |
Correct |
712 ms |
33332 KB |
Output is correct |
58 |
Correct |
734 ms |
33332 KB |
Output is correct |
59 |
Correct |
714 ms |
33360 KB |
Output is correct |
60 |
Correct |
732 ms |
33348 KB |
Output is correct |
61 |
Correct |
716 ms |
33340 KB |
Output is correct |
62 |
Correct |
710 ms |
33344 KB |
Output is correct |
63 |
Correct |
710 ms |
33344 KB |
Output is correct |
64 |
Correct |
704 ms |
33364 KB |
Output is correct |
65 |
Correct |
715 ms |
33344 KB |
Output is correct |
66 |
Correct |
709 ms |
33348 KB |
Output is correct |
67 |
Correct |
715 ms |
33360 KB |
Output is correct |
68 |
Correct |
716 ms |
33332 KB |
Output is correct |
69 |
Correct |
707 ms |
33360 KB |
Output is correct |
70 |
Correct |
713 ms |
33372 KB |
Output is correct |
71 |
Correct |
731 ms |
33360 KB |
Output is correct |
72 |
Correct |
739 ms |
33360 KB |
Output is correct |
73 |
Correct |
719 ms |
33344 KB |
Output is correct |
74 |
Correct |
728 ms |
33472 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
512 KB |
Output is correct |
2 |
Correct |
3 ms |
512 KB |
Output is correct |
3 |
Correct |
3 ms |
512 KB |
Output is correct |
4 |
Correct |
3 ms |
512 KB |
Output is correct |
5 |
Correct |
4 ms |
556 KB |
Output is correct |
6 |
Correct |
3 ms |
512 KB |
Output is correct |
7 |
Correct |
3 ms |
512 KB |
Output is correct |
8 |
Correct |
3 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
512 KB |
Output is correct |
10 |
Correct |
3 ms |
512 KB |
Output is correct |
11 |
Correct |
2 ms |
256 KB |
Output is correct |
12 |
Correct |
2 ms |
256 KB |
Output is correct |
13 |
Correct |
3 ms |
384 KB |
Output is correct |
14 |
Correct |
2 ms |
256 KB |
Output is correct |
15 |
Correct |
2 ms |
356 KB |
Output is correct |
16 |
Correct |
3 ms |
512 KB |
Output is correct |
17 |
Correct |
3 ms |
512 KB |
Output is correct |
18 |
Correct |
3 ms |
512 KB |
Output is correct |
19 |
Correct |
3 ms |
512 KB |
Output is correct |
20 |
Correct |
3 ms |
512 KB |
Output is correct |
21 |
Correct |
3 ms |
512 KB |
Output is correct |
22 |
Correct |
3 ms |
512 KB |
Output is correct |
23 |
Correct |
3 ms |
512 KB |
Output is correct |
24 |
Correct |
3 ms |
512 KB |
Output is correct |
25 |
Correct |
3 ms |
512 KB |
Output is correct |
26 |
Correct |
2 ms |
384 KB |
Output is correct |
27 |
Correct |
2 ms |
384 KB |
Output is correct |
28 |
Correct |
2 ms |
256 KB |
Output is correct |
29 |
Correct |
2 ms |
384 KB |
Output is correct |
30 |
Correct |
2 ms |
384 KB |
Output is correct |
31 |
Correct |
2 ms |
256 KB |
Output is correct |
32 |
Correct |
2 ms |
256 KB |
Output is correct |
33 |
Correct |
2 ms |
256 KB |
Output is correct |
34 |
Correct |
2 ms |
384 KB |
Output is correct |
35 |
Correct |
2 ms |
384 KB |
Output is correct |
36 |
Correct |
3 ms |
512 KB |
Output is correct |
37 |
Correct |
3 ms |
512 KB |
Output is correct |
38 |
Correct |
3 ms |
512 KB |
Output is correct |
39 |
Correct |
3 ms |
512 KB |
Output is correct |
40 |
Correct |
3 ms |
512 KB |
Output is correct |
41 |
Correct |
3 ms |
512 KB |
Output is correct |
42 |
Correct |
3 ms |
484 KB |
Output is correct |
43 |
Correct |
3 ms |
560 KB |
Output is correct |
44 |
Correct |
3 ms |
512 KB |
Output is correct |
45 |
Correct |
3 ms |
512 KB |
Output is correct |
46 |
Correct |
3 ms |
512 KB |
Output is correct |
47 |
Correct |
3 ms |
512 KB |
Output is correct |
48 |
Correct |
716 ms |
33296 KB |
Output is correct |
49 |
Correct |
703 ms |
33360 KB |
Output is correct |
50 |
Correct |
728 ms |
33344 KB |
Output is correct |
51 |
Correct |
764 ms |
33344 KB |
Output is correct |
52 |
Correct |
715 ms |
33380 KB |
Output is correct |
53 |
Correct |
713 ms |
33368 KB |
Output is correct |
54 |
Correct |
718 ms |
33360 KB |
Output is correct |
55 |
Correct |
743 ms |
33344 KB |
Output is correct |
56 |
Correct |
733 ms |
33400 KB |
Output is correct |
57 |
Correct |
730 ms |
33276 KB |
Output is correct |
58 |
Correct |
731 ms |
33300 KB |
Output is correct |
59 |
Correct |
706 ms |
33420 KB |
Output is correct |
60 |
Correct |
716 ms |
33360 KB |
Output is correct |
61 |
Correct |
706 ms |
33312 KB |
Output is correct |
62 |
Correct |
718 ms |
33344 KB |
Output is correct |
63 |
Correct |
744 ms |
33344 KB |
Output is correct |
64 |
Correct |
710 ms |
33328 KB |
Output is correct |
65 |
Correct |
704 ms |
33316 KB |
Output is correct |
66 |
Correct |
714 ms |
33316 KB |
Output is correct |
67 |
Correct |
725 ms |
33372 KB |
Output is correct |
68 |
Correct |
704 ms |
33336 KB |
Output is correct |
69 |
Correct |
715 ms |
33372 KB |
Output is correct |
70 |
Correct |
705 ms |
33360 KB |
Output is correct |
71 |
Correct |
708 ms |
33300 KB |
Output is correct |
72 |
Correct |
712 ms |
33332 KB |
Output is correct |
73 |
Correct |
734 ms |
33332 KB |
Output is correct |
74 |
Correct |
714 ms |
33360 KB |
Output is correct |
75 |
Correct |
732 ms |
33348 KB |
Output is correct |
76 |
Correct |
716 ms |
33340 KB |
Output is correct |
77 |
Correct |
710 ms |
33344 KB |
Output is correct |
78 |
Correct |
710 ms |
33344 KB |
Output is correct |
79 |
Correct |
704 ms |
33364 KB |
Output is correct |
80 |
Correct |
715 ms |
33344 KB |
Output is correct |
81 |
Correct |
709 ms |
33348 KB |
Output is correct |
82 |
Correct |
715 ms |
33360 KB |
Output is correct |
83 |
Correct |
716 ms |
33332 KB |
Output is correct |
84 |
Correct |
707 ms |
33360 KB |
Output is correct |
85 |
Correct |
713 ms |
33372 KB |
Output is correct |
86 |
Correct |
731 ms |
33360 KB |
Output is correct |
87 |
Correct |
739 ms |
33360 KB |
Output is correct |
88 |
Correct |
719 ms |
33344 KB |
Output is correct |
89 |
Correct |
728 ms |
33472 KB |
Output is correct |
90 |
Correct |
731 ms |
33360 KB |
Output is correct |
91 |
Correct |
703 ms |
33360 KB |
Output is correct |
92 |
Correct |
716 ms |
33320 KB |
Output is correct |
93 |
Correct |
726 ms |
33344 KB |
Output is correct |
94 |
Correct |
720 ms |
33360 KB |
Output is correct |
95 |
Correct |
705 ms |
33360 KB |
Output is correct |
96 |
Correct |
726 ms |
33360 KB |
Output is correct |
97 |
Correct |
763 ms |
33344 KB |
Output is correct |
98 |
Correct |
718 ms |
33344 KB |
Output is correct |
99 |
Correct |
731 ms |
33332 KB |
Output is correct |
100 |
Correct |
325 ms |
16968 KB |
Output is correct |
101 |
Correct |
335 ms |
16960 KB |
Output is correct |
102 |
Correct |
324 ms |
16904 KB |
Output is correct |
103 |
Correct |
320 ms |
16936 KB |
Output is correct |
104 |
Correct |
323 ms |
16948 KB |
Output is correct |
105 |
Correct |
449 ms |
33472 KB |
Output is correct |
106 |
Correct |
461 ms |
33284 KB |
Output is correct |
107 |
Correct |
458 ms |
33344 KB |
Output is correct |
108 |
Correct |
454 ms |
33424 KB |
Output is correct |
109 |
Correct |
464 ms |
33348 KB |
Output is correct |
110 |
Correct |
674 ms |
33412 KB |
Output is correct |
111 |
Correct |
664 ms |
33360 KB |
Output is correct |
112 |
Correct |
661 ms |
33360 KB |
Output is correct |
113 |
Correct |
665 ms |
33320 KB |
Output is correct |
114 |
Correct |
670 ms |
33360 KB |
Output is correct |
115 |
Correct |
685 ms |
33360 KB |
Output is correct |
116 |
Correct |
673 ms |
33384 KB |
Output is correct |
117 |
Correct |
651 ms |
33360 KB |
Output is correct |
118 |
Correct |
648 ms |
33348 KB |
Output is correct |
119 |
Correct |
639 ms |
33296 KB |
Output is correct |
120 |
Correct |
2 ms |
384 KB |
Output is correct |
121 |
Correct |
2 ms |
384 KB |
Output is correct |
122 |
Correct |
714 ms |
33360 KB |
Output is correct |
123 |
Correct |
711 ms |
33496 KB |
Output is correct |
124 |
Correct |
745 ms |
33340 KB |
Output is correct |
125 |
Correct |
786 ms |
33344 KB |
Output is correct |
126 |
Correct |
824 ms |
33360 KB |
Output is correct |
127 |
Correct |
705 ms |
33344 KB |
Output is correct |
128 |
Correct |
719 ms |
33344 KB |
Output is correct |
129 |
Correct |
708 ms |
33360 KB |
Output is correct |
130 |
Correct |
709 ms |
33344 KB |
Output is correct |
131 |
Correct |
705 ms |
33360 KB |
Output is correct |
132 |
Correct |
708 ms |
33360 KB |
Output is correct |
133 |
Correct |
715 ms |
33364 KB |
Output is correct |