// ~ Be Name Khoda ~
#include <bits/stdc++.h>
//#pragma GCC optimize ("Ofast")
#pragma GCC target("avx2")
#pragma GCC optimize("unroll-loops,Ofast")
using namespace std;
typedef long long ll;
#define pb push_back
#define mp make_pair
#define all(x) x.begin(), x.end()
#define fi first
#define se second
const int maxn = 5e5 + 10;
const int maxn5 = 5e5 + 10;
const int maxnt = 2e6 + 10;
const int maxn3 = 1e3 + 10;
const int mod = 1e9 + 7;
const int lg = 19;
const ll inf = 1e18;
int lim, m, a[maxn5], ty[maxn5], x[maxn5];
vector <int> av;
ll sum = 0;
struct segst{
ll dp[2][2], lazy, tomerge;
segst(){
dp[0][1] = dp[1][0] = dp[0][0] = -inf;
dp[1][1] = 0;
lazy = tomerge = 0;
}
} seg[maxnt];
inline void output(int v){
cout << "checking " << v << ' ' << seg[v].tomerge << ' ' << seg[v].dp[0][0] << ' ' << seg[v].dp[0][1];
cout << ' ' << seg[v].dp[1][0] << ' ' << seg[v].dp[1][1] << '\n';
}
inline segst operator +(segst a, segst b){
segst ret;
ret.tomerge = b.tomerge;
ret.dp[1][1] = -inf;
for(int i = 0; i < 2; i++){
ret.dp[i][0] = max({ret.dp[i][0], a.dp[i][0], a.dp[i][1]});
ret.dp[0][i] = max({ret.dp[0][i], b.dp[0][i], b.dp[1][i]});
for(int j = 0; j < 2; j++)
for(int k = 0; k < 2; k++)
for(int l = 0; l < 2; l++)
ret.dp[i][j] = max(ret.dp[i][j], a.dp[i][k] + b.dp[l][j] + ((k && l) * a.tomerge));
}
return ret;
}
inline void lahaz(int v, ll val){
seg[v].lazy += val;
seg[v].tomerge -= val;
for(int i = 0; i < 2; i++) for(int j = 0; j < 2; j++)
seg[v].dp[i][j] += val;
}
inline void shift(int v){
lahaz(v * 2, seg[v].lazy);
lahaz(v * 2 + 1, seg[v].lazy);
seg[v].lazy = 0;
}
void add(int l, int r, int lq, int rq, int val1, int val2, int v){
if(rq <= l || r <= lq)
return;
if(lq <= l && r <= rq){
if(r - l == 1){
seg[v].tomerge += val2;
seg[v].dp[1][1] += val1;
}
else
lahaz(v, val1);
return;
}
int mid = (l + r) >> 1; shift(v);
add(l, mid, lq, rq, val1, val2, v * 2);
add(mid, r, lq, rq, val1, val2, v * 2 + 1);
seg[v] = seg[v * 2] + seg[v * 2 + 1];
}
void upd(int l, int r, int id, int val, int v){
if(r - l == 1){
seg[v].dp[1][1] += val;
return;
}
int mid = (l + r) >> 1; shift(v);
if(id < mid)
upd(l, mid, id, val, v * 2);
else
upd(mid, r, id, val, v * 2 + 1);
seg[v] = seg[v * 2] + seg[v * 2 + 1];
//output(v);
}
int main()
{
ios_base::sync_with_stdio(false); cin.tie(0);
int n; cin >> n >> lim;
for(int i = 0; i < n; i++){
cin >> ty[i] >> x[i] >> a[i];
ty[i]--;
av.pb(x[i]);
}
sort(all(av));
av.resize(unique(all(av)) - av.begin());
m = av.size();
sum = 0;
for(int i = 0; i < n; i++){
int pt = lower_bound(all(av), x[i]) - av.begin();
if(ty[i]){
sum += a[i];
upd(0, m, pt, a[i], 1);
}
else{
int l = lower_bound(all(av), x[i] - lim) - av.begin();
int r = upper_bound(all(av), x[i] + lim) - av.begin();
add(0, m, r - 1, r, -a[i], 0, 1);
if(l < r - 1)
add(0, m, l, r - 1, -a[i], a[i], 1);
}
cout << sum - max({0LL, seg[1].dp[0][0], seg[1].dp[1][0], seg[1].dp[0][1], seg[1].dp[1][1]}) << '\n';
}
}
/*
20 268886972
1 984472666 733463744
1 478477245 94817772
1 242536956 330762563
1 65794782 319137646
1 320548477 937296140
1 815011370 938193848
1 565184190 917533785
1 245417414 534089975
1 529908772 977043962
1 603891865 700935654
2 167042244 479827216
2 173921297 798343455
2 916159596 810126726
2 999299355 465535307
2 965968070 501768990
2 936073643 174976034
2 832859952 778072072
2 955489596 704853861
2 246733786 382428992
2 227669861 390905006
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
41 ms |
94156 KB |
Output is correct |
2 |
Correct |
42 ms |
94200 KB |
Output is correct |
3 |
Correct |
42 ms |
94152 KB |
Output is correct |
4 |
Correct |
40 ms |
94244 KB |
Output is correct |
5 |
Correct |
41 ms |
94168 KB |
Output is correct |
6 |
Correct |
43 ms |
94284 KB |
Output is correct |
7 |
Correct |
44 ms |
94272 KB |
Output is correct |
8 |
Correct |
50 ms |
94280 KB |
Output is correct |
9 |
Correct |
41 ms |
94264 KB |
Output is correct |
10 |
Correct |
44 ms |
94336 KB |
Output is correct |
11 |
Correct |
46 ms |
94436 KB |
Output is correct |
12 |
Correct |
48 ms |
94364 KB |
Output is correct |
13 |
Correct |
45 ms |
94320 KB |
Output is correct |
14 |
Correct |
51 ms |
94300 KB |
Output is correct |
15 |
Correct |
55 ms |
94408 KB |
Output is correct |
16 |
Correct |
46 ms |
94388 KB |
Output is correct |
17 |
Correct |
59 ms |
94288 KB |
Output is correct |
18 |
Correct |
46 ms |
94500 KB |
Output is correct |
19 |
Correct |
42 ms |
94412 KB |
Output is correct |
20 |
Correct |
52 ms |
94376 KB |
Output is correct |
21 |
Correct |
51 ms |
94304 KB |
Output is correct |
22 |
Correct |
59 ms |
94288 KB |
Output is correct |
23 |
Correct |
54 ms |
94364 KB |
Output is correct |
24 |
Correct |
46 ms |
94288 KB |
Output is correct |
25 |
Correct |
48 ms |
94484 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
39 ms |
94256 KB |
Output is correct |
2 |
Correct |
39 ms |
94160 KB |
Output is correct |
3 |
Correct |
39 ms |
94196 KB |
Output is correct |
4 |
Correct |
816 ms |
110368 KB |
Output is correct |
5 |
Correct |
480 ms |
106056 KB |
Output is correct |
6 |
Correct |
907 ms |
114812 KB |
Output is correct |
7 |
Correct |
399 ms |
106260 KB |
Output is correct |
8 |
Correct |
1246 ms |
118620 KB |
Output is correct |
9 |
Correct |
828 ms |
119264 KB |
Output is correct |
10 |
Correct |
1145 ms |
118664 KB |
Output is correct |
11 |
Correct |
831 ms |
119308 KB |
Output is correct |
12 |
Correct |
370 ms |
103788 KB |
Output is correct |
13 |
Correct |
492 ms |
107456 KB |
Output is correct |
14 |
Correct |
812 ms |
115784 KB |
Output is correct |
15 |
Correct |
847 ms |
115768 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
40 ms |
94156 KB |
Output is correct |
2 |
Correct |
388 ms |
103860 KB |
Output is correct |
3 |
Correct |
499 ms |
107396 KB |
Output is correct |
4 |
Correct |
827 ms |
115960 KB |
Output is correct |
5 |
Correct |
783 ms |
115772 KB |
Output is correct |
6 |
Correct |
962 ms |
111500 KB |
Output is correct |
7 |
Correct |
84 ms |
95652 KB |
Output is correct |
8 |
Correct |
631 ms |
102932 KB |
Output is correct |
9 |
Correct |
746 ms |
107088 KB |
Output is correct |
10 |
Correct |
1227 ms |
117008 KB |
Output is correct |
11 |
Correct |
1270 ms |
117092 KB |
Output is correct |
12 |
Correct |
1411 ms |
117012 KB |
Output is correct |
13 |
Correct |
1143 ms |
117116 KB |
Output is correct |
14 |
Correct |
1279 ms |
117092 KB |
Output is correct |
15 |
Correct |
1190 ms |
116924 KB |
Output is correct |
16 |
Correct |
1302 ms |
117072 KB |
Output is correct |
17 |
Correct |
1406 ms |
117136 KB |
Output is correct |
18 |
Correct |
1419 ms |
117164 KB |
Output is correct |
19 |
Correct |
1292 ms |
117172 KB |
Output is correct |
20 |
Correct |
1310 ms |
117220 KB |
Output is correct |
21 |
Correct |
1356 ms |
117268 KB |
Output is correct |
22 |
Correct |
1403 ms |
117108 KB |
Output is correct |
23 |
Correct |
1290 ms |
117288 KB |
Output is correct |
24 |
Correct |
1040 ms |
117108 KB |
Output is correct |
25 |
Correct |
1138 ms |
117216 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
41 ms |
94156 KB |
Output is correct |
2 |
Correct |
42 ms |
94200 KB |
Output is correct |
3 |
Correct |
42 ms |
94152 KB |
Output is correct |
4 |
Correct |
40 ms |
94244 KB |
Output is correct |
5 |
Correct |
41 ms |
94168 KB |
Output is correct |
6 |
Correct |
43 ms |
94284 KB |
Output is correct |
7 |
Correct |
44 ms |
94272 KB |
Output is correct |
8 |
Correct |
50 ms |
94280 KB |
Output is correct |
9 |
Correct |
41 ms |
94264 KB |
Output is correct |
10 |
Correct |
44 ms |
94336 KB |
Output is correct |
11 |
Correct |
46 ms |
94436 KB |
Output is correct |
12 |
Correct |
48 ms |
94364 KB |
Output is correct |
13 |
Correct |
45 ms |
94320 KB |
Output is correct |
14 |
Correct |
51 ms |
94300 KB |
Output is correct |
15 |
Correct |
55 ms |
94408 KB |
Output is correct |
16 |
Correct |
46 ms |
94388 KB |
Output is correct |
17 |
Correct |
59 ms |
94288 KB |
Output is correct |
18 |
Correct |
46 ms |
94500 KB |
Output is correct |
19 |
Correct |
42 ms |
94412 KB |
Output is correct |
20 |
Correct |
52 ms |
94376 KB |
Output is correct |
21 |
Correct |
51 ms |
94304 KB |
Output is correct |
22 |
Correct |
59 ms |
94288 KB |
Output is correct |
23 |
Correct |
54 ms |
94364 KB |
Output is correct |
24 |
Correct |
46 ms |
94288 KB |
Output is correct |
25 |
Correct |
48 ms |
94484 KB |
Output is correct |
26 |
Correct |
39 ms |
94256 KB |
Output is correct |
27 |
Correct |
39 ms |
94160 KB |
Output is correct |
28 |
Correct |
39 ms |
94196 KB |
Output is correct |
29 |
Correct |
816 ms |
110368 KB |
Output is correct |
30 |
Correct |
480 ms |
106056 KB |
Output is correct |
31 |
Correct |
907 ms |
114812 KB |
Output is correct |
32 |
Correct |
399 ms |
106260 KB |
Output is correct |
33 |
Correct |
1246 ms |
118620 KB |
Output is correct |
34 |
Correct |
828 ms |
119264 KB |
Output is correct |
35 |
Correct |
1145 ms |
118664 KB |
Output is correct |
36 |
Correct |
831 ms |
119308 KB |
Output is correct |
37 |
Correct |
370 ms |
103788 KB |
Output is correct |
38 |
Correct |
492 ms |
107456 KB |
Output is correct |
39 |
Correct |
812 ms |
115784 KB |
Output is correct |
40 |
Correct |
847 ms |
115768 KB |
Output is correct |
41 |
Correct |
40 ms |
94156 KB |
Output is correct |
42 |
Correct |
388 ms |
103860 KB |
Output is correct |
43 |
Correct |
499 ms |
107396 KB |
Output is correct |
44 |
Correct |
827 ms |
115960 KB |
Output is correct |
45 |
Correct |
783 ms |
115772 KB |
Output is correct |
46 |
Correct |
962 ms |
111500 KB |
Output is correct |
47 |
Correct |
84 ms |
95652 KB |
Output is correct |
48 |
Correct |
631 ms |
102932 KB |
Output is correct |
49 |
Correct |
746 ms |
107088 KB |
Output is correct |
50 |
Correct |
1227 ms |
117008 KB |
Output is correct |
51 |
Correct |
1270 ms |
117092 KB |
Output is correct |
52 |
Correct |
1411 ms |
117012 KB |
Output is correct |
53 |
Correct |
1143 ms |
117116 KB |
Output is correct |
54 |
Correct |
1279 ms |
117092 KB |
Output is correct |
55 |
Correct |
1190 ms |
116924 KB |
Output is correct |
56 |
Correct |
1302 ms |
117072 KB |
Output is correct |
57 |
Correct |
1406 ms |
117136 KB |
Output is correct |
58 |
Correct |
1419 ms |
117164 KB |
Output is correct |
59 |
Correct |
1292 ms |
117172 KB |
Output is correct |
60 |
Correct |
1310 ms |
117220 KB |
Output is correct |
61 |
Correct |
1356 ms |
117268 KB |
Output is correct |
62 |
Correct |
1403 ms |
117108 KB |
Output is correct |
63 |
Correct |
1290 ms |
117288 KB |
Output is correct |
64 |
Correct |
1040 ms |
117108 KB |
Output is correct |
65 |
Correct |
1138 ms |
117216 KB |
Output is correct |
66 |
Correct |
615 ms |
108336 KB |
Output is correct |
67 |
Correct |
721 ms |
111132 KB |
Output is correct |
68 |
Correct |
868 ms |
114224 KB |
Output is correct |
69 |
Correct |
809 ms |
112404 KB |
Output is correct |
70 |
Correct |
1036 ms |
119928 KB |
Output is correct |
71 |
Correct |
1111 ms |
120180 KB |
Output is correct |
72 |
Correct |
1152 ms |
120264 KB |
Output is correct |
73 |
Correct |
1170 ms |
120316 KB |
Output is correct |
74 |
Correct |
833 ms |
113872 KB |
Output is correct |
75 |
Correct |
956 ms |
119468 KB |
Output is correct |
76 |
Correct |
1567 ms |
119444 KB |
Output is correct |
77 |
Correct |
1416 ms |
113860 KB |
Output is correct |
78 |
Correct |
1634 ms |
113840 KB |
Output is correct |
79 |
Correct |
1384 ms |
120204 KB |
Output is correct |
80 |
Correct |
1945 ms |
113924 KB |
Output is correct |
81 |
Correct |
1304 ms |
120112 KB |
Output is correct |
82 |
Correct |
1856 ms |
113888 KB |
Output is correct |
83 |
Correct |
1530 ms |
120468 KB |
Output is correct |
84 |
Correct |
1832 ms |
113936 KB |
Output is correct |
85 |
Correct |
1361 ms |
120360 KB |
Output is correct |
86 |
Correct |
1931 ms |
113792 KB |
Output is correct |
87 |
Correct |
1407 ms |
120552 KB |
Output is correct |
88 |
Correct |
1649 ms |
114068 KB |
Output is correct |
89 |
Correct |
1096 ms |
120236 KB |
Output is correct |