#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
#define pb push_back
const int N = 1e5 + 100;
long long max_weights(int n, int m, vector<int> x, vector<int> y, vector<int> w){
vector<ll> fishes[N];
vector<vector<int>> states(n + 1, {0});
for(int i = 0; i < m; ++i){
++y[i];
for(int k = max(0, x[i] - 1); k <= min(n - 1, x[i] + 1); ++k){
states[k].pb(y[i]);
}
}
for(int i = 0; i <= n; ++i){
sort(states[i].begin(), states[i].end());
states[i].erase(unique(states[i].begin(), states[i].end()), states[i].end());
fishes[i].resize(states[i].size());
}
for(int i = 0; i < m; ++i){
int j = x[i];
int Y = lower_bound(states[j].begin(), states[j].end(), y[i]) - states[j].begin();
fishes[j][Y] += w[i];
}
vector<vector<ll>> dp_up(n + 1), dp_down(n + 1);
for(int i = 0; i <= n; ++i){
int sz = states[i].size();
dp_up[i].resize(sz, 0);
dp_down[i].resize(sz, 0);
if(i > 0){
ll best = dp_down[i - 1][0], sum = 0;
for(int j = 0, left = 0; j < sz; ++j){
while(left + 1 < states[i - 1].size() && states[i - 1][left + 1] <= states[i][j]){
++left;
best += fishes[i - 1][left];
best = max(best, dp_down[i - 1][left]);
}
dp_down[i][j] = max(dp_down[i][j], best);
}
best = 0;
sum = accumulate(fishes[i].begin(), fishes[i].end(), 0ll);
for(int j = sz - 1, left = states[i - 1].size(); j >= 0; --j){
while(left > 0 && states[i - 1][left - 1] >= states[i][j]){
--left;
best = max(best, max(dp_up[i - 1][left], dp_down[i - 1][left]) + sum);
}
dp_up[i][j] = max(dp_up[i][j], best - sum);
sum -= fishes[i][j];
}
}
if(i > 1){
ll best = max(dp_down[i - 2][0], dp_up[i - 2][0]), sum = 0;
for(int j = 0, left = 0, leftt = 0; j < sz; ++j){
while(leftt + 1 < states[i - 2].size() && states[i - 2][leftt + 1] <= states[i][j]){
++leftt;
while(left + 1 < states[i - 1].size() && states[i - 1][left + 1] <= states[i][j]){
++left;
sum += fishes[i - 1][left];
best += fishes[i - 1][left];
}
best = max(best, max(dp_down[i - 2][leftt], dp_up[i - 2][leftt]) + sum);
}
dp_down[i][j] = max(dp_down[i][j], best);
}
best = 0;
sum = accumulate(fishes[i - 1].begin(), fishes[i - 1].end(), 0ll);
for(int j = sz - 1, left = states[i - 1].size(), leftt = states[i - 2].size(); j >= 0; --j){
while(leftt - 1 > 0 && states[i - 2][leftt - 1] >= states[i][j]){
--leftt;
while(left - 1 > 0 && states[i - 1][left - 1] >= states[i - 2][leftt]){
--left;
sum -= fishes[i - 1][left];
}
best = max(best, max(dp_down[i - 2][leftt], dp_up[i - 2][leftt]) + sum);
}
dp_down[i][j] = max(dp_down[i][j], best);
}
}
}
return max(dp_up[n][0], dp_down[n][0]);
}
Compilation message
fish.cpp: In function 'long long int max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:36:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
36 | while(left + 1 < states[i - 1].size() && states[i - 1][left + 1] <= states[i][j]){
| ~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
fish.cpp:57:33: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
57 | while(leftt + 1 < states[i - 2].size() && states[i - 2][leftt + 1] <= states[i][j]){
| ~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
fish.cpp:59:36: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
59 | while(left + 1 < states[i - 1].size() && states[i - 1][left + 1] <= states[i][j]){
| ~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
71 ms |
26480 KB |
Output is correct |
2 |
Correct |
85 ms |
30008 KB |
Output is correct |
3 |
Correct |
33 ms |
22176 KB |
Output is correct |
4 |
Correct |
30 ms |
22180 KB |
Output is correct |
5 |
Correct |
229 ms |
54076 KB |
Output is correct |
6 |
Correct |
289 ms |
50888 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
130 ms |
31660 KB |
Output is correct |
3 |
Correct |
152 ms |
35948 KB |
Output is correct |
4 |
Correct |
71 ms |
26480 KB |
Output is correct |
5 |
Correct |
85 ms |
30004 KB |
Output is correct |
6 |
Correct |
1 ms |
2644 KB |
Output is correct |
7 |
Correct |
1 ms |
2644 KB |
Output is correct |
8 |
Correct |
1 ms |
2640 KB |
Output is correct |
9 |
Correct |
1 ms |
2644 KB |
Output is correct |
10 |
Correct |
30 ms |
22168 KB |
Output is correct |
11 |
Correct |
29 ms |
22184 KB |
Output is correct |
12 |
Correct |
78 ms |
28760 KB |
Output is correct |
13 |
Correct |
100 ms |
32812 KB |
Output is correct |
14 |
Correct |
77 ms |
27716 KB |
Output is correct |
15 |
Correct |
83 ms |
28604 KB |
Output is correct |
16 |
Correct |
77 ms |
27724 KB |
Output is correct |
17 |
Correct |
85 ms |
30476 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
30 ms |
22168 KB |
Output is correct |
2 |
Correct |
30 ms |
22100 KB |
Output is correct |
3 |
Correct |
56 ms |
21428 KB |
Output is correct |
4 |
Correct |
50 ms |
23220 KB |
Output is correct |
5 |
Correct |
86 ms |
24792 KB |
Output is correct |
6 |
Correct |
87 ms |
24844 KB |
Output is correct |
7 |
Correct |
87 ms |
24792 KB |
Output is correct |
8 |
Correct |
85 ms |
24748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
1 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
2 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2644 KB |
Output is correct |
6 |
Correct |
2 ms |
2644 KB |
Output is correct |
7 |
Correct |
1 ms |
2644 KB |
Output is correct |
8 |
Correct |
2 ms |
2644 KB |
Output is correct |
9 |
Correct |
2 ms |
2644 KB |
Output is correct |
10 |
Correct |
3 ms |
2796 KB |
Output is correct |
11 |
Correct |
2 ms |
2644 KB |
Output is correct |
12 |
Correct |
2 ms |
2772 KB |
Output is correct |
13 |
Correct |
2 ms |
2660 KB |
Output is correct |
14 |
Correct |
2 ms |
2772 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
1 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
2 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2644 KB |
Output is correct |
6 |
Correct |
2 ms |
2644 KB |
Output is correct |
7 |
Correct |
1 ms |
2644 KB |
Output is correct |
8 |
Correct |
2 ms |
2644 KB |
Output is correct |
9 |
Correct |
2 ms |
2644 KB |
Output is correct |
10 |
Correct |
3 ms |
2796 KB |
Output is correct |
11 |
Correct |
2 ms |
2644 KB |
Output is correct |
12 |
Correct |
2 ms |
2772 KB |
Output is correct |
13 |
Correct |
2 ms |
2660 KB |
Output is correct |
14 |
Correct |
2 ms |
2772 KB |
Output is correct |
15 |
Correct |
2 ms |
2716 KB |
Output is correct |
16 |
Correct |
3 ms |
2744 KB |
Output is correct |
17 |
Correct |
24 ms |
6708 KB |
Output is correct |
18 |
Correct |
24 ms |
6392 KB |
Output is correct |
19 |
Correct |
23 ms |
6316 KB |
Output is correct |
20 |
Correct |
26 ms |
6220 KB |
Output is correct |
21 |
Correct |
27 ms |
6196 KB |
Output is correct |
22 |
Correct |
52 ms |
9652 KB |
Output is correct |
23 |
Correct |
7 ms |
3768 KB |
Output is correct |
24 |
Correct |
18 ms |
5972 KB |
Output is correct |
25 |
Correct |
2 ms |
2744 KB |
Output is correct |
26 |
Correct |
6 ms |
3668 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
1 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
2 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2644 KB |
Output is correct |
6 |
Correct |
2 ms |
2644 KB |
Output is correct |
7 |
Correct |
1 ms |
2644 KB |
Output is correct |
8 |
Correct |
2 ms |
2644 KB |
Output is correct |
9 |
Correct |
2 ms |
2644 KB |
Output is correct |
10 |
Correct |
3 ms |
2796 KB |
Output is correct |
11 |
Correct |
2 ms |
2644 KB |
Output is correct |
12 |
Correct |
2 ms |
2772 KB |
Output is correct |
13 |
Correct |
2 ms |
2660 KB |
Output is correct |
14 |
Correct |
2 ms |
2772 KB |
Output is correct |
15 |
Correct |
2 ms |
2716 KB |
Output is correct |
16 |
Correct |
3 ms |
2744 KB |
Output is correct |
17 |
Correct |
24 ms |
6708 KB |
Output is correct |
18 |
Correct |
24 ms |
6392 KB |
Output is correct |
19 |
Correct |
23 ms |
6316 KB |
Output is correct |
20 |
Correct |
26 ms |
6220 KB |
Output is correct |
21 |
Correct |
27 ms |
6196 KB |
Output is correct |
22 |
Correct |
52 ms |
9652 KB |
Output is correct |
23 |
Correct |
7 ms |
3768 KB |
Output is correct |
24 |
Correct |
18 ms |
5972 KB |
Output is correct |
25 |
Correct |
2 ms |
2744 KB |
Output is correct |
26 |
Correct |
6 ms |
3668 KB |
Output is correct |
27 |
Correct |
4 ms |
3412 KB |
Output is correct |
28 |
Correct |
116 ms |
20980 KB |
Output is correct |
29 |
Correct |
182 ms |
31568 KB |
Output is correct |
30 |
Correct |
207 ms |
42208 KB |
Output is correct |
31 |
Correct |
205 ms |
41932 KB |
Output is correct |
32 |
Correct |
172 ms |
26576 KB |
Output is correct |
33 |
Correct |
211 ms |
42700 KB |
Output is correct |
34 |
Correct |
210 ms |
42704 KB |
Output is correct |
35 |
Correct |
73 ms |
15732 KB |
Output is correct |
36 |
Correct |
194 ms |
37860 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
30 ms |
22168 KB |
Output is correct |
2 |
Correct |
30 ms |
22100 KB |
Output is correct |
3 |
Correct |
56 ms |
21428 KB |
Output is correct |
4 |
Correct |
50 ms |
23220 KB |
Output is correct |
5 |
Correct |
86 ms |
24792 KB |
Output is correct |
6 |
Correct |
87 ms |
24844 KB |
Output is correct |
7 |
Correct |
87 ms |
24792 KB |
Output is correct |
8 |
Correct |
85 ms |
24748 KB |
Output is correct |
9 |
Correct |
99 ms |
29388 KB |
Output is correct |
10 |
Correct |
68 ms |
15868 KB |
Output is correct |
11 |
Correct |
169 ms |
29052 KB |
Output is correct |
12 |
Correct |
2 ms |
2644 KB |
Output is correct |
13 |
Correct |
2 ms |
2608 KB |
Output is correct |
14 |
Correct |
2 ms |
2644 KB |
Output is correct |
15 |
Correct |
2 ms |
2644 KB |
Output is correct |
16 |
Correct |
2 ms |
2600 KB |
Output is correct |
17 |
Correct |
2 ms |
2644 KB |
Output is correct |
18 |
Correct |
30 ms |
22164 KB |
Output is correct |
19 |
Correct |
30 ms |
22100 KB |
Output is correct |
20 |
Correct |
29 ms |
22156 KB |
Output is correct |
21 |
Correct |
33 ms |
22196 KB |
Output is correct |
22 |
Correct |
129 ms |
29012 KB |
Output is correct |
23 |
Correct |
169 ms |
34516 KB |
Output is correct |
24 |
Correct |
179 ms |
39148 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
71 ms |
26480 KB |
Output is correct |
2 |
Correct |
85 ms |
30008 KB |
Output is correct |
3 |
Correct |
33 ms |
22176 KB |
Output is correct |
4 |
Correct |
30 ms |
22180 KB |
Output is correct |
5 |
Correct |
229 ms |
54076 KB |
Output is correct |
6 |
Correct |
289 ms |
50888 KB |
Output is correct |
7 |
Correct |
1 ms |
2644 KB |
Output is correct |
8 |
Correct |
130 ms |
31660 KB |
Output is correct |
9 |
Correct |
152 ms |
35948 KB |
Output is correct |
10 |
Correct |
71 ms |
26480 KB |
Output is correct |
11 |
Correct |
85 ms |
30004 KB |
Output is correct |
12 |
Correct |
1 ms |
2644 KB |
Output is correct |
13 |
Correct |
1 ms |
2644 KB |
Output is correct |
14 |
Correct |
1 ms |
2640 KB |
Output is correct |
15 |
Correct |
1 ms |
2644 KB |
Output is correct |
16 |
Correct |
30 ms |
22168 KB |
Output is correct |
17 |
Correct |
29 ms |
22184 KB |
Output is correct |
18 |
Correct |
78 ms |
28760 KB |
Output is correct |
19 |
Correct |
100 ms |
32812 KB |
Output is correct |
20 |
Correct |
77 ms |
27716 KB |
Output is correct |
21 |
Correct |
83 ms |
28604 KB |
Output is correct |
22 |
Correct |
77 ms |
27724 KB |
Output is correct |
23 |
Correct |
85 ms |
30476 KB |
Output is correct |
24 |
Correct |
30 ms |
22168 KB |
Output is correct |
25 |
Correct |
30 ms |
22100 KB |
Output is correct |
26 |
Correct |
56 ms |
21428 KB |
Output is correct |
27 |
Correct |
50 ms |
23220 KB |
Output is correct |
28 |
Correct |
86 ms |
24792 KB |
Output is correct |
29 |
Correct |
87 ms |
24844 KB |
Output is correct |
30 |
Correct |
87 ms |
24792 KB |
Output is correct |
31 |
Correct |
85 ms |
24748 KB |
Output is correct |
32 |
Correct |
1 ms |
2644 KB |
Output is correct |
33 |
Correct |
1 ms |
2644 KB |
Output is correct |
34 |
Correct |
2 ms |
2644 KB |
Output is correct |
35 |
Correct |
2 ms |
2644 KB |
Output is correct |
36 |
Correct |
2 ms |
2644 KB |
Output is correct |
37 |
Correct |
2 ms |
2644 KB |
Output is correct |
38 |
Correct |
1 ms |
2644 KB |
Output is correct |
39 |
Correct |
2 ms |
2644 KB |
Output is correct |
40 |
Correct |
2 ms |
2644 KB |
Output is correct |
41 |
Correct |
3 ms |
2796 KB |
Output is correct |
42 |
Correct |
2 ms |
2644 KB |
Output is correct |
43 |
Correct |
2 ms |
2772 KB |
Output is correct |
44 |
Correct |
2 ms |
2660 KB |
Output is correct |
45 |
Correct |
2 ms |
2772 KB |
Output is correct |
46 |
Correct |
2 ms |
2716 KB |
Output is correct |
47 |
Correct |
3 ms |
2744 KB |
Output is correct |
48 |
Correct |
24 ms |
6708 KB |
Output is correct |
49 |
Correct |
24 ms |
6392 KB |
Output is correct |
50 |
Correct |
23 ms |
6316 KB |
Output is correct |
51 |
Correct |
26 ms |
6220 KB |
Output is correct |
52 |
Correct |
27 ms |
6196 KB |
Output is correct |
53 |
Correct |
52 ms |
9652 KB |
Output is correct |
54 |
Correct |
7 ms |
3768 KB |
Output is correct |
55 |
Correct |
18 ms |
5972 KB |
Output is correct |
56 |
Correct |
2 ms |
2744 KB |
Output is correct |
57 |
Correct |
6 ms |
3668 KB |
Output is correct |
58 |
Correct |
4 ms |
3412 KB |
Output is correct |
59 |
Correct |
116 ms |
20980 KB |
Output is correct |
60 |
Correct |
182 ms |
31568 KB |
Output is correct |
61 |
Correct |
207 ms |
42208 KB |
Output is correct |
62 |
Correct |
205 ms |
41932 KB |
Output is correct |
63 |
Correct |
172 ms |
26576 KB |
Output is correct |
64 |
Correct |
211 ms |
42700 KB |
Output is correct |
65 |
Correct |
210 ms |
42704 KB |
Output is correct |
66 |
Correct |
73 ms |
15732 KB |
Output is correct |
67 |
Correct |
194 ms |
37860 KB |
Output is correct |
68 |
Correct |
99 ms |
29388 KB |
Output is correct |
69 |
Correct |
68 ms |
15868 KB |
Output is correct |
70 |
Correct |
169 ms |
29052 KB |
Output is correct |
71 |
Correct |
2 ms |
2644 KB |
Output is correct |
72 |
Correct |
2 ms |
2608 KB |
Output is correct |
73 |
Correct |
2 ms |
2644 KB |
Output is correct |
74 |
Correct |
2 ms |
2644 KB |
Output is correct |
75 |
Correct |
2 ms |
2600 KB |
Output is correct |
76 |
Correct |
2 ms |
2644 KB |
Output is correct |
77 |
Correct |
30 ms |
22164 KB |
Output is correct |
78 |
Correct |
30 ms |
22100 KB |
Output is correct |
79 |
Correct |
29 ms |
22156 KB |
Output is correct |
80 |
Correct |
33 ms |
22196 KB |
Output is correct |
81 |
Correct |
129 ms |
29012 KB |
Output is correct |
82 |
Correct |
169 ms |
34516 KB |
Output is correct |
83 |
Correct |
179 ms |
39148 KB |
Output is correct |
84 |
Correct |
262 ms |
55500 KB |
Output is correct |
85 |
Correct |
250 ms |
56960 KB |
Output is correct |
86 |
Correct |
290 ms |
55744 KB |
Output is correct |
87 |
Correct |
303 ms |
57292 KB |
Output is correct |
88 |
Correct |
2 ms |
2644 KB |
Output is correct |
89 |
Correct |
306 ms |
57308 KB |
Output is correct |
90 |
Correct |
239 ms |
53068 KB |
Output is correct |
91 |
Correct |
195 ms |
47420 KB |
Output is correct |