#include "fish.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int maxn = 1e5 + 10, smalln = 3010;
vector < pair < int, int > > col[maxn];
vector < int > state[maxn];
unordered_set < int > state_set[maxn];
ll dp[smalln][smalln][2];
ll val[smalln][smalln], pref[smalln][smalln];
ll get_sum(int col, int left, int right)
{
ll sum = pref[col][right];
if (left > 0)
sum = sum - pref[col][left - 1];
return sum;
}
long long max_weights(int N, int M, std::vector<int> X, std::vector<int> Y,
std::vector<int> W)
{
bool all_even = true, small_x = true;
for (int i = 0; i < M; i ++)
{
if (X[i] % 2 != 0)
all_even = false;
if (X[i] > 1)
small_x = false;
}
for (int i = 0; i < M; i ++)
{
col[X[i]].push_back({Y[i], W[i]});
}
for (int i = 0; i < N; i ++)
sort(col[i].begin(), col[i].end());
for (int i = 0; i < M; i ++)
{
if (X[i] != 0)
state_set[X[i] - 1].insert(Y[i] + 1);
if (X[i] != N - 1)
state_set[X[i] + 1].insert(Y[i] + 1);
}
for (int i = 0; i < N; i ++)
{
state_set[i].insert(0);
state_set[i].insert(N);
}
for (int i = 0; i < N; i ++)
{
for (auto it : state_set[i])
state[i].push_back(it);
sort(state[i].begin(), state[i].end());
}
if (all_even)
{
ll sum = 0;
for (int i = 0; i < M; i ++)
sum = sum + W[i];
return sum;
}
else if (small_x)
{
ll zero = 0, one = 0;
for (int i = 0; i < M; i ++)
{
if (X[i] == 0)
zero += W[i];
else
one += W[i];
}
if (N == 2)
return max(zero, one);
int to = 0;
ll cur = 0, ans = 0;
for (int i = 0; i < col[0].size(); i ++)
{
if (cur + one > ans)
ans = cur + one;
cur += col[0][i].second;
while(to < col[1].size() && col[1][to].first <= col[0][i].first)
{
one -= col[1][to].second;
to ++;
}
}
if (cur + one > ans)
ans = cur + one;
return ans;
}
for (int i = 0; i < M; i ++)
val[X[i]][Y[i]] = W[i];
/**for (int i = 0; i < N; i ++, cout << endl)
for (int j = 0; j < N; j ++)
cout << val[i][j] << " ";*/
for (int j = 0; j <= N; j ++)
dp[1][j][0] = dp[1][j][1] = 0;
for (int i = 0; i < N; i ++)
{
pref[i][0] = val[i][0];
for (int j = 1; j <= N; j ++)
{
pref[i][j] = pref[i][j - 1] + val[i][j];
}
}
for (int i = 1; i < N; i ++)
{
dp[i][0][1] = dp[i - 1][0][1];
for (int j = 1; j <= N; j ++)
{
dp[i][j][1] = max(dp[i][j - 1][1] + val[i - 1][j - 1], dp[i - 1][j][1]);
}
dp[i][N][0] = max(dp[i - 1][N][0], dp[i - 1][N][1]);
for (int j = N - 1; j >= 0; j --)
{
dp[i][j][0] = max(dp[i][j + 1][0] + val[i][j], max(dp[i - 1][j][0], dp[i - 1][j][1]));
}
if (i > 1)
{
ll best = max(dp[i - 2][0][0], dp[i - 2][0][1]);
for (int j = 1; j <= N; j ++)
{
dp[i][j][1] = max(best + get_sum(i - 1, 0, j - 1), dp[i][j][1]);
best = max(best, max(dp[i - 2][j][0], dp[i - 2][j][1]));
}
best = max(dp[i - 2][N][0], dp[i - 2][N][1]) + get_sum(i - 1, 0, N - 1);
for (int j = N; j > 0; j --)
{
dp[i][j][1] = max(best, dp[i][j][1]);
best = max(best, max(dp[i - 2][j][0], dp[i - 2][j][1]) + get_sum(i - 1, 0, j - 1));
}
}
for (int j = 0; j <= N; j ++)
{
if (state_set[i].find(j) == state_set[i].end())
dp[i][j][0] = dp[i][j][1] = 0;
//else
// cout << i << " " << j << " " << dp[i][j][0] << endl;
}
}
/**cout << "-----------" << endl;
for (int i = 0; i < N; i ++, cout << endl)
for (int j = 0; j <= N; j ++)
cout << dp[i][j][0] << " ";
cout << "-----------" << endl;
for (int i = 0; i < N; i ++, cout << endl)
for (int j = 0; j <= N; j ++)
cout << dp[i][j][1] << " ";*/
ll ans = 0;
for (int j = 0; j <= N; j ++)
for (int t = 0; t < 2; t ++)
ans = max(ans, dp[N - 1][j][t]);
return ans;
}
Compilation message
fish.cpp: In function 'long long int max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:87:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
87 | for (int i = 0; i < col[0].size(); i ++)
| ~~^~~~~~~~~~~~~~~
fish.cpp:92:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
92 | while(to < col[1].size() && col[1][to].first <= col[0][i].first)
| ~~~^~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
81 ms |
34836 KB |
Output is correct |
2 |
Correct |
99 ms |
38852 KB |
Output is correct |
3 |
Correct |
36 ms |
30784 KB |
Output is correct |
4 |
Correct |
36 ms |
30724 KB |
Output is correct |
5 |
Correct |
428 ms |
70772 KB |
Output is correct |
6 |
Correct |
500 ms |
67308 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
10452 KB |
Output is correct |
2 |
Correct |
151 ms |
44424 KB |
Output is correct |
3 |
Correct |
194 ms |
51812 KB |
Output is correct |
4 |
Correct |
82 ms |
34748 KB |
Output is correct |
5 |
Correct |
102 ms |
38820 KB |
Output is correct |
6 |
Correct |
7 ms |
10432 KB |
Output is correct |
7 |
Correct |
5 ms |
10384 KB |
Output is correct |
8 |
Correct |
6 ms |
10452 KB |
Output is correct |
9 |
Correct |
5 ms |
10452 KB |
Output is correct |
10 |
Correct |
37 ms |
30764 KB |
Output is correct |
11 |
Correct |
37 ms |
30776 KB |
Output is correct |
12 |
Correct |
94 ms |
38360 KB |
Output is correct |
13 |
Correct |
126 ms |
43708 KB |
Output is correct |
14 |
Correct |
95 ms |
36640 KB |
Output is correct |
15 |
Correct |
107 ms |
40440 KB |
Output is correct |
16 |
Correct |
103 ms |
36780 KB |
Output is correct |
17 |
Correct |
105 ms |
40388 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
35 ms |
30768 KB |
Output is correct |
2 |
Runtime error |
62 ms |
62368 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
10452 KB |
Output is correct |
2 |
Correct |
5 ms |
10580 KB |
Output is correct |
3 |
Correct |
5 ms |
10452 KB |
Output is correct |
4 |
Correct |
5 ms |
10452 KB |
Output is correct |
5 |
Correct |
5 ms |
10488 KB |
Output is correct |
6 |
Correct |
6 ms |
10452 KB |
Output is correct |
7 |
Correct |
6 ms |
10492 KB |
Output is correct |
8 |
Correct |
7 ms |
10452 KB |
Output is correct |
9 |
Correct |
7 ms |
12884 KB |
Output is correct |
10 |
Correct |
11 ms |
16468 KB |
Output is correct |
11 |
Correct |
9 ms |
12924 KB |
Output is correct |
12 |
Correct |
11 ms |
16420 KB |
Output is correct |
13 |
Correct |
7 ms |
11476 KB |
Output is correct |
14 |
Correct |
10 ms |
16340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
10452 KB |
Output is correct |
2 |
Correct |
5 ms |
10580 KB |
Output is correct |
3 |
Correct |
5 ms |
10452 KB |
Output is correct |
4 |
Correct |
5 ms |
10452 KB |
Output is correct |
5 |
Correct |
5 ms |
10488 KB |
Output is correct |
6 |
Correct |
6 ms |
10452 KB |
Output is correct |
7 |
Correct |
6 ms |
10492 KB |
Output is correct |
8 |
Correct |
7 ms |
10452 KB |
Output is correct |
9 |
Correct |
7 ms |
12884 KB |
Output is correct |
10 |
Correct |
11 ms |
16468 KB |
Output is correct |
11 |
Correct |
9 ms |
12924 KB |
Output is correct |
12 |
Correct |
11 ms |
16420 KB |
Output is correct |
13 |
Correct |
7 ms |
11476 KB |
Output is correct |
14 |
Correct |
10 ms |
16340 KB |
Output is correct |
15 |
Correct |
10 ms |
16332 KB |
Output is correct |
16 |
Correct |
7 ms |
11604 KB |
Output is correct |
17 |
Correct |
35 ms |
20756 KB |
Output is correct |
18 |
Correct |
34 ms |
20428 KB |
Output is correct |
19 |
Correct |
37 ms |
21076 KB |
Output is correct |
20 |
Correct |
33 ms |
20596 KB |
Output is correct |
21 |
Correct |
34 ms |
20552 KB |
Output is correct |
22 |
Correct |
59 ms |
24908 KB |
Output is correct |
23 |
Correct |
17 ms |
18012 KB |
Output is correct |
24 |
Correct |
29 ms |
20328 KB |
Output is correct |
25 |
Correct |
11 ms |
16308 KB |
Output is correct |
26 |
Correct |
15 ms |
17492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
10452 KB |
Output is correct |
2 |
Correct |
5 ms |
10580 KB |
Output is correct |
3 |
Correct |
5 ms |
10452 KB |
Output is correct |
4 |
Correct |
5 ms |
10452 KB |
Output is correct |
5 |
Correct |
5 ms |
10488 KB |
Output is correct |
6 |
Correct |
6 ms |
10452 KB |
Output is correct |
7 |
Correct |
6 ms |
10492 KB |
Output is correct |
8 |
Correct |
7 ms |
10452 KB |
Output is correct |
9 |
Correct |
7 ms |
12884 KB |
Output is correct |
10 |
Correct |
11 ms |
16468 KB |
Output is correct |
11 |
Correct |
9 ms |
12924 KB |
Output is correct |
12 |
Correct |
11 ms |
16420 KB |
Output is correct |
13 |
Correct |
7 ms |
11476 KB |
Output is correct |
14 |
Correct |
10 ms |
16340 KB |
Output is correct |
15 |
Correct |
10 ms |
16332 KB |
Output is correct |
16 |
Correct |
7 ms |
11604 KB |
Output is correct |
17 |
Correct |
35 ms |
20756 KB |
Output is correct |
18 |
Correct |
34 ms |
20428 KB |
Output is correct |
19 |
Correct |
37 ms |
21076 KB |
Output is correct |
20 |
Correct |
33 ms |
20596 KB |
Output is correct |
21 |
Correct |
34 ms |
20552 KB |
Output is correct |
22 |
Correct |
59 ms |
24908 KB |
Output is correct |
23 |
Correct |
17 ms |
18012 KB |
Output is correct |
24 |
Correct |
29 ms |
20328 KB |
Output is correct |
25 |
Correct |
11 ms |
16308 KB |
Output is correct |
26 |
Correct |
15 ms |
17492 KB |
Output is correct |
27 |
Correct |
230 ms |
235556 KB |
Output is correct |
28 |
Correct |
192 ms |
54216 KB |
Output is correct |
29 |
Correct |
532 ms |
260400 KB |
Output is correct |
30 |
Correct |
702 ms |
306296 KB |
Output is correct |
31 |
Correct |
679 ms |
306732 KB |
Output is correct |
32 |
Correct |
249 ms |
54336 KB |
Output is correct |
33 |
Correct |
708 ms |
331056 KB |
Output is correct |
34 |
Correct |
704 ms |
331192 KB |
Output is correct |
35 |
Correct |
366 ms |
251920 KB |
Output is correct |
36 |
Correct |
621 ms |
274264 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
35 ms |
30768 KB |
Output is correct |
2 |
Runtime error |
62 ms |
62368 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
81 ms |
34836 KB |
Output is correct |
2 |
Correct |
99 ms |
38852 KB |
Output is correct |
3 |
Correct |
36 ms |
30784 KB |
Output is correct |
4 |
Correct |
36 ms |
30724 KB |
Output is correct |
5 |
Correct |
428 ms |
70772 KB |
Output is correct |
6 |
Correct |
500 ms |
67308 KB |
Output is correct |
7 |
Correct |
6 ms |
10452 KB |
Output is correct |
8 |
Correct |
151 ms |
44424 KB |
Output is correct |
9 |
Correct |
194 ms |
51812 KB |
Output is correct |
10 |
Correct |
82 ms |
34748 KB |
Output is correct |
11 |
Correct |
102 ms |
38820 KB |
Output is correct |
12 |
Correct |
7 ms |
10432 KB |
Output is correct |
13 |
Correct |
5 ms |
10384 KB |
Output is correct |
14 |
Correct |
6 ms |
10452 KB |
Output is correct |
15 |
Correct |
5 ms |
10452 KB |
Output is correct |
16 |
Correct |
37 ms |
30764 KB |
Output is correct |
17 |
Correct |
37 ms |
30776 KB |
Output is correct |
18 |
Correct |
94 ms |
38360 KB |
Output is correct |
19 |
Correct |
126 ms |
43708 KB |
Output is correct |
20 |
Correct |
95 ms |
36640 KB |
Output is correct |
21 |
Correct |
107 ms |
40440 KB |
Output is correct |
22 |
Correct |
103 ms |
36780 KB |
Output is correct |
23 |
Correct |
105 ms |
40388 KB |
Output is correct |
24 |
Correct |
35 ms |
30768 KB |
Output is correct |
25 |
Runtime error |
62 ms |
62368 KB |
Execution killed with signal 11 |
26 |
Halted |
0 ms |
0 KB |
- |