#include "fish.h"
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define pb push_back
#define mp make_pair
#define fr first
#define sc second
#define all(x) x.begin(),x.end()
const int maxn = 1e5+10;
const int maxqh = 12;
const int inf = 1e18+10;
int n, m;
vector<vector<int>> dp[maxn];
map<int,int> pf[maxn];
vector<pair<int,int>> fish[maxn]; // fishs from column i
vector<int> hr[maxn]; // important heights from column i, the ones that can be chosen
long long max_weights(int32_t N, int32_t M, vector<int32_t> X, vector<int32_t> Y, vector<int32_t> W) {
n = N;
m = M;
for(int i = 0; i < m; i++) {
fish[X[i]+1].pb(mp(Y[i]+1,W[i]));
hr[X[i]+1].pb(Y[i]);
}
for(int i = 0; i <= n; i++) {
hr[i].pb(0);
hr[i].pb(n);
sort(all(hr[i]));
sort(all(fish[i]));
hr[i].erase(unique(all(hr[i])),hr[i].end());
// Store only the relevant heights
for(int j = 0; j < hr[i].size(); j++) {
dp[i].pb({0,0});
}
}
for(int i = 1; i <= n; i++) {
for(auto j : hr[i-1]) pf[i][j] = 0;
for(auto j : hr[i]) pf[i][j] = 0;
for(auto j : hr[i+1]) pf[i][j] = 0;
for(auto aux : fish[i]) {
int y = aux.fr;
int w = aux.sc;
pf[i][y]+= w;
}
// Do a prefix sum on the weight of the fishs
pf[i][0] = 0;
for(auto it = next(pf[i].begin()); it != pf[i].end(); it++) {
it->sc+= prev(it)->sc;
}
}
// dp[i][h0][0/1] = until i, with h[i] = hr[i][h0]
// and it's greater/smaller tha the previous
// dp[1][h0][0/1] = 0
for(int i = 0; i < hr[1].size(); i++) {
dp[1][i][0] = 0;
dp[1][i][1] = 0;
}
for(int i = 2; i <= n; i++) {
for(int h0 = 0; h0 < hr[i].size(); h0++) {
// It's greater than the previous
dp[i][h0][0] = 0;
for(int h1 = 0; h1 < hr[i-1].size(); h1++) {
if(hr[i-1][h1] > hr[i][h0]) continue;
dp[i][h0][0] = max(dp[i][h0][0], dp[i-1][h1][0]-pf[i-1][hr[i-1][h1]] + pf[i-1][hr[i][h0]]);
}
if(i != 2) {
for(int h2 = 0; h2 < hr[i-2].size(); h2++) {
if(hr[i-2][h2] > hr[i][h0]) continue;
dp[i][h0][0] = max(dp[i][h0][0], dp[i-2][h2][1] + pf[i-1][max(hr[i][h0],hr[i-2][h2])]);
dp[i][h0][0] = max(dp[i][h0][0], dp[i-2][h2][0] + pf[i-1][max(hr[i][h0],hr[i-2][h2])]);
}
}
// It's smaller than the previous
dp[i][h0][1] = 0;
for(int h1 = 0; h1 < hr[i-1].size(); h1++) {
if(hr[i-1][h1] < hr[i][h0]) continue;
dp[i][h0][1] = max(dp[i][h0][1], dp[i-1][h1][0] + pf[i][hr[i-1][h1]] - pf[i][hr[i][h0]]);
dp[i][h0][1] = max(dp[i][h0][1], dp[i-1][h1][1] + pf[i][hr[i-1][h1]] - pf[i][hr[i][h0]]);
}
}
}
// cout << dp[2][hr[4].size()-1][1] << endl;
int ans = 0;
for(int h0 = 0; h0 < hr[n].size(); h0++) {
ans = max(ans, dp[n][h0][0]);
ans = max(ans, dp[n][h0][1]);
}
return ans;
}
Compilation message
fish.cpp: In function 'long long int max_weights(int32_t, int32_t, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:38:26: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
38 | for(int j = 0; j < hr[i].size(); j++) {
| ~~^~~~~~~~~~~~~~
fish.cpp:64:22: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
64 | for(int i = 0; i < hr[1].size(); i++) {
| ~~^~~~~~~~~~~~~~
fish.cpp:70:28: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
70 | for(int h0 = 0; h0 < hr[i].size(); h0++) {
| ~~~^~~~~~~~~~~~~~
fish.cpp:73:32: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
73 | for(int h1 = 0; h1 < hr[i-1].size(); h1++) {
| ~~~^~~~~~~~~~~~~~~~
fish.cpp:79:36: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
79 | for(int h2 = 0; h2 < hr[i-2].size(); h2++) {
| ~~~^~~~~~~~~~~~~~~~
fish.cpp:88:32: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
88 | for(int h1 = 0; h1 < hr[i-1].size(); h1++) {
| ~~~^~~~~~~~~~~~~~~~
fish.cpp:99:24: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
99 | for(int h0 = 0; h0 < hr[n].size(); h0++) {
| ~~~^~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
188 ms |
56256 KB |
Output is correct |
2 |
Correct |
229 ms |
62932 KB |
Output is correct |
3 |
Correct |
57 ms |
40180 KB |
Output is correct |
4 |
Correct |
61 ms |
40156 KB |
Output is correct |
5 |
Execution timed out |
1006 ms |
129436 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
11988 KB |
Output is correct |
2 |
Execution timed out |
1100 ms |
70232 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
60 ms |
40140 KB |
Output is correct |
2 |
Correct |
59 ms |
40112 KB |
Output is correct |
3 |
Correct |
98 ms |
44512 KB |
Output is correct |
4 |
Correct |
91 ms |
44964 KB |
Output is correct |
5 |
Correct |
148 ms |
53404 KB |
Output is correct |
6 |
Correct |
141 ms |
53548 KB |
Output is correct |
7 |
Correct |
143 ms |
53532 KB |
Output is correct |
8 |
Correct |
145 ms |
53404 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
11988 KB |
Output is correct |
2 |
Correct |
6 ms |
11988 KB |
Output is correct |
3 |
Correct |
6 ms |
11944 KB |
Output is correct |
4 |
Correct |
7 ms |
11988 KB |
Output is correct |
5 |
Correct |
6 ms |
11988 KB |
Output is correct |
6 |
Correct |
6 ms |
11988 KB |
Output is correct |
7 |
Correct |
6 ms |
11988 KB |
Output is correct |
8 |
Correct |
6 ms |
11988 KB |
Output is correct |
9 |
Correct |
7 ms |
12136 KB |
Output is correct |
10 |
Correct |
9 ms |
12500 KB |
Output is correct |
11 |
Correct |
7 ms |
12244 KB |
Output is correct |
12 |
Correct |
8 ms |
12372 KB |
Output is correct |
13 |
Correct |
7 ms |
12084 KB |
Output is correct |
14 |
Correct |
7 ms |
12244 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
11988 KB |
Output is correct |
2 |
Correct |
6 ms |
11988 KB |
Output is correct |
3 |
Correct |
6 ms |
11944 KB |
Output is correct |
4 |
Correct |
7 ms |
11988 KB |
Output is correct |
5 |
Correct |
6 ms |
11988 KB |
Output is correct |
6 |
Correct |
6 ms |
11988 KB |
Output is correct |
7 |
Correct |
6 ms |
11988 KB |
Output is correct |
8 |
Correct |
6 ms |
11988 KB |
Output is correct |
9 |
Correct |
7 ms |
12136 KB |
Output is correct |
10 |
Correct |
9 ms |
12500 KB |
Output is correct |
11 |
Correct |
7 ms |
12244 KB |
Output is correct |
12 |
Correct |
8 ms |
12372 KB |
Output is correct |
13 |
Correct |
7 ms |
12084 KB |
Output is correct |
14 |
Correct |
7 ms |
12244 KB |
Output is correct |
15 |
Correct |
6 ms |
12116 KB |
Output is correct |
16 |
Correct |
19 ms |
12496 KB |
Output is correct |
17 |
Correct |
980 ms |
20712 KB |
Output is correct |
18 |
Execution timed out |
1080 ms |
21544 KB |
Time limit exceeded |
19 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
11988 KB |
Output is correct |
2 |
Correct |
6 ms |
11988 KB |
Output is correct |
3 |
Correct |
6 ms |
11944 KB |
Output is correct |
4 |
Correct |
7 ms |
11988 KB |
Output is correct |
5 |
Correct |
6 ms |
11988 KB |
Output is correct |
6 |
Correct |
6 ms |
11988 KB |
Output is correct |
7 |
Correct |
6 ms |
11988 KB |
Output is correct |
8 |
Correct |
6 ms |
11988 KB |
Output is correct |
9 |
Correct |
7 ms |
12136 KB |
Output is correct |
10 |
Correct |
9 ms |
12500 KB |
Output is correct |
11 |
Correct |
7 ms |
12244 KB |
Output is correct |
12 |
Correct |
8 ms |
12372 KB |
Output is correct |
13 |
Correct |
7 ms |
12084 KB |
Output is correct |
14 |
Correct |
7 ms |
12244 KB |
Output is correct |
15 |
Correct |
6 ms |
12116 KB |
Output is correct |
16 |
Correct |
19 ms |
12496 KB |
Output is correct |
17 |
Correct |
980 ms |
20712 KB |
Output is correct |
18 |
Execution timed out |
1080 ms |
21544 KB |
Time limit exceeded |
19 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
60 ms |
40140 KB |
Output is correct |
2 |
Correct |
59 ms |
40112 KB |
Output is correct |
3 |
Correct |
98 ms |
44512 KB |
Output is correct |
4 |
Correct |
91 ms |
44964 KB |
Output is correct |
5 |
Correct |
148 ms |
53404 KB |
Output is correct |
6 |
Correct |
141 ms |
53548 KB |
Output is correct |
7 |
Correct |
143 ms |
53532 KB |
Output is correct |
8 |
Correct |
145 ms |
53404 KB |
Output is correct |
9 |
Correct |
190 ms |
73964 KB |
Output is correct |
10 |
Correct |
104 ms |
41804 KB |
Output is correct |
11 |
Correct |
236 ms |
71636 KB |
Output is correct |
12 |
Correct |
6 ms |
11988 KB |
Output is correct |
13 |
Correct |
6 ms |
11988 KB |
Output is correct |
14 |
Correct |
6 ms |
11988 KB |
Output is correct |
15 |
Correct |
7 ms |
11996 KB |
Output is correct |
16 |
Correct |
7 ms |
11936 KB |
Output is correct |
17 |
Correct |
6 ms |
11988 KB |
Output is correct |
18 |
Correct |
63 ms |
40324 KB |
Output is correct |
19 |
Correct |
58 ms |
40324 KB |
Output is correct |
20 |
Correct |
59 ms |
40196 KB |
Output is correct |
21 |
Correct |
59 ms |
40180 KB |
Output is correct |
22 |
Correct |
209 ms |
77448 KB |
Output is correct |
23 |
Correct |
288 ms |
86724 KB |
Output is correct |
24 |
Correct |
286 ms |
88780 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
188 ms |
56256 KB |
Output is correct |
2 |
Correct |
229 ms |
62932 KB |
Output is correct |
3 |
Correct |
57 ms |
40180 KB |
Output is correct |
4 |
Correct |
61 ms |
40156 KB |
Output is correct |
5 |
Execution timed out |
1006 ms |
129436 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |