#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], pfmx0[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 h0 = 0; h0 < hr[1].size(); h0++) {
dp[1][h0][0] = 0;
dp[1][h0][1] = 0;
pfmx0[1][hr[1][h0]] = max(pfmx0[1][hr[1][h0]],dp[1][h0][0]-pf[1][hr[1][h0]]);
}
for(auto j : hr[2]) {
pfmx0[1][j] = max(pfmx0[1][j],0LL);
}
for(auto it = next(pfmx0[1].begin()); it != pfmx0[1].end(); it++) {
it->sc = max(it->sc,prev(it)->sc);
}
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]]);
// }
dp[i][h0][0] = max(dp[i][h0][0], pfmx0[i-1][hr[i][h0]] + 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][hr[i][h0]]);
dp[i][h0][0] = max(dp[i][h0][0], dp[i-2][h2][0] + pf[i-1][hr[i][h0]]);
}
}
// 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][h0]] + pf[i][hr[i-1][h1]]);
dp[i][h0][1] = max(dp[i][h0][1], dp[i-1][h1][1]-pf[i][hr[i][h0]] + pf[i][hr[i-1][h1]]);
}
pfmx0[i][hr[i][h0]] = max(pfmx0[i][hr[i][h0]],dp[i][h0][0]-pf[i][hr[i][h0]]);
}
if(i == n) continue;
for(auto j : hr[i+1]) {
pfmx0[i][j] = max(pfmx0[i][j],0LL);
}
for(auto it = next(pfmx0[i].begin()); it != pfmx0[i].end(); it++) {
it->sc = max(it->sc,prev(it)->sc);
}
}
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:64:24: 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]
64 | for(int h0 = 0; h0 < hr[1].size(); h0++) {
| ~~~^~~~~~~~~~~~~~
fish.cpp:79:28: 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]
79 | for(int h0 = 0; h0 < hr[i].size(); h0++) {
| ~~~^~~~~~~~~~~~~~
fish.cpp:90:36: 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]
90 | for(int h2 = 0; h2 < hr[i-2].size(); h2++) {
| ~~~^~~~~~~~~~~~~~~~
fish.cpp:99:32: 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]
99 | for(int h1 = 0; h1 < hr[i-1].size(); h1++) {
| ~~~^~~~~~~~~~~~~~~~
fish.cpp:120:24: 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]
120 | for(int h0 = 0; h0 < hr[n].size(); h0++) {
| ~~~^~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
222 ms |
77192 KB |
Output is correct |
2 |
Correct |
287 ms |
86304 KB |
Output is correct |
3 |
Correct |
85 ms |
57384 KB |
Output is correct |
4 |
Correct |
81 ms |
57376 KB |
Output is correct |
5 |
Execution timed out |
1100 ms |
182520 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
16724 KB |
Output is correct |
2 |
Execution timed out |
1093 ms |
80596 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
85 ms |
57424 KB |
Output is correct |
2 |
Correct |
80 ms |
57412 KB |
Output is correct |
3 |
Correct |
113 ms |
60480 KB |
Output is correct |
4 |
Correct |
109 ms |
62164 KB |
Output is correct |
5 |
Correct |
190 ms |
70640 KB |
Output is correct |
6 |
Correct |
161 ms |
70632 KB |
Output is correct |
7 |
Correct |
159 ms |
70748 KB |
Output is correct |
8 |
Correct |
167 ms |
70644 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
16724 KB |
Output is correct |
2 |
Correct |
9 ms |
16656 KB |
Output is correct |
3 |
Correct |
8 ms |
16724 KB |
Output is correct |
4 |
Correct |
9 ms |
16724 KB |
Output is correct |
5 |
Correct |
9 ms |
16724 KB |
Output is correct |
6 |
Correct |
8 ms |
16724 KB |
Output is correct |
7 |
Correct |
9 ms |
16724 KB |
Output is correct |
8 |
Correct |
8 ms |
16724 KB |
Output is correct |
9 |
Correct |
11 ms |
16852 KB |
Output is correct |
10 |
Correct |
14 ms |
17408 KB |
Output is correct |
11 |
Correct |
10 ms |
17012 KB |
Output is correct |
12 |
Correct |
11 ms |
17132 KB |
Output is correct |
13 |
Correct |
9 ms |
16724 KB |
Output is correct |
14 |
Correct |
10 ms |
17088 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
16724 KB |
Output is correct |
2 |
Correct |
9 ms |
16656 KB |
Output is correct |
3 |
Correct |
8 ms |
16724 KB |
Output is correct |
4 |
Correct |
9 ms |
16724 KB |
Output is correct |
5 |
Correct |
9 ms |
16724 KB |
Output is correct |
6 |
Correct |
8 ms |
16724 KB |
Output is correct |
7 |
Correct |
9 ms |
16724 KB |
Output is correct |
8 |
Correct |
8 ms |
16724 KB |
Output is correct |
9 |
Correct |
11 ms |
16852 KB |
Output is correct |
10 |
Correct |
14 ms |
17408 KB |
Output is correct |
11 |
Correct |
10 ms |
17012 KB |
Output is correct |
12 |
Correct |
11 ms |
17132 KB |
Output is correct |
13 |
Correct |
9 ms |
16724 KB |
Output is correct |
14 |
Correct |
10 ms |
17088 KB |
Output is correct |
15 |
Correct |
9 ms |
17024 KB |
Output is correct |
16 |
Correct |
18 ms |
17364 KB |
Output is correct |
17 |
Correct |
681 ms |
28916 KB |
Output is correct |
18 |
Correct |
753 ms |
29392 KB |
Output is correct |
19 |
Correct |
428 ms |
29360 KB |
Output is correct |
20 |
Correct |
424 ms |
28620 KB |
Output is correct |
21 |
Correct |
417 ms |
28440 KB |
Output is correct |
22 |
Execution timed out |
1096 ms |
38076 KB |
Time limit exceeded |
23 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
16724 KB |
Output is correct |
2 |
Correct |
9 ms |
16656 KB |
Output is correct |
3 |
Correct |
8 ms |
16724 KB |
Output is correct |
4 |
Correct |
9 ms |
16724 KB |
Output is correct |
5 |
Correct |
9 ms |
16724 KB |
Output is correct |
6 |
Correct |
8 ms |
16724 KB |
Output is correct |
7 |
Correct |
9 ms |
16724 KB |
Output is correct |
8 |
Correct |
8 ms |
16724 KB |
Output is correct |
9 |
Correct |
11 ms |
16852 KB |
Output is correct |
10 |
Correct |
14 ms |
17408 KB |
Output is correct |
11 |
Correct |
10 ms |
17012 KB |
Output is correct |
12 |
Correct |
11 ms |
17132 KB |
Output is correct |
13 |
Correct |
9 ms |
16724 KB |
Output is correct |
14 |
Correct |
10 ms |
17088 KB |
Output is correct |
15 |
Correct |
9 ms |
17024 KB |
Output is correct |
16 |
Correct |
18 ms |
17364 KB |
Output is correct |
17 |
Correct |
681 ms |
28916 KB |
Output is correct |
18 |
Correct |
753 ms |
29392 KB |
Output is correct |
19 |
Correct |
428 ms |
29360 KB |
Output is correct |
20 |
Correct |
424 ms |
28620 KB |
Output is correct |
21 |
Correct |
417 ms |
28440 KB |
Output is correct |
22 |
Execution timed out |
1096 ms |
38076 KB |
Time limit exceeded |
23 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
85 ms |
57424 KB |
Output is correct |
2 |
Correct |
80 ms |
57412 KB |
Output is correct |
3 |
Correct |
113 ms |
60480 KB |
Output is correct |
4 |
Correct |
109 ms |
62164 KB |
Output is correct |
5 |
Correct |
190 ms |
70640 KB |
Output is correct |
6 |
Correct |
161 ms |
70632 KB |
Output is correct |
7 |
Correct |
159 ms |
70748 KB |
Output is correct |
8 |
Correct |
167 ms |
70644 KB |
Output is correct |
9 |
Correct |
238 ms |
103632 KB |
Output is correct |
10 |
Correct |
139 ms |
55808 KB |
Output is correct |
11 |
Correct |
261 ms |
95008 KB |
Output is correct |
12 |
Correct |
9 ms |
16724 KB |
Output is correct |
13 |
Correct |
10 ms |
16740 KB |
Output is correct |
14 |
Correct |
9 ms |
16724 KB |
Output is correct |
15 |
Correct |
9 ms |
16724 KB |
Output is correct |
16 |
Correct |
9 ms |
16724 KB |
Output is correct |
17 |
Correct |
9 ms |
16672 KB |
Output is correct |
18 |
Correct |
77 ms |
57416 KB |
Output is correct |
19 |
Correct |
76 ms |
57408 KB |
Output is correct |
20 |
Correct |
77 ms |
57392 KB |
Output is correct |
21 |
Correct |
80 ms |
57400 KB |
Output is correct |
22 |
Correct |
270 ms |
107172 KB |
Output is correct |
23 |
Correct |
379 ms |
121864 KB |
Output is correct |
24 |
Correct |
348 ms |
124728 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
222 ms |
77192 KB |
Output is correct |
2 |
Correct |
287 ms |
86304 KB |
Output is correct |
3 |
Correct |
85 ms |
57384 KB |
Output is correct |
4 |
Correct |
81 ms |
57376 KB |
Output is correct |
5 |
Execution timed out |
1100 ms |
182520 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |