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답안 #1105494

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1105494 2024-10-26T14:25:10 Z VinhLuu 메기 농장 (IOI22_fish) C++17
100 / 100
 382 ms 136712 KB 
#include <bits/stdc++.h>
#define ll long long
#include "fish.h"
//#define all(lpv) lpv.begin(), lpv.end()
using namespace std;

const int N = 3e5 + 5;
const ll oo = -1e16;

int n, m;

void vin(ll &x,ll y){
  x = max(x, y);
}

vector<ll> a[N], b[N], f[3][N], g[3][N];

long long max_weights(int _N, int M, std::vector<int> X, std::vector<int> Y, std::vector<int> W) {
  n = _N;

  m = M;
  for(int i = 0; i <= n + 1; i ++){
    b[i].push_back(0);
    b[i].push_back(n + 1);
  }
  for(int i = 1; i <= m; i ++){
    int x = X[i - 1] + 1, y = Y[i - 1] + 1, c = W[i - 1];
    b[x].push_back(y);
    b[x - 1].push_back(y);
    b[x + 1].push_back(y);
  }
  for(int i = 0; i <= n + 1; i ++){
    sort(b[i].begin(), b[i].end());
    b[i].resize(unique(b[i].begin(), b[i].end()) - b[i].begin());
    int cnt = (int)(b[i].size());
    a[i].resize(cnt + 1);
    for(int k = 0; k <= 1; k ++){
      f[k][i].resize(cnt + 1);
      g[k][i].resize(cnt + 1);
    }
    for(int k = 0; k <= 1; k ++) for(int j = 0; j < a[i].size(); j ++){
      a[i][j] = 0;
      f[k][i][j] = oo;
      g[k][i][j] = oo;
    }
  }
  for(int i = 1; i <= m; i ++){
    int x = X[i - 1] + 1, y = Y[i - 1] + 1, c = W[i - 1];
    int u = lower_bound(b[x].begin(), b[x].end(), y) - b[x].begin();
    a[x][u] += c;
  }

  for(int i = 0; i <= n; i ++){
    for(int j = 1; j < b[i].size(); j ++) a[i][j] += a[i][j - 1];
  }

  f[0][0][0] = f[1][0][0] = 0;
  for(int i = 0; i < b[0].size(); i ++) g[1][0][i] = 0;

  ll ans = 0;

  for(int i = 1; i <= n; i ++){
    ll ret = oo;
    for(int j = 0; j < b[i - 1].size(); j ++) ret = max({ret, f[0][i - 1][j], f[1][i - 1][j]});
    f[0][i][0] = f[1][i][0] = ret;
    for(int j = 0; j < b[i].size(); j ++){
      int val = b[i][j];
      vin(f[1][i][j], 0);
      vin(f[0][i][j], 0);
      int pos = upper_bound(b[i - 1].begin(), b[i - 1].end(), val) - b[i - 1].begin() - 1;
      int tmp = lower_bound(b[i - 1].begin(), b[i - 1].end(), val) - b[i - 1].begin() - 1;
      if(tmp >= 0 && pos >= 0 && j > 0) vin(f[1][i][j], a[i - 1][pos] + g[1][i - 1][tmp]);
      tmp = upper_bound(b[i - 1].begin(), b[i - 1].end(), val) - b[i - 1].begin();
      vin(f[0][i][j], g[0][i - 1][tmp] - a[i][j]);
      vin(ans, max(f[1][i][j], f[0][i][j]));
    }

    for(int j = 0; j < b[i].size(); j ++){
      g[1][i][j] = f[1][i][j] - a[i][j];
      if(j > 0) vin(g[1][i][j], g[1][i][j - 1]);
    }
    for(int j = b[i].size() - 1; j >= 0; j --){
      int pos = upper_bound(b[i + 1].begin(), b[i + 1].end(), b[i][j]) - b[i + 1].begin() - 1;
      g[0][i][j] = max(f[0][i][j], f[1][i][j]) + a[i + 1][pos];
      if(j < b[i].size() - 1) vin(g[0][i][j], g[0][i][j + 1]);
    }
  }

  return ans;
}

//#define LOCAL

#ifdef LOCAL

int main() {

  ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  #define task "v"
  if(fopen(task ".inp","r")){
    freopen(task ".inp","r",stdin);
    freopen(task ".out","w",stdout);
  }
  int _N, M;
  assert(2 == scanf("%d %d", &_N, &M));

  std::vector<int> X(M), Y(M), W(M);
  for (int i = 0; i < M; ++i) {
    assert(3 == scanf("%d %d %d", &X[i], &Y[i], &W[i]));
  }

  long long result = max_weights(_N, M, X, Y, W);
  printf("%lld\n", result);
  return 0;
}

/*
5 4
0 2 5
1 1 2
4 4 1
3 3 3
*/

#endif // LOCAL

Compilation message

fish.cpp: In function 'long long int max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:27:45: warning: unused variable 'c' [-Wunused-variable]
   27 |     int x = X[i - 1] + 1, y = Y[i - 1] + 1, c = W[i - 1];
      |                                             ^
fish.cpp:41:51: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   41 |     for(int k = 0; k <= 1; k ++) for(int j = 0; j < a[i].size(); j ++){
      |                                                 ~~^~~~~~~~~~~~~
fish.cpp:54:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   54 |     for(int j = 1; j < b[i].size(); j ++) a[i][j] += a[i][j - 1];
      |                    ~~^~~~~~~~~~~~~
fish.cpp:58:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   58 |   for(int i = 0; i < b[0].size(); i ++) g[1][0][i] = 0;
      |                  ~~^~~~~~~~~~~~~
fish.cpp:64:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   64 |     for(int j = 0; j < b[i - 1].size(); j ++) ret = max({ret, f[0][i - 1][j], f[1][i - 1][j]});
      |                    ~~^~~~~~~~~~~~~~~~~
fish.cpp:66:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   66 |     for(int j = 0; j < b[i].size(); j ++){
      |                    ~~^~~~~~~~~~~~~
fish.cpp:78:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   78 |     for(int j = 0; j < b[i].size(); j ++){
      |                    ~~^~~~~~~~~~~~~
fish.cpp:85:12: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   85 |       if(j < b[i].size() - 1) vin(g[0][i][j], g[0][i][j + 1]);
      |          ~~^~~~~~~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 117 ms 86824 KB Output is correct
2 Correct 145 ms 93680 KB Output is correct
3 Correct 49 ms 75412 KB Output is correct
4 Correct 50 ms 75336 KB Output is correct
5 Correct 382 ms 131344 KB Output is correct
6 Correct 342 ms 136712 KB Output is correct

Subtask #2
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 56656 KB Output is correct
2 Correct 191 ms 98860 KB Output is correct
3 Correct 223 ms 104860 KB Output is correct
4 Correct 127 ms 88360 KB Output is correct
5 Correct 166 ms 93764 KB Output is correct
6 Correct 10 ms 56656 KB Output is correct
7 Correct 11 ms 56656 KB Output is correct
8 Correct 11 ms 56656 KB Output is correct
9 Correct 11 ms 56808 KB Output is correct
10 Correct 49 ms 75336 KB Output is correct
11 Correct 49 ms 75612 KB Output is correct
12 Correct 124 ms 88360 KB Output is correct
13 Correct 155 ms 93736 KB Output is correct
14 Correct 131 ms 88344 KB Output is correct
15 Correct 131 ms 88696 KB Output is correct
16 Correct 124 ms 88528 KB Output is correct
17 Correct 157 ms 91868 KB Output is correct

Subtask #3
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 49 ms 75344 KB Output is correct
2 Correct 49 ms 75480 KB Output is correct
3 Correct 84 ms 83016 KB Output is correct
4 Correct 82 ms 82272 KB Output is correct
5 Correct 139 ms 92488 KB Output is correct
6 Correct 137 ms 91732 KB Output is correct
7 Correct 125 ms 92488 KB Output is correct
8 Correct 116 ms 92744 KB Output is correct

Subtask #4
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 56656 KB Output is correct
2 Correct 12 ms 56656 KB Output is correct
3 Correct 10 ms 56656 KB Output is correct
4 Correct 10 ms 56656 KB Output is correct
5 Correct 12 ms 56656 KB Output is correct
6 Correct 10 ms 56656 KB Output is correct
7 Correct 10 ms 56804 KB Output is correct
8 Correct 10 ms 56824 KB Output is correct
9 Correct 10 ms 56656 KB Output is correct
10 Correct 11 ms 56912 KB Output is correct
11 Correct 11 ms 56912 KB Output is correct
12 Correct 11 ms 56928 KB Output is correct
13 Correct 10 ms 56656 KB Output is correct
14 Correct 11 ms 56912 KB Output is correct

Subtask #5
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 56656 KB Output is correct
2 Correct 12 ms 56656 KB Output is correct
3 Correct 10 ms 56656 KB Output is correct
4 Correct 10 ms 56656 KB Output is correct
5 Correct 12 ms 56656 KB Output is correct
6 Correct 10 ms 56656 KB Output is correct
7 Correct 10 ms 56804 KB Output is correct
8 Correct 10 ms 56824 KB Output is correct
9 Correct 10 ms 56656 KB Output is correct
10 Correct 11 ms 56912 KB Output is correct
11 Correct 11 ms 56912 KB Output is correct
12 Correct 11 ms 56928 KB Output is correct
13 Correct 10 ms 56656 KB Output is correct
14 Correct 11 ms 56912 KB Output is correct
15 Correct 11 ms 56912 KB Output is correct
16 Correct 13 ms 56912 KB Output is correct
17 Correct 32 ms 62544 KB Output is correct
18 Correct 31 ms 62196 KB Output is correct
19 Correct 31 ms 62032 KB Output is correct
20 Correct 30 ms 61520 KB Output is correct
21 Correct 30 ms 61512 KB Output is correct
22 Correct 50 ms 66528 KB Output is correct
23 Correct 15 ms 58448 KB Output is correct
24 Correct 30 ms 61772 KB Output is correct
25 Correct 11 ms 56912 KB Output is correct
26 Correct 15 ms 58192 KB Output is correct

Subtask #6
17.0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 56656 KB Output is correct
2 Correct 12 ms 56656 KB Output is correct
3 Correct 10 ms 56656 KB Output is correct
4 Correct 10 ms 56656 KB Output is correct
5 Correct 12 ms 56656 KB Output is correct
6 Correct 10 ms 56656 KB Output is correct
7 Correct 10 ms 56804 KB Output is correct
8 Correct 10 ms 56824 KB Output is correct
9 Correct 10 ms 56656 KB Output is correct
10 Correct 11 ms 56912 KB Output is correct
11 Correct 11 ms 56912 KB Output is correct
12 Correct 11 ms 56928 KB Output is correct
13 Correct 10 ms 56656 KB Output is correct
14 Correct 11 ms 56912 KB Output is correct
15 Correct 11 ms 56912 KB Output is correct
16 Correct 13 ms 56912 KB Output is correct
17 Correct 32 ms 62544 KB Output is correct
18 Correct 31 ms 62196 KB Output is correct
19 Correct 31 ms 62032 KB Output is correct
20 Correct 30 ms 61520 KB Output is correct
21 Correct 30 ms 61512 KB Output is correct
22 Correct 50 ms 66528 KB Output is correct
23 Correct 15 ms 58448 KB Output is correct
24 Correct 30 ms 61772 KB Output is correct
25 Correct 11 ms 56912 KB Output is correct
26 Correct 15 ms 58192 KB Output is correct
27 Correct 13 ms 57936 KB Output is correct
28 Correct 133 ms 82480 KB Output is correct
29 Correct 245 ms 97608 KB Output is correct
30 Correct 238 ms 115528 KB Output is correct
31 Correct 225 ms 115016 KB Output is correct
32 Correct 166 ms 89992 KB Output is correct
33 Correct 256 ms 116360 KB Output is correct
34 Correct 248 ms 116296 KB Output is correct
35 Correct 85 ms 75936 KB Output is correct
36 Correct 283 ms 108184 KB Output is correct

Subtask #7
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 49 ms 75344 KB Output is correct
2 Correct 49 ms 75480 KB Output is correct
3 Correct 84 ms 83016 KB Output is correct
4 Correct 82 ms 82272 KB Output is correct
5 Correct 139 ms 92488 KB Output is correct
6 Correct 137 ms 91732 KB Output is correct
7 Correct 125 ms 92488 KB Output is correct
8 Correct 116 ms 92744 KB Output is correct
9 Correct 144 ms 100320 KB Output is correct
10 Correct 79 ms 76768 KB Output is correct
11 Correct 161 ms 96584 KB Output is correct
12 Correct 11 ms 56824 KB Output is correct
13 Correct 11 ms 56656 KB Output is correct
14 Correct 11 ms 56656 KB Output is correct
15 Correct 11 ms 56656 KB Output is correct
16 Correct 11 ms 56656 KB Output is correct
17 Correct 14 ms 56804 KB Output is correct
18 Correct 51 ms 75600 KB Output is correct
19 Correct 50 ms 75564 KB Output is correct
20 Correct 49 ms 75560 KB Output is correct
21 Correct 51 ms 75336 KB Output is correct
22 Correct 161 ms 97096 KB Output is correct
23 Correct 190 ms 105808 KB Output is correct
24 Correct 180 ms 107264 KB Output is correct

Subtask #8
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 117 ms 86824 KB Output is correct
2 Correct 145 ms 93680 KB Output is correct
3 Correct 49 ms 75412 KB Output is correct
4 Correct 50 ms 75336 KB Output is correct
5 Correct 382 ms 131344 KB Output is correct
6 Correct 342 ms 136712 KB Output is correct
7 Correct 11 ms 56656 KB Output is correct
8 Correct 191 ms 98860 KB Output is correct
9 Correct 223 ms 104860 KB Output is correct
10 Correct 127 ms 88360 KB Output is correct
11 Correct 166 ms 93764 KB Output is correct
12 Correct 10 ms 56656 KB Output is correct
13 Correct 11 ms 56656 KB Output is correct
14 Correct 11 ms 56656 KB Output is correct
15 Correct 11 ms 56808 KB Output is correct
16 Correct 49 ms 75336 KB Output is correct
17 Correct 49 ms 75612 KB Output is correct
18 Correct 124 ms 88360 KB Output is correct
19 Correct 155 ms 93736 KB Output is correct
20 Correct 131 ms 88344 KB Output is correct
21 Correct 131 ms 88696 KB Output is correct
22 Correct 124 ms 88528 KB Output is correct
23 Correct 157 ms 91868 KB Output is correct
24 Correct 49 ms 75344 KB Output is correct
25 Correct 49 ms 75480 KB Output is correct
26 Correct 84 ms 83016 KB Output is correct
27 Correct 82 ms 82272 KB Output is correct
28 Correct 139 ms 92488 KB Output is correct
29 Correct 137 ms 91732 KB Output is correct
30 Correct 125 ms 92488 KB Output is correct
31 Correct 116 ms 92744 KB Output is correct
32 Correct 10 ms 56656 KB Output is correct
33 Correct 12 ms 56656 KB Output is correct
34 Correct 10 ms 56656 KB Output is correct
35 Correct 10 ms 56656 KB Output is correct
36 Correct 12 ms 56656 KB Output is correct
37 Correct 10 ms 56656 KB Output is correct
38 Correct 10 ms 56804 KB Output is correct
39 Correct 10 ms 56824 KB Output is correct
40 Correct 10 ms 56656 KB Output is correct
41 Correct 11 ms 56912 KB Output is correct
42 Correct 11 ms 56912 KB Output is correct
43 Correct 11 ms 56928 KB Output is correct
44 Correct 10 ms 56656 KB Output is correct
45 Correct 11 ms 56912 KB Output is correct
46 Correct 11 ms 56912 KB Output is correct
47 Correct 13 ms 56912 KB Output is correct
48 Correct 32 ms 62544 KB Output is correct
49 Correct 31 ms 62196 KB Output is correct
50 Correct 31 ms 62032 KB Output is correct
51 Correct 30 ms 61520 KB Output is correct
52 Correct 30 ms 61512 KB Output is correct
53 Correct 50 ms 66528 KB Output is correct
54 Correct 15 ms 58448 KB Output is correct
55 Correct 30 ms 61772 KB Output is correct
56 Correct 11 ms 56912 KB Output is correct
57 Correct 15 ms 58192 KB Output is correct
58 Correct 13 ms 57936 KB Output is correct
59 Correct 133 ms 82480 KB Output is correct
60 Correct 245 ms 97608 KB Output is correct
61 Correct 238 ms 115528 KB Output is correct
62 Correct 225 ms 115016 KB Output is correct
63 Correct 166 ms 89992 KB Output is correct
64 Correct 256 ms 116360 KB Output is correct
65 Correct 248 ms 116296 KB Output is correct
66 Correct 85 ms 75936 KB Output is correct
67 Correct 283 ms 108184 KB Output is correct
68 Correct 144 ms 100320 KB Output is correct
69 Correct 79 ms 76768 KB Output is correct
70 Correct 161 ms 96584 KB Output is correct
71 Correct 11 ms 56824 KB Output is correct
72 Correct 11 ms 56656 KB Output is correct
73 Correct 11 ms 56656 KB Output is correct
74 Correct 11 ms 56656 KB Output is correct
75 Correct 11 ms 56656 KB Output is correct
76 Correct 14 ms 56804 KB Output is correct
77 Correct 51 ms 75600 KB Output is correct
78 Correct 50 ms 75564 KB Output is correct
79 Correct 49 ms 75560 KB Output is correct
80 Correct 51 ms 75336 KB Output is correct
81 Correct 161 ms 97096 KB Output is correct
82 Correct 190 ms 105808 KB Output is correct
83 Correct 180 ms 107264 KB Output is correct
84 Correct 371 ms 124900 KB Output is correct
85 Correct 360 ms 125940 KB Output is correct
86 Correct 291 ms 133748 KB Output is correct
87 Correct 305 ms 136520 KB Output is correct
88 Correct 11 ms 56656 KB Output is correct
89 Correct 297 ms 136528 KB Output is correct
90 Correct 229 ms 125196 KB Output is correct
91 Correct 193 ms 113548 KB Output is correct