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답안 #733154

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
733154 2023-04-30T07:28:39 Z puppy 메기 농장 (IOI22_fish) C++17
100 / 100
 453 ms 95028 KB 
#include "fish.h"

#include <vector>
#include <algorithm>
#include <iostream>
#define int long long
using namespace std;

vector<pair<int, int>> adj[100005];
vector<pair<int, int>> prf[100005];
const long long inf = 1e18;
int _N;
int get_prfsum(int X, int to)
{
    if (X <= 0 || _N+1 <= X) return 0;
    return (*--lower_bound(prf[X].begin(), prf[X].end(), make_pair(to, inf))).second;
}
vector<int> dp[100005][3];
vector<int> suf[100005];
vector<int> prf0[100005], prf1[100005], suf0[100005];
vector<int> cpx[100005];
long long max_weights(signed N, signed M, std::vector<signed> X, std::vector<signed> Y,
                      std::vector<signed> W) {
  _N= N;
  for (int i = 0; i < M; i++) {
    adj[X[i]+1].push_back(make_pair(Y[i] + 2, W[i]));
  }
  for (int i = 1; i <= N; i++) sort(adj[i].begin(), adj[i].end());
  for (int i = 1; i <= N; i++) {
    prf[i].resize(adj[i].size() + 1);
    prf[i][0] = make_pair(0, 0);
    for (int k = 1; k <= adj[i].size(); k++) {
        prf[i][k] = make_pair(adj[i][k-1].first, adj[i][k-1].second + prf[i][k-1].second);
    }
  }
  cpx[0].push_back(0);
  for (int i = 1; i <= N; i++) {
    cpx[i].push_back(0);
    for (pair<int, int> p:adj[i]) cpx[i].push_back(p.first - 1);
    cpx[i].push_back(N+1);
  }
  for (int i = 1; i <= N; i++) {
    dp[i][0].resize(cpx[i].size());
    dp[i][1].resize(cpx[i].size());
    dp[i][2].resize(cpx[i-1].size());
    suf[i].resize(dp[i][0].size());
    prf0[i].resize(dp[i][0].size());
    prf1[i].resize(dp[i][2].size());
    suf0[i].resize(dp[i][2].size());
  }
  for (int i = 1; i <= N; i++) {
    if (i >= 2) {
        for (int j = 0; j < (int)dp[i-1][2].size(); j++) dp[i][2][0] = max(dp[i][2][0], dp[i-1][2][j]);
        for (int j = 1; j < (int)dp[i][2].size(); j++) {
            dp[i][2][j] = max(dp[i-1][0][j], dp[i-1][1][j]) + get_prfsum(i, cpx[i-1][j]);
        }
        for (int j = 1; j < (int)dp[i][1].size(); j++) {
            int height = cpx[i][j]; //height까지 끌어올리기
            //height보다 더 '큰' 최초의 인덱스 k를 찾자
            int low = upper_bound(cpx[i-1].begin(), cpx[i-1].end(), height) - cpx[i-1].begin();
            if (low == cpx[i-1].size()) {
                dp[i][1][j] = -inf;
                continue;
            }
            dp[i][1][j] = suf[i-1][low] - get_prfsum(i, cpx[i][j]);
        }
        for (int j = 1; j < (int)dp[i][0].size(); j++) {
            int ord = upper_bound(cpx[i-1].begin(), cpx[i-1].end(), cpx[i][j]) - cpx[i-1].begin();
            int M1 = ord == 1 ? -inf : (prf0[i-1][ord-1] + get_prfsum(i-1, cpx[i][j]));
            int ord2 = upper_bound(cpx[i-2].begin(), cpx[i-2].end(), cpx[i][j]) - cpx[i-2].begin();
            int M2 = prf1[i-1][ord2-1] + get_prfsum(i-1, cpx[i][j]);
            int M3 = (i == 2 || ord2 >= cpx[i-2].size()) ? -inf : suf0[i-1][ord2];
            dp[i][0][j] = max({M1, M2, M3});
        }
    }

    for (int j = 1; j < (int)dp[i][1].size(); j++) {
        prf0[i][j] = dp[i][0][j] - get_prfsum(i, cpx[i][j]);
        suf[i][j] = max(dp[i][0][j], dp[i][1][j]) + get_prfsum(i+1, cpx[i][j]);
    }
    for (int j = 0; j < (int)dp[i][2].size(); j++) {
        prf1[i][j] = dp[i][2][j] - get_prfsum(i, cpx[i-1][j]);
        suf0[i][j] = dp[i][2][j];
    }
    for (int j = 2; j < (int)dp[i][1].size(); j++) prf0[i][j] = max(prf0[i][j], prf0[i][j-1]);
    for (int j = 1; j < (int)dp[i][2].size(); j++) prf1[i][j] = max(prf1[i][j], prf1[i][j-1]);
    for (int j = (int)dp[i][2].size() - 2; j >= 0; j--) suf0[i][j] = max(suf0[i][j], suf0[i][j+1]);
    for (int j = (int)dp[i][1].size() - 2; j >= 1; j--) suf[i][j] = max(suf[i][j], suf[i][j+1]);
  }
  int ans = 0;
  for (int i = 1; i < (int)dp[N][0].size(); i++) {
    ans = max(ans, dp[N][0][i]);
  }
  for (int i = 1; i < (int)dp[N][1].size(); i++) ans = max(ans, dp[N][1][i]);
  for (int i = 0; i < (int)dp[N][2].size(); i++) ans = max(ans, dp[N][2][i]);
  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:32:23: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   32 |     for (int k = 1; k <= adj[i].size(); k++) {
      |                     ~~^~~~~~~~~~~~~~~~
fish.cpp:61:21: 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]
   61 |             if (low == cpx[i-1].size()) {
      |                 ~~~~^~~~~~~~~~~~~~~~~~
fish.cpp:72:38: 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]
   72 |             int M3 = (i == 2 || ord2 >= cpx[i-2].size()) ? -inf : suf0[i-1][ord2];
      |                                 ~~~~~^~~~~~~~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 114 ms 60032 KB Output is correct
2 Correct 148 ms 65464 KB Output is correct
3 Correct 73 ms 51936 KB Output is correct
4 Correct 89 ms 51916 KB Output is correct
5 Correct 262 ms 90752 KB Output is correct
6 Correct 337 ms 92928 KB Output is correct

Subtask #2
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 13 ms 23764 KB Output is correct
2 Correct 208 ms 71000 KB Output is correct
3 Correct 212 ms 78952 KB Output is correct
4 Correct 110 ms 59964 KB Output is correct
5 Correct 183 ms 65384 KB Output is correct
6 Correct 15 ms 23672 KB Output is correct
7 Correct 14 ms 23764 KB Output is correct
8 Correct 14 ms 23712 KB Output is correct
9 Correct 13 ms 23788 KB Output is correct
10 Correct 71 ms 51900 KB Output is correct
11 Correct 90 ms 51892 KB Output is correct
12 Correct 125 ms 60044 KB Output is correct
13 Correct 135 ms 65424 KB Output is correct
14 Correct 120 ms 60160 KB Output is correct
15 Correct 142 ms 64052 KB Output is correct
16 Correct 129 ms 60032 KB Output is correct
17 Correct 153 ms 64060 KB Output is correct

Subtask #3
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 70 ms 52044 KB Output is correct
2 Correct 73 ms 51888 KB Output is correct
3 Correct 103 ms 54628 KB Output is correct
4 Correct 96 ms 55648 KB Output is correct
5 Correct 119 ms 62188 KB Output is correct
6 Correct 124 ms 61632 KB Output is correct
7 Correct 136 ms 62028 KB Output is correct
8 Correct 121 ms 62104 KB Output is correct

Subtask #4
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 13 ms 23696 KB Output is correct
2 Correct 13 ms 23756 KB Output is correct
3 Correct 14 ms 23792 KB Output is correct
4 Correct 14 ms 23764 KB Output is correct
5 Correct 13 ms 23768 KB Output is correct
6 Correct 13 ms 23764 KB Output is correct
7 Correct 13 ms 23764 KB Output is correct
8 Correct 15 ms 23700 KB Output is correct
9 Correct 14 ms 23884 KB Output is correct
10 Correct 15 ms 24148 KB Output is correct
11 Correct 13 ms 23892 KB Output is correct
12 Correct 13 ms 23924 KB Output is correct
13 Correct 14 ms 23788 KB Output is correct
14 Correct 13 ms 23928 KB Output is correct

Subtask #5
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 13 ms 23696 KB Output is correct
2 Correct 13 ms 23756 KB Output is correct
3 Correct 14 ms 23792 KB Output is correct
4 Correct 14 ms 23764 KB Output is correct
5 Correct 13 ms 23768 KB Output is correct
6 Correct 13 ms 23764 KB Output is correct
7 Correct 13 ms 23764 KB Output is correct
8 Correct 15 ms 23700 KB Output is correct
9 Correct 14 ms 23884 KB Output is correct
10 Correct 15 ms 24148 KB Output is correct
11 Correct 13 ms 23892 KB Output is correct
12 Correct 13 ms 23924 KB Output is correct
13 Correct 14 ms 23788 KB Output is correct
14 Correct 13 ms 23928 KB Output is correct
15 Correct 16 ms 23784 KB Output is correct
16 Correct 15 ms 24056 KB Output is correct
17 Correct 53 ms 30096 KB Output is correct
18 Correct 47 ms 30960 KB Output is correct
19 Correct 41 ms 30688 KB Output is correct
20 Correct 40 ms 30668 KB Output is correct
21 Correct 51 ms 30572 KB Output is correct
22 Correct 80 ms 37500 KB Output is correct
23 Correct 19 ms 25156 KB Output is correct
24 Correct 38 ms 27988 KB Output is correct
25 Correct 15 ms 24064 KB Output is correct
26 Correct 20 ms 25028 KB Output is correct

Subtask #6
17.0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 13 ms 23696 KB Output is correct
2 Correct 13 ms 23756 KB Output is correct
3 Correct 14 ms 23792 KB Output is correct
4 Correct 14 ms 23764 KB Output is correct
5 Correct 13 ms 23768 KB Output is correct
6 Correct 13 ms 23764 KB Output is correct
7 Correct 13 ms 23764 KB Output is correct
8 Correct 15 ms 23700 KB Output is correct
9 Correct 14 ms 23884 KB Output is correct
10 Correct 15 ms 24148 KB Output is correct
11 Correct 13 ms 23892 KB Output is correct
12 Correct 13 ms 23924 KB Output is correct
13 Correct 14 ms 23788 KB Output is correct
14 Correct 13 ms 23928 KB Output is correct
15 Correct 16 ms 23784 KB Output is correct
16 Correct 15 ms 24056 KB Output is correct
17 Correct 53 ms 30096 KB Output is correct
18 Correct 47 ms 30960 KB Output is correct
19 Correct 41 ms 30688 KB Output is correct
20 Correct 40 ms 30668 KB Output is correct
21 Correct 51 ms 30572 KB Output is correct
22 Correct 80 ms 37500 KB Output is correct
23 Correct 19 ms 25156 KB Output is correct
24 Correct 38 ms 27988 KB Output is correct
25 Correct 15 ms 24064 KB Output is correct
26 Correct 20 ms 25028 KB Output is correct
27 Correct 18 ms 24812 KB Output is correct
28 Correct 188 ms 56092 KB Output is correct
29 Correct 248 ms 67740 KB Output is correct
30 Correct 282 ms 67444 KB Output is correct
31 Correct 241 ms 67428 KB Output is correct
32 Correct 253 ms 69408 KB Output is correct
33 Correct 281 ms 67452 KB Output is correct
34 Correct 239 ms 67344 KB Output is correct
35 Correct 96 ms 41548 KB Output is correct
36 Correct 275 ms 69520 KB Output is correct

Subtask #7
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 70 ms 52044 KB Output is correct
2 Correct 73 ms 51888 KB Output is correct
3 Correct 103 ms 54628 KB Output is correct
4 Correct 96 ms 55648 KB Output is correct
5 Correct 119 ms 62188 KB Output is correct
6 Correct 124 ms 61632 KB Output is correct
7 Correct 136 ms 62028 KB Output is correct
8 Correct 121 ms 62104 KB Output is correct
9 Correct 127 ms 61860 KB Output is correct
10 Correct 103 ms 52300 KB Output is correct
11 Correct 209 ms 80996 KB Output is correct
12 Correct 11 ms 23764 KB Output is correct
13 Correct 11 ms 23764 KB Output is correct
14 Correct 11 ms 23700 KB Output is correct
15 Correct 11 ms 23784 KB Output is correct
16 Correct 16 ms 23764 KB Output is correct
17 Correct 17 ms 23764 KB Output is correct
18 Correct 75 ms 51840 KB Output is correct
19 Correct 79 ms 51944 KB Output is correct
20 Correct 83 ms 51940 KB Output is correct
21 Correct 89 ms 51920 KB Output is correct
22 Correct 183 ms 65312 KB Output is correct
23 Correct 218 ms 81000 KB Output is correct
24 Correct 245 ms 81412 KB Output is correct

Subtask #8
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 114 ms 60032 KB Output is correct
2 Correct 148 ms 65464 KB Output is correct
3 Correct 73 ms 51936 KB Output is correct
4 Correct 89 ms 51916 KB Output is correct
5 Correct 262 ms 90752 KB Output is correct
6 Correct 337 ms 92928 KB Output is correct
7 Correct 13 ms 23764 KB Output is correct
8 Correct 208 ms 71000 KB Output is correct
9 Correct 212 ms 78952 KB Output is correct
10 Correct 110 ms 59964 KB Output is correct
11 Correct 183 ms 65384 KB Output is correct
12 Correct 15 ms 23672 KB Output is correct
13 Correct 14 ms 23764 KB Output is correct
14 Correct 14 ms 23712 KB Output is correct
15 Correct 13 ms 23788 KB Output is correct
16 Correct 71 ms 51900 KB Output is correct
17 Correct 90 ms 51892 KB Output is correct
18 Correct 125 ms 60044 KB Output is correct
19 Correct 135 ms 65424 KB Output is correct
20 Correct 120 ms 60160 KB Output is correct
21 Correct 142 ms 64052 KB Output is correct
22 Correct 129 ms 60032 KB Output is correct
23 Correct 153 ms 64060 KB Output is correct
24 Correct 70 ms 52044 KB Output is correct
25 Correct 73 ms 51888 KB Output is correct
26 Correct 103 ms 54628 KB Output is correct
27 Correct 96 ms 55648 KB Output is correct
28 Correct 119 ms 62188 KB Output is correct
29 Correct 124 ms 61632 KB Output is correct
30 Correct 136 ms 62028 KB Output is correct
31 Correct 121 ms 62104 KB Output is correct
32 Correct 13 ms 23696 KB Output is correct
33 Correct 13 ms 23756 KB Output is correct
34 Correct 14 ms 23792 KB Output is correct
35 Correct 14 ms 23764 KB Output is correct
36 Correct 13 ms 23768 KB Output is correct
37 Correct 13 ms 23764 KB Output is correct
38 Correct 13 ms 23764 KB Output is correct
39 Correct 15 ms 23700 KB Output is correct
40 Correct 14 ms 23884 KB Output is correct
41 Correct 15 ms 24148 KB Output is correct
42 Correct 13 ms 23892 KB Output is correct
43 Correct 13 ms 23924 KB Output is correct
44 Correct 14 ms 23788 KB Output is correct
45 Correct 13 ms 23928 KB Output is correct
46 Correct 16 ms 23784 KB Output is correct
47 Correct 15 ms 24056 KB Output is correct
48 Correct 53 ms 30096 KB Output is correct
49 Correct 47 ms 30960 KB Output is correct
50 Correct 41 ms 30688 KB Output is correct
51 Correct 40 ms 30668 KB Output is correct
52 Correct 51 ms 30572 KB Output is correct
53 Correct 80 ms 37500 KB Output is correct
54 Correct 19 ms 25156 KB Output is correct
55 Correct 38 ms 27988 KB Output is correct
56 Correct 15 ms 24064 KB Output is correct
57 Correct 20 ms 25028 KB Output is correct
58 Correct 18 ms 24812 KB Output is correct
59 Correct 188 ms 56092 KB Output is correct
60 Correct 248 ms 67740 KB Output is correct
61 Correct 282 ms 67444 KB Output is correct
62 Correct 241 ms 67428 KB Output is correct
63 Correct 253 ms 69408 KB Output is correct
64 Correct 281 ms 67452 KB Output is correct
65 Correct 239 ms 67344 KB Output is correct
66 Correct 96 ms 41548 KB Output is correct
67 Correct 275 ms 69520 KB Output is correct
68 Correct 127 ms 61860 KB Output is correct
69 Correct 103 ms 52300 KB Output is correct
70 Correct 209 ms 80996 KB Output is correct
71 Correct 11 ms 23764 KB Output is correct
72 Correct 11 ms 23764 KB Output is correct
73 Correct 11 ms 23700 KB Output is correct
74 Correct 11 ms 23784 KB Output is correct
75 Correct 16 ms 23764 KB Output is correct
76 Correct 17 ms 23764 KB Output is correct
77 Correct 75 ms 51840 KB Output is correct
78 Correct 79 ms 51944 KB Output is correct
79 Correct 83 ms 51940 KB Output is correct
80 Correct 89 ms 51920 KB Output is correct
81 Correct 183 ms 65312 KB Output is correct
82 Correct 218 ms 81000 KB Output is correct
83 Correct 245 ms 81412 KB Output is correct
84 Correct 382 ms 90708 KB Output is correct
85 Correct 365 ms 92932 KB Output is correct
86 Correct 429 ms 91444 KB Output is correct
87 Correct 409 ms 94540 KB Output is correct
88 Correct 15 ms 23768 KB Output is correct
89 Correct 453 ms 94656 KB Output is correct
90 Correct 372 ms 94480 KB Output is correct
91 Correct 311 ms 95028 KB Output is correct