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Submission #231770

# Submission time Handle Problem Language Result Execution time Memory
231770 2020-05-14T16:53:48 Z Haunted_Cpp Collecting Stamps 3 (JOI20_ho_t3) C++17
100 / 100
 231 ms 135416 KB 
#include <bits/stdc++.h>
 
using namespace std;

#pragma GCC optimize ("Ofast")
#pragma GCC target("fma,sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
#pragma GCC optimize("unroll-loops")

const int N = 2e2 + 5;

long long dp [N][N][N][2];

int pos [N];
int lim [N];
 
/*
 * DP[N][N][N][2]
 * Minimum time possible for being at pos [i, j] - 0 / 1, with x elements so far
 */ 

int main () {
  ios::sync_with_stdio(0);
  cin.tie(0);
  int n, tamanho;
  cin >> n >> tamanho;
  n += 2;
  pos[0] = 0;
  lim[0] = 1e9;
  pos[n - 1] = 0;
  lim[n - 1] = 1e9;
  for (int i = 1; i < n - 1; i++) cin >> pos[i];
  for (int i = 1; i < n - 1; i++) cin >> lim[i];
  for (int i = 0; i < N; i++) {
    for (int j = 0; j < N; j++) {
      for (int x = 0; x < N; x++) {
        dp[i][j][x][0] = dp[i][j][x][1] = 1e16;
      }
    }
  }
  dp[0][n - 1][0][0] = dp[0][n - 1][0][1] = 0;
  

  for (int L = 0; L < n; L++) {
    for (int R = n - 1; R >= 0; R--) {
      for (int Q = 0; Q <= n; Q++) {
        
        if (L + 1 < n && L + 1 < R) {
          
          // ESQ -> ESQ
          long long tempo = dp[L][R][Q][0] + pos[L + 1] - pos[L];
          assert(tempo >= 0);
          int QTS = Q + (tempo <= lim[L + 1]);
      
          dp[L + 1][R][QTS][0] = min (dp[L + 1][R][QTS][0], tempo);
          
          
          // DIR -> ESQ
          tempo = dp[L][R][Q][1] + tamanho - pos[R] + pos[L + 1];
          assert(tempo >= 0);
          QTS = Q + (tempo <= lim[L + 1]);
          dp[L + 1][R][QTS][0] = min (dp[L + 1][R][QTS][0], tempo);
          
        }
        
        if (R - 1 >= 0 && R - 1 > L) {
          
          // DIR -> DIR
          long long tempo = dp[L][R][Q][1] + abs (pos[R] - pos[R - 1]);
          assert(tempo >= 0);
          int QTS = Q + (tempo <= lim[R - 1]);
          dp[L][R - 1][QTS][1] = min (dp[L][R - 1][QTS][1], tempo);
          
          
          // ESQ -> DIR
          
          tempo = dp[L][R][Q][0] + pos[L] + tamanho - pos[R - 1];
          assert(tempo >= 0);
          QTS = Q + (tempo <= lim[R - 1]);
          dp[L][R - 1][QTS][1] = min (dp[L][R - 1][QTS][1], tempo);
          
        }
        
      }
    }
  } 
  
  int mx = 0;
  for (int i = 0; i < N; i++) {
    for (int j = 0; j < N; j++) {
      for (int x = 0; x < N; x++) {
        if (dp[i][j][x][0] < 1e15 || dp[i][j][x][1] < 1e15) {
     //     cout << i << ' ' << j << ' ' <<' ' << x << ' ' << dp[i][j][x][1] << '\n';
          mx = max (mx, x);
        }
      }
    }
  }
  cout << mx << '\n';
  return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 135160 KB Output is correct
2 Correct 76 ms 135164 KB Output is correct
3 Correct 76 ms 135288 KB Output is correct
4 Correct 79 ms 135164 KB Output is correct
5 Correct 77 ms 135160 KB Output is correct
6 Correct 77 ms 135160 KB Output is correct
7 Correct 78 ms 135256 KB Output is correct
8 Correct 80 ms 135288 KB Output is correct
9 Correct 77 ms 135160 KB Output is correct
10 Correct 78 ms 135288 KB Output is correct
11 Correct 95 ms 135232 KB Output is correct
12 Correct 78 ms 135160 KB Output is correct
13 Correct 76 ms 135288 KB Output is correct
14 Correct 75 ms 135160 KB Output is correct
15 Correct 77 ms 135160 KB Output is correct
16 Correct 81 ms 135160 KB Output is correct
17 Correct 78 ms 135160 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 135160 KB Output is correct
2 Correct 76 ms 135164 KB Output is correct
3 Correct 76 ms 135288 KB Output is correct
4 Correct 79 ms 135164 KB Output is correct
5 Correct 77 ms 135160 KB Output is correct
6 Correct 77 ms 135160 KB Output is correct
7 Correct 78 ms 135256 KB Output is correct
8 Correct 80 ms 135288 KB Output is correct
9 Correct 77 ms 135160 KB Output is correct
10 Correct 78 ms 135288 KB Output is correct
11 Correct 95 ms 135232 KB Output is correct
12 Correct 78 ms 135160 KB Output is correct
13 Correct 76 ms 135288 KB Output is correct
14 Correct 75 ms 135160 KB Output is correct
15 Correct 77 ms 135160 KB Output is correct
16 Correct 81 ms 135160 KB Output is correct
17 Correct 78 ms 135160 KB Output is correct
18 Correct 89 ms 135160 KB Output is correct
19 Correct 76 ms 135160 KB Output is correct
20 Correct 83 ms 135288 KB Output is correct
21 Correct 75 ms 135148 KB Output is correct
22 Correct 76 ms 135160 KB Output is correct
23 Correct 79 ms 135160 KB Output is correct
24 Correct 78 ms 135288 KB Output is correct
25 Correct 76 ms 135164 KB Output is correct
26 Correct 77 ms 135136 KB Output is correct
27 Correct 76 ms 135160 KB Output is correct
28 Correct 80 ms 135416 KB Output is correct
29 Correct 78 ms 135208 KB Output is correct
30 Correct 87 ms 135288 KB Output is correct
31 Correct 77 ms 135288 KB Output is correct
32 Correct 76 ms 135288 KB Output is correct
33 Correct 76 ms 135416 KB Output is correct
34 Correct 79 ms 135160 KB Output is correct
35 Correct 78 ms 135160 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 135160 KB Output is correct
2 Correct 76 ms 135164 KB Output is correct
3 Correct 76 ms 135288 KB Output is correct
4 Correct 79 ms 135164 KB Output is correct
5 Correct 77 ms 135160 KB Output is correct
6 Correct 77 ms 135160 KB Output is correct
7 Correct 78 ms 135256 KB Output is correct
8 Correct 80 ms 135288 KB Output is correct
9 Correct 77 ms 135160 KB Output is correct
10 Correct 78 ms 135288 KB Output is correct
11 Correct 95 ms 135232 KB Output is correct
12 Correct 78 ms 135160 KB Output is correct
13 Correct 76 ms 135288 KB Output is correct
14 Correct 75 ms 135160 KB Output is correct
15 Correct 77 ms 135160 KB Output is correct
16 Correct 81 ms 135160 KB Output is correct
17 Correct 78 ms 135160 KB Output is correct
18 Correct 182 ms 135292 KB Output is correct
19 Correct 126 ms 135288 KB Output is correct
20 Correct 95 ms 135160 KB Output is correct
21 Correct 125 ms 135288 KB Output is correct
22 Correct 149 ms 135160 KB Output is correct
23 Correct 95 ms 135288 KB Output is correct
24 Correct 88 ms 135288 KB Output is correct
25 Correct 93 ms 135288 KB Output is correct
26 Correct 81 ms 135160 KB Output is correct
27 Correct 95 ms 135160 KB Output is correct
28 Correct 84 ms 135160 KB Output is correct
29 Correct 93 ms 135160 KB Output is correct
30 Correct 88 ms 135416 KB Output is correct
31 Correct 93 ms 135160 KB Output is correct
32 Correct 83 ms 135160 KB Output is correct
33 Correct 91 ms 135160 KB Output is correct
34 Correct 80 ms 135160 KB Output is correct
35 Correct 93 ms 135160 KB Output is correct
36 Correct 83 ms 135288 KB Output is correct
37 Correct 100 ms 135292 KB Output is correct
38 Correct 83 ms 135160 KB Output is correct
39 Correct 102 ms 135288 KB Output is correct
40 Correct 85 ms 135160 KB Output is correct
41 Correct 228 ms 135208 KB Output is correct
42 Correct 157 ms 135160 KB Output is correct
43 Correct 222 ms 135288 KB Output is correct
44 Correct 155 ms 135288 KB Output is correct
45 Correct 222 ms 135160 KB Output is correct
46 Correct 160 ms 135160 KB Output is correct

Subtask #4
75.0 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 135160 KB Output is correct
2 Correct 76 ms 135164 KB Output is correct
3 Correct 76 ms 135288 KB Output is correct
4 Correct 79 ms 135164 KB Output is correct
5 Correct 77 ms 135160 KB Output is correct
6 Correct 77 ms 135160 KB Output is correct
7 Correct 78 ms 135256 KB Output is correct
8 Correct 80 ms 135288 KB Output is correct
9 Correct 77 ms 135160 KB Output is correct
10 Correct 78 ms 135288 KB Output is correct
11 Correct 95 ms 135232 KB Output is correct
12 Correct 78 ms 135160 KB Output is correct
13 Correct 76 ms 135288 KB Output is correct
14 Correct 75 ms 135160 KB Output is correct
15 Correct 77 ms 135160 KB Output is correct
16 Correct 81 ms 135160 KB Output is correct
17 Correct 78 ms 135160 KB Output is correct
18 Correct 89 ms 135160 KB Output is correct
19 Correct 76 ms 135160 KB Output is correct
20 Correct 83 ms 135288 KB Output is correct
21 Correct 75 ms 135148 KB Output is correct
22 Correct 76 ms 135160 KB Output is correct
23 Correct 79 ms 135160 KB Output is correct
24 Correct 78 ms 135288 KB Output is correct
25 Correct 76 ms 135164 KB Output is correct
26 Correct 77 ms 135136 KB Output is correct
27 Correct 76 ms 135160 KB Output is correct
28 Correct 80 ms 135416 KB Output is correct
29 Correct 78 ms 135208 KB Output is correct
30 Correct 87 ms 135288 KB Output is correct
31 Correct 77 ms 135288 KB Output is correct
32 Correct 76 ms 135288 KB Output is correct
33 Correct 76 ms 135416 KB Output is correct
34 Correct 79 ms 135160 KB Output is correct
35 Correct 78 ms 135160 KB Output is correct
36 Correct 182 ms 135292 KB Output is correct
37 Correct 126 ms 135288 KB Output is correct
38 Correct 95 ms 135160 KB Output is correct
39 Correct 125 ms 135288 KB Output is correct
40 Correct 149 ms 135160 KB Output is correct
41 Correct 95 ms 135288 KB Output is correct
42 Correct 88 ms 135288 KB Output is correct
43 Correct 93 ms 135288 KB Output is correct
44 Correct 81 ms 135160 KB Output is correct
45 Correct 95 ms 135160 KB Output is correct
46 Correct 84 ms 135160 KB Output is correct
47 Correct 93 ms 135160 KB Output is correct
48 Correct 88 ms 135416 KB Output is correct
49 Correct 93 ms 135160 KB Output is correct
50 Correct 83 ms 135160 KB Output is correct
51 Correct 91 ms 135160 KB Output is correct
52 Correct 80 ms 135160 KB Output is correct
53 Correct 93 ms 135160 KB Output is correct
54 Correct 83 ms 135288 KB Output is correct
55 Correct 100 ms 135292 KB Output is correct
56 Correct 83 ms 135160 KB Output is correct
57 Correct 102 ms 135288 KB Output is correct
58 Correct 85 ms 135160 KB Output is correct
59 Correct 228 ms 135208 KB Output is correct
60 Correct 157 ms 135160 KB Output is correct
61 Correct 222 ms 135288 KB Output is correct
62 Correct 155 ms 135288 KB Output is correct
63 Correct 222 ms 135160 KB Output is correct
64 Correct 160 ms 135160 KB Output is correct
65 Correct 197 ms 135160 KB Output is correct
66 Correct 185 ms 135288 KB Output is correct
67 Correct 172 ms 135160 KB Output is correct
68 Correct 169 ms 135160 KB Output is correct
69 Correct 202 ms 135288 KB Output is correct
70 Correct 193 ms 135160 KB Output is correct
71 Correct 192 ms 135160 KB Output is correct
72 Correct 194 ms 135416 KB Output is correct
73 Correct 182 ms 135264 KB Output is correct
74 Correct 173 ms 135160 KB Output is correct
75 Correct 191 ms 135288 KB Output is correct
76 Correct 204 ms 135160 KB Output is correct
77 Correct 213 ms 135260 KB Output is correct
78 Correct 172 ms 135292 KB Output is correct
79 Correct 166 ms 135288 KB Output is correct
80 Correct 208 ms 135288 KB Output is correct
81 Correct 169 ms 135160 KB Output is correct
82 Correct 183 ms 135288 KB Output is correct
83 Correct 226 ms 135176 KB Output is correct
84 Correct 191 ms 135288 KB Output is correct
85 Correct 206 ms 135416 KB Output is correct
86 Correct 202 ms 135288 KB Output is correct
87 Correct 186 ms 135160 KB Output is correct
88 Correct 227 ms 135160 KB Output is correct
89 Correct 231 ms 135288 KB Output is correct
90 Correct 189 ms 135288 KB Output is correct
91 Correct 215 ms 135244 KB Output is correct
92 Correct 214 ms 135160 KB Output is correct
93 Correct 218 ms 135160 KB Output is correct