oj.uz

Submission #219318

# Submission time Handle Problem Language Result Execution time Memory
219318 2020-04-05T06:44:16 Z rama_pang Lamps (JOI19_lamps) C++14
100 / 100
 142 ms 66468 KB 
#include <bits/stdc++.h>
using namespace std;

const int INF = 1e7;

int N;
string A, B;

void Read() {
  ios::sync_with_stdio(0);
  cin.tie(0), cout.tie(0);

  cin >> N >> A >> B;
}

int Solve() {
  vector<array<array<int, 4>, 4>> dp(N + 1); // dp[pos][second_last_operation][last_operation]
  // dp[pos] means A[pos...N] = B[pos...N]
  // operation 0 = skip operation
  // operation 1 = off operation
  // operation 2 = on operation
  // operation 3 = xor operation

  for (int i = 0; i <= N; i++) {
    for (int j = 0; j < 4; j++) {
      for (int k = 0; k < 4; k++) { 
        dp[i][j][k] = INF;
      }
    }
  }

  dp[0][0][0] = 0;
  for (int pos = 0; pos < N; pos++) {
    // merge operation
    if (B[pos] == '0') {
      dp[pos + 1][0][1] = min(dp[pos + 1][0][1], dp[pos][1][2]); // off on off (from off off/on off)
      dp[pos + 1][0][1] = min(dp[pos + 1][0][1], dp[pos][3][2]); // xor on off (from xor off/xor off)
    }
    if (B[pos] == '1') {
      dp[pos + 1][0][2] = min(dp[pos + 1][0][2], dp[pos][2][1]); // on off on (from on on/off on)
      dp[pos + 1][0][2] = min(dp[pos + 1][0][2], dp[pos][3][1]); // xor off on (from xor on/xor on)
    }
    if (A[pos] != B[pos]) {
      dp[pos + 1][0][3] = min(dp[pos + 1][0][3], dp[pos][1][2]); // off on xor (from off off/xor xor)
      dp[pos + 1][0][3] = min(dp[pos + 1][0][3], dp[pos][2][1]); // on off xor (from on on/xor xor)
      dp[pos + 1][0][3] = min(dp[pos + 1][0][3], dp[pos][3][2]); // xor on xor (from xor xor/on xor)
      dp[pos + 1][0][3] = min(dp[pos + 1][0][3], dp[pos][3][1]); // xor off xor (from xor xor/off xor)
    }


    for (int second_last = 0; second_last < 4; second_last++) {
      // extend last operation
      if (A[pos] == B[pos]) { // operation skip (0)
        dp[pos + 1][second_last][0] = min(dp[pos + 1][second_last][0], dp[pos][second_last][0]);
      }
      if (B[pos] == '0') { // operation off (1)
        dp[pos + 1][second_last][1] = min(dp[pos + 1][second_last][1], dp[pos][second_last][1]);
      }
      if (B[pos] == '1') { // operation on (2)
        dp[pos + 1][second_last][2] = min(dp[pos + 1][second_last][2], dp[pos][second_last][2]);
      }
      if (A[pos] != B[pos]) { // operation xor (3)
        dp[pos + 1][second_last][3] = min(dp[pos + 1][second_last][3], dp[pos][second_last][3]);
      }


      // new operation
      for (int last = 0; last < 4; last++) {
        if (A[pos] == B[pos]) { // operation skip (0)
          dp[pos + 1][last][0] = min(dp[pos + 1][last][0], dp[pos][second_last][last]);
        }
        if (B[pos] == '0') { // operation off (1)
          dp[pos + 1][last][1] = min(dp[pos + 1][last][1], 1 + dp[pos][second_last][last]);
        }
        if (B[pos] == '1') { // operation on (2)
          dp[pos + 1][last][2] = min(dp[pos + 1][last][2], 1 + dp[pos][second_last][last]);
        }
        if (A[pos] != B[pos]) { // operation xor (3)
          dp[pos + 1][last][3] = min(dp[pos + 1][last][3], 1 + dp[pos][second_last][last]);
        }
      }
    }
  }  

  int res = INF;
  for (int second_last = 0; second_last < 4; second_last++) {
    for (int last = 0; last < 4; last++) {
      res = min(res, dp[N][second_last][last]);
    }
  }

  return res;
}

int main() {
  Read();
  cout << Solve() << "\n";
  return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 256 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 4 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 4 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 5 ms 512 KB Output is correct
23 Correct 4 ms 384 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 4 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 4 ms 384 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 4 ms 384 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 5 ms 384 KB Output is correct
34 Correct 4 ms 384 KB Output is correct

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 256 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 4 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 4 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 5 ms 512 KB Output is correct
23 Correct 4 ms 384 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 4 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 4 ms 384 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 4 ms 384 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 5 ms 384 KB Output is correct
34 Correct 4 ms 384 KB Output is correct
35 Correct 5 ms 512 KB Output is correct
36 Correct 5 ms 512 KB Output is correct
37 Correct 5 ms 512 KB Output is correct
38 Correct 5 ms 512 KB Output is correct
39 Correct 5 ms 512 KB Output is correct
40 Correct 5 ms 512 KB Output is correct
41 Correct 5 ms 512 KB Output is correct
42 Correct 5 ms 512 KB Output is correct
43 Correct 5 ms 512 KB Output is correct
44 Correct 5 ms 512 KB Output is correct
45 Correct 5 ms 512 KB Output is correct
46 Correct 5 ms 512 KB Output is correct
47 Correct 5 ms 512 KB Output is correct
48 Correct 5 ms 512 KB Output is correct
49 Correct 5 ms 512 KB Output is correct
50 Correct 5 ms 512 KB Output is correct
51 Correct 5 ms 512 KB Output is correct
52 Correct 5 ms 512 KB Output is correct
53 Correct 5 ms 512 KB Output is correct
54 Correct 5 ms 512 KB Output is correct
55 Correct 5 ms 512 KB Output is correct
56 Correct 5 ms 512 KB Output is correct
57 Correct 5 ms 512 KB Output is correct
58 Correct 5 ms 512 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 121 ms 66380 KB Output is correct
8 Correct 120 ms 66252 KB Output is correct
9 Correct 123 ms 66252 KB Output is correct
10 Correct 120 ms 66260 KB Output is correct
11 Correct 118 ms 66252 KB Output is correct
12 Correct 116 ms 66248 KB Output is correct
13 Correct 119 ms 66260 KB Output is correct
14 Correct 116 ms 66248 KB Output is correct

Subtask #4
49.0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 256 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 4 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 4 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 5 ms 512 KB Output is correct
23 Correct 4 ms 384 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 4 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 4 ms 384 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 4 ms 384 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 5 ms 384 KB Output is correct
34 Correct 4 ms 384 KB Output is correct
35 Correct 5 ms 512 KB Output is correct
36 Correct 5 ms 512 KB Output is correct
37 Correct 5 ms 512 KB Output is correct
38 Correct 5 ms 512 KB Output is correct
39 Correct 5 ms 512 KB Output is correct
40 Correct 5 ms 512 KB Output is correct
41 Correct 5 ms 512 KB Output is correct
42 Correct 5 ms 512 KB Output is correct
43 Correct 5 ms 512 KB Output is correct
44 Correct 5 ms 512 KB Output is correct
45 Correct 5 ms 512 KB Output is correct
46 Correct 5 ms 512 KB Output is correct
47 Correct 5 ms 512 KB Output is correct
48 Correct 5 ms 512 KB Output is correct
49 Correct 5 ms 512 KB Output is correct
50 Correct 5 ms 512 KB Output is correct
51 Correct 5 ms 512 KB Output is correct
52 Correct 5 ms 512 KB Output is correct
53 Correct 5 ms 512 KB Output is correct
54 Correct 5 ms 512 KB Output is correct
55 Correct 5 ms 512 KB Output is correct
56 Correct 5 ms 512 KB Output is correct
57 Correct 5 ms 512 KB Output is correct
58 Correct 5 ms 512 KB Output is correct
59 Correct 4 ms 384 KB Output is correct
60 Correct 5 ms 384 KB Output is correct
61 Correct 5 ms 384 KB Output is correct
62 Correct 5 ms 384 KB Output is correct
63 Correct 4 ms 384 KB Output is correct
64 Correct 5 ms 384 KB Output is correct
65 Correct 121 ms 66380 KB Output is correct
66 Correct 120 ms 66252 KB Output is correct
67 Correct 123 ms 66252 KB Output is correct
68 Correct 120 ms 66260 KB Output is correct
69 Correct 118 ms 66252 KB Output is correct
70 Correct 116 ms 66248 KB Output is correct
71 Correct 119 ms 66260 KB Output is correct
72 Correct 116 ms 66248 KB Output is correct
73 Correct 112 ms 66376 KB Output is correct
74 Correct 111 ms 66376 KB Output is correct
75 Correct 133 ms 66388 KB Output is correct
76 Correct 111 ms 66376 KB Output is correct
77 Correct 113 ms 66380 KB Output is correct
78 Correct 111 ms 66376 KB Output is correct
79 Correct 110 ms 66380 KB Output is correct
80 Correct 112 ms 66380 KB Output is correct
81 Correct 114 ms 66368 KB Output is correct
82 Correct 112 ms 66380 KB Output is correct
83 Correct 127 ms 66376 KB Output is correct
84 Correct 118 ms 66372 KB Output is correct
85 Correct 119 ms 66380 KB Output is correct
86 Correct 121 ms 66380 KB Output is correct
87 Correct 117 ms 66372 KB Output is correct
88 Correct 119 ms 66380 KB Output is correct
89 Correct 122 ms 66388 KB Output is correct
90 Correct 119 ms 66372 KB Output is correct
91 Correct 131 ms 66428 KB Output is correct
92 Correct 125 ms 66380 KB Output is correct
93 Correct 119 ms 66384 KB Output is correct
94 Correct 142 ms 66376 KB Output is correct
95 Correct 123 ms 66380 KB Output is correct
96 Correct 119 ms 66380 KB Output is correct
97 Correct 123 ms 66392 KB Output is correct
98 Correct 120 ms 66380 KB Output is correct
99 Correct 129 ms 66468 KB Output is correct
100 Correct 123 ms 66380 KB Output is correct
101 Correct 122 ms 66376 KB Output is correct
102 Correct 121 ms 66376 KB Output is correct