oj.uz

Submission #1104947

# Submission time Handle Problem Language Result Execution time Memory
1104947 2024-10-24T21:11:28 Z belgianbot Mosaic (IOI24_mosaic) C++17
100 / 100
 136 ms 44452 KB 
    #include "mosaic.h"
    #include <bits/stdc++.h>
    #define int long long
     
    using namespace std;
     
    vector<signed> X, Y, T, B, L, R;
    vector<long long> C;
    int N, Q;
     
    void sub() {
     
        vector<vector<bool>> grid(N, vector<bool>(N));
      for (int i = 0; i < N; i++) {
        grid[0][i] = X[i];
        grid[i][0] = Y[i];
      }
      for (int i = 1; i < N; i++) {
        for (int j = 1; j < N; j++) {
          grid[i][j] = !(grid[i - 1][j] || grid[i][j - 1]);
        }
      }
     
      vector<vector<int>> dp(N , vector<int> (N, 0));
      for (int i = 0; i < N; i++) {
        int l = 0;
        for (int j = 0; j < N; j++) {
          l += grid[i][j];
          if (i) dp[i][j] = dp[i - 1][j];
          dp[i][j] += l; 
        }
      }
     
      for (int i = 0; i < Q; i++) {
        int ans = 0;
        if (!L[i] && ! T[i]) ans = dp[B[i]][R[i]];
        else {
          ans = dp[B[i]][R[i]];
          if (L[i]) ans -= dp[B[i]][L[i] - 1];
          if (T[i]) ans -= dp[T[i] - 1][R[i]];
          if (L[i] && T[i]) ans += dp[T[i] - 1][L[i] - 1];
        }
        C[i] = ans;
      }
    }
    std::vector<long long> mosaic(std::vector<signed> X_, std::vector<signed> Y_,std::vector<signed> T_, std::vector<signed> B_, std::vector<signed> L_, std::vector<signed> R_) {
     
      ios::sync_with_stdio(false);
      cin.tie(0);
      X = X_; Y = Y_; T = T_; B = B_; L = L_; R = R_;
      Q = (int)T.size();
      N = X.size();
      C.resize(Q, 0);
      if (N <= 3) {
        sub();
        return C;
      }
      
      vector<vector<bool>> line(3, vector<bool>(N)), column(3, vector<bool>(N));
      for (int i = 0; i < N; i++) {
        line[0][i] = X[i];
        column[0][i] = Y[i];
      }
      line[1][0] = Y[1], line[2][0] = Y[2];
      column[1][0] = X[1], column[2][0] = X[2];
      for (int i = 1; i < 3; i++) {
        for (int j = 1; j < N; j++) {
          line[i][j] = !(line[i - 1][j] || line[i][j - 1]);
          column[i][j] = !(column[i - 1][j] || column[i][j - 1]);
        }
      }
     
      vector<vector<int>> dpLine(3 , vector<int> (N, 0)), dpColumn(3, vector<int>(N, 0));
      for (int i = 0; i < 3; i++) {
        int lLine = 0, lColumn = 0;
        for (int j = 0; j < N; j++) {
          lLine += line[i][j]; lColumn += column[i][j];
          if (i) {
            dpLine[i][j] = dpLine[i - 1][j];
            dpColumn[i][j] = dpColumn[i - 1][j];
          }
          dpLine[i][j] += lLine, dpColumn[i][j] += lColumn; 
        }
      }
      
      vector<bool> diag(2 * N-1, false);
      for (int i = 0; i <= N - 2; i++) {
        diag[N + 1 - i] = column[2][i];
        diag[N - 3 + i] = line[2][i];
      }
      
      vector<int> prefL(2 * N - 1, 0), prefR(2 * N-1, 0), pref(2 * N-1);
     
      int cnt = 1;
      for (int i = 0; i < 2 * N - 1; i++) {
        if (i) {
            prefL[i] = prefL[i - 1];
            pref[i] = pref[i - 1];
            prefR[2 * N - i - 2] = prefR[2 * N - i - 1];
        }
        prefL[i] += diag[i] * cnt;
        prefR[2 * N - i - 2] += diag[2 * N - i - 2] * cnt;
        pref[i] += diag[i];
        cnt++;
      }
      /*for (int i = 0; i < 3; i++) {
        prefL[i] = 0;
        pref[i] = 0;
        prefR[i] = 0;
        prefL[2*N - 2 - i] = 0;
        prefR[2*N - 2 - i] = 0;
        pref[2*N - 2 - i] = 0;
     
      }*/
      
      for (int i = 0; i < Q; i++) {
        int t = T[i], b = B[i], l = L[i], r = R[i];
        
        if (t < 3) {
            if (b < 3) {
                C[i] += dpLine[b][r];
                if (t) C[i] -= dpLine[t - 1][r];
                if (l) C[i] -= dpLine[b][l - 1];
                if (t && l) C[i] += dpLine[t - 1][l - 1];
                continue;
            }
            else {
                C[i] += dpLine[2][r];
                if (t) C[i] -= dpLine[t - 1][r];
                if (l) C[i] -= dpLine[2][l - 1];
                if (t && l) C[i] += dpLine[t - 1][l - 1];
            }
            t = 3;
        }
        if (l < 3) {
            if (r < 3) {
                C[i] += dpColumn[r][b];
                if (t) C[i] -= dpColumn[r][t - 1];
                if (l) C[i] -= dpColumn[l - 1][b];
                if (t && l) C[i] += dpColumn[l - 1][t - 1];
                continue;
            }
            else {
                C[i] += dpColumn[2][b];
                if (t) C[i] -= dpColumn[2][t - 1];
                if (l) C[i] -= dpColumn[l - 1][b];
                if (t && l) C[i] += dpColumn[l - 1][t - 1];
            }
            l = 3;
        }
        int diag1 = N - 1 - b + l;
        int diag2 = N - 1 - t + r;
        
        int mid = (diag1 + diag2 + 1) / 2;
        C[i] += prefL[mid] - prefL[diag1 - 1];
        C[i] -= (pref[mid] - pref[diag1 - 1]) * diag1;
        C[i] += prefR[mid + 1] - prefR[diag2 + 1];
        C[i] -= (pref[diag2] - pref[mid]) * (2 * N - 2 - diag2);
        int height = b - t + 1, large = r - l + 1, limit = min(height, large);
        /*if (mid >= diag1 + limit - 1)*/C[i] -= prefL[mid] - prefL[diag1 + limit - 1] - (pref[mid] - pref[diag1 + limit - 1]) * (diag1 + limit);
        /*if (mid + 1 - diag2 + limit - 1 <= 0)*/ C[i] -= prefR[mid + 1] - prefR[diag2 - limit + 1] - (pref[diag2 - limit]- pref[mid]) * (2 * N - 2 - diag2 + limit);
      }
      return C;
    }

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 2 ms 444 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 112 ms 42436 KB Output is correct
2 Correct 105 ms 41896 KB Output is correct
3 Correct 110 ms 41516 KB Output is correct
4 Correct 105 ms 41920 KB Output is correct
5 Correct 89 ms 29032 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 2 ms 444 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 70 ms 17224 KB Output is correct
19 Correct 61 ms 17040 KB Output is correct
20 Correct 61 ms 16976 KB Output is correct
21 Correct 61 ms 16712 KB Output is correct
22 Correct 64 ms 16980 KB Output is correct
23 Correct 63 ms 16712 KB Output is correct
24 Correct 63 ms 16624 KB Output is correct
25 Correct 61 ms 16640 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 61 ms 14408 KB Output is correct
2 Correct 119 ms 43944 KB Output is correct
3 Correct 107 ms 43244 KB Output is correct
4 Correct 112 ms 43248 KB Output is correct
5 Correct 105 ms 43632 KB Output is correct
6 Correct 114 ms 43884 KB Output is correct
7 Correct 115 ms 44008 KB Output is correct
8 Correct 115 ms 44076 KB Output is correct
9 Correct 89 ms 30184 KB Output is correct
10 Correct 93 ms 30276 KB Output is correct
11 Correct 90 ms 30312 KB Output is correct

Subtask #6
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 124 ms 44088 KB Output is correct
2 Correct 136 ms 44068 KB Output is correct
3 Correct 117 ms 42404 KB Output is correct
4 Correct 111 ms 42540 KB Output is correct
5 Correct 118 ms 44452 KB Output is correct
6 Correct 91 ms 30520 KB Output is correct
7 Correct 89 ms 24872 KB Output is correct

Subtask #7
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 112 ms 42436 KB Output is correct
2 Correct 105 ms 41896 KB Output is correct
3 Correct 110 ms 41516 KB Output is correct
4 Correct 105 ms 41920 KB Output is correct
5 Correct 89 ms 29032 KB Output is correct
6 Correct 124 ms 44088 KB Output is correct
7 Correct 136 ms 44068 KB Output is correct
8 Correct 117 ms 42404 KB Output is correct
9 Correct 111 ms 42540 KB Output is correct
10 Correct 118 ms 44452 KB Output is correct
11 Correct 91 ms 30520 KB Output is correct
12 Correct 89 ms 24872 KB Output is correct
13 Correct 130 ms 44076 KB Output is correct
14 Correct 133 ms 43900 KB Output is correct
15 Correct 113 ms 44204 KB Output is correct
16 Correct 109 ms 42408 KB Output is correct
17 Correct 113 ms 43564 KB Output is correct
18 Correct 131 ms 44076 KB Output is correct
19 Correct 89 ms 27624 KB Output is correct

Subtask #8
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 2 ms 444 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 112 ms 42436 KB Output is correct
20 Correct 105 ms 41896 KB Output is correct
21 Correct 110 ms 41516 KB Output is correct
22 Correct 105 ms 41920 KB Output is correct
23 Correct 89 ms 29032 KB Output is correct
24 Correct 70 ms 17224 KB Output is correct
25 Correct 61 ms 17040 KB Output is correct
26 Correct 61 ms 16976 KB Output is correct
27 Correct 61 ms 16712 KB Output is correct
28 Correct 64 ms 16980 KB Output is correct
29 Correct 63 ms 16712 KB Output is correct
30 Correct 63 ms 16624 KB Output is correct
31 Correct 61 ms 16640 KB Output is correct
32 Correct 61 ms 14408 KB Output is correct
33 Correct 119 ms 43944 KB Output is correct
34 Correct 107 ms 43244 KB Output is correct
35 Correct 112 ms 43248 KB Output is correct
36 Correct 105 ms 43632 KB Output is correct
37 Correct 114 ms 43884 KB Output is correct
38 Correct 115 ms 44008 KB Output is correct
39 Correct 115 ms 44076 KB Output is correct
40 Correct 89 ms 30184 KB Output is correct
41 Correct 93 ms 30276 KB Output is correct
42 Correct 90 ms 30312 KB Output is correct
43 Correct 124 ms 44088 KB Output is correct
44 Correct 136 ms 44068 KB Output is correct
45 Correct 117 ms 42404 KB Output is correct
46 Correct 111 ms 42540 KB Output is correct
47 Correct 118 ms 44452 KB Output is correct
48 Correct 91 ms 30520 KB Output is correct
49 Correct 89 ms 24872 KB Output is correct
50 Correct 130 ms 44076 KB Output is correct
51 Correct 133 ms 43900 KB Output is correct
52 Correct 113 ms 44204 KB Output is correct
53 Correct 109 ms 42408 KB Output is correct
54 Correct 113 ms 43564 KB Output is correct
55 Correct 131 ms 44076 KB Output is correct
56 Correct 89 ms 27624 KB Output is correct
57 Correct 131 ms 43880 KB Output is correct
58 Correct 124 ms 43564 KB Output is correct
59 Correct 117 ms 43880 KB Output is correct
60 Correct 123 ms 43308 KB Output is correct
61 Correct 120 ms 43320 KB Output is correct
62 Correct 123 ms 43564 KB Output is correct
63 Correct 98 ms 30520 KB Output is correct
64 Correct 88 ms 24044 KB Output is correct