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| 1 | + |
| 2 | + public static boolean isSafe(int[][] mat, int i, int j) { |
| 3 | + if (i < 0 || i >= mat.length || j < 0 || j >= mat[0].length || mat[i][j] == -1) { |
| 4 | + return false; |
| 5 | + } |
| 6 | + |
| 7 | + return true; |
| 8 | + } |
| 9 | + |
| 10 | + public static int findMaximum(int[][] mat, List<Integer> indices, HashMap<List<Integer>, Integer> cache) { |
| 11 | + int i1 = indices.get(0), j1 = indices.get(1), i2 = indices.get(2), j2 = indices.get(3); |
| 12 | + if (!isSafe(mat, i1, j1) || (!isSafe(mat, i2, j2))) { |
| 13 | + return Integer.MIN_VALUE; |
| 14 | + } |
| 15 | + |
| 16 | + List<Integer> lastIndex = Arrays.asList(mat.length-1, mat[0].length-1, mat.length-1, mat[0].length-1); |
| 17 | + if (indices.equals(lastIndex)) { |
| 18 | + return mat[i1][j1]; |
| 19 | + } |
| 20 | + |
| 21 | + Integer value = cache.get(indices); |
| 22 | + if (value != null) { |
| 23 | + return value; |
| 24 | + } |
| 25 | + |
| 26 | + Integer numPoints = mat[i1][j1]; |
| 27 | + if (i1 != i2 || j1 != j2) { |
| 28 | + numPoints += mat[i2][j2]; |
| 29 | + } |
| 30 | + numPoints += Math.max( |
| 31 | + Math.max(findMaximum(mat, Arrays.asList(i1+1, j1, i2+1, j2), cache), |
| 32 | + findMaximum(mat, Arrays.asList(i1, j1+1, i2, j2+1), cache)), |
| 33 | + Math.max(findMaximum(mat, Arrays.asList(i1+1, j1, i2, j2+1), cache), |
| 34 | + findMaximum(mat, Arrays.asList(i1, j1+1, i2+1, j2), cache)) |
| 35 | + ); |
| 36 | + cache.put(indices, numPoints); |
| 37 | + |
| 38 | + return numPoints; |
| 39 | + } |
| 40 | + public static int GetMaxMangoes(List<String> a) { |
| 41 | + int n = a.size(); |
| 42 | + int m = a.get(0).length(); |
| 43 | + |
| 44 | + int[][] mat = new int[n][m]; |
| 45 | + |
| 46 | + for(int i = 0; i < n; i++) { |
| 47 | + for(int j = 0; j < m; j++) { |
| 48 | + if(a.get(i).charAt(j) == '*') { |
| 49 | + mat[i][j] = 0; |
| 50 | + } else if(a.get(i).charAt(j) == '$') { |
| 51 | + mat[i][j] = 1; |
| 52 | + } else { |
| 53 | + mat[i][j] = -1; |
| 54 | + } |
| 55 | + } |
| 56 | + } |
| 57 | + |
| 58 | + HashMap<List<Integer>, Integer> cache = new HashMap<List<Integer>, Integer>(); |
| 59 | + int ans = findMaximum(mat, Arrays.asList(0, 0, 0, 0), cache); |
| 60 | + |
| 61 | + cache = new HashMap<>(); |
| 62 | + |
| 63 | + int[][] b = new int[n][m]; |
| 64 | + |
| 65 | + for(int j = n-1; j >= 0; j--) { |
| 66 | + for(int i = 0; i < n; i++) { |
| 67 | + b[n-1-i][n-1-j] = mat[i][j]; |
| 68 | + } |
| 69 | + } |
| 70 | + |
| 71 | + ans += findMaximum(b, Arrays.asList(0,0,0,0), cache); |
| 72 | + return ans; |
| 73 | + } |
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