|
5 | 5 | import java.util.List;
|
6 | 6 | import java.util.Map;
|
7 | 7 |
|
8 |
| -/** |
9 |
| - * 756. Pyramid Transition Matrix |
10 |
| - * |
11 |
| - * We are stacking blocks to form a pyramid. Each block has a color which is a one letter string, like `'Z'`. |
12 |
| - * For every block of color `C` we place not in the bottom row, |
13 |
| - * we are placing it on top of a left block of color `A` and right block of color `B`. |
14 |
| - * We are allowed to place the block there only if `(A, B, C)` is an allowed triple. |
15 |
| - * We start with a bottom row of bottom, |
16 |
| - * represented as a single string. We also start with a list of allowed triples allowed. |
17 |
| - * Each allowed triple is represented as a string of length 3. |
18 |
| - * Return true if we can build the pyramid all the way to the top, otherwise false. |
19 |
| -
|
20 |
| - Example 1: |
21 |
| - Input: bottom = "XYZ", allowed = ["XYD", "YZE", "DEA", "FFF"] |
22 |
| - Output: true |
23 |
| - Explanation: |
24 |
| - We can stack the pyramid like this: |
25 |
| - A |
26 |
| - / \ |
27 |
| - D E |
28 |
| - / \ / \ |
29 |
| - X Y Z |
30 |
| -
|
31 |
| - This works because ('X', 'Y', 'D'), ('Y', 'Z', 'E'), and ('D', 'E', 'A') are allowed triples. |
32 |
| -
|
33 |
| - Example 2: |
34 |
| - Input: bottom = "XXYX", allowed = ["XXX", "XXY", "XYX", "XYY", "YXZ"] |
35 |
| - Output: false |
36 |
| - Explanation: |
37 |
| - We can't stack the pyramid to the top. |
38 |
| - Note that there could be allowed triples (A, B, C) and (A, B, D) with C != D. |
39 |
| -
|
40 |
| - Note: |
41 |
| - bottom will be a string with length in range [2, 8]. |
42 |
| - allowed will have length in range [0, 200]. |
43 |
| - Letters in all strings will be chosen from the set {'A', 'B', 'C', 'D', 'E', 'F', 'G'}. |
44 |
| - */ |
45 | 8 | public class _756 {
|
46 |
| - public static class Solution1 { |
47 |
| - /**credit: https://discuss.leetcode.com/topic/116042/java-solution-map-backtracking*/ |
48 |
| - public boolean pyramidTransition(String bottom, List<String> allowed) { |
49 |
| - Map<String, List<String>> map = new HashMap<>(); |
50 |
| - for (String s : allowed) { |
51 |
| - String key = s.substring(0, 2); |
52 |
| - if (!map.containsKey(key)) { |
53 |
| - map.put(key, new ArrayList<>()); |
| 9 | + public static class Solution1 { |
| 10 | + /** |
| 11 | + * credit: https://discuss.leetcode.com/topic/116042/java-solution-map-backtracking |
| 12 | + */ |
| 13 | + public boolean pyramidTransition(String bottom, List<String> allowed) { |
| 14 | + Map<String, List<String>> map = new HashMap<>(); |
| 15 | + for (String s : allowed) { |
| 16 | + String key = s.substring(0, 2); |
| 17 | + if (!map.containsKey(key)) { |
| 18 | + map.put(key, new ArrayList<>()); |
| 19 | + } |
| 20 | + map.get(key).add(s.substring(2)); |
| 21 | + } |
| 22 | + |
| 23 | + return helper(bottom, map); |
54 | 24 | }
|
55 |
| - map.get(key).add(s.substring(2)); |
56 |
| - } |
57 | 25 |
|
58 |
| - return helper(bottom, map); |
59 |
| - } |
60 |
| - |
61 |
| - private boolean helper(String bottom, Map<String, List<String>> map) { |
62 |
| - if (bottom.length() == 1) { |
63 |
| - return true; |
64 |
| - } |
65 |
| - for (int i = 0; i < bottom.length() - 1; i++) { |
66 |
| - if (!map.containsKey(bottom.substring(i, i + 2))) { |
67 |
| - return false; |
68 |
| - } |
69 |
| - } |
70 |
| - List<String> ls = new ArrayList<>(); |
71 |
| - getList(bottom, 0, new StringBuilder(), ls, map); |
72 |
| - for (String s : ls) { |
73 |
| - if (helper(s, map)) { |
74 |
| - return true; |
| 26 | + private boolean helper(String bottom, Map<String, List<String>> map) { |
| 27 | + if (bottom.length() == 1) { |
| 28 | + return true; |
| 29 | + } |
| 30 | + for (int i = 0; i < bottom.length() - 1; i++) { |
| 31 | + if (!map.containsKey(bottom.substring(i, i + 2))) { |
| 32 | + return false; |
| 33 | + } |
| 34 | + } |
| 35 | + List<String> ls = new ArrayList<>(); |
| 36 | + getList(bottom, 0, new StringBuilder(), ls, map); |
| 37 | + for (String s : ls) { |
| 38 | + if (helper(s, map)) { |
| 39 | + return true; |
| 40 | + } |
| 41 | + } |
| 42 | + return false; |
75 | 43 | }
|
76 |
| - } |
77 |
| - return false; |
78 |
| - } |
79 | 44 |
|
80 |
| - private void getList(String bottom, int idx, StringBuilder sb, List<String> ls, |
81 |
| - Map<String, List<String>> map) { |
82 |
| - if (idx == bottom.length() - 1) { |
83 |
| - ls.add(sb.toString()); |
84 |
| - return; |
85 |
| - } |
86 |
| - for (String s : map.get(bottom.substring(idx, idx + 2))) { |
87 |
| - sb.append(s); |
88 |
| - getList(bottom, idx + 1, sb, ls, map); |
89 |
| - sb.deleteCharAt(sb.length() - 1); |
90 |
| - } |
| 45 | + private void getList(String bottom, int idx, StringBuilder sb, List<String> ls, |
| 46 | + Map<String, List<String>> map) { |
| 47 | + if (idx == bottom.length() - 1) { |
| 48 | + ls.add(sb.toString()); |
| 49 | + return; |
| 50 | + } |
| 51 | + for (String s : map.get(bottom.substring(idx, idx + 2))) { |
| 52 | + sb.append(s); |
| 53 | + getList(bottom, idx + 1, sb, ls, map); |
| 54 | + sb.deleteCharAt(sb.length() - 1); |
| 55 | + } |
| 56 | + } |
91 | 57 | }
|
92 |
| - } |
93 | 58 | }
|
0 commit comments