|
| 1 | +/* |
| 2 | +Passed a tree and vector with numbers: |
| 3 | +
|
| 4 | +1. Print the first index of level, which spelled left to right, |
| 5 | + is equal to the passed vector. -1 if no such level exists. |
| 6 | +
|
| 7 | +2. Remove all such levels from the tree. |
| 8 | +*/ |
| 9 | +#include <iostream> |
| 10 | +#include <vector> |
| 11 | +#include <set> |
| 12 | + |
| 13 | +struct TreeNode |
| 14 | +{ |
| 15 | + int data; |
| 16 | + std::vector<TreeNode*> nodes; |
| 17 | + |
| 18 | + void absorbeChildren() |
| 19 | + { |
| 20 | + unsigned size = nodes.size(); |
| 21 | + |
| 22 | + for(size_t i = 0; i < size; i++) |
| 23 | + { |
| 24 | + nodes.insert(nodes.end(), |
| 25 | + nodes[i]->nodes.begin(), |
| 26 | + nodes[i]->nodes.end()); |
| 27 | + |
| 28 | + delete nodes[i]; |
| 29 | + } |
| 30 | + |
| 31 | + nodes.erase(nodes.begin(), nodes.begin() + size); |
| 32 | + } |
| 33 | +}; |
| 34 | + |
| 35 | +using level_t = std::vector<int>; |
| 36 | +using levelsContainer = std::vector<level_t>; |
| 37 | + |
| 38 | +void collectLevels(const TreeNode* root, |
| 39 | + levelsContainer& levels, |
| 40 | + unsigned level = 0) |
| 41 | +{ |
| 42 | + if(!root) return; |
| 43 | + |
| 44 | + if(levels.size() <= level) |
| 45 | + levels.emplace_back(); |
| 46 | + |
| 47 | + levels[level].push_back(root->data); |
| 48 | + |
| 49 | + for(const TreeNode* node : root->nodes) |
| 50 | + collectLevels(node, levels, level + 1); |
| 51 | +} |
| 52 | + |
| 53 | +bool equalLevels(const level_t& left, const level_t& right) |
| 54 | +{ |
| 55 | + if(left.size() != right.size()) |
| 56 | + return false; |
| 57 | + |
| 58 | + for (size_t i = 0; i < left.size(); i++) |
| 59 | + { |
| 60 | + if(left[i] != right[i]) |
| 61 | + return false; |
| 62 | + } |
| 63 | + return true; |
| 64 | +} |
| 65 | + |
| 66 | +int findLevel(const TreeNode* root, const std::vector<int>& numbers) |
| 67 | +{ |
| 68 | + levelsContainer levels; |
| 69 | + collectLevels(root, levels); |
| 70 | + |
| 71 | + for(size_t i = 0; i < levels.size(); i++) |
| 72 | + { |
| 73 | + if(equalLevels(levels[i], numbers)) |
| 74 | + return i; |
| 75 | + } |
| 76 | + return -1; |
| 77 | +} |
| 78 | + |
| 79 | +void removeAllLevelsRec(TreeNode* root, |
| 80 | + const std::set<int>& levels, |
| 81 | + unsigned level = 0) |
| 82 | +{ |
| 83 | + if(!root) return; |
| 84 | + |
| 85 | + while(levels.find(level + 1) != levels.end()) |
| 86 | + { |
| 87 | + root->absorbeChildren(); |
| 88 | + level += 1; |
| 89 | + } |
| 90 | + |
| 91 | + for(TreeNode* child : root->nodes) |
| 92 | + removeAllLevelsRec(child, levels, level + 1); |
| 93 | +} |
| 94 | + |
| 95 | +void removeAllLevels(TreeNode* root, const std::vector<int>& numbers) |
| 96 | +{ |
| 97 | + levelsContainer levels; |
| 98 | + collectLevels(root, levels); |
| 99 | + std::set<int> remove; |
| 100 | + |
| 101 | + for(int i = 1; i < levels.size(); i++) |
| 102 | + { |
| 103 | + if(equalLevels(numbers, levels[i])) |
| 104 | + remove.insert(i); |
| 105 | + } |
| 106 | + |
| 107 | + removeAllLevelsRec(root, remove); |
| 108 | +} |
| 109 | + |
| 110 | +void printLevels(const levelsContainer& container) |
| 111 | +{ |
| 112 | + for(const auto& level : container) |
| 113 | + { |
| 114 | + for(int x : level) |
| 115 | + std::cout << x << ' '; |
| 116 | + |
| 117 | + std::cout << std::endl; |
| 118 | + } |
| 119 | +} |
| 120 | + |
| 121 | +TreeNode* create(int data, std::initializer_list<TreeNode*> children = {}) |
| 122 | +{ |
| 123 | + TreeNode* n = new TreeNode; |
| 124 | + n->data = data; |
| 125 | + |
| 126 | + for(TreeNode* c : children) |
| 127 | + n->nodes.push_back(c); |
| 128 | + |
| 129 | + return n; |
| 130 | +} |
| 131 | + |
| 132 | +void runExample(TreeNode* example, const std::vector<int>& numbers) |
| 133 | +{ |
| 134 | + removeAllLevels(example, numbers); |
| 135 | + levelsContainer l; |
| 136 | + collectLevels(example, l); |
| 137 | + printLevels(l); |
| 138 | + std::cout << std::endl; |
| 139 | +} |
| 140 | + |
| 141 | +void free(TreeNode* root) |
| 142 | +{ |
| 143 | + if(!root) return; |
| 144 | + |
| 145 | + for(TreeNode* c : root->nodes) |
| 146 | + free(c); |
| 147 | + |
| 148 | + delete root; |
| 149 | +} |
| 150 | + |
| 151 | +int main() |
| 152 | +{ |
| 153 | + TreeNode* example1 = create(3, |
| 154 | + { |
| 155 | + create(4, |
| 156 | + { |
| 157 | + create(1, { create(9), create(5), create(6) }), |
| 158 | + create(2, { create(2) }), |
| 159 | + create(8, { create(3), create(7) }) |
| 160 | + }), |
| 161 | + create(7, {create(6, {create(9), create(2)})}) |
| 162 | + } |
| 163 | + ); |
| 164 | + |
| 165 | + runExample(example1, {1, 2, 8, 6}); |
| 166 | + |
| 167 | + free(example1); |
| 168 | + |
| 169 | + TreeNode* example2 = create(1, |
| 170 | + { |
| 171 | + create(2, |
| 172 | + { |
| 173 | + create(2, {create(3), create(4)}), |
| 174 | + } |
| 175 | + ), |
| 176 | + create(2, |
| 177 | + { |
| 178 | + create(2, {create(5), create(6), create(7, { create(8) })}), |
| 179 | + } |
| 180 | + ) |
| 181 | + } |
| 182 | + ); |
| 183 | + |
| 184 | + runExample(example2, {2, 2}); |
| 185 | + free(example2); |
| 186 | +} |
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