Path Sum II
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Given a binary tree and a sum, find all root-to-leaf paths where each path's sum equals the given sum.
For example:
Given the below binary tree and sum = 22
,
5 / \ 4 8 / / \ 11 13 4 / \ / \ 7 2 5 1
return
[ [5,4,11,2], [5,8,4,5] ]
就是递归回溯法的应用。2到3星难度。
如下程序:
vector<vector<int> > pathSum(TreeNode *root, int sum) { vector<vector<int> > rs; vector<int> tmp; storeSums(rs, tmp, root, sum); return rs; } void storeSums(vector<vector<int> > &rs, vector<int> &tmp, TreeNode *r, int sum) { if (!r) return; tmp.push_back(r->val); storeSums(rs, tmp, r->left, sum - r->val); storeSums(rs, tmp, r->right, sum - r->val); if (!r->left && !r->right && r->val == sum) rs.push_back(tmp); tmp.pop_back(); }
下面这样写法可以说是很多递归回溯程序的标准形式了:
//2014-2-17 update vector<vector<int> > pathSum(TreeNode *root, int sum) { vector<vector<int> > rs; vector<int> tmp; path(rs, tmp, root, sum); return rs; } void path(vector<vector<int> > &rs, vector<int> &tmp, TreeNode *r, int sum) { if (!r) return; if (!r->left && !r->right) { if (r->val == sum) { rs.push_back(tmp); rs.back().push_back(sum); } return; } tmp.push_back(r->val); path(rs, tmp, r->left, sum - r->val); path(rs, tmp, r->right, sum - r->val); tmp.pop_back(); }