Apparently BFS is the most obvious one.. but it is not that simple - only constant extra space is provided.
Then the only strategy to take is recursion. I bogged down for quite while.. only after checked http://leetcode.com/2010/03/first-on-site-technical-interview.html, I got enlightment: pick a pen and a piece of paper, and simulate the procedure by drawing - this strategy is working so well on diagram-like problems! Just like "starting from enumeration and check pattern" strategy, a good solution starts from basics.
class Solution { public: void connect(TreeLinkNode *p) { if (!p) return; if (p->left) p->left->next = p->right; // with the same parent if (p->right) p->right->next = (p->next) ? p->next->left : NULL; connect(p->left); connect(p->right); } };