*[topcoder]TheTree - 阿牧遥 - 博客园


*[topcoder]TheTree - 阿牧遥 - 博客园
    Manao is working in the Tree Research Center. It may come as a surprise that the trees they research are not the ones you can see in a park. Instead, they are researching special graphs. (See Notes for definitions of terms related to these trees.)



Manao's daily job is reconstructing trees, given some partial information about them. Today Manao faced a difficult task. He needed to find the maximum possible diameter of a tree, given the following information:
  • Some vertex in the tree is called V.
  • The distance between V and the farthest vertex from V is D.
  • For each x between 1 and D, inclusive, Manao knows the number of vertices such that their distance from V is x.
You are given a int[] cnt containing D strictly positive integers. For each i, the i-th element of cnt is equal to the number of vertices which have distance i+1 from V. Please help Manao with his task. Return the maximum possible diameter of a tree that matches the given information.
这道题有意思。给了树的根和每层节点的个数,求树的直径。做法是如果该层有两个节点,那么可能是有上有下,直径加二;如果该层只有一个节点,那么从这层开始,往下都只能加一。同时,该直径不一定经过根。
https://github.com/phungleson/topcoder/blob/master/src/main/java/phungleson/topcoder/srm591/TheTree.java


int
 TheTree::maximumDiameter(vector <int> cnt) {
    int D = cnt.size();
    int ans = 0;
    for (int i = 0; i < D; i++) {
        int res = 0;
        int flag = false;
        for (int j = i; j < D; j++) {
            if (cnt[j] == 1)
                flag = true;
            res += (flag ? 1 : 2);
            ans = max(res, ans);
        }
    }
    return ans;
};
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