1110. Complete Binary Tree (25)

本文介绍了一种通过输入节点信息来判断一棵树是否为完全二叉树的方法,并提供了完整的C++实现代码。输入包括节点数量及各节点的左右子节点信息,输出则是该树是否为完全二叉树及其最后一个节点的索引。

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1110. Complete Binary Tree (25)
时间限制 400 ms 内存限制 65536 kB 代码长度限制 16000 B
判题程序 Standard 作者 CHEN, Yue

Given a tree, you are supposed to tell if it is a complete binary tree.
Input Specification:
Each input file contains one test case. For each case, the first line gives a positive integer N (<=20) which is the total number of nodes in the tree – and hence the nodes are numbered from 0 to N-1. Then N lines follow, each corresponds to a node, and gives the indices of the left and right children of the node. If the child does not exist, a “-” will be put at the position. Any pair of children are separated by a space.
Output Specification:
For each case, print in one line “YES” and the index of the last node if the tree is a complete binary tree, or “NO” and the index of the root if not. There must be exactly one space separating the word and the number.
Sample Input 1:
9
7 8
- -
- -
- -
0 1
2 3
4 5
- -
- -
Sample Output 1:
YES 8
Sample Input 2:
8
- -
4 5
0 6
- -
2 3
- 7
- -
- -
Sample Output 2:
NO 1

借助stringstram来输入是非常方便的啦

#define _CRT_SECURE_NO_WARNINGS
#include <algorithm>
#include <iostream>
#include <string>
#include <sstream>
#include <queue>
#include <cstring>

using namespace std;
const int MaxN = 30;

typedef struct tnode {
    int lchild;
    int rchild;
}TNode;

TNode Tree[MaxN];int N;
bool isRoot[MaxN];

int CreateTree() {
    memset(Tree, -1, sizeof(TNode) * (N + 1));
    memset(isRoot, 1, N + 1);
    string line; stringstream ss; int cid;
    for (int i = 0; i < N; ++i) {
        getline(cin, line); 
        ss.clear(); ss.str("");
        ss << line;
        if (line[0] == '-') {
            ss.get();
            if (line[2] != '-') {
                ss >> cid;
                Tree[i].rchild = cid;
                isRoot[cid] = false;
            }
        }
        else {
            ss >> cid;
            Tree[i].lchild = cid;
            isRoot[cid] = false;

            int idx = 0;
            while (line[idx++] != ' ');
            if (line[idx] != '-') {
                ss >> cid;
                Tree[i].rchild = cid;
                isRoot[cid] = false;
            }
        }
    }

    int root = 0;
    while (!isRoot[root])++root;
    return root;

}

bool isCBT(int root,int & last) {
    queue<int>que; que.push(root);
    while (que.size()) {
        int node = que.front(); que.pop();
        if (node == -1)break;
        else last = node;
        que.push(Tree[node].lchild);
        que.push(Tree[node].rchild);
    }

    while (que.size()) {
        int node = que.front(); que.pop();
        if (node != -1)return false;
    }

    return true;
}


int main() {
#ifdef _DEBUG
    freopen("data.txt", "r+", stdin);
#endif // _DEBUG

    std::ios::sync_with_stdio(false);

    cin >> N; cin.get();
    int root = CreateTree(),last;
    bool CBTTree = isCBT(root, last);
    CBTTree ? (cout << "YES " << last) : (cout << "NO " << root);
    return 0;
}
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