PAT 甲级 1130 Infix Expression

https://pintia.cn/problem-sets/994805342720868352/problems/994805347921805312

Given a syntax tree (binary), you are supposed to output the corresponding infix expression, with parentheses reflecting the precedences of the operators.

Input Specification:

Each input file contains one test case. For each case, the first line gives a positive integer N ( $\leq 20) which is the total number of nodes in the syntax tree. Then N lines follow, each gives the information of a node (the$

data left_child right_child

where data is a string of no more than 10 characters, left_child and right_child are the indices of this node's left and right children, respectively. The nodes are indexed from 1 to N. The NULL link is represented by $-. The figures 1 and 2 correspond to the samples 1 and 2, respectively.$


Figure 1	Figure 2

Figure 1

Figure 2

Output Specification:

For each case, print in a line the infix expression, with parentheses reflecting the precedences of the operators. Note that there must be no extra parentheses for the final expression, as is shown by the samples. There must be no space between any symbols.

Sample Input 1:

8
* 8 7
a -1 -1
* 4 1
+ 2 5
b -1 -1
d -1 -1
- -1 6
c -1 -1

Sample Output 1:

(a+b)*(c*(-d))

Sample Input 2:

8
2.35 -1 -1
* 6 1
- -1 4
% 7 8
+ 2 3
a -1 -1
str -1 -1
871 -1 -1

Sample Output 2:

(a*2.35)+(-(str%871))

代码：

#include <bits/stdc++.h>
using namespace std;

int N;
int vis[30];

struct Node{
    string val;
    int L, R;
}node[30];

string dfs(int st) {
    if(node[st].L == -1 && node[st].R == -1) return node[st].val;
    if(node[st].L == -1 && node[st].R != -1) return "(" + node[st].val + dfs(node[st].R) + ")";
    if(node[st].L != -1 && node[st].R != -1) return "(" + dfs(node[st].L) + node[st].val + dfs(node[st].R) + ")";
}

int main() {
    scanf("%d", &N);
    for(int i = 1; i <= N; i ++) {
        cin >> node[i].val >> node[i].L >> node[i].R;
        if(node[i].L != -1) vis[node[i].L] = 1;
        if(node[i].R != -1) vis[node[i].R] = 1;
    }

    int root = 1;
    while(vis[root] == 1) root ++;
    string ans = dfs(root);
    if(ans[0] == '(') ans = ans.substr(1, ans.size() - 2);
    cout << ans;
    return 0;
}

　　dfs 递归最后去掉最外面的括号

可能最近是自闭 girl 了希望有好运气叭

来源：https://www.cnblogs.com/zlrrrr/p/10417606.html

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