// UVa712 S-Trees
// Rujia Liu
// 题意:给一棵满二叉树,每一层代表一个01变量,取0时往左走,取1时往右走。给出所有叶子的值,以及一些查询(即每个变量的值),求最后到达的叶子的值
// 算法:结点从上到下编号为1, 2, 3, ...则左走就是乘以2,右走是乘以2加1。第一个叶子的编号是2^n
#include<iostream>
#include<string>
using namespace std;

const int maxn = 10;
int n, v[maxn];//映射表
string leaves;

int solve(const string& q) {
int u = 1;
for(int i = 0; i < n; i++) {
if(q[v[i]] == '0') u *= 2; else u = u*2+1;
}
return leaves[u-(1<<n)] - '0';
}

int main() {
int kase = 0;
while(cin >> n && n) {
string s;
cout << "S-Tree #" << ++kase << ":\n";
for(int i = 0; i < n; i++) { cin >> s; v[i] = s[1] - '1'; }
int m;
cin >> leaves >> m;
while(m--) {
string q;
cin >> q;
cout << solve(q);
}
cout << "\n\n";
}
return 0;
}


我的解答:


#include<cstdio>
#include<cstring>
#include<iostream>
#include<string>
#include<algorithm>
using namespace std;
//0 left, 1 right

const int N=10;
char leaves[1<<N];
//顺序映射表
int order[N];
int n;

void solve(char* buf)
{
//最终叶节点的编号(从1开始)
int j=1;
for(int i=0;i<n;i++)
{
if(buf[order[i]]=='0')
j*=2;
else
j=j*2+1;
}
printf("%c", leaves[j-(1<<n)]);
}

void getorder(char* s)
{
for(int i=0;i<n;i++)
{
order[i]=s[1+3*i]-'1';
}
}

int main()
{
//freopen("./uva712.in", "r", stdin);
char buf[N*3+1];
int cnt=0;
while(scanf("%d", &n)==1 && n)
{
printf("S-Tree #%d:\n", ++cnt);
gets(buf);//read line

gets(buf);//x1 x2 ...
getorder(buf);

gets(leaves);
int m;
scanf("%d", &m); gets(buf);//read line
for(int i=0;i<m;i++)
{
gets(buf);
solve(buf);
}
printf("\n\n");
}


return 0;
}