UVA 10981 - String Morphing(记忆化搜索)
时间:2014-07-22 23:03:54
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题目链接:10981 - String Morphing
题意:给定开始的字符串,要求根据表格变化成一个字符串,问变化的顺序(注意,不一定要最少步数)
思路:记忆化搜索,用map来存字符串的状态,一开始按最少步数去做TLE,其实只要找到一个符合的就可以了
代码:
#include <stdio.h>
#include <iostream>
#include <string.h>
#include <string>
#include <map>
using namespace std;
#define min(a,b) ((a)<(b)?(a):(b))
#define INF 0x3f3f3f3f
const int N = 105;
int t;
string start, end;
char g[105][105];
map<string, int> dp;
map<string, string> z;
int dfs(string start) {
if (dp.count(start)) return dp[start];
dp[start] = 0;
if (start == end) return dp[start] = 1;
for (int i = 0; i < start.size() - 1; i++) {
string tmp = "";
tmp += g[start[i]][start[i + 1]];
string s = start;
if (dfs(s.replace(i, 2, tmp))) {
z[start] = s;
return dp[start] = 1;
}
}
return dp[start];
}
void print(string start) {
cout << start << endl;
if (start == end) return;
print(z[start]);
}
int main() {
g[‘a‘][‘a‘] = g[‘a‘][‘b‘] = g[‘b‘][‘b‘] = ‘b‘;
g[‘a‘][‘c‘] = g[‘b‘][‘c‘] = g[‘c‘][‘a‘] = ‘a‘;
g[‘b‘][‘a‘] = g[‘c‘][‘b‘] = g[‘c‘][‘c‘] = ‘c‘;
scanf("%d", &t);
while (t--) {
z.clear();
dp.clear();
cin >> start >> end;
if (start.size() < end.size()) {
printf("None exist!\n");
continue;
}
if (dfs(start)) print(start);
else printf("None exist!\n");
if (t) printf("\n");
}
return 0;
}
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