題目傳送門:http://acm.hdu.edu.cn/showproblem.php?pid=1015
題目大意:讀取一個數字和一串字符串.每個大寫字母代表一個值.判斷是否存在五個大寫字母使表達式成立:v - w^2 + x^3 - y^4 + z^5 = target .如果存在.則輸出字典序最大的五個大寫字母.否則打印no solution.
最簡單的dfs即可.
AC代碼:
#include <iostream>
#include <set>
#include <map>
#include <queue>
#include <string>
#include <vector>
#include <math.h>
#include <functional>
#include <algorithm>
using namespace std;
#define Size 12
typedef long long ll;
string str;
ll n;
int visit[Size];
char world[Size];
string res;
int UpCharConvertInt(char a)
{
return int(a) - 64;
}
void UpCharConvertString()
{
for (int i = 0; i < 5; ++i)
{
res += world[i];
}
}
ll get()
{
ll a = UpCharConvertInt(world[0]);
ll b = UpCharConvertInt(world[1]);
ll c = UpCharConvertInt(world[2]);
ll d = UpCharConvertInt(world[3]);
ll e = UpCharConvertInt(world[4]);
return a - pow(b,2) + pow(c,3) - pow(d,4) + pow(e,5);
}
bool flag = false;
//cnt表示已經確定的個數.
void dfs(int cnt)
{
//如果已經確定了5個數.則進行判斷.
if (cnt == 5)
{
if (get() == n)
{
UpCharConvertString();
flag = true;
}
return;
}
//枚舉各種情況.
for (int i = 0; i < str.size(); ++i)
{
if (visit[i] == 0)
{
visit[i] = 1;
world[cnt] = str[i];
dfs(cnt + 1);
//由於只需要打印最大的.所以一旦標識符被修改.則立馬退出搜索.就好像一層層的退出搜索.
if (flag)
return;
visit[i] = 0;
}
}
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
while (1)
{
cin >> n >> str;
if (n == 0 && str == "END")
break;
memset(visit,0,sizeof(visit));
res.clear();
flag = false;
//先降序排列.
sort(str.begin(), str.end(),greater<char>());
dfs(0);
if (res.empty())
cout << "no solution" << endl;
else
cout << res << endl;
}
return 0;
}