UVA - 11027 Palindromic Permutation


题意:觉得这里讲的不错 点击打开链接  ,详细看代码

#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cstring>
using namespace std;
const int MAXN = 35;

char str[MAXN],result[MAXN],cword;
int vis[130],word[MAXN],cnt;
long long n,F[MAXN],len;
long long count(){
    long long sum = 0,ans;
    for (int i = 0; i < cnt; i++)
        sum += vis[word[i]];
    ans = F[sum];
    for (int i = 0; i < cnt; i++)
        if (vis[word[i]] > 1)
            ans /= F[vis[word[i]]];
    return ans;
}

int dfs(int cur,long long num){
    if (cur == len)
        return num;
    long long sum = 0;
    for (int i = 0; i < cnt; i++){
        if (vis[word[i]]){   //尝试将最小的排在最外面
            vis[word[i]]--;   
            long long s = count();  //剩下的会产生多少可能
            if (sum <= num && sum+s >= num){   //结果一定要在这两个数之间
                result[cur] = word[i];
                return dfs(cur+1,num-sum); 
            }
            else sum += s;  //跳过当前的字典序,在加一个大的
            vis[word[i]]++;
        }
    }
    return -1;
}

int main(){
    F[0] = F[1] = 1;
    for (int i = 2; i < 16; i++)
        F[i] = i * F[i-1];
    int t,cas=1;
    scanf("%d",&t);
    while (t--){
        scanf("%s%lld",str,&n);
        int ok = 2;
        len = strlen(str);
        cnt = 0;
        memset(vis,0,sizeof(vis));
        for (int i = 0; i < len; i++){
            if (!vis[str[i]])
                word[cnt++] = str[i];
            vis[str[i]]++;   //记录单词出现的次数
        }
        cword = 0;
        sort(word,word+cnt);
        for (int i = 0; i < cnt; i++){
            if (vis[word[i]] % 2){  //奇数次的只能有一个
                ok--;
                vis[word[i]]--;
                cword = word[i];
            }
        }
        if (cnt == 1 && n > 1)
            ok = 0;
        if (ok > 0){
            len /= 2;
            for (int i = 0; i < cnt; i++)
                vis[word[i]] /= 2;
            ok = dfs(0,n);
            if (ok > 0){
                int t = len;
                if (cword)
                    result[t++] = cword;
                for (int i = 0; i < len; i++)
                    result[t++] = result[len-i-1];
                result[t] = '\0';
            }
        }
        printf("Case %d: %s\n",cas++,ok>0?result:"XXX");
    }
    return 0;
}


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