"Comtop Inverse expansion" hdu2062subset sequence

Source: Internet
Author: User

Title Link: http://acm.hdu.edu.cn/showproblem.php?pid=2062

Problem Descriptionconsider the aggregate an= {1, 2, ..., n}. For example, A1={1}, a3={1,2,3}. A subset sequence is defined as a array of a non-empty subset. Sort all the subset Sequece of a in lexicography order. Your task is to find the m-th one.

Inputthe input contains several test cases. Each test case consists of a numbers n and m (0< n<=, 0< m<= The total number of the subset sequence of AN).
Outputfor Each test case, you should output the m-th subset sequence of a in one line.
Sample Input
1 12 12 22 32 43 10

Sample Output
111 222 12) 3 1

We can use vector to realize the inverse expansion of Kang extension;

Code:

#include <iostream> #include <cstring> #include <cstdio> #include <algorithm> #include < Vector> #define LL Long longusing namespace Std;int ans[30];int len=0;    LL fac[23];/* The inverse expansion has acvoid Cantor (int n,ll m) {int n=n;    int i,j,vis[23]={0};        while (n--&&m) {LL t=m/fac[n+1];        if (m%fac[n+1]) t+=1;        LL k=t;                for (i=1;i<=n;i++) {if (!vis[i]) {k--;            if (k==0) break;        }} vis[i]=1;        Ans[len++]=i;    m-= ((t-1) *fac[n+1]+1);    }}*///Cantor (int n,ll m) {vector<int>q;) with vector implementation    for (int i=1;i<=20;i++) {q.push_back (i);        } while (n--&&m) {LL t=m/fac[n+1];        if (m%fac[n+1]) t+=1;        ANS[LEN++]=Q[T-1];        Q.erase (Q.begin () +t-1);    m-= ((t-1) *fac[n+1]+1);    }}void f () {fac[0]=0;       Fac[1]=1;    Note the data type;    for (int i=2;i<=21;i++) {fac[i]=fac[i-1]* (i-1) +1;    }}int Main () {f (); LL N,m;    Freopen ("In.txt", "R", stdin);    Freopen ("OUT.txt", "w", stdout);    Cin.sync_with_stdio (FALSE);        while (cin>>n>>m) {len=0;        Cantor (N,M);            for (int i=0;i<len;i++) {if (i<len-1) cout<<ans[i]<< ";        else cout<<ans[i]<<endl; }} return 0;}


"Comtop Inverse expansion" hdu2062subset sequence

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