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  • POJ 3740 Easy Finding DLX

    题意:给你一个0,1矩阵 ,求精确覆盖

    解题思路:

    DLX

    解题代码:

      1 // File Name: poj3740.cpp
      2 // Author: darkdream
      3 // Created Time: 2014年10月04日 星期六 20时06分31秒
      4 
      5 #include<vector>
      6 #include<list>
      7 #include<map>
      8 #include<set>
      9 #include<deque>
     10 #include<stack>
     11 #include<bitset>
     12 #include<algorithm>
     13 #include<functional>
     14 #include<numeric>
     15 #include<utility>
     16 #include<sstream>
     17 #include<iostream>
     18 #include<iomanip>
     19 #include<cstdio>
     20 #include<cmath>
     21 #include<cstdlib>
     22 #include<cstring>
     23 #include<ctime>
     24 #define LL long long
     25 
     26 using namespace std;
     27 const int maxnode = 50000;
     28 const int MaxN = 18;
     29 const int MaxM = 400;
     30 struct DLX
     31 {
     32     int n , m , size;
     33     int U[maxnode],D[maxnode],L[maxnode],R[maxnode],Row[maxnode],Col[maxnode];
     34     int H[MaxN],S[MaxM];
     35     void init(int _n,int _m)
     36     {
     37        n = _n;
     38        m = _m;
     39        for(int i = 0 ;i <= m;i ++)
     40        {
     41            S[i] = 0 ; 
     42            U[i] = i ; 
     43            D[i] = i ; 
     44            L[i] = i-1;
     45            R[i] = i+1;
     46        }
     47        size = m ; 
     48        L[0] = m; 
     49        R[m] = 0 ;
     50        memset(H,-1,sizeof(H));
     51     }
     52     void Link(int r, int c)
     53     {
     54         ++S[Col[++size] = c];
     55         Row[size] = r; 
     56         D[size] = D[c];
     57         U[D[c]] = size;
     58         U[size] = c; 
     59         D[c] = size ;
     60         if(H[r] < 0)  H[r] = L[size] = R[size] = size;
     61         else{
     62           R[size] = R[H[r]];
     63           L[R[H[r]]] = size;
     64           L[size] = H[r];
     65           R[H[r]] = size;
     66         }
     67     }
     68     void remove(int c)
     69     {
     70       L[R[c]] = L[c];
     71       R[L[c]] = R[c];
     72       for(int i = D[c]; i != c ;i = D[i])
     73           for(int j = R[i]; j != i ;j = R[j])
     74           {
     75                U[D[j]] = U[j];
     76                D[U[j]] = D[j];
     77                --S[Col[j]];
     78           }
     79     }
     80     void resume(int c)
     81     {
     82        L[R[c]] = c; 
     83        R[L[c]] = c; 
     84        for(int i = D[c];i != c;i = D[i])
     85            for(int j = R[i]; j != i ;j = R[j])
     86            {
     87               U[D[j]] = j ; 
     88               D[U[j]] = j; 
     89               ++ S[Col[j]];
     90            }
     91     }
     92     bool Dance()
     93     {
     94        if(R[0] == 0 )
     95        {
     96          return true;
     97        }
     98        int c = R[0];
     99        for(int i = R[c];i != 0 ;i = R[i])
    100            if(S[i] < S[c])
    101                c = i ; 
    102        remove(c);
    103        for(int i = D[c];i != c;i = D[i])
    104        {
    105            for(int j = R[i];j != i ;j = R[j]) remove(Col[j]);
    106            if(Dance()) return true;
    107            for(int j = R[i];j != i; j = R[j]) resume(Col[j]);
    108        }
    109        resume(c);
    110        return false;
    111     }
    112 };
    113 
    114 DLX g; 
    115 int main(){
    116     int n , m ; 
    117     while(scanf("%d %d",&n,&m) != EOF)
    118     {
    119        g.init(n,m);
    120        int t ;
    121        for(int i = 1;i <= n;i ++)
    122            for(int j = 1;j <= m;j ++)
    123            {
    124               scanf("%d",&t);
    125               if(t)
    126                 g.Link(i,j);
    127            }
    128        if(g.Dance()) 
    129            printf("Yes, I found it
    ");
    130        else printf("It is impossible
    ");
    131     }
    132 return 0;
    133 }
    View Code
    没有梦想,何谈远方
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  • 原文地址:https://www.cnblogs.com/zyue/p/4006346.html
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