• [hdu3484]枚举


    题意:给两个个01矩阵,有两种操作,(1)交换两列(2)反转某一行。求能否通过若干操作使两矩阵相等

    思路:(把所有对B的操作放到A上来,这一定是可以做到一样的效果的)枚举B矩阵的第一列对应A矩阵的第几列,交换这两列,那么根据两个矩阵这一列的相等情况可以确定每一行的操作情况(操作次数实际上只有0和1两种情况),然后根据这个情况确定执行了所有行操作的A矩阵,然后从第二列开始到第m列,依次用A矩阵的某一列(这个也是枚举)去“匹配”B矩阵的当前列,匹配好了那么继续后面的匹配(任何一个可以匹配当前列的列他们是没有区别的,任取一个,所以我们取第一次出现的那一个)。这样操作直到完全匹配好。详见代码:

      1 #pragma comment(linker, "/STACK:10240000,10240000")
      2 
      3 #include <iostream>
      4 #include <cstdio>
      5 #include <algorithm>
      6 #include <cstdlib>
      7 #include <cstring>
      8 #include <map>
      9 #include <queue>
     10 #include <deque>
     11 #include <cmath>
     12 #include <vector>
     13 #include <ctime>
     14 #include <cctype>
     15 #include <set>
     16 #include <bitset>
     17 #include <functional>
     18 #include <numeric>
     19 #include <stdexcept>
     20 #include <utility>
     21 
     22 using namespace std;
     23 
     24 #define mem0(a) memset(a, 0, sizeof(a))
     25 #define lson l, m, rt << 1
     26 #define rson m + 1, r, rt << 1 | 1
     27 #define define_m int m = (l + r) >> 1
     28 #define rep_up0(a, b) for (int a = 0; a < (b); a++)
     29 #define rep_up1(a, b) for (int a = 1; a <= (b); a++)
     30 #define rep_down0(a, b) for (int a = b - 1; a >= 0; a--)
     31 #define rep_down1(a, b) for (int a = b; a > 0; a--)
     32 #define all(a) (a).begin(), (a).end()
     33 #define lowbit(x) ((x) & (-(x)))
     34 #define constructInt4(name, a, b, c, d) name(int a = 0, int b = 0, int c = 0, int d = 0): a(a), b(b), c(c), d(d) {}
     35 #define constructInt3(name, a, b, c) name(int a = 0, int b = 0, int c = 0): a(a), b(b), c(c) {}
     36 #define constructInt2(name, a, b) name(int a = 0, int b = 0): a(a), b(b) {}
     37 #define pchr(a) putchar(a)
     38 #define pstr(a) printf("%s", a)
     39 #define sstr(a) scanf("%s", a);
     40 #define sint(a) ReadInt(a)
     41 #define sint2(a, b) ReadInt(a);ReadInt(b)
     42 #define sint3(a, b, c) ReadInt(a);ReadInt(b);ReadInt(c)
     43 #define pint(a) WriteInt(a)
     44 #define if_else(a, b, c) if (a) { b; } else { c; }
     45 #define if_than(a, b) if (a) { b; }
     46 #define test_print1(a) cout << "var1 = " << a << endl
     47 #define test_print2(a, b) cout << "var1 = " << a << ", var2 = " << b << endl
     48 #define test_print3(a, b, c) cout << "var1 = " << a << ", var2 = b" << ", var3 = " << c << endl
     49 
     50 typedef double db;
     51 typedef long long LL;
     52 typedef pair<int, int> pii;
     53 typedef multiset<int> msi;
     54 typedef set<int> si;
     55 typedef vector<int> vi;
     56 typedef map<int, int> mii;
     57 
     58 const int dx[8] = {0, 0, -1, 1};
     59 const int dy[8] = {-1, 1, 0, 0};
     60 const int maxn = 1e2 + 7;
     61 const int maxm = 1e3 + 7;
     62 const int maxv = 1e7 + 7;
     63 const int max_val = 1e6 + 7;
     64 const int MD = 22;
     65 const int INF = 1e9 + 7;
     66 const double pi = acos(-1.0);
     67 const double eps = 1e-10;
     68 
     69 template<class T>T gcd(T a, T b){return b==0?a:gcd(b,a%b);}
     70 template<class T>void ReadInt(T &x){char c=getchar();while(!isdigit(c))c=getchar();x=0;while(isdigit(c)){x=x*10+c-'0';c=getchar();}}
     71 template<class T>void WriteInt(T i) {int p=0;static int b[20];if(i == 0) b[p++] = 0;else while(i){b[p++]=i%10;i/=10;}for(int j=p-1;j>=0;j--)pchr('0'+b[j]);}
     72 template<class T>bool max_update(T &a,const T &b){if(b>a){a = b; return true;}return false;}
     73 template<class T>bool min_update(T &a,const T &b){if(b<a){a = b; return true;}return false;}
     74 template<class T>T condition(bool f, T a, T b){return f?a:b;}
     75 template<class T>void copy_arr(T a[], T b[], int n){rep_up0(i,n)a[i]=b[i];}
     76 int make_id(int x, int y, int n) { return x * n + y; }
     77 
     78 int n, m;
     79 int a[maxn][maxn], b[maxn][maxn], buf[maxn][maxn];
     80 
     81 int swap_col(int y1, int y2) {
     82     rep_up0(i, n) {
     83         swap(a[i][y1], a[i][y2]);
     84     }
     85 }
     86 
     87 int equal_col(int y1, int y2) {
     88     rep_up0(i, n) {
     89         if (a[i][y1] != b[i][y2]) return false;
     90     }
     91     return true;
     92 }
     93 
     94 int copy_rec() {
     95     rep_up0(i, n) {
     96         rep_up0(j, m) {
     97             a[i][j] = buf[i][j];
     98         }
     99     }
    100 }
    101 int copy_rec2() {
    102     rep_up0(i, n) {
    103         rep_up0(j, m) {
    104             buf[i][j] = a[i][j];
    105         }
    106     }
    107 }
    108 
    109 int main() {
    110     //freopen("in.txt", "r", stdin);
    111     //freopen("out.txt", "w", stdout);
    112     while (cin >> n >> m, n >= 0 || m >= 0) {
    113         rep_up0(i, n) {
    114             rep_up0(j, m) {
    115                 sint(a[i][j]);
    116             }
    117         }
    118         rep_up0(i, n) {
    119             rep_up0(j, m) {
    120                 sint(b[i][j]);
    121             }
    122         }
    123         int ok = 0;
    124         copy_rec2();
    125         rep_up0(i, m) {
    126             copy_rec();
    127             swap_col(0, i);
    128             copy_rec2();
    129             int flag[100];
    130             rep_up0(j, n) {
    131                 flag[j] = a[j][0] != b[j][0];
    132             }
    133             rep_up0(j, n) {
    134                 for (int k = 1; k < m; k++) {
    135                     a[j][k] ^= flag[j];
    136                 }
    137             }
    138             int yes = 1;
    139             for (int j = 1; j < m; j++) {
    140                 int ok0 = 0;
    141                 for (int k = j; k < m; k++) {
    142                     if (equal_col(k, j)) {
    143                         swap_col(k, j);
    144                         ok0 = 1;
    145                         break;
    146                     }
    147                 }
    148                 if (!ok0) {
    149                     yes = 0;
    150                     break;
    151                 }
    152             }
    153             if (yes) {
    154                 ok = 1;
    155                 break;
    156             }
    157         }
    158         puts(ok? "Yes" : "No");
    159     }
    160     return 0;
    161 }
    View Code
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  • 原文地址:https://www.cnblogs.com/jklongint/p/4430600.html
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