USACO Hamming Codes DFS 构造

我还是用了很朴素的暴力匹配A了这题,不得不感叹USACO时间放的好宽...

/*
ID: wushuai2
PROG: hamming
LANG: C++
*/
//#pragma comment(linker, "/STACK:16777216") //for c++ Compiler
#include <stdio.h>
#include <iostream>
#include <fstream>
#include <cstring>
#include <cmath>
#include <stack>
#include <string>
#include <map>
#include <set>
#include <list>
#include <queue>
#include <vector>
#include <algorithm>
#define Max(a,b) (((a) > (b)) ? (a) : (b))
#define Min(a,b) (((a) < (b)) ? (a) : (b))
#define Abs(x) (((x) > 0) ? (x) : (-(x)))
#define MOD 1000000007
#define pi acos(-1.0) using namespace std; typedef long long ll ;
typedef unsigned long long ull ;
typedef unsigned int uint ;
typedef unsigned char uchar ; template<class T> inline void checkmin(T &a,T b){if(a>b) a=b;}
template<class T> inline void checkmax(T &a,T b){if(a<b) a=b;} const double eps = 1e- ;
const int M = ;
const ll P = 10000000097ll ;
const int INF = 0x3f3f3f3f ;
const int MAX_N = ;
const int MAXSIZE = ; int n, b, d;
int ans[]; bool func(int b){
int i, j, cnt;
int t1[], t2[];
memset(t2, , sizeof(t2));
while(b){
t2[++t2[]] = b % ;
b = (b - b % ) / ;
}
for(int k = ; k <= ans[]; ++k){
cnt = ;
int a = ans[k];
memset(t1, , sizeof(t1));
while(a){
t1[++t1[]] = a % ;
a = (a - a % ) / ;
}
for(i = ; i <= Max(t1[], t2[]); ++i){
if(t1[i] != t2[i]) ++cnt;
}
if(cnt < d) return false;
}
return true;
} int main() {
ofstream fout ("hamming.out");
ifstream fin ("hamming.in");
int i, j, k, t, n, s, c, w, q;
fin >> n >> b >> d;
++ans[];
ans[] = ;
int num = ;
while(ans[] <= n){
if(func(num)){
++ans[];
ans[ans[]] = num;
}
++num;
}
for(i = ; i < ans[]; ++i){
fout << ans[i];
if(i == ans[] - ){
break;
}
if(i % == ) fout << endl;
else fout << ' ';
}
fout << endl; fin.close();
fout.close();
return ;
}

不过看了官方题解觉得很不错,来分享一下

for (a = 0; a < maxval; a++)
for (b = 0; b < maxval; b++) {
dist[a][b] = 0;
for (c = 0; c < B; c++)
if (((1 << c) & a) != ((1 << c) & b))
dist[a][b]++;
}

通过以上这段代码可以找到所有1 << B 中所有数的关系,就是二进制下不同的位数

然后通过一个DFS 来找可行对

void findgroups(int cur, int start) {
int a, b, canuse;
char ch;
if (cur == N) {
for (a = 0; a < cur; a++) {
if (a % 10)
fprintf(out, " ");
fprintf(out, "%d", nums[a]);
if (a % 10 == 9 || a == cur-1)
fprintf(out, "\n");
}
exit(0);
}
for (a = start; a < maxval; a++) {
canuse = 1;
for (b = 0; b < cur; b++)
if (dist[nums[b]][a] < D) {
canuse = 0;
break;
}
if (canuse) {
nums[cur] = a;
findgroups(cur+1, a+1);
}
}
}

不难得出,核心代码很短也很好写

找到全部N个数之后输出一下就可以了

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