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提供两种思路,具体见代码一:暴力+剪枝
#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
const int N = 3e+2 + 7;
int col[N], m, n;
bool solve()
{
for (int i = 1; i < 1 << m; ++i)
{
int j;
for (j = 0; j < n; ++j)
{
int value = i & col[j];
if (!value || (value & (value - 1)))
break;
}
if (j >= n)
return true;
}
return false;
}
int main()
{
while (~scanf("%d%d", &m, &n))
{
memset(col, 0, sizeof(int) * n);
for (int i = 0, tmp; i < m; ++i)
for (int j = 0; j < n; ++j)
if (scanf("%d", &tmp) && tmp)
col[j] |= 1 << i;
bool ans = false;
if (find(col, col + n, 0) == col + n)
ans = solve();
printf("%s\n", ans ? "Yes, I found it" : "It is impossible");
}
return 0;
}
二.dfs + 剪枝
#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
const int N = 3e+2 + 7;
int col[N], m, n;
bool check(int have)
{
for (int i = 0; i < n; ++i)
{
int value = have & col[i];
if (value & (value - 1))
return false;
}
return true;
}
bool dfs(int dep, int have)
{
if (dep >= n)
return true;
int value = have & col[dep];
if (value)
return dfs(dep + 1, have);
for (int i = 0; i < m; ++i)
if ((col[dep] & (1 << i)) && check(have | (1 << i)) && dfs(dep + 1, have | (1 << i)))
return true;
return false;
}
int main()
{
while (~scanf("%d%d", &m, &n))
{
memset(col, 0, sizeof(int) * n);
for (int i = 0, tmp; i < m; ++i)
for (int j = 0; j < n; ++j)
if (scanf("%d", &tmp) && tmp)
col[j] |= 1 << i;
bool ans = false;
if (find(col, col + n, 0) == col + n)
ans = dfs(0, 0);
printf("%s\n", ans ? "Yes, I found it" : "It is impossible");
}
return 0;
}
以上只是个人思路,仅供参考。。。高手勿喷。。。
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