http://poj.org/problem?id=3659

树状DP,树的最小点覆盖

 #include <stdio.h>
#include <vector>
#define N 10010 using namespace std; vector<int> a[N];
int mark[N], dp[N][];
const int inf = ; int min(int x, int y)
{
return x<y? x: y;
} int limit_inf(int x)
{
return x>inf? inf: x;
} int f(int x, vector<int> b)
{
int i, j, k, sum1, min1; //leaf
if(b.size() == )
{
dp[x][] = ;
dp[x][] = inf;
dp[x][] = ;
return ;
} //
sum1 = ;
for(i=; i<b.size(); i++)
{
sum1 += dp[b[i]][];
}
dp[x][] = limit_inf(sum1); //
min1 = inf;
for(i=; i<b.size(); i++)
{
sum1 = dp[b[i]][];
for(j=; j<b.size(); j++)
{
if(j != i)
{
sum1 += min(dp[b[j]][], dp[b[j]][]);
}
}
min1 = min(min1, sum1);
}
dp[x][] = limit_inf(min1); //
sum1 = ;
for(i=; i<b.size(); i++)
{
sum1 += min(dp[b[i]][], min(dp[b[i]][], dp[b[i]][]));
}
sum1 += ;
dp[x][] = limit_inf(sum1);
return ;
} int dfs(int x)
{
int i, j;
vector<int> b;
b.clear();
//printf("(%d: ", x);
for(i=; i<a[x].size(); i++)
{
j = a[x][i];
if(mark[j] == )
{
b.push_back(j);
mark[j] = ;
dfs(j);
}
}
f(x, b);
//printf("[%d,%d,%d]", dp[x][0], dp[x][1], dp[x][2]);
//printf(" ) ");
return ;
} int main()
{
int n, i, x, y;
while(~scanf("%d", &n))
{
for(i=; i<=n; i++)
{
//dp[i][0] = dp[i][1] = dp[1][2] = inf;
mark[i] = ;
a[i].clear();
}
for(i=; i<=n-; i++)
{
scanf("%d%d", &x, &y);
a[x].push_back(y);
a[y].push_back(x);
}
mark[] = ;
dfs();
printf("%d\n", min(dp[][], dp[][]));
if(dp[][] == inf)
{
dp[][] = -;
}
//printf("\n");
//for(i=1; i<=n; i++)
//{
// printf("%5d %5d %5d\n", dp[i][0], dp[i][1], dp[i][2]);
//}
}
return ;
}

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