POJ 1741(树分治)
树分治第一题
论文题:
树的点分治
// whn6325689
// Mr.Phoebe
// http://blog.csdn.net/u013007900
#include <algorithm>
#include <iostream>
#include <iomanip>
#include <cstring>
#include <climits>
#include <complex>
#include <fstream>
#include <cassert>
#include <cstdio>
#include <bitset>
#include <vector>
#include <deque>
#include <queue>
#include <stack>
#include <ctime>
#include <set>
#include <map>
#include <cmath>
#include <functional>
#include <numeric>
#pragma comment(linker, "/STACK:1024000000,1024000000")
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef complex<ld> point;
typedef pair<int, int> pii;
typedef pair<pii, int> piii;
typedef vector<int> vi;
#define CLR(x,y) memset(x,y,sizeof(x))
#define mp(x,y) make_pair(x,y)
#define pb(x) push_back(x)
#define lowbit(x) (x&(-x))
#define MID(x,y) (x+((y-x)>>1))
#define speed std::ios::sync_with_stdio(false);
#define eps 1e-9
#define PI acos(-1.0)
#define INF 0x3f3f3f3f
#define LLINF 1LL<<62
template<class T>
inline bool read(T &n)
{
T x = 0, tmp = 1;
char c = getchar();
while((c < '0' || c > '9') && c != '-' && c != EOF) c = getchar();
if(c == EOF) return false;
if(c == '-') c = getchar(), tmp = -1;
while(c >= '0' && c <= '9') x *= 10, x += (c - '0'),c = getchar();
n = x*tmp;
return true;
}
template <class T>
inline void write(T n)
{
if(n < 0)
{
putchar('-');
n = -n;
}
int len = 0,data[20];
while(n)
{
data[len++] = n%10;
n /= 10;
}
if(!len) data[len++] = 0;
while(len--) putchar(data[len]+48);
}
//-----------------------------------
const int MAXN=10010;
struct Edge
{
int v,nex,w;
} e[MAXN<<1];
int h[MAXN],tot;
int vis[MAXN],n,k;
int sz[MAXN],num[MAXN],dep[MAXN];
int root,N;
int st[MAXN],top,ans;
void init()
{
CLR(h,-1);CLR(vis,0);
root=0;num[0]=N=n;ans=0;tot=0;
}
void addedge(int u,int v,int w)
{
e[tot].v=v;
e[tot].w=w;
e[tot].nex=h[u];
h[u]=tot++;
}
int dfs_root(int u,int fa=-1)
{
sz[u]=1;num[u]=0;
for(int i=h[u];~i;i=e[i].nex)
{
int v=e[i].v;
if(fa==v || vis[v]) continue;
sz[u]+=dfs_root(v,u);
num[u]=max(num[u],sz[v]);
}
num[u]=max(num[u],N-sz[u]);
if(num[u]<num[root])
root=u;
return sz[u];
}
int dfs_dep(int u,int fa=-1)
{
if(dep[u]<=k) st[top++]=dep[u];
sz[u]=1;
for(int i=h[u];~i;i=e[i].nex)
{
int v=e[i].v;
if(fa==v || vis[v]) continue;
dep[v]=dep[u]+e[i].w;
sz[u]+=dfs_dep(v,u);;
}
return sz[u];
}
int get_num(int u,int len)
{
top=0;
dep[u]=len;
dfs_dep(u);
sort(st,st+top);
int ans=0,r=top-1;
for(int l=0;l<r;l++)
{
while(r>l && st[l]+st[r]>k)
r--;
ans+=r-l;
}
return ans;
}
void dfs(int u)
{
vis[u]=1;
ans+=get_num(u,0);
for(int i=h[u];~i;i=e[i].nex)
{
int v=e[i].v;
if(vis[v]) continue;
ans-=get_num(v,e[i].w);
root=0;N=sz[v];
dfs_root(v);
dfs(root);
}
}
int main()
{
while(read(n)&&read(k)&&(n+k))
{
init();
for(int i=1,u,v,w;i<n;i++)
{
read(u),read(v),read(w);
addedge(u,v,w);addedge(v,u,w);
}
dfs_root(1);
dfs(root);
write(ans),putchar('\n');
}
return 0;
}
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