Codeforces Round #382 (Div. 2) E. Ostap and Tree
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树DP 初始化有个小技巧
#include <cstdio>#include <vector>#include <cstring>#include <algorithm>using namespace std;typedef long long ll;typedef unsigned int uii;const ll mod=1e9+7;int n,k,u,v;ll dp[105][45],f[45];bool vis[105];vector<int> vec[105];void dfs(int u) { vis[u]=true; dp[u][0]=dp[u][k+1]=1; for (uii t=0;t<vec[u].size();++t) { int v=vec[u][t]; if (vis[v]) continue; dfs(v); memset(f,0,sizeof f); for (int i=0;i<=2*k;++i) for (int j=0;j<=2*k;++j) if (i+j<=2*k) f[min(i,j+1)]=(f[min(i,j+1)]+dp[u][i]*dp[v][j])%mod; else f[max(i,j+1)]=(f[max(i,j+1)]+dp[u][i]*dp[v][j])%mod; memcpy(dp[u],f,sizeof dp[u]); }}int main(){ scanf("%d%d",&n,&k); for (int i=0;i<n-1;++i) { scanf("%d%d",&u,&v); vec[u].push_back(v); vec[v].push_back(u); } dfs(1); ll res=0; for (int i=0;i<=k;++i) res=(res+dp[1][i])%mod; printf("%lld\n",res); return 0;}
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