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91 changes: 91 additions & 0 deletions khj20006/202502/10 BOJ P5 OMOI.md
Original file line number Diff line number Diff line change
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```java

import java.util.*;
import java.io.*;

class Main {

// IO field
static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
static BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
static StringTokenizer st;

static void nextLine() throws Exception {st = new StringTokenizer(br.readLine());}
static int nextInt() {return Integer.parseInt(st.nextToken());}
static long nextLong() {return Long.parseLong(st.nextToken());}
static void bwEnd() throws Exception {bw.flush();bw.close();}

// Additional field
static int[] C;
static List<Integer>[] V;
static int N;
static int[] cnt, mn;
static long[] sum;
static long ans = 0;


public static void main(String[] args) throws Exception {

ready();
solve();

bwEnd();
}

static void ready() throws Exception{

N = Integer.parseInt(br.readLine());
V = new List[N+1];
for(int i=1;i<=N;i++) V[i] = new ArrayList<>();
C = new int[N+1];
cnt = new int[N+1];
mn = new int[N+1];
sum = new long[N+1];

nextLine();
for(int i=2;i<=N;i++) V[nextInt()].add(i);
nextLine();
for(int i=2;i<=N;i++) C[i] = nextInt();

}

static void solve() throws Exception{

dfs(1);
bw.write(ans+"\n");

}

static void dfs(int n) {
mn[n] = Integer.MAX_VALUE;
cnt[n] = 1;
sum[n] = C[n];
int mxCnt = 0;
for(int i:V[n]) {
dfs(i);
cnt[n] += cnt[i];
sum[n] += sum[i];
mxCnt = Math.max(mxCnt, cnt[i]);
mn[n] = Math.min(mn[n], mn[i]);
}
ans += sum[n] - C[n];
if(mxCnt > cnt[n]-1-mxCnt) {
long rem = cnt[n]-1 - (cnt[n]-1-mxCnt)*2;
int minValue = Integer.MAX_VALUE;
for(int i:V[n]) {
if(cnt[i] == mxCnt) continue;
minValue = Math.min(minValue, mn[i]);
}
ans += rem * minValue;
}
else {
if((cnt[n]-1) % 2 != 0) {
ans += mn[n];
}
}
mn[n] = Math.min(mn[n], C[n]);
}

}

```