解题思路
- 对于每个宝藏维护个区间,答案一定在这些区间中
- 对于每个区间的端点由小到大排序
- 对于每个点进行判断,若当前位置合法,则该点一定为一个右端点
- 则该点到前一个端点之间均为合法点
- 若前一个点不合法,则一定是某一个区间限制的左端点,所以该点到这个端点之间均未超出范围,使某一宝藏取不到
- 若前一个点合法,则在满足的前提下,还避免了重复
import java.io.*;
import java.math.BigInteger;
import java.util.*;
//implements Runnable
public class Main {
static long md=(long)998244353;
static long Linf=Long.MAX_VALUE/2;
static int inf=Integer.MAX_VALUE/2;
static int N=200010;
static int n=0;
static int m=0;
static long ans=0;
static long[] a;
static long[] b;
static boolean check(long x){
PriorityQueue<Long> q=new PriorityQueue<>((o1,o2)->{
if(o1-o2>0)return 1;
else if(o1-o2<0)return -1;
else return 0;
});
for(int i=1;i<=n;++i){
q.add(Math.abs(x-a[i]));
}
for(int i=1;i<=n;++i){
if(q.poll()>b[i])return false;
}
return true;
}
static void solve() throws Exception{
AReader input=new AReader();
// String fileName="C:\\Users\\Lenovo\\Downloads\\055.txt";
// Scanner input=new Scanner(new FileReader(fileName));
// BufferedReader input = new BufferedReader(new FileReader(fileName));
PrintWriter out = new PrintWriter(new OutputStreamWriter(System.out));
String al="abcdefghijklmnopqrstuvwxyz";
char[] ac=al.toCharArray();
n=input.nextInt();
a=new long[n+1];
for(int i=1;i<=n;++i)a[i]=input.nextLong();
b=new long[n+1];
for(int i=1;i<=n;++i)b[i]=input.nextLong();
Arrays.sort(b,1,n+1);
TreeSet<Long> hs=new TreeSet<>();
for(int i=1;i<=n;++i){
for(int j=1;j<=n;++j){
hs.add(a[i]-b[j]-1);//左端点,左开右闭,区分左端点和右端点
hs.add(a[i]+b[j]);//右端点
}
}
long l=0;
for(long x:hs){
if(check(x))ans+=x-l;
l=x;//左端点,要么是右端点区间去重叠
}
out.println(ans);
out.flush();
out.close();
}
public static void main(String[] args) throws Exception{
solve();
}
// public static final void main(String[] args) throws Exception {
// new Thread(null, new Tx2(), "线程名字", 1 << 27).start();
// }
// @Override
// public void run() {
// try {
// //原本main函数的内容
// solve();
//
// } catch (Exception e) {
// }
// }
static
class AReader{
BufferedReader bf;
StringTokenizer st;
BufferedWriter bw;
public AReader(){
bf=new BufferedReader(new InputStreamReader(System.in));
st=new StringTokenizer("");
bw=new BufferedWriter(new OutputStreamWriter(System.out));
}
public String nextLine() throws IOException{
return bf.readLine();
}
public String next() throws IOException{
while(!st.hasMoreTokens()){
st=new StringTokenizer(bf.readLine());
}
return st.nextToken();
}
public char nextChar() throws IOException{
//确定下一个token只有一个字符的时候再用
return next().charAt(0);
}
public int nextInt() throws IOException{
return Integer.parseInt(next());
}
public long nextLong() throws IOException{
return Long.parseLong(next());
}
public double nextDouble() throws IOException{
return Double.parseDouble(next());
}
public float nextFloat() throws IOException{
return Float.parseFloat(next());
}
public byte nextByte() throws IOException{
return Byte.parseByte(next());
}
public short nextShort() throws IOException{
return Short.parseShort(next());
}
public BigInteger nextBigInteger() throws IOException{
return new BigInteger(next());
}
public void println() throws IOException {
bw.newLine();
}
public void println(int[] arr) throws IOException{
for (int value : arr) {
bw.write(value + " ");
}
println();
}
public void println(int l, int r, int[] arr) throws IOException{
for (int i = l; i <= r; i ++) {
bw.write(arr[i] + " ");
}
println();
}
public void println(int a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
}
public void print(int a) throws IOException{
bw.write(String.valueOf(a));
}
public void println(String a) throws IOException{
bw.write(a);
bw.newLine();
}
public void print(String a) throws IOException{
bw.write(a);
}
public void println(long a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
}
public void print(long a) throws IOException{
bw.write(String.valueOf(a));
}
public void println(double a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
}
public void print(double a) throws IOException{
bw.write(String.valueOf(a));
}
public void print(char a) throws IOException{
bw.write(String.valueOf(a));
}
public void println(char a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
}
}
}