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149 changes: 149 additions & 0 deletions khj20006/202509/02 BOJ P3 안아줘요.md
Original file line number Diff line number Diff line change
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```java
import java.util.*;
import java.io.*;

class IOController {
BufferedReader br;
BufferedWriter bw;
StringTokenizer st;

public IOController() {
br = new BufferedReader(new InputStreamReader(System.in));
bw = new BufferedWriter(new OutputStreamWriter(System.out));
st = new StringTokenizer("");
}

String nextLine() throws Exception {
String line = br.readLine();
st = new StringTokenizer(line);
return line;
}

String nextToken() throws Exception {
while (!st.hasMoreTokens()) nextLine();
return st.nextToken();
}

int nextInt() throws Exception {
return Integer.parseInt(nextToken());
}

long nextLong() throws Exception {
return Long.parseLong(nextToken());
}

double nextDouble() throws Exception {
return Double.parseDouble(nextToken());
}

void close() throws Exception {
bw.flush();
bw.close();
}

void write(String content) throws Exception {
bw.write(content);
}

}

class SegTree {
int[] tree;
SegTree(int size) {
tree = new int[size*4];
}

void update(int s, int e, int i, int v, int n) {
if(s == e) {
tree[n] = Math.max(tree[n], v);
return;
}
int m = (s+e)>>1;
if(i <= m) update(s,m,i,v,n*2);
else update(m+1,e,i,v,n*2+1);
tree[n] = Math.max(tree[n*2],tree[n*2+1]);
}

int find(int s, int e, int l, int r, int n) {
if(l>r || l>e || r<s) return 0;
if(l<=s && e<=r) return tree[n];
int m = (s+e)>>1;
return Math.max(find(s,m,l,r,n*2), find(m+1,e,l,r,n*2+1));
}
}

public class Main {

static IOController io;

//

static int N, Q;
static int[][] points;
static SegTree seg1, seg2;

static int index(List<Integer> arr, int x) {
int s = 0, e = arr.size(), m = (s+e)>>1;
while(s<e) {
int v = arr.get(m);
if(v < x) s = m+1;
else e = m;
m = (s+e)>>1;
}
return m;
}

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

io = new IOController();

N = io.nextInt();
Q = io.nextInt();
points = new int[N][];
List<Integer> list1 = new ArrayList<>();
List<Integer> list2 = new ArrayList<>();
for(int i=0;i<N;i++) {
points[i] = new int[]{io.nextInt(),io.nextInt(),i+1};
list1.add(points[i][1]-points[i][0]);
list2.add(points[i][1]+points[i][0]);
}

Collections.sort(list1);
Collections.sort(list2);

List<Integer> arr1 = new ArrayList<>();
List<Integer> arr2 = new ArrayList<>();
arr1.add(list1.get(0));
for(int i=1;i<N;i++) if(!list1.get(i).equals(list1.get(i-1))) arr1.add(list1.get(i));
arr2.add(list2.get(0));
for(int i=1;i<N;i++) if(!list2.get(i).equals(list2.get(i-1))) arr2.add(list2.get(i));

seg1 = new SegTree(arr1.size());
seg2 = new SegTree(arr2.size());

int[] ans = new int[N+1];
Arrays.sort(points, (a,b) -> a[1]==b[1] ? a[0]-b[0] : a[1]-b[1]);
for(int i=0;i<N;) {
int Y = points[i][1];
List<int[]> update1 = new ArrayList<>();
List<int[]> update2 = new ArrayList<>();
while(i<N && points[i][1] == Y) {
int x = points[i][0], y = points[i][1], n = points[i][2];
int i1 = index(arr1, y-x), i2 = index(arr2, y+x);
ans[n] = Math.max(seg1.find(0,arr1.size()-1,i1,arr1.size()-1,1), seg2.find(0,arr2.size()-1,i2,arr2.size()-1,1)) + 1;
update1.add(new int[]{i1,ans[n]});
update2.add(new int[]{i2,ans[n]});
i++;
}
for(int[] up : update1) seg1.update(0,arr1.size()-1,up[0],up[1],1);
for(int[] up : update2) seg2.update(0,arr2.size()-1,up[0],up[1],1);
}

while(Q-->0) io.write(ans[io.nextInt()] + "\n");

io.close();

}

}
```