From 4a785fd43980028940a4ae840d0d88cde241346e Mon Sep 17 00:00:00 2001
From: oncsr <khj20006@naver.com>
Date: Tue, 2 Sep 2025 21:55:14 +0900
Subject: [PATCH] =?UTF-8?q?[20250902]=20BOJ=20/=20P3=20/=20=EC=95=88?=
 =?UTF-8?q?=EC=95=84=EC=A4=98=EC=9A=94=20/=20=EA=B6=8C=ED=98=81=EC=A4=80?=
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---
 ...10\354\225\204\354\244\230\354\232\224.md" | 149 ++++++++++++++++++
 1 file changed, 149 insertions(+)
 create mode 100644 "khj20006/202509/02 BOJ P3 \354\225\210\354\225\204\354\244\230\354\232\224.md"

diff --git "a/khj20006/202509/02 BOJ P3 \354\225\210\354\225\204\354\244\230\354\232\224.md" "b/khj20006/202509/02 BOJ P3 \354\225\210\354\225\204\354\244\230\354\232\224.md"
new file mode 100644
index 00000000..a94d6795
--- /dev/null
+++ "b/khj20006/202509/02 BOJ P3 \354\225\210\354\225\204\354\244\230\354\232\224.md"	
@@ -0,0 +1,149 @@
+```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();
+
+    }
+
+}
+```