From 8009d1f5bdcfe1aec6458ed118239387e004fe59 Mon Sep 17 00:00:00 2001
From: yenru0 <yenru0604@gmail.com>
Date: Fri, 10 May 2024 04:59:25 +0900
Subject: [PATCH] complete 2568.py

---
 zeta_python/completed/2568.py | 53 +++++++++++++++++++++++++++++++++++
 1 file changed, 53 insertions(+)
 create mode 100644 zeta_python/completed/2568.py

diff --git a/zeta_python/completed/2568.py b/zeta_python/completed/2568.py
new file mode 100644
index 0000000..badd803
--- /dev/null
+++ b/zeta_python/completed/2568.py
@@ -0,0 +1,53 @@
+from bisect import bisect_left
+
+
+# LIS
+def solve(N: int, I: list[tuple[int, int]]) -> tuple[int, list]:
+    left = []
+    right = []
+    D = []
+    L = []
+    R = []
+    I = sorted(I, key=lambda x: x[0])
+    for l, r in I:
+        left.append(l)
+        right.append(r)
+
+    L.append(right[0])
+    D.append(left[0])
+    R.append((0, 0))
+    for i in range(1, N):
+        pos = bisect_left(L, right[i])
+        if pos >= len(L):
+            L.append(right[i])
+            D.append(left[i])
+        else:
+            L[pos] = right[i]
+            D[pos] = left[i]
+        R.append((pos, i))
+
+    target = len(L) - 1
+    FL = []
+    for i, j in R[::-1]:
+        if i == target:
+            FL.append(left[j])
+            target -= 1
+
+    return N - len(L), set(left).difference(set(FL))
+
+
+if __name__ == "__main__":
+    N = int(input())
+    I = [tuple(map(int, input().split())) for _ in range(N)]
+
+    cnt, L = solve(N, I)
+    print(cnt)
+    [print(i) for i in L]
+
+
+# 1 2 3 4 6 7 9 10
+# 8 2 9 1 4 6 7 10
+# 1 1 2 1 2 3 4 5
+
+# 1 1 2 1 2 3
+# 8 2 9 1 4 6