add 数论基础 唯一分解定理（算术基本定理）.

luogu/njit-baidu2023/ta.py

@@ -0,0 +1,29 @@
+import io
+import sys
+
+sys.stdin = io.StringIO('''5
+5 3 2 8
+100 101 102 105
+3 2 1 100000000
+10 20 15 14
+101 101 101 3''')
+
+
+def fun(a, b, c, n):
+    total = a + b + c + n
+    if total % 3 != 0:
+        return False
+
+    avg = total // 3
+    if avg - a < 0 or avg - b < 0 or avg - c < 0:
+        return False
+
+    return True
+
+
+t = int(input())
+for _ in range(t):
+    print('YES' if fun(*map(int, input().split())) else 'NO')
+
+    if __name__ == '__main__':
+        pass

luogu/njit-baidu2023/tb.py

@@ -0,0 +1,25 @@
+import io
+import sys
+
+sys.stdin = io.StringIO('''4
+100 98
+42 32
+1000000000000000000 1
+41 40''')
+
+
+# 数论基础 唯一分解定理（算术基本定理）
+# x - n*p = y
+# 则 n*p = x - y = z
+# 大于1的整数就满足 可分解为任意素数乘积
+def fun(x, y):
+    z = x - y
+    return z > 1
+
+
+t = int(input())
+for _ in range(t):
+    print('YES' if fun(*map(int, input().split())) else 'NO')
+
+    if __name__ == '__main__':
+        pass