SOLVE

LATER

The Tree

Problem

Editorial

Analytics

Paheli and Bhoojo are Appro’s long lost friends . The Last time Appro met them was in class 10th science class. Appro sees them after 6 years today but they are very angry with her , so they punish her and ask her to calculate strength of the tree in their backyard.

Strength of a tree is defined as maximum sum of number of divisors of subset of nodes of a tree but there is one condition , if a node is included in this set, none of its children can be a part.

Please help Appro with this.

Note: The tree is rooted at 1.

**Input:**

The first line of input contains single integer $$N$$ denoting the number of nodes in the tree.

Next $$N-1$$ lines contains 2 space separated integers $$A$$ and $$B$$ denoting that there is an edge from node $$A$$ to node $$B$$.

**Output:**

Print the required answer.

**Constraints:**

$$ 1\le N \le 10^6 $$

$$ 1\le A,B \le N $$

Time Limit:
1.0 sec(s)
for each input file.

Memory Limit:
256 MB

Source Limit:
1024 KB

Marking Scheme:
Marks are awarded when all the testcases pass.

Allowed Languages:
C,
C++,
C++14,
Clojure,
C#,
D,
Erlang,
F#,
Go,
Groovy,
Haskell,
Java,
Java 8,
JavaScript(Rhino),
JavaScript(Node.js),
Julia,
Kotlin,
Lisp,
Lisp (SBCL),
Lua,
Objective-C,
OCaml,
Octave,
Pascal,
Perl,
PHP,
Python,
Python 3,
R(RScript),
Racket,
Ruby,
Rust,
Scala,
Swift,
Visual Basic

Initializing Code Editor...

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