066. Neural Network Weight Count

Codeforces

IDCF10269066

Time1000ms

Memory256MB

Difficulty—

English · Original

Formal · Original

As computers have become more and more powerful, the use of artificial intelligence has become ever more prominent in modern computing. As a result, a mechanism called a neural network has become a very commonly used tool for replicating the basic biological processes that result in the function of the brain. Neural Networks are composed of a series of "layers" of nodes, where each node of layer $i$ will connect with every node of layer $i + 1$. The first line contains a single integer $N$ that represents the number of layers. The next line contains $N$ space-separated integers that represent the number of nodes in each layer respectively. A single integer that represents the total number of weights in the network. ## Input The first line contains a single integer $N$ that represents the number of layers. The next line contains $N$ space-separated integers that represent the number of nodes in each layer respectively. ## Output A single integer that represents the total number of weights in the network. [samples]

**Definitions** Let $ N \in \mathbb{Z}^+ $ be the number of layers. Let $ n_i \in \mathbb{Z}^+ $ denote the number of nodes in layer $ i $, for $ i \in \{1, 2, \dots, N\} $. **Constraints** $ N \geq 1 $, and $ n_i \geq 1 $ for all $ i \in \{1, \dots, N\} $. **Objective** Compute the total number of weights in the neural network: $$ \sum_{i=1}^{N-1} n_i \cdot n_{i+1} $$

API Response (JSON)

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