166. Counting Calories (Easier Version)

Codeforces

IDCF10269166

Time1000ms

Memory256MB

Difficulty—

English · Original

Formal · Original

Over the quarantine season, you decide to watch your weight by limiting yourself to a certain amount of calories a day. In your house, you stocked up on a small variety of foods before the quarantine, and regardless of what time of the day it is, you must choose from these items: Steak: 500 Cal Apple: 100 Cal Bread: 50 Cal You will be given a number $n$, denoting the number of calories you have limited yourself to for the day. $n$ will be divisible by 50. Print the minimum amount of articles of food you must consume for the day in order to reach your caloric limit exactly. ## Input You will be given a number $n$, denoting the number of calories you have limited yourself to for the day.$n$ will be divisible by 50. ## Output Print the minimum amount of articles of food you must consume for the day in order to reach your caloric limit exactly. [samples]

**Definitions** Let $ n \in \mathbb{Z}^+ $ be the daily caloric limit, with $ 50 \mid n $. Let the food items be defined by their caloric values: - Steak: $ c_1 = 500 $ - Apple: $ c_2 = 100 $ - Bread: $ c_3 = 50 $ **Objective** Find the minimum number of food items $ m \in \mathbb{Z}^+ $ such that: $$ 500x + 100y + 50z = n, \quad x, y, z \in \mathbb{Z}_{\geq 0} $$ and $ m = x + y + z $ is minimized.

API Response (JSON)

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