Area of a Convex Polygon

Area of a Convex Polygon

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Дан выпуклый многоугольник на координатной плоскости. Данный многоугольник представлен, как массив координат вершин. Вершины соединены последовательно друг с другом и последняя в массиве соединена с первой. Многоугольник имеет N вершин. Вам нужно написать программу для расчета площади многоугольника. Результат должен быть с точностью до одного знака или ±0.1.

area-convex-polygon area-convex-polygon

Входные данные: Координаты, как список (list) списков. Каждый список содержит два целых числа.

Входные данные: Площадь многоугольника, как число.



Предусловия: 3 ≤ N ≤ 8
∀ x, y ∈ coordinates : 0 ≤ x ≤ 10; 0 ≤ y ≤ 10;

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