import numpy as np

class Simplex:
    def __init__(self, source):
        m, n = source.shape
        self.table = np.zeros((m, n + m - 1))
        self.basis = []

        for i in range(m):
            for j in range(self.table.shape[1]):
                if j < n:
                    self.table[i, j] = source[i, j]
                else:
                    self.table[i, j] = 0

            if (n + i) < self.table.shape[1]:
                self.table[i, n + i] = 1
                self.basis.append(n + i)

        self.m = m
        self.n = self.table.shape[1]

    def calculate(self, result):
        while not self.is_it_end():
            main_col = self.find_main_col()
            main_row = self.find_main_row(main_col)
            self.basis[main_row] = main_col

            new_table = np.zeros((self.m, self.n))

            for j in range(self.n):
                new_table[main_row, j] = self.table[main_row, j] / self.table[main_row, main_col]

            for i in range(self.m):
                if i == main_row:
                    continue

                for j in range(self.n):
                    new_table[i, j] = self.table[i, j] - self.table[i, main_col] * new_table[main_row, j]

            self.table = new_table

        for i in range(len(result)):
            k = self.basis.index(i + 1) if i + 1 in self.basis else -1
            result[i] = self.table[k, 0] if k != -1 else 0

        return self.table

    def is_it_end(self):
        return np.all(self.table[self.m - 1, 1:] >= 0)

    def find_main_col(self):
        main_col = 1

        for j in range(2, self.n):
            if self.table[self.m - 1, j] < self.table[self.m - 1, main_col]:
                main_col = j

        return main_col

    def find_main_row(self, main_col):
        main_row = 0

        for i in range(self.m - 1):
            if self.table[i, main_col] > 0:
                main_row = i
                break

        for i in range(main_row + 1, self.m - 1):
            if self.table[i, main_col] > 0 and (self.table[i, 0] / self.table[i, main_col]) < (self.table[main_row, 0] / self.table[main_row, main_col]):
                main_row = i

        return main_row