Exercises/Exercise_7_Numpy_Solutions.ipynb

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   "source": [
    "# Introduction to Python   \n",
    "\n",
    "### Numpy (Solutions)"
   ]
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   "source": [
    "import numpy as np"
   ]
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   "source": [
    "#### 1) Create a function that receives an integer N as argument and returns a matrix $N x N$ with \"ones\" on the edges and \"zeros\" inside\n",
    "\n",
    "hint: Indexes"
   ]
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   "source": [
    "def array_0_1(n):\n",
    "  c = np.ones((n,n))\n",
    "  c[1:-1, 1:-1] = 0\n",
    "  return c"
   ]
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       "array([[1., 1., 1., 1., 1., 1., 1., 1., 1., 1.],\n",
       "       [1., 0., 0., 0., 0., 0., 0., 0., 0., 1.],\n",
       "       [1., 0., 0., 0., 0., 0., 0., 0., 0., 1.],\n",
       "       [1., 0., 0., 0., 0., 0., 0., 0., 0., 1.],\n",
       "       [1., 0., 0., 0., 0., 0., 0., 0., 0., 1.],\n",
       "       [1., 0., 0., 0., 0., 0., 0., 0., 0., 1.],\n",
       "       [1., 0., 0., 0., 0., 0., 0., 0., 0., 1.],\n",
       "       [1., 0., 0., 0., 0., 0., 0., 0., 0., 1.],\n",
       "       [1., 0., 0., 0., 0., 0., 0., 0., 0., 1.],\n",
       "       [1., 1., 1., 1., 1., 1., 1., 1., 1., 1.]])"
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   "source": [
    "array_0_1(10)"
   ]
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   "source": [
    "2) Create a function that transpose a matrix without using the method np.transpose or np.array.T.\n",
    "\n",
    "Hint: Criar um vetor de ones e prestar atenção no shape desse vetor\n",
    "\n",
    "Monitoria: np.ones, np.zeros - definindo o shape"
   ]
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   "source": [
    "def transposing(array):\n",
    "  array_t = np.zeros(tuple(reversed(array.shape)))  \n",
    "  for i in range(array.shape[1]):\n",
    "    for j in range(array.shape[0]):\n",
    "      array_t[i][j] = array[j][i]\n",
    "  return array_t"
   ]
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   "source": [
    "a = np.array([[2,3],[26,8],[1,1]])"
   ]
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     "data": {
      "text/plain": [
       "array([[ 2, 26,  1],\n",
       "       [ 3,  8,  1]])"
      ]
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     "execution_count": 6,
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   "source": [
    "a.T"
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       "array([[ 2,  3],\n",
       "       [26,  8],\n",
       "       [ 1,  1]])"
      ]
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    "a"
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   "source": [
    "3) Create two 1d arrays with length 10 that contains random integers from 0 to 1000. How many iterations does it take until the sum of their values are the same?"
   ]
  },
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   "metadata": {
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   "source": [
    "Hint: np.random.randint\n",
    "\n",
    "Monitoria: np.random.randint"
   ]
  },
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   "source": [
    "count = 0\n",
    "while True:\n",
    "  count +=1\n",
    "  a1 = np.random.randint(1000, size = 10)\n",
    "  a2 = np.random.randint(1000, size = 10)\n",
    "  if a1.sum() == a2.sum():\n",
    "    break"
   ]
  },
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   "source": [
    "Obviamente, sendo aleatório, cada um terá uma resposta diferente"
   ]
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       "787"
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   "source": [
    "count"
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