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167 changes: 148 additions & 19 deletions 1.-Python/1.-Snail-and-Well/snail-and-well.ipynb
Original file line number Diff line number Diff line change
Expand Up @@ -30,10 +30,15 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": []
"source": [
"well_height = 125\n",
"daily_distance = 30\n",
"nightly_distance = -20\n",
"snail_position = 0"
]
},
{
"cell_type": "markdown",
Expand All @@ -44,10 +49,12 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": []
"source": [
"days = 0"
]
},
{
"cell_type": "markdown",
Expand All @@ -58,10 +65,19 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": []
"source": [
"while (snail_position <= well_height):\n",
" snail_position += daily_distance\n",
" if (snail_position > well_height):\n",
" days += 1\n",
" else:\n",
" days += 1\n",
" snail_position += nightly_distance\n",
" "
]
},
{
"cell_type": "markdown",
Expand All @@ -72,10 +88,22 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": []
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"It will take the snake 11 days to scape the well.\n"
]
}
],
"source": [
"print(\"\")\n",
"print(\"It will take the snake\", days, \"days to scape the well.\")"
]
},
{
"cell_type": "markdown",
Expand All @@ -96,10 +124,37 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": []
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"It will take the snake 6 days to scape the well.\n"
]
}
],
"source": [
"well_height = 125\n",
"advance_cm = [30, 21, 33, 77, 44, 45, 23, 45, 12, 34, 55]\n",
"nightly_distance = -20\n",
"snail_position = 0\n",
"days = 0\n",
"\n",
"for i in advance_cm:\n",
" if (snail_position <= well_height):\n",
" snail_position += i\n",
" if (snail_position > well_height):\n",
" days += 1\n",
" else:\n",
" days += 1\n",
" snail_position += nightly_distance\n",
"\n",
"print(\"\")\n",
"print(\"It will take the snake\", days, \"days to scape the well.\")"
]
},
{
"cell_type": "markdown",
Expand All @@ -111,10 +166,34 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": []
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"The maximum displacement in one day is 57 cm.\n",
"The minimum displacement in one day is 1 cm.\n"
]
}
],
"source": [
"real_daily_distance = advance_cm[:days]\n",
"displacement = []\n",
"\n",
"for i in real_daily_distance[:(days-1)]:\n",
" x = i + nightly_distance\n",
" displacement.append(x)\n",
"\n",
"for i in real_daily_distance[(days-1):]:\n",
" displacement.append(i)\n",
"\n",
"print(\"\")\n",
"print(\"The maximum displacement in one day is\", (max(displacement)), \"cm.\")\n",
"print(\"The minimum displacement in one day is\", (min(displacement)), \"cm.\")"
]
},
{
"cell_type": "markdown",
Expand All @@ -125,10 +204,24 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": []
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"The average progress of the snake is 25.0 .\n"
]
}
],
"source": [
"average_progress = sum(displacement)/len(displacement)\n",
"\n",
"print(\"\")\n",
"print(\"The average progress of the snake is\", average_progress, \".\")"
]
},
{
"cell_type": "markdown",
Expand All @@ -137,6 +230,42 @@
"#### 4. What is the standard deviation of its displacement? Take into account the snail slides at night."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"The standard deviation for the snake displacement is 19.87460691435179 .\n"
]
}
],
"source": [
"squared_deviation_around_mean = []\n",
"\n",
"for i in displacement:\n",
" x = (i - average_progress)**2\n",
" squared_deviation_around_mean.append(x)\n",
"\n",
"variance = sum(squared_deviation_around_mean)/len(squared_deviation_around_mean)\n",
"\n",
"standard_deviation = variance**0.5\n",
"\n",
"print(\"\")\n",
"print(\"The standard deviation for the snake displacement is\", standard_deviation, \".\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
Expand All @@ -161,7 +290,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.2"
"version": "3.7.4"
}
},
"nbformat": 4,
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