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169 changes: 148 additions & 21 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 +65,38 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": []
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 30 True\n",
"2 40 True\n",
"3 50 True\n",
"4 60 True\n",
"5 70 True\n",
"6 80 True\n",
"7 90 True\n",
"8 100 True\n",
"9 110 True\n",
"10 120 True\n",
"11 130 False\n",
"It will take the snail 11 days to escape the well\n"
]
}
],
"source": [
"while snail_position <= well_height:\n",
" days += 1\n",
" snail_position += daily_distance\n",
" print(days, snail_position, snail_position <= well_height)\n",
" if snail_position <= well_height:\n",
" snail_position += nightly_distance\n",
" else:\n",
" print(\"It will take the snail\", days, \"days to escape the well\")"
]
},
{
"cell_type": "markdown",
Expand All @@ -72,10 +107,20 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": []
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"It will take the snail 11 days to escape the well\n"
]
}
],
"source": [
"print(\"It will take the snail\", days, \"days to escape the well\")"
]
},
{
"cell_type": "markdown",
Expand All @@ -96,10 +141,42 @@
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
"execution_count": 6,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 1 30\n",
"2 2 21\n",
"3 3 33\n",
"4 4 77\n",
"5 5 44\n",
"6 6 45\n",
"It will take the snail 6 days to escape the well\n"
]
}
],
"source": [
"well_height = 125\n",
"nightly_distance = -20\n",
"snail_position = 0\n",
"days = 0\n",
"advance_cm = [30, 21, 33, 77, 44, 45, 23, 45, 12, 34, 55]\n",
"\n",
"while snail_position <= well_height:\n",
" days += 1\n",
" snail_position += advance_cm[days-1]\n",
" print(days, days, advance_cm[days-1])\n",
" #snail_position += advance_cm[days-1]\n",
" if snail_position <= well_height:\n",
" snail_position += nightly_distance\n",
" else:\n",
" print(\"It will take the snail\", days, \"days to escape the well\")"
]
},
{
"cell_type": "markdown",
Expand All @@ -111,10 +188,22 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": []
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"maximum displacement in one day is 57 and minimum displacement in one day is 1\n"
]
}
],
"source": [
"max_displacement=max(advance_cm[:6]) + nightly_distance\n",
"min_displacement=min(advance_cm[:6]) + nightly_distance\n",
"print(\"maximum displacement in one day is\", max_displacement, \"and minimum displacement in one day is\", min_displacement)"
]
},
{
"cell_type": "markdown",
Expand All @@ -125,10 +214,21 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": []
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"average displacement in one day is 21.666666666666664\n"
]
}
],
"source": [
"average_displacement= sum(advance_cm[:6])/len(advance_cm[:6]) + nightly_distance\n",
"print(\"average displacement in one day is\", average_displacement)"
]
},
{
"cell_type": "markdown",
Expand All @@ -137,6 +237,33 @@
"#### 4. What is the standard deviation of its displacement? Take into account the snail slides at night."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The standard deviation of its displacement is 23.752937085800994\n"
]
}
],
"source": [
"import math \n",
"\n",
"advance_std_dv = 0\n",
"\n",
"for cms in advance_cm:\n",
" advance_std_dv += (average_displacement - cms)**2 \n",
" \n",
"advance_std_dv = advance_std_dv / len(advance_cm) \n",
"\n",
"advance_std_dv = math.sqrt(advance_std_dv)\n",
"print(\"The standard deviation of its displacement is\", advance_std_dv)"
]
},
{
"cell_type": "code",
"execution_count": null,
Expand All @@ -161,7 +288,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.2"
"version": "3.9.4"
}
},
"nbformat": 4,
Expand Down
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