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mattalhonte/Matt n Jacob.ipynb

Created July 19, 2015 19:32
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Matt n Jacob.ipynb
{
"metadata": {
"name": "",
"signature": "sha256:ce1ff328be52e62eb4017eedd65b18973b632ac3eeaba2b0a2631640c0d11d6f"
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"worksheets": [
{
"cells": [
{
"cell_type": "code",
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"input": [
"def nCr(n, r):\n",
" return r**n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"nCr(2,8)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 4,
"text": [
"64"
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}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"4,7,10...34"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def myDumbSolver(x):\n",
" return (x-1)/3"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"myDumbSolver(34)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"11.0"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def myDumbSolver(x, countingBy):\n",
" lengthMinusOne = x-1\n",
" divideLength = lengthMinusOne / countingBy\n",
" intAnswer = int(divideLength)\n",
" return intAnswer"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"myDumbSolver(34, 4)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 25,
"text": [
"8"
]
}
],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def gaussTrick(startPoint, endPoint):\n",
" baseUnit = startPoint + endPoint\n",
" numPairs = (endPoint - startPoint) / 2\n",
" intPairs = int(numPairs)\n",
" return baseUnit * intPairs"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 29
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def problem1():\n",
" to1000 = list(range(1000))\n",
" multsOf3 = [myNum for myNum in to1000 if ((myNum / 3) == int(myNum / 3))]\n",
" multsOf5 = [myNum for myNum in to1000 if ((myNum / 5) == int(myNum / 5))]\n",
" multsOf3Or5 = multsOf3 + multsOf5"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 30
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Make a list of all the numbers up to 1000\n",
"to1000 = list(range(1000))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 36
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"to1000"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 41,
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" 991,\n",
" 992,\n",
" 993,\n",
" 994,\n",
" 995,\n",
" 996,\n",
" 997,\n",
" 998,\n",
" 999]"
]
}
],
"prompt_number": 41
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Take all the numbers that are multiples of 3\n",
"multsOf3 = [myNum for myNum in to1000 if ((myNum / 3) == int(myNum / 3))]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 44
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"multsOf3"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 45,
"text": [
"[0,\n",
" 3,\n",
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" 987,\n",
" 990,\n",
" 993,\n",
" 996,\n",
" 999]"
]
}
],
"prompt_number": 45
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Take all the numbers that are multiples of 3\n",
"multsOf5 = [myNum for myNum in to1000 if ((myNum / 5) == int(myNum / 5))]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 54
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"multsOf5"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 43,
"text": [
"[0,\n",
" 5,\n",
" 10,\n",
" 15,\n",
" 20,\n",
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" 975,\n",
" 980,\n",
" 985,\n",
" 990,\n",
" 995]"
]
}
],
"prompt_number": 43
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Add the lists\n",
"multsOf3Or5 = multsOf3 + multsOf5"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 46
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"multsOf3Or5"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 47,
"text": [
"[0,\n",
" 3,\n",
" 6,\n",
" 9,\n",
" 12,\n",
" 15,\n",
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" 360,\n",
" 365,\n",
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" 990,\n",
" 995]"
]
}
],
"prompt_number": 47
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Remove duplicates\n",
"setMultsOf3Or5 = set(multsOf3Or5)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 48
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"setMultsOf3Or5"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 49,
"text": [
"{0,\n",
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" 9,\n",
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" 790,\n",
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" 798,\n",
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" 815,\n",
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" 819,\n",
" 820,\n",
" 822,\n",
" 825,\n",
" 828,\n",
" 830,\n",
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" 834,\n",
" 835,\n",
" 837,\n",
" 840,\n",
" 843,\n",
" 845,\n",
" 846,\n",
" 849,\n",
" 850,\n",
" 852,\n",
" 855,\n",
" 858,\n",
" 860,\n",
" 861,\n",
" 864,\n",
" 865,\n",
" 867,\n",
" 870,\n",
" 873,\n",
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" 876,\n",
" 879,\n",
" 880,\n",
" 882,\n",
" 885,\n",
" 888,\n",
" 890,\n",
" 891,\n",
" 894,\n",
" 895,\n",
" 897,\n",
" 900,\n",
" 903,\n",
" 905,\n",
" 906,\n",
" 909,\n",
" 910,\n",
" 912,\n",
" 915,\n",
" 918,\n",
" 920,\n",
" 921,\n",
" 924,\n",
" 925,\n",
" 927,\n",
" 930,\n",
" 933,\n",
" 935,\n",
" 936,\n",
" 939,\n",
" 940,\n",
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" 945,\n",
" 948,\n",
" 950,\n",
" 951,\n",
" 954,\n",
" 955,\n",
" 957,\n",
" 960,\n",
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" 966,\n",
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" 972,\n",
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" 978,\n",
" 980,\n",
" 981,\n",
" 984,\n",
" 985,\n",
" 987,\n",
" 990,\n",
" 993,\n",
" 995,\n",
" 996,\n",
" 999}"
]
}
],
"prompt_number": 49
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Sum\n",
"sum(list(setMultsOf3Or5))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 53,
"text": [
"233168"
]
}
],
"prompt_number": 53
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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