data:image/png;base64,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: Arvind Majumder Partner: Brandon Description: Uses two different algorithms to find the sum of numbers between 1 and any input number. This project also shows how long different algorithms take in milliseconds. Honorcode: Received a bit of help in developing Alphies code from Ailin Zheng.Adds up the numbers between two numbers by taking a list of all the numbers between and adding them altogether.

Reports the numbers between the two numbers

Multiplies the last number by same number added by 1, and is divided by 2.

true1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800