| 
									
										
										
										
											2018-09-30 23:01:58 +01:00
										 |  |  | --- | 
					
						
							|  |  |  | id: 5900f37a1000cf542c50fe8c | 
					
						
							|  |  |  | challengeType: 5 | 
					
						
							|  |  |  | title: 'Problem 13: Large sum' | 
					
						
							|  |  |  | --- | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | ## Description
 | 
					
						
							|  |  |  | <section id='description'> | 
					
						
							|  |  |  | Work out the first ten digits of the sum of the following one-hundred 50-digit numbers. | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 37107287533902102798797998220837590246510135740250 | 
					
						
							|  |  |  | 46376937677490009712648124896970078050417018260538 | 
					
						
							|  |  |  | 74324986199524741059474233309513058123726617309629 | 
					
						
							|  |  |  | 91942213363574161572522430563301811072406154908250 | 
					
						
							|  |  |  | 23067588207539346171171980310421047513778063246676 | 
					
						
							|  |  |  | 89261670696623633820136378418383684178734361726757 | 
					
						
							|  |  |  | 28112879812849979408065481931592621691275889832738 | 
					
						
							|  |  |  | 44274228917432520321923589422876796487670272189318 | 
					
						
							|  |  |  | 47451445736001306439091167216856844588711603153276 | 
					
						
							|  |  |  | 70386486105843025439939619828917593665686757934951 | 
					
						
							|  |  |  | 62176457141856560629502157223196586755079324193331 | 
					
						
							|  |  |  | 64906352462741904929101432445813822663347944758178 | 
					
						
							|  |  |  | 92575867718337217661963751590579239728245598838407 | 
					
						
							|  |  |  | 58203565325359399008402633568948830189458628227828 | 
					
						
							|  |  |  | 80181199384826282014278194139940567587151170094390 | 
					
						
							|  |  |  | 35398664372827112653829987240784473053190104293586 | 
					
						
							|  |  |  | 86515506006295864861532075273371959191420517255829 | 
					
						
							|  |  |  | 71693888707715466499115593487603532921714970056938 | 
					
						
							|  |  |  | 54370070576826684624621495650076471787294438377604 | 
					
						
							|  |  |  | 53282654108756828443191190634694037855217779295145 | 
					
						
							|  |  |  | 36123272525000296071075082563815656710885258350721 | 
					
						
							|  |  |  | 45876576172410976447339110607218265236877223636045 | 
					
						
							|  |  |  | 17423706905851860660448207621209813287860733969412 | 
					
						
							|  |  |  | 81142660418086830619328460811191061556940512689692 | 
					
						
							|  |  |  | 51934325451728388641918047049293215058642563049483 | 
					
						
							|  |  |  | 62467221648435076201727918039944693004732956340691 | 
					
						
							|  |  |  | 15732444386908125794514089057706229429197107928209 | 
					
						
							|  |  |  | 55037687525678773091862540744969844508330393682126 | 
					
						
							|  |  |  | 18336384825330154686196124348767681297534375946515 | 
					
						
							|  |  |  | 80386287592878490201521685554828717201219257766954 | 
					
						
							|  |  |  | 78182833757993103614740356856449095527097864797581 | 
					
						
							|  |  |  | 16726320100436897842553539920931837441497806860984 | 
					
						
							|  |  |  | 48403098129077791799088218795327364475675590848030 | 
					
						
							|  |  |  | 87086987551392711854517078544161852424320693150332 | 
					
						
							|  |  |  | 59959406895756536782107074926966537676326235447210 | 
					
						
							|  |  |  | 69793950679652694742597709739166693763042633987085 | 
					
						
							|  |  |  | 41052684708299085211399427365734116182760315001271 | 
					
						
							|  |  |  | 65378607361501080857009149939512557028198746004375 | 
					
						
							|  |  |  | 35829035317434717326932123578154982629742552737307 | 
					
						
							|  |  |  | 94953759765105305946966067683156574377167401875275 | 
					
						
							|  |  |  | 88902802571733229619176668713819931811048770190271 | 
					
						
							|  |  |  | 25267680276078003013678680992525463401061632866526 | 
					
						
							|  |  |  | 36270218540497705585629946580636237993140746255962 | 
					
						
							|  |  |  | 24074486908231174977792365466257246923322810917141 | 
					
						
							|  |  |  | 91430288197103288597806669760892938638285025333403 | 
					
						
							|  |  |  | 34413065578016127815921815005561868836468420090470 | 
					
						
							|  |  |  | 23053081172816430487623791969842487255036638784583 | 
					
						
							|  |  |  | 11487696932154902810424020138335124462181441773470 | 
					
						
							|  |  |  | 63783299490636259666498587618221225225512486764533 | 
					
						
							|  |  |  | 67720186971698544312419572409913959008952310058822 | 
					
						
							|  |  |  | 95548255300263520781532296796249481641953868218774 | 
					
						
							|  |  |  | 76085327132285723110424803456124867697064507995236 | 
					
						
							|  |  |  | 37774242535411291684276865538926205024910326572967 | 
					
						
							|  |  |  | 23701913275725675285653248258265463092207058596522 | 
					
						
							|  |  |  | 29798860272258331913126375147341994889534765745501 | 
					
						
							|  |  |  | 18495701454879288984856827726077713721403798879715 | 
					
						
							|  |  |  | 38298203783031473527721580348144513491373226651381 | 
					
						
							|  |  |  | 34829543829199918180278916522431027392251122869539 | 
					
						
							|  |  |  | 40957953066405232632538044100059654939159879593635 | 
					
						
							|  |  |  | 29746152185502371307642255121183693803580388584903 | 
					
						
							|  |  |  | 41698116222072977186158236678424689157993532961922 | 
					
						
							|  |  |  | 62467957194401269043877107275048102390895523597457 | 
					
						
							|  |  |  | 23189706772547915061505504953922979530901129967519 | 
					
						
							|  |  |  | 86188088225875314529584099251203829009407770775672 | 
					
						
							|  |  |  | 11306739708304724483816533873502340845647058077308 | 
					
						
							|  |  |  | 82959174767140363198008187129011875491310547126581 | 
					
						
							|  |  |  | 97623331044818386269515456334926366572897563400500 | 
					
						
							|  |  |  | 42846280183517070527831839425882145521227251250327 | 
					
						
							|  |  |  | 55121603546981200581762165212827652751691296897789 | 
					
						
							|  |  |  | 32238195734329339946437501907836945765883352399886 | 
					
						
							|  |  |  | 75506164965184775180738168837861091527357929701337 | 
					
						
							|  |  |  | 62177842752192623401942399639168044983993173312731 | 
					
						
							|  |  |  | 32924185707147349566916674687634660915035914677504 | 
					
						
							|  |  |  | 99518671430235219628894890102423325116913619626622 | 
					
						
							|  |  |  | 73267460800591547471830798392868535206946944540724 | 
					
						
							|  |  |  | 76841822524674417161514036427982273348055556214818 | 
					
						
							|  |  |  | 97142617910342598647204516893989422179826088076852 | 
					
						
							|  |  |  | 87783646182799346313767754307809363333018982642090 | 
					
						
							|  |  |  | 10848802521674670883215120185883543223812876952786 | 
					
						
							|  |  |  | 71329612474782464538636993009049310363619763878039 | 
					
						
							|  |  |  | 62184073572399794223406235393808339651327408011116 | 
					
						
							|  |  |  | 66627891981488087797941876876144230030984490851411 | 
					
						
							|  |  |  | 60661826293682836764744779239180335110989069790714 | 
					
						
							|  |  |  | 85786944089552990653640447425576083659976645795096 | 
					
						
							|  |  |  | 66024396409905389607120198219976047599490197230297 | 
					
						
							|  |  |  | 64913982680032973156037120041377903785566085089252 | 
					
						
							|  |  |  | 16730939319872750275468906903707539413042652315011 | 
					
						
							|  |  |  | 94809377245048795150954100921645863754710598436791 | 
					
						
							|  |  |  | 78639167021187492431995700641917969777599028300699 | 
					
						
							|  |  |  | 15368713711936614952811305876380278410754449733078 | 
					
						
							|  |  |  | 40789923115535562561142322423255033685442488917353 | 
					
						
							|  |  |  | 44889911501440648020369068063960672322193204149535 | 
					
						
							|  |  |  | 41503128880339536053299340368006977710650566631954 | 
					
						
							|  |  |  | 81234880673210146739058568557934581403627822703280 | 
					
						
							|  |  |  | 82616570773948327592232845941706525094512325230608 | 
					
						
							|  |  |  | 22918802058777319719839450180888072429661980811197 | 
					
						
							|  |  |  | 77158542502016545090413245809786882778948721859617 | 
					
						
							|  |  |  | 72107838435069186155435662884062257473692284509516 | 
					
						
							|  |  |  | 20849603980134001723930671666823555245252804609722 | 
					
						
							|  |  |  | 53503534226472524250874054075591789781264330331690 | 
					
						
							|  |  |  | </section> | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | ## Instructions
 | 
					
						
							|  |  |  | <section id='instructions'> | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | </section> | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | ## Tests
 | 
					
						
							|  |  |  | <section id='tests'> | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | ```yml | 
					
						
							| 
									
										
										
										
											2018-10-04 14:37:37 +01:00
										 |  |  | tests: | 
					
						
							|  |  |  |   - text: <code>largeSum(testNums)</code> should return 8348422521. | 
					
						
							| 
									
										
										
										
											2018-10-20 21:02:47 +03:00
										 |  |  |     testString: assert.strictEqual(largeSum(testNums), 8348422521, '<code>largeSum(testNums)</code> should return 8348422521.'); | 
					
						
							| 
									
										
										
										
											2018-10-04 14:37:37 +01:00
										 |  |  |   - text: <code>largeSum(fiftyDigitNums)</code> should return 5537376230. | 
					
						
							| 
									
										
										
										
											2018-10-20 21:02:47 +03:00
										 |  |  |     testString: assert.strictEqual(largeSum(fiftyDigitNums), 5537376230, '<code>largeSum(fiftyDigitNums)</code> should return 5537376230.'); | 
					
						
							| 
									
										
										
										
											2018-09-30 23:01:58 +01:00
										 |  |  | 
 | 
					
						
							|  |  |  | ``` | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | </section> | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | ## Challenge Seed
 | 
					
						
							|  |  |  | <section id='challengeSeed'> | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | <div id='js-seed'> | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | ```js | 
					
						
							|  |  |  | function largeSum(arr) { | 
					
						
							|  |  |  |   // Good luck! | 
					
						
							|  |  |  |   return true; | 
					
						
							|  |  |  | } | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | // only change code above this line | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | const testNums = [ | 
					
						
							|  |  |  |   '37107287533902102798797998220837590246510135740250', | 
					
						
							|  |  |  |   '46376937677490009712648124896970078050417018260538' | 
					
						
							|  |  |  | ]; | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | largeSum(testNums); | 
					
						
							|  |  |  | ``` | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | </div> | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | ### Before Test
 | 
					
						
							|  |  |  | <div id='js-setup'> | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | ```js | 
					
						
							|  |  |  | const fiftyDigitNums = [ | 
					
						
							|  |  |  |   '37107287533902102798797998220837590246510135740250', | 
					
						
							|  |  |  |   '46376937677490009712648124896970078050417018260538', | 
					
						
							|  |  |  |   '74324986199524741059474233309513058123726617309629', | 
					
						
							|  |  |  |   '91942213363574161572522430563301811072406154908250', | 
					
						
							|  |  |  |   '23067588207539346171171980310421047513778063246676', | 
					
						
							|  |  |  |   '89261670696623633820136378418383684178734361726757', | 
					
						
							|  |  |  |   '28112879812849979408065481931592621691275889832738', | 
					
						
							|  |  |  |   '44274228917432520321923589422876796487670272189318', | 
					
						
							|  |  |  |   '47451445736001306439091167216856844588711603153276', | 
					
						
							|  |  |  |   '70386486105843025439939619828917593665686757934951', | 
					
						
							|  |  |  |   '62176457141856560629502157223196586755079324193331', | 
					
						
							|  |  |  |   '64906352462741904929101432445813822663347944758178', | 
					
						
							|  |  |  |   '92575867718337217661963751590579239728245598838407', | 
					
						
							|  |  |  |   '58203565325359399008402633568948830189458628227828', | 
					
						
							|  |  |  |   '80181199384826282014278194139940567587151170094390', | 
					
						
							|  |  |  |   '35398664372827112653829987240784473053190104293586', | 
					
						
							|  |  |  |   '86515506006295864861532075273371959191420517255829', | 
					
						
							|  |  |  |   '71693888707715466499115593487603532921714970056938', | 
					
						
							|  |  |  |   '54370070576826684624621495650076471787294438377604', | 
					
						
							|  |  |  |   '53282654108756828443191190634694037855217779295145', | 
					
						
							|  |  |  |   '36123272525000296071075082563815656710885258350721', | 
					
						
							|  |  |  |   '45876576172410976447339110607218265236877223636045', | 
					
						
							|  |  |  |   '17423706905851860660448207621209813287860733969412', | 
					
						
							|  |  |  |   '81142660418086830619328460811191061556940512689692', | 
					
						
							|  |  |  |   '51934325451728388641918047049293215058642563049483', | 
					
						
							|  |  |  |   '62467221648435076201727918039944693004732956340691', | 
					
						
							|  |  |  |   '15732444386908125794514089057706229429197107928209', | 
					
						
							|  |  |  |   '55037687525678773091862540744969844508330393682126', | 
					
						
							|  |  |  |   '18336384825330154686196124348767681297534375946515', | 
					
						
							|  |  |  |   '80386287592878490201521685554828717201219257766954', | 
					
						
							|  |  |  |   '78182833757993103614740356856449095527097864797581', | 
					
						
							|  |  |  |   '16726320100436897842553539920931837441497806860984', | 
					
						
							|  |  |  |   '48403098129077791799088218795327364475675590848030', | 
					
						
							|  |  |  |   '87086987551392711854517078544161852424320693150332', | 
					
						
							|  |  |  |   '59959406895756536782107074926966537676326235447210', | 
					
						
							|  |  |  |   '69793950679652694742597709739166693763042633987085', | 
					
						
							|  |  |  |   '41052684708299085211399427365734116182760315001271', | 
					
						
							|  |  |  |   '65378607361501080857009149939512557028198746004375', | 
					
						
							|  |  |  |   '35829035317434717326932123578154982629742552737307', | 
					
						
							|  |  |  |   '94953759765105305946966067683156574377167401875275', | 
					
						
							|  |  |  |   '88902802571733229619176668713819931811048770190271', | 
					
						
							|  |  |  |   '25267680276078003013678680992525463401061632866526', | 
					
						
							|  |  |  |   '36270218540497705585629946580636237993140746255962', | 
					
						
							|  |  |  |   '24074486908231174977792365466257246923322810917141', | 
					
						
							|  |  |  |   '91430288197103288597806669760892938638285025333403', | 
					
						
							|  |  |  |   '34413065578016127815921815005561868836468420090470', | 
					
						
							|  |  |  |   '23053081172816430487623791969842487255036638784583', | 
					
						
							|  |  |  |   '11487696932154902810424020138335124462181441773470', | 
					
						
							|  |  |  |   '63783299490636259666498587618221225225512486764533', | 
					
						
							|  |  |  |   '67720186971698544312419572409913959008952310058822', | 
					
						
							|  |  |  |   '95548255300263520781532296796249481641953868218774', | 
					
						
							|  |  |  |   '76085327132285723110424803456124867697064507995236', | 
					
						
							|  |  |  |   '37774242535411291684276865538926205024910326572967', | 
					
						
							|  |  |  |   '23701913275725675285653248258265463092207058596522', | 
					
						
							|  |  |  |   '29798860272258331913126375147341994889534765745501', | 
					
						
							|  |  |  |   '18495701454879288984856827726077713721403798879715', | 
					
						
							|  |  |  |   '38298203783031473527721580348144513491373226651381', | 
					
						
							|  |  |  |   '34829543829199918180278916522431027392251122869539', | 
					
						
							|  |  |  |   '40957953066405232632538044100059654939159879593635', | 
					
						
							|  |  |  |   '29746152185502371307642255121183693803580388584903', | 
					
						
							|  |  |  |   '41698116222072977186158236678424689157993532961922', | 
					
						
							|  |  |  |   '62467957194401269043877107275048102390895523597457', | 
					
						
							|  |  |  |   '23189706772547915061505504953922979530901129967519', | 
					
						
							|  |  |  |   '86188088225875314529584099251203829009407770775672', | 
					
						
							|  |  |  |   '11306739708304724483816533873502340845647058077308', | 
					
						
							|  |  |  |   '82959174767140363198008187129011875491310547126581', | 
					
						
							|  |  |  |   '97623331044818386269515456334926366572897563400500', | 
					
						
							|  |  |  |   '42846280183517070527831839425882145521227251250327', | 
					
						
							|  |  |  |   '55121603546981200581762165212827652751691296897789', | 
					
						
							|  |  |  |   '32238195734329339946437501907836945765883352399886', | 
					
						
							|  |  |  |   '75506164965184775180738168837861091527357929701337', | 
					
						
							|  |  |  |   '62177842752192623401942399639168044983993173312731', | 
					
						
							|  |  |  |   '32924185707147349566916674687634660915035914677504', | 
					
						
							|  |  |  |   '99518671430235219628894890102423325116913619626622', | 
					
						
							|  |  |  |   '73267460800591547471830798392868535206946944540724', | 
					
						
							|  |  |  |   '76841822524674417161514036427982273348055556214818', | 
					
						
							|  |  |  |   '97142617910342598647204516893989422179826088076852', | 
					
						
							|  |  |  |   '87783646182799346313767754307809363333018982642090', | 
					
						
							|  |  |  |   '10848802521674670883215120185883543223812876952786', | 
					
						
							|  |  |  |   '71329612474782464538636993009049310363619763878039', | 
					
						
							|  |  |  |   '62184073572399794223406235393808339651327408011116', | 
					
						
							|  |  |  |   '66627891981488087797941876876144230030984490851411', | 
					
						
							|  |  |  |   '60661826293682836764744779239180335110989069790714', | 
					
						
							|  |  |  |   '85786944089552990653640447425576083659976645795096', | 
					
						
							|  |  |  |   '66024396409905389607120198219976047599490197230297', | 
					
						
							|  |  |  |   '64913982680032973156037120041377903785566085089252', | 
					
						
							|  |  |  |   '16730939319872750275468906903707539413042652315011', | 
					
						
							|  |  |  |   '94809377245048795150954100921645863754710598436791', | 
					
						
							|  |  |  |   '78639167021187492431995700641917969777599028300699', | 
					
						
							|  |  |  |   '15368713711936614952811305876380278410754449733078', | 
					
						
							|  |  |  |   '40789923115535562561142322423255033685442488917353', | 
					
						
							|  |  |  |   '44889911501440648020369068063960672322193204149535', | 
					
						
							|  |  |  |   '41503128880339536053299340368006977710650566631954', | 
					
						
							|  |  |  |   '81234880673210146739058568557934581403627822703280', | 
					
						
							|  |  |  |   '82616570773948327592232845941706525094512325230608', | 
					
						
							|  |  |  |   '22918802058777319719839450180888072429661980811197', | 
					
						
							|  |  |  |   '77158542502016545090413245809786882778948721859617', | 
					
						
							|  |  |  |   '72107838435069186155435662884062257473692284509516', | 
					
						
							|  |  |  |   '20849603980134001723930671666823555245252804609722', | 
					
						
							|  |  |  |   '53503534226472524250874054075591789781264330331690' | 
					
						
							|  |  |  | ]; | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | const testNums = [ | 
					
						
							|  |  |  |   '37107287533902102798797998220837590246510135740250', | 
					
						
							|  |  |  |   '46376937677490009712648124896970078050417018260538' | 
					
						
							|  |  |  | ]; | 
					
						
							|  |  |  | ``` | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | </div> | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | </section> | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | ## Solution
 | 
					
						
							|  |  |  | <section id='solution'> | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | ```js | 
					
						
							|  |  |  | function largeSum(arr) { | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |   let sum = 0; | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |   arr.forEach(function(num) { | 
					
						
							|  |  |  |     sum += parseInt(num, 10); | 
					
						
							|  |  |  |   }); | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |   sum = sum.toString(10); | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |   sum = sum.substr(0, 1) + sum.substr(2); | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |   let firstTen = sum.slice(0, 10); | 
					
						
							|  |  |  |   return parseInt(firstTen, 10); | 
					
						
							|  |  |  | } | 
					
						
							|  |  |  | ``` | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | </section> |