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  1. /************************************************
  2. Programmer : Muhammad Azri bin Jasni @ Abdul Rani
  3. Program    : project euler problem 13_2.cpp
  4. Link       : http://projecteuler.net/problem=13
  5. Description: Work out the first ten digits of the sum of the following one-hundred 50-digit numbers.
  6. Note       : Using addTwoBigNum function though I didn\'t completely understand it
  7. *************************************************
  8. I couldn\'t check as soon as I made the last codes, so I don\'t know it was wrong. I am really pathetic.
  9. So, make simple addition of big number would be the easiest. let\'s see. Alright, this feel cheating. Pathetic. =_=
  10. I forgot to copy the link, but this function is a copy of someone\'s program in the cplusplus forum.
  11.  
  12. g? =_= God, I am pulling my hair now. I\'m guess there\'s a bug, or limit to string. According to my reading,
  13. it may be limitation of the operating system or memory.
  14. */
  15. #include <iostream>
  16. #include <string>
  17. using namespace std;
  18.  
  19. string addTwoBigNum(string numStr1, string numStr2);
  20.  
  21. int main()
  22. {
  23.     string strNumber[] = //the lazy first storage
  24.     {
  25.     "37107287533902102798797998220837590246510135740250",
  26.     "46376937677490009712648124896970078050417018260538",
  27.     "74324986199524741059474233309513058123726617309629",
  28.     "91942213363574161572522430563301811072406154908250",
  29.     "23067588207539346171171980310421047513778063246676",
  30.     "89261670696623633820136378418383684178734361726757",
  31.     "28112879812849979408065481931592621691275889832738",
  32.     "44274228917432520321923589422876796487670272189318",
  33.     "47451445736001306439091167216856844588711603153276",
  34.     "70386486105843025439939619828917593665686757934951",
  35.     "62176457141856560629502157223196586755079324193331",
  36.     "64906352462741904929101432445813822663347944758178",
  37.     "92575867718337217661963751590579239728245598838407",
  38.     "58203565325359399008402633568948830189458628227828",
  39.     "80181199384826282014278194139940567587151170094390",
  40.     "35398664372827112653829987240784473053190104293586",
  41.     "86515506006295864861532075273371959191420517255829",
  42.     "71693888707715466499115593487603532921714970056938",
  43.     "54370070576826684624621495650076471787294438377604",
  44.     "53282654108756828443191190634694037855217779295145",
  45.     "36123272525000296071075082563815656710885258350721",
  46.     "45876576172410976447339110607218265236877223636045",
  47.     "17423706905851860660448207621209813287860733969412",
  48.     "81142660418086830619328460811191061556940512689692",
  49.     "51934325451728388641918047049293215058642563049483",
  50.     "62467221648435076201727918039944693004732956340691",
  51.     "15732444386908125794514089057706229429197107928209",
  52.     "55037687525678773091862540744969844508330393682126",
  53.     "18336384825330154686196124348767681297534375946515",
  54.     "80386287592878490201521685554828717201219257766954",
  55.     "78182833757993103614740356856449095527097864797581",
  56.     "16726320100436897842553539920931837441497806860984",
  57.     "48403098129077791799088218795327364475675590848030",
  58.     "87086987551392711854517078544161852424320693150332",
  59.     "59959406895756536782107074926966537676326235447210",
  60.     "69793950679652694742597709739166693763042633987085",
  61.     "41052684708299085211399427365734116182760315001271",
  62.     "65378607361501080857009149939512557028198746004375",
  63.     "35829035317434717326932123578154982629742552737307",
  64.     "94953759765105305946966067683156574377167401875275",
  65.     "88902802571733229619176668713819931811048770190271",
  66.     "25267680276078003013678680992525463401061632866526",
  67.     "36270218540497705585629946580636237993140746255962",
  68.     "24074486908231174977792365466257246923322810917141",
  69.     "91430288197103288597806669760892938638285025333403",
  70.     "34413065578016127815921815005561868836468420090470",
  71.     "23053081172816430487623791969842487255036638784583",
  72.     "11487696932154902810424020138335124462181441773470",
  73.     "63783299490636259666498587618221225225512486764533",
  74.     "67720186971698544312419572409913959008952310058822",
  75.     "95548255300263520781532296796249481641953868218774",
  76.     "76085327132285723110424803456124867697064507995236",
  77.     "37774242535411291684276865538926205024910326572967",
  78.     "23701913275725675285653248258265463092207058596522",
  79.     "29798860272258331913126375147341994889534765745501",
  80.     "18495701454879288984856827726077713721403798879715",
  81.     "38298203783031473527721580348144513491373226651381",
  82.     "34829543829199918180278916522431027392251122869539",
  83.     "40957953066405232632538044100059654939159879593635",
  84.     "29746152185502371307642255121183693803580388584903",
  85.     "41698116222072977186158236678424689157993532961922",
  86.     "62467957194401269043877107275048102390895523597457",
  87.     "23189706772547915061505504953922979530901129967519",
  88.     "86188088225875314529584099251203829009407770775672",
  89.     "11306739708304724483816533873502340845647058077308",
  90.     "82959174767140363198008187129011875491310547126581",
  91.     "97623331044818386269515456334926366572897563400500",
  92.     "42846280183517070527831839425882145521227251250327",
  93.     "55121603546981200581762165212827652751691296897789",
  94.     "32238195734329339946437501907836945765883352399886",
  95.     "75506164965184775180738168837861091527357929701337",
  96.     "62177842752192623401942399639168044983993173312731",
  97.     "32924185707147349566916674687634660915035914677504",
  98.     "99518671430235219628894890102423325116913619626622",
  99.     "73267460800591547471830798392868535206946944540724",
  100.     "76841822524674417161514036427982273348055556214818",
  101.     "97142617910342598647204516893989422179826088076852",
  102.     "87783646182799346313767754307809363333018982642090",
  103.     "10848802521674670883215120185883543223812876952786",
  104.     "71329612474782464538636993009049310363619763878039",
  105.     "62184073572399794223406235393808339651327408011116",
  106.     "66627891981488087797941876876144230030984490851411",
  107.     "60661826293682836764744779239180335110989069790714",
  108.     "85786944089552990653640447425576083659976645795096",
  109.     "66024396409905389607120198219976047599490197230297",
  110.     "64913982680032973156037120041377903785566085089252",
  111.     "16730939319872750275468906903707539413042652315011",
  112.     "94809377245048795150954100921645863754710598436791",
  113.     "78639167021187492431995700641917969777599028300699",
  114.     "15368713711936614952811305876380278410754449733078",
  115.     "40789923115535562561142322423255033685442488917353",
  116.     "44889911501440648020369068063960672322193204149535",
  117.     "41503128880339536053299340368006977710650566631954",
  118.     "81234880673210146739058568557934581403627822703280",
  119.     "82616570773948327592232845941706525094512325230608",
  120.     "22918802058777319719839450180888072429661980811197",
  121.     "77158542502016545090413245809786882778948721859617",
  122.     "72107838435069186155435662884062257473692284509516",
  123.     "20849603980134001723930671666823555245252804609722",
  124.     "53503534226472524250874054075591789781264330331690"
  125.     };
  126.     string sumStr = strNumber[0];
  127.     for (int i=1;i<100;i++)
  128.     {
  129.         sumStr = addTwoBigNum(sumStr,strNumber[i]);
  130.         //cout << sumStr << endl;;
  131.     }
  132.     //sumStr= addTwoBigNum("20849603980134001723930671666823555245252804609722",    "53503534226472524250874054075591789781264330331690");
  133.     cout << sumStr << endl;
  134.     cin.get();
  135.     return 0;
  136. }
  137. string addTwoBigNum(string numStr1, string numStr2)
  138. {  
  139.     // keeping track of which string is longest using references
  140.     string& rLongStr = numStr1.length() > numStr2.length() ? numStr1 : numStr2;
  141.     string& rShortStr = numStr1.length() <= numStr2.length() ? numStr1 : numStr2;
  142.  
  143.     // initialize the sum with the long string but with space for a final carry at the beginning
  144.     string numStrSum = "0" + rLongStr;// the \'0\' in case of a final carry
  145.  
  146.     // must go through the strings backwards since the least
  147.     // significant digit is at the end, not the beginning.
  148.     string::reverse_iterator r_itShort, r_itSum;
  149.     r_itShort = rShortStr.rbegin();// point to last "digit" in the short string
  150.     r_itSum = numStrSum.rbegin();// same for sum string
  151.  
  152.     // add the "digits" one by one from end to beginning of the short string
  153.     while( r_itShort != rShortStr.rend() )
  154.     {
  155.         *r_itSum += *r_itShort - \'0\';// "add" the digits
  156.         if( *r_itSum > \'9\' )// must carry a one to the next "digit"
  157.         {
  158.             *(r_itSum + 1) += 1;
  159.             *r_itSum -= 10;
  160.         }
  161.         ++r_itShort;// move back 1 character
  162.         ++r_itSum;// in each string
  163.     }
  164.     while( numStrSum.at(0) == \'0\' )// if 1st character is stiil \'0\'
  165.         numStrSum.erase(0,1);// erase it
  166.  
  167.     // output result
  168.     return numStrSum;
  169. }
');