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- /************************************************
- Programmer : Muhammad Azri bin Jasni @ Abdul Rani
- Program : project euler problem 13_2.cpp
- Link : http://projecteuler.net/problem=13
- Description: Work out the first ten digits of the sum of the following one-hundred 50-digit numbers.
- Note : Using addTwoBigNum function though I didn't completely understand it
- *************************************************
- I couldn't check as soon as I made the last codes, so I don't know it was wrong. I am really pathetic.
- So, make simple addition of big number would be the easiest. let's see. Alright, this feel cheating. Pathetic. =_=
- I forgot to copy the link, but this function is a copy of someone's program in the cplusplus forum.
- g? =_= God, I am pulling my hair now. I'm guess there's a bug, or limit to string. According to my reading,
- it may be limitation of the operating system or memory.
- */
- #include <iostream>
- #include <string>
- using namespace std;
- string addTwoBigNum(string numStr1, string numStr2);
- int main()
- {
- string strNumber[] = //the lazy first storage
- {
- "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"
- };
- string sumStr = strNumber[0];
- for (int i=1;i<100;i++)
- {
- sumStr = addTwoBigNum(sumStr,strNumber[i]);
- //cout << sumStr << endl;;
- }
- //sumStr= addTwoBigNum("20849603980134001723930671666823555245252804609722", "53503534226472524250874054075591789781264330331690");
- cout << sumStr << endl;
- cin.get();
- return 0;
- }
- string addTwoBigNum(string numStr1, string numStr2)
- {
- // keeping track of which string is longest using references
- string& rLongStr = numStr1.length() > numStr2.length() ? numStr1 : numStr2;
- string& rShortStr = numStr1.length() <= numStr2.length() ? numStr1 : numStr2;
- // initialize the sum with the long string but with space for a final carry at the beginning
- string numStrSum = "0" + rLongStr;// the '0' in case of a final carry
- // must go through the strings backwards since the least
- // significant digit is at the end, not the beginning.
- string::reverse_iterator r_itShort, r_itSum;
- r_itShort = rShortStr.rbegin();// point to last "digit" in the short string
- r_itSum = numStrSum.rbegin();// same for sum string
- // add the "digits" one by one from end to beginning of the short string
- while( r_itShort != rShortStr.rend() )
- {
- *r_itSum += *r_itShort - '0';// "add" the digits
- if( *r_itSum > '9' )// must carry a one to the next "digit"
- {
- *(r_itSum + 1) += 1;
- *r_itSum -= 10;
- }
- ++r_itShort;// move back 1 character
- ++r_itSum;// in each string
- }
- while( numStrSum.at(0) == '0' )// if 1st character is stiil '0'
- numStrSum.erase(0,1);// erase it
- // output result
- return numStrSum;
- }
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