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296 lines
14 KiB
C++
296 lines
14 KiB
C++
//ProjectEuler/C++/Source/Problem13.cpp
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//Matthew Ellison
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// Created: 09-29-18
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//Modified: 07-14-19
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//Work out the first ten digits of the sum of the following one-hundred 50-digit numbers
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/*
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37107287533902102798797998220837590246510135740250
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46376937677490009712648124896970078050417018260538
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74324986199524741059474233309513058123726617309629
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91942213363574161572522430563301811072406154908250
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23067588207539346171171980310421047513778063246676
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89261670696623633820136378418383684178734361726757
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28112879812849979408065481931592621691275889832738
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44274228917432520321923589422876796487670272189318
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47451445736001306439091167216856844588711603153276
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70386486105843025439939619828917593665686757934951
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62176457141856560629502157223196586755079324193331
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64906352462741904929101432445813822663347944758178
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92575867718337217661963751590579239728245598838407
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58203565325359399008402633568948830189458628227828
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80181199384826282014278194139940567587151170094390
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35398664372827112653829987240784473053190104293586
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86515506006295864861532075273371959191420517255829
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71693888707715466499115593487603532921714970056938
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54370070576826684624621495650076471787294438377604
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53282654108756828443191190634694037855217779295145
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36123272525000296071075082563815656710885258350721
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45876576172410976447339110607218265236877223636045
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17423706905851860660448207621209813287860733969412
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81142660418086830619328460811191061556940512689692
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51934325451728388641918047049293215058642563049483
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62467221648435076201727918039944693004732956340691
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15732444386908125794514089057706229429197107928209
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55037687525678773091862540744969844508330393682126
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18336384825330154686196124348767681297534375946515
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80386287592878490201521685554828717201219257766954
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78182833757993103614740356856449095527097864797581
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16726320100436897842553539920931837441497806860984
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48403098129077791799088218795327364475675590848030
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87086987551392711854517078544161852424320693150332
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59959406895756536782107074926966537676326235447210
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69793950679652694742597709739166693763042633987085
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41052684708299085211399427365734116182760315001271
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65378607361501080857009149939512557028198746004375
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35829035317434717326932123578154982629742552737307
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94953759765105305946966067683156574377167401875275
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88902802571733229619176668713819931811048770190271
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25267680276078003013678680992525463401061632866526
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36270218540497705585629946580636237993140746255962
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24074486908231174977792365466257246923322810917141
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91430288197103288597806669760892938638285025333403
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34413065578016127815921815005561868836468420090470
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23053081172816430487623791969842487255036638784583
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11487696932154902810424020138335124462181441773470
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63783299490636259666498587618221225225512486764533
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67720186971698544312419572409913959008952310058822
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95548255300263520781532296796249481641953868218774
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76085327132285723110424803456124867697064507995236
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37774242535411291684276865538926205024910326572967
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23701913275725675285653248258265463092207058596522
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29798860272258331913126375147341994889534765745501
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18495701454879288984856827726077713721403798879715
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38298203783031473527721580348144513491373226651381
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34829543829199918180278916522431027392251122869539
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40957953066405232632538044100059654939159879593635
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29746152185502371307642255121183693803580388584903
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41698116222072977186158236678424689157993532961922
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62467957194401269043877107275048102390895523597457
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23189706772547915061505504953922979530901129967519
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86188088225875314529584099251203829009407770775672
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11306739708304724483816533873502340845647058077308
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82959174767140363198008187129011875491310547126581
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97623331044818386269515456334926366572897563400500
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42846280183517070527831839425882145521227251250327
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55121603546981200581762165212827652751691296897789
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32238195734329339946437501907836945765883352399886
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75506164965184775180738168837861091527357929701337
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62177842752192623401942399639168044983993173312731
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32924185707147349566916674687634660915035914677504
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99518671430235219628894890102423325116913619626622
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73267460800591547471830798392868535206946944540724
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76841822524674417161514036427982273348055556214818
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97142617910342598647204516893989422179826088076852
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87783646182799346313767754307809363333018982642090
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10848802521674670883215120185883543223812876952786
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71329612474782464538636993009049310363619763878039
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62184073572399794223406235393808339651327408011116
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66627891981488087797941876876144230030984490851411
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60661826293682836764744779239180335110989069790714
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85786944089552990653640447425576083659976645795096
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66024396409905389607120198219976047599490197230297
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64913982680032973156037120041377903785566085089252
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16730939319872750275468906903707539413042652315011
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94809377245048795150954100921645863754710598436791
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78639167021187492431995700641917969777599028300699
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15368713711936614952811305876380278410754449733078
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40789923115535562561142322423255033685442488917353
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44889911501440648020369068063960672322193204149535
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41503128880339536053299340368006977710650566631954
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81234880673210146739058568557934581403627822703280
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82616570773948327592232845941706525094512325230608
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22918802058777319719839450180888072429661980811197
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77158542502016545090413245809786882778948721859617
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72107838435069186155435662884062257473692284509516
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20849603980134001723930671666823555245252804609722
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53503534226472524250874054075591789781264330331690
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*/
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//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/myClasses
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//This file contains a header from the gmp library. The library is used for large integers.
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//You can find more information about them at https://gmplib.org/
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//When compiling this file you need to have the gmp library installed as well as linking the libraries to your executable using the -lgmpxx and -lgmp flags
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/*
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Copyright (C) 2019 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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#include <cinttypes>
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#include <vector>
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#include <string>
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#include <sstream>
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#include "gmpxx.h" //This is part of the gmp library
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#include "Stopwatch.hpp"
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#include "Algorithms.hpp"
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#include "../Headers/Problem.hpp"
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#include "../Headers/Problem13.hpp"
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std::vector<mpz_class> Problem13::nums;
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Problem13::Problem13() : Problem("Work out the first ten digits of the sum of the one-hundred 50-digit numbers"), sum(0){
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//Make sure the vector is the correct size
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nums.reserve(100);
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nums.resize(100);
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//Set the numbers
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nums[0] = "37107287533902102798797998220837590246510135740250";
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nums[1] = "46376937677490009712648124896970078050417018260538";
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nums[2] = "74324986199524741059474233309513058123726617309629";
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nums[3] = "91942213363574161572522430563301811072406154908250";
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nums[4] = "23067588207539346171171980310421047513778063246676";
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nums[5] = "89261670696623633820136378418383684178734361726757";
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nums[6] = "28112879812849979408065481931592621691275889832738";
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nums[7] = "44274228917432520321923589422876796487670272189318";
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nums[8] = "47451445736001306439091167216856844588711603153276";
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nums[9] = "70386486105843025439939619828917593665686757934951";
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nums[10] = "62176457141856560629502157223196586755079324193331";
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nums[11] = "64906352462741904929101432445813822663347944758178";
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nums[12] = "92575867718337217661963751590579239728245598838407";
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nums[13] = "58203565325359399008402633568948830189458628227828";
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nums[14] = "80181199384826282014278194139940567587151170094390";
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nums[15] = "35398664372827112653829987240784473053190104293586";
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nums[16] = "86515506006295864861532075273371959191420517255829";
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nums[17] = "71693888707715466499115593487603532921714970056938";
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nums[18] = "54370070576826684624621495650076471787294438377604";
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nums[19] = "53282654108756828443191190634694037855217779295145";
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nums[20] = "36123272525000296071075082563815656710885258350721";
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nums[21] = "45876576172410976447339110607218265236877223636045";
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nums[22] = "17423706905851860660448207621209813287860733969412";
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nums[23] = "81142660418086830619328460811191061556940512689692";
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nums[24] = "51934325451728388641918047049293215058642563049483";
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nums[25] = "62467221648435076201727918039944693004732956340691";
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nums[26] = "15732444386908125794514089057706229429197107928209";
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nums[27] = "55037687525678773091862540744969844508330393682126";
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nums[28] = "18336384825330154686196124348767681297534375946515";
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nums[29] = "80386287592878490201521685554828717201219257766954";
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nums[30] = "78182833757993103614740356856449095527097864797581";
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nums[31] = "16726320100436897842553539920931837441497806860984";
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nums[32] = "48403098129077791799088218795327364475675590848030";
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nums[33] = "87086987551392711854517078544161852424320693150332";
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nums[34] = "59959406895756536782107074926966537676326235447210";
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nums[35] = "69793950679652694742597709739166693763042633987085";
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nums[36] = "41052684708299085211399427365734116182760315001271";
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nums[37] = "65378607361501080857009149939512557028198746004375";
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nums[38] = "35829035317434717326932123578154982629742552737307";
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nums[39] = "94953759765105305946966067683156574377167401875275";
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nums[40] = "88902802571733229619176668713819931811048770190271";
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nums[41] = "25267680276078003013678680992525463401061632866526";
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nums[42] = "36270218540497705585629946580636237993140746255962";
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nums[43] = "24074486908231174977792365466257246923322810917141";
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nums[44] = "91430288197103288597806669760892938638285025333403";
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nums[45] = "34413065578016127815921815005561868836468420090470";
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nums[46] = "23053081172816430487623791969842487255036638784583";
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nums[47] = "11487696932154902810424020138335124462181441773470";
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nums[48] = "63783299490636259666498587618221225225512486764533";
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nums[49] = "67720186971698544312419572409913959008952310058822";
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nums[50] = "95548255300263520781532296796249481641953868218774";
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nums[51] = "76085327132285723110424803456124867697064507995236";
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nums[52] = "37774242535411291684276865538926205024910326572967";
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nums[53] = "23701913275725675285653248258265463092207058596522";
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nums[54] = "29798860272258331913126375147341994889534765745501";
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nums[55] = "18495701454879288984856827726077713721403798879715";
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nums[56] = "38298203783031473527721580348144513491373226651381";
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nums[57] = "34829543829199918180278916522431027392251122869539";
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nums[58] = "40957953066405232632538044100059654939159879593635";
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nums[59] = "29746152185502371307642255121183693803580388584903";
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nums[60] = "41698116222072977186158236678424689157993532961922";
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nums[61] = "62467957194401269043877107275048102390895523597457";
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nums[62] = "23189706772547915061505504953922979530901129967519";
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nums[63] = "86188088225875314529584099251203829009407770775672";
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nums[64] = "11306739708304724483816533873502340845647058077308";
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nums[65] = "82959174767140363198008187129011875491310547126581";
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nums[66] = "97623331044818386269515456334926366572897563400500";
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nums[67] = "42846280183517070527831839425882145521227251250327";
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nums[68] = "55121603546981200581762165212827652751691296897789";
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nums[69] = "32238195734329339946437501907836945765883352399886";
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nums[70] = "75506164965184775180738168837861091527357929701337";
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nums[71] = "62177842752192623401942399639168044983993173312731";
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nums[72] = "32924185707147349566916674687634660915035914677504";
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nums[73] = "99518671430235219628894890102423325116913619626622";
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nums[74] = "73267460800591547471830798392868535206946944540724";
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nums[75] = "76841822524674417161514036427982273348055556214818";
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nums[76] = "97142617910342598647204516893989422179826088076852";
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nums[77] = "87783646182799346313767754307809363333018982642090";
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nums[78] = "10848802521674670883215120185883543223812876952786";
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nums[79] = "71329612474782464538636993009049310363619763878039";
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nums[80] = "62184073572399794223406235393808339651327408011116";
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nums[81] = "66627891981488087797941876876144230030984490851411";
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nums[82] = "60661826293682836764744779239180335110989069790714";
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nums[83] = "85786944089552990653640447425576083659976645795096";
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nums[84] = "66024396409905389607120198219976047599490197230297";
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nums[85] = "64913982680032973156037120041377903785566085089252";
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nums[86] = "16730939319872750275468906903707539413042652315011";
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nums[87] = "94809377245048795150954100921645863754710598436791";
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nums[88] = "78639167021187492431995700641917969777599028300699";
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nums[89] = "15368713711936614952811305876380278410754449733078";
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nums[90] = "40789923115535562561142322423255033685442488917353";
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nums[91] = "44889911501440648020369068063960672322193204149535";
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nums[92] = "41503128880339536053299340368006977710650566631954";
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nums[93] = "81234880673210146739058568557934581403627822703280";
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nums[94] = "82616570773948327592232845941706525094512325230608";
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nums[95] = "22918802058777319719839450180888072429661980811197";
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nums[96] = "77158542502016545090413245809786882778948721859617";
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nums[97] = "72107838435069186155435662884062257473692284509516";
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nums[98] = "20849603980134001723930671666823555245252804609722";
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nums[99] = "53503534226472524250874054075591789781264330331690";
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}
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void Problem13::solve(){
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//If the problem has already been solved do nothing and end the function
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if(solved){
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return;
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}
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//Start the timer
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timer.start();
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//Get the sum of all the numbers
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sum = mee::getSum(nums);
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//Stop the timer
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timer.stop();
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//Throw a flag to show the problem is solved
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solved = true;
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}
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std::string Problem13::getString() const{
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//If the problem hasn't been solved throw an exception
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if(!solved){
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throw unsolved();
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}
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std::stringstream results;
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results << "The sum of all " << nums.size() << " numbers is " << sum
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<< "\nThe first 10 digits of the sum of the numbers is " << sum.get_str().substr(0, 10);
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return results.str();
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}
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std::vector<mpz_class> Problem13::getNumbers() const{
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//If the problem hasn't been solved throw an exception
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if(!solved){
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throw unsolved();
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}
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return nums;
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}
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mpz_class Problem13::getSum() const{
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//If the problem hasn't been solved throw an exception
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if(!solved){
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throw unsolved();
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}
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return sum;
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}
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