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Added solution to problem 13
This commit is contained in:
@@ -36,11 +36,12 @@ import { Problem9 } from "./Problems/Problem9";
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import { Problem10 } from "./Problems/Problem10";
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import { Problem11 } from "./Problems/Problem11";
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import { Problem12 } from "./Problems/Problem12";
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import { Problem13 } from "./Problems/Problem13";
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export class ProblemSelection{
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//Holds the valid problem numbers
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public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12];
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public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13];
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//Returns the problem corresponding to the given problem number
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public static getProblem(problemNumber: number): Problem{
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@@ -58,6 +59,7 @@ export class ProblemSelection{
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case 10: problem = new Problem10(); break;
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case 11: problem = new Problem11(); break;
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case 12: problem = new Problem12(); break;
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case 13: problem = new Problem13(); break;
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}
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return problem;
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}
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300
Problems/Problem13.ts
Normal file
300
Problems/Problem13.ts
Normal file
@@ -0,0 +1,300 @@
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//ProjectEulerTS/Problems/Problem13.ts
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//Matthew Ellison
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// Created: 03-26-21
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//Modified: 03-26-21
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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
|
||||
46376937677490009712648124896970078050417018260538
|
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74324986199524741059474233309513058123726617309629
|
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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
|
||||
*/
|
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//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/typescriptClasses
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/*
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Copyright (C) 2021 Matthew Ellison
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|
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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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||||
|
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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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|
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You should have received a copy of the GNU Lesser General Public License
|
||||
along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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import { Problem } from "./Problem";
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import { Unsolved } from "../Unsolved";
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import { getSumBig } from "../../../Typescript/typescriptClasses/Algorithms";
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export class Problem13 extends Problem{
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//Variables
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//Static variables
|
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private static nums: bigint[] = [37107287533902102798797998220837590246510135740250n, //Holds the numbers that are being summed
|
||||
46376937677490009712648124896970078050417018260538n,
|
||||
74324986199524741059474233309513058123726617309629n,
|
||||
91942213363574161572522430563301811072406154908250n,
|
||||
23067588207539346171171980310421047513778063246676n,
|
||||
89261670696623633820136378418383684178734361726757n,
|
||||
28112879812849979408065481931592621691275889832738n,
|
||||
44274228917432520321923589422876796487670272189318n,
|
||||
47451445736001306439091167216856844588711603153276n,
|
||||
70386486105843025439939619828917593665686757934951n,
|
||||
62176457141856560629502157223196586755079324193331n,
|
||||
64906352462741904929101432445813822663347944758178n,
|
||||
92575867718337217661963751590579239728245598838407n,
|
||||
58203565325359399008402633568948830189458628227828n,
|
||||
80181199384826282014278194139940567587151170094390n,
|
||||
35398664372827112653829987240784473053190104293586n,
|
||||
86515506006295864861532075273371959191420517255829n,
|
||||
71693888707715466499115593487603532921714970056938n,
|
||||
54370070576826684624621495650076471787294438377604n,
|
||||
53282654108756828443191190634694037855217779295145n,
|
||||
36123272525000296071075082563815656710885258350721n,
|
||||
45876576172410976447339110607218265236877223636045n,
|
||||
17423706905851860660448207621209813287860733969412n,
|
||||
81142660418086830619328460811191061556940512689692n,
|
||||
51934325451728388641918047049293215058642563049483n,
|
||||
62467221648435076201727918039944693004732956340691n,
|
||||
15732444386908125794514089057706229429197107928209n,
|
||||
55037687525678773091862540744969844508330393682126n,
|
||||
18336384825330154686196124348767681297534375946515n,
|
||||
80386287592878490201521685554828717201219257766954n,
|
||||
78182833757993103614740356856449095527097864797581n,
|
||||
16726320100436897842553539920931837441497806860984n,
|
||||
48403098129077791799088218795327364475675590848030n,
|
||||
87086987551392711854517078544161852424320693150332n,
|
||||
59959406895756536782107074926966537676326235447210n,
|
||||
69793950679652694742597709739166693763042633987085n,
|
||||
41052684708299085211399427365734116182760315001271n,
|
||||
65378607361501080857009149939512557028198746004375n,
|
||||
35829035317434717326932123578154982629742552737307n,
|
||||
94953759765105305946966067683156574377167401875275n,
|
||||
88902802571733229619176668713819931811048770190271n,
|
||||
25267680276078003013678680992525463401061632866526n,
|
||||
36270218540497705585629946580636237993140746255962n,
|
||||
24074486908231174977792365466257246923322810917141n,
|
||||
91430288197103288597806669760892938638285025333403n,
|
||||
34413065578016127815921815005561868836468420090470n,
|
||||
23053081172816430487623791969842487255036638784583n,
|
||||
11487696932154902810424020138335124462181441773470n,
|
||||
63783299490636259666498587618221225225512486764533n,
|
||||
67720186971698544312419572409913959008952310058822n,
|
||||
95548255300263520781532296796249481641953868218774n,
|
||||
76085327132285723110424803456124867697064507995236n,
|
||||
37774242535411291684276865538926205024910326572967n,
|
||||
23701913275725675285653248258265463092207058596522n,
|
||||
29798860272258331913126375147341994889534765745501n,
|
||||
18495701454879288984856827726077713721403798879715n,
|
||||
38298203783031473527721580348144513491373226651381n,
|
||||
34829543829199918180278916522431027392251122869539n,
|
||||
40957953066405232632538044100059654939159879593635n,
|
||||
29746152185502371307642255121183693803580388584903n,
|
||||
41698116222072977186158236678424689157993532961922n,
|
||||
62467957194401269043877107275048102390895523597457n,
|
||||
23189706772547915061505504953922979530901129967519n,
|
||||
86188088225875314529584099251203829009407770775672n,
|
||||
11306739708304724483816533873502340845647058077308n,
|
||||
82959174767140363198008187129011875491310547126581n,
|
||||
97623331044818386269515456334926366572897563400500n,
|
||||
42846280183517070527831839425882145521227251250327n,
|
||||
55121603546981200581762165212827652751691296897789n,
|
||||
32238195734329339946437501907836945765883352399886n,
|
||||
75506164965184775180738168837861091527357929701337n,
|
||||
62177842752192623401942399639168044983993173312731n,
|
||||
32924185707147349566916674687634660915035914677504n,
|
||||
99518671430235219628894890102423325116913619626622n,
|
||||
73267460800591547471830798392868535206946944540724n,
|
||||
76841822524674417161514036427982273348055556214818n,
|
||||
97142617910342598647204516893989422179826088076852n,
|
||||
87783646182799346313767754307809363333018982642090n,
|
||||
10848802521674670883215120185883543223812876952786n,
|
||||
71329612474782464538636993009049310363619763878039n,
|
||||
62184073572399794223406235393808339651327408011116n,
|
||||
66627891981488087797941876876144230030984490851411n,
|
||||
60661826293682836764744779239180335110989069790714n,
|
||||
85786944089552990653640447425576083659976645795096n,
|
||||
66024396409905389607120198219976047599490197230297n,
|
||||
64913982680032973156037120041377903785566085089252n,
|
||||
16730939319872750275468906903707539413042652315011n,
|
||||
94809377245048795150954100921645863754710598436791n,
|
||||
78639167021187492431995700641917969777599028300699n,
|
||||
15368713711936614952811305876380278410754449733078n,
|
||||
40789923115535562561142322423255033685442488917353n,
|
||||
44889911501440648020369068063960672322193204149535n,
|
||||
41503128880339536053299340368006977710650566631954n,
|
||||
81234880673210146739058568557934581403627822703280n,
|
||||
82616570773948327592232845941706525094512325230608n,
|
||||
22918802058777319719839450180888072429661980811197n,
|
||||
77158542502016545090413245809786882778948721859617n,
|
||||
72107838435069186155435662884062257473692284509516n,
|
||||
20849603980134001723930671666823555245252804609722n,
|
||||
53503534226472524250874054075591789781264330331690n];
|
||||
//Instance variables
|
||||
private sum: bigint; //The sum of all the numbers
|
||||
|
||||
//Functions
|
||||
//Constructor
|
||||
public constructor(){
|
||||
super("Work out the first ten digits of the sum of the one-hundred 50-divit number");
|
||||
this.sum = 0n;
|
||||
}
|
||||
//Operational functions
|
||||
//Solve the problem
|
||||
public solve(): void{
|
||||
//If the problem has already been solved do nothing and end the function
|
||||
if(this.solved){
|
||||
return;
|
||||
}
|
||||
|
||||
//Start the timer
|
||||
this.timer.start();
|
||||
|
||||
//Get the sum of all the numbers
|
||||
this.sum = getSumBig(Problem13.nums);
|
||||
|
||||
//Stop the timer
|
||||
this.timer.stop();
|
||||
|
||||
//Throw a flag to show the problem is solved
|
||||
this.solved = true;
|
||||
}
|
||||
//Reset the problem so it can be run again
|
||||
public reset(): void{
|
||||
super.reset();
|
||||
this.sum = 0n;
|
||||
}
|
||||
//Gets
|
||||
//Returns the result of solving the problem
|
||||
public getResult(): string{
|
||||
//If the problem hasn't been solved throw an exception
|
||||
if(!this.solved){
|
||||
throw new Unsolved();
|
||||
}
|
||||
return `The sum of all ${Problem13.nums.length} numbers is ${this.sum}\nThe first 10 digits of the sum of the numbers is ${this.sum.toString().substr(0, 10)}`;
|
||||
}
|
||||
//Returns the list of 50-digit numbers
|
||||
public getNumbers(): bigint[]{
|
||||
//If the problem hasn't been solved throw an exception
|
||||
if(!this.solved){
|
||||
throw new Unsolved();
|
||||
}
|
||||
return Problem13.nums;
|
||||
}
|
||||
//Returns the sum of the 50-digit numbers
|
||||
public getSum(): bigint{
|
||||
//If the problem hasn't been solved throw an exception
|
||||
if(!this.solved){
|
||||
throw new Unsolved();
|
||||
}
|
||||
return this.sum;
|
||||
}
|
||||
}
|
||||
|
||||
/* Results:
|
||||
The sum of all 100 numbers is 5537376230390876637302048746832985971773659831892672
|
||||
The first 10 digits of the sum of the numbers is 5537376230
|
||||
It took an average of 4.222 microseconds to run this problem through 100 iterations
|
||||
*/
|
||||
Reference in New Issue
Block a user