일 | 월 | 화 | 수 | 목 | 금 | 토 |
---|---|---|---|---|---|---|
1 | ||||||
2 | 3 | 4 | 5 | 6 | 7 | 8 |
9 | 10 | 11 | 12 | 13 | 14 | 15 |
16 | 17 | 18 | 19 | 20 | 21 | 22 |
23 | 24 | 25 | 26 | 27 | 28 |
- 프랙탈
- 작도
- 정오각형
- 몬테카를로
- 파이썬
- 큰수의법칙
- 이항분포
- 블록코딩
- python
- 리만합
- algeomath
- java
- 시뮬레이션
- counting sunday
- project euler
- 상합
- 큰 수의 법칙
- 알지오매스
- 제곱근의뜻
- 확률실험
- 피타고라스 정리
- 하합
- 지오지브라
- 구분구적법
- 재귀함수
- 수학탐구
- Geogebra
- 삼각함수의그래프
- 프로젝트 오일러
- 오일러
- Today
- Total
이경수 선생님의 수학실험실
Problem 8(Largest product in a series) 본문
Problem 8(Largest product in a series)
The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832.
73167176531330624919225119674426574742355349194934
96983520312774506326239578318016984801869478851843
85861560789112949495459501737958331952853208805511
12540698747158523863050715693290963295227443043557
66896648950445244523161731856403098711121722383113
62229893423380308135336276614282806444486645238749
30358907296290491560440772390713810515859307960866
70172427121883998797908792274921901699720888093776
65727333001053367881220235421809751254540594752243
52584907711670556013604839586446706324415722155397
53697817977846174064955149290862569321978468622482
83972241375657056057490261407972968652414535100474
82166370484403199890008895243450658541227588666881
16427171479924442928230863465674813919123162824586
17866458359124566529476545682848912883142607690042
24219022671055626321111109370544217506941658960408
07198403850962455444362981230987879927244284909188
84580156166097919133875499200524063689912560717606
05886116467109405077541002256983155200055935729725
71636269561882670428252483600823257530420752963450
Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product?
In Python:
arr=[]
arr=str('73167176531330624919225119674426574742355349194934'
'96983520312774506326239578318016984801869478851843'
'85861560789112949495459501737958331952853208805511'
'12540698747158523863050715693290963295227443043557'
'66896648950445244523161731856403098711121722383113'
'62229893423380308135336276614282806444486645238749'
'30358907296290491560440772390713810515859307960866'
'70172427121883998797908792274921901699720888093776'
'65727333001053367881220235421809751254540594752243'
'52584907711670556013604839586446706324415722155397'
'53697817977846174064955149290862569321978468622482'
'83972241375657056057490261407972968652414535100474'
'82166370484403199890008895243450658541227588666881'
'16427171479924442928230863465674813919123162824586'
'17866458359124566529476545682848912883142607690042'
'24219022671055626321111109370544217506941658960408'
'07198403850962455444362981230987879927244284909188'
'84580156166097919133875499200524063689912560717606'
'05886116467109405077541002256983155200055935729725'
'71636269561882670428252483600823257530420752963450')
multiple=1
for i in range(0,987):
temp=1
for j in range(0,13):
temp = temp * int(arr[i+j])
if temp > multiple:
multiple = temp
print(multiple)
Run time: 0.008214235305786133 seconds
In Java:
// Euler8 Largest product in a series
package project_euler;
import java.io.BufferedReader;
import java.io.FileReader;
import java.io.IOException;
public class Euler8 {
public static String readFile() throws IOException {
String numString = "";
//stream
BufferedReader numbers = new BufferedReader (new FileReader("./Euler8_number.txt"));
while (true) {
String line = numbers.readLine();
if (line == null) break;
numString += line;
}
numbers.close();
return numString;
}
public static void main(String[] args) throws IOException {
long startTime = System.currentTimeMillis();
String numString = readFile();
int num = 0;
double maxProduct = 0;
double product = 1;
for (int i = 0; i < numString.length() - 12; i++) {
for (int j = 0; j < 13; j++) {
num = Integer.parseInt(numString.substring(i + j, i + j + 1));
product *= num;
}
if (product > maxProduct) {
maxProduct = product;
}
product = 1;
}
System.out.println(maxProduct);
long endTime = System.currentTimeMillis();
System.out.println((double)(endTime - startTime)/(double)1000 + "seconds");
}
}
Run time: 0.014seconds
solution: 23514624000
[from Project Euler: https://projecteuler.net/problem=8]
'Project Euler' 카테고리의 다른 글
Problem 10(Summation of primes) (0) | 2019.02.09 |
---|---|
Problem 9(Special Pythagorean triplet) (0) | 2019.02.09 |
Problem 7(10001st prime) (0) | 2019.02.08 |
Problem 6(Sum square difference) (0) | 2019.02.08 |
Problem 5(Smallest multiple) (0) | 2019.02.08 |