Project Euler Problem 8: Solution in C++

/*

Largest product in a series

Find the greatest product of five consecutive digits in the 1000-digit number.

73167176531330624919225119674426574742355349194934
96983520312774506326239578318016984801869478851843
85861560789112949495459501737958331952853208805511
12540698747158523863050715693290963295227443043557
66896648950445244523161731856403098711121722383113
62229893423380308135336276614282806444486645238749
30358907296290491560440772390713810515859307960866
70172427121883998797908792274921901699720888093776
65727333001053367881220235421809751254540594752243
52584907711670556013604839586446706324415722155397
53697817977846174064955149290862569321978468622482
83972241375657056057490261407972968652414535100474
82166370484403199890008895243450658541227588666881
16427171479924442928230863465674813919123162824586
17866458359124566529476545682848912883142607690042
24219022671055626321111109370544217506941658960408
07198403850962455444362981230987879927244284909188
84580156166097919133875499200524063689912560717606
05886116467109405077541002256983155200055935729725
71636269561882670428252483600823257530420752963450
*/
#include<iostream>

using namespace std;

int main()
{
string s = “7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450”;
//cin >> s;
int max_prod = 1;
int ans_start = 0; // answer ie. 5 consecutive numbers starts at ans_start
for( int i = 0; i < 5; i++ )
{
max_prod *= static_cast(s[i]-‘0’);
}

int prod = max_prod;
for( int i = 5; i < s.size(); i++ )
{

if( static_cast(s[i-5]-‘0’) != 0 )
{
prod /= static_cast(s[i-5]-‘0’);
}
if( static_cast(s[i]-‘0’) == 0 )
{
clog << “skipped ” << “i = ” << i << ” s[i] = ” << s[i] << endl;
continue;
}
clog << “i = ” << i << ” s[i] = ” << s[i];
prod *= static_cast(s[i]-‘0’);
clog << ” prod = ” << prod << ” /= ” << static_cast(s[i-5]-‘0’) << ” *= ” << static_cast(s[i]-‘0’) << ” max_prod = ” << max_prod;
if( max_prod < prod )
{

ans_start = i-4;
max_prod = prod;
}
cout << ” ans_start = ” << ans_start << endl;
}

for( int i = ans_start; i < ans_start+5; i++ )
{
cout << s[i] << ” “;
}
cout << endl << max_prod << endl;
}

//    7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883
//    99879
//    7908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450

// ANSWER IS 40824

Published by

Sreejith

A strong believer of: 1. Knowledge is power 2. Progress comes from proper application of knowledge 3. Reverent attains wisdom 4. For one's own salvation, and for the welfare of the world

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