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?
What i did works and i get their answer for 4 digits, but with 13 digits it does not, and i do not understand how that can be.
is there a flaw i do not see atm?
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#include <iostream>
#include <string>
#include <vector>
using namespace std;
int main(int argc, char **argv)
{
string sequence{/*that sequence above8*/};
int mag{13};
vector<int> thirteenDigits{0,0,0,0,0,0,0,0,0,0,0,0,0};
vector<int> seqOfInts{thirteenDigits};
vector<int> maxSumSeq{thirteenDigits};
int sumNew{1};
int sumOld{0};
int maxSum{-1};
for(const char ch : sequence){
seqOfInts.push_back(ch-'0');
}
int n{0};
while(n<1000-mag){
sumNew=1;
for(int i=n;i<mag+n;i++){
thirteenDigits[i-n]=seqOfInts[i];
}
for(int j=0;j<mag;j++){
sumNew*=thirteenDigits[j];
}
if(sumNew>sumOld){
maxSum=sumNew;
sumOld=sumNew;
maxSumSeq=thirteenDigits;
n++;
} else n++;
}
cout<<"sum = "<<maxSum<<endl;
char ch;cout<<"enter E:";cin>>ch;
return 0;
}
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