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February 10, 2026 17:47
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Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product?
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| #include <bits/stdc++.h> | |
| using namespace std; | |
| string num = "73167176531330624919225119674426574742355349194934\ | |
| 96983520312774506326239578318016984801869478851843\ | |
| 85861560789112949495459501737958331952853208805511\ | |
| 12540698747158523863050715693290963295227443043557\ | |
| 66896648950445244523161731856403098711121722383113\ | |
| 62229893423380308135336276614282806444486645238749\ | |
| 30358907296290491560440772390713810515859307960866\ | |
| 70172427121883998797908792274921901699720888093776\ | |
| 65727333001053367881220235421809751254540594752243\ | |
| 52584907711670556013604839586446706324415722155397\ | |
| 53697817977846174064955149290862569321978468622482\ | |
| 83972241375657056057490261407972968652414535100474\ | |
| 82166370484403199890008895243450658541227588666881\ | |
| 16427171479924442928230863465674813919123162824586\ | |
| 17866458359124566529476545682848912883142607690042\ | |
| 24219022671055626321111109370544217506941658960408\ | |
| 07198403850962455444362981230987879927244284909188\ | |
| 84580156166097919133875499200524063689912560717606\ | |
| 05886116467109405077541002256983155200055935729725\ | |
| 71636269561882670428252483600823257530420752963450"; | |
| using ll=long long; | |
| ll val(string s, ll k) { | |
| ll prod = 1; | |
| for (ll i = 0; i < 13; i++) { | |
| prod *= (s[k-i-1] - '0'); | |
| } | |
| return prod; | |
| } | |
| int main() { | |
| ll maxProd = 1; | |
| for (ll i = 13; i < num.size(); i++) { | |
| maxProd = max(maxProd, val(num, i)); | |
| } | |
| cout << maxProd; | |
| } |
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