84 lines
2.6 KiB
Plaintext
84 lines
2.6 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "8744af43",
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"metadata": {},
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"source": [
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"# [Largest Product in a Series](https://projecteuler.net/problem=8)\n",
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"\n",
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"First, let's load the number as a tuple."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "699aa447",
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"metadata": {},
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"outputs": [],
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"source": [
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"num = tuple(int(d) for d in \"7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450\")"
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]
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},
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{
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"cell_type": "markdown",
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"id": "8b53af56",
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"metadata": {},
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"source": [
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"Now we'll just do a sliding window over the number to find the thirteen adjacent digits with the greatest product."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "6b760673",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"(5, 5, 7, 6, 6, 8, 9, 6, 6, 4, 8, 9, 5)"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"subnums = (num[i:i+13] for i in range(0, len(num)-13))\n",
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"max(subnums, key=prod)"
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]
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},
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{
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"cell_type": "markdown",
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"id": "4148d160",
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"metadata": {},
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"source": [
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"Their product is 23514624000."
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "SageMath 9.5",
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"language": "sage",
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"name": "sagemath"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.11.2"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
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}
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