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8.0 KiB
8.0 KiB
title
title |
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Problem 8: Largest product in a series |
Problem 8: Largest product in a series
Problem Explanation
- In this challenge we need to get the largest product of
n
cosnecutive numbers. - We can use the sliding window method to solve this problem.
- Steps to follow:
- Select the first n consecutive numbers.
- Find their product.
- Compare it to the maximum product yet.
- Move the pointer by 1 element.
- Repeat the process.
- This algorithm's big O is O(n*m) where n is the length of the array and m is the number of consecutive elements.
Solutions
Solution 1 (Click to Show/Hide)
function largestProductinaSeries(n) {
let thousandDigits = [
7,
3,
1,
6,
7,
1,
7,
6,
5,
3,
1,
3,
3,
0,
6,
2,
4,
9,
1,
9,
2,
2,
5,
1,
1,
9,
6,
7,
4,
4,
2,
6,
5,
7,
4,
7,
4,
2,
3,
5,
5,
3,
4,
9,
1,
9,
4,
9,
3,
4,
9,
6,
9,
8,
3,
5,
2,
0,
3,
1,
2,
7,
7,
4,
5,
0,
6,
3,
2,
6,
2,
3,
9,
5,
7,
8,
3,
1,
8,
0,
1,
6,
9,
8,
4,
8,
0,
1,
8,
6,
9,
4,
7,
8,
8,
5,
1,
8,
4,
3,
8,
5,
8,
6,
1,
5,
6,
0,
7,
8,
9,
1,
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1,
6,
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3,
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3,
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8,
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1,
2,
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1,
6,
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3,
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6,
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8,
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4,
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1,
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6,
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2,
2,
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1,
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2,
2,
6,
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1,
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5,
5,
6,
2,
6,
3,
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1,
1,
1,
1,
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3,
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1,
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1,
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8,
9,
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2,
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4,
3,
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2,
9,
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1,
2,
3,
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9,
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7,
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7,
9,
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2,
7,
2,
4,
4,
2,
8,
4,
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1,
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8,
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4,
5,
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1,
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1,
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3,
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2,
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3,
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1,
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1,
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2,
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2,
5,
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1,
6,
3,
6,
2,
6,
9,
5,
6,
1,
8,
8,
2,
6,
7,
0,
4,
2,
8,
2,
5,
2,
4,
8,
3,
6,
0,
0,
8,
2,
3,
2,
5,
7,
5,
3,
0,
4,
2,
0,
7,
5,
2,
9,
6,
3,
4,
5,
0
];
let len = n;
let prod = 1,
max = 1;
while (len < thousandDigits.length) {
prod = 1;
//Looping and computing products of n numbers
for (let i = len - n; i < len; i++) {
prod *= thousandDigits[i];
}
if (prod > max) max = prod;
len++;
}
return max;
}
console.log(largestProductinaSeries(13));