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11-largest-product-in-a-grid.js
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11-largest-product-in-a-grid.js
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//Enunciado
/*
In the 20×20 grid below, four numbers along a diagonal line have been marked in red.
08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48
The product of these numbers is 26 × 63 × 78 × 14 = 1788696.
What is the greatest product of four adjacent numbers in the same direction (up, down, left, right, or diagonally) in the 20×20 grid?
*/
let target = `08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48`
target = target.match(/(?=\s*)?\d\d(?=\s*?)?/g)
for (let i = 0; i < target.length; i++) {
target[i] = parseInt(target[i])
}
//right
let adjRight = []
let valorRight = []
let maxRight;
for (let i = 0; i < target.length - 4; i++) {
let adjacent = target.slice(i, i + 4)
if (adjacent.indexOf(0) == -1) {
adjRight.push(adjacent)
}
}
adjRight.forEach(arr => {
let sum = 1;
arr.forEach(num => {
sum *= num
})
valorRight.push(sum)
})
maxRight = Math.max(...valorRight)
//down
let adjDown = []
let valorDown = []
let maxDown;
for (let i = 0; i < target.length - 80; i++) {
let adjacent = []
for (let j = i; adjacent.length < 4; j += 20) {
adjacent.push(target[j])
}
if (adjacent.indexOf(0) == -1) {
adjDown.push(adjacent)
}
}
adjDown.forEach(arr => {
let sum = 1;
arr.forEach(num => {
sum *= num
})
valorDown.push(sum)
})
maxDown = Math.max(...valorDown)
//diagonally
let adjDiag1 = []
let valorDiag1 = []
let maxDiag1;
for (let i = 0; i < target.length - 21; i++) {
let adjacent = []
for (let j = i; adjacent.length < 4; j += 21) {
adjacent.push(target[j])
}
if (adjacent.indexOf(0) == -1 && adjacent.indexOf(undefined) == -1) {
adjDiag1.push(adjacent)
}
}
adjDiag1.forEach(arr => {
let sum = 1;
arr.forEach(num => {
sum *= num
})
valorDiag1.push(sum)
})
maxDiag1 = Math.max(...valorDiag1)
//diag2
let adjDiag2 = []
let valorDiag2 = []
let maxDiag2;
for (let i = 0; i < target.length - 19; i++) {
let adjacent = []
for (let j = i; adjacent.length < 4; j += 19) {
adjacent.push(target[j])
}
if (adjacent.indexOf(0) == -1) {
adjDiag2.push(adjacent)
}
}
adjDiag2.forEach(arr => {
let sum = 1;
arr.forEach(num => {
sum *= num
})
valorDiag2.push(sum)
})
valorDiag2 = valorDiag2.filter(num => {
return num > 0
})
maxDiag2 = Math.max(...valorDiag2)
const res = Math.max(maxDiag1,maxDiag2,maxDown,maxRight);
console.log(res);//70600674