Ruudukko

// const { performance } = require("perf_hooks")
// const start = performance.now()

// Get input
const [length, ...lines] = require("fs").readFileSync(0, "utf8").trim().split("\n").map(l => l.trim().split(" ").map(Number))

function getRelations(x, y) {
    const val = lines[y][x]
    const relations = []
    // Above
    for (let i = y; i > -1; i--){
        if (lines[i][x] < val) relations.push([x, i])
    }

    // Below
    for (let i = y; i < length; i++){
        if (lines[i][x] < val) relations.push([x, i])
    }

    // Left
    for (let i = x; i > -1; i--){
        if (lines[y][i] < val) relations.push([i, y])
    }

    // Right
    for (let i = x; i < length; i++){
        if (lines[y][i] < val) relations.push([i, y])
    }

    return relations
}
// Build relational object
const relations = Object.fromEntries(lines
    .map((line, y) => line.map((val, x) => ({
        val,
        x,
        y,
        relations: getRelations(x, y)
    })))
    .flat(1)
    .map((obj) => [`${obj.x}-${obj.y}`, obj.relations]))

// console.log(" -> Parsed in", (performance.now() - start) / 1000 + "s")

// Calculate paths
function getPaths(pointRelations, visited = []) {
    let pathCount = pointRelations.length // Every path of 0 length is still a path (right?)
    if (visited.length === 0) ++pathCount

    /*if (pointRelations.length > 0) pathCount += pointRelations
        .filter(([x, y]) => !visited.includes(`${x}-${y}`))
        .map(([x, y]) => getPaths(relations[`${x}-${y}`], visited.concat([x, y])))
        .reduce((a, b) => a + b)*/
    pathCount += pointRelations.length + 1

    return pathCount
}

/*const paths = Object.keys(relations)
    .map((point) => relations[point].length > 0 ? getPaths(relations[point]) : 0)
    .reduce((a, b) => a + b)
    % ((10 ** 9) + 7)*/
let paths = 0
for (const point in relations) {
    paths += getPaths(relations[point])
}

console.log(paths)
// console.log(" -> Done in", (performance.now() - start) / 1000 + "s")

Test 1

Group: 1, 2, 3

Verdict: WRONG ANSWER

Test 2

Group: 1, 2, 3

Verdict: WRONG ANSWER

Test 3

Group: 1, 2, 3

Verdict: WRONG ANSWER

Test 4

Group: 2, 3

Verdict: WRONG ANSWER

Test 5

Group: 2, 3

Verdict: WRONG ANSWER

Test 6

Group: 2, 3

Verdict: WRONG ANSWER

Test 7

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 8

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 9

Group: 3

Verdict: TIME LIMIT EXCEEDED