Ruudukko

const fs = require('fs');

let cache = Array.from(Array(1000), () => Array(1000).fill(0))

let travel = (jj, kk, n, arr) => {
    let res = 1;
    let seen = Array.from(Array(n), () => Array(n).fill(0));
    if (cache[jj][kk] != 0) {
        return cache[jj][kk];
    }
    for (let d = kk + 1; d < kk + n; d++) {
        let cur = arr[jj][d%n];
        if (cur >= arr[jj][kk]) {
            continue;
        }
        if (seen[jj][d%n] != 1) {
            res += travel(jj, d%n, n, arr);
        }
        seen[jj][d%n] = 1;
    }
    
    for (let e = jj + 1; e < jj + n; e++) {
        let cur = arr[e%n][kk];
        if (cur >= arr[jj][kk]) {
            continue;
        }
        if (seen[e%n][kk] != 1) {
            res += travel(e%n, kk, n, arr);
        }
        seen[e%n][kk] = 1;
    }
    cache[jj][kk] = res;
    return res;
}

let input = fs.readFileSync(0, "utf-8").split("\n").map(a => a.split(' ').map(a => parseInt(a)));
let n = input.shift()[0];
input.pop();

let res = 0;
for (let jj = 0; jj < n; jj++) {
    for (let kk = 0; kk < n; kk++) {
        res += travel(jj, kk, n, input);
    }
}
console.log(res);

Test 1

Group: 1, 2, 3

Verdict: ACCEPTED

Test 2

Group: 1, 2, 3

Verdict: ACCEPTED

Test 3

Group: 1, 2, 3

Verdict: ACCEPTED

Test 4

Group: 2, 3

Verdict: ACCEPTED

Test 5

Group: 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 6

Group: 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 7

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 8

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 9

Group: 3

Verdict: TIME LIMIT EXCEEDED