Ruudukko

const { readSync } = require('fs');
const { Buffer } = require('buffer');


function readline() {
  let buf = Buffer.alloc(1000, 10);
  for(i=0; i<1000; i++) {
    if(!readSync(0, buf, i, 1) || buf[i]===10) {
      return buf.toString("utf8").split("\n")[0];
    }
  }
}

const n = Number(readline());

let buf = Buffer.alloc((String(n**2).length+1)*(n**2), 10);
readSync(0, buf);
const table = buf.toString("utf8").split("\n").filter(e=>e).map(e=>e.split(" ")).flat().map(e=>parseInt(e));
const paths = [];
const nummap = Array(n**2+1).fill().map(()=>[]);

table.forEach((e,i)=>nummap[e].push(i));

nummap.forEach((e,i)=>
  e.forEach(x=>{
    paths[x]=1n;
    for(let y=0;y<n;y++) {
      if(table[x-x%n+y]<i) {
        paths[x]+=paths[x-x%n+y];
      }
      if(table[x%n+y*n]<i) {
        paths[x]+=paths[x%n+y*n];
      }
    }
  })
);

console.log((paths.reduce((v,e)=>v+e,0n)%BigInt(1e9+7)).toString());

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: ACCEPTED

Test 6

Group: 2, 3

Verdict: ACCEPTED

Test 7

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 8

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 9

Group: 3

Verdict: TIME LIMIT EXCEEDED