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 = [];

table.forEach(e=>nummap[e]=true);

for(let i=1;i<=n**2;i++) {
  if(nummap[i])
  for(let x=0;x<n**2;x++) {
    if(table[x]==i) {
      paths[x]=1;
      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);
}

console.log((paths.reduce((v,e)=>v+BigInt(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: 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