CSES - Datatähti 2023 alku - Results
Submission details
Task:Ruudukko
Sender:AnttiE
Submission time:2022-11-01 10:16:58 +0200
Language:Node.js
Status:READY
Result:61
Feedback
groupverdictscore
#1ACCEPTED28
#2ACCEPTED33
#30
Test results
testverdicttimegroup
#1ACCEPTED0.11 s1, 2, 3details
#2ACCEPTED0.11 s1, 2, 3details
#3ACCEPTED0.11 s1, 2, 3details
#4ACCEPTED0.13 s2, 3details
#5ACCEPTED0.79 s2, 3details
#6ACCEPTED0.42 s2, 3details
#7--3details
#8--3details
#9--3details

Code

const [[n], ...grid] = require("fs").readFileSync(0, "utf8").trim().split("\n").map(l => l.trim().split(" ").map(Number));

//console.log(n, grid.length, grid.at(-1).length)

if (n !== grid.length) throw new Error("input reading... really?");

const key = (r, c) => `${r},${c}`;
const memo = new Map();

function routes(r, c) {
  const k = key(r, c);
  if (memo.has(k)) return memo.get(k);

  const v = grid[r][c];
  const next = [];
  for (let a = 0; a < n; a++) {
    if (grid[a][c] < v) next.push([a, c]);
    if (grid[r][a] < v) next.push([r, a]);
  }

  let s = BigInt(next.length);
  for (const [r2, c2] of next) {
    s += routes(r2, c2);
  }

  memo.set(k, s);
  return s;
}

let sum = BigInt(n**2);

for (let r = 0; r < n; r++) {
  for (let c = 0; c < n; c++) {
    sum += routes(r, c);
  }
}

// console.log(memo)
console.log((sum % ((10n**9n)+7n)).toString());

Test details

Test 1

Group: 1, 2, 3

Verdict: ACCEPTED

input
3
1 1 1
1 1 1
1 1 1

correct output
9

user output
9

Test 2

Group: 1, 2, 3

Verdict: ACCEPTED

input
3
1 2 3
6 5 4
7 8 9

correct output
135

user output
135

Test 3

Group: 1, 2, 3

Verdict: ACCEPTED

input
3
7 8 1
4 5 4
3 9 6

correct output
57

user output
57

Test 4

Group: 2, 3

Verdict: ACCEPTED

input
100
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

correct output
10000

user output
10000

Test 5

Group: 2, 3

Verdict: ACCEPTED

input
100
1 2 3 4 5 6 7 8 9 10 11 12 13 ...

correct output
187458477

user output
187458477

Test 6

Group: 2, 3

Verdict: ACCEPTED

input
100
2995 8734 1018 2513 7971 5063 ...

correct output
964692694

user output
964692694

Test 7

Group: 3

Verdict:

input
1000
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

correct output
1000000

user output
(empty)

Test 8

Group: 3

Verdict:

input
1000
1 2 3 4 5 6 7 8 9 10 11 12 13 ...

correct output
229147081

user output
(empty)

Test 9

Group: 3

Verdict:

input
1000
520283 805991 492643 75254 527...

correct output
951147313

user output
(empty)