CSES - Datatähti 2023 alku - Results
Submission details
Task:Ruudukko
Sender:Mariia
Submission time:2022-11-12 14:35:35 +0200
Language:C++ (C++11)
Status:READY
Result:28
Feedback
groupverdictscore
#1ACCEPTED28
#20
#30
Test results
testverdicttimegroup
#1ACCEPTED0.00 s1, 2, 3details
#2ACCEPTED0.00 s1, 2, 3details
#3ACCEPTED0.00 s1, 2, 3details
#4ACCEPTED0.72 s2, 3details
#5--2, 3details
#6--2, 3details
#70.54 s3details
#8--3details
#9--3details

Code

#include <iostream>
#include <vector>
#include <algorithm>
#include <set>

using namespace std;

const int mod = 1e9 + 7;

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    int n; cin >> n;
    vector<vector<int>> t(n, vector<int> (n));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            cin >> t[i][j];
        }
    }

    vector<set<int>> pref(n * n);
    vector<vector<pair<int, int>>> helpi(n);
    vector<vector<pair<int, int>>> helpj(n);
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            helpi[i].push_back({t[i][j], i * n + j});
        }
        sort(helpi[i].begin(), helpi[i].end());
    }
    for (int j = 0; j < n; j++) {
        for (int i = 0; i < n; i++) {
            helpj[j].push_back({t[i][j], i * n + j});
        }
        sort(helpj[j].begin(), helpj[j].end());
    }

    int s;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            s = n - 1;
            while (s >= 0 && helpi[i][s].first > t[i][j]) {
                if (helpi[i][s].second != i * n + j) {
                    pref[i * n + j].insert(helpi[i][s].second);
                }
                s--;
            }
            s = n - 1;
            while (s >= 0 && helpj[j][s].first > t[i][j]) {
                if (helpj[j][s].second != i * n + j) {
                    pref[i * n + j].insert(helpj[j][s].second);
                }
                s--;
            }
        }
    }

    vector<vector<int>> dp(n * n, vector<int> (n * n));
    int ANS = 0;
    for (int c = 1; c <= n * n; c++) {
        for (int i = 0; i < n * n; i++) {
            if (c == 1) {
                dp[c - 1][i] = 1;
            } else {
                dp[c - 1][i] = 0;
                for (auto naa : pref[i]) {
                    dp[c - 1][i] += dp[c - 2][naa];
                    dp[c - 1][i] %= mod;
                }
            }
            ANS += dp[c - 1][i];
            ANS %= mod;
        }
    }
    cout << ANS;
}

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:

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

correct output
187458477

user output
(empty)

Test 6

Group: 2, 3

Verdict:

input
100
2995 8734 1018 2513 7971 5063 ...

correct output
964692694

user output
(empty)

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)