CSES - Datatähti 2023 alku - Results
Submission details
Task:Ruudukko
Sender:Mariia
Submission time:2022-11-12 13:58:46 +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
#40.45 s2, 3details
#50.51 s2, 3details
#60.50 s2, 3details
#7--3details
#8--3details
#9--3details

Code

#include <iostream>
#include <vector>
#include <algorithm>
#include <set>
using namespace std;
const long long mod = 1e9 + 7;
int main() {
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());
reverse(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());
reverse(helpj[j].begin(), helpj[j].end());
}
}
int s;
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
s = 0;
while (s < n && 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 = 0;
while (s < n && 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<long long>> dp(n * n, vector<long long> (n * n));
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;
}
}
}
}
long long ANS = 0;
for (int c = 1; c <= n * n; c++) {
for (int i = 0; i < n * n; i++) {
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:

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

correct output
10000

user output
(empty)

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)