CSES - Datatähti 2023 alku - Results
Submission details
Task:Ruudukko
Sender:DualRed
Submission time:2022-11-03 00:50:37 +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
#4ACCEPTED0.00 s2, 3details
#50.36 s2, 3details
#60.46 s2, 3details
#7ACCEPTED0.07 s3details
#8--3details
#9--3details

Code

#include <iostream>
#include <chrono>
#include <map>

using namespace std;


int RoutesFromPoint(int* grid[], int gridSize, int x, int y, map<string, long> &memo){
    if(grid[x][y] == 1){ return 1; }
    string key = std::to_string(x) + "-" + std::to_string(y);
    if (memo.count(key)){
        return memo[key];
    }

    long totalCount = 1;
    for (int x2 = 0; x2 < gridSize; x2++){
        if (grid[x2][y] < grid[x][y]){
            totalCount += RoutesFromPoint(grid, gridSize, x2, y, memo);
        }
    }
    for (int y2 = 0; y2 < gridSize; y2++){
        if (grid[x][y2] < grid[x][y]){
            totalCount += RoutesFromPoint(grid, gridSize, x, y2, memo);
        }
    }
    memo[key] = totalCount;
    return totalCount  % 1000000007;
}


int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);


    // INPUT
    int gridSize;
    cin >> gridSize;
    int* grid[gridSize];
    for (int i = 0; i < gridSize; i++){
        grid[i] = new int[gridSize];
    }

    for (int y = 0; y < gridSize; y++){
        for (int x = 0; x < gridSize; x++){
            cin >> grid[x][y];
        }
    }

    //auto start = std::chrono::high_resolution_clock::now();

    // ALG
    long totalCount = 0;
    map<string, long> memo = map<string, long>();
    for (int y = 0; y < gridSize; y++){
        for (int x = 0; x < gridSize; x++){
            totalCount += RoutesFromPoint(grid, gridSize, x, y, memo);
        }
    }

    //auto end = std::chrono::high_resolution_clock::now();
    //cout << "TIME: " << std::chrono::duration_cast<std::chrono::milliseconds>(end-start).count() / 1000.0 << "\n"; 
    
    cout << (totalCount % 1000000007);
}
    



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
882539408

Test 6

Group: 2, 3

Verdict:

input
100
2995 8734 1018 2513 7971 5063 ...

correct output
964692694

user output
-597403564

Test 7

Group: 3

Verdict: ACCEPTED

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

correct output
1000000

user output
1000000

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)