CSES - Datatähti 2025 alku - Results
Submission details
Task:Niitty
Sender:fatihmerickoc
Submission time:2024-10-28 22:47:09 +0200
Language:C++ (C++11)
Status:READY
Result:20
Feedback
groupverdictscore
#1ACCEPTED4
#2ACCEPTED6
#3ACCEPTED10
#40
#50
#60
Test results
testverdicttimegroup
#1ACCEPTED0.00 s1, 2, 3, 4, 5, 6details
#2ACCEPTED0.00 s1, 2, 3, 4, 5, 6details
#3ACCEPTED0.00 s1, 2, 3, 4, 5, 6details
#4ACCEPTED0.00 s1, 2, 3, 4, 5, 6details
#5ACCEPTED0.00 s1, 2, 3, 4, 5, 6details
#6ACCEPTED0.00 s2, 3, 4, 5, 6details
#7ACCEPTED0.01 s2, 3, 4, 5, 6details
#8ACCEPTED0.00 s2, 3, 4, 5, 6details
#9ACCEPTED0.01 s2, 3, 4, 5, 6details
#10ACCEPTED0.02 s3, 4, 5, 6details
#11ACCEPTED0.10 s3, 4, 5, 6details
#12ACCEPTED0.01 s3, 4, 5, 6details
#13ACCEPTED0.07 s3, 4, 5, 6details
#14ACCEPTED0.26 s4, 5, 6details
#15--4, 5, 6details
#16ACCEPTED0.10 s4, 5, 6details
#17--4, 5, 6details
#18--5, 6details
#19--5, 6details
#20--5, 6details
#21--5, 6details
#22--6details
#23--6details
#24--6details
#25--6details

Code

//
//  main.cpp
//  cpp
//
//  Created by Fatih Meric Koc on 28.10.2024.
//
#include <iostream>
#include <string>
#include <vector>
#include <set>
#include <bitset>
using namespace std;

int countValidAreas(const vector<string>& meadow) {
    int n = meadow.size();
    int count = 0;
    
    // Precompute all unique species and create species to index mapping
    vector<int> speciesIndex(26, -1);  // Map species to 0-based index
    int speciesCount = 0;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            if (speciesIndex[meadow[i][j] - 'A'] == -1) {
                speciesIndex[meadow[i][j] - 'A'] = speciesCount++;
            }
        }
    }
    
    // Precompute prefix sums for each species
    vector<vector<vector<int>>> prefixSum(n, vector<vector<int>>(n, vector<int>(speciesCount, 0)));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            int idx = speciesIndex[meadow[i][j] - 'A'];
            if (i > 0) {
                for (int k = 0; k < speciesCount; k++) {
                    prefixSum[i][j][k] = prefixSum[i-1][j][k];
                }
            }
            if (j > 0) {
                for (int k = 0; k < speciesCount; k++) {
                    prefixSum[i][j][k] += prefixSum[i][j-1][k];
                }
            }
            if (i > 0 && j > 0) {
                for (int k = 0; k < speciesCount; k++) {
                    prefixSum[i][j][k] -= prefixSum[i-1][j-1][k];
                }
            }
            prefixSum[i][j][idx]++;
        }
    }
    
    // For each possible top row
    for (int top = 0; top < n; top++) {
        // For each possible bottom row
        for (int bottom = top; bottom < n; bottom++) {
            // For each possible left column
            vector<int> currSpecies(speciesCount, 0);
            for (int left = 0; left < n; left++) {
                // Reset species count for new left column
                fill(currSpecies.begin(), currSpecies.end(), 0);
                
                // For each possible right column
                for (int right = left; right < n; right++) {
                    int validSpecies = 0;
                    
                    // Calculate species in current rectangle using prefix sums
                    for (int k = 0; k < speciesCount; k++) {
                        int sum = prefixSum[bottom][right][k];
                        if (top > 0) sum -= prefixSum[top-1][right][k];
                        if (left > 0) sum -= prefixSum[bottom][left-1][k];
                        if (top > 0 && left > 0) sum += prefixSum[top-1][left-1][k];
                        if (sum > 0) validSpecies++;
                    }
                    
                    // If we found all species, this is a valid rectangle
                    if (validSpecies == speciesCount) {
                        count++;
                    }
                }
            }
        }
    }
    
    return count;
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    
    int n;
    cin >> n;
    
    vector<string> meadow(n);
    for (int i = 0; i < n; i++) {
        cin >> meadow[i];
    }
    
    cout << countValidAreas(meadow) << endl;
    
    return 0;
}

Test details

Test 1

Group: 1, 2, 3, 4, 5, 6

Verdict: ACCEPTED

input
10
TNCTNPNTPC
NPPNTNTPTP
NTNTTCNTCT
NPCPNPPNTT
...

correct output
2035

user output
2035

Test 2

Group: 1, 2, 3, 4, 5, 6

Verdict: ACCEPTED

input
10
NFWQLWNWYS
DZOQJVXFPJ
CNHXPXMCQD
QRTBVNLTQC
...

correct output
9

user output
9

Test 3

Group: 1, 2, 3, 4, 5, 6

Verdict: ACCEPTED

input
10
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
...

correct output
3025

user output
3025

Test 4

Group: 1, 2, 3, 4, 5, 6

Verdict: ACCEPTED

input
10
FFFFFFFFFF
FFFFFCFFFF
FFFFFFJFFF
FFFFFFFFFF
...

correct output
12

user output
12

Test 5

Group: 1, 2, 3, 4, 5, 6

Verdict: ACCEPTED

input
1
X

correct output
1

user output
1

Test 6

Group: 2, 3, 4, 5, 6

Verdict: ACCEPTED

input
20
BBCBUBOUOBBCUUBBCOUO
BOUCOOCUBCOOOCOBOCUO
UCCUUUOBCOCBCBUBUCOO
BUOBUCUCUOOBCOOUBUOO
...

correct output
38724

user output
38724

Test 7

Group: 2, 3, 4, 5, 6

Verdict: ACCEPTED

input
20
CBGLSHGZHYZDWBNDBJUG
SMUXOJQYPXZDTMJUIWOJ
XIDSTNBGHKRKOVUVMINB
MTQGCFRUHQKALXRNCQGS
...

correct output
8334

user output
8334

Test 8

Group: 2, 3, 4, 5, 6

Verdict: ACCEPTED

input
20
KKKKKKKKKKKKKKKKKKKK
KKKKKKKKKKKKKKKKKKKK
KKKKKKKKKKKKKKKKKKKK
KKKKKKKKKKKKKKKKKKKK
...

correct output
44100

user output
44100

Test 9

Group: 2, 3, 4, 5, 6

Verdict: ACCEPTED

input
20
AAAAAAAAXAAAAAAAAAAA
AAAWAAAAAAAAAAAAAOAA
AAAAAAAAAAAAAAAAAPAA
AAAAAAAAKAAAAAAAAAAZ
...

correct output
18

user output
18

Test 10

Group: 3, 4, 5, 6

Verdict: ACCEPTED

input
50
GRGREEEGREGXRXXEGXXREXGRRRGRRR...

correct output
1584665

user output
1584665

Test 11

Group: 3, 4, 5, 6

Verdict: ACCEPTED

input
50
AITIISJUHCCRZNKSDCNQKYSQRINFWJ...

correct output
1077746

user output
1077746

Test 12

Group: 3, 4, 5, 6

Verdict: ACCEPTED

input
50
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOO...

correct output
1625625

user output
1625625

Test 13

Group: 3, 4, 5, 6

Verdict: ACCEPTED

input
50
FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF...

correct output
1680

user output
1680

Test 14

Group: 4, 5, 6

Verdict: ACCEPTED

input
100
NNCMDCDDCCNNNDNCMMNCDCDCCDCDNM...

correct output
25325366

user output
25325366

Test 15

Group: 4, 5, 6

Verdict:

input
100
LIMQQIHASECROEVILNVULGWZJPPKOG...

correct output
22342463

user output
(empty)

Test 16

Group: 4, 5, 6

Verdict: ACCEPTED

input
100
TTTTTTTTTTTTTTTTTTTTTTTTTTTTTT...

correct output
25502500

user output
25502500

Test 17

Group: 4, 5, 6

Verdict:

input
100
QXQQQQQQQQQQQQQQQQQQQQQQQQQQQQ...

correct output
25650

user output
(empty)

Test 18

Group: 5, 6

Verdict:

input
200
NAANANMMKNKKAKMKMAKNKMNKMMNNAA...

correct output
403292767

user output
(empty)

Test 19

Group: 5, 6

Verdict:

input
200
OMYWATTLURKQPTKEFMGGYAOONXWVSC...

correct output
388111321

user output
(empty)

Test 20

Group: 5, 6

Verdict:

input
200
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCC...

correct output
404010000

user output
(empty)

Test 21

Group: 5, 6

Verdict:

input
200
LLLLLLLLLLLLLLLLLHLLLLLLLLLLLL...

correct output
14159445

user output
(empty)

Test 22

Group: 6

Verdict:

input
500
VVHWVUHVHUWWWVUUUWVUUHUUWHWUVW...

correct output
15683003812

user output
(empty)

Test 23

Group: 6

Verdict:

input
500
OIMZGEQSBMBDSDXSWRFNKSGFEBBTJE...

correct output
15575906951

user output
(empty)

Test 24

Group: 6

Verdict:

input
500
IIIIIIIIIIIIIIIIIIIIIIIIIIIIII...

correct output
15687562500

user output
(empty)

Test 25

Group: 6

Verdict:

input
500
WWWWWWWWWWWWWWWWWWWWWWWWWWWWWW...

correct output
3058970930

user output
(empty)