CSES - Aalto Competitive Programming 2024 - wk4 - Mon - Results
Submission details
Task:Moon landing
Sender:eyong002
Submission time:2024-09-24 17:17:49 +0300
Language:C++ (C++20)
Status:READY
Result:ACCEPTED
Test results
testverdicttime
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Code

#include <iostream>
#include <vector>
#include <algorithm>
#include <limits.h>
using namespace std;

// Segment Tree for Range Minimum and Maximum Queries
class SegmentTree {
public:
    vector<int> tree;
    int size;
    
    // Initialize the segment tree
    SegmentTree(int n, bool isMaxTree) {
        size = n;
        tree.resize(4 * n, isMaxTree ? INT_MIN : INT_MAX);  // Use INT_MIN for max, INT_MAX for min
        this->isMaxTree = isMaxTree;
    }
    
    // Build the segment tree
    void build(const vector<int>& a, int node, int start, int end) {
        if (start == end) {
            tree[node] = a[start];
        } else {
            int mid = (start + end) / 2;
            build(a, 2 * node + 1, start, mid);
            build(a, 2 * node + 2, mid + 1, end);
            tree[node] = isMaxTree ? max(tree[2 * node + 1], tree[2 * node + 2])
                                   : min(tree[2 * node + 1], tree[2 * node + 2]);
        }
    }
    
    // Query the range [L, R]
    int query(int node, int start, int end, int L, int R) {
        if (R < start || end < L) {
            return isMaxTree ? INT_MIN : INT_MAX;  // Return appropriate identity value
        }
        if (L <= start && end <= R) {
            return tree[node];
        }
        int mid = (start + end) / 2;
        int leftQuery = query(2 * node + 1, start, mid, L, R);
        int rightQuery = query(2 * node + 2, mid + 1, end, L, R);
        return isMaxTree ? max(leftQuery, rightQuery) : min(leftQuery, rightQuery);
    }
    
private:
    bool isMaxTree;  // Determines if the segment tree is for max or min
};

int main() {
    int n, x;
    cin >> n >> x;
    
    vector<int> a(n);
    for (int i = 0; i < n; ++i) {
        cin >> a[i];
    }
    
    // Build a segment tree for range maximum queries and range minimum queries
    SegmentTree maxTree(n, true);   // Max segment tree
    SegmentTree minTree(n, false);  // Min segment tree
    
    // Build both trees based on the input array
    maxTree.build(a, 0, 0, n - 1);
    minTree.build(a, 0, 0, n - 1);
    
    int left = 0, bestLength = 0, bestStart = 0;
    
    // Sliding window approach
    for (int right = 0; right < n; ++right) {
        while (true) {
            // Query the current window [left, right] for max and min
            int maxVal = maxTree.query(0, 0, n - 1, left, right);
            int minVal = minTree.query(0, 0, n - 1, left, right);
            
            if (maxVal - minVal <= x) {
                // Valid window, update the best result if necessary
                if (right - left + 1 > bestLength) {
                    bestLength = right - left + 1;
                    bestStart = left;
                }
                break;  // This window is valid, no need to shrink
            } else {
                // Shrink the window from the left
                ++left;
            }
        }
    }
    
    // Output the result (1-based index and the length of the best subarray)
    cout << bestStart + 1 << " " << bestLength << endl;
    
    return 0;
}

Test details

Test 1

Verdict: ACCEPTED

input
1 1

correct output
1 1

user output
1 1

Test 2

Verdict: ACCEPTED

input
2 10
0 2 

correct output
1 2

user output
1 2

Test 3

Verdict: ACCEPTED

input
2 4
7 7 

correct output
1 2

user output
1 2

Test 4

Verdict: ACCEPTED

input
3 8
5 10 5 

correct output
1 3

user output
1 3

Test 5

Verdict: ACCEPTED

input
3 10
3 6 7 

correct output
1 3

user output
1 3

Test 6

Verdict: ACCEPTED

input
3 0
6 9 5 

correct output
1 1

user output
1 1

Test 7

Verdict: ACCEPTED

input
4 3
8 5 1 10 

correct output
1 2

user output
1 2

Test 8

Verdict: ACCEPTED

input
4 9
6 3 8 7 

correct output
1 4

user output
1 4

Test 9

Verdict: ACCEPTED

input
4 10
1 9 6 8 

correct output
1 4

user output
1 4

Test 10

Verdict: ACCEPTED

input
5 6
6 7 9 6 9 

correct output
1 5

user output
1 5

Test 11

Verdict: ACCEPTED

input
5 4
10 7 10 0 1 

correct output
1 3

user output
1 3

Test 12

Verdict: ACCEPTED

input
5 4
2 0 10 6 10 

correct output
3 3

user output
3 3

Test 13

Verdict: ACCEPTED

input
5 6
0 7 9 3 1 

correct output
2 3

user output
2 3

Test 14

Verdict: ACCEPTED

input
5 10
9 6 1 10 9 

correct output
1 5

user output
1 5

Test 15

Verdict: ACCEPTED

input
5 2
0 9 9 2 4 

correct output
2 2

user output
2 2

Test 16

Verdict: ACCEPTED

input
5 9
10 3 2 9 0 

correct output
1 4

user output
1 4

Test 17

Verdict: ACCEPTED

input
5 0
2 8 3 4 10 

correct output
1 1

user output
1 1

Test 18

Verdict: ACCEPTED

input
5 9
0 10 2 9 4 

correct output
2 4

user output
2 4

Test 19

Verdict: ACCEPTED

input
5 0
4 5 5 5 0 

correct output
2 3

user output
2 3

Test 20

Verdict: ACCEPTED

input
10 6
6 7 9 6 9 5 9 4 6 7 

correct output
1 10

user output
1 10

Test 21

Verdict: ACCEPTED

input
10 4
10 7 10 0 1 3 10 1 2 1 

correct output
1 3

user output
1 3

Test 22

Verdict: ACCEPTED

input
10 4
2 0 10 6 10 4 5 4 3 3 

correct output
6 5

user output
6 5

Test 23

Verdict: ACCEPTED

input
10 6
0 7 9 3 1 5 6 9 4 9 

correct output
6 5

user output
6 5

Test 24

Verdict: ACCEPTED

input
10 10
9 6 1 10 9 7 6 7 6 2 

correct output
1 10

user output
1 10

Test 25

Verdict: ACCEPTED

input
10 2
0 9 9 2 4 10 10 5 0 6 

correct output
2 2

user output
2 2

Test 26

Verdict: ACCEPTED

input
10 9
10 3 2 9 0 0 4 1 10 6 

correct output
2 7

user output
2 7

Test 27

Verdict: ACCEPTED

input
10 0
2 8 3 4 10 7 5 10 3 5 

correct output
1 1

user output
1 1

Test 28

Verdict: ACCEPTED

input
10 9
0 10 2 9 4 5 8 2 4 0 

correct output
2 8

user output
2 8

Test 29

Verdict: ACCEPTED

input
10 0
4 5 5 5 0 1 3 1 0 2 

correct output
2 3

user output
2 3

Test 30

Verdict: ACCEPTED

input
100 589284011
636562059 767928733 906523440 ...

correct output
1 12

user output
1 12

Test 31

Verdict: ACCEPTED

input
100 447773961
773442531 122815 137572578 324...

correct output
2 10

user output
2 10

Test 32

Verdict: ACCEPTED

input
100 468145962
198730371 27838075 590195589 4...

correct output
60 11

user output
60 11

Test 33

Verdict: ACCEPTED

input
100 591414746
75940262 760367934 901888416 3...

correct output
34 14

user output
34 14

Test 34

Verdict: ACCEPTED

input
100 967034923
587586157 185430193 918715994 ...

correct output
37 64

user output
37 64

Test 35

Verdict: ACCEPTED

input
100 238363352
59249203 934941691 892631471 2...

correct output
34 5

user output
34 5

Test 36

Verdict: ACCEPTED

input
100 958701282
356460600 224848373 881788058 ...

correct output
1 100

user output
1 100

Test 37

Verdict: ACCEPTED

input
100 81935403
244103473 837431430 342493821 ...

correct output
21 3

user output
21 3

Test 38

Verdict: ACCEPTED

input
100 937837680
11934037 257096282 933290529 4...

correct output
29 54

user output
29 54

Test 39

Verdict: ACCEPTED

input
100 11139167
391337047 538883743 535937149 ...

correct output
2 3

user output
2 3

Test 40

Verdict: ACCEPTED

input
200 589284011
636562059 767928733 906523440 ...

correct output
99 15

user output
99 15

Test 41

Verdict: ACCEPTED

input
200 447773961
773442531 122815 137572578 324...

correct output
2 10

user output
2 10

Test 42

Verdict: ACCEPTED

input
200 468145962
198730371 27838075 590195589 4...

correct output
60 11

user output
60 11

Test 43

Verdict: ACCEPTED

input
200 591414746
75940262 760367934 901888416 3...

correct output
104 24

user output
104 24

Test 44

Verdict: ACCEPTED

input
200 967034923
587586157 185430193 918715994 ...

correct output
37 111

user output
37 111

Test 45

Verdict: ACCEPTED

input
200 238363352
59249203 934941691 892631471 2...

correct output
34 5

user output
34 5

Test 46

Verdict: ACCEPTED

input
200 958701282
356460600 224848373 881788058 ...

correct output
1 138

user output
1 138

Test 47

Verdict: ACCEPTED

input
200 81935403
244103473 837431430 342493821 ...

correct output
21 3

user output
21 3

Test 48

Verdict: ACCEPTED

input
200 937837680
11934037 257096282 933290529 4...

correct output
84 66

user output
84 66

Test 49

Verdict: ACCEPTED

input
200 11139167
391337047 538883743 535937149 ...

correct output
2 3

user output
2 3

Test 50

Verdict: ACCEPTED

input
1000 589284011
636562059 767928733 906523440 ...

correct output
99 15

user output
99 15

Test 51

Verdict: ACCEPTED

input
1000 447773961
773442531 122815 137572578 324...

correct output
2 10

user output
2 10

Test 52

Verdict: ACCEPTED

input
1000 468145962
198730371 27838075 590195589 4...

correct output
60 11

user output
60 11

Test 53

Verdict: ACCEPTED

input
10000 591414746
75940262 760367934 901888416 3...

correct output
104 24

user output
104 24

Test 54

Verdict: ACCEPTED

input
10000 967034923
587586157 185430193 918715994 ...

correct output
3660 279

user output
3660 279

Test 55

Verdict: ACCEPTED

input
10000 238363352
59249203 934941691 892631471 2...

correct output
325 9

user output
325 9

Test 56

Verdict: ACCEPTED

input
100000 958701282
356460600 224848373 881788058 ...

correct output
66493 302

user output
66493 302

Test 57

Verdict: ACCEPTED

input
100000 81935403
244103473 837431430 342493821 ...

correct output
28066 7

user output
28066 7

Test 58

Verdict: ACCEPTED

input
100000 937837680
11934037 257096282 933290529 4...

correct output
91851 177

user output
91851 177

Test 59

Verdict: ACCEPTED

input
100000 11139167
391337047 538883743 535937149 ...

correct output
84138 4

user output
84138 4

Test 60

Verdict: ACCEPTED

input
100000 239756970
350744379 561742366 59793553 5...

correct output
94284 12

user output
94284 12

Test 61

Verdict: ACCEPTED

input
100000 316394139
195182396 569713187 906489185 ...

correct output
12844 13

user output
12844 13

Test 62

Verdict: ACCEPTED

input
100000 698334026
81615940 542726430 464528081 9...

correct output
28811 40

user output
28811 40

Test 63

Verdict: ACCEPTED

input
100000 104725911
462211739 817385661 443179352 ...

correct output
46788 9

user output
46788 9

Test 64

Verdict: ACCEPTED

input
100000 20
13 15 11 10 13 16 17 18 15 18 ...

correct output
1 100000

user output
1 100000