CSES - Aalto Competitive Programming 2024 - wk10 - Homework - Results
Submission details
Task:Line Intersections
Sender:paulschulte
Submission time:2024-11-06 22:58:09 +0200
Language:C++ (C++17)
Status:READY
Result:
Test results
testverdicttime
#1ACCEPTED0.00 sdetails
#2ACCEPTED0.00 sdetails
#3ACCEPTED0.00 sdetails
#4ACCEPTED0.00 sdetails
#5ACCEPTED0.00 sdetails
#60.00 sdetails
#7ACCEPTED0.00 sdetails
#80.00 sdetails
#9ACCEPTED0.00 sdetails
#100.00 sdetails
#110.00 sdetails
#120.00 sdetails
#130.00 sdetails
#14ACCEPTED0.00 sdetails
#150.01 sdetails
#160.00 sdetails
#170.00 sdetails
#180.00 sdetails
#190.00 sdetails
#200.00 sdetails
#210.00 sdetails
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#340.00 sdetails
#350.00 sdetails
#360.00 sdetails
#370.02 sdetails
#380.02 sdetails
#390.02 sdetails
#400.02 sdetails

Code

// ~/.vim/cpp_template.cpp
#include <bits/stdc++.h>
#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <limits>

#define REP(i,a,b) for (int i = a; i < b; i++)

// Type Aliases for 1D and 2D vectors with initialization
#define vi(n, val) vector<int>(n, val) // 1D vector of ints with size n, initialized to val
#define vll(n, val) vector<long long>(n, val) // 1D vector of long longs with size n, initialized to val
#define ll long long
#define vvi(n, m, val) vector<vector<int>>(n, vector<int>(m, val)) // 2D vector of ints (n x m), initialized to val
#define vvll(n, m, val) vector<vector<long long>>(n, vector<long long>(m, val)) // 2D vector of long longs (n x m), initialized to val

#define LL_INF std::numeric_limits<long long int>::max()
#define INF std::numeric_limits<int>::max()


using namespace std;


template <typename T>
void pV(const std::vector<T>& vec, const std::string& label = "Vector") {
    std::cout << label << ": [ ";
    for (const auto& elem : vec) {
        std::cout << elem << " ";
    }
    std::cout << "]" << std::endl;
}


void dfs(int s, vector<bool> *visited, vector<int> (*adj)[]) {
    if ((*visited)[s]) return;
    (*visited)[s] = true;
    // process node s


    for (auto u: (*adj)[s]) {
        dfs(u, visited, adj);
    }
}
/*
// DEPTH-FRIRST-SEARCH
vector<int> adj[N];                                                          
vector<bool> visited(N, false);
int u, v;
for(int i = 0; i < M;i++){
    cin >> u >> v;
    u--;
    v--;
    adj[u].push_back(v);
    adj[v].push_back(u);
}
*/

vector<long long> dijkstra(int N, int x, vector<vector<pair<int,int>>> *adj){
    vector<bool> processed(N, false);
    vector<long long> distance(N, LL_INF);
    priority_queue<pair<long long,int>> q;
    //for (int i = 1; i <= n; i++) distance[i] = INF;
    distance[x] = 0;
    q.push({0,x});
    while (!q.empty()) {
        int a = q.top().second; q.pop();
        if (processed[a]) continue;
        processed[a] = true;
        for (auto u : (*adj)[a]) {
            int b = u.first, w = u.second;
            if (distance[a]+w < distance[b]) {
                distance[b] = distance[a]+w;
                q.push({-distance[b],b});
            }
        }
    }
    return distance;


}


/*
DIJKSTRA
//vector<vector<pair<int,int>>> adj(N, vector<pair<int, int>>(N));
*/



struct Event {
    int x, type, y1, y2;
    bool operator<(const Event& other) const {
        return x < other.x || (x == other.x && type < other.type);
    }
};

class SegmentTree {
public:
    SegmentTree(int size) {
        this->size = size;
        tree.assign(4 * size, 0);
    }

    void add(int node, int start, int end, int idx, int val) {
        if (start == end) {
            tree[node] += val;
        } else {
            int mid = (start + end) / 2;
            if (idx <= mid) add(2 * node, start, mid, idx, val);
            else add(2 * node + 1, mid + 1, end, idx, val);
            tree[node] = tree[2 * node] + tree[2 * node + 1];
        }
    }

    int query(int node, int start, int end, int l, int r) {
        if (r < start || end < l) return 0;
        if (l <= start && end <= r) return tree[node];
        int mid = (start + end) / 2;
        return query(2 * node, start, mid, l, r) + query(2 * node + 1, mid + 1, end, l, r);
    }

private:
    int size;
    vector<int> tree;
};

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    // Your code starts here
    int n;
    cin >> n;

    vector<Event> events;
    set<int> y_coords;

    REP(i, 0, n){
        int x1, y1, x2, y2;
        cin >> x1 >> y1 >> x2 >> y2;

        if (x1 == x2) {
            if (y1 > y2) swap(y1, y2);
            events.push_back({x1, 2, y1, y2});
        } else {
            if (x1 > x2) swap(x1, x2);
            events.push_back({x1, 1, y1, y1});
            events.push_back({x2, -1, y1, y1});
            y_coords.insert(y1);
        }
    }

    map<int, int> compress;
    int idx = 0;
    for (int y : y_coords) {
        compress[y] = idx++;
    }

    sort(events.begin(), events.end());

    SegmentTree seg_tree(idx);

    int intersections = 0;
    for (const Event& e : events) {
        if (e.type == 1) {
            seg_tree.add(1, 0, idx - 1, compress[e.y1], 1);
        } else if (e.type == -1) {
            seg_tree.add(1, 0, idx - 1, compress[e.y1], -1);
        } else {
            intersections += seg_tree.query(1, 0, idx - 1, compress[e.y1], compress[e.y2]);
        }
    }

    cout << intersections << endl;
    return 0;
}

Test details

Test 1

Verdict: ACCEPTED

input
1
1 1 -1 1

correct output
0

user output
0

Test 2

Verdict: ACCEPTED

input
1
-1 1 1 1

correct output
0

user output
0

Test 3

Verdict: ACCEPTED

input
2
2 1 -2 1
-1 2 -2 2

correct output
0

user output
0

Test 4

Verdict: ACCEPTED

input
2
-2 2 2 2
-1 0 -2 0

correct output
0

user output
0

Test 5

Verdict: ACCEPTED

input
3
3 2 -3 2
-1 3 -2 3
-3 -1 -2 -1

correct output
0

user output
0

Test 6

Verdict:

input
3
-3 3 2 3
-1 0 -3 0
-1 2 -1 -1

correct output
2

user output
0

Test 7

Verdict: ACCEPTED

input
4
4 2 -4 2
-2 4 -3 4
-4 -1 -3 -1
-1 0 3 0

correct output
0

user output
0

Test 8

Verdict:

input
4
-4 3 3 3
-1 4 4 4
-4 1 -1 1
-1 0 -1 -2

correct output
3

user output
0

Test 9

Verdict: ACCEPTED

input
5
5 2 -5 2
-2 5 -4 5
-4 -1 -3 -1
-2 0 4 0
...

correct output
0

user output
0

Test 10

Verdict:

input
5
-5 4 4 4
-1 5 5 5
-5 1 -1 1
-2 0 -2 -2
...

correct output
6

user output
2

Test 11

Verdict:

input
5
5 -2 5 -3
-5 -5 -5 -1
5 1 -4 1
1 -1 1 0
...

correct output
6

user output
1

Test 12

Verdict:

input
6
6 3 -6 3
-3 6 -5 6
-5 -1 -4 -1
-2 2 -1 2
...

correct output
5

user output
0

Test 13

Verdict:

input
6
-6 5 4 5
-2 6 0 6
1 -1 3 -1
0 0 -3 0
...

correct output
8

user output
0

Test 14

Verdict: ACCEPTED

input
7
7 3 6 3
-6 -3 7 -3
-4 -6 -2 -6
-2 -2 3 -2
...

correct output
0

user output
0

Test 15

Verdict:

input
7
-7 6 5 6
-2 7 0 7
2 -2 4 -2
0 0 -3 0
...

correct output
10

user output
0

Test 16

Verdict:

input
10
10 5 9 5
-8 -4 10 -4
-6 -9 -2 -9
-2 -3 4 -3
...

correct output
9

user output
0

Test 17

Verdict:

input
10
-7 -10 9 -10
9 -1 9 0
-4 -4 -7 -4
4 3 -8 3
...

correct output
24

user output
5

Test 18

Verdict:

input
10
-9 4 -9 7
-8 0 1 0
-1 8 -1 -10
-10 -6 -5 -6
...

correct output
24

user output
0

Test 19

Verdict:

input
10
8 1 8 -7
7 5 7 2
2 -6 2 -8
-6 -10 -6 4
...

correct output
24

user output
0

Test 20

Verdict:

input
10
-9 8 7 8
-3 9 10 9
-9 2 -2 2
-3 0 -3 -4
...

correct output
24

user output
3

Test 21

Verdict:

input
10
9 -4 9 -6
-9 -10 -9 -3
10 2 -8 2
2 -2 2 1
...

correct output
21

user output
6

Test 22

Verdict:

input
10
-6 6 -4 6
10 5 -1 5
-4 1 -4 -5
-9 -9 -9 -2
...

correct output
24

user output
3

Test 23

Verdict:

input
50
50 22 44 22
-38 -20 50 -20
-27 -41 -10 -41
-11 -16 17 -16
...

correct output
576

user output
28

Test 24

Verdict:

input
50
-32 -48 44 -48
45 -7 45 -2
-18 -17 -35 -17
20 12 -38 12
...

correct output
621

user output
55

Test 25

Verdict:

input
50
-43 21 -43 34
-38 1 7 1
-6 40 -6 -49
-46 -30 -25 -30
...

correct output
616

user output
24

Test 26

Verdict:

input
50
40 5 40 -33
36 22 36 11
10 -29 10 -36
-28 -50 -28 20
...

correct output
624

user output
45

Test 27

Verdict:

input
50
-45 37 33 37
-14 42 48 42
-41 11 -10 11
-15 2 -15 -1
...

correct output
576

user output
58

Test 28

Verdict:

input
100
100 44 87 44
-75 -40 100 -40
-53 -82 -21 -82
-23 -31 34 -31
...

correct output
2464

user output
190

Test 29

Verdict:

input
100
-63 -95 87 -95
90 -13 90 -3
-36 -34 -69 -34
40 24 -76 24
...

correct output
2475

user output
136

Test 30

Verdict:

input
100
-86 42 -86 68
-76 2 14 2
-13 80 -13 -97
-92 -59 -51 -59
...

correct output
2500

user output
144

Test 31

Verdict:

input
100
81 9 81 -66
71 43 71 22
20 -57 20 -72
-55 -99 -55 40
...

correct output
2464

user output
144

Test 32

Verdict:

input
100
-89 75 67 75
-27 84 96 84
-82 22 -21 22
-29 4 -29 -3
...

correct output
2491

user output
90

Test 33

Verdict:

input
200
199 88 173 88
-149 -79 200 -79
-106 -163 -41 -163
-45 -62 68 -62
...

correct output
9984

user output
511

Test 34

Verdict:

input
200
-126 -190 173 -190
180 -26 180 -6
-72 -68 -139 -68
80 48 -152 48
...

correct output
9919

user output
247

Test 35

Verdict:

input
200
-172 83 -172 136
-152 4 28 4
-25 159 -25 -193
-184 -117 -101 -117
...

correct output
9991

user output
471

Test 36

Verdict:

input
200
161 19 161 -131
143 86 143 44
39 -114 39 -144
-110 -198 -110 80
...

correct output
9999

user output
703

Test 37

Verdict:

input
10000
9944 4407 8652 4407
-7438 -3954 9981 -3954
-5278 -8154 -2068 -8154
-2242 -3089 3395 -3089
...

correct output
24992431

user output
1168772

Test 38

Verdict:

input
10000
-6299 -9482 8631 -9482
8955 -1294 8955 -305
-3589 -3393 -6912 -3393
3977 2386 -7601 2386
...

correct output
24999775

user output
1135112

Test 39

Verdict:

input
10000
-8586 4163 -8586 6799
-7574 217 1386 217
-1259 7926 -1259 -9626
-9188 -5855 -5042 -5855
...

correct output
24999856

user output
1213073

Test 40

Verdict:

input
10000
8013 945 8013 -6546
7113 4297 7113 2181
1951 -5678 1951 -7171
-5510 -9876 -5510 3969
...

correct output
24999996

user output
1179128