CSES - Aalto Competitive Programming 2024 - wk10 - Wed - Results
Submission details
Task:Closest points
Sender:aalto2024k_006
Submission time:2024-11-13 16:45:56 +0200
Language:C++ (C++17)
Status:READY
Result:ACCEPTED
Test results
testverdicttime
#1ACCEPTED0.00 sdetails
#2ACCEPTED0.20 sdetails
#3ACCEPTED0.23 sdetails
#4ACCEPTED0.26 sdetails
#5ACCEPTED0.00 sdetails
#6ACCEPTED0.26 sdetails
#7ACCEPTED0.00 sdetails
#8ACCEPTED0.00 sdetails
#9ACCEPTED0.00 sdetails
#10ACCEPTED0.13 sdetails
#11ACCEPTED0.00 sdetails
#12ACCEPTED0.00 sdetails
#13ACCEPTED0.13 sdetails
#14ACCEPTED0.00 sdetails
#15ACCEPTED0.00 sdetails
#16ACCEPTED0.25 sdetails
#17ACCEPTED0.13 sdetails
#18ACCEPTED0.00 sdetails

Compiler report

input/code.cpp: In function 'll minD(std::vector<std::pair<long long int, long long int> >)':
input/code.cpp:23:14: warning: variable 'it' set but not used [-Wunused-but-set-variable]
   23 |         auto it = activePs.begin();
      |              ^~

Code

#include<bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<ll,ll> P;


ll dist(P P1, P P2) {
    return (P2.first - P1.first) * (P2.first - P1.first) + (P2.second - P1.second) * (P2.second - P1.second);
}

ll minD(vector<P> Ps){
    ll minS = LLONG_MAX;
    ll n = Ps.size();

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

    set<P> activePs = {{Ps[0].second, Ps[0].first}};

    ll j = 0;
    for (ll i = 1; i < n; i++) {
        auto it = activePs.begin();

        ll dd = ceil(sqrt(minS));

        while (j < i && Ps[j].first < Ps[i].first - dd) {
            activePs.erase({Ps[j].second, Ps[j].first});
            j++;
        }

        auto lowerBound = activePs.lower_bound({Ps[i].second - dd, 0});
        auto upperBound = activePs.upper_bound({Ps[i].second + dd, 0});

        for (auto it = lowerBound; it != upperBound; it++) {
            minS = min(minS, dist({it->second, it->first}, Ps[i]));
        } 
        activePs.insert({Ps[i].second, Ps[i].first});
    }

    return minS;
}

int main(){
    ll n;
    cin >> n;
    vector<P> vec(n);

    for(int i=0; i<n; i++){
        ll a,b;
        cin >> a >> b;
        vec[i]=make_pair(a,b);
    }

    
    cout << minD(vec) << endl;
}

Test details

Test 1

Verdict: ACCEPTED

input
100
58 36
81 -7
46 49
87 -58
...

correct output
1

user output
1

Test 2

Verdict: ACCEPTED

input
200000
-222 -705
277 680
-436 561
528 -516
...

correct output
1

user output
1

Test 3

Verdict: ACCEPTED

input
200000
-464738043 865360844
465231470 129093134
-276549869 -21946314
111055008 -48821736
...

correct output
25413170

user output
25413170

Test 4

Verdict: ACCEPTED

input
200000
1 513001000
2 689002000
3 785003000
4 799004000
...

correct output
1000000

user output
1000000

Test 5

Verdict: ACCEPTED

input
4
0 0
0 3
3 0
1 1

correct output
2

user output
2

Test 6

Verdict: ACCEPTED

input
200000
1 0
1 1
1 2
1 3
...

correct output
1

user output
1

Test 7

Verdict: ACCEPTED

input
4
1 2
10 3
3 5
8 5

correct output
8

user output
8

Test 8

Verdict: ACCEPTED

input
4
10 6
4 10
8 3
2 3

correct output
13

user output
13

Test 9

Verdict: ACCEPTED

input
2
-999999999 -999999999
999999999 999999999

correct output
7999999984000000008

user output
7999999984000000008

Test 10

Verdict: ACCEPTED

input
200000
0 1
1 1
2 1
3 1
...

correct output
1

user output
1

Test 11

Verdict: ACCEPTED

input
8
1 10000
-1 -10000
2 0
-2 0
...

correct output
16

user output
16

Test 12

Verdict: ACCEPTED

input
3
-1000000000 -1000000000
1000000000 1000000000
0 0

correct output
2000000000000000000

user output
2000000000000000000

Test 13

Verdict: ACCEPTED

input
199999
1 1
2 1
3 1
4 1
...

correct output
1

user output
1

Test 14

Verdict: ACCEPTED

input
4
0 0
5 8
6 1
10000 0

correct output
37

user output
37

Test 15

Verdict: ACCEPTED

input
435
-842 -199
-480 798
-176 -406
792 608
...

correct output
2

user output
2

Test 16

Verdict: ACCEPTED

input
200000
1 0
1 2
1 4
1 6
...

correct output
4

user output
4

Test 17

Verdict: ACCEPTED

input
200000
0 1
2 1
4 1
6 1
...

correct output
4

user output
4

Test 18

Verdict: ACCEPTED

input
3
-1000000000 -1000000000
1000000000 1000000000
1000000000 -1000000000

correct output
4000000000000000000

user output
4000000000000000000