Submission details
Task:Closest points
Sender:aalto25k_003
Submission time:2025-11-12 17:33:15 +0200
Language:C++ (C++17)
Status:READY
Result:
Test results
testverdicttime
#10.00 sdetails
#2ACCEPTED0.15 sdetails
#31.00 sdetails
#4--details
#5ACCEPTED0.00 sdetails
#6--details
#7ACCEPTED0.00 sdetails
#8ACCEPTED0.00 sdetails
#9ACCEPTED0.00 sdetails
#10ACCEPTED0.13 sdetails
#11ACCEPTED0.00 sdetails
#12ACCEPTED0.00 sdetails
#13ACCEPTED0.12 sdetails
#14ACCEPTED0.00 sdetails
#15ACCEPTED0.00 sdetails
#16--details
#17ACCEPTED0.12 sdetails
#18ACCEPTED0.00 sdetails

Code

#include <bits/stdc++.h>
using namespace std;

typedef long long C;
typedef complex<C> P;
#define X real()
#define Y imag()

/**
 *
 * import sys
 
n = int(input())
points = []
for _ in range(n):
    x, y = map(int, input().split())
    points.append((x, y))
 
def square_distance(x1, y1, x2, y2):
    return (x1 - x2) ** 2 + (y1 - y2) ** 2
 
min_square_distance = sys.maxsize
points.sort(key=lambda p: p[0])
 
for i in range(n):
    for j in range(i - 1, 0, -1):
        if points[i][0] - min_square_distance <= points[j][0]:
            square_dist = square_distance(points[j][0], points[j][1], points[i][0], points[i][1])
            min_square_distance = min(min_square_distance, square_dist)
        else:
            break
 
 
print(min_square_distance)
 */


struct point {
    long long x;
    long long y;
};

long long d2(const point& a, const point& b) {
    point ab = {a.x - b.x, a.y - b.y};
    return ab.x*ab.x + ab.y*ab.y;
}

bool cmp(const point&a, const point&b) {
    return a.x < b.x;
}

int main() {
    int n;
    cin >> n;

    vector<point> points;

    for(int i =0; i < n; i++) {
        long long x, y;
        cin >> x >> y;
        points.push_back({x, y});
    }

    long long mind2 = LLONG_MAX;

    sort(points.begin(), points.end(), cmp);

    // for (const auto& point : points) {
    //     cout << point.x << ' ' << point.y << '\n';
    // }

    for(int i = 0; i < n; i++) {
        for(int j = i-1; j >=0; j--) {
            if(points[i].x - mind2 <= points[j].x) {
                long long sd = d2(points[j], points[i]);
                mind2 = min(mind2, sd);
            }
            else break;
        }
    }

    cout << mind2 << '\n';

    return 0;
}

/**
 * for i in range(n):
    for j in range(i - 1, 0, -1):
        if points[i][0] - min_square_distance <= points[j][0]:
            square_dist = square_distance(points[j][0], points[j][1], points[i][0], points[i][1])
            min_square_distance = min(min_square_distance, square_dist)
        else:
            break
 */

Test details

Test 1

Verdict:

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

correct output
1

user output
10

Feedback: Incorrect character on line 1 col 2: expected "1", got "10"

Test 2

Verdict: ACCEPTED

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

correct output
1

user output
1

Test 3

Verdict:

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

correct output
25413170

user output
43558105

Feedback: Incorrect character on line 1 col 1: expected "25413170", got "43558105"

Test 4

Verdict:

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

correct output
1000000

user output
(empty)

Test 5

Verdict: ACCEPTED

input
4
0 0
0 3
3 0
1 1

correct output
2

user output
2

Test 6

Verdict:

input
200000
1 0
1 1
1 2
1 3
...

correct output
1

user output
(empty)

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:

input
200000
1 0
1 2
1 4
1 6
...

correct output
4

user output
(empty)

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