Task: | Closest points |
Sender: | aalto2024k_007 |
Submission time: | 2024-11-13 16:55:12 +0200 |
Language: | C++ (C++17) |
Status: | READY |
Result: | ACCEPTED |
test | verdict | time | |
---|---|---|---|
#1 | ACCEPTED | 0.00 s | details |
#2 | ACCEPTED | 0.19 s | details |
#3 | ACCEPTED | 0.46 s | details |
#4 | ACCEPTED | 0.49 s | details |
#5 | ACCEPTED | 0.00 s | details |
#6 | ACCEPTED | 0.29 s | details |
#7 | ACCEPTED | 0.00 s | details |
#8 | ACCEPTED | 0.00 s | details |
#9 | ACCEPTED | 0.01 s | details |
#10 | ACCEPTED | 0.13 s | details |
#11 | ACCEPTED | 0.00 s | details |
#12 | ACCEPTED | 0.00 s | details |
#13 | ACCEPTED | 0.13 s | details |
#14 | ACCEPTED | 0.01 s | details |
#15 | ACCEPTED | 0.01 s | details |
#16 | ACCEPTED | 0.30 s | details |
#17 | ACCEPTED | 0.14 s | details |
#18 | ACCEPTED | 0.00 s | details |
Compiler report
input/code.cpp: In function 'long long int stripClosest(std::vector<Point>&, long long int)': input/code.cpp:41:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Point>::size_type' {aka 'long unsigned int'} [-Wsign-compare] 41 | for (int i = 0; i < strip.size(); ++i) { | ~~^~~~~~~~~~~~~~ input/code.cpp:42:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Point>::size_type' {aka 'long unsigned int'} [-Wsign-compare] 42 | for (int j = i + 1; j < strip.size() && (strip[j].y - strip[i].y) < minDist && j - i <= 7; ++j) { | ~~^~~~~~~~~~~~~~
Code
#include <iostream> #include <vector> #include <cmath> #include <algorithm> #include <limits.h> using namespace std; struct Point { long long x, y; }; bool compareX(const Point& a, const Point& b) { return a.x < b.x; } bool compareY(const Point& a, const Point& b) { return a.y < b.y; } long long dist(const Point& a, const Point& b) { return (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y); } long long bruteForce(const vector<Point>& points, long long left, long long right) { long long minDist = numeric_limits<long long>::max(); for (int i = left; i < right; ++i) { for (int j = i + 1; j < right; ++j) { long long d = dist(points[i], points[j]); if (d < minDist) { minDist = d; } } } return minDist; } long long stripClosest(vector<Point>& strip, long long d) { long long minDist = d; sort(strip.begin(), strip.end(), compareY); for (int i = 0; i < strip.size(); ++i) { for (int j = i + 1; j < strip.size() && (strip[j].y - strip[i].y) < minDist && j - i <= 7; ++j) { long long d = dist(strip[i], strip[j]); if (d < minDist) { minDist = d; } } } return minDist; } long long closestUtil(vector<Point>& points, long long left, long long right) { if (right - left <= 3) { return bruteForce(points, left, right); } long long mid = left + (right - left) / 2; Point midPoint = points[mid]; long long dl = closestUtil(points, left, mid); long long dr = closestUtil(points, mid, right); long long d = min(dl, dr); vector<Point> strip; for (int i = left; i < right; ++i) { if (abs(points[i].x - midPoint.x) < d) { strip.push_back(points[i]); } } return min(d, stripClosest(strip, d)); } long long closest(vector<Point>& points, long long n) { return closestUtil(points, 0, n); } int main() { int n; cin >> n; if (n == 0) { cout << 0 << endl; return 0; } vector<Point> points(n); for (int i = 0; i < n; ++i) { cin >> points[i].x >> points[i].y; } sort(points.begin(), points.end(), compareX); cout << closest(points, n) << 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 |