2.11寻找最近的点对 (给定一系列的点,求出距离最短的点对)
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#include<iostream>#include<vector>#include<algorithm>using namespace std;/*int pow(int a,int index){int result=1;int temp=a;for(;index;index>>=1){if(index&1)result*=temp;temp*=temp;}return result;}*//*bool aa(int a,int b){return a<b;}*/class Point{public: Point(int x,int y):x_(x),y_(y){}Point():x_(0),y_(0){} static bool OrderByX(const Point& left, const Point& right) { return left.x_ < right.x_; } static bool OrderByY(const Point& left, const Point& right) { return left.y_ < right.y_; } int x_; int y_; }; float Distance(const Point& left, const Point& right){ return sqrt(pow(float(left.x_ - right.x_), 2) + pow(float(left.y_ - right.y_), 2)); }; int NearestPoints(const std::vector<Point>& points, int start, int end, Point* point1, Point* point2) { if (end > start) { int middle = (start + end) / 2; int left_min_distance = NearestPoints(points, start, middle, point1, point2); int right_min_distance = NearestPoints(points, middle + 1, end, point1, point2); int min_distance = left_min_distance > right_min_distance ? right_min_distance : left_min_distance; std::vector<Point> left_part_points; for (int i = start; i <= middle; ++i) { if (points[middle].x_ - points[i].x_ <= min_distance) { left_part_points.push_back(points[i]); } } sort(left_part_points.begin(), left_part_points.end(), Point::OrderByY); std::vector<Point> right_part_points; for (int i = middle + 1; i <= end; ++i) { if (points[i].x_ - points[middle].x_ <= min_distance) { right_part_points.push_back(points[i]); } } sort(right_part_points.begin(), right_part_points.end(), Point::OrderByY); int distance_y = 0; int point_distance = 0; for(int i = 0; i < left_part_points.size(); ++i) { for(int j = 0; j < right_part_points.size(); ++j) { distance_y = left_part_points[i].y_ > right_part_points[j].y_ ? left_part_points[i].y_ - right_part_points[j].y_ : right_part_points[j].y_ - left_part_points[i].y_; if (distance_y <= min_distance) { point_distance = Distance(left_part_points[i], right_part_points[j]); if (point_distance < min_distance) { min_distance = point_distance; *point1 = left_part_points[i]; *point2 = right_part_points[j]; } } } } return min_distance; } else { return 0x7FFFFFFF; } }int main(){std::vector<Point> points; points.push_back(Point(2,3)); points.push_back(Point(1,4)); points.push_back(Point(3,0)); points.push_back(Point(5,0)); points.push_back(Point(5,1)); sort(points.begin(), points.end(), Point::OrderByX); Point point1; Point point2; NearestPoints(points, 0, points.size() - 1, &point1, &point2); printf("Point1: (%d, %d) <--> Point2: (%d, %d)\n", point1.x_, point1.y_, point2.x_, point2.y_); system("pause"); return 0;}
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