CSP_202006-1_线性分类器


题目描述

#include 
#include 
#include  
#include 
#include 
#include 
#include 
using namespace std;

const int INF = 0x3f3f3f3f;

int main() {
	int n, query_times;
	vector> points; // {, }
	vector type;
	bool a_above; // > 0
	
	cin >> n >> query_times;
	for (int i = 0; i < n; i++) {
		int x, y;
		char c;
		cin >> x >> y;
		cin >> c;
		auto pair = make_pair(x,y);
		points.push_back(pair);
		type.push_back(c);
	}
	for (int i = 0; i < query_times; i++) {
		int a, b, c; // a + bx + cy 
		cin >> a >> b >> c;
		int w = a + b * points[0].first + c * points[0].second;
		if (type[0] == 'A') {
			a_above = (w > 0);
		} else {
			a_above = !(w > 0);
		}
		bool flag = true;
		for (int j = 0; j < n; j++) {
			w = a + b * points[j].first + c * points[j].second;
			bool above = (w>0);
			if (type[j] == 'A' && above != a_above) {
				flag = false;
				break;
			} else if (type[j] == 'B' && above != !(a_above)){
				flag = false;
				break;
			} else {
				// pass
			}
		}
		if (flag) cout << "Yes" << endl;
		else cout << "No" << endl;
	}
	return 0;
}

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