• hdu1558计算几何加并查集


    不知道杭电题目分类是咋分的,这题我是在“匹配”里找到的,太假了。这明显是计算几何加并查集嘛。当然,并查集部分很简单,主要就是计算几何了,打了两个小时,我了个去,计算几何功底还是不行啊。。。

    /*
     * hdu1558/win.cpp
     * Created on: 2012-8-16
     * Author    : ben
     */
    #include <cstdio>
    #include <cstdlib>
    #include <cstring>
    #include <cmath>
    #include <ctime>
    #include <iostream>
    #include <algorithm>
    #include <queue>
    #include <set>
    #include <map>
    #include <stack>
    #include <string>
    #include <vector>
    #include <deque>
    #include <list>
    #include <functional>
    #include <numeric>
    #include <cctype>
    using namespace std;
    const int MAXN = 1005;
    
    #define zero(x) (((x)>0?(x):-(x))<eps)
    const double eps = 1e-8;
    typedef double typec;
    typedef struct MyPoint {
        typec x;
        typec y;
    }MyPoint;
    typedef struct MyLine {
        MyPoint a;
        MyPoint b;
    }MyLine;
    inline double xmult(MyPoint p1, MyPoint p2, MyPoint p0) {
        return (p1.x - p0.x) * (p2.y - p0.y) - (p2.x - p0.x) * (p1.y - p0.y);
    }
    int dots_inline(MyPoint p1, MyPoint p2, MyPoint p3) {
        return !xmult(p1, p2, p3);
    }
    inline int same_side(MyPoint p1, MyPoint p2, MyLine l) {
        return xmult(l.a, p1, l.b) * xmult(l.a, p2, l.b) > eps;
    }
    inline typec xmult(typec x1, typec y1, typec x2, typec y2, typec x0, typec y0) {
        return (x1 - x0) * (y2 - y0) - (x2 - x0) * (y1 - y0);
    }
    inline int dot_online_in(typec x, typec y, typec x1, typec y1, typec x2,
            typec y2) {
        if ((zero(x-x1) && zero(y-y1)) || (zero(x-x2) && zero(y-y2))) {
            return 2;
        }
        if (!zero(xmult(x,y,x1,y1,x2,y2))) {
            return -1;
        }
        if ((x1 - x) * (x2 - x) < eps && (y1 - y) * (y2 - y) < eps) {
            return 0;
        }
        return 1;
    }
    inline int dot_online_in(const MyPoint &p, const MyLine &l) {
        return dot_online_in(p.x, p.y, l.a.x, l.a.y, l.b.x, l.b.y);
    }
    
    //包括端点和部分重合
    bool intersect_in(MyLine u, MyLine v) {
        if (!dots_inline(u.a, u.b, v.a) || !dots_inline(u.a, u.b, v.b))
            return !same_side(u.a, u.b, v) && !same_side(v.a, v.b, u);
        return dot_online_in(u.a, v) || dot_online_in(u.b, v)
                || dot_online_in(v.a, u) || dot_online_in(v.b, u);
    }
    int myset[MAXN], N;
    MyLine lines[MAXN];
    void initset() {
        for(int i = 0; i < MAXN; i++) {
            myset[i] = i;
        }
    }
    inline int myfind(int x) {
        return myset[x];
    }
    void mymerge(int a, int b) {
        if(a > b) {
            a = a ^ b;
            b = a ^ b;
            a = a ^ b;
        }
        for(int k = 0; k <= N; k++) {
            if(myset[k] == b) {
                myset[k] = a;
            }
        }
    }
    int main() {
    #ifndef ONLINE_JUDGE
        freopen("data.in", "r", stdin);
    #endif
        int T, K, t;
        char c;
        scanf("%d", &T);
        while(T--) {
            initset();
            scanf("%d", &K);
            N = 0;
            while(K--) {
                scanf(" %c", &c);
                if(c == 'P') {
                    scanf("%lf%lf%lf%lf", &lines[N].a.x, &lines[N].a.y, &lines[N].b.x, &lines[N].b.y);
                    for(int i = 0; i < N; i++) {
                        if(intersect_in(lines[i], lines[N])) {
                            mymerge(myfind(i), myfind(N));
                        }
                    }
                    N++;
                }else if(c == 'Q'){
                    scanf("%d", &t);
                    t = myfind(t - 1);
                    int ans = 0;
                    for(int i = 0; i < N; i++) {
                        if(myset[i] == t) {
                            ans++;
                        }
                    }
                    printf("%d\n", ans);
                }
            }
            if(T > 0) {
                putchar('\n');
            }
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/moonbay/p/2645211.html
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