• 简单几何(判断矩形的位置) UVALive 7070 The E-pang Palace(14广州B)


    题目传送门

    题意:给了一些点,问组成两个不相交的矩形的面积和最大

    分析:暴力枚举,先找出可以组成矩形的两点并保存起来(vis数组很好),然后写个函数判断四个点是否在另一个矩形内部。当时没有保存矩形,用for来找矩形,结果写糊涂了忘记判断回形的情况。。。

    /************************************************
    * Author        :Running_Time
    * Created Time  :2015/11/6 星期五 17:00:44
    * File Name     :B_2.cpp
     ************************************************/
    
    #include <cstdio>
    #include <algorithm>
    #include <iostream>
    #include <sstream>
    #include <cstring>
    #include <cmath>
    #include <string>
    #include <vector>
    #include <queue>
    #include <deque>
    #include <stack>
    #include <list>
    #include <map>
    #include <set>
    #include <bitset>
    #include <cstdlib>
    #include <ctime>
    using namespace std;
    
    #define lson l, mid, rt << 1
    #define rson mid + 1, r, rt << 1 | 1
    typedef long long ll;
    const int N = 2e2 + 10;
    const int INF = 0x3f3f3f3f;
    const int MOD = 1e9 + 7;
    const double EPS = 1e-10;
    const double PI = acos (-1.0);
    struct Point    {
        int x, y;
        Point () {}
        Point (int x, int y) : x (x), y (y) {}
        bool operator < (const Point &r) const {
            if (x == r.x)   return y < r.y;
            else    return x < r.x;
        }
    }p[33];
    struct Matrix   {
        Point a, b;
        Matrix () {}
        Matrix (Point a, Point b) : a (a), b (b) {}
    };
    vector<Matrix> mat;
    bool vis[N][N];
    
    int inside(Point p, Point a, Point b)  {
        if (p.x >= a.x && p.x <= b.x
            && p.y <= a.y && p.y >= b.y)    {
            if (p.x > a.x && p.x < b.x
                && p.y < a.y && p.y > b.y)  return -1;
            else    return 1;
        }
        else    return 0;
    }
    
    int area_mat(int i) {
        return (mat[i].b.x - mat[i].a.x) * (mat[i].a.y - mat[i].b.y);
    }
    
    int judge(int i, int j) {
        Point ic = Point (mat[i].a.x, mat[i].b.y),
              id = Point (mat[i].b.x, mat[i].a.y);
        int res1 = inside (mat[i].a, mat[j].a, mat[j].b);
        int res2 = inside (mat[i].b, mat[j].a, mat[j].b);
        int res3 = inside (ic, mat[j].a, mat[j].b);
        int res4 = inside (id, mat[j].a, mat[j].b);
        if (!res1 && !res2 && !res3 && !res4)   return 0;
        else if (res1 == -1 && res2 == -1 && res3 == -1 && res4 == -1)   return -1;
        else    return 1;
    }
    
    int main(void)    {
        int n;
        while (scanf ("%d", &n) == 1)   {
            if (!n) break;
            mat.clear ();
            memset (vis, false, sizeof (vis));
            for (int i=0; i<n; ++i)   {
                scanf ("%d%d", &p[i].x, &p[i].y);
                vis[p[i].x][p[i].y] = true;
            }
            sort (p, p+n);
            for (int i=0; i<n; ++i) {
                int x1 = p[i].x, y1 = p[i].y;
                for (int j=i+1; j<n; ++j)   {
                    int x2 = p[j].x, y2 = p[j].y;
                    if (x1 >= x2 || y1 <= y2)   continue;
                    if (!vis[x1][y2] || !vis[x2][y1])   continue;
                    mat.push_back (Matrix (Point (x1, y1), Point (x2, y2)));
                }
            }
            int ans = 0;
            for (int i=0; i<mat.size (); ++i)   {
                for (int j=i+1; j<mat.size (); ++j) {
                    int res1 = judge (i, j);
                    int res2 = judge (j, i);
                    if (!res1 && !res2) {
                        ans = max (ans, area_mat (i) + area_mat (j));
                    }
                    if (res1 == -1 || res2 == -1)   {
                        ans = max (ans, max (area_mat (i), area_mat (j)));
                    }
                }
            }
            
            if (ans == 0)   puts ("imp");
            else    printf ("%d
    ", ans);
        }
    
       //cout << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.
    ";
    
        return 0;
    }
    

     

    这个很挫的代码放在这留个念。。。

    /************************************************
    * Author        :Running_Time
    * Created Time  :2015/10/14 星期三 14:59:33
    * File Name     :B.cpp
     ************************************************/
    
    #include <cstdio>
    #include <algorithm>
    #include <iostream>
    #include <sstream>
    #include <cstring>
    #include <cmath>
    #include <string>
    #include <vector>
    #include <queue>
    #include <deque>
    #include <stack>
    #include <list>
    #include <map>
    #include <set>
    #include <bitset>
    #include <cstdlib>
    #include <ctime>
    using namespace std;
    
    const int N = 33;
    const int M = 210;
    const int INF = 0x3f3f3f3f;
    struct Point    {
        int x, y;
        bool operator < (const Point &r) const  {
            if (x == r.x)   return y < r.y;
            else    return x < r.x;
        }
    }p[N];
    vector<int> vx[M], vy[M];
    
    int cal(int la, int lb) {
        if (la < 0) la = -la;
        if (lb < 0) lb = -lb;
        return la * lb;
    }
    
    int main(void)    {
        int n;
        while (scanf ("%d", &n) == 1)   {
            if (!n) break;
            for (int i=0; i<=200; ++i)  {
                vx[i].clear (); vy[i].clear ();
            }
            for (int i=1; i<=n; ++i)    {
                scanf ("%d%d", &p[i].x, &p[i].y);
            }
            sort (p+1, p+1+n);
            for (int i=1; i<=n; ++i)    {
                vx[p[i].x].push_back (i);   vy[p[i].y].push_back (i);
            }
            int ans = 0;
            bool flag = false;
            for (int i=1; i<=n; ++i)    {           //i one
                int x = p[i].x, y = p[i].y;
                if (vx[x].size () <= 1 || vy[y].size () <= 1)   continue;
                for (int j=0; j<vx[x].size (); ++j) {       //j two
                    int jj = vx[x][j];
                    if (jj == i || p[jj].y <= y)  continue;
                    int jy = p[jj].y;
                    for (int k=0; k<vy[y].size (); ++k) {       //k three
                        int kk = vy[y][k];
                        if (kk == i || p[kk].x <= x)    continue;
                        int kx = p[kk].x;
                        if (vx[kx].size () <= 1)    continue;
                        for (int l=0; l<vx[kx].size (); ++l)    {       //l four
                            int ll = vx[kx][l];
                            if (ll == kk || p[ll].y <= y)   continue;
                            if (p[ll].y == jy)  {                            //find the first rectangle
                                
                                if (vy[jy].size () >= 4)    {
                                    for (int r=0; r<vy[jy].size (); ++r)    {
                                        int rr = vy[jy][r];
                                        if (rr == ll || rr == jj)   continue;
                                        for (int r3=0; r3<vy[jy].size (); ++r3) {
                                            int r4 = vy[jy][r3];
                                            if (r4 == ll || r4 == jj || r4 == rr)   continue;
                                            int xx = p[rr].x, kkx = p[r4].x;
                                            if (x <= xx && xx <= kx)    continue;
                                            if (x <= kkx && kkx <= kx)  continue;
                                            if (vx[xx].size () <= 1 || vx[kkx].size () <= 1)    continue;
                                            for (int o=0; o<vx[xx].size (); ++o)    {
                                                int oo = vx[xx][o];
                                                if (oo == rr || p[oo].y <= jy)  continue;
                                                int jjy = p[oo].y;
                                                for (int u=0; u<vx[kkx].size (); ++u)   {
                                                    int uu = vx[kkx][u];
                                                    if (uu == r4 || p[uu].y != jjy) continue;
                                                    flag = true;
                                                    ans = max (ans, cal (kx - x, jy - y) + cal (kkx - xx, jjy - jy));
                                                }
                                            }
                                        }
                                    }
                                }
    
                                for (int yy=jy+1; yy<=200; ++yy)    {
                                    if (vy[yy].size () <= 1)    continue;
                                    for (int yi=0; yi<vy[yy].size (); ++yi) {
                                        int ii = vy[yy][yi];
                                        int xx = p[ii].x, yy = p[ii].y;     //to find the second rectangle
                                        for (int j3=0; j3<vx[xx].size (); ++j3)  {
                                            int j4 = vx[xx][j3];
                                            if (j4 == ii || p[j4].y <= yy)  continue;
                                            int jjy = p[j4].y;
                                            for (int k3=0; k3<vy[yy].size (); ++k3) {
                                                int k4 = vy[yy][k3];
                                                if (k4 == ii)  continue;
                                                int kkx = p[k4].x;
                                                for (int l3=0; l3<vx[kkx].size (); ++l3)    {
                                                    int l4 = vx[kkx][l3];
                                                    if (l4 == k4 || p[l4].y != jjy)   continue;
                                                    flag = true;
                                                    ans = max (ans, cal (kx - x, jy - y) + cal (kkx - xx, jjy - yy));
                                                }
                                            }
                                        }
                                    }
                                }
                                
    
                                if (vx[kx].size () >= 4)    {
                                    for (int r=0; r<vx[kx].size (); ++r)    {
                                        int rr = vx[kx][r];
                                        if (rr == kk || rr == ll)   continue;
                                        for (int r3=0; r3<vy[jy].size (); ++r3) {
                                            int r4 = vx[kx][r3];
                                            if (r4 == kk || r4 == ll || r4 == rr)   continue;
                                            int yy = p[rr].y, jjy = p[r4].y;
                                            if (yy > jjy)   swap (yy, jjy);
                                            if (y <= yy && yy <= jy)    continue;
                                            if (y <= jjy && jjy <= jy)  continue;
                                            if (vy[yy].size () <= 1 || vy[jjy].size () <= 1)    continue;
                                            for (int o=0; o<vy[yy].size (); ++o)    {
                                                int oo = vy[yy][o];
                                                if (oo == rr || p[oo].x <= kx)  continue;
                                                int kkx = p[oo].x;
                                                for (int u=0; u<vy[jjy].size (); ++u)   {
                                                    int uu = vy[jjy][u];
                                                    if (uu == r4 || p[uu].x != kkx) continue;
                                                    flag = true;
                                                    ans = max (ans, cal (kx - x, jy - y) + cal (kkx - kx, jjy - jy));
                                                }
                                            }
                                        }
                                    }
                                }
    
                                for (int x5=kx+1; x5<=200; ++x5)   {
                                    if (vx[x5].size () <= 1)    continue;
                                    for (int xi=0; xi<vx[x5].size (); ++xi) {
                                        int ii = vx[x5][xi];
                                        int xx = p[ii].x, yy = p[ii].y;     //to find the second rectangle
                                        for (int j3=0; j3<vx[x5].size (); ++j3) {
                                            int jj = vx[x5][j3];
                                            if (jj == ii || p[jj].y <= yy)  continue;
                                            int jjy = p[jj].y;
                                            if (vy[yy].size () <= 1)    continue;
                                            for (int k3=0; k3<vy[yy].size (); ++k3) {
                                                int k4 = vy[yy][k3];
                                                if (k4 == ii || p[k4].x <= xx)  continue;
                                                int kkx = p[k4].x;
                                                for (int l3=0; l3<vx[kkx].size (); ++l3)    {
                                                    int l4 = vx[kkx][l3];
                                                    if (l4 == k4 || p[l4].y != jjy) continue;
                                                    flag  = true;
                                                    ans = max (ans, cal (kx - x, jy - y) + cal (kkx - xx, jjy - yy));
                                                }
                                            }
                                        }
                                    }
                                }
                            }
                        }
                    }
                }
            }
    
            if (flag)    {
                printf ("%d
    ", ans);
            }
            else    puts ("imp");
        }
    
        return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/Running-Time/p/4943280.html
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