• [POJ2398]Toy Storage(计算几何,二分,判断点在线段的哪一侧)


    题目链接:http://poj.org/problem?id=2398

    思路RT,和POJ2318一样,就是需要排序,输出也不一样。手工画一下就明白了。注意叉乘的时候a×b是判断a在b的顺时针还是逆时针侧,>0是顺时针测,<0是逆时针侧,本题对应看成右、左侧,特别注意。

      1 /*
      2 ━━━━━┒ギリギリ♂ eye!
      3 ┓┏┓┏┓┃キリキリ♂ mind!
      4 ┛┗┛┗┛┃\○/
      5 ┓┏┓┏┓┃ /
      6 ┛┗┛┗┛┃ノ)
      7 ┓┏┓┏┓┃
      8 ┛┗┛┗┛┃
      9 ┓┏┓┏┓┃
     10 ┛┗┛┗┛┃
     11 ┓┏┓┏┓┃
     12 ┛┗┛┗┛┃
     13 ┓┏┓┏┓┃
     14 ┃┃┃┃┃┃
     15 ┻┻┻┻┻┻
     16 */
     17 #include <algorithm>
     18 #include <iostream>
     19 #include <iomanip>
     20 #include <cstring>
     21 #include <climits>
     22 #include <complex>
     23 #include <fstream>
     24 #include <cassert>
     25 #include <cstdio>
     26 #include <bitset>
     27 #include <vector>
     28 #include <deque>
     29 #include <queue>
     30 #include <stack>
     31 #include <ctime>
     32 #include <set>
     33 #include <map>
     34 #include <cmath>
     35 using namespace std;
     36 #define fr first
     37 #define sc second
     38 #define cl clear
     39 #define BUG puts("here!!!")
     40 #define W(a) while(a--)
     41 #define pb(a) push_back(a)
     42 #define Rint(a) scanf("%d", &a)
     43 #define Rll(a) scanf("%lld", &a)
     44 #define Rs(a) scanf("%s", a)
     45 #define Cin(a) cin >> a
     46 #define FRead() freopen("in", "r", stdin)
     47 #define FWrite() freopen("out", "w", stdout)
     48 #define Rep(i, len) for(int i = 0; i < (len); i++)
     49 #define For(i, a, len) for(int i = (a); i < (len); i++)
     50 #define Cls(a) memset((a), 0, sizeof(a))
     51 #define Clr(a, x) memset((a), (x), sizeof(a))
     52 #define Full(a) memset((a), 0x7f7f, sizeof(a))
     53 #define lrt rt << 1
     54 #define rrt rt << 1 | 1
     55 #define pi 3.14159265359
     56 #define RT return
     57 #define lowbit(x) x & (-x)
     58 #define onenum(x) __builtin_popcount(x)
     59 typedef long long LL;
     60 typedef long double LD;
     61 typedef unsigned long long ULL;
     62 typedef pair<int, int> pii;
     63 typedef pair<string, int> psi;
     64 typedef map<string, int> msi;
     65 typedef vector<int> vi;
     66 typedef vector<LL> vl;
     67 typedef vector<vl> vvl;
     68 typedef vector<bool> vb;
     69 
     70 typedef struct Point {
     71     int x, y;
     72     Point() {}
     73     Point(int xx, int yy) : x(xx), y(yy) {}
     74     bool operator==(Point p) {
     75         return x == p.x && y == p.y;
     76     }
     77     bool operator<(Point p) {
     78         if(x == p.x) return y < p.y;
     79         return x < p.x;
     80     }
     81 }Point;
     82 typedef struct Line {
     83     Point a, b;
     84     Line() {}
     85     Line(Point aa, Point bb) : a(aa), b(bb) {}
     86 }Line;
     87 const int maxn = 5050;
     88 const int maxm = 5050;
     89 Line line[maxn];
     90 Point s, e;
     91 int n, m;
     92 int tmp[maxm];
     93 int ans[maxm];
     94 
     95 int ok(Point p, Line l) {
     96     RT ((l.b.y-l.a.y)*(p.x-l.a.x)-(p.y-l.a.y)*(l.b.x-l.a.x));
     97 }
     98 
     99 bool cmp(Line a, Line b) {
    100     if(a.a == b.a) return a.b < b.b;
    101     return a.a < b.a;
    102 }
    103 
    104 int main() {
    105     // FRead();
    106     int x1, x2;
    107     bool flag = 1;
    108     while(~Rint(n) && n) {
    109         Cls(tmp); Cls(ans);
    110         Rint(m); Rint(s.x); Rint(s.y); Rint(e.x); Rint(e.y);
    111         Rep(i, n) {
    112             Rint(x1); Rint(x2);
    113             line[i] = Line(Point(x1, s.y), Point(x2, e.y));
    114         }
    115         line[n] = Line(Point(e.x, s.y), e);
    116         Point p;
    117         sort(line, line+n+1, cmp);
    118         W(m) {
    119             Rint(p.x); Rint(p.y);
    120             int l = 0, r = n;
    121             int ret;
    122             while(l <= r) {
    123                 int m = (l + r) >> 1;
    124                 if(ok(p, line[m]) > 0) {
    125                     ret = m;
    126                     r = m - 1;
    127                 }
    128                 else l = m + 1;
    129             }
    130             tmp[ret]++;
    131         }
    132         int hi = 0;
    133         Rep(i, n+1) {
    134             hi = max(hi, tmp[i]);
    135             ans[tmp[i]]++;
    136         }
    137         printf("Box
    ");
    138         For(i, 1, hi+1) {
    139             if(ans[i]) printf("%d: %d
    ", i, ans[i]);
    140         }
    141     }
    142     RT 0;
    143 }
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  • 原文地址:https://www.cnblogs.com/kirai/p/5543904.html
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