Uva-10652 Board Wrapping (convex Bag)
Last Update:2015-06-25
Source: Internet
Author: User
<span id="Label3"></p><p><p>Given some rectangular coordinates, the area of the rectangle is calculated as a percentage of the convex hull enclosing these rectangular areas.</p></p><p><p>Assuming that the rectangles are placed horizontally, the coordinates of the four vertices can be calculated according to the length and width, and then the vector from the center to the vertex is calculated, and the angle is converted to the radian, and a new vector is obtained after the vector is Rotated.</p></p><p><p>Is that the center points to the new vertex, plus the center point to get the coordinates of the new Vertex. you can draw a picture to Understand.</p></p><pre><span style="color: #008080;"><span style="color: #008080;">1</span></span>#include <cstdio><span style="color: #008080;"><span style="color: #008080;">2</span></span>#include <cstring><span style="color: #008080;"><span style="color: #008080;">3</span></span>#include <cmath><span style="color: #008080;"><span style="color: #008080;">4</span></span>#include <algorithm><span style="color: #008080;"><span style="color: #008080;">5</span></span> <span style="color: #0000ff;"><span style="color: #0000ff;">using</span></span> <span style="color: #0000ff;"><span style="color: #0000ff;">namespace</span></span><span style="color: #000000;"><span style="color: #000000;">std;</span></span><span style="color: #008080;"><span style="color: #008080;">6</span></span> <span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span> <span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>PI = ACOs (-<span style="color: #800080;"><span style="color: #800080;">1.0</span></span><span style="color: #000000;"><span style="color: #000000;">);</span></span><span style="color: #008080;"><span style="color: #008080;">7</span></span> <span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span> <span style="color: #0000ff;"><span style="color: #0000ff;">int</span></span>maxn=<span style="color: #800080;"><span style="color: #800080;">2500</span></span><span style="color: #000000;"><span style="color: #000000;">;</span></span><span style="color: #008080;"><span style="color: #008080;">8</span></span> <span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>Torad (<span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>Deg) {<span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>deg/<span style="color: #800080;"><span style="color: #800080;"></span> the</span>*pi;}<span style="color: #008000;"><span style="color: #008000;">//</span></span><span style="color: #008000;"><span style="color: #008000;">angle into radians</span></span><span style="color: #008080;"><span style="color: #008080;">9</span></span> <span style="color: #008080;"><span style="color: #008080;">Ten</span></span> <span style="color: #0000ff;"><span style="color: #0000ff;">struct</span></span><span style="color: #000000;"><span style="color: #000000;"></span> point</span><span style="color: #008080;"><span style="color: #008080;"></span> one</span> <span style="color: #000000;"><span style="color: #000000;">{</span></span><span style="color: #008080;"><span style="color: #008080;"></span> a</span> <span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span><span style="color: #000000;"><span style="color: #000000;">x, y;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span>Point (<span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>x=<span style="color: #800080;"><span style="color: #800080;">0</span></span>,<span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>y=<span style="color: #800080;"><span style="color: #800080;">0</span></span><span style="color: #000000;"><span style="color: #000000;">): x (x), y (y) {}</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #000000;"><span style="color: #000000;">}p[maxn],ch[maxn];</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #000000;"><span style="color: #000000;">typedef point Vector;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #008080;"><span style="color: #008080;"></span> -</span>Vector<span style="color: #0000ff;"><span style="color: #0000ff;">operator</span></span>+ (<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& A,<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& B) {<span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>Vector (a.x+b.x, a.y+<span style="color: #000000;"><span style="color: #000000;">b.y); }</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span>Vector<span style="color: #0000ff;"><span style="color: #0000ff;">operator</span></span>- (<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>point& A,<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>point& B) {<span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>Vector (a.x-b.x, a.y-<span style="color: #000000;"><span style="color: #000000;">b.y); }</span></span><span style="color: #008080;"><span style="color: #008080;"></span> +</span>Vector<span style="color: #0000ff;"><span style="color: #0000ff;">operator</span></span>* (<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& A,<span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>P) {<span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>Vector (a.x*p, a.y*<span style="color: #000000;"><span style="color: #000000;">p); }</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span>Vector<span style="color: #0000ff;"><span style="color: #0000ff;">operator</span></span>/ (<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& A,<span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>P) {<span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>Vector (a.x/p, a.y/<span style="color: #000000;"><span style="color: #000000;">p); }</span></span><span style="color: #008080;"><span style="color: #008080;"></span> +</span> <span style="color: #008080;"><span style="color: #008080;"></span> a</span> <span style="color: #0000ff;"><span style="color: #0000ff;">BOOL</span></span> <span style="color: #0000ff;"><span style="color: #0000ff;">operator</span></span>< (<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>point& a,<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>point& B)<span style="color: #008000;"><span style="color: #008000;">//</span></span><span style="color: #008000;"><span style="color: #008000;">overloading of struct operators</span></span><span style="color: #008080;"><span style="color: #008080;"></span> at</span> <span style="color: #000000;"><span style="color: #000000;">{</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>a.x < b.x | | (a.x = = b.x && A.y <<span style="color: #000000;"><span style="color: #000000;">b.y);</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #000000;"><span style="color: #000000;">}</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span> <span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>EPS = 1e-<span style="color: #800080;"><span style="color: #800080;">8</span></span>;<span style="color: #008000;"><span style="color: #008000;">//</span></span><span style="color: #008000;"><span style="color: #008000;">comparison function</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #0000ff;"><span style="color: #0000ff;">int</span></span>DCMP (<span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>x) {<span style="color: #0000ff;"><span style="color: #0000ff;">if</span></span>(fabs (x) < Eps)<span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span> <span style="color: #800080;"><span style="color: #800080;">0</span></span>;<span style="color: #0000ff;"><span style="color: #0000ff;">Else</span></span> <span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>X <<span style="color: #800080;"><span style="color: #800080;">0</span></span>? -<span style="color: #800080;"><span style="color: #800080;">1</span></span>:<span style="color: #800080;"><span style="color: #800080;">1</span></span><span style="color: #000000;"><span style="color: #000000;">; }</span></span><span style="color: #008080;"><span style="color: #008080;"></span> in</span> <span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #0000ff;"><span style="color: #0000ff;">BOOL</span></span> <span style="color: #0000ff;"><span style="color: #0000ff;">operator</span></span>== (<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>point& a,<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>Point &<span style="color: #000000;"><span style="color: #000000;">B)</span></span><span style="color: #008080;"><span style="color: #008080;"></span> to</span> <span style="color: #000000;"><span style="color: #000000;">{</span></span><span style="color: #008080;"><span style="color: #008080;"></span> +</span> <span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>dcmp (a.x-b.x) = =<span style="color: #800080;"><span style="color: #800080;">0</span></span>&& dcmp (a.y-b.y) = =<span style="color: #800080;"><span style="color: #800080;">0</span></span><span style="color: #000000;"><span style="color: #000000;">;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #000000;"><span style="color: #000000;">}</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #008080;"><span style="color: #008080;"></span> *</span> <span style="color: #008000;"><span style="color: #008000;">//</span></span><span style="color: #008000;"><span style="color: #008000;">Basic Operations:</span></span><span style="color: #008080;"><span style="color: #008080;"></span> $</span> <span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>Dist<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& A,<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& B) {<span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>SQRT (pow (a.x-b.x,<span style="color: #800080;"><span style="color: #800080;">2</span></span>) +pow (a.y-b.y,<span style="color: #800080;"><span style="color: #800080;">2</span></span><span style="color: #000000;"><span style="color: #000000;">));}</span></span><span style="color: #008080;"><span style="color: #008080;">Panax Notoginseng</span></span> <span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>Dot (<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& A,<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& B) {<span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>a.x*b.x + a.y*<span style="color: #000000;"><span style="color: #000000;">b.y;}</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>Length (<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& A) {<span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span><span style="color: #000000;"><span style="color: #000000;">sqrt (Dot (a, a));}</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>Angle (<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& A,<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& B) {<span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>ACOs (Dot (a, B)/Length (a)/<span style="color: #000000;"><span style="color: #000000;">Length (B)); }</span></span><span style="color: #008080;"><span style="color: #008080;"></span> +</span> <span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>Cross (<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& A,<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& B) {<span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>a.x*b.y-a.y*<span style="color: #000000;"><span style="color: #000000;">b.x;}</span></span><span style="color: #008080;"><span style="color: #008080;"></span> a</span> <span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>AREA2 (point A, Point B, point C) {<span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>Cross (b-a, c-<span style="color: #000000;"><span style="color: #000000;">A);}</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #008080;"><span style="color: #008080;"></span> +</span> <span style="color: #008000;"><span style="color: #008000;">//</span></span><span style="color: #008000;"><span style="color: #008000;">Vector rotation rad is the arc counterclockwise positive</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span>Vector Rotate (<span style="color: #0000ff;"><span style="color: #0000ff;">Const</span></span>vector& A,<span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span><span style="color: #000000;"><span style="color: #000000;">Rad)</span></span><span style="color: #008080;"><span style="color: #008080;"></span> $</span> <span style="color: #000000;"><span style="color: #000000;">{</span></span><span style="color: #008080;"><span style="color: #008080;"></span> $</span> <span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span>Vector (a.x*cos (rad)-a.y*sin (rad), a.x*sin (rad) +a.y*<span style="color: #000000;"><span style="color: #000000;">cos (rad));</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #000000;"><span style="color: #000000;">}</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #0000ff;"><span style="color: #0000ff;">int</span></span><span style="color: #000000;"><span style="color: #000000;">Main ()</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #000000;"><span style="color: #000000;">{</span></span><span style="color: #008080;"><span style="color: #008080;">Wuyi</span></span> <span style="color: #008000;"><span style="color: #008000;">//</span></span><span style="color: #008000;"><span style="color: #008000;">freopen ("a.txt", "r", stdin);</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #0000ff;"><span style="color: #0000ff;">int</span></span><span style="color: #000000;"><span style="color: #000000;">t,n,n;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span><span style="color: #000000;"><span style="color: #000000;">a,b,c,d,e;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> wu</span> <span style="color: #000000;">point <span style="color: #000000;">s,s1;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span>scanf<span style="color: #800000;"><span style="color: #800000;">"</span></span><span style="color: #800000;"><span style="color: #800000;">%d</span></span><span style="color: #800000;"><span style="color: #800000;">"</span></span>,&<span style="color: #000000;"><span style="color: #000000;">t);</span></span><span style="color: #008080;"><span style="color: #008080;"></span> about</span> <span style="color: #0000ff;"><span style="color: #0000ff;"></span> while</span>(t--<span style="color: #000000;"><span style="color: #000000;">)</span></span><span style="color: #008080;"><span style="color: #008080;"></span> $</span> <span style="color: #000000;"><span style="color: #000000;"> {</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span>scanf<span style="color: #800000;"><span style="color: #800000;">"</span></span><span style="color: #800000;"><span style="color: #800000;">%d</span></span><span style="color: #800000;"><span style="color: #800000;">"</span></span>,&<span style="color: #000000;"><span style="color: #000000;">N);</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span>n=<span style="color: #800080;"><span style="color: #800080;">0</span></span><span style="color: #000000;"><span style="color: #000000;">;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #0000ff;"><span style="color: #0000ff;">Double</span></span>Area=<span style="color: #800080;"><span style="color: #800080;">0</span></span>, sum=<span style="color: #800080;"><span style="color: #800080;">0</span></span><span style="color: #000000;"><span style="color: #000000;">;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> a</span> <span style="color: #0000ff;"><span style="color: #0000ff;"></span> for</span>(<span style="color: #0000ff;"><span style="color: #0000ff;">int</span></span>I=<span style="color: #800080;"><span style="color: #800080;">0</span></span>; i<n;i++<span style="color: #000000;"><span style="color: #000000;">)</span></span><span style="color: #008080;"><span style="color: #008080;"></span> +</span> <span style="color: #000000;"><span style="color: #000000;"> {</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span>scanf<span style="color: #800000;"><span style="color: #800000;">"</span></span><span style="color: #800000;"><span style="color: #800000;">%LF%LF%LF%LF%LF</span></span><span style="color: #800000;"><span style="color: #800000;">"</span></span>,&s.x,&s.y,&c,&d,&<span style="color: #000000;"><span style="color: #000000;">e);</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span>sum+=c*<span style="color: #000000;"><span style="color: #000000;">d;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> $</span>E=torad (e);<span style="color: #008000;"><span style="color: #008000;">//</span></span><span style="color: #008000;">Convert to <span style="color: #008000;">radians</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span>S1=point (s.x-c/<span style="color: #800080;"><span style="color: #800080;">2</span></span>, s.y-d/<span style="color: #800080;"><span style="color: #800080;">2</span></span>);<span style="color: #008000;"><span style="color: #008000;">//</span></span><span style="color: #008000;"><span style="color: #008000;">get the coordinates of Four Corners</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span>P[n++]=s+rotate (s1-s,-e);<span style="color: #008000;"><span style="color: #008000;">//</span></span><span style="color: #008000;"><span style="color: #008000;">must be a vector rotation, get the vertex point to the center of the vector, and then rotate, Plus s to get rotated vertex coordinates</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span>S1=point (s.x-c/<span style="color: #800080;"><span style="color: #800080;">2</span></span>, s.y+d/<span style="color: #800080;"><span style="color: #800080;">2</span></span><span style="color: #000000;"><span style="color: #000000;">);</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span>P[n++]=s+rotate (s1-s,-<span style="color: #000000;"><span style="color: #000000;">e);</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span>S1=point (s.x+c/<span style="color: #800080;"><span style="color: #800080;">2</span></span>, s.y+d/<span style="color: #800080;"><span style="color: #800080;">2</span></span><span style="color: #000000;"><span style="color: #000000;">);</span></span><span style="color: #008080;"><span style="color: #008080;"></span> in</span>P[n++]=s+rotate (s1-s,-<span style="color: #000000;"><span style="color: #000000;">e);</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span>S1=point (s.x+c/<span style="color: #800080;"><span style="color: #800080;">2</span></span>, s.y-d/<span style="color: #800080;"><span style="color: #800080;">2</span></span><span style="color: #000000;"><span style="color: #000000;">);</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span>P[n++]=s+rotate (s1-s,-<span style="color: #000000;"><span style="color: #000000;">e);</span></span><span style="color: #008080;"><span style="color: #008080;"></span> about</span> <span style="color: #000000;"><span style="color: #000000;"> }</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span>Sort (p,p+n);<span style="color: #008000;"><span style="color: #008000;">//</span></span><span style="color: #008000;"><span style="color: #008000;">finding convex hull after sorting</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #0000ff;"><span style="color: #0000ff;">int</span></span>m=<span style="color: #800080;"><span style="color: #800080;">0</span></span><span style="color: #000000;"><span style="color: #000000;">;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #0000ff;"><span style="color: #0000ff;"></span> for</span>(<span style="color: #0000ff;"><span style="color: #0000ff;">int</span></span>I=<span style="color: #800080;"><span style="color: #800080;">0</span></span>; i<n;i++<span style="color: #000000;"><span style="color: #000000;">)</span></span><span style="color: #008080;"><span style="color: #008080;"></span> +</span> <span style="color: #000000;"><span style="color: #000000;"> {</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #0000ff;"><span style="color: #0000ff;"></span> while</span>(m><span style="color: #800080;"><span style="color: #800080;">1</span></span>&&DCMP (cross (ch[m-<span style="color: #800080;"><span style="color: #800080;">1</span></span>]-ch[m-<span style="color: #800080;"><span style="color: #800080;">2</span></span>],p[i]-ch[m-<span style="color: #800080;"><span style="color: #800080;">2</span></span>])) <=<span style="color: #800080;"><span style="color: #800080;">0</span></span>) m--<span style="color: #000000;"><span style="color: #000000;">;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span>ch[m++]=<span style="color: #000000;"><span style="color: #000000;">p[i];</span></span><span style="color: #008080;"><span style="color: #008080;">Bayi</span></span> <span style="color: #000000;"><span style="color: #000000;"> }</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #0000ff;"><span style="color: #0000ff;">int</span></span>k=<span style="color: #000000;"><span style="color: #000000;">m;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #0000ff;"><span style="color: #0000ff;"></span> for</span>(<span style="color: #0000ff;"><span style="color: #0000ff;">int</span></span>i=n-<span style="color: #800080;"><span style="color: #800080;">2</span></span>; i>=<span style="color: #800080;"><span style="color: #800080;">0</span></span>; i--<span style="color: #000000;"><span style="color: #000000;">)</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #000000;"><span style="color: #000000;"> {</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span> <span style="color: #0000ff;"><span style="color: #0000ff;"></span> while</span>(M>K&&DCMP (cross (ch[m-<span style="color: #800080;"><span style="color: #800080;">1</span></span>]-ch[m-<span style="color: #800080;"><span style="color: #800080;">2</span></span>],p[i]-ch[m-<span style="color: #800080;"><span style="color: #800080;">2</span></span>])) <=<span style="color: #800080;"><span style="color: #800080;">0</span></span>) m--<span style="color: #000000;"><span style="color: #000000;">;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span>ch[m++]=<span style="color: #000000;"><span style="color: #000000;">p[i];</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #000000;"><span style="color: #000000;"> }</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #0000ff;"><span style="color: #0000ff;"></span> for</span>(<span style="color: #0000ff;"><span style="color: #0000ff;">int</span></span>I=<span style="color: #800080;"><span style="color: #800080;">1</span></span>; i<m-<span style="color: #800080;"><span style="color: #800080;">1</span></span>; I++)<span style="color: #008000;"><span style="color: #008000;">//</span></span><span style="color: #008000;"><span style="color: #008000;">convex hull Area (twice times Here)</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #000000;"><span style="color: #000000;"> {</span></span><span style="color: #008080;"><span style="color: #008080;"></span> -</span>Area+=cross (ch[i]-ch[<span style="color: #800080;"><span style="color: #800080;">0</span></span>],ch[i+<span style="color: #800080;"><span style="color: #800080;">1</span></span>]-ch[<span style="color: #800080;"><span style="color: #800080;">0</span></span><span style="color: #000000;"><span style="color: #000000;">]);</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #000000;"><span style="color: #000000;"> }</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span>Area/=<span style="color: #800080;"><span style="color: #800080;">2</span></span><span style="color: #000000;"><span style="color: #000000;">;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span>area=sum/area*<span style="color: #800080;"><span style="color: #800080;"></span> -</span>;<span style="color: #008000;"><span style="color: #008000;">//</span></span><span style="color: #008000;"><span style="color: #008000;">get the percentage of boards that occupy the convex hull</span></span><span style="color: #008080;"><span style="color: #008080;">94</span></span>printf<span style="color: #800000;"><span style="color: #800000;">"</span></span><span style="color: #800000;"><span style="color: #800000;">%.1lf%%\n</span></span><span style="color: #800000;"><span style="color: #800000;">"</span></span><span style="color: #000000;"><span style="color: #000000;">, area);</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #000000;"><span style="color: #000000;"> }</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span> <span style="color: #0000ff;"><span style="color: #0000ff;">return</span></span> <span style="color: #800080;"><span style="color: #800080;">0</span></span><span style="color: #000000;"><span style="color: #000000;">;</span></span><span style="color: #008080;"><span style="color: #008080;"></span> the</span>}</pre><p><p></p></p><p><p>Uva-10652 Board Wrapping (convex Bag)</p></p></span>