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3608 1 #include < iostream > 2 #include < cstdio > 3 #include < cmath > 4 #include < vector > 5 #include < cstring > 6 #include < complex > 7 using namespace std; 8 typedef complex < double > point; 9 const double eps = 1e - 8 ; 10 const double pi = acos( - 1.0 ); 11 const double inf = 1e100; 12 vector < point > P, Q; 13 14 double operator ^ ( const point p1, const point p2 ) { return imag( conj( p1 ) * p2 ); } 15 double operator & ( const point p1, const point p2 ) { return real( conj( p1 ) * p2 ); } 16 int dblcmp( double x ) { return ( x < - eps ? - 1 : x > eps ); } 17 double min( double x, double y ) { return ( x < y ? x : y ); } 18 19 double DisPointToSeg( const point & p, const point & p1, const point & p2 ) 20 { 21 if ( dblcmp( p - p1 & p2 - p1 ) < 0 || dblcmp( p - p2 & p1 - p2 ) < 0 ) 22 return min( abs( p1 - p ), abs( p2 - p ) ); 23 return fabs( p1 - p ^ p2 - p ) / abs( p1 - p2 ); 24 } 25 26 double DisPallSeg( point p1, point p2, point p3, point p4 ) 27 { 28 return min( min( DisPointToSeg( p1, p3, p4 ), DisPointToSeg( p2, p3, p4 ) ), 29 min( DisPointToSeg( p3, p1, p2 ), DisPointToSeg( p4, p1, p2 ) ) ); 30 } 31 32 void changeclockwise( vector < point > & g ) 33 { 34 int n = g.size( ); 35 if ( ( g[ 1 ] - g[ 0 ] ^ g[ 2 ] - g[ 0 ] ) < 0 ) 36 for ( int i = 0 ; i < n / 2 ; i ++ ) 37 swap( g[i], g[n - 1 - i] ); 38 } 39 40 double RC( ) 41 { 42 point f0( 1.0 , 0 ), f1( - 1.0 , 0 ); 43 point p0, p1, p2, p3; 44 int pn = P.size( ), qn = Q.size( ), k1 = - 1 , k2 = - 1 ; 45 double ymin = inf, ymax = - inf, angle, ang, ans; 46 47 changeclockwise( P ); 48 changeclockwise( Q ); 49 50 for ( int i = 0 ; i < pn; i ++ ) 51 if ( ymin > imag( P[i] ) ) ymin = imag( P[i] ), k1 = i; 52 for ( int i = 0 ; i < qn; i ++ ) 53 if ( ymax < imag( Q[i] ) ) ymax = imag( Q[i] ), k2 = i; 54 55 angle = 0.0 ; 56 ans = inf; 57 58 while ( angle <= 140 ) 59 { 60 p0 = P[k1]; p1 = P[(k1 + 1 ) % pn]; 61 p2 = Q[k2]; p3 = Q[(k2 + 1 ) % qn]; 62 int t = dblcmp( p1 - p0 ^ p3 - p2 ); 63 if ( t > 0 ) // 鏃嬭漿 p2p3 64 { 65 ang = arg( ( p3 - p2 ) / f1 ); 66 f1 = p3 - p2; 67 f0 = - f1; 68 k2 = ( k2 + 1 ) % qn; 69 ans = min( ans, DisPointToSeg( p0, p2, p3 ) ); 70 } 71 else if ( t == 0 ) 72 { 73 ang = arg( ( p1 - p0 ) / f0 ); 74 f0 = p1 - p0; 75 f1 = - f0; 76 k1 = ( k1 + 1 ) % pn; 77 k2 = ( k2 + 1 ) % qn; 78 ans = min( ans, DisPallSeg( p0, p1, p2, p3 ) ); 79 } 80 else // 騫寵 && 鏃嬭漿 p0p1錛?nbsp;涓ょ鎯呭喌鍙互鍚堝茍 81 { 82 ang = arg( ( p1 - p0 ) / f0 ); 83 f0 = p1 - p0; 84 f1 = - f0; 85 k1 = ( k1 + 1 ) % pn; 86 ans = min( ans, DisPointToSeg( p2, p0, p1 ) ); 87 } 88 angle += ( ang < 0 ? ang + 2 * pi : ang ); 89 } 90 return ans; 91 } 92 93 int main( ) 94 { 95 int n, m; 96 double x, y, ans; 97 while ( scanf( " %d%d " , & n, & m) && ( n + m ) ) 98 { 99 P.clear( ); 100 Q.clear( ); 101 for ( int i = 0 ; i < n; i ++ ) 102 { 103 scanf( " %lf%lf " , & x, & y); 104 P.push_back( point( x, y ) ); 105 } 106 for ( int i = 0 ; i < m; i ++ ) 107 { 108 scanf( " %lf%lf " , & x, & y); 109 Q.push_back( point( x, y ) ); 110 } 111 ans = RC( ); 112 printf( " %.5lf\n " ,ans); 113 } 114 } ]]>2008-2009 world final F棰?Deer-Proof Fence http://m.shnenglu.com/AmazingCaddy/archive/2010/06/03/117137.htmlAmazingCaddy AmazingCaddy Thu, 03 Jun 2010 12:47:00 GMT http://m.shnenglu.com/AmazingCaddy/archive/2010/06/03/117137.html http://m.shnenglu.com/AmazingCaddy/comments/117137.html http://m.shnenglu.com/AmazingCaddy/archive/2010/06/03/117137.html#Feedback 0 http://m.shnenglu.com/AmazingCaddy/comments/commentRss/117137.html http://m.shnenglu.com/AmazingCaddy/services/trackbacks/117137.html http://acmicpc-live-archive.uva.es/nuevoportal/ 鍏堥澶勭悊鎵鏈夊嚫鍖咃紝鐒跺悗dp銆?br>
1 #include < iostream > 2 #include< cmath > 3 #include< algorithm > 4 #include< complex > 5 #include< vector > 6 #include< stdio.h > 7 using namespace std; 8 typedef complex< double > point; 9 const int maxn = 530 ; 10 const double eps = 1e - 8 ; 11 const double inf = 1e10; 12 const double pi = acos( - 1.0 ); 13 double dp[maxn]; 14 int c[ 10 ]; 15 bool cmp( point p1, point p2 ) { return real(p1) < real(p2) || real(p1) == real(p2) && imag(p1) < imag(p2); } 16 double operator ^ ( point p1, point p2 ) { return imag( conj( p1 ) * p2 ); } 17 int dblcmp( double x ) { return x < - eps ? - 1 : x > eps ; } 18 double minn( double x, double y ) { return x < y ? x : y; } 19 void convex_hull( vector < point > & p, vector < point > & poly ) 20 { 21 int sz = 0 , i, k; 22 poly.clear( );23 sort( p.begin( ), p.end( ), cmp );24 for ( i = 0 ; i < p.size( ); ++ i ) 25 { 26 while ( sz >= 2 && dblcmp( poly[sz - 2 ] - p[i] ^ poly[sz - 1 ] - p[i] ) <= 0 ) 27 poly.pop_back( ), sz-- ; 28 poly.push_back( p[i] );29 sz++ ; 30 }31 k = sz; 32 for ( i = p.size( ) - 2 ; i >= 0 ; i -- ) 33 { 34 while ( sz > k && dblcmp( poly[sz - 2 ] - p[i] ^ poly[sz - 1 ] - p[i] ) <= 0 ) 35 poly.pop_back( ), sz-- ; 36 poly.push_back( p[i] );37 sz++ ; 38 }39 poly.pop_back( );40 }41 42 int main( ) 43 { 44 double a[maxn], x, y; 45 int i, j, q, n, m, len, k = 1 , sz; 46 vector< point > p, poly, poly1; 47 while ( 1 ) 48 { 49 p.clear( );50 scanf(" %d%d " , & n, & m); 51 if ( n == 0 && m == 0 ) break ; 52 for ( i = 0 ; i < n; i ++ ) 53 { 54 scanf(" %lf%lf " , & x, & y); 55 p.push_back( point( x, y ) );56 }57 len = 1 << n; 58 for ( i = 1 ; i < len; i ++ ) 59 { 60 poly.clear( );61 poly1.clear( );62 j = i; q = 0 ; 63 while ( j ) 64 { 65 if ( j & 1 ) poly.push_back( p[q] ); 66 q++ ; 67 j >>= 1 ; 68 }69 convex_hull( poly, poly1 );70 sz = poly1.size( ); 71 for ( a[i] = 2 * pi * m, j = 0 ; j < sz; j ++ ) 72 a[i] += abs( poly1[j] - poly1[(j + 1 ) % sz] ); 73 }74 for ( dp[ 0 ] = 0.0 , i = 1 ; i < len; i ++ ) 75 dp[i] = inf; 76 for ( i = 0 ; i < len; i ++ ) 77 for ( j = 1 ; j < len; j ++ ) 78 if ( ( j & i ) == 0 ) 79 dp[i| j] = minn( dp[i] + a[j], dp[i | j] ); 80 printf(" Case %d: length = %.2lf\n " ,k ++ ,dp[len - 1 ]); 81 }82 return 0 ; 83 } 84
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