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x != (v).end(); ++x) +#define For(i, a, b) for (int i=(a); i<(b); ++i) +#define D(x) cout << #x " is " << x << endl + +/////////////// Maximum flow for sparse graphs /////////////// +/////////////// Complexity: O(V * E^2) /////////////// + +/* + Usage: + Call initialize_max_flow(); + Create graph using add_edge(u, v, c); + max_flow(source, sink); + + WARNING: The algorithm writes on the cap array. The capacity + is not the same after having run the algorithm. If you need + to run the algorithm several times on the same graph, backup + the cap array. + */ + +namespace Flow { + // Maximum number of nodes + const int MAXN = 51 * 51 * 2; + // Maximum number of edges + // IMPORTANT: Remember to consider the backedges. For + // every edge we actually need two! That's why we have + // multiply by two at the end. + const int MAXE = MAXN * 6 * 2; + const int oo = INT_MAX / 4; + int first[MAXN]; + int next[MAXE]; + int adj[MAXE]; + int cap[MAXE]; + int current_edge; + + /* + Builds a directed edge (u, v) with capacity c. + Note that actually two edges are added, the edge + and its complementary edge for the backflow. + */ + int add_edge(int u, int v, int c){ + adj[current_edge] = v; + cap[current_edge] = c; + next[current_edge] = first[u]; + first[u] = current_edge++; + + adj[current_edge] = u; + cap[current_edge] = 0; + next[current_edge] = first[v]; + first[v] = current_edge++; + } + + void initialize_max_flow(){ + current_edge = 0; + memset(next, -1, sizeof next); + memset(first, -1, sizeof first); + } + + int q[MAXN]; + int incr[MAXN]; + int arrived_by[MAXN]; + //arrived_by[i] = The last edge used to reach node i + int find_augmenting_path(int src, int snk){ + /* + Make a BFS to find an augmenting path from the source + to the sink. Then pump flow through this path, and + return the amount that was pumped. + */ + memset(arrived_by, -1, sizeof arrived_by); + int h = 0, t = 0; + q[t++] = src; + arrived_by[src] = -2; + incr[src] = oo; + while (h < t && arrived_by[snk] == -1){ //BFS + int u = q[h++]; + for (int e = first[u]; e != -1; e = next[e]){ + int v = adj[e]; + if (arrived_by[v] == -1 && cap[e] > 0){ + arrived_by[v] = e; + incr[v] = min(incr[u], cap[e]); + q[t++] = v; + } + } + } + + if (arrived_by[snk] == -1) return 0; + + int cur = snk; + int neck = incr[snk]; + while (cur != src){ + //Remove capacity from the edge used to reach + //node "cur", and add capacity to the backedge + cap[arrived_by[cur]] -= neck; + cap[arrived_by[cur] ^ 1] += neck; + //move backwards in the path + cur = adj[arrived_by[cur] ^ 1]; + } + return neck; + } + + int max_flow(int src, int snk){ + int ans = 0, neck; + while ((neck = find_augmenting_path(src, snk)) != 0){ + ans += neck; + } + return ans; + } +} +int rows, cols; +inline int in(int u){ return 2*u; } +inline int out(int u){ return 2*u + 1; } +inline int number(int r, int c){ return r * cols + c; } + +void print_edges(int u){ + printf("Edges going out from %d:\n", u); + for (int e = Flow::first[u]; e != -1; e = Flow::next[e]){ + printf("(v = %d, cap = %d)\n", Flow::adj[e], Flow::cap[e]); + } +} + +int main(){ + int cases; + for(scanf("%d", &cases); cases--; ){ + int banks; + if (scanf("%d %d %d", &rows, &cols, &banks) != 3) break; + + int source = rows * cols, sink = source + 1; + + Flow::initialize_max_flow(); + + for (int k=0; k= 0){ + Flow::add_edge(out(number(i, j)), in(number(i-1, j)), 1); + } + if (i + 1 < rows){ + Flow::add_edge(out(number(i, j)), in(number(i+1, j)), 1); + } + if (j - 1 >= 0){ + Flow::add_edge(out(number(i, j)), in(number(i, j-1)), 1); + } + if (j + 1 < cols){ + Flow::add_edge(out(number(i, j)), in(number(i, j+1)), 1); + } + } + } + + for (int i=0; i EPS ? 1.0 : 3.0) * acos +(0);[] + [] + + +Overfull \hbox (14.95123pt too wide) in paragraph at lines 328--328 +[] \OT1/cmtt/m/n/10 if(p.x > EPS) return(p.y >= -EPS ? theta : (4*acos(0) + th +eta));[] + [] + +[21] +Overfull \hbox (9.70128pt too wide) in paragraph at lines 328--328 +[] \OT1/cmtt/m/n/10 if(va < -0.5 || wa < -0.5 || fabs(fabs(xx)-2*acos(0)) < +EPS){[] + [] + File: ./src/geometria/line_line_intersection.cpp (verbatim) -File: ./src/geometria/segment_segment_intersection.cpp (verbatim) + +Underfull \vbox (badness 10000) has occurred while \output is active [] + [22] -Overfull \hbox (9.70128pt too wide) in paragraph at lines 333--333 +File: ./src/geometria/segment_segment_intersection.cpp (verbatim) + +Overfull \hbox (9.70128pt too wide) in paragraph at lines 342--342 [] \OT1/cmtt/m/n/10 //they lie on same line, but they may or may not inter sect.[] [] -Overfull \hbox (4.45132pt too wide) in paragraph at lines 333--333 +Overfull \hbox (4.45132pt too wide) in paragraph at lines 342--342 [] \OT1/cmtt/m/n/10 0 <= t0 <= 1 iff the intersection point lies in segmen t 1.[] [] -Overfull \hbox (4.45132pt too wide) in paragraph at lines 333--333 +Overfull \hbox (4.45132pt too wide) in paragraph at lines 342--342 [] \OT1/cmtt/m/n/10 0 <= t1 <= 1 iff the intersection point lies in segmen t 2.[] [] - -Underfull \vbox (badness 10000) has occurred while \output is active [] - File: ./src/geometria/check_segment_intersection.cpp (verbatim) - [23] +[23] Underfull \vbox (badness 10000) has occurred while \output is active [] File: ./src/estructuras/fenwick.cpp (verbatim) -File: ./src/estructuras/segment_tree.cpp (verbatim) [24] -Underfull \vbox (badness 1009) has occurred while \output is active [] +File: ./src/estructuras/segment_tree.cpp (verbatim) +Underfull \vbox (badness 10000) has occurred while \output is active [] -Overfull \hbox (14.95123pt too wide) in paragraph at lines 352--352 + [25] +Overfull \hbox (14.95123pt too wide) in paragraph at lines 361--361 [] \OT1/cmtt/m/n/10 return (arr[ans_left] <= arr[ans_right] ? ans_left : ans_r ight);[] [] -Overfull \hbox (9.70128pt too wide) in paragraph at lines 352--352 +Overfull \hbox (9.70128pt too wide) in paragraph at lines 361--361 []\OT1/cmtt/m/n/10 void SegmentTree::update(int node, int node_left, int node_r ight,[] [] - -Underfull \vbox (badness 10000) has occurred while \output is active [] - - [25] -LaTeX Font Info: Try loading font information for OMS+cmr on input line 361. - +LaTeX Font Info: Try loading font information for OMS+cmr on input line 370. 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File: ./src/misc/parser_recursivo_desc.cpp (verbatim) -Overfull \hbox (9.70128pt too wide) in paragraph at lines 378--378 +Overfull \hbox (9.70128pt too wide) in paragraph at lines 387--387 [] \OT1/cmtt/m/n/10 if (i < s.length()-1) ok = false; //No consumi toda la c adena[] [] +[26] +Overfull \hbox (34.00862pt too wide) in paragraph at lines 467--501 + [] + [] + Underfull \vbox (badness 10000) has occurred while \output is active [] - [26] -Overfull \hbox (34.00862pt too wide) in paragraph at lines 458--492 + [27] +Overfull \hbox (2.5089pt too wide) in paragraph at lines 506--540 [] [] -Overfull \hbox (2.5089pt too wide) in paragraph at lines 497--531 - [] - [] +Underfull \vbox (badness 10000) has occurred while \output is active [] + -[27] Underfull \vbox (badness 10000) has occurred while \output is active [] + [28] File: ./src/java/io_estandar_easy.java (verbatim) File: ./src/java/io_estandar.java (verbatim) - [28] File: ./src/java/io_file.java (verbatim) Underfull \vbox (badness 10000) has occurred while \output is active [] - -Overfull \hbox (30.7011pt too wide) in paragraph at lines 546--546 + [29] +Overfull \hbox (30.7011pt too wide) in paragraph at lines 555--555 []\OT1/cmtt/m/n/10 public static void main(String[] args) throws FileNotFoundEx ception {[] [] File: ./src/java/maps_sets.java (verbatim) -Overfull \hbox (35.95105pt too wide) in paragraph at lines 550--550 +Overfull \hbox (35.95105pt too wide) in paragraph at lines 559--559 [] \OT1/cmtt/m/n/10 //TreeMap m = new TreeMap();[] [] -Overfull \hbox (25.45114pt too wide) in paragraph at lines 550--550 +Overfull \hbox (25.45114pt too wide) in paragraph at lines 559--559 [] \OT1/cmtt/m/n/10 HashMap m = new HashMap();[] [] -[29] -Underfull \hbox (badness 10000) in paragraph at lines 568--568 + +Underfull \hbox (badness 10000) in paragraph at lines 577--577 [] -Underfull \hbox (badness 10000) in paragraph at lines 568--568 +Underfull \hbox (badness 10000) in paragraph at lines 577--577 [] Underfull \vbox (badness 10000) has occurred while \output is active [] - -Underfull \hbox (badness 10000) in paragraph at lines 581--582 + [30] +Underfull \hbox (badness 10000) in paragraph at lines 590--591 [] File: ./src/java/priority_queue.java (verbatim) -[30] -Underfull \hbox (badness 10000) in paragraph at lines 582--584 + +Underfull \hbox (badness 10000) in paragraph at lines 591--593 [] -Underfull \hbox (badness 10000) in paragraph at lines 593--593 +Underfull \hbox (badness 10000) in paragraph at lines 602--602 [] Underfull \vbox (badness 10000) has occurred while \output is active [] -File: ./src/c++/io_file.cpp (verbatim) [31] +File: ./src/c++/io_file.cpp (verbatim) File: ./src/c++/unicode.cpp (verbatim) File: ./src/c++/fgetws.cpp (verbatim) + +[32] LaTeX Font Info: Font shape `OT1/cmtt/bx/n' in size <12> not available -(Font) Font shape `OT1/cmtt/m/n' tried instead on input line 610. +(Font) Font shape `OT1/cmtt/m/n' tried instead on input line 619. 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zVKj{Yomb%BRvzL+6dVvy|38WUFS-7|&L8l9$@Txs9NaniXOO_^1DK1znZh@|IhELjq~bvt_J(hfu5U!qvle7|){FB&YrgRNNOpU8fGm3MoBl=8W) zq4zyM>6!y&HG4NA95-iugSShU%~z`Zdp8^PHDe&K28B u8{C{HHs4-}4{Dj6AFfr=6-iyA62bbXbGJ96NWNP_9H(WT0@4%;$o~LjKnisL diff --git a/Mi manual de algoritmos/version_actual/manual.tex b/Mi manual de algoritmos/version_actual/manual.tex index b87c233..b92b032 100644 --- a/Mi manual de algoritmos/version_actual/manual.tex +++ b/Mi manual de algoritmos/version_actual/manual.tex @@ -178,6 +178,14 @@ es utilizar BFS que lo hace más eficiente en algunos grafos. \codigofuente{./src/grafos/ford_fulkerson.cpp} \subsection{Máximo flujo para grafos dispersos usando Ford-Fulkerson} + +\small +\textbf{Field-testing:} +\begin{itemize} +\item \emph{UVa} - 563 - Crimewave +\end{itemize} +\normalsize + \codigofuente{./src/grafos/ford_fulkerson_sparse.cpp} \subsection{Componentes fuertemente conexas: Algoritmo de Tarjan} @@ -316,6 +324,7 @@ $ \displaystyle\bar{C}_{y} = \frac{1}{6A} \sum_{i=0}^{n-1} (y_{i} + y_{i+1}) (x_ \item \emph{TopCoder} - SRM 187 - Division 2 Hard - PointInPolygon \item \emph{UVa} - 11665 - Chinese Ink \end{itemize} +\normalsize \codigofuente{./src/geometria/is_inside_concave_polygon.cpp} \subsection{Hallar la intersección de dos rectas} diff --git a/Mi manual de algoritmos/version_actual/manual.toc b/Mi manual de algoritmos/version_actual/manual.toc index 8d82568..9f813f3 100644 --- a/Mi manual de algoritmos/version_actual/manual.toc +++ b/Mi manual de algoritmos/version_actual/manual.toc @@ -20,8 +20,8 @@ \contentsline {subsection}{\numberline {4.8}M\IeC {\'a}ximo flujo para grafos dispersos usando Ford-Fulkerson}{9}{subsection.4.8} \contentsline {subsection}{\numberline {4.9}Componentes fuertemente conexas: Algoritmo de Tarjan}{11}{subsection.4.9} \contentsline {subsection}{\numberline {4.10}2-Satisfiability}{11}{subsection.4.10} -\contentsline {section}{\numberline {5}Programaci\IeC {\'o}n din\IeC {\'a}mica}{11}{section.5} -\contentsline {subsection}{\numberline {5.1}Longest common subsequence}{11}{subsection.5.1} +\contentsline {section}{\numberline {5}Programaci\IeC {\'o}n din\IeC {\'a}mica}{12}{section.5} +\contentsline {subsection}{\numberline {5.1}Longest common subsequence}{12}{subsection.5.1} \contentsline {subsection}{\numberline {5.2}Partici\IeC {\'o}n de troncos}{12}{subsection.5.2} \contentsline {section}{\numberline {6}Strings}{13}{section.6} \contentsline {subsection}{\numberline {6.1}Algoritmo de Knuth-Morris-Pratt (KMP)}{13}{subsection.6.1} @@ -38,7 +38,7 @@ \contentsline {subsection}{\numberline {7.8}Determinar si un punto est\IeC {\'a} dentro de un pol\IeC {\'\i }gono convexo}{21}{subsection.7.8} \contentsline {subsection}{\numberline {7.9}Determinar si un punto est\IeC {\'a} dentro de un pol\IeC {\'\i }gono cualquiera}{21}{subsection.7.9} \contentsline {subsection}{\numberline {7.10}Hallar la intersecci\IeC {\'o}n de dos rectas}{22}{subsection.7.10} -\contentsline {subsection}{\numberline {7.11}Hallar la intersecci\IeC {\'o}n de dos segmentos de recta}{22}{subsection.7.11} +\contentsline {subsection}{\numberline {7.11}Hallar la intersecci\IeC {\'o}n de dos segmentos de recta}{23}{subsection.7.11} \contentsline {subsection}{\numberline {7.12}Determinar si dos segmentos de recta se intersectan o no}{23}{subsection.7.12} \contentsline {section}{\numberline {8}Estructuras de datos}{24}{section.8} \contentsline {subsection}{\numberline {8.1}\IeC {\'A}rboles de Fenwick \IeC {\'o} Binary indexed trees}{24}{subsection.8.1} @@ -48,13 +48,13 @@ \contentsline {subsection}{\numberline {9.2}Checklist para corregir un Wrong Answer}{27}{subsection.9.2} \contentsline {subsection}{\numberline {9.3}Redondeo de dobles}{27}{subsection.9.3} \contentsline {subsubsection}{\numberline {9.3.1}Convertir un doble al entero m\IeC {\'a}s cercano}{27}{subsubsection.9.3.1} -\contentsline {subsubsection}{\numberline {9.3.2}Redondear un doble a cierto n\IeC {\'u}mero de cifras de precisi\IeC {\'o}n}{28}{subsubsection.9.3.2} -\contentsline {section}{\numberline {10}Java}{28}{section.10} -\contentsline {subsection}{\numberline {10.1}Entrada desde entrada est\IeC {\'a}ndar}{28}{subsection.10.1} -\contentsline {subsection}{\numberline {10.2}Entrada desde archivo}{29}{subsection.10.2} -\contentsline {subsection}{\numberline {10.3}Mapas y sets}{29}{subsection.10.3} -\contentsline {subsection}{\numberline {10.4}Colas de prioridad}{30}{subsection.10.4} -\contentsline {section}{\numberline {11}C++}{31}{section.11} -\contentsline {subsection}{\numberline {11.1}Entrada desde archivo}{31}{subsection.11.1} +\contentsline {subsubsection}{\numberline {9.3.2}Redondear un doble a cierto n\IeC {\'u}mero de cifras de precisi\IeC {\'o}n}{29}{subsubsection.9.3.2} +\contentsline {section}{\numberline {10}Java}{29}{section.10} +\contentsline {subsection}{\numberline {10.1}Entrada desde entrada est\IeC {\'a}ndar}{29}{subsection.10.1} +\contentsline {subsection}{\numberline {10.2}Entrada desde archivo}{30}{subsection.10.2} +\contentsline {subsection}{\numberline {10.3}Mapas y sets}{30}{subsection.10.3} +\contentsline {subsection}{\numberline {10.4}Colas de prioridad}{31}{subsection.10.4} +\contentsline {section}{\numberline {11}C++}{32}{section.11} +\contentsline {subsection}{\numberline {11.1}Entrada desde archivo}{32}{subsection.11.1} \contentsline {subsection}{\numberline {11.2}Strings con caract\IeC {\'e}res especiales}{32}{subsection.11.2} -\contentsline {subsection}{\numberline {11.3}Imprimir un doble con \texttt {cout} con cierto n\IeC {\'u}mero de cifras de precisi\IeC {\'o}n}{32}{subsection.11.3} +\contentsline {subsection}{\numberline {11.3}Imprimir un doble con \texttt {cout} con cierto n\IeC {\'u}mero de cifras de precisi\IeC {\'o}n}{33}{subsection.11.3} diff --git a/Mi manual de algoritmos/version_actual/src/grafos/ford_fulkerson_sparse.cpp b/Mi manual de algoritmos/version_actual/src/grafos/ford_fulkerson_sparse.cpp dissimilarity index 81% index 59d8b51..f4944cc 100644 --- a/Mi manual de algoritmos/version_actual/src/grafos/ford_fulkerson_sparse.cpp +++ b/Mi manual de algoritmos/version_actual/src/grafos/ford_fulkerson_sparse.cpp @@ -1,95 +1,103 @@ -/////////////// Maximum flow for sparse graphs /////////////// -/////////////// Complexity: O(V * E^2) /////////////// - -/* - Usage: - initialize_max_flow(); - Create graph using add_edge(u, v, c); - max_flow(source, sink); - - WARNING: The algorithm writes on the cap array. The capacity - is not the same after having run the algorithm. If you need - to run the algorithm several times on the same graph, backup - the cap array. - */ - -const int MAXE = 50000; //Maximum number of edges -const int oo = INT_MAX / 4; -int cap[MAXE]; -int first[MAXE]; -int next[MAXE]; -int adj[MAXE]; -int current_edge; - -/* - Builds a directed edge (u, v) with capacity c. - Note that actually two edges are added, the edge - and its complementary edge for the backflow. - */ -int add_edge(int u, int v, int c){ - adj[current_edge] = v; - cap[current_edge] = c; - next[current_edge] = first[u]; - first[u] = current_edge++; - - adj[current_edge] = u; - cap[current_edge] = 0; - next[current_edge] = first[v]; - first[v] = current_edge++; -} - -void initialize_max_flow(){ - current_edge = 0; - memset(next, -1, sizeof next); - memset(first, -1, sizeof first); -} - -int q[MAXE]; -int incr[MAXE]; -int arrived_by[MAXE]; -//arrived_by[i] = The last edge used to reach node i -int find_augmenting_path(int src, int snk){ - /* - Make a BFS to find an augmenting path from the source to - the sink. Then pump flow through this path, and return - the amount that was pumped. - */ - memset(arrived_by, -1, sizeof arrived_by); - int h = 0, t = 0; - q[t++] = src; - arrived_by[src] = -2; - incr[src] = oo; - while (h < t && arrived_by[snk] == -1){ //BFS - int u = q[h++]; - for (int e = first[u]; e != -1; e = next[e]){ - int v = adj[e]; - if (arrived_by[v] == -1 && cap[e] > 0){ - arrived_by[v] = e; - incr[v] = min(incr[u], cap[e]); - q[t++] = v; - } - } - } - - if (arrived_by[snk] == -1) return 0; - - int cur = snk; - int neck = incr[snk]; - while (cur != src){ - //Remove capacity from the edge used to reach node "cur" - //Add capacity to the backedge - cap[arrived_by[cur]] -= neck; - cap[arrived_by[cur] ^ 1] += neck; - //move backwards in the path - cur = adj[arrived_by[cur] ^ 1]; - } - return neck; -} - -int max_flow(int src, int snk){ - int ans = 0, neck; - while ((neck = find_augmenting_path(src, snk)) != 0){ - ans += neck; - } - return ans; -} +/////////////// Maximum flow for sparse graphs /////////////// +/////////////// Complexity: O(V * E^2) /////////////// + +/* + Usage: + Call initialize_max_flow(); + Create graph using add_edge(u, v, c); + max_flow(source, sink); + + WARNING: The algorithm writes on the cap array. The capacity + is not the same after having run the algorithm. If you need + to run the algorithm several times on the same graph, backup + the cap array. + */ + +namespace Flow { + // Maximum number of nodes + const int MAXN = 100; + // Maximum number of edges + // IMPORTANT: Remember to consider the backedges. For + // every edge we actually need two! That's why we have + // to multiply by two at the end. + const int MAXE = MAXN * (MAXN + 1) / 2 * 2; + const int oo = INT_MAX / 4; + int first[MAXN]; + int next[MAXE]; + int adj[MAXE]; + int cap[MAXE]; + int current_edge; + + /* + Builds a directed edge (u, v) with capacity c. + Note that actually two edges are added, the edge + and its complementary edge for the backflow. + */ + int add_edge(int u, int v, int c){ + adj[current_edge] = v; + cap[current_edge] = c; + next[current_edge] = first[u]; + first[u] = current_edge++; + + adj[current_edge] = u; + cap[current_edge] = 0; + next[current_edge] = first[v]; + first[v] = current_edge++; + } + + void initialize_max_flow(){ + current_edge = 0; + memset(next, -1, sizeof next); + memset(first, -1, sizeof first); + } + + int q[MAXN]; + int incr[MAXN]; + int arrived_by[MAXN]; + //arrived_by[i] = The last edge used to reach node i + int find_augmenting_path(int src, int snk){ + /* + Make a BFS to find an augmenting path from the source + to the sink. Then pump flow through this path, and + return the amount that was pumped. + */ + memset(arrived_by, -1, sizeof arrived_by); + int h = 0, t = 0; + q[t++] = src; + arrived_by[src] = -2; + incr[src] = oo; + while (h < t && arrived_by[snk] == -1){ //BFS + int u = q[h++]; + for (int e = first[u]; e != -1; e = next[e]){ + int v = adj[e]; + if (arrived_by[v] == -1 && cap[e] > 0){ + arrived_by[v] = e; + incr[v] = min(incr[u], cap[e]); + q[t++] = v; + } + } + } + + if (arrived_by[snk] == -1) return 0; + + int cur = snk; + int neck = incr[snk]; + while (cur != src){ + //Remove capacity from the edge used to reach + //node "cur", and add capacity to the backedge + cap[arrived_by[cur]] -= neck; + cap[arrived_by[cur] ^ 1] += neck; + //move backwards in the path + cur = adj[arrived_by[cur] ^ 1]; + } + return neck; + } + + int max_flow(int src, int snk){ + int ans = 0, neck; + while ((neck = find_augmenting_path(src, snk)) != 0){ + ans += neck; + } + return ans; + } +} \ No newline at end of file -- 2.11.4.GIT