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Objective-C实现拓扑排序算法
拓扑排序是一种用于确定有向图中节点顺序的算法,前提是每个节点的入度都为零。以下是Objective-C实现拓扑排序算法的完整代码示例。
@interface TopologicalSort : NSObject@property (nonatomic, assign) NSInteger vertices;@end
@implementation TopologicalSort{NSArray *vertices;NSArray *edges;NSArray *inDegree;}
(id)initWithVertices:(NSInteger)vertices {self.vertices = vertices;self.inDegree = [NSArray array];self.edges = [NSArray array];return self;}
(void)buildInDegreeAndEdges {self.inDegree = [NSArray array];self.edges = [NSArray array];
for (NSInteger i = 0; i < self.vertices; i++) {[self.inDegree addObject:0];[self.edges addObject: [NSArray array]];}
// 读取边信息并更新入度for (NSInteger i = 0; i < self.vertices; i++) {// 假设边存储为每个节点的出边列表NSArray *nodeEdges = [self.edges objectAtIndex:i];for (NSArray *edgeNode in nodeEdges) {NSInteger src = [edgeNode[0] integerValue];NSInteger dest = [edgeNode[1] integerValue];
[self.edges addObject: edgeNode]; [self.inDegree addObject: nil]; // 这里可能需要根据实际数据处理 }
}}
(void)performTopologicalSort {NSMutableArray *queue = [NSMutableArray new];for (NSInteger i = 0; i < self.inDegree.count; i++) {if (self.inDegree[i] == 0) {[queue addObject: [NSNumber numberWithInteger:i]];}}
while (!queue.isEmpty) {NSNumber *node = queue.firstObject;[queue removeObject:node];
// 处理当前节点的所有出边 NSArray *edges = [self.edges objectAtIndex: [node.integerValue]]; for (NSArray *edge in edges) { NSInteger dest = [edge[1] integerValue]; self.inDegree[dest] -= 1; if (self.inDegree[dest] == 0) { [queue addObject: [NSNumber numberWithInteger:dest]]; } } // 在这里可以添加处理顺序的逻辑}}
(NSArray *)getTopologicalOrder {NSMutableArray *result = [NSMutableArray new];
while (!queue.isEmpty) {NSNumber *node = queue.firstObject;[queue removeObject:node];[result addObject:node];}
return [result valueForKeyPath: @"asArray"];}
@end
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