From eea22787f94b3f2db1661cf086b038aa64ca8e59 Mon Sep 17 00:00:00 2001 From: krahets Date: Sat, 10 Feb 2024 03:57:01 +0800 Subject: [PATCH] deploy --- ...> min_path_sum_solution_initial_state.png} | Bin ...in_path_sum_solution_state_definition.png} | Bin ...in_path_sum_solution_state_transition.png} | Bin .../dp_solution_pipeline/index.html | 6 +- ...> adjacency_list_step1_initialization.png} | Bin ....png => adjacency_list_step2_add_edge.png} | Bin ...g => adjacency_list_step3_remove_edge.png} | Bin ...ng => adjacency_list_step4_add_vertex.png} | Bin ...=> adjacency_list_step5_remove_vertex.png} | Bin ...adjacency_matrix_step1_initialization.png} | Bin ...ng => adjacency_matrix_step2_add_edge.png} | Bin ...=> adjacency_matrix_step3_remove_edge.png} | Bin ... => adjacency_matrix_step4_add_vertex.png} | Bin ... adjacency_matrix_step5_remove_vertex.png} | Bin chapter_graph/graph_operations/index.html | 20 +- ...{array_deque.png => array_deque_step1.png} | Bin ...st.png => 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array_stack_step3_pop.png} | Bin ...t_stack.png => linkedlist_stack_step1.png} | Bin ...sh.png => linkedlist_stack_step2_push.png} | Bin ...pop.png => linkedlist_stack_step3_pop.png} | Bin chapter_stack_and_queue/stack/index.html | 12 +- en/sitemap.xml | 74 +++---- en/sitemap.xml.gz | Bin 509 -> 509 bytes sitemap.xml | 208 +++++++++--------- sitemap.xml.gz | Bin 998 -> 998 bytes 44 files changed, 176 insertions(+), 176 deletions(-) rename chapter_dynamic_programming/dp_solution_pipeline.assets/{min_path_sum_solution_step3.png => min_path_sum_solution_initial_state.png} (100%) rename chapter_dynamic_programming/dp_solution_pipeline.assets/{min_path_sum_solution_step1.png => min_path_sum_solution_state_definition.png} (100%) rename chapter_dynamic_programming/dp_solution_pipeline.assets/{min_path_sum_solution_step2.png => min_path_sum_solution_state_transition.png} (100%) rename chapter_graph/graph_operations.assets/{adjacency_list_initialization.png => adjacency_list_step1_initialization.png} (100%) rename chapter_graph/graph_operations.assets/{adjacency_list_add_edge.png => adjacency_list_step2_add_edge.png} (100%) rename chapter_graph/graph_operations.assets/{adjacency_list_remove_edge.png => adjacency_list_step3_remove_edge.png} (100%) rename chapter_graph/graph_operations.assets/{adjacency_list_add_vertex.png => adjacency_list_step4_add_vertex.png} (100%) rename chapter_graph/graph_operations.assets/{adjacency_list_remove_vertex.png => adjacency_list_step5_remove_vertex.png} (100%) rename chapter_graph/graph_operations.assets/{adjacency_matrix_initialization.png => adjacency_matrix_step1_initialization.png} (100%) rename chapter_graph/graph_operations.assets/{adjacency_matrix_add_edge.png => adjacency_matrix_step2_add_edge.png} (100%) rename chapter_graph/graph_operations.assets/{adjacency_matrix_remove_edge.png => adjacency_matrix_step3_remove_edge.png} (100%) rename chapter_graph/graph_operations.assets/{adjacency_matrix_add_vertex.png => adjacency_matrix_step4_add_vertex.png} (100%) rename chapter_graph/graph_operations.assets/{adjacency_matrix_remove_vertex.png => adjacency_matrix_step5_remove_vertex.png} (100%) rename chapter_stack_and_queue/deque.assets/{array_deque.png => array_deque_step1.png} (100%) rename chapter_stack_and_queue/deque.assets/{array_deque_push_last.png => array_deque_step2_push_last.png} (100%) rename chapter_stack_and_queue/deque.assets/{array_deque_push_first.png => array_deque_step3_push_first.png} (100%) rename chapter_stack_and_queue/deque.assets/{array_deque_pop_last.png => array_deque_step4_pop_last.png} (100%) rename chapter_stack_and_queue/deque.assets/{array_deque_pop_first.png => array_deque_step5_pop_first.png} (100%) rename chapter_stack_and_queue/deque.assets/{linkedlist_deque.png => linkedlist_deque_step1.png} (100%) rename chapter_stack_and_queue/deque.assets/{linkedlist_deque_push_last.png => 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chapter_stack_and_queue/queue.assets/{linkedlist_queue_pop.png => linkedlist_queue_step3_pop.png} (100%) rename chapter_stack_and_queue/stack.assets/{array_stack.png => array_stack_step1.png} (100%) rename chapter_stack_and_queue/stack.assets/{array_stack_push.png => array_stack_step2_push.png} (100%) rename chapter_stack_and_queue/stack.assets/{array_stack_pop.png => array_stack_step3_pop.png} (100%) rename chapter_stack_and_queue/stack.assets/{linkedlist_stack.png => linkedlist_stack_step1.png} (100%) rename chapter_stack_and_queue/stack.assets/{linkedlist_stack_push.png => linkedlist_stack_step2_push.png} (100%) rename chapter_stack_and_queue/stack.assets/{linkedlist_stack_pop.png => linkedlist_stack_step3_pop.png} (100%) diff --git a/chapter_dynamic_programming/dp_solution_pipeline.assets/min_path_sum_solution_step3.png b/chapter_dynamic_programming/dp_solution_pipeline.assets/min_path_sum_solution_initial_state.png similarity index 100% rename from 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chapter_dynamic_programming/dp_solution_pipeline.assets/min_path_sum_solution_state_transition.png diff --git a/chapter_dynamic_programming/dp_solution_pipeline/index.html b/chapter_dynamic_programming/dp_solution_pipeline/index.html index 6191e4ffa..b816c57ec 100644 --- a/chapter_dynamic_programming/dp_solution_pipeline/index.html +++ b/chapter_dynamic_programming/dp_solution_pipeline/index.html @@ -3634,7 +3634,7 @@

本题的每一轮的决策就是从当前格子向下或向右走一步。设当前格子的行列索引为 \([i, j]\) ，则向下或向右走一步后，索引变为 \([i+1, j]\) 或 \([i, j+1]\) 。因此，状态应包含行索引和列索引两个变量，记为 \([i, j]\) 。

状态 \([i, j]\) 对应的子问题为：从起始点 \([0, 0]\) 走到 \([i, j]\) 的最小路径和，解记为 \(dp[i, j]\) 。

至此，我们就得到了图 14-11 所示的二维 \(dp\) 矩阵，其尺寸与输入网格 \(grid\) 相同。

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状态定义与 dp 表

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图 14-11   状态定义与 dp 表

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\[ dp[i, j] = \min(dp[i-1, j], dp[i, j-1]) + grid[i, j] \]
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最优子结构与状态转移方程

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最优子结构与状态转移方程

图 14-12   最优子结构与状态转移方程

@@ -3659,7 +3659,7 @@ dp[i, j] = \min(dp[i-1, j], dp[i, j-1]) + grid[i, j]

第三步：确定边界条件和状态转移顺序

在本题中，处在首行的状态只能从其左边的状态得来，处在首列的状态只能从其上边的状态得来，因此首行 \(i = 0\) 和首列 \(j = 0\) 是边界条件。

如图 14-13 所示，由于每个格子是由其左方格子和上方格子转移而来，因此我们使用循环来遍历矩阵，外循环遍历各行，内循环遍历各列。

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边界条件与状态转移顺序

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边界条件与状态转移顺序

图 14-13   边界条件与状态转移顺序

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邻接矩阵的初始化、增删边、增删顶点

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array_stack_pop

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