三、搜索和二分 [Cloned] F - 二分

本文介绍了一道关于如何公平地将不同大小的圆形馅饼平均分配给多人的问题,并提供了使用二分查找法解决该问题的具体代码实现。

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原题:

M

y birthday is coming up and traditionally I'm serving pie. Not just one pie, no, I have a number N of them, of various tastes and of various sizes. F of my friends are coming to my party and each of them gets a piece of pie. This should be one piece of one pie, not several small pieces since that looks messy. This piece can be one whole pie though. 

My friends are very annoying and if one of them gets a bigger piece than the others, they start complaining. Therefore all of them should get equally sized (but not necessarily equally shaped) pieces, even if this leads to some pie getting spoiled (which is better than spoiling the party). Of course, I want a piece of pie for myself too, and that piece should also be of the same size. 

What is the largest possible piece size all of us can get? All the pies are cylindrical in shape and they all have the same height 1, but the radii of the pies can be different. 

题意:

n块馅饼分给(m+1)个人,每个人的大小必须相同,而且每个人的馅饼只能来自同一块馅饼,就是不能剁成很小的小块然后并均分,问怎么才能让大家分到的馅饼最多。

题解:

二分法的应用,因为他要分饼的精度为小数点后三位,所以可以选择小数点后五位(随便选的还可以更小),然后用选定的标准来分每块饼,如果够分就再加大,如果不够分就减小,直到符合截止标准。

代码:AC

#include <cstdio>
#include <cmath>
#include <algorithm>
using namespace std;
double pi=acos(-1.0);
double p[10000+10];
double sum,maxn;
int i,n,f,t,k,cnt;
double l,r,m;
double max(double a,double b)
{
	if(a>b)
		return a;
	else
		return b;
}

int main()
{
    scanf("%d",&t);
    while(t--)
    {
      scanf("%d%d",&n,&f);
      f++;
      l=sum=0;
      for(i=0;i<n;i++)
      {
         scanf("%d",&k);
         p[i]=pi*k*k;
         l=max(p[i],l);
         sum+=p[i];
      }
      l=l/f;
      r=sum/f;
      while(l+0.00001<r)
      {
        m=(l+r)/2;
        cnt=0;
        for(i=0;i<n;i++)
          cnt+=(int)floor(p[i]/m);
        if(cnt<f) r=m;
        else l=m;
      }
      printf("%.4lf\n",l);
    }
    return 0;
}

 

import os import re import shutil import zipfile import tempfile from typing import List, Dict, Tuple import tkinter as tk from tkinter import filedialog, messagebox from docx import Document from docx.shared import Pt from docx.oxml import parse_xml from docx.oxml.ns import nsdecls, qn from docx.enum.text import WD_PARAGRAPH_ALIGNMENT from docx.oxml.shape import CT_Picture from docx.oxml.table import CT_Tbl from docx.oxml.text.paragraph import CT_P class WordProcessor: def __init__(self): self.input_path = "" self.output_dir = "" self.full_titles = [] self.current_title_path = [] self.ignore_titles = ["目录", "目 录", "contents", "Contents"] self.chapter_counter = 0 self.image_counter = 1 self.media_files = {} # 存储图片文件 self.base_filename = "" # 基础文件名 self.source_doc = None # 存储原始文档对象 def select_input_file(self): """选择输入文件""" root = tk.Tk() root.withdraw() file_path = filedialog.askopenfilename( title="选择要处理的Word文档", filetypes=[("Word文档", "*.docx"), ("所有文件", "*.*")] ) if file_path: self.input_path = file_path self.base_filename = os.path.splitext(os.path.basename(file_path))[0] self._extract_media_files() # 提取文档中的图片文件 self.source_doc = Document(file_path) # 加载原始文档 return file_path def select_output_dir(self): """选择输出目录""" root = tk.Tk() root.withdraw() dir_path = filedialog.askdirectory(title="选择输出目录") if dir_path: self.output_dir = dir_path return dir_path def _extract_media_files(self): """从Word文档中提取图片文件""" self.media_files = {} with zipfile.ZipFile(self.input_path) as z: for file in z.namelist(): if file.startswith('word/media/'): self.media_files[file] = z.read(file) def is_title(self, paragraph, level=1): """判断段落是否是标题""" # 方法1:检查样式名称 if paragraph.style.name.startswith(f'Heading {level}'): return True # 方法2:检查格式特征 if level == 1 and paragraph.runs: run = paragraph.runs[0] if run.bold and run.font.size == Pt(16): return True # 方法3:检查文本模式 text = paragraph.text.strip() if level == 1 and re.match(r'^第[一二四五六七八九十]+章', text): return True return False def should_ignore_paragraph(self, paragraph): """判断是否应该忽略此段落""" text = paragraph.text.strip() return (not text or text in self.ignore_titles or re.match(r'^\d+$', text)) def is_useless_image(self, paragraph): """判断是否是无用图片""" return "logo" in paragraph.text.lower() def is_useless_text(self, paragraph): """判断是否是无用文本""" pattern = r'[A-Z]{1,5}(\s*[/-]\s*[A-Z]{1,5})*\s*\d+(-\d+)*' return re.fullmatch(pattern, paragraph.text.strip()) def clean_document(self, doc): """清理文档中的无用内容""" # 清理段落 for paragraph in list(doc.paragraphs): if (self.should_ignore_paragraph(paragraph) or self.is_useless_image(paragraph) or self.is_useless_text(paragraph)): self._remove_element(paragraph._element) # 清理页眉页脚 for section in doc.sections: for paragraph in section.header.paragraphs: if self.is_useless_text(paragraph): self._remove_element(paragraph._element) for paragraph in section.footer.paragraphs: if self.is_useless_text(paragraph): self._remove_element(paragraph._element) return doc def _remove_element(self, element): """删除文档元素""" if element is not None and element.getparent() is not None: element.getparent().remove(element) def process_tables(self, doc): """处理续表""" tables = doc.tables i = 0 while i < len(tables): first_cell = tables[i].cell(0, 0).text.strip().lower() if "续表" in first_cell or "continued" in first_cell: if i > 0: self._merge_tables(tables[i-1], tables[i]) self._remove_element(tables[i]._element) i -= 1 # 因为删除了一个表格,索引需要调整 i += 1 return doc def _merge_tables(self, main_table, continued_table): """合并两个表格""" start_row = 1 if continued_table.rows[0].cells[0].text.strip().lower() in ["续表", "continued"] else 0 for row in continued_table.rows[start_row:]: new_row = main_table.add_row() for i, cell in enumerate(row.cells): new_row.cells[i].text = cell.text # 复制格式 if cell._element.tcPr is not None: new_row.cells[i]._element.tcPr = parse_xml(cell._element.tcPr.xml) def split_by_chapters(self): """按章节拆分文档""" doc = self.source_doc doc = self.clean_document(doc) doc = self.process_tables(doc) chapters = [] current_chapter = None current_chapter_title = None # 获取文档主体中的所有元素 body_elements = doc.element.body.xpath('*') for element in body_elements: if element.tag.endswith('p'): # 段落 paragraph = self._get_paragraph(doc, element) if paragraph is None: continue if self.should_ignore_paragraph(paragraph): continue if self.is_title(paragraph, level=1): if current_chapter is not None: chapters.append((current_chapter_title, current_chapter)) current_chapter_title = self._format_chapter_title(paragraph.text) current_chapter = Document() # 复制文档的核心样式 self._copy_core_styles(doc, current_chapter) current_chapter.add_heading(current_chapter_title, level=1) self.current_title_path = [current_chapter_title] self.chapter_counter += 1 continue if current_chapter is not None: self._copy_paragraph(current_chapter, paragraph) elif element.tag.endswith('tbl'): # 表格 if current_chapter is not None: self._copy_table(current_chapter, element) elif element.tag.endswith('drawing'): # 图片 if current_chapter is not None: self._copy_image(current_chapter, element) if current_chapter is not None: chapters.append((current_chapter_title, current_chapter)) return chapters def _copy_core_styles(self, source_doc, target_doc): """复制核心样式到目标文档""" # 复制默认段落样式 default_style = source_doc.styles['Normal'] target_style = target_doc.styles['Normal'] target_style.font.name = default_style.font.name target_style.font.size = default_style.font.size def _get_paragraph(self, doc, element): """获取段落对象""" for p in doc.paragraphs: if p._element == element: return p return None def _format_chapter_title(self, title): """格式化章节标题""" title = title.strip() if not re.match(r'^第[一二四五六七八九十]+章', title): match = re.search(r'(第[一二四五六七八九十]+章\s*.+)', title) if match: title = match.group(1) return title def _copy_paragraph(self, target_doc, source_paragraph): """复制段落及其内容""" new_para = target_doc.add_paragraph(style=source_paragraph.style) # 复制段落格式 new_para.paragraph_format.alignment = source_paragraph.paragraph_format.alignment new_para.paragraph_format.left_indent = source_paragraph.paragraph_format.left_indent new_para.paragraph_format.right_indent = source_paragraph.paragraph_format.right_indent new_para.paragraph_format.first_line_indent = source_paragraph.paragraph_format.first_line_indent new_para.paragraph_format.line_spacing = source_paragraph.paragraph_format.line_spacing new_para.paragraph_format.space_before = source_paragraph.paragraph_format.space_before new_para.paragraph_format.space_after = source_paragraph.paragraph_format.space_after # 复制run图片 for run in source_paragraph.runs: new_run = new_para.add_run(run.text) new_run.bold = run.bold new_run.italic = run.italic new_run.underline = run.underline new_run.font.size = run.font.size new_run.font.name = run.font.name # 复制图片 if run._element.xpath('.//wp:inline'): self._copy_run_image(new_run, run) def _copy_run_image(self, new_run, source_run): """复制run中的图片""" drawing = source_run._element.xpath('.//wp:inline')[0] new_run._element.append(parse_xml(drawing.xml)) def _copy_table(self, target_doc, table_element): """复制表格""" new_table = target_doc.add_table(rows=1, cols=1) new_table._element = parse_xml(table_element.xml) # 确保表格中的图片引用正确 for row in new_table.rows: for cell in row.cells: for paragraph in cell.paragraphs: for run in paragraph.runs: if run._element.xpath('.//wp:inline'): self._copy_run_image(run, run) def _copy_image(self, target_doc, image_element): """复制独立图片""" para = target_doc.add_paragraph() run = para.add_run() run._element.append(parse_xml(image_element.xml)) def save_chapters(self, chapters): """保存章节并处理图片引用""" if not os.path.exists(self.output_dir): os.makedirs(self.output_dir) saved_files = [] for idx, (title, chapter_doc) in enumerate(chapters): # 生成安全的文件名 safe_title = re.sub(r'[\\/*?:"<>|]', "_", title) # 使用基础文件名+章节标题作为文件名 filename = f"{self.base_filename}-{safe_title}.docx" filepath = os.path.join(self.output_dir, filename) # 临时保存以处理图片 temp_file = tempfile.NamedTemporaryFile(delete=False, suffix='.docx') chapter_doc.save(temp_file.name) temp_file.close() # 处理图片引用 self._repack_docx_with_images(temp_file.name, filepath) os.unlink(temp_file.name) saved_files.append(filepath) return saved_files def _repack_docx_with_images(self, src_path, dest_path): """重新打包docx文件包含图片""" with zipfile.ZipFile(src_path, 'r') as zin: with zipfile.ZipFile(dest_path, 'w') as zout: # 复制所有文件 for item in zin.infolist(): if not item.filename.startswith('word/media/'): # 不复制原media文件 zout.writestr(item, zin.read(item.filename)) # 添加图片文件 for rel_path, data in self.media_files.items(): zout.writestr(rel_path, data) def _extract_chapter_number(self, title): """从标题中提取章节编号""" match = re.search(r'第([一二四五六七八九十]+)章', title) if match: chinese_num = match.group(1) num_map = {'一':'1','二':'2','':'3','四':'4','五':'5', '六':'6','七':'7','八':'8','九':'9','十':'10'} return num_map.get(chinese_num, None) return None def process_document(self): """处理文档主流程""" if not self.input_path or not os.path.exists(self.input_path): raise FileNotFoundError("输入文件路径无效或文件不存在") if not self.output_dir: raise ValueError("输出目录未指定") try: chapters = self.split_by_chapters() saved_files = self.save_chapters(chapters) return saved_files except Exception as e: raise Exception(f"处理文档时出错: {str(e)}") def main(): """主界面""" try: processor = WordProcessor() root = tk.Tk() root.title("Word文档处理工具 v3.2") root.geometry("650x450") # 界面布局 tk.Label(root, text="Word文档高级处理工具", font=("Arial", 16)).pack(pady=10) # 输入文件选择 input_frame = tk.Frame(root) input_frame.pack(pady=5, fill=tk.X, padx=20) tk.Label(input_frame, text="输入文件:").pack(side=tk.LEFT) input_entry = tk.Entry(input_frame, width=45) input_entry.pack(side=tk.LEFT, padx=5, expand=True, fill=tk.X) tk.Button(input_frame, text="浏览...", command=lambda: input_entry.insert(0, processor.select_input_file())).pack(side=tk.LEFT) # 输出目录选择 output_frame = tk.Frame(root) output_frame.pack(pady=5, fill=tk.X, padx=20) tk.Label(output_frame, text="输出目录:").pack(side=tk.LEFT) output_entry = tk.Entry(output_frame, width=45) output_entry.pack(side=tk.LEFT, padx=5, expand=True, fill=tk.X) tk.Button(output_frame, text="浏览...", command=lambda: output_entry.insert(0, processor.select_output_dir())).pack(side=tk.LEFT) # 处理按钮 def on_process(): processor.input_path = input_entry.get() processor.output_dir = output_entry.get() if not processor.input_path: messagebox.showerror("错误", "请先选择输入文件") return if not processor.output_dir: messagebox.showerror("错误", "请先选择输出目录") return try: saved_files = processor.process_document() messagebox.showinfo("成功", f"处理完成! 共生成 {len(saved_files)} 个子文档。\n" f"输出目录: {processor.output_dir}\n" f"第一个文件: {os.path.basename(saved_files[0])}") # 打开输出目录 if os.name == 'nt': # Windows os.startfile(processor.output_dir) elif os.name == 'posix': # macOS, Linux os.system(f'open "{processor.output_dir}"') except Exception as e: messagebox.showerror("错误", f"处理失败: {str(e)}") process_btn = tk.Button(root, text="开始处理", command=on_process, height=2, width=20, bg="#4CAF50", fg="white") process_btn.pack(pady=20) # 说明文本 info_frame = tk.Frame(root, borderwidth=1, relief="solid", padx=10, pady=10) info_frame.pack(pady=10, padx=20, fill=tk.BOTH, expand=True) tk.Label(info_frame, text="功能说明:", font=("Arial", 10, "bold")).pack(anchor="w") tk.Label(info_frame, text="1. 按章节拆分文档,保留原格式\n" "2. 完整保留所有表格图片\n" "3. 自动处理续表合并\n" "4. 清理无用内容(logo、标准号等)\n" "5. 生成文件名格式: 原文件名-章节标题", justify=tk.LEFT, anchor="w").pack(fill=tk.X) tk.Label(info_frame, text="输出示例:\n" "高速公路清障施救标准化手册0901终-第一章 总则.docx\n" "高速公路清障施救标准化手册0901终-第二章 清障施救标准.docx", justify=tk.LEFT, anchor="w", fg="blue").pack(fill=tk.X, pady=(5,0)) root.mainloop() except Exception as e: messagebox.showerror("系统错误", f"程序发生错误: {str(e)}") if __name__ == "__main__": main() 我在执行上面代码的时候,被拆分的文档中所有的图片表格都没有了,是什原因导致的我应该怎么修改
最新发布
07-16
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