diff --git a/__pycache__/contents_extractor_v2.cpython-310.pyc b/__pycache__/contents_extractor_v2.cpython-310.pyc new file mode 100644 index 0000000000000000000000000000000000000000..b726bde0adcd650c48e54cd8c9d0fb92758f0058 Binary files /dev/null and b/__pycache__/contents_extractor_v2.cpython-310.pyc differ diff --git a/__pycache__/inference_svm_model.cpython-310.pyc b/__pycache__/inference_svm_model.cpython-310.pyc index 94cea998ff725fc4f569011bb7d3144896c19dbd..82e04913c5caeebfa1b5b66b43c0daf99bd26c20 100644 Binary files a/__pycache__/inference_svm_model.cpython-310.pyc and b/__pycache__/inference_svm_model.cpython-310.pyc differ diff --git a/__pycache__/mineru_single.cpython-310.pyc b/__pycache__/mineru_single.cpython-310.pyc index d34eda5c56477b9af517fa1a9bb81e8eb98321ff..de209241716f3f948e7df0bb4c55b02bc35b0047 100644 Binary files a/__pycache__/mineru_single.cpython-310.pyc and b/__pycache__/mineru_single.cpython-310.pyc differ diff --git a/__pycache__/mineru_test_local.cpython-310.pyc b/__pycache__/mineru_test_local.cpython-310.pyc new file mode 100644 index 0000000000000000000000000000000000000000..9ea708c680c81a4e047f24cf687dfe7b0510ce8e Binary files /dev/null and b/__pycache__/mineru_test_local.cpython-310.pyc differ diff --git a/__pycache__/topic_extraction_upgrade.cpython-310.pyc b/__pycache__/topic_extraction_upgrade.cpython-310.pyc index ab19005b9ff6a5b4e23e8621e387e3b353e52862..da8eab55ed6c20b5d019675a9b1341656ac68740 100644 Binary files a/__pycache__/topic_extraction_upgrade.cpython-310.pyc and b/__pycache__/topic_extraction_upgrade.cpython-310.pyc differ diff --git a/__pycache__/worker.cpython-310.pyc b/__pycache__/worker.cpython-310.pyc index dc2626a8c2f518057435d1fcb3bc9f7448f310f0..81811897a0f3c6ec5c1898c5d294a15715c59329 100644 Binary files a/__pycache__/worker.cpython-310.pyc and b/__pycache__/worker.cpython-310.pyc differ diff --git a/contents_extractor_v2.py b/contents_extractor_v2.py new file mode 100644 index 0000000000000000000000000000000000000000..234c39c94877b5e8dd08bcc5b68dadebff27c794 --- /dev/null +++ b/contents_extractor_v2.py @@ -0,0 +1,110 @@ +from google import genai +from google.genai import types +import fitz +import requests + +MODEL = "gemini-2.0-flash" + +# TODO: Make sure the last page must be included + + +class ContentsExtractor: + def __init__(self, api_key: str): + self.client = genai.Client(api_key=api_key) + + @staticmethod + def extract_first_pages(pdf_path, num_pages=4, is_path_url=False): + try: + if is_path_url: + r = requests.get(pdf_path) + data = r.content + doc = fitz.open(stream=data, filetype="pdf") + else: + doc = fitz.open(pdf_path) + total_pages = doc.page_count + pages_to_read = min(total_pages, num_pages) + all_text = [] + for page_num in range(pages_to_read): + page = doc[page_num] + page_text = page.get_text() + all_text.append(page_text) + doc.close() + return "\n".join(all_text) + except Exception as e: + print(f"Something went wrong: {e}") + return None + + def extract_contents(self, content): + response = self.client.models.generate_content( + model=MODEL, + contents=[f""" + Task: + You will be provided with the first pages of an exam board document. Your goal is to extract + the main subject-related topics from the "Contents" section and structure them in a valid JSON format. + + Instructions: + 1. Identify the "Contents" section, which lists all topics, subtopics, and their corresponding pages. + 2. Extract only the **highest-level, subject-related topics** (ignore organizational or administrative sections). + 3. If a topic has subtopics, include the full range of pages from the first to the last subtopic. + 4. Return the output in the following JSON format: + + {{ + "topic_name": [start_page, end_page] + }} + + Important Notes: + - Ignore non-subject-related sections (e.g., "Introduction", "Exam Guidelines", "Appendices"). + - If a topic has subtopics, **only extract the main topic**, ensuring the page range covers all subtopics. + - The extracted topics should represent major academic areas, not organizational or structural elements. + - Only extract main topics without sub-topic numeration. Any topic with additional numbering (e.g., '3.1 Some Topic') + should be ignored, as it is a sub-topic rather than a primary subject-related topic. + - Make sure that all of the pages for a topic are included, end page should be the start page of the topic + that comes next after the extracted one in contents section. + + Examples: + 1. Given this table of contents: + + 1. Introduction - 1 + 2. Exam Rules - 4 + 3. Subject content - 8 + 3.1 Algebra - 12 + 3.2 Geometry - 16 + 3.3 Probability - 20 + 4. The topics of subject of physics - 25 + 4.1 Mechanics - 30 + 4.2 Thermodynamics - 35 + 5. Appendices - 40 + + The correct output should be: + + {{ + "3. Subject content": [8, 25], + "4. The topics of subject of physics": [25, 40] + }} + + 2. Given this table of contents: + + 1. Welcome Note - 1 + 2. Exam Overview - 3 + 3. Biology - 5 + 3.1 Cell Biology - 7 + 3.2 Genetics - 12 + 3.3 Ecology - 18 + 4. Chemistry - 22 + 4.1 Organic Chemistry - 25 + 4.2 Inorganic Chemistry - 30 + 4.3 Physical Chemistry - 35 + 5. References - 43 + + The correct output should be: + + {{ + "Biology": [5, 22], + "Chemistry": [22, 43] + }} + + Now, extract topics from this text: {content} + """], + config=types.GenerateContentConfig(temperature=0.) + ) + return response.text.strip().replace("```json", "").replace("```", "") diff --git a/inference_svm_model.py b/inference_svm_model.py index 52c9bd4fad100afa7d019a6841ad3eec5050666c..30de60188e1fa2b96cb5e916a80e56b6c1ecef8b 100644 --- a/inference_svm_model.py +++ b/inference_svm_model.py @@ -1,31 +1,212 @@ #!/usr/bin/env python3 -import cv2 -import numpy as np import os -from joblib import load +import re +import json +import logging +import fitz # PyMuPDF +from typing import Optional, Tuple, Dict, List +from contents_extractor_v2 import ContentsExtractor +from mineru_test_local import LocalPDFProcessor -class SVMModel: - def __init__(self): - path = os.getenv("SVM_MODEL_PATH", "/home/user/app/model_classification/svm_model.joblib") - self.model = load(path) +# Configure logging +logging.basicConfig( + level=logging.INFO, + format="%(asctime)s [%(levelname)s] %(name)s - %(message)s", + handlers=[ + logging.StreamHandler(), + logging.FileHandler('selective_pdf_extractor.log') + ] +) +logger = logging.getLogger(__name__) +logger.setLevel(logging.INFO) - def classify_image( - self, - image_bytes: bytes, - image_size=(128, 128) - ) -> int: - img = cv2.imdecode(np.frombuffer(image_bytes, np.uint8), cv2.IMREAD_COLOR) - if img is None: - # If image fails to load, default to "irrelevant" or handle differently - return 0 - - img = cv2.resize(img, image_size) - x = img.flatten().reshape(1, -1) - pred = self.model.predict(x)[0] - return pred +class SelectivePDFProcessor: + """ + Processes PDF files by extracting only subject content sections. + First identifies if it's a specification document, then finds the Contents page, + extracts subject content page ranges, and processes only those pages. + """ + + def __init__(self, output_folder: str, api_key: str): + self.output_folder = output_folder + os.makedirs(self.output_folder, exist_ok=True) + self.api_key = api_key + self.contents_extractor = ContentsExtractor(api_key=api_key) + self.pdf_processor = LocalPDFProcessor(output_folder=output_folder) + + def check_for_specification(self, pdf_path: str) -> bool: + """ + Checks if the PDF is a specification document by looking for the word 'specification' + on the first page. + """ + try: + doc = fitz.open(pdf_path) + first_page_text = doc[0].get_text().lower() + doc.close() + return 'specification' in first_page_text + except Exception as e: + logger.error(f"Error checking for specification: {e}") + return False + + def find_contents_page(self, pdf_path: str) -> Optional[int]: + """ + Finds the page number of the Contents section. + """ + try: + doc = fitz.open(pdf_path) + # Check first 20 pages for "Contents" + # (assuming Contents is within the first 20 pages) + max_pages = min(20, doc.page_count) + + for page_num in range(max_pages): + page_text = doc[page_num].get_text() + # Look for "Contents" as a standalone heading + if re.search(r'^\s*Contents\s*$', page_text, re.MULTILINE): + logger.info(f"Found Contents page at page {page_num}") + doc.close() + return page_num + + doc.close() + logger.warning("Contents page not found") + return None + except Exception as e: + logger.error(f"Error finding contents page: {e}") + return None + + def extract_subject_content_pages(self, pdf_path: str, contents_page: int) -> Optional[Tuple[int, int]]: + """ + Extracts subject content page range using the ContentsExtractor. + Focuses on "Subject content" section. + """ + try: + doc = fitz.open(pdf_path) + contents_text = doc[contents_page].get_text() + doc.close() + + # Use the ContentsExtractor to parse the Contents page + json_result = self.contents_extractor.extract_contents(contents_text) + topics_dict = json.loads(json_result) + + # Look for subject content topics (with variations in naming) + subject_content_key = None + for key in topics_dict: + if 'subject content' in key.lower(): + subject_content_key = key + break + + if subject_content_key: + start_page, end_page = topics_dict[subject_content_key] + logger.info(f"Found subject content pages: {start_page} to {end_page}") + return start_page, end_page + else: + logger.warning("Subject content section not found in contents") + return None + except Exception as e: + logger.error(f"Error extracting subject content pages: {e}") + return None + + def extract_pages_to_new_pdf(self, input_pdf: str, start_page: int, end_page: int) -> str: + """ + Creates a new PDF containing only the specified page range. + """ + try: + doc = fitz.open(input_pdf) + new_doc = fitz.open() + + # Convert from page numbers in contents (1-based) to 0-based indices + start_idx = start_page - 1 + end_idx = end_page - 1 + + # Ensure valid page range + start_idx = max(0, start_idx) + end_idx = min(doc.page_count - 1, end_idx) + + # Copy pages from original to new document + for page_num in range(start_idx, end_idx + 1): + new_doc.insert_pdf(doc, from_page=page_num, to_page=page_num) + + # Save new PDF + temp_pdf_path = os.path.join(self.output_folder, "subject_content.pdf") + new_doc.save(temp_pdf_path) + new_doc.close() + doc.close() + + logger.info(f"Created new PDF with pages {start_page} to {end_page} at {temp_pdf_path}") + return temp_pdf_path + except Exception as e: + logger.error(f"Error extracting pages to new PDF: {e}") + return input_pdf # Return original if extraction fails + + def process(self, pdf_path: str) -> Optional[str]: + """ + Main processing function: + 1. Check if PDF is a specification document + 2. Find the Contents page + 3. Extract subject content page range + 4. Create a new PDF with only those pages + 5. Process the new PDF using the existing PDF processor + """ + try: + # Check if it's a specification document + is_spec = self.check_for_specification(pdf_path) + if not is_spec: + logger.info(f"Not a specification document, processing entire PDF: {pdf_path}") + return self.pdf_processor.process(pdf_path) + + # Find the Contents page + contents_page = self.find_contents_page(pdf_path) + if contents_page is None: + logger.warning("Contents page not found, processing entire PDF") + return self.pdf_processor.process(pdf_path) + + # Extract subject content page range + page_range = self.extract_subject_content_pages(pdf_path, contents_page) + if page_range is None: + logger.warning("Subject content section not found, processing entire PDF") + return self.pdf_processor.process(pdf_path) + + start_page, end_page = page_range + + # Create new PDF with only subject content pages + subject_content_pdf = self.extract_pages_to_new_pdf(pdf_path, start_page, end_page) + + # Process the new PDF + logger.info(f"Processing subject content PDF: {subject_content_pdf}") + markdown_result = self.pdf_processor.process(subject_content_pdf) + + # Add metadata about the extraction + metadata = ( + f"# Extracted Subject Content\n\n" + f"Source document: {os.path.basename(pdf_path)}\n" + f"Pages: {start_page} to {end_page}\n\n" + f"---\n\n" + ) + + final_markdown = metadata + markdown_result + + # Save the final markdown + final_md_path = os.path.join(self.output_folder, "final_output_with_metadata.md") + with open(final_md_path, "w", encoding="utf-8") as f: + f.write(final_markdown) + + return final_markdown + except Exception as e: + logger.error(f"Error in selective processing: {e}") + # Fallback to processing the entire PDF + return self.pdf_processor.process(pdf_path) if __name__ == "__main__": - model = load_svm_model("/home/user/app/model_classification/svm_model_2.joblib") - result = classify_image("test.jpg", model) - print("Classification result:", result) \ No newline at end of file + # API key should be stored securely, this is just for demonstration + GEMINI_API_KEY = "AIzaSyDtoakpXa2pjJwcQB6TJ5QaXHNSA5JxcrU" # Same as in the original scripts + + input_pdf = "/home/user/app/input_output/a-level-pearson-mathematics-specification.pdf" + output_dir = "/home/user/app/input_output/outputs" + + processor = SelectivePDFProcessor(output_folder=output_dir, api_key=GEMINI_API_KEY) + result = processor.process(input_pdf) + + if result: + logger.info("Processing completed successfully") + else: + logger.error("Processing failed") \ No newline at end of file diff --git a/input_output/output/final_output.md b/input_output/output/final_output.md index 1c057d2e2c77781fa59a0edae0ec48b48c972d0b..9c1b4958df47a3735afb0b3817ae1ff69576d9b5 100644 --- a/input_output/output/final_output.md +++ b/input_output/output/final_output.md @@ -1,12 +1,12 @@ -# A Level Mathematics +# Mathematics -![Two origami pinecones, one brown and one tan, on a purple background.](images/img_1.png) +![Two origami pinecones, one brown and one tan.](images/img_1.png) -# Specification +Specification Pearson Edexcel Level 3 Advanced GCE in Mathematics (9MA0) -# Summary of Pearson Edexcel Level 3 Advanced GCE in Mathematics Specification Issue 4 changes. +# Summary of Pearson Edexcel Level 3 Advanced GcE in Mathematics Specification Issue 4 changes. **Extracted table cells:** ![Row 0 Col 0](images/img_2.png_rows/row_0/col_0.png) @@ -27,68 +27,60 @@ Pearson Edexcel Level 3 Advanced GCE in Mathematics (9MA0) ![Row 15 Col 0](images/img_2.png_rows/row_15/col_0.png) ![Row 16 Col 0](images/img_2.png_rows/row_16/col_0.png) +Earlier issues show previous changes. + **Extracted table cells:** ![Row 0 Col 0](images/img_3.png_rows/row_0/col_0.png) -![Row 0 Col 1](images/img_3.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_3.png_rows/row_1/col_0.png) -![Row 1 Col 1](images/img_3.png_rows/row_1/col_1.png) ![Row 2 Col 0](images/img_3.png_rows/row_2/col_0.png) -![Row 2 Col 1](images/img_3.png_rows/row_2/col_1.png) ![Row 3 Col 0](images/img_3.png_rows/row_3/col_0.png) ![Row 4 Col 0](images/img_3.png_rows/row_4/col_0.png) -![Row 4 Col 1](images/img_3.png_rows/row_4/col_1.png) ![Row 5 Col 0](images/img_3.png_rows/row_5/col_0.png) -![Row 5 Col 1](images/img_3.png_rows/row_5/col_1.png) ![Row 6 Col 0](images/img_3.png_rows/row_6/col_0.png) -![Row 6 Col 1](images/img_3.png_rows/row_6/col_1.png) ![Row 7 Col 0](images/img_3.png_rows/row_7/col_0.png) -![Row 7 Col 1](images/img_3.png_rows/row_7/col_1.png) ![Row 8 Col 0](images/img_3.png_rows/row_8/col_0.png) ![Row 9 Col 0](images/img_3.png_rows/row_9/col_0.png) -![Row 9 Col 1](images/img_3.png_rows/row_9/col_1.png) ![Row 10 Col 0](images/img_3.png_rows/row_10/col_0.png) -![Row 10 Col 1](images/img_3.png_rows/row_10/col_1.png) ![Row 11 Col 0](images/img_3.png_rows/row_11/col_0.png) ![Row 12 Col 0](images/img_3.png_rows/row_12/col_0.png) ![Row 13 Col 0](images/img_3.png_rows/row_13/col_0.png) -![Row 13 Col 1](images/img_3.png_rows/row_13/col_1.png) ![Row 14 Col 0](images/img_3.png_rows/row_14/col_0.png) -![Row 14 Col 1](images/img_3.png_rows/row_14/col_1.png) ![Row 15 Col 0](images/img_3.png_rows/row_15/col_0.png) -![Row 15 Col 1](images/img_3.png_rows/row_15/col_1.png) ![Row 16 Col 0](images/img_3.png_rows/row_16/col_0.png) -![Row 16 Col 1](images/img_3.png_rows/row_16/col_1.png) ![Row 17 Col 0](images/img_3.png_rows/row_17/col_0.png) -![Row 17 Col 1](images/img_3.png_rows/row_17/col_1.png) ![Row 18 Col 0](images/img_3.png_rows/row_18/col_0.png) -![Row 18 Col 1](images/img_3.png_rows/row_18/col_1.png) ![Row 19 Col 0](images/img_3.png_rows/row_19/col_0.png) -Earlier issues show previous changes. - If you need further information on these changes or what they mean, contact us via our website at: qualifications.pearson.com/en/support/contact-us.html. # Contents -1 Introduction 2 -Why choose Edexcel A Level Mathematics? 2 +1 Introduction 2 + +Why choose Edexcel A Level Mathematics?. 2 Supporting you in planning and implementing this qualification 3 -Qualification at a glance. 5 -2 Subject content and assessment information. 7 +Qualification at a glance 5 + +2 Subject content and assessment information 7 + Paper 1 and Paper 2: Pure Mathematics 11 -Paper 3: Statistics and Mechanics 30 -Assessment Objectives 40 -3 Administration and general information 42 +Paper 3: Statistics and Mechanics. 30 +Assessment Objectives. 40 + +# 3 Administration and general information 42 + Entries 42 Access arrangements, reasonable adjustments, special consideration and malpractice 42 -Student recruitment and progression 45 -Appendix 1: Formulae 49 -Appendix 2: Notation 53 +Student recruitment and progression 45 + +Appendix 1: Formulae 49 + +Appendix 2: Notation. 53 Appendix 3: Use of calculators 59 Appendix 4: Assessment Objectives 60 Appendix 5: The context for the development of this qualification 62 Appendix 6: Transferable skills 64 -pendix 7: Level 3 Extended Project qualification 65 +Appendix 7: Level 3 Extended Project qualification 65 Appendix 8: Codes 67 # 1 Introduction @@ -99,17 +91,21 @@ We have listened to feedback from all parts of the mathematics subject community We will provide: -Simple, intuitive specifications that enable co-teaching and parallel delivery. Increased pressure on teaching time means that it's important you can cover the content of different specifications together. Our specifications are designed to help you co-teach A and AS Level, as well as deliver maths and further maths in parallel.. -Clear, familiar, accessible exams. Our new exam papers will deliver everything you'd expect from us as the leading awarding body for maths. They'll take the most straightforward and logical approach to meet the government's requirements. They'll use the same clear design that you've told us makes them so accessible, while also ensuring a range of challenge for all abilities. A wide range of exam practice to fully prepare students and help you track progress. With the new linear exams your students will want to feel fully prepared and know how they're progressing. We'll provide lots of exam practice to help you and your students understand and prepare for the assessments, including secure mock papers, practice. papers and free topic tests with marking guidance.. Complete support and free materials to help you understand and deliver the specification. Change is easier with the right support, so we'll be on hand to listen and give advice on how to understand and implement the changes. Whether it's through our Launch, Getting Ready to Teach, and Collaborative Networks events or via the renowned Maths Emporium, we'll be available face to face, online or over the phone throughout the lifetime of the qualification. We'll also provide you with free materials such as schemes of work, topic tests and progression maps.. -The published resources you know and trust, fully updated for 2017. Our new A Level Maths and Further Maths textbooks retain all the features you know and love about the current series, while being fully updated to match the new specifications. Each textbook comes packed with additional online content that supports independent learning and they all tie in with the free qualification support, giving you the most coherent approach to teaching and learning. +Simple, intuitive specifications that enable co-teaching and parallel delivery. Increased. pressure on teaching time means that it's important you can cover the content of different specifications together. Our specifications are designed to help you co-teach A and. AS Level, as well as deliver maths and further maths in parallel.. + +Clear, familiar, accessible exams. Our new exam papers will deliver everything you'd expect from us as the leading awarding body for maths. They'll take the most straightforward and logical approach to meet the government's requirements. They'll use the same clear design that you've told us makes them so accessible, while also ensuring a range of challenge for all abilities. + +.A wide range of exam practice to fully prepare students and help you track progress. With the new linear exams your students will want to feel fully prepared and know how they're progressing. We'll provide lots of exam practice to help you and your students understand and prepare for the assessments, including secure mock papers, practice papers and free topic tests with marking guidance. -# Supporting you in planning and implementing this qualification +. Complete support and free materials to help you understand and deliver the specification. Change is easier with the right support, so we'll be on hand to listen and give advice on how to understand and implement the changes. Whether it's through our Launch, Getting Ready to Teach, and Collaborative Networks events or via the renowned Maths Emporium, we'll be available face to face, online or over the phone throughout the lifetime of the qualification. We'll also provide you with free materials such as schemes of work, topic tests and progression maps. + +The published resources you know and trust, fully updated for 2017. Our new A Level Maths and Further Maths textbooks retain all the features you know and love about the. current series, while being fully updated to match the new specifications. Each textbook comes packed with additional online content that supports independent learning and they. all tie in with the free qualification support, giving you the most coherent approach to. teaching and learning. # Planning -Our Getting Started guide gives you an overview of the new A Level qualification to help you to get to grips with the changes to content and assessment, as well as helping you understand what these changes mean for you and your students. +Our Getting Started guide gives you an overview of the new A Level qualification to help you to get to grips with the changes to content and assessment, as well as helping you. understand what these changes mean for you and your students.. We will give you a course planner and scheme of work that you can adapt to suit your department. -Our mapping documents highlight the content changes between the legacy modular specification and the new linear specifications. +Our mapping documents highlight the content changes between the legacy modular. specification and the new linear specifications.. # Teaching and learning @@ -123,11 +119,13 @@ There will be lots of free teaching and learning support to help you deliver the We will also provide a range of resources to help you prepare your students for the assessments, including: -specimen papers written by our senior examiner team. practice papers made up from past exam questions that meet the new criteria secure mock papers marked exemplars of student work with examiner commentaries.. +specimen papers written by our senior examiner team. +practice papers made up from past exam questions that meet the new criteria secure mock papers +marked exemplars of student work with examiner commentaries.. # ResultsPlus and exam wizard -ResultsPlus provides the most detailed analysis available of your students' exam. performance. It can help you identify the topics and skills where further learning would benefit your students. +ResultsPlus provides the most detailed analysis available of your students' exam performance. It can help you identify the topics and skills where further learning would benefit your students. Exam Wizard is a data bank of past exam questions (and sample paper and specimen paper questions) allowing you to create bespoke test papers.. @@ -139,13 +137,11 @@ The renowned Mathematics Emporium helps you keep up to date with all areas of ma # Sign up to get Emporium emails -Get updates on the latest news, support resources, training and alerts for entry deadlines and key dates direct to your inbox. Just email mathsemporium@pearson.com to sign up.. +Get updates on the latest news, support resources, training and alerts for entry deadlines and key dates direct to your inbox. Just email mathsemporium@pearson.com to sign up. # Emporium website -Over 12 000 documents relating to past and present Edexcel mathematics qualifications available free. Visit www.edexcelmaths.com to register for an account. - -# Qualification at a glance +Over 12 000 documents relating to past and present Edexcel mathematics qualifications available free. Visit www.edexcelmaths.com to register for an account.. # Content and assessment overview @@ -153,15 +149,41 @@ The Pearson Edexcel Level 3 Advanced GCE in Mathematics consists of three extern Students must complete all assessment in May/June in any single year. -![Paper 1 and Paper 2 information, including paper codes and content overview.](images/img_4.png) +Paper 1: Pure Mathematics 1 (\*Paper code: 9MA0/01) +Paper 2: Pure Mathematics 2 (\*Paper code: 9MA0/02) +Each paper is: +2-hour written examination. +$33.33\%$ of the qualification. +100 marks +Content overview Topic 1 - Proof Topic 2 - Algebra and functions Topic 3 - Coordinate geometry in the $(x,y)$ plane Topic 4 - Sequences and series Topic 5 - Trigonometry Topic 6 - Exponentials and logarithms Topic 7 - Differentiation. Topic 8 - Integration. Topic 9 - Numerical methods Topic 10 - Vectors +Assessment overview +. Paper 1 and Paper 2 may contain questions on any topics from the Pure Mathematics content. Students must answer all questions. Calculators can be used in the assessment. -# Assessment overview +# Paper 3: Statistics and Mechanics (\*Paper code: 9MAo/03) -Paper 1 and Paper 2 may contain questions on any topics from the Pure Mathematics content. -Students must answer all questions. -Calculators can be used in the assessment.. +# 2-hour written examination + +33.33% of the qualification + +100 marks + +# Content overview + +# Section A: Statistics + +Topic 1 - Statistical sampling Topic 2 - Data presentation and interpretation Topic 3 - Probability Topic 4 - Statistical distributions Topic 5 - Statistical hypothesis testing + +# Section B: Mechanics + +Topic 6 - Quantities and units in mechanics +Topic 7 - Kinematics +Topic 8 - Forces and Newton's laws +Topic 9 - Moments + +# Assessment overview -![Paper 3 Statistics and Mechanics (*Paper code: 9MA0/03)](images/img_5.png) +Paper 3 will contain questions on topics from the Statistics content in Section A and Mechanics content in Section B.. +Students must answer all questions.. Calculators can be used in the assessment. \*See Appendix 8: Codes for a description of this code and all other codes relevant to this qualification. @@ -171,70 +193,70 @@ Calculators can be used in the assessment.. The aims and objectives of this qualification are to enable students to: -understand mathematics and mathematical processes in a way that promotes confidence, fosters enjoyment and provides a strong foundation for progress to further study +. understand mathematics and mathematical processes in a way that promotes confidence, fosters enjoyment and provides a strong foundation for progress to further study extend their range of mathematical skills and techniques understand coherence and progression in mathematics and how different areas of mathematics are connected apply mathematics in other fields of study and be aware of the relevance of mathematics to the world of work and to situations in society in general -use their mathematical knowledge to make logical and reasoned decisions in solving problems both within pure mathematics and in a variety of contexts, and communicate the. mathematical rationale for these decisions clearly -reason logically and recognise incorrect reasoning -generalise mathematically +use their mathematical knowledge to make logical and reasoned decisions in solving problems both within pure mathematics and in a variety of contexts, and communicate the mathematical rationale for these decisions clearly reason logically and recognise incorrect reasoning generalise mathematically construct mathematical proofs use their mathematical skills and techniques to solve challenging problems that require them to decide on the solution strategy recognise when mathematics can be used to analyse and solve a problem in context -represent situations mathematically and understand the relationship between problems in context and mathematical models that may be applied to solve them -draw diagrams and sketch graphs to help explore mathematical situations and interpret. solutions +represent situations mathematically and understand the relationship between problems in. context and mathematical models that may be applied to solve them +draw diagrams and sketch graphs to help explore mathematical situations and interpret solutions make deductions and inferences and draw conclusions by using mathematical reasoning interpret solutions and communicate their interpretation effectively in the context of the problem -read and comprehend mathematical arguments, including justifications of methods and formulae, and communicate their understanding read and comprehend articles concerning applications of mathematics and communicate their understanding -. use technology such as calculators and computers effectively and recognise when their. use may be inappropriate -. take increasing responsibility for their own learning and the evaluation of their own mathematical development. +read and comprehend mathematical arguments, including justifications of methods and formulae, and communicate their understanding +read and comprehend articles concerning applications of mathematics and communicate their understanding +use technology such as calculators and computers effectively and recognise when their use may be inappropriate +take increasing responsibility for their own learning and the evaluation of their own mathematical development. # Overarching themes -The overarching themes should be applied along with associated mathematical thinking and understanding, across the whole of the detailed content in this specification.. +The overarching themes should be applied along with associated mathematical thinking and understanding, across the whole of the detailed content in this specification. -These overarching themes are inherent throughout the content and students are required to develop skills in working scientifically over the course of this qualification. The skills show. teachers which skills need to be included as part of the learning and assessment of the. students. +These overarching themes are inherent throughout the content and students are required to develop skills in working scientifically over the course of this qualification. The skills show teachers which skills need to be included as part of the learning and assessment of the students. # Overarching theme 1: Mathematical argument, Ianguage and proof -A Level Mathematics students must use the mathematical notation set out in the booklet Mathematical Formulae and Statistical Tables and be able to recall the mathematical formulae and identities set out in Appendix 1. +A Level Mathematics students must use the mathematical notation set out in the booklet Mathematical Formulae and Statistical Tables and be able to recall the mathematical. formulae and identities set out in Appendix 1.. **Extracted table cells:** -![Row 0 Col 0](images/img_6.png_rows/row_0/col_0.png) -![Row 1 Col 0](images/img_6.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_6.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_6.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_6.png_rows/row_4/col_0.png) +![Row 0 Col 0](images/img_4.png_rows/row_0/col_0.png) +![Row 1 Col 0](images/img_4.png_rows/row_1/col_0.png) +![Row 2 Col 0](images/img_4.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_4.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_4.png_rows/row_4/col_0.png) Overarching theme 2: Mathematical problem solving **Extracted table cells:** -![Row 0 Col 0](images/img_8.png_rows/row_0/col_0.png) -![Row 1 Col 0](images/img_8.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_8.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_8.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_8.png_rows/row_4/col_0.png) -![Row 5 Col 0](images/img_8.png_rows/row_5/col_0.png) -![Row 6 Col 0](images/img_8.png_rows/row_6/col_0.png) +![Row 0 Col 0](images/img_6.png_rows/row_0/col_0.png) +![Row 1 Col 0](images/img_6.png_rows/row_1/col_0.png) +![Row 2 Col 0](images/img_6.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_6.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_6.png_rows/row_4/col_0.png) +![Row 5 Col 0](images/img_6.png_rows/row_5/col_0.png) +![Row 6 Col 0](images/img_6.png_rows/row_6/col_0.png) Overarching theme 3: Mathematical modelling **Extracted table cells:** -![Row 0 Col 0](images/img_7.png_rows/row_0/col_0.png) -![Row 1 Col 0](images/img_7.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_7.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_7.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_7.png_rows/row_4/col_0.png) +![Row 0 Col 0](images/img_5.png_rows/row_0/col_0.png) +![Row 1 Col 0](images/img_5.png_rows/row_1/col_0.png) +![Row 2 Col 0](images/img_5.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_5.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_5.png_rows/row_4/col_0.png) # Use of data in statistics Pearson has provided a large data set, which will support the assessment of Statistics in Paper 3: Statistics and Mechanics. Students are required to become familiar with the data set in advance of the final assessment.. -Assessments will be designed in such a way that questions assume knowledge and understanding of the data set. The expectation is that these questions should be likely to give a material advantage to students who have studied and are familiar with the data set. They might include questions/tasks that: +Assessments will be designed in such a way that questions assume knowledge and. understanding of the data set. The expectation is that these questions should be likely to give a material advantage to students who have studied and are familiar with the data set.. They might include questions/tasks that:. -assume familiarity with the terminology and contexts of the data, and do not explain them in a way that gives students who have not studied the data set the same opportunities to access marks as students who have studied them -use summary statistics or selected data from, or statistical diagrams based on, the data set - these might be provided in the question or task, or as stimulus materials -are based on samples related to the contexts in the data set, where students' work with the data set will help them understand the background context and/or require students to interpret data in ways that would be too demanding in an unfamiliar context. +assume familiarity with the terminology and contexts of the data, and do not explain them in a way that gives students who have not studied the data set the same opportunities to access marks as students who have studied them. +use summary statistics or selected data from, or statistical diagrams based on, the data set - these might be provided in the question or task, or as stimulus materials. +are based on samples related to the contexts in the data set, where students' work with the data set will help them understand the background context and/or. +require students to interpret data in ways that would be too demanding in an unfamiliar context. Students will not be required to have copies of the data set in the examination, nor will they be required to have detailed knowledge of the actual data within the data set. @@ -244,91 +266,114 @@ The data set can be downloaded from our website, qualifications.pearson.com. Thi To support the co-teaching of this qualification with the AS Mathematics qualification, common content has been highlighted in bold.. +**Extracted table cells:** +![Row 0 Col 0](images/img_7.png_rows/row_0/col_0.png) +![Row 0 Col 1](images/img_7.png_rows/row_0/col_1.png) +![Row 1 Col 0](images/img_7.png_rows/row_1/col_0.png) +![Row 1 Col 1](images/img_7.png_rows/row_1/col_1.png) + +**Extracted table cells:** +![Row 0 Col 0](images/img_8.png_rows/row_0/col_0.png) +![Row 0 Col 1](images/img_8.png_rows/row_0/col_1.png) +![Row 1 Col 0](images/img_8.png_rows/row_1/col_0.png) +![Row 1 Col 1](images/img_8.png_rows/row_1/col_1.png) +![Row 2 Col 0](images/img_8.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_8.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_8.png_rows/row_4/col_0.png) + **Extracted table cells:** ![Row 0 Col 0](images/img_9.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_9.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_9.png_rows/row_1/col_0.png) -![Row 1 Col 1](images/img_9.png_rows/row_1/col_1.png) +![Row 1 Col 1](images/img_9.png_rows/row_1/col_1.png) +![Row 2 Col 0](images/img_9.png_rows/row_2/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_10.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_10.png_rows/row_0/col_1.png) -![Row 1 Col 0](images/img_10.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_10.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_10.png_rows/row_3/col_0.png) +![Row 0 Col 2](images/img_10.png_rows/row_0/col_2.png) **Extracted table cells:** ![Row 0 Col 0](images/img_11.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_11.png_rows/row_0/col_1.png) -![Row 1 Col 0](images/img_11.png_rows/row_1/col_0.png) +![Row 1 Col 0](images/img_11.png_rows/row_1/col_0.png) +![Row 1 Col 1](images/img_11.png_rows/row_1/col_1.png) +![Row 2 Col 0](images/img_11.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_11.png_rows/row_3/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_12.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_12.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_12.png_rows/row_1/col_0.png) -![Row 1 Col 1](images/img_12.png_rows/row_1/col_1.png) +![Row 1 Col 1](images/img_12.png_rows/row_1/col_1.png) +![Row 2 Col 0](images/img_12.png_rows/row_2/col_0.png) +![Row 2 Col 1](images/img_12.png_rows/row_2/col_1.png) +![Row 3 Col 0](images/img_12.png_rows/row_3/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_13.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_13.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_13.png_rows/row_1/col_0.png) ![Row 1 Col 1](images/img_13.png_rows/row_1/col_1.png) -![Row 2 Col 0](images/img_13.png_rows/row_2/col_0.png) +![Row 2 Col 0](images/img_13.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_13.png_rows/row_3/col_0.png) +![Row 3 Col 1](images/img_13.png_rows/row_3/col_1.png) **Extracted table cells:** ![Row 0 Col 0](images/img_14.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_14.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_14.png_rows/row_1/col_0.png) -![Row 1 Col 1](images/img_14.png_rows/row_1/col_1.png) +![Row 1 Col 1](images/img_14.png_rows/row_1/col_1.png) +![Row 2 Col 0](images/img_14.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_14.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_14.png_rows/row_4/col_0.png) +![Row 5 Col 0](images/img_14.png_rows/row_5/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_15.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_15.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_15.png_rows/row_1/col_0.png) +![Row 1 Col 1](images/img_15.png_rows/row_1/col_1.png) ![Row 2 Col 0](images/img_15.png_rows/row_2/col_0.png) -![Row 2 Col 1](images/img_15.png_rows/row_2/col_1.png) +![Row 3 Col 0](images/img_15.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_15.png_rows/row_4/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_16.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_16.png_rows/row_0/col_1.png) -![Row 0 Col 2](images/img_16.png_rows/row_0/col_2.png) ![Row 1 Col 0](images/img_16.png_rows/row_1/col_0.png) ![Row 1 Col 1](images/img_16.png_rows/row_1/col_1.png) -![Row 1 Col 2](images/img_16.png_rows/row_1/col_2.png) ![Row 2 Col 0](images/img_16.png_rows/row_2/col_0.png) -![Row 2 Col 1](images/img_16.png_rows/row_2/col_1.png) ![Row 3 Col 0](images/img_16.png_rows/row_3/col_0.png) -![Row 3 Col 1](images/img_16.png_rows/row_3/col_1.png) ![Row 4 Col 0](images/img_16.png_rows/row_4/col_0.png) -![Row 4 Col 1](images/img_16.png_rows/row_4/col_1.png) -![Row 5 Col 0](images/img_16.png_rows/row_5/col_0.png) -![Row 5 Col 1](images/img_16.png_rows/row_5/col_1.png) +![Row 5 Col 0](images/img_16.png_rows/row_5/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_17.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_17.png_rows/row_0/col_1.png) -![Row 0 Col 2](images/img_17.png_rows/row_0/col_2.png) ![Row 1 Col 0](images/img_17.png_rows/row_1/col_0.png) ![Row 1 Col 1](images/img_17.png_rows/row_1/col_1.png) ![Row 2 Col 0](images/img_17.png_rows/row_2/col_0.png) -![Row 2 Col 1](images/img_17.png_rows/row_2/col_1.png) ![Row 3 Col 0](images/img_17.png_rows/row_3/col_0.png) -![Row 3 Col 1](images/img_17.png_rows/row_3/col_1.png) +![Row 4 Col 0](images/img_17.png_rows/row_4/col_0.png) +![Row 5 Col 0](images/img_17.png_rows/row_5/col_0.png) +![Row 6 Col 0](images/img_17.png_rows/row_6/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_18.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_18.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_18.png_rows/row_1/col_0.png) +![Row 1 Col 1](images/img_18.png_rows/row_1/col_1.png) ![Row 2 Col 0](images/img_18.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_18.png_rows/row_3/col_0.png) +![Row 2 Col 1](images/img_18.png_rows/row_2/col_1.png) **Extracted table cells:** ![Row 0 Col 0](images/img_19.png_rows/row_0/col_0.png) +![Row 0 Col 1](images/img_19.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_19.png_rows/row_1/col_0.png) +![Row 1 Col 1](images/img_19.png_rows/row_1/col_1.png) ![Row 2 Col 0](images/img_19.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_19.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_19.png_rows/row_4/col_0.png) -![Row 5 Col 0](images/img_19.png_rows/row_5/col_0.png) +![Row 3 Col 0](images/img_19.png_rows/row_3/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_20.png_rows/row_0/col_0.png) @@ -336,7 +381,10 @@ To support the co-teaching of this qualification with the AS Mathematics qualifi ![Row 1 Col 0](images/img_20.png_rows/row_1/col_0.png) ![Row 1 Col 1](images/img_20.png_rows/row_1/col_1.png) ![Row 2 Col 0](images/img_20.png_rows/row_2/col_0.png) -![Row 2 Col 1](images/img_20.png_rows/row_2/col_1.png) +![Row 3 Col 0](images/img_20.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_20.png_rows/row_4/col_0.png) +![Row 4 Col 1](images/img_20.png_rows/row_4/col_1.png) +![Row 5 Col 0](images/img_20.png_rows/row_5/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_21.png_rows/row_0/col_0.png) @@ -344,7 +392,8 @@ To support the co-teaching of this qualification with the AS Mathematics qualifi ![Row 1 Col 0](images/img_21.png_rows/row_1/col_0.png) ![Row 1 Col 1](images/img_21.png_rows/row_1/col_1.png) ![Row 2 Col 0](images/img_21.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_21.png_rows/row_3/col_0.png) +![Row 3 Col 0](images/img_21.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_21.png_rows/row_4/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_22.png_rows/row_0/col_0.png) @@ -353,8 +402,8 @@ To support the co-teaching of this qualification with the AS Mathematics qualifi ![Row 1 Col 1](images/img_22.png_rows/row_1/col_1.png) ![Row 2 Col 0](images/img_22.png_rows/row_2/col_0.png) ![Row 3 Col 0](images/img_22.png_rows/row_3/col_0.png) +![Row 3 Col 1](images/img_22.png_rows/row_3/col_1.png) ![Row 4 Col 0](images/img_22.png_rows/row_4/col_0.png) -![Row 4 Col 1](images/img_22.png_rows/row_4/col_1.png) ![Row 5 Col 0](images/img_22.png_rows/row_5/col_0.png) **Extracted table cells:** @@ -364,53 +413,32 @@ To support the co-teaching of this qualification with the AS Mathematics qualifi ![Row 1 Col 1](images/img_23.png_rows/row_1/col_1.png) ![Row 2 Col 0](images/img_23.png_rows/row_2/col_0.png) ![Row 3 Col 0](images/img_23.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_23.png_rows/row_4/col_0.png) +![Row 3 Col 1](images/img_23.png_rows/row_3/col_1.png) +![Row 4 Col 0](images/img_23.png_rows/row_4/col_0.png) +![Row 5 Col 0](images/img_23.png_rows/row_5/col_0.png) +![Row 6 Col 0](images/img_23.png_rows/row_6/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_24.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_24.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_24.png_rows/row_1/col_0.png) -![Row 1 Col 1](images/img_24.png_rows/row_1/col_1.png) -![Row 2 Col 0](images/img_24.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_24.png_rows/row_3/col_0.png) -![Row 3 Col 1](images/img_24.png_rows/row_3/col_1.png) -![Row 4 Col 0](images/img_24.png_rows/row_4/col_0.png) -![Row 5 Col 0](images/img_24.png_rows/row_5/col_0.png) - -**Extracted table cells:** -![Row 0 Col 0](images/img_25.png_rows/row_0/col_0.png) -![Row 0 Col 1](images/img_25.png_rows/row_0/col_1.png) -![Row 1 Col 0](images/img_25.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_25.png_rows/row_2/col_0.png) -![Row 2 Col 1](images/img_25.png_rows/row_2/col_1.png) -![Row 3 Col 0](images/img_25.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_25.png_rows/row_4/col_0.png) -![Row 5 Col 0](images/img_25.png_rows/row_5/col_0.png) - -**Extracted table cells:** -![Row 0 Col 0](images/img_26.png_rows/row_0/col_0.png) -![Row 0 Col 1](images/img_26.png_rows/row_0/col_1.png) -![Row 1 Col 0](images/img_26.png_rows/row_1/col_0.png) -![Row 1 Col 1](images/img_26.png_rows/row_1/col_1.png) +![Row 1 Col 1](images/img_24.png_rows/row_1/col_1.png) # Assessment information -First assessment: May/June 2018. -The assessments are 2 hours each. -The assessments are out of 100 marks. -Students must answer all questions.. -Calculators can be used in the assessments. -The booklet Mathematical Formulae and Statistical Tables will be provided for use in the assessments.. +First assessment: May/June 2018. The assessments are 2 hours each. The assessments are out of 100 marks. +Students must answer all questions. Calculators can be used in the assessments. +The booklet Mathematical Formulae and Statistical Tables will be provided for use in the assessments. # Synoptic assessment -Synoptic assessment requires students to work across different parts of a qualification and to show their accumulated knowledge and understanding of a topic or subject area. +Synoptic assessment requires students to work across different parts of a qualification and to show their accumulated knowledge and understanding of a topic or subject area.. -Synoptic assessment enables students to show their ability to combine their skills, knowledge and understanding with breadth and depth of the subject.. +Synoptic assessment enables students to show their ability to combine their skills, knowledge and understanding with breadth and depth of the subject. These papers assess synopticity. -# Sample assessment materials +Sample assessment materials A sample paper and mark scheme for these papers can be found in the Pearson Edexcel Level 3 Advanced GCE in Mathematics Sample Assessment Materials (SAMs) document. @@ -418,7 +446,20 @@ A sample paper and mark scheme for these papers can be found in the Pearson Edex All the Pure Mathematics content is assumed knowledge for Paper 3 and may be tested in parts of questions. -To support the co-teaching of this qualification with the AS Mathematics qualification, common content has been highlighted in bold.. +To support the co-teaching of this qualification with the AS Mathematics qualification, common content has been highlighted in bold. + +**Extracted table cells:** +![Row 0 Col 0](images/img_25.png_rows/row_0/col_0.png) +![Row 0 Col 1](images/img_25.png_rows/row_0/col_1.png) +![Row 1 Col 0](images/img_25.png_rows/row_1/col_0.png) +![Row 1 Col 1](images/img_25.png_rows/row_1/col_1.png) +![Row 2 Col 0](images/img_25.png_rows/row_2/col_0.png) +![Row 2 Col 1](images/img_25.png_rows/row_2/col_1.png) + +**Extracted table cells:** +![Row 0 Col 0](images/img_26.png_rows/row_0/col_0.png) +![Row 0 Col 1](images/img_26.png_rows/row_0/col_1.png) +![Row 1 Col 0](images/img_26.png_rows/row_1/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_27.png_rows/row_0/col_0.png) @@ -426,19 +467,25 @@ To support the co-teaching of this qualification with the AS Mathematics qualifi ![Row 1 Col 0](images/img_27.png_rows/row_1/col_0.png) ![Row 1 Col 1](images/img_27.png_rows/row_1/col_1.png) ![Row 2 Col 0](images/img_27.png_rows/row_2/col_0.png) -![Row 2 Col 1](images/img_27.png_rows/row_2/col_1.png) +![Row 2 Col 1](images/img_27.png_rows/row_2/col_1.png) +![Row 3 Col 0](images/img_27.png_rows/row_3/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_28.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_28.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_28.png_rows/row_1/col_0.png) -![Row 1 Col 1](images/img_28.png_rows/row_1/col_1.png) +![Row 1 Col 1](images/img_28.png_rows/row_1/col_1.png) +![Row 2 Col 0](images/img_28.png_rows/row_2/col_0.png) +![Row 2 Col 1](images/img_28.png_rows/row_2/col_1.png) +![Row 3 Col 0](images/img_28.png_rows/row_3/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_29.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_29.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_29.png_rows/row_1/col_0.png) -![Row 1 Col 1](images/img_29.png_rows/row_1/col_1.png) +![Row 1 Col 1](images/img_29.png_rows/row_1/col_1.png) +![Row 2 Col 0](images/img_29.png_rows/row_2/col_0.png) +![Row 2 Col 1](images/img_29.png_rows/row_2/col_1.png) **Extracted table cells:** ![Row 0 Col 0](images/img_30.png_rows/row_0/col_0.png) @@ -446,59 +493,50 @@ To support the co-teaching of this qualification with the AS Mathematics qualifi ![Row 1 Col 0](images/img_30.png_rows/row_1/col_0.png) ![Row 1 Col 1](images/img_30.png_rows/row_1/col_1.png) ![Row 2 Col 0](images/img_30.png_rows/row_2/col_0.png) -![Row 2 Col 1](images/img_30.png_rows/row_2/col_1.png) -![Row 3 Col 0](images/img_30.png_rows/row_3/col_0.png) +![Row 3 Col 0](images/img_30.png_rows/row_3/col_0.png) +![Row 3 Col 1](images/img_30.png_rows/row_3/col_1.png) **Extracted table cells:** ![Row 0 Col 0](images/img_31.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_31.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_31.png_rows/row_1/col_0.png) -![Row 1 Col 1](images/img_31.png_rows/row_1/col_1.png) +![Row 1 Col 1](images/img_31.png_rows/row_1/col_1.png) +![Row 2 Col 0](images/img_31.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_31.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_31.png_rows/row_4/col_0.png) +![Row 5 Col 0](images/img_31.png_rows/row_5/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_32.png_rows/row_0/col_0.png) ![Row 0 Col 1](images/img_32.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_32.png_rows/row_1/col_0.png) ![Row 1 Col 1](images/img_32.png_rows/row_1/col_1.png) -![Row 2 Col 0](images/img_32.png_rows/row_2/col_0.png) +![Row 2 Col 0](images/img_32.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_32.png_rows/row_3/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_33.png_rows/row_0/col_0.png) +![Row 0 Col 1](images/img_33.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_33.png_rows/row_1/col_0.png) +![Row 1 Col 1](images/img_33.png_rows/row_1/col_1.png) ![Row 2 Col 0](images/img_33.png_rows/row_2/col_0.png) ![Row 3 Col 0](images/img_33.png_rows/row_3/col_0.png) ![Row 4 Col 0](images/img_33.png_rows/row_4/col_0.png) -![Row 5 Col 0](images/img_33.png_rows/row_5/col_0.png) - -**Extracted table cells:** -![Row 0 Col 0](images/img_34.png_rows/row_0/col_0.png) -![Row 0 Col 1](images/img_34.png_rows/row_0/col_1.png) -![Row 1 Col 0](images/img_34.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_34.png_rows/row_2/col_0.png) - -**Extracted table cells:** -![Row 0 Col 0](images/img_35.png_rows/row_0/col_0.png) -![Row 0 Col 1](images/img_35.png_rows/row_0/col_1.png) -![Row 1 Col 0](images/img_35.png_rows/row_1/col_0.png) -![Row 1 Col 1](images/img_35.png_rows/row_1/col_1.png) -![Row 2 Col 0](images/img_35.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_35.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_35.png_rows/row_4/col_0.png) -![Row 4 Col 1](images/img_35.png_rows/row_4/col_1.png) +![Row 4 Col 1](images/img_33.png_rows/row_4/col_1.png) # Assessment information First assessment: May/June 2018. -.The assessment is 2 hours.. -.The assessment is out of 100 marks.. -Students must answer all questions.. -Calculators can be used in the assessment. The booklet 'Mathematical Formulae and Statistical Tables' will be provided for use in the assessment. +The assessment is 2 hours. +.The assessment is out of 100 marks. +Students must answer all questions. +Calculators can be used in the assessment. The booklet \`Mathematical Formulae and Statistical Tables' will be provided for use in the assessment. # Synoptic assessment Synoptic assessment requires students to work across different parts of a qualification and to show their accumulated knowledge and understanding of a topic or subject area. -Synoptic assessment enables students to show their ability to combine their skills, knowledge and understanding with breadth and depth of the subject.. +Synoptic assessment enables students to show their ability to combine their skills, knowledge and understanding with breadth and depth of the subject. This paper assesses synopticity. @@ -506,22 +544,27 @@ This paper assesses synopticity. A sample paper and mark scheme for this paper can be found in the Pearson Edexcel Level 3 Advanced GCE in Mathematics Sample Assessment Materials (SAMs) document. -# Assessment Objectives - **Extracted table cells:** -![Row 0 Col 0](images/img_36.png_rows/row_0/col_0.png) -![Row 0 Col 1](images/img_36.png_rows/row_0/col_1.png) -![Row 1 Col 0](images/img_36.png_rows/row_1/col_0.png) -![Row 1 Col 1](images/img_36.png_rows/row_1/col_1.png) -![Row 2 Col 0](images/img_36.png_rows/row_2/col_0.png) -![Row 2 Col 1](images/img_36.png_rows/row_2/col_1.png) -![Row 3 Col 0](images/img_36.png_rows/row_3/col_0.png) -![Row 3 Col 1](images/img_36.png_rows/row_3/col_1.png) +![Row 0 Col 0](images/img_34.png_rows/row_0/col_0.png) +![Row 0 Col 1](images/img_34.png_rows/row_0/col_1.png) +![Row 1 Col 0](images/img_34.png_rows/row_1/col_0.png) +![Row 1 Col 1](images/img_34.png_rows/row_1/col_1.png) +![Row 2 Col 0](images/img_34.png_rows/row_2/col_0.png) +![Row 2 Col 1](images/img_34.png_rows/row_2/col_1.png) +![Row 3 Col 0](images/img_34.png_rows/row_3/col_0.png) Further guidance on the interpretation of these assessment objectives is given in Appendix 4. -# Breakdown of Assessment Objectives +Breakdown of Assessment Objectives -![Assessment Objectives for GCE A Level papers.](images/img_37.png) +**Extracted table cells:** +![Row 0 Col 0](images/img_35.png_rows/row_0/col_0.png) +![Row 0 Col 1](images/img_35.png_rows/row_0/col_1.png) +![Row 1 Col 0](images/img_35.png_rows/row_1/col_0.png) +![Row 1 Col 1](images/img_35.png_rows/row_1/col_1.png) +![Row 2 Col 0](images/img_35.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_35.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_35.png_rows/row_4/col_0.png) +![Row 4 Col 1](images/img_35.png_rows/row_4/col_1.png) NB: Totals have been rounded either up or down. # 3 Administration and general information @@ -532,20 +575,18 @@ Details of how to enter students for the examinations for this qualification can # Discount code and performance tables -Centres should be aware that students who enter for more than one GCE qualification with the same discount code will have only one of the grades they achieve counted for the. -purpose of the school and college performance tables. This will be the grade for the larger. -qualification (i.e. the A Level grade rather than the AS grade). If the qualifications are the. -same size, then the better grade will be counted (please see Appendix 8: Codes).. +Centres should be aware that students who enter for more than one GCE qualification with the same discount code will have only one of the grades they achieve counted for the purpose of the school and college performance tables. This will be the grade for the larger qualification (i.e. the A Level grade rather than the AS grade). If the qualifications are the same size, then the better grade will be counted (please see Appendix 8: Codes). -Students should be advised that if they take two GCE qualifications with the same discount code, colleges, universities and employers which they wish to progress to are likely to take the view that this achievement is equivalent to only one GCE. The same view may be taken if students take two GCE qualifications that have different discount codes but have significant overlap of content. Students or their advisers who have any doubts about their subject combinations should check with the institution they wish to progress to before embarking on their programmes. +Students should be advised that if they take two GCE qualifications with the same discount. code, colleges, universities and employers which they wish to progress to are likely to take the view that this achievement is equivalent to only one GCE. The same view may be taken if students take two GCE qualifications that have different discount codes but have significant overlap of content. Students or their advisers who have any doubts about their subject. combinations should check with the institution they wish to progress to before embarking on their programmes. -# Access arrangements, reasonable adjustments, special consideration and malpractice. +# Access arrangements, reasonable adjustments, special consideration and malpractice -Equality and fairness are central to our work. Our equality policy requires all students to. have equal opportunity to access our qualifications and assessments, and our qualifications to be awarded in a way that is fair to every student.. +Equality and fairness are central to our work. Our equality policy requires all students to have equal opportunity to access our qualifications and assessments, and our qualifications to be awarded in a way that is fair to every student. We are committed to making sure that: -students with a protected characteristic (as defined by the Equality Act 2010) are not,. when they are undertaking one of our qualifications, disadvantaged in comparison to students who do not share that characteristic all students achieve the recognition they deserve for undertaking a qualification and that this achievement can be compared fairly to the achievement of their peers.. +students with a protected characteristic (as defined by the Equality Act 2010) are not,. when they are undertaking one of our qualifications, disadvantaged in comparison to students who do not share that characteristic. +. all students achieve the recognition they deserve for undertaking a qualification and that. this achievement can be compared fairly to the achievement of their peers.. # Language of assessment @@ -555,37 +596,38 @@ Assessment of this qualification will be available in English. All student work Access arrangements are agreed before an assessment. They allow students with special educational needs, disabilities or temporary injuries to:. -access the assessment show what they know and can do without changing the demands of the assessment. +access the assessment + +show what they know and can do without changing the demands of the assessment. -The intention behind an access arrangement is to meet the particular needs of an individual. student with a disability, without affecting the integrity of the assessment. Access. arrangements are the principal way in which awarding bodies comply with the duty under the Equality Act 2010 to make 'reasonable adjustments'.. +The intention behind an access arrangement is to meet the particular needs of an individual student with a disability, without affecting the integrity of the assessment. Access arrangements are the principal way in which awarding bodies comply with the duty under the Equality Act 2010 to make 'reasonable adjustments'. -Access arrangements should always be processed at the start of the course. Students will. -then know what is available and have the access arrangement(s) in place for assessment. +Access arrangements should always be processed at the start of the course. Students will then know what is available and have the access arrangement(s) in place for assessment.. # Reasonable adjustments The Equality Act 2010 requires an awarding organisation to make reasonable adjustments. where a person with a disability would be at a substantial disadvantage in undertaking an assessment. The awarding organisation is required to take reasonable steps to overcome. that disadvantage. -A reasonable adjustment for a particular person may be unique to that individual and therefore might not be in the list of available access arrangements.. +A reasonable adjustment for a particular person may be unique to that individual and therefore might not be in the list of available access arrangements. Whether an adjustment will be considered reasonable will depend on a number of factors, including: . the needs of the student with the disability. -.the effectiveness of the adjustment +:the effectiveness of the adjustment. .the cost of the adjustment; and. -. the likely impact of the adjustment on the student with the disability and other students. +.the likely impact of the adjustment on the student with the disability and other students. -An adjustment will not be approved if it involves unreasonable costs to the awarding. organisation, or affects timeframes or the security or integrity of the assessment. This is because the adjustment is not 'reasonable'.. +An adjustment will not be approved if it involves unreasonable costs to the awarding organisation, or affects timeframes or the security or integrity of the assessment. This is because the adjustment is not 'reasonable'.. # Special consideration -Special consideration is a post-examination adjustment to a student's mark or grade to reflect temporary injury, illness or other indisposition at the time of the examination/ assessment, which has had, or is reasonably likely to have had, a material effect on a candidate's ability to take an assessment or demonstrate their level of attainment in an assessment. +Special consideration is a post-examination adjustment to a student's mark or grade to reflect temporary injury, illness or other indisposition at the time of the examination/. assessment, which has had, or is reasonably likely to have had, a material effect on a candidate's ability to take an assessment or demonstrate their level of attainment in an assessment. # Further information Please see our website for further information about how to apply for access arrangements and special consideration. -For further information about access arrangements, reasonable adjustments and special consideration, please refer to the JcQ website: www.jcq.org.uk. +For further information about access arrangements, reasonable adjustments and special consideration, please refer to the JCQ website: www.jcq.org.uk.. # Malpractice @@ -599,9 +641,9 @@ Failure to report malpractice constitutes staff or centre malpractice. # Staff/centre malpractice -Staff and centre malpractice includes both deliberate malpractice and maladministration of. our qualifications. As with candidate malpractice, staff and centre malpractice is any act that. compromises or seeks to compromise the process of assessment or which undermines the integrity of the qualifications or the validity of results/certificates.. +Staff and centre malpractice includes both deliberate malpractice and maladministration of our qualifications. As with candidate malpractice, staff and centre malpractice is any act that compromises or seeks to compromise the process of assessment or which undermines the integrity of the qualifications or the validity of results/certificates. -All cases of suspected staff malpractice and maladministration must be reported immediately, before any investigation is undertaken by the centre, to Pearson on a JCQ Form M2(a) (available at www.jcq.org.uk/exams-office/malpractice). The form, supporting documentation and as much information as possible should be emailed to pqsmalpractice@pearson.com. Note that the final decision regarding appropriate sanctions lies with Pearson. +All cases of suspected staff malpractice and maladministration must be reported immediately, before any investigation is undertaken by the centre, to Pearson on a. JCQ Form M2(a) (available at www.jcq.org.uk/exams-office/malpractice). The form,. supporting documentation and as much information as possible should be emailed to pqsmalpractice@pearson.com. Note that the final decision regarding. appropriate sanctions lies with Pearson.. Failure to report malpractice itself constitutes malpractice. @@ -611,7 +653,7 @@ More detailed guidance on malpractice can be found in the latest version of the This qualification will be graded, awarded and certificated to comply with the requirements of Ofqual's General Conditions of Recognition. -This A Level qualification will be graded and certificated on a six-grade scale from $\mathsf{A}^{*}$ to E using the total combined marks (out of 3o0) for the three compulsory papers. Individual papers are not graded. +This A Level qualification will be graded and certificated on a six-grade scale from. $\mathsf{A}^{*}$ to E using the total combined marks (out of 3o0) for the three compulsory papers. Individual papers are not graded. Students whose level of achievement is below the minimum judged by Pearson to be of sufficient standard to be recorded on a certificate will receive an unclassified U result. @@ -621,7 +663,7 @@ The first certification opportunity for this qualification will be 2018. Pearson follows the JCQ policy concerning recruitment to our qualifications in that: -they must be available to anyone who is capable of reaching the required standard . they must be free from barriers that restrict access and progression equal opportunities exist for all students. +they must be available to anyone who is capable of reaching the required standard . they must be free from barriers that restrict access and progression. equal opportunities exist for all students.. # Prior learning and other requirements @@ -633,23 +675,23 @@ Students who would benefit most from studying this qualification are likely to h Students can progress from this qualification to: -. a range of different, relevant academics or vocational higher education qualifications employment in a relevant sector +a range of different, relevant academics or vocational higher education qualifications employment in a relevant sector further training. # Appendices Appendix 1: Formulae 49 Appendix 2: Notation 53 -Appendix 3: Use of calculators 59 +Appendix 3: Use of calculators. 59 Appendix 4: Assessment Objectives. 60 Appendix 5: The context for the development of this qualification 62 Appendix 6: Transferable skills 64 -Appendix 7: Level 3 Extended Project qualification 65 +Appendix 7: Level 3 Extended Project qualification. 65 Appendix 8: Codes 67 # Appendix 1: Formulae -Formulae that students are expected to know for A Level Mathematics are given below and will not appear in the booklet Mathematical Formulae and Statistical Tables, which will be provided for use with the paper. +Formulae that students are expected to know for A Level Mathematics are given below and will not appear in the booklet Mathematical Formulae and Statistical Tables, which will be. provided for use with the paper. # Pure Mathematics @@ -665,39 +707,26 @@ $$ # Laws of Logarithms -$$ -\begin{array}{l}{{\log_{a}x+\log_{a}y\equiv\log_{a}\left(x y\right)}}\ {{{}}}\ {{\log_{a}x-\log_{a}y\equiv\log_{a}\left(\displaystyle\frac{x}{y}\right)}}\ {{{}}}\ {{k\log_{a}x\equiv\log_{a}\left(x^{k}\right)}}\end{array} -$$ +$x=a^{n}\Leftrightarrow n=\log_{a}x$ for $a>0$ and $x>0$ $\begin{array}{l}{{\log_{a}x+\log_{a}y\equiv\log_{a}\left(x y\right)}}\ {{{}}}\ {{\log_{a}x-\log_{a}y\equiv\log_{a}\left(\displaystyle\frac{x}{y}\right)}}\ {{{}}}\ {{k\log_{a}x\equiv\log_{a}\left(x^{k}\right)}}\end{array}$ # Coordinate Geometry -A straight line graph, gradient $m$ passing through $\left(x_{1},y_{1}\right)$ has equation $y-y_{1}=m{\bigl(}x-x_{1}{\bigr)}$ Straight lines with gradients $m_{1}$ and $m_{2}$ are perpendicular when $m_{1}m_{2}=-1$ - -# Sequences - -General term of an arithmetic progression: +A straight line graph, gradient $m$ passing through $\left(x_{1},y_{1}\right)$ has equation $y-y_{1}=m{\bigl(}x-x_{1}{\bigr)}$ -$$ -u_{n}=a+\left(n-1\right)d -$$ +Straight lines with gradients $m_{1}$ and $m_{2}$ are perpendicular when. $m_{1}m_{2}=-1$ -General term of a geometric progression: +# Sequences -$$ -u_{n}=a r^{n-1} -$$ +General term of an arithmetic progression: $u_{n}=a+\left(n-1\right)d$ +General term of a geometric progression: $u_{n}=a r^{n-1}$ # Trigonometry -In the triangle ABC - -Sine rule: $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$ -Cosine rule: $a^{2}=b^{2}+c^{2}-2b c\cos A$ -$ {\mathsf{A r e a}}={\frac{1}{2}}a b\sin C$ +In the triangle ABC Sine rule:. $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$ Cosine rule: $a^{2}=b^{2}+c^{2}-2b c\cos A$ $ {\mathsf{A r e a}}={\frac{1}{2}}a b\sin C$ $\mathrm{cos}^{2}A+\mathrm{sin}^{2}A\equiv1$ $\sec^{2}A\equiv1+\tan^{2}A$ $\mathrm{cosec}^{2}A\equiv1+\mathrm{cot}^{2}A$ -$\mathrm{sin}2A\equiv2$ sin $A$ cos $A$ +$\mathrm{sin}2A\equiv2$ sin $A$ $A$ $\mathrm{cos}2A\equiv\mathrm{cos}^{2}A-\mathrm{sin}^{2}A$ tan $12A\equiv{\frac{2\tan A}{1-\tan^{2}A}}$ @@ -711,13 +740,13 @@ $$ Pythagoras' theorem: -In any right-angled triangle where a, $b$ and $c$ are the lengths of the sides and. $c$ is the hypotenuse, c2= a2 + b2 +In any right-angled triangle where a, $b$ and $c$ are the lengths of the sides and $c$ is the hypotenuse, $c^{2}=a^{2}+b^{2}$ -Area of a trapezium $={\frac{1}{2}}(a+b)h$ , where $a$ and $b$ are the lengths of the parallel sides and $h$ is their perpendicular separation. +Area of a trapezium. $={\frac{1}{2}}(a+b)h$ , where $a$ and $b$ are the lengths of the parallel sides and $h$ is their perpendicular separation.. -Volume of a prism $=$ area of cross section $\times$ length. +Volume of a prism $=$ area of cross section $\times$ length -For a circle of radius. $r,$ where an angle at the centre of. $\theta$ radians subtends an arc of length. $s$ and encloses an associated sector of area $A$ +For a circle of radius $r,$ where an angle at the centre of $\theta$ radians subtends an arc of length $s$ and encloses an associated sector of area $A$ $$ s=r\theta A={\frac{1}{2}}r^{2}\theta @@ -725,26 +754,48 @@ $$ # Calculus and Differential Equations -Differentiation -Function Derivative -$x^{n}$ nxn-1 -sin kx k cos kx -cos kx -k sin kx -ekr kelox -ln x 1 x -f(x) +g(x) f'(x)+g'(x) -f(x)g(x) f'(x)g(x)+f(x)g'(x) -f(g(x) f(g(x)g(x) -Integration -Function Integral -$x^{n}$ ${\frac{1}{n+1}}x^{n+1}+c,n\neq-1$ -cos kx ${\frac{1}{k}}\sin k x+c$ -sin kx $-{\frac{1}{k}}\cos k x+c$ -ehr $\frac{1}{k}\mathtt{e}^{k x}+c$ -1 $\ln\left|x\right|+c,x\neq0$ +# Differentiation + +Function +tn +sin kx +cos kx +ehr +ln x +f(x) +g(x) +f(x)g(x) +f(g(x)) +Derivativee +nxn-1 +k cos kx +-k sin kx +kekx +1 +x +f'(x)+g'(x) +f'(x)g(x)+f(x)g'(x) +f(g(x))g'(x) + +# Integration + +Function +$x^{n}$ +cos kx +sin kx +kx +1 x -f'(x)+g'(x) f(x) +g(x)+c -f'(g(x))g'(x) f(g(x))+c +f'(x) + g'(x) +f'(g(x))g'(x) +Integral +${\frac{1}{n+1}}x^{n+1}+c,n\neq-1$ +${\frac{1}{k}}\sin k x+c$ +$-{\frac{1}{k}}\cos k x+c$ +$\frac{1}{k}\mathtt{e}^{k x}+c$ +$\ln\left|x\right|+c,x\neq0$ +f(x)+g(x)+c +f(g(x))+c + Area under a curve $=\intop_{a}^{b}y\mathrm{d}x(y\geqslant0)$ # Vectors @@ -763,10 +814,8 @@ The standard Normal variable: $Z={\frac{X-\mu}{\sigma}}$ where $X\sim\mathrm{N}{ # Forces and Equilibrium -Weight $={\mathsf{m a s s}}\times g$ - -Friction: $F\leqslant\mu R$ - +Weight $={\mathsf{m a s s}}\times g$ +Friction: $F\leqslant\mu R$ Newton's second law in the form: $F=m a$ # Kinematics @@ -779,32 +828,55 @@ $$ # Appendix 2: Notation -The tables below set out the notation that must be used in A Level Mathematics examinations. Students will be expected to understand this notation without need for. further explanation. +The tables below set out the notation that must be used in A Level Mathematics examinations. Students will be expected to understand this notation without need for further explanation. **Extracted table cells:** -![Row 0 Col 0](images/img_38.png_rows/row_0/col_0.png) -![Row 1 Col 0](images/img_38.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_38.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_38.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_38.png_rows/row_4/col_0.png) -![Row 5 Col 0](images/img_38.png_rows/row_5/col_0.png) -![Row 6 Col 0](images/img_38.png_rows/row_6/col_0.png) -![Row 7 Col 0](images/img_38.png_rows/row_7/col_0.png) -![Row 8 Col 0](images/img_38.png_rows/row_8/col_0.png) -![Row 9 Col 0](images/img_38.png_rows/row_9/col_0.png) -![Row 10 Col 0](images/img_38.png_rows/row_10/col_0.png) -![Row 11 Col 0](images/img_38.png_rows/row_11/col_0.png) -![Row 12 Col 0](images/img_38.png_rows/row_12/col_0.png) -![Row 13 Col 0](images/img_38.png_rows/row_13/col_0.png) -![Row 14 Col 0](images/img_38.png_rows/row_14/col_0.png) -![Row 15 Col 0](images/img_38.png_rows/row_15/col_0.png) -![Row 16 Col 0](images/img_38.png_rows/row_16/col_0.png) -![Row 17 Col 0](images/img_38.png_rows/row_17/col_0.png) -![Row 18 Col 0](images/img_38.png_rows/row_18/col_0.png) -![Row 19 Col 0](images/img_38.png_rows/row_19/col_0.png) -![Row 20 Col 0](images/img_38.png_rows/row_20/col_0.png) -![Row 21 Col 0](images/img_38.png_rows/row_21/col_0.png) -![Row 22 Col 0](images/img_38.png_rows/row_22/col_0.png) +![Row 0 Col 0](images/img_36.png_rows/row_0/col_0.png) +![Row 1 Col 0](images/img_36.png_rows/row_1/col_0.png) +![Row 2 Col 0](images/img_36.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_36.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_36.png_rows/row_4/col_0.png) +![Row 5 Col 0](images/img_36.png_rows/row_5/col_0.png) +![Row 6 Col 0](images/img_36.png_rows/row_6/col_0.png) +![Row 7 Col 0](images/img_36.png_rows/row_7/col_0.png) +![Row 8 Col 0](images/img_36.png_rows/row_8/col_0.png) +![Row 9 Col 0](images/img_36.png_rows/row_9/col_0.png) +![Row 10 Col 0](images/img_36.png_rows/row_10/col_0.png) +![Row 11 Col 0](images/img_36.png_rows/row_11/col_0.png) +![Row 12 Col 0](images/img_36.png_rows/row_12/col_0.png) +![Row 13 Col 0](images/img_36.png_rows/row_13/col_0.png) +![Row 14 Col 0](images/img_36.png_rows/row_14/col_0.png) +![Row 15 Col 0](images/img_36.png_rows/row_15/col_0.png) +![Row 16 Col 0](images/img_36.png_rows/row_16/col_0.png) +![Row 17 Col 0](images/img_36.png_rows/row_17/col_0.png) +![Row 18 Col 0](images/img_36.png_rows/row_18/col_0.png) +![Row 19 Col 0](images/img_36.png_rows/row_19/col_0.png) +![Row 20 Col 0](images/img_36.png_rows/row_20/col_0.png) +![Row 21 Col 0](images/img_36.png_rows/row_21/col_0.png) +![Row 22 Col 0](images/img_36.png_rows/row_22/col_0.png) + +**Extracted table cells:** +![Row 0 Col 0](images/img_37.png_rows/row_0/col_0.png) +![Row 1 Col 0](images/img_37.png_rows/row_1/col_0.png) +![Row 2 Col 0](images/img_37.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_37.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_37.png_rows/row_4/col_0.png) +![Row 5 Col 0](images/img_37.png_rows/row_5/col_0.png) +![Row 6 Col 0](images/img_37.png_rows/row_6/col_0.png) +![Row 7 Col 0](images/img_37.png_rows/row_7/col_0.png) +![Row 8 Col 0](images/img_37.png_rows/row_8/col_0.png) +![Row 9 Col 0](images/img_37.png_rows/row_9/col_0.png) +![Row 10 Col 0](images/img_37.png_rows/row_10/col_0.png) +![Row 11 Col 0](images/img_37.png_rows/row_11/col_0.png) +![Row 12 Col 0](images/img_37.png_rows/row_12/col_0.png) +![Row 13 Col 0](images/img_37.png_rows/row_13/col_0.png) +![Row 14 Col 0](images/img_37.png_rows/row_14/col_0.png) +![Row 15 Col 0](images/img_37.png_rows/row_15/col_0.png) +![Row 16 Col 0](images/img_37.png_rows/row_16/col_0.png) +![Row 17 Col 0](images/img_37.png_rows/row_17/col_0.png) +![Row 18 Col 0](images/img_37.png_rows/row_18/col_0.png) +![Row 19 Col 0](images/img_37.png_rows/row_19/col_0.png) +![Row 20 Col 0](images/img_37.png_rows/row_20/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_39.png_rows/row_0/col_0.png) @@ -816,30 +888,23 @@ The tables below set out the notation that must be used in A Level Mathematics e ![Row 6 Col 0](images/img_39.png_rows/row_6/col_0.png) ![Row 7 Col 0](images/img_39.png_rows/row_7/col_0.png) ![Row 8 Col 0](images/img_39.png_rows/row_8/col_0.png) -![Row 9 Col 0](images/img_39.png_rows/row_9/col_0.png) -![Row 10 Col 0](images/img_39.png_rows/row_10/col_0.png) -![Row 11 Col 0](images/img_39.png_rows/row_11/col_0.png) -![Row 12 Col 0](images/img_39.png_rows/row_12/col_0.png) -![Row 13 Col 0](images/img_39.png_rows/row_13/col_0.png) -![Row 14 Col 0](images/img_39.png_rows/row_14/col_0.png) -![Row 15 Col 0](images/img_39.png_rows/row_15/col_0.png) -![Row 16 Col 0](images/img_39.png_rows/row_16/col_0.png) -![Row 17 Col 0](images/img_39.png_rows/row_17/col_0.png) -![Row 18 Col 0](images/img_39.png_rows/row_18/col_0.png) -![Row 19 Col 0](images/img_39.png_rows/row_19/col_0.png) -![Row 20 Col 0](images/img_39.png_rows/row_20/col_0.png) +![Row 9 Col 0](images/img_39.png_rows/row_9/col_0.png) + +**Extracted table cells:** +![Row 0 Col 0](images/img_38.png_rows/row_0/col_0.png) +![Row 1 Col 0](images/img_38.png_rows/row_1/col_0.png) +![Row 2 Col 0](images/img_38.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_38.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_38.png_rows/row_4/col_0.png) +![Row 5 Col 0](images/img_38.png_rows/row_5/col_0.png) +![Row 6 Col 0](images/img_38.png_rows/row_6/col_0.png) +![Row 7 Col 0](images/img_38.png_rows/row_7/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_40.png_rows/row_0/col_0.png) +![Row 0 Col 1](images/img_40.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_40.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_40.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_40.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_40.png_rows/row_4/col_0.png) -![Row 5 Col 0](images/img_40.png_rows/row_5/col_0.png) -![Row 6 Col 0](images/img_40.png_rows/row_6/col_0.png) -![Row 7 Col 0](images/img_40.png_rows/row_7/col_0.png) -![Row 8 Col 0](images/img_40.png_rows/row_8/col_0.png) -![Row 9 Col 0](images/img_40.png_rows/row_9/col_0.png) +![Row 1 Col 1](images/img_40.png_rows/row_1/col_1.png) **Extracted table cells:** ![Row 0 Col 0](images/img_41.png_rows/row_0/col_0.png) @@ -850,27 +915,29 @@ The tables below set out the notation that must be used in A Level Mathematics e ![Row 5 Col 0](images/img_41.png_rows/row_5/col_0.png) ![Row 6 Col 0](images/img_41.png_rows/row_6/col_0.png) ![Row 7 Col 0](images/img_41.png_rows/row_7/col_0.png) -![Row 8 Col 0](images/img_41.png_rows/row_8/col_0.png) - -**Extracted table cells:** -![Row 0 Col 0](images/img_45.png_rows/row_0/col_0.png) -![Row 0 Col 1](images/img_45.png_rows/row_0/col_1.png) -![Row 1 Col 0](images/img_45.png_rows/row_1/col_0.png) -![Row 1 Col 1](images/img_45.png_rows/row_1/col_1.png) -![Row 2 Col 0](images/img_45.png_rows/row_2/col_0.png) -![Row 2 Col 1](images/img_45.png_rows/row_2/col_1.png) - -**Extracted table cells:** -![Row 0 Col 0](images/img_44.png_rows/row_0/col_0.png) -![Row 1 Col 0](images/img_44.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_44.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_44.png_rows/row_3/col_0.png) +![Row 8 Col 0](images/img_41.png_rows/row_8/col_0.png) +![Row 9 Col 0](images/img_41.png_rows/row_9/col_0.png) +![Row 10 Col 0](images/img_41.png_rows/row_10/col_0.png) +![Row 11 Col 0](images/img_41.png_rows/row_11/col_0.png) +![Row 12 Col 0](images/img_41.png_rows/row_12/col_0.png) +![Row 13 Col 0](images/img_41.png_rows/row_13/col_0.png) +![Row 14 Col 0](images/img_41.png_rows/row_14/col_0.png) +![Row 15 Col 0](images/img_41.png_rows/row_15/col_0.png) +![Row 16 Col 0](images/img_41.png_rows/row_16/col_0.png) +![Row 17 Col 0](images/img_41.png_rows/row_17/col_0.png) +![Row 18 Col 0](images/img_41.png_rows/row_18/col_0.png) **Extracted table cells:** ![Row 0 Col 0](images/img_43.png_rows/row_0/col_0.png) +![Row 0 Col 1](images/img_43.png_rows/row_0/col_1.png) ![Row 1 Col 0](images/img_43.png_rows/row_1/col_0.png) +![Row 1 Col 1](images/img_43.png_rows/row_1/col_1.png) ![Row 2 Col 0](images/img_43.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_43.png_rows/row_3/col_0.png) +![Row 2 Col 1](images/img_43.png_rows/row_2/col_1.png) +![Row 3 Col 0](images/img_43.png_rows/row_3/col_0.png) +![Row 3 Col 1](images/img_43.png_rows/row_3/col_1.png) +![Row 4 Col 0](images/img_43.png_rows/row_4/col_0.png) +![Row 4 Col 1](images/img_43.png_rows/row_4/col_1.png) **Extracted table cells:** ![Row 0 Col 0](images/img_42.png_rows/row_0/col_0.png) @@ -878,71 +945,55 @@ The tables below set out the notation that must be used in A Level Mathematics e ![Row 2 Col 0](images/img_42.png_rows/row_2/col_0.png) ![Row 3 Col 0](images/img_42.png_rows/row_3/col_0.png) ![Row 4 Col 0](images/img_42.png_rows/row_4/col_0.png) -![Row 5 Col 0](images/img_42.png_rows/row_5/col_0.png) - -**Extracted table cells:** -![Row 0 Col 0](images/img_47.png_rows/row_0/col_0.png) -![Row 1 Col 0](images/img_47.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_47.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_47.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_47.png_rows/row_4/col_0.png) +![Row 5 Col 0](images/img_42.png_rows/row_5/col_0.png) +![Row 6 Col 0](images/img_42.png_rows/row_6/col_0.png) +![Row 7 Col 0](images/img_42.png_rows/row_7/col_0.png) +![Row 8 Col 0](images/img_42.png_rows/row_8/col_0.png) +![Row 9 Col 0](images/img_42.png_rows/row_9/col_0.png) +![Row 10 Col 0](images/img_42.png_rows/row_10/col_0.png) +![Row 11 Col 0](images/img_42.png_rows/row_11/col_0.png) +![Row 12 Col 0](images/img_42.png_rows/row_12/col_0.png) +![Row 13 Col 0](images/img_42.png_rows/row_13/col_0.png) +![Row 14 Col 0](images/img_42.png_rows/row_14/col_0.png) +![Row 15 Col 0](images/img_42.png_rows/row_15/col_0.png) +![Row 16 Col 0](images/img_42.png_rows/row_16/col_0.png) +![Row 17 Col 0](images/img_42.png_rows/row_17/col_0.png) **Extracted table cells:** -![Row 0 Col 0](images/img_46.png_rows/row_0/col_0.png) -![Row 1 Col 0](images/img_46.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_46.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_46.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_46.png_rows/row_4/col_0.png) -![Row 5 Col 0](images/img_46.png_rows/row_5/col_0.png) -![Row 6 Col 0](images/img_46.png_rows/row_6/col_0.png) -![Row 7 Col 0](images/img_46.png_rows/row_7/col_0.png) -![Row 8 Col 0](images/img_46.png_rows/row_8/col_0.png) -![Row 9 Col 0](images/img_46.png_rows/row_9/col_0.png) -![Row 10 Col 0](images/img_46.png_rows/row_10/col_0.png) -![Row 11 Col 0](images/img_46.png_rows/row_11/col_0.png) -![Row 12 Col 0](images/img_46.png_rows/row_12/col_0.png) -![Row 13 Col 0](images/img_46.png_rows/row_13/col_0.png) -![Row 14 Col 0](images/img_46.png_rows/row_14/col_0.png) -![Row 15 Col 0](images/img_46.png_rows/row_15/col_0.png) -![Row 16 Col 0](images/img_46.png_rows/row_16/col_0.png) -![Row 17 Col 0](images/img_46.png_rows/row_17/col_0.png) -![Row 18 Col 0](images/img_46.png_rows/row_18/col_0.png) - -**Extracted table cells:** -![Row 0 Col 0](images/img_49.png_rows/row_0/col_0.png) -![Row 1 Col 0](images/img_49.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_49.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_49.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_49.png_rows/row_4/col_0.png) -![Row 5 Col 0](images/img_49.png_rows/row_5/col_0.png) -![Row 6 Col 0](images/img_49.png_rows/row_6/col_0.png) -![Row 7 Col 0](images/img_49.png_rows/row_7/col_0.png) -![Row 8 Col 0](images/img_49.png_rows/row_8/col_0.png) -![Row 9 Col 0](images/img_49.png_rows/row_9/col_0.png) -![Row 10 Col 0](images/img_49.png_rows/row_10/col_0.png) -![Row 11 Col 0](images/img_49.png_rows/row_11/col_0.png) -![Row 12 Col 0](images/img_49.png_rows/row_12/col_0.png) - -**Extracted table cells:** -![Row 0 Col 0](images/img_48.png_rows/row_0/col_0.png) -![Row 1 Col 0](images/img_48.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_48.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_48.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_48.png_rows/row_4/col_0.png) -![Row 5 Col 0](images/img_48.png_rows/row_5/col_0.png) -![Row 6 Col 0](images/img_48.png_rows/row_6/col_0.png) -![Row 7 Col 0](images/img_48.png_rows/row_7/col_0.png) -![Row 8 Col 0](images/img_48.png_rows/row_8/col_0.png) -![Row 9 Col 0](images/img_48.png_rows/row_9/col_0.png) -![Row 10 Col 0](images/img_48.png_rows/row_10/col_0.png) -![Row 11 Col 0](images/img_48.png_rows/row_11/col_0.png) -![Row 12 Col 0](images/img_48.png_rows/row_12/col_0.png) -![Row 13 Col 0](images/img_48.png_rows/row_13/col_0.png) -![Row 14 Col 0](images/img_48.png_rows/row_14/col_0.png) +![Row 0 Col 0](images/img_44.png_rows/row_0/col_0.png) +![Row 1 Col 0](images/img_44.png_rows/row_1/col_0.png) +![Row 2 Col 0](images/img_44.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_44.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_44.png_rows/row_4/col_0.png) +![Row 5 Col 0](images/img_44.png_rows/row_5/col_0.png) +![Row 6 Col 0](images/img_44.png_rows/row_6/col_0.png) +![Row 7 Col 0](images/img_44.png_rows/row_7/col_0.png) +![Row 8 Col 0](images/img_44.png_rows/row_8/col_0.png) +![Row 9 Col 0](images/img_44.png_rows/row_9/col_0.png) +![Row 10 Col 0](images/img_44.png_rows/row_10/col_0.png) +![Row 11 Col 0](images/img_44.png_rows/row_11/col_0.png) +![Row 12 Col 0](images/img_44.png_rows/row_12/col_0.png) +![Row 13 Col 0](images/img_44.png_rows/row_13/col_0.png) +![Row 14 Col 0](images/img_44.png_rows/row_14/col_0.png) +![Row 15 Col 0](images/img_44.png_rows/row_15/col_0.png) +![Row 16 Col 0](images/img_44.png_rows/row_16/col_0.png) +![Row 17 Col 0](images/img_44.png_rows/row_17/col_0.png) +![Row 18 Col 0](images/img_44.png_rows/row_18/col_0.png) +![Row 19 Col 0](images/img_44.png_rows/row_19/col_0.png) +![Row 20 Col 0](images/img_44.png_rows/row_20/col_0.png) +![Row 21 Col 0](images/img_44.png_rows/row_21/col_0.png) +![Row 22 Col 0](images/img_44.png_rows/row_22/col_0.png) +![Row 23 Col 0](images/img_44.png_rows/row_23/col_0.png) +![Row 24 Col 0](images/img_44.png_rows/row_24/col_0.png) +![Row 25 Col 0](images/img_44.png_rows/row_25/col_0.png) +![Row 26 Col 0](images/img_44.png_rows/row_26/col_0.png) +![Row 27 Col 0](images/img_44.png_rows/row_27/col_0.png) +![Row 28 Col 0](images/img_44.png_rows/row_28/col_0.png) +![Row 29 Col 0](images/img_44.png_rows/row_29/col_0.png) # Appendix 3: Use of calculators -Students may use a calculator in all A Level Mathematics examinations. Students are responsible for making sure that their calculators meet the guidelines set out in this appendix. +Students may use a calculator in all A Level Mathematics examinations. Students are. responsible for making sure that their calculators meet the guidelines set out in this appendix. The use of technology permeates the study of A Level Mathematics. Calculators used must include the following features: @@ -952,7 +1003,7 @@ The use of technology permeates the study of A Level Mathematics. Calculators us In addition, students must be told these regulations before sitting an examination: **Extracted table cells:** -![Row 0 Col 0](images/img_50.png_rows/row_0/col_0.png) +![Row 0 Col 0](images/img_45.png_rows/row_0/col_0.png) Advice: $\ast_{\mathsf{a n}}$ invigilator may give a student a replacement calculator. @@ -960,71 +1011,68 @@ Advice: $\ast_{\mathsf{a n}}$ invigilator may give a student a replacement calcu The following tables outline in detail the strands and elements of each Assessment Objective for A Level Mathematics, as provided by Ofqual in the document GCE Subject Level Guidance for Mathematics. -.A 'strand' is a discrete bullet point that is formally part of an assessment objective . An 'element' is an ability that the assessment objective does not formally separate, but that could be discretely targeted or credited. +. A 'strand' is a discrete bullet point that is formally part of an assessment objective An 'element' is an ability that the assessment objective does not formally separate, but that could be discretely targeted or credited. **Extracted table cells:** -![Row 0 Col 0](images/img_51.png_rows/row_0/col_0.png) -![Row 1 Col 0](images/img_51.png_rows/row_1/col_0.png) - -**Extracted table cells:** -![Row 0 Col 0](images/img_52.png_rows/row_0/col_0.png) -![Row 1 Col 0](images/img_52.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_52.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_52.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_52.png_rows/row_4/col_0.png) - -AO3: Solve problems within mathematics and in other contexts +![Row 0 Col 0](images/img_46.png_rows/row_0/col_0.png) +![Row 1 Col 0](images/img_46.png_rows/row_1/col_0.png) +![Row 2 Col 0](images/img_46.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_46.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_46.png_rows/row_4/col_0.png) +![Row 5 Col 0](images/img_46.png_rows/row_5/col_0.png) +![Row 6 Col 0](images/img_46.png_rows/row_6/col_0.png) +![Row 7 Col 0](images/img_46.png_rows/row_7/col_0.png) +![Row 8 Col 0](images/img_46.png_rows/row_8/col_0.png) +![Row 9 Col 0](images/img_46.png_rows/row_9/col_0.png) +![Row 10 Col 0](images/img_46.png_rows/row_10/col_0.png) +![Row 11 Col 0](images/img_46.png_rows/row_11/col_0.png) +![Row 12 Col 0](images/img_46.png_rows/row_12/col_0.png) **Extracted table cells:** -![Row 0 Col 0](images/img_53.png_rows/row_0/col_0.png) -![Row 1 Col 0](images/img_53.png_rows/row_1/col_0.png) -![Row 2 Col 0](images/img_53.png_rows/row_2/col_0.png) -![Row 3 Col 0](images/img_53.png_rows/row_3/col_0.png) -![Row 4 Col 0](images/img_53.png_rows/row_4/col_0.png) -![Row 5 Col 0](images/img_53.png_rows/row_5/col_0.png) -![Row 6 Col 0](images/img_53.png_rows/row_6/col_0.png) -![Row 7 Col 0](images/img_53.png_rows/row_7/col_0.png) -![Row 8 Col 0](images/img_53.png_rows/row_8/col_0.png) +![Row 0 Col 0](images/img_47.png_rows/row_0/col_0.png) +![Row 1 Col 0](images/img_47.png_rows/row_1/col_0.png) +![Row 2 Col 0](images/img_47.png_rows/row_2/col_0.png) +![Row 3 Col 0](images/img_47.png_rows/row_3/col_0.png) +![Row 4 Col 0](images/img_47.png_rows/row_4/col_0.png) +![Row 5 Col 0](images/img_47.png_rows/row_5/col_0.png) +![Row 6 Col 0](images/img_47.png_rows/row_6/col_0.png) +![Row 7 Col 0](images/img_47.png_rows/row_7/col_0.png) +![Row 8 Col 0](images/img_47.png_rows/row_8/col_0.png) +![Row 9 Col 0](images/img_47.png_rows/row_9/col_0.png) # Assessment Objectives coverage -There will be full coverage of all elements of the Assessment Objectives, with the exception of AO3.2b and AO3.5c, in each set of A Level Mathematics assessments offered by Pearson. Elements AO3.2b and AO3.5c will be covered in each route through the qualification within three years. +There will be full coverage of all elements of the Assessment Objectives, with the exception. of AO3.2b and AO3.5c, in each set of A Level Mathematics assessments offered by Pearson. Elements AO3.2b and AO3.5c will be covered in each route through the qualification within three years. # Appendix 5: The context for the development of this qualification -All our qualifications are designed to meet our World Class Qualification Principles[1] and our ambition to put the student at the heart of everything we do.. +All our qualifications are designed to meet our World Class Qualification Principles[1] and our ambition to put the student at the heart of everything we do. We have developed and designed this qualification by: -reviewing other curricula and qualifications to ensure that it is comparable with those taken in high-performing jurisdictions overseas -consulting with key stakeholders on content and assessment, including learned bodies, subject associations, higher-education academics, teachers and employers to ensure this qualification is suitable for a UK context -reviewing the legacy qualification and building on its positive attributes. - -This qualification has also been developed to meet criteria stipulated by Ofqual in their documents GCE Qualification Level Conditions and Requirements and GCE Subject Level Conditions and Requirements for Mathematics, published in April 2016. +reviewing other curricula and qualifications to ensure that it is comparable with those taken in high-performing jurisdictions overseas. +consulting with key stakeholders on content and assessment, including learned bodies,. subject associations, higher-education academics, teachers and employers to ensure this. qualification is suitable for a UK context. +. reviewing the legacy qualification and building on its positive attributes.. -[1] Pearson's World Class Qualification Principles ensure that our qualifications are: - -demanding, through internationally benchmarked standards, encouraging deep learning and measuring higher-order skills. rigorous, through setting and maintaining standards over time, developing reliable and valid assessment tasks and processes, and generating confidence in end users of the knowledge, skills and competencies of certified students -inclusive, through conceptualising learning as continuous, recognising that students develop at. different rates and have different learning needs, and focusing on progression -empowering, through promoting the development of transferable skills, see Appendix 6.. +This qualification has also been developed to meet criteria stipulated by Ofqual in their. documents GCE Qualification Level Conditions and Requirements and GCE Subject Leve! Conditions and Requirements for Mathematics, published in April 2016.. # From Pearson's Expert Panel for World Class Qualifications # May 2014 -" The reform of the qualifications system in England is a profoundly important change to the education system. Teachers need to know that the new qualifications will assist them in helping their learners make progress in their lives.. +"The reform of the qualifications system in England is a profoundly important change to the education system. Teachers need to know that the new qualifications will assist them in helping their learners make progress in their lives.. When these changes were first proposed we were approached by Pearson to join an 'Expert Panel' that would advise them on the development of the new qualifications. -We were chosen, either because of our expertise in the UK education system, or because of our experience in reforming qualifications in other systems around the world as diverse as Singapore, Hong Kong, Australia and a number of countries across Europe. +We were chosen, either because of our expertise in the UK education system, or because of our experience in reforming qualifications in other systems around the world as diverse as. Singapore, Hong Kong, Australia and a number of countries across Europe.. -We have guided Pearson through what we judge to be a rigorous qualification development process that has included: +We have guided Pearson through what we judge to be a rigorous qualification development process that has included:. -extensive international comparability of subject content against the highest-performing jurisdictions in the world +extensive international comparability of subject content against the highest-performing +jurisdictions in the world benchmarking assessments against UK and overseas providers to ensure that they are at the right level of demand establishing External Subject Advisory Groups, drawing on independent subject-specific expertise to challenge and validate our qualifications -subjecting the final qualifications to scrutiny against the DfE content and Ofqual -accreditation criteria in advance of submission. +subjecting the final qualifications to scrutiny against the DfE content and Ofqual accreditation criteria in advance of submission. Importantly, we have worked to ensure that the content and learning is future oriented. The design has been guided by what is called an 'Efficacy Framework', meaning learner outcomes have been at the heart of this development throughout. @@ -1070,54 +1118,51 @@ All titles correct as at May 2014 # The need for transferable skills -In recent years, higher education institutions and employers have consistently flagged the. need for students to develop a range of transferable skills to enable them to respond with confidence to the demands of undergraduate study and the world of work.. +In recent years, higher education institutions and employers have consistently flagged the need for students to develop a range of transferable skills to enable them to respond with confidence to the demands of undergraduate study and the world of work.. -The Organisation for Economic Co-operation and Development (OECD) defines skills, or competencies, as 'the bundle of knowledge, attributes and capacities that can be learned and that enable individuals to successfully and consistently perform an activity or task and can be built upon and extended through learning.' [1] +The Organisation for Economic Co-operation and Development (OEcD) defines skills, or. competencies, as 'the bundle of knowledge, attributes and capacities that can be learned and. that enable individuals to successfully and consistently perform an activity or task and can be built upon and extended through learning.' [1]. -To support the design of our qualifications, the Pearson Research Team selected and. evaluated seven global 21st-century skills frameworks. Following on from this process, we identified the National Research Council's (NRc) framework as the most evidence-based and robust skills framework. We adapted the framework slightly to include the Program for. International Student Assessment (PISA) ICT Literacy and Collaborative Problem Solvinge (CPS) Skills. +To support the design of our qualifications, the Pearson Research Team selected and. evaluated seven global 21st-century skills frameworks. Following on from this process, we identified the National Research Council's (NRC) framework as the most evidence-based and robust skills framework. We adapted the framework slightly to include the Program for. International Student Assessment (PISA) ICT Literacy and Collaborative Problem Solvinge (CPS) Skills. The adapted National Research Council's framework of skills involves: [2] # Cognitive skills -Non-routine problem solving - expert thinking, metacognition, creativity. . Systems thinking - decision making and reasoning. : Critical thinking - definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. .Icr literacy - access, manage, integrate, evaluate, construct and communicate. [3] +Non-routine problem solving - expert thinking, metacognition, creativity. . Systems thinking - decision making and reasoning. . Critical thinking - definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. Ict literacy - access, manage, integrate, evaluate, construct and communicate. [3] # Interpersonal skills -.Communication - active listening, oral communication, written communication, assertive communication and non-verbal communication. - -Relationship-building skills - teamwork, trust, intercultural sensitivity, service. -orientation, self-presentation, social influence, conflict resolution and negotiation. - +. Communication - active listening, oral communication, written communication, assertive communication and non-verbal communication. +Relationship-building skills - teamwork, trust, intercultural sensitivity, service orientation, self-presentation, social influence, conflict resolution and negotiation. . Collaborative problem solving - establishing and maintaining shared understanding, taking appropriate action, establishing and maintaining team organisation. # Intrapersonal skills . Adaptability - ability and willingness to cope with the uncertain, handling work stress, adapting to different personalities, communication styles and cultures, and physical adaptability to various indoor and outdoor work environments. -Self-management and self-development - ability to work remotely in virtual teams, work autonomously, be self-motivating and self-monitoring, willing and able to acquire new information and skills related to work.. +. Self-management and self-development - ability to work remotely in virtual teams,. work autonomously, be self-motivating and self-monitoring, willing and able to acquire new information and skills related to work.. -Transferable skills enable young people to face the demands of further and higher education,. as well as the demands of the workplace, and are important in the teaching and learning of this qualification. We will provide teaching and learning materials, developed with stakeholders, to support our qualifications.. +Transferable skills enable young people to face the demands of further and higher education, as well as the demands of the workplace, and are important in the teaching and learning of this qualification. We will provide teaching and learning materials, developed with. stakeholders, to support our qualifications.. # Appendix 7: Level 3 Extended Project qualification # What is the Extended Project? -The Extended Project is a standalone qualification that can be taken alongside GCEs. It supports the development of independent learning skills and helps to prepare students for. their next step - whether that be higher education or employment. The qualification: +The Extended Project is a standalone qualification that can be taken alongside GCEs. It supports the development of independent learning skills and helps to prepare students for their next step - whether that be higher education or employment. The qualification: -is recognised by higher education for the skills it develops is worth half of an Advanced GCE qualification at grades A\*-E carries UCAS points for university entry. +is recognised by higher education for the skills it develops is worth half of an Advanced GCE qualification at grades A\*-E. carries UCAS points for university entry.. -The Extended Project encourages students to develop skills in the following areas: research, critical thinking, extended writing and project management. Students identify and agree a topic area of their choice for in-depth study (which may or may not be related to a GCE subject they are already studying), guided by their teacher.. +The Extended Project encourages students to develop skills in the following areas: research, critical thinking, extended writing and project management. Students identify and agree a topic area of their choice for in-depth study (which may or may not be related to a GCE subject they are already studying), guided by their teacher. Students can choose from one of four approaches to produce: . a dissertation (for example an investigation based on predominately secondary research) -: an investigation/field study (for example a practical experiment) -. a performance (for example in music, drama or sport) -an artefact (for example creating a sculpture in response to a client brief or solving an engineering problem). The qualification is coursework based and students are assessed on the skills of managing,. -planning and evaluating their project. Students will research their topic, develop skills to. -review and evaluate the information, and then present the final outcome of their project. +: an investigation/field study (for example a practical experiment). +. a performance (for example in music, drama or sport). +an artefact (for example creating a sculpture in response to a client brief or solving an engineering problem). -The Extended Project has 120 guided learning hours (GLH) consisting of a 40-GLH taught. element that includes teaching the technical skills (for example research skills) and an 80-GLH guided element that includes mentoring students through the project work.. The qualification is. $100\%$ internally assessed and externally moderated.. +The qualification is coursework based and students are assessed on the skills of managing,. planning and evaluating their project. Students will research their topic, develop skills to review and evaluate the information, and then present the final outcome of their project.. + +The Extended Project has 120 guided learning hours (GLH) consisting of a 40-GLH taught element that includes teaching the technical skills (for example research skills) and an. 80-GLH guided element that includes mentoring students through the project work.. The qualification is $100\%$ internally assessed and externally moderated.. # How to link the Extended Project with mathematics @@ -1126,43 +1171,42 @@ The Extended Project creates the opportunity to develop transferable skills for Through the Extended Project, students can develop skills that support their study of mathematics, including: conducting, organising and using research -independent reading in the subject area -planning, project management and time management -defining a hypothesis to be tested in investigations or developing a design brief collecting, handling and interpreting data and evidence -evaluating arguments and processes, including arguments in favour of alternative interpretations of data and evaluation of experimental methodology -critical thinking. +independent reading in the subject area planning, project management and time management +defining a hypothesis to be tested in investigations or developing a design brief collecting, handling and interpreting data and evidence evaluating arguments and processes, including arguments in favour of alternative interpretations of data and evaluation of experimental methodology critical thinking. In the context of the Extended Project, critical thinking refers to the ability to identify and develop arguments for a point of view or hypothesis, and to consider and respond to. alternative arguments. # Types of Extended Project related to mathematics -Students may produce a dissertation on any topic that can be researched and argued. In mathematics this might involve working on a substantial statistical project or a project that requires the use of mathematical modelling. +Students may produce a dissertation on any topic that can be researched and argued. +In mathematics this might involve working on a substantial statistical project or a project. +that requires the use of mathematical modelling.. Projects can give students the opportunity to develop mathematical skills that cannot be adequately assessed in examination questions. -Statistics - students can have the opportunity to plan a statistical enquiry project, use. different methods of sampling and data collection, use statistical software packages to process and investigate large quantities of data and review results to decide if more data is needed. -. Mathematical modelling - students can have the opportunity to choose modelling. assumptions, compare with experimental data to assess the appropriateness of their. assumptions and refine their modelling assumptions until they get the required accuracy of results. +Statistics - students can have the opportunity to plan a statistical enquiry project, use different methods of sampling and data collection, use statistical software packages to. process and investigate large quantities of data and review results to decide if more data is needed. +. Mathematical modelling - students can have the opportunity to choose modelling. assumptions, compare with experimental data to assess the appropriateness of their assumptions and refine their modelling assumptions until they get the required accuracy of results. # Using the Extended Project to support breadth and depth -In the Extended Project, students are assessed on the quality of the work they produce and. the skills they develop and demonstrate through completing this work. Students should. demonstrate that they have extended themselves in some significant way beyond what they. have been studying in mathematics. Students can demonstrate extension in one or more dimensions: +In the Extended Project, students are assessed on the quality of the work they produce and the skills they develop and demonstrate through completing this work. Students should demonstrate that they have extended themselves in some significant way beyond what they have been studying in mathematics. Students can demonstrate extension in one or more dimensions: -. deepening understanding - where a student explores a topic in greater depth than in. the specification content. This could be an in-depth exploration of one of the topics in the specification -. broadening skills - where a student learns a new skill. This might involve learning the skills in statistics or mathematical modelling mentioned above or learning a new. mathematical process and its practical uses widening perspectives - where the student's project spans different subjects.. Projects in a variety of subjects need to be supported by data and statistical analysis. Students studying mathematics with design and technology can carry out design projects. involving the need to model a situation mathematically in planning their design.. +deepening understanding - where a student explores a topic in greater depth than in. the specification content. This could be an in-depth exploration of one of the topics in the specification +broadening skills - where a student learns a new skill. This might involve learning the skills in statistics or mathematical modelling mentioned above or learning a new. mathematical process and its practical uses. widening perspectives - where the student's project spans different subjects.. Projects in a variety of subjects need to be supported by data and statistical analysis.. Students studying mathematics with design and technology can carry out design projects involving the need to model a situation mathematically in planning their design.. -A wide range of information to support the delivery and assessment of the Extended Project, including the specification, teacher guidance for all aspects, an editable scheme of work and exemplars for all four approaches, can be found on our website. +A wide range of information to support the delivery and assessment of the Extended Project,. including the specification, teacher guidance for all aspects, an editable scheme of work and exemplars for all four approaches, can be found on our website.. -# Appendix 8: Codes +Appendix 8: Codes **Extracted table cells:** -![Row 0 Col 0](images/img_54.png_rows/row_0/col_0.png) -![Row 0 Col 1](images/img_54.png_rows/row_0/col_1.png) -![Row 1 Col 0](images/img_54.png_rows/row_1/col_0.png) -![Row 1 Col 1](images/img_54.png_rows/row_1/col_1.png) -![Row 2 Col 0](images/img_54.png_rows/row_2/col_0.png) -![Row 2 Col 1](images/img_54.png_rows/row_2/col_1.png) -![Row 3 Col 0](images/img_54.png_rows/row_3/col_0.png) -![Row 3 Col 1](images/img_54.png_rows/row_3/col_1.png) +![Row 0 Col 0](images/img_48.png_rows/row_0/col_0.png) +![Row 0 Col 1](images/img_48.png_rows/row_0/col_1.png) +![Row 1 Col 0](images/img_48.png_rows/row_1/col_0.png) +![Row 1 Col 1](images/img_48.png_rows/row_1/col_1.png) +![Row 2 Col 0](images/img_48.png_rows/row_2/col_0.png) +![Row 2 Col 1](images/img_48.png_rows/row_2/col_1.png) +![Row 3 Col 0](images/img_48.png_rows/row_3/col_0.png) +![Row 3 Col 1](images/img_48.png_rows/row_3/col_1.png) \*https://www.gov.uk/government/publications/key-stage-4-qualifications-discount-codesand-point-scores # Edexcel, BTEC and LCCI qualifications @@ -1171,14 +1215,12 @@ Edexcel, BTEC and LCCI qualifications are awarded by Pearson, the UK's largest a # About Pearson -Pearson is the world's leading learning company, with 35,000 employees in more than. 70 countries working to help people of all ages to make measurable progress in their lives. through learning. We put the learner at the centre of everything we do, because wherever Iearning flourishes, so do people. Find out more about how we can help you and your learners at qualifications.pearson.com. - -References to third party material made in this specification are made in good faith. Pearson does not endorse, approve or accept responsibility for the content of materials, which may. be subject to change, or any opinions expressed therein. (Material may include textbooks,. journals, magazines and other publications and websites.). +Pearson is the world's leading learning company, with 35,000 employees in more than. 70 countries working to help people of all ages to make measurable progress in their lives through learning. We put the learner at the centre of everything we do, because wherever Iearning flourishes, so do people. Find out more about how we can help you and your. learners at qualifications.pearson.com -All information in this specification is correct at time of publication. +For information about Pearson Qualifications, including Pearson Edexcel, BTEC and LCCI qualifications visit qualifications.pearson.com -Original Origami Artwork designed by Beth Johnson and folded by Mark Bolitho Origami photography: Pearson Education Ltd/Naki Kouyioumtzis. +Edexcel and BTEC are registered trademarks of Pearson Education Limited -ISBN 978 1 446 95709 7 +Pearson Education Limited. Registered in England and Wales No. 872828 Registered Office: 80 Strand, London WC2R ORL. -All the material in this publication is copyright $\circleddash$ Pearson Education Limited 2020 \ No newline at end of file +VAT Reg No GB 278 537121 \ No newline at end of file diff --git a/input_output/output/images/img_1.png b/input_output/output/images/img_1.png index 536381b7677df6e381daf32bd3dae49bc1c9396f..90d4867c87fb0268aab3771768d0fd8e2d8c06f3 100644 Binary files a/input_output/output/images/img_1.png and b/input_output/output/images/img_1.png differ diff --git a/input_output/output/images/img_10.png b/input_output/output/images/img_10.png index 150dde1dae1774fc40b94f4db06fae4367b4eaed..904db45b09b678e12e1e5c01742c3ce245609a24 100644 Binary files a/input_output/output/images/img_10.png and b/input_output/output/images/img_10.png differ diff --git a/input_output/output/images/img_10.png_rows/row_0/col_0.png b/input_output/output/images/img_10.png_rows/row_0/col_0.png index fbd51d91192cd83eabacf3a9edcee6ae180b3d00..46425ac66a85a4eb68a507521f7b37cef95a63c9 100644 Binary files a/input_output/output/images/img_10.png_rows/row_0/col_0.png and b/input_output/output/images/img_10.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_10.png_rows/row_0/col_2.png b/input_output/output/images/img_10.png_rows/row_0/col_2.png new file mode 100644 index 0000000000000000000000000000000000000000..86e18ed0227d04cd8d64c4a8334208e6540333a7 Binary files /dev/null and b/input_output/output/images/img_10.png_rows/row_0/col_2.png differ diff --git a/input_output/output/images/img_11.png b/input_output/output/images/img_11.png index e9ffa759df80398192db92a27b41b6971cfd8274..b8accafe8b9c173cc70468b15aeb5268379008cc 100644 Binary files a/input_output/output/images/img_11.png and b/input_output/output/images/img_11.png differ diff --git a/input_output/output/images/img_11.png_rows/row_0/col_0.png b/input_output/output/images/img_11.png_rows/row_0/col_0.png index d34f77527c632ccb5ea0ed5660f479d764e49f97..29111b63ee0f6d021b056930a389847956fc73cd 100644 Binary files a/input_output/output/images/img_11.png_rows/row_0/col_0.png and b/input_output/output/images/img_11.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_11.png_rows/row_0/col_1.png b/input_output/output/images/img_11.png_rows/row_0/col_1.png index 57aba9dc40fd6f5476b035e2530695fa07c8c4ae..79d85141e9fe7d4d55b3b55a9e2c2b759b790751 100644 Binary files a/input_output/output/images/img_11.png_rows/row_0/col_1.png and b/input_output/output/images/img_11.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_11.png_rows/row_1/col_0.png b/input_output/output/images/img_11.png_rows/row_1/col_0.png index 58814d84ffefea09eb19cb36bb2f1dd71096497d..83f9ee5df4c22fb9ce585473064f19f916da257a 100644 Binary files a/input_output/output/images/img_11.png_rows/row_1/col_0.png and b/input_output/output/images/img_11.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_11.png_rows/row_1/col_1.png b/input_output/output/images/img_11.png_rows/row_1/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..6f7687a8c7bddec516c4359dac302f6e50507233 Binary files /dev/null and b/input_output/output/images/img_11.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_11.png_rows/row_2/col_0.png b/input_output/output/images/img_11.png_rows/row_2/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..2e27a47bd388d96a75d1a461c248e3ebe6580443 Binary files /dev/null and b/input_output/output/images/img_11.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_11.png_rows/row_3/col_0.png b/input_output/output/images/img_11.png_rows/row_3/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..3ce842223446f55b871219c8bddb0149c3bc0284 Binary files /dev/null and b/input_output/output/images/img_11.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_12.png b/input_output/output/images/img_12.png index 9970d23e9ac329f010eacce45684e773367971cb..24c2ab2ae785109788d7580c2e520eacc3827b0e 100644 Binary files a/input_output/output/images/img_12.png and b/input_output/output/images/img_12.png differ diff --git a/input_output/output/images/img_12.png_rows/row_0/col_0.png b/input_output/output/images/img_12.png_rows/row_0/col_0.png index 1965758d70d2cc2cef8f7521a3b1860b01bf4668..6bfd9fb00b9e26729a991ca474867b5b1ed31348 100644 Binary files a/input_output/output/images/img_12.png_rows/row_0/col_0.png and b/input_output/output/images/img_12.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_12.png_rows/row_0/col_1.png b/input_output/output/images/img_12.png_rows/row_0/col_1.png index 34952b369e5b2d1cf28f31b08911092ca278d27d..a4dc7d0b69eedb82da03a4a9eab40de88f7e1afe 100644 Binary files a/input_output/output/images/img_12.png_rows/row_0/col_1.png and b/input_output/output/images/img_12.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_12.png_rows/row_1/col_0.png b/input_output/output/images/img_12.png_rows/row_1/col_0.png index 8ecda41d195525e1526f1a620fd1162cf1914ad2..4d6f3f44809704e63e0efa11493400260ed4d199 100644 Binary files a/input_output/output/images/img_12.png_rows/row_1/col_0.png and b/input_output/output/images/img_12.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_12.png_rows/row_1/col_1.png b/input_output/output/images/img_12.png_rows/row_1/col_1.png index 56648484c180a4a12b511ed88c065c8184a9b8bd..080d12267a6bf9d871fec03c90d19e3cba49fe59 100644 Binary files a/input_output/output/images/img_12.png_rows/row_1/col_1.png and b/input_output/output/images/img_12.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_12.png_rows/row_2/col_0.png b/input_output/output/images/img_12.png_rows/row_2/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..346a4e142597b4af152bf50106cbabe3b34438f5 Binary files /dev/null and b/input_output/output/images/img_12.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_12.png_rows/row_2/col_1.png b/input_output/output/images/img_12.png_rows/row_2/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..a5b522e5d0d94002b018adf1383a28ec32a2d2b8 Binary files /dev/null and b/input_output/output/images/img_12.png_rows/row_2/col_1.png differ diff --git a/input_output/output/images/img_12.png_rows/row_3/col_0.png b/input_output/output/images/img_12.png_rows/row_3/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..14a96278a8ba4a79b5e169b7e90083c4cc0d4182 Binary files /dev/null and b/input_output/output/images/img_12.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_13.png b/input_output/output/images/img_13.png index 6ddea5c750a2073af579e8ccfcb41ec97137462d..0887eddf9034017d5532f7cf4a7a33165dee08a4 100644 Binary files a/input_output/output/images/img_13.png and b/input_output/output/images/img_13.png differ diff --git a/input_output/output/images/img_13.png_rows/row_0/col_0.png b/input_output/output/images/img_13.png_rows/row_0/col_0.png index 54e835fc7fda8b76658eb9732756c4f0a2e31fe1..29111b63ee0f6d021b056930a389847956fc73cd 100644 Binary files a/input_output/output/images/img_13.png_rows/row_0/col_0.png and b/input_output/output/images/img_13.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_13.png_rows/row_0/col_1.png b/input_output/output/images/img_13.png_rows/row_0/col_1.png index a800de22d2e8583dd9f72a5de826d64cc6934548..79d85141e9fe7d4d55b3b55a9e2c2b759b790751 100644 Binary files a/input_output/output/images/img_13.png_rows/row_0/col_1.png and b/input_output/output/images/img_13.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_13.png_rows/row_1/col_0.png b/input_output/output/images/img_13.png_rows/row_1/col_0.png index 257aac0e47a2b1b25ffe3f2827f158d48e39aa74..3a97e3b314b68181255678d9a1b60f18fe3a463a 100644 Binary files a/input_output/output/images/img_13.png_rows/row_1/col_0.png and b/input_output/output/images/img_13.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_13.png_rows/row_1/col_1.png b/input_output/output/images/img_13.png_rows/row_1/col_1.png index 18ef074956b7d70759cca25788f51195c90e898d..7fc2ff71076fe7bd8865b7629f967dd05d299886 100644 Binary files a/input_output/output/images/img_13.png_rows/row_1/col_1.png and b/input_output/output/images/img_13.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_13.png_rows/row_2/col_0.png b/input_output/output/images/img_13.png_rows/row_2/col_0.png index cade544edb83ae507d809e8285fc9b022825f119..b74065afd77e0a3d71f9e4e0adbf7b14b059535f 100644 Binary files a/input_output/output/images/img_13.png_rows/row_2/col_0.png and b/input_output/output/images/img_13.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_13.png_rows/row_3/col_0.png b/input_output/output/images/img_13.png_rows/row_3/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..329dbbaf8e00cff6e94773b8d95dc913d0d33e81 Binary files /dev/null and b/input_output/output/images/img_13.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_13.png_rows/row_3/col_1.png b/input_output/output/images/img_13.png_rows/row_3/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..b4fdc9f49c9593c0fa7d0d42c8732288fd9721b9 Binary files /dev/null and b/input_output/output/images/img_13.png_rows/row_3/col_1.png differ diff --git a/input_output/output/images/img_14.png b/input_output/output/images/img_14.png index 754d612eec7443e4c79b438f2da9f65ac55d3d9b..41edf6f9779f2cdd60f5446de3c726069856afbd 100644 Binary files a/input_output/output/images/img_14.png and b/input_output/output/images/img_14.png differ diff --git a/input_output/output/images/img_14.png_rows/row_0/col_0.png b/input_output/output/images/img_14.png_rows/row_0/col_0.png index d2bcb6341c7a0161b77dcac99d606eeec14b5659..6bfd9fb00b9e26729a991ca474867b5b1ed31348 100644 Binary files a/input_output/output/images/img_14.png_rows/row_0/col_0.png and b/input_output/output/images/img_14.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_14.png_rows/row_0/col_1.png b/input_output/output/images/img_14.png_rows/row_0/col_1.png index 04eec05e20370257adb0d9707a19c357fc141eea..d15787d603f8d7c8ece09980bdd7cd133579a008 100644 Binary files a/input_output/output/images/img_14.png_rows/row_0/col_1.png and b/input_output/output/images/img_14.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_14.png_rows/row_1/col_0.png b/input_output/output/images/img_14.png_rows/row_1/col_0.png index 4a03b25084a20ea7ad2c2843cec5aed01c3d5fa3..80c44b081f208ace2b39ca4c44960a8fec97c0d1 100644 Binary files a/input_output/output/images/img_14.png_rows/row_1/col_0.png and b/input_output/output/images/img_14.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_14.png_rows/row_1/col_1.png b/input_output/output/images/img_14.png_rows/row_1/col_1.png index 3aee171a64abcf92d743db31bb93b24e1d152da9..f90899682d56ab6de1204562c511f2bed6ef54c6 100644 Binary files a/input_output/output/images/img_14.png_rows/row_1/col_1.png and b/input_output/output/images/img_14.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_14.png_rows/row_2/col_0.png b/input_output/output/images/img_14.png_rows/row_2/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..39aac85ccde0bfefea57d323187be6030a1ded3b Binary files /dev/null and b/input_output/output/images/img_14.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_14.png_rows/row_3/col_0.png b/input_output/output/images/img_14.png_rows/row_3/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..cd328caf0afc4ade70cef0e500d0245cae3e6cb4 Binary files /dev/null and b/input_output/output/images/img_14.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_14.png_rows/row_4/col_0.png b/input_output/output/images/img_14.png_rows/row_4/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..f630a8676d29f12ad1f847d2eeb7fdcd386be10c Binary files /dev/null and b/input_output/output/images/img_14.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_14.png_rows/row_5/col_0.png b/input_output/output/images/img_14.png_rows/row_5/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..7484782121f2258fd3aa9e20dba6dc16991bf4e6 Binary files /dev/null and b/input_output/output/images/img_14.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_15.png b/input_output/output/images/img_15.png index 62265fabd71cebd0cbbc3a95a72223af0dae9d3a..ee6478fb112781392c02ac369de74c38d3539b9c 100644 Binary files a/input_output/output/images/img_15.png and b/input_output/output/images/img_15.png differ diff --git a/input_output/output/images/img_15.png_rows/row_0/col_0.png b/input_output/output/images/img_15.png_rows/row_0/col_0.png index 07e92d3d4896ce937f1e5782e9d06ab289bdbfaf..6bfd9fb00b9e26729a991ca474867b5b1ed31348 100644 Binary files a/input_output/output/images/img_15.png_rows/row_0/col_0.png and b/input_output/output/images/img_15.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_15.png_rows/row_0/col_1.png b/input_output/output/images/img_15.png_rows/row_0/col_1.png index 5c0ed14732d76945b6d87027872c44d1294a55e5..d15787d603f8d7c8ece09980bdd7cd133579a008 100644 Binary files a/input_output/output/images/img_15.png_rows/row_0/col_1.png and b/input_output/output/images/img_15.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_15.png_rows/row_1/col_0.png b/input_output/output/images/img_15.png_rows/row_1/col_0.png index 16746135d02d76403d7ec85c31278cf4bcebb97b..c0f2f27db9403e19e25e89ef2a780d65fbcfe5a5 100644 Binary files a/input_output/output/images/img_15.png_rows/row_1/col_0.png and b/input_output/output/images/img_15.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_15.png_rows/row_1/col_1.png b/input_output/output/images/img_15.png_rows/row_1/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..7ab72d7d2b020562d7b0241a4c285b480a7aa313 Binary files /dev/null and b/input_output/output/images/img_15.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_15.png_rows/row_2/col_0.png b/input_output/output/images/img_15.png_rows/row_2/col_0.png index 6e2ba1294e2f408ef63515082862e41e5da5df49..92f30c6f31f79e6a260ad3e4180d7a88da2fbf26 100644 Binary files a/input_output/output/images/img_15.png_rows/row_2/col_0.png and b/input_output/output/images/img_15.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_15.png_rows/row_3/col_0.png b/input_output/output/images/img_15.png_rows/row_3/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..cc6321f0efc1b9fc910c57b23d7756dcd74d5b6e Binary files /dev/null and b/input_output/output/images/img_15.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_15.png_rows/row_4/col_0.png b/input_output/output/images/img_15.png_rows/row_4/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..4998a8cc5af31b91a3d24d8967107fb5dff46d31 Binary files /dev/null and b/input_output/output/images/img_15.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_16.png b/input_output/output/images/img_16.png index c7f8f61c781d1af176af1a1d208c308730a77e63..a918c6bd927e6a25589aeeec4d992638a359a098 100644 Binary files a/input_output/output/images/img_16.png and b/input_output/output/images/img_16.png differ diff --git a/input_output/output/images/img_16.png_rows/row_0/col_0.png b/input_output/output/images/img_16.png_rows/row_0/col_0.png index 5c1f835fc680133dfd618ebe2fec0ef420c698cf..b9daca8820847089338fad518fa021684ef3c02f 100644 Binary files a/input_output/output/images/img_16.png_rows/row_0/col_0.png and b/input_output/output/images/img_16.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_16.png_rows/row_0/col_1.png b/input_output/output/images/img_16.png_rows/row_0/col_1.png index 0136828af8bd0f803fc1a91781b5888d2e3b9a24..a31db811665b03a128052dd3d04ebf30d0b610a1 100644 Binary files a/input_output/output/images/img_16.png_rows/row_0/col_1.png and b/input_output/output/images/img_16.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_16.png_rows/row_1/col_0.png b/input_output/output/images/img_16.png_rows/row_1/col_0.png index e7257506e4e6b7ab40352b12cd3477ae8452aec4..2c5def834cb0704f15610c33aebdc7e9fc63c388 100644 Binary files a/input_output/output/images/img_16.png_rows/row_1/col_0.png and b/input_output/output/images/img_16.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_16.png_rows/row_1/col_1.png b/input_output/output/images/img_16.png_rows/row_1/col_1.png index f23ea460fb2789f513ef6f257e10dc8dc5d3a923..0ce8553e4e30b7a9b1c42d420a2e4ae2ea9fc17e 100644 Binary files a/input_output/output/images/img_16.png_rows/row_1/col_1.png and b/input_output/output/images/img_16.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_16.png_rows/row_2/col_0.png b/input_output/output/images/img_16.png_rows/row_2/col_0.png index 8190f8f5b9d13764960ca6f16a66c479fcec7953..29940f2955616c45b0926cf69d708c7db75f95ab 100644 Binary files a/input_output/output/images/img_16.png_rows/row_2/col_0.png and b/input_output/output/images/img_16.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_16.png_rows/row_3/col_0.png b/input_output/output/images/img_16.png_rows/row_3/col_0.png index b9daf99a0617d8c7a3b671c6d8a5902ea88c0172..dbe36447eb852a19a4604bb029ec149509ce21dc 100644 Binary files a/input_output/output/images/img_16.png_rows/row_3/col_0.png and b/input_output/output/images/img_16.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_16.png_rows/row_4/col_0.png b/input_output/output/images/img_16.png_rows/row_4/col_0.png index 125c91f2551c117f499b9ccacf3d654c23a2eebe..3fc28acfab3b8acc9f1577f66a6894ca7573213e 100644 Binary files a/input_output/output/images/img_16.png_rows/row_4/col_0.png and b/input_output/output/images/img_16.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_16.png_rows/row_5/col_0.png b/input_output/output/images/img_16.png_rows/row_5/col_0.png index caea0b519da35482dede79485696e586ac481103..6c54a29cf5a6d99f2dd28d9b1871b32209261587 100644 Binary files a/input_output/output/images/img_16.png_rows/row_5/col_0.png and b/input_output/output/images/img_16.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_17.png b/input_output/output/images/img_17.png index 0e0c5a6a6deaa2548ad97f53e5747d11d8bc21cc..7d56d396bbb266ac8f2a73fa1fa1a780b71fb14e 100644 Binary files a/input_output/output/images/img_17.png and b/input_output/output/images/img_17.png differ diff --git a/input_output/output/images/img_17.png_rows/row_0/col_0.png b/input_output/output/images/img_17.png_rows/row_0/col_0.png index 75cf6af5bfc97f1e9cf7e78f77dc232929a2d822..6bfd9fb00b9e26729a991ca474867b5b1ed31348 100644 Binary files a/input_output/output/images/img_17.png_rows/row_0/col_0.png and b/input_output/output/images/img_17.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_17.png_rows/row_0/col_1.png b/input_output/output/images/img_17.png_rows/row_0/col_1.png index b6f32c9badda695415521c860d6d30465319772c..d15787d603f8d7c8ece09980bdd7cd133579a008 100644 Binary files a/input_output/output/images/img_17.png_rows/row_0/col_1.png and b/input_output/output/images/img_17.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_17.png_rows/row_1/col_0.png b/input_output/output/images/img_17.png_rows/row_1/col_0.png index 18badb90924b08fb59c67b0bf6f89001d9de1c5e..3979fe4f3a29aeaca7bfbae2d7573aa87c1f514d 100644 Binary files a/input_output/output/images/img_17.png_rows/row_1/col_0.png and b/input_output/output/images/img_17.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_17.png_rows/row_1/col_1.png b/input_output/output/images/img_17.png_rows/row_1/col_1.png index e7849c2219a018146ebe5fe38adc893260defea5..90d1126045d56fe6435876442269e4894c637959 100644 Binary files a/input_output/output/images/img_17.png_rows/row_1/col_1.png and b/input_output/output/images/img_17.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_17.png_rows/row_2/col_0.png b/input_output/output/images/img_17.png_rows/row_2/col_0.png index 3d1ad2fcc29169b5c70e6298750c0b1b83670c43..e2cce9a4b8380e5b6e2b35413d98906f5d89b191 100644 Binary files a/input_output/output/images/img_17.png_rows/row_2/col_0.png and b/input_output/output/images/img_17.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_17.png_rows/row_3/col_0.png b/input_output/output/images/img_17.png_rows/row_3/col_0.png index 0732583e28d02f28f3bb7cee11d3dae71fc31b15..9cb6c93b26a88c37b3980ffde1a8d9ce4ac0bc0b 100644 Binary files a/input_output/output/images/img_17.png_rows/row_3/col_0.png and b/input_output/output/images/img_17.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_17.png_rows/row_4/col_0.png b/input_output/output/images/img_17.png_rows/row_4/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..326133ffaa54d63845fc37ddf2ccd1c89095a222 Binary files /dev/null and b/input_output/output/images/img_17.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_17.png_rows/row_5/col_0.png b/input_output/output/images/img_17.png_rows/row_5/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..27dfdbac3e816fe9e08d9a712ed968724fb2dcba Binary files /dev/null and b/input_output/output/images/img_17.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_17.png_rows/row_6/col_0.png b/input_output/output/images/img_17.png_rows/row_6/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..28e7e016b2318fa650d252015347a1bbe6fed489 Binary files /dev/null and b/input_output/output/images/img_17.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_18.png b/input_output/output/images/img_18.png index 477396d69ba38c7ed708c1385864cafd922d1827..e638c544298ac4d12b186fe4fcd87a573a7fb2a3 100644 Binary files a/input_output/output/images/img_18.png and b/input_output/output/images/img_18.png differ diff --git a/input_output/output/images/img_18.png_rows/row_0/col_0.png b/input_output/output/images/img_18.png_rows/row_0/col_0.png index 26537b046972529528899d31bc4400f298bd22b0..54e835fc7fda8b76658eb9732756c4f0a2e31fe1 100644 Binary files a/input_output/output/images/img_18.png_rows/row_0/col_0.png and b/input_output/output/images/img_18.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_18.png_rows/row_0/col_1.png b/input_output/output/images/img_18.png_rows/row_0/col_1.png index dc7a83f30102732b630e03d6a2e61e6ce321b994..76a9b6e299ad8309093d8fafd3e48955c3c76989 100644 Binary files a/input_output/output/images/img_18.png_rows/row_0/col_1.png and b/input_output/output/images/img_18.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_18.png_rows/row_1/col_0.png b/input_output/output/images/img_18.png_rows/row_1/col_0.png index cfdd9efe4bf99a6a83411e9b94b98eedf626ac54..93e430290fa1c3fa732ff61fa134727a0ec5f4c1 100644 Binary files a/input_output/output/images/img_18.png_rows/row_1/col_0.png and b/input_output/output/images/img_18.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_18.png_rows/row_1/col_1.png b/input_output/output/images/img_18.png_rows/row_1/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..e3e97850a3bd91b9d947a56f81801dbfca59949f Binary files /dev/null and b/input_output/output/images/img_18.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_18.png_rows/row_2/col_0.png b/input_output/output/images/img_18.png_rows/row_2/col_0.png index 3b45bf1a45620aca8f27e8c7daf89ae919a38af4..4a9c0df17d82aae1555b8aba663c95500d0b2686 100644 Binary files a/input_output/output/images/img_18.png_rows/row_2/col_0.png and b/input_output/output/images/img_18.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_18.png_rows/row_2/col_1.png b/input_output/output/images/img_18.png_rows/row_2/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..1cbaf67b454a7bf38c23b01f55d8ad5f60ed98d9 Binary files /dev/null and b/input_output/output/images/img_18.png_rows/row_2/col_1.png differ diff --git a/input_output/output/images/img_19.png b/input_output/output/images/img_19.png index 8129a372a50354bbb0c31cfd35e60b0d5c5442f2..baf81e5f92e85f368e614efb27a6bb87c39c0530 100644 Binary files a/input_output/output/images/img_19.png and b/input_output/output/images/img_19.png differ diff --git a/input_output/output/images/img_19.png_rows/row_0/col_0.png b/input_output/output/images/img_19.png_rows/row_0/col_0.png index 7f852785ff31389c4c143d9b38c33c92d584f17b..54e835fc7fda8b76658eb9732756c4f0a2e31fe1 100644 Binary files a/input_output/output/images/img_19.png_rows/row_0/col_0.png and b/input_output/output/images/img_19.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_19.png_rows/row_0/col_1.png b/input_output/output/images/img_19.png_rows/row_0/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..76a9b6e299ad8309093d8fafd3e48955c3c76989 Binary files /dev/null and b/input_output/output/images/img_19.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_19.png_rows/row_1/col_0.png b/input_output/output/images/img_19.png_rows/row_1/col_0.png index 5b9b0ea20a6fa3b878f3450634eab82d445f190d..6995e9eda17f7344e635d8fa6a665553967e67bf 100644 Binary files a/input_output/output/images/img_19.png_rows/row_1/col_0.png and b/input_output/output/images/img_19.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_19.png_rows/row_1/col_1.png b/input_output/output/images/img_19.png_rows/row_1/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..264c722443fdebccf8410778c4ffe5020452b78b Binary files /dev/null and b/input_output/output/images/img_19.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_19.png_rows/row_2/col_0.png b/input_output/output/images/img_19.png_rows/row_2/col_0.png index d7e08e40ddc5463301f55f3bf81f819276fb3e0a..55066176cd62aba3f80f7dda6ba0cf51b692dd84 100644 Binary files a/input_output/output/images/img_19.png_rows/row_2/col_0.png and b/input_output/output/images/img_19.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_19.png_rows/row_3/col_0.png b/input_output/output/images/img_19.png_rows/row_3/col_0.png index ac389b4f121b3ea01fcf29ad14cddf6d615f180b..bff0c33cb40da1ba20484da5fcd8b25dd70d7573 100644 Binary files a/input_output/output/images/img_19.png_rows/row_3/col_0.png and b/input_output/output/images/img_19.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_2.png b/input_output/output/images/img_2.png index 11a5446cb0892b231730b8a6d9d262511f789dfc..b642221166b331426c9ab5187e0f4053f9be4038 100644 Binary files a/input_output/output/images/img_2.png and b/input_output/output/images/img_2.png differ diff --git a/input_output/output/images/img_2.png_rows/row_0/col_0.png b/input_output/output/images/img_2.png_rows/row_0/col_0.png index 0a8b2f747f733af7f8702b189e4256b9d9d6d29c..1039f4ed0250e27057595a711eb0499f78355c23 100644 Binary files a/input_output/output/images/img_2.png_rows/row_0/col_0.png and b/input_output/output/images/img_2.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_1/col_0.png b/input_output/output/images/img_2.png_rows/row_1/col_0.png index 1293595fea383b830456018b799f2362ecb14f98..d067afab86ecd001390b6a3c6c441062582f9bb8 100644 Binary files a/input_output/output/images/img_2.png_rows/row_1/col_0.png and b/input_output/output/images/img_2.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_10/col_0.png b/input_output/output/images/img_2.png_rows/row_10/col_0.png index daff3685146a071fa44992c5313fa84218e7faf7..21cdf7a33b8b53fda5dfcf2e3395297eda96fdc2 100644 Binary files a/input_output/output/images/img_2.png_rows/row_10/col_0.png and b/input_output/output/images/img_2.png_rows/row_10/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_11/col_0.png b/input_output/output/images/img_2.png_rows/row_11/col_0.png index 5c84249069c0d2ab4573f2eff8c76ce7e6144725..971ecfe9ccb601ec18d71d677069ab58da54ccac 100644 Binary files a/input_output/output/images/img_2.png_rows/row_11/col_0.png and b/input_output/output/images/img_2.png_rows/row_11/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_12/col_0.png b/input_output/output/images/img_2.png_rows/row_12/col_0.png index 34fa589184d469ae63c70d80d0dc720f8f9947ae..4f8f235aab766c24a72f29069b75878385a0ed11 100644 Binary files a/input_output/output/images/img_2.png_rows/row_12/col_0.png and b/input_output/output/images/img_2.png_rows/row_12/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_13/col_0.png b/input_output/output/images/img_2.png_rows/row_13/col_0.png index 270d2b28bd4a140c8a5d718469ddc69ba04ee26a..a7c1f5ca26ea1d729aaa8b67222f0935a76d2379 100644 Binary files a/input_output/output/images/img_2.png_rows/row_13/col_0.png and b/input_output/output/images/img_2.png_rows/row_13/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_14/col_0.png b/input_output/output/images/img_2.png_rows/row_14/col_0.png index 4e94ce3b18fddd547913980d8d9a435dbb153533..098e78b9107812184056cedd4c9713eda561ea35 100644 Binary files a/input_output/output/images/img_2.png_rows/row_14/col_0.png and b/input_output/output/images/img_2.png_rows/row_14/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_15/col_0.png b/input_output/output/images/img_2.png_rows/row_15/col_0.png index 6a2401a10bcb745d42e7f06ddf70a607bc11baa7..0193ca9f7a88f135273507cb717b5dc60cf09ad5 100644 Binary files a/input_output/output/images/img_2.png_rows/row_15/col_0.png and b/input_output/output/images/img_2.png_rows/row_15/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_16/col_0.png b/input_output/output/images/img_2.png_rows/row_16/col_0.png index c2d926ac5eb884c9f8457a6e029f5ac90c6730d5..a05dd64bb23ea75eeceb8172cd65045e7ce7e64a 100644 Binary files a/input_output/output/images/img_2.png_rows/row_16/col_0.png and b/input_output/output/images/img_2.png_rows/row_16/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_2/col_0.png b/input_output/output/images/img_2.png_rows/row_2/col_0.png index f99a79743563a7456c003cabf7459700cfe80940..95114d94cd47c761e82b50c09375a66711651526 100644 Binary files a/input_output/output/images/img_2.png_rows/row_2/col_0.png and b/input_output/output/images/img_2.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_3/col_0.png b/input_output/output/images/img_2.png_rows/row_3/col_0.png index 7721b1516c355a1b5597ec1ff1e8651fea26ffa0..bfec336039f7ecd2f209e0f799abbf05d1dd7cc1 100644 Binary files a/input_output/output/images/img_2.png_rows/row_3/col_0.png and b/input_output/output/images/img_2.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_4/col_0.png b/input_output/output/images/img_2.png_rows/row_4/col_0.png index fed49ebd41e2a08b0eaeb93a1de83125a0d6def4..b46bb41e25f9630edf866be4de4d8f670dee9daf 100644 Binary files a/input_output/output/images/img_2.png_rows/row_4/col_0.png and b/input_output/output/images/img_2.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_5/col_0.png b/input_output/output/images/img_2.png_rows/row_5/col_0.png index b5097c37b91abe7266ae22f10cc1f22671948115..ed58ecfdb8189fcae104d5683a95f3dbe295f331 100644 Binary files a/input_output/output/images/img_2.png_rows/row_5/col_0.png and b/input_output/output/images/img_2.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_6/col_0.png b/input_output/output/images/img_2.png_rows/row_6/col_0.png index 5bc9541f2afb5e83f7ed8d3f2df53fd9f69c5d2c..1a75b4c71b67a990f15462def79b927c8201ec48 100644 Binary files a/input_output/output/images/img_2.png_rows/row_6/col_0.png and b/input_output/output/images/img_2.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_7/col_0.png b/input_output/output/images/img_2.png_rows/row_7/col_0.png index dd40b65f9105ffa4ee04ea8fa9320d26b8502535..1b7418762e78ad80e436ffd15d823c39e8fff3bb 100644 Binary files a/input_output/output/images/img_2.png_rows/row_7/col_0.png and b/input_output/output/images/img_2.png_rows/row_7/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_8/col_0.png b/input_output/output/images/img_2.png_rows/row_8/col_0.png index 10803e210800134dfa0119e02e6b5e9c632bbac0..8656806acbb599f78c5448fb3c1c08cdf5e5f437 100644 Binary files a/input_output/output/images/img_2.png_rows/row_8/col_0.png and b/input_output/output/images/img_2.png_rows/row_8/col_0.png differ diff --git a/input_output/output/images/img_2.png_rows/row_9/col_0.png b/input_output/output/images/img_2.png_rows/row_9/col_0.png index a5eb2887900254509c7e49c47ae04182f14b8452..d2e07a486b7eccdb15542af5f2ba6e7bfdc23146 100644 Binary files a/input_output/output/images/img_2.png_rows/row_9/col_0.png and b/input_output/output/images/img_2.png_rows/row_9/col_0.png differ diff --git a/input_output/output/images/img_20.png b/input_output/output/images/img_20.png index cdff005c1726624012e65ef41a73583310c168b3..c9a5848c632057cd3a5f8334dbe1a7b8822b4a89 100644 Binary files a/input_output/output/images/img_20.png and b/input_output/output/images/img_20.png differ diff --git a/input_output/output/images/img_20.png_rows/row_0/col_0.png b/input_output/output/images/img_20.png_rows/row_0/col_0.png index 1775bde2170a565216b62b821cbe612ff8a5a9ab..29111b63ee0f6d021b056930a389847956fc73cd 100644 Binary files a/input_output/output/images/img_20.png_rows/row_0/col_0.png and b/input_output/output/images/img_20.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_20.png_rows/row_0/col_1.png b/input_output/output/images/img_20.png_rows/row_0/col_1.png index 682f7963b4e84196b7f449ece97f228b22e893cc..79d85141e9fe7d4d55b3b55a9e2c2b759b790751 100644 Binary files a/input_output/output/images/img_20.png_rows/row_0/col_1.png and b/input_output/output/images/img_20.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_20.png_rows/row_1/col_0.png b/input_output/output/images/img_20.png_rows/row_1/col_0.png index 4ca08524c8c80015e252be243d08d8c2dddf43e8..787358ffad4f827972b0ddf63f15498cda7b08fd 100644 Binary files a/input_output/output/images/img_20.png_rows/row_1/col_0.png and b/input_output/output/images/img_20.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_20.png_rows/row_1/col_1.png b/input_output/output/images/img_20.png_rows/row_1/col_1.png index ab3c69b0c0524d0a04c6f9cce3391400b41a0ca2..5668cad699bfd2abd8e694cd851ea68ecabffbef 100644 Binary files a/input_output/output/images/img_20.png_rows/row_1/col_1.png and b/input_output/output/images/img_20.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_20.png_rows/row_2/col_0.png b/input_output/output/images/img_20.png_rows/row_2/col_0.png index 25edc6ae617976a3b147b957f073f54fe3523f7e..bf53a6352d2c3ea70c323d2b2588bc9680596b45 100644 Binary files a/input_output/output/images/img_20.png_rows/row_2/col_0.png and b/input_output/output/images/img_20.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_20.png_rows/row_3/col_0.png b/input_output/output/images/img_20.png_rows/row_3/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..3283ce0eb7c93b4cbf7a429ab8f69a313ee34fc7 Binary files /dev/null and b/input_output/output/images/img_20.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_20.png_rows/row_4/col_0.png b/input_output/output/images/img_20.png_rows/row_4/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..a5a11583a97a323b3112dcab117160f17f94ccda Binary files /dev/null and b/input_output/output/images/img_20.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_20.png_rows/row_4/col_1.png b/input_output/output/images/img_20.png_rows/row_4/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..d325cc0260ab60c18487b78353f5948814e14abf Binary files /dev/null and b/input_output/output/images/img_20.png_rows/row_4/col_1.png differ diff --git a/input_output/output/images/img_20.png_rows/row_5/col_0.png b/input_output/output/images/img_20.png_rows/row_5/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..85ce814728747be4e139d6c64218b749cee12965 Binary files /dev/null and b/input_output/output/images/img_20.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_21.png b/input_output/output/images/img_21.png index be5654992ea9eeb595a0b518041592ed94d8c1d8..e3b8d9bed2d2f48a67feaad252ae2f650e4c445b 100644 Binary files a/input_output/output/images/img_21.png and b/input_output/output/images/img_21.png differ diff --git a/input_output/output/images/img_21.png_rows/row_0/col_0.png b/input_output/output/images/img_21.png_rows/row_0/col_0.png index 54e835fc7fda8b76658eb9732756c4f0a2e31fe1..29111b63ee0f6d021b056930a389847956fc73cd 100644 Binary files a/input_output/output/images/img_21.png_rows/row_0/col_0.png and b/input_output/output/images/img_21.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_21.png_rows/row_0/col_1.png b/input_output/output/images/img_21.png_rows/row_0/col_1.png index a800de22d2e8583dd9f72a5de826d64cc6934548..a3de11222ca154c290f87ae16114ca8298172240 100644 Binary files a/input_output/output/images/img_21.png_rows/row_0/col_1.png and b/input_output/output/images/img_21.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_21.png_rows/row_1/col_0.png b/input_output/output/images/img_21.png_rows/row_1/col_0.png index 6995e9eda17f7344e635d8fa6a665553967e67bf..58bce7686a4b596643672e31663c6ddd62cbc857 100644 Binary files a/input_output/output/images/img_21.png_rows/row_1/col_0.png and b/input_output/output/images/img_21.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_21.png_rows/row_1/col_1.png b/input_output/output/images/img_21.png_rows/row_1/col_1.png index cb83b1971ce1cd6af17c8ebf6077966235aaf6d4..b4913099c2aec5093aa7df51670fe000746e5d7b 100644 Binary files a/input_output/output/images/img_21.png_rows/row_1/col_1.png and b/input_output/output/images/img_21.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_21.png_rows/row_2/col_0.png b/input_output/output/images/img_21.png_rows/row_2/col_0.png index 10356ac1f58485a3c71facfd31aeab0abc7d3d02..43518a84134ac5a9139ea53b9100cae506efabb5 100644 Binary files a/input_output/output/images/img_21.png_rows/row_2/col_0.png and b/input_output/output/images/img_21.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_21.png_rows/row_3/col_0.png b/input_output/output/images/img_21.png_rows/row_3/col_0.png index 0159a2d1a73906347ce9906b8c218736134e8f54..b05c5eefc0d0d94edaf9abc2ecab81bc14e15348 100644 Binary files a/input_output/output/images/img_21.png_rows/row_3/col_0.png and b/input_output/output/images/img_21.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_21.png_rows/row_4/col_0.png b/input_output/output/images/img_21.png_rows/row_4/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..f5edf96266c5c4ed34f85c54df28f02b6c0bb3c4 Binary files /dev/null and b/input_output/output/images/img_21.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_22.png b/input_output/output/images/img_22.png index 3006672c401f342a74b9094002f0cb90deae2a65..6364e79f1317f2ec934cf4af094c5687159cfcc2 100644 Binary files a/input_output/output/images/img_22.png and b/input_output/output/images/img_22.png differ diff --git a/input_output/output/images/img_22.png_rows/row_0/col_0.png b/input_output/output/images/img_22.png_rows/row_0/col_0.png index 50c6e51ed7dd096db7325aff304f4f6ffd86107d..6bfd9fb00b9e26729a991ca474867b5b1ed31348 100644 Binary files a/input_output/output/images/img_22.png_rows/row_0/col_0.png and b/input_output/output/images/img_22.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_22.png_rows/row_0/col_1.png b/input_output/output/images/img_22.png_rows/row_0/col_1.png index 1477e2ba7cb40c82f06451d6493eb2b81bbe7b95..d15787d603f8d7c8ece09980bdd7cd133579a008 100644 Binary files a/input_output/output/images/img_22.png_rows/row_0/col_1.png and b/input_output/output/images/img_22.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_22.png_rows/row_1/col_0.png b/input_output/output/images/img_22.png_rows/row_1/col_0.png index 08f9ab77eab81088823b924f88dc297cfb5b2d82..9fa405cc0d7cdfc3eefb32272c3dd8bc8de656be 100644 Binary files a/input_output/output/images/img_22.png_rows/row_1/col_0.png and b/input_output/output/images/img_22.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_22.png_rows/row_1/col_1.png b/input_output/output/images/img_22.png_rows/row_1/col_1.png index 0cbc6f9597361c588b12e3ec5b4756b6ecafbdf6..6915092ea3a616b5bc4f265ee25018ff1303782f 100644 Binary files a/input_output/output/images/img_22.png_rows/row_1/col_1.png and b/input_output/output/images/img_22.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_22.png_rows/row_2/col_0.png b/input_output/output/images/img_22.png_rows/row_2/col_0.png index 3770dde72e1879a179f1f55a0b9ae8f78198281a..c2b4d959a0b2ea070d28c8da8d45ed349f315ced 100644 Binary files a/input_output/output/images/img_22.png_rows/row_2/col_0.png and b/input_output/output/images/img_22.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_22.png_rows/row_3/col_0.png b/input_output/output/images/img_22.png_rows/row_3/col_0.png index 2fc24d45b98c5135cfda0594a883c7abac23f046..f83a0463e293d6b1aa62b2083b74fa44931fb807 100644 Binary files a/input_output/output/images/img_22.png_rows/row_3/col_0.png and b/input_output/output/images/img_22.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_22.png_rows/row_3/col_1.png b/input_output/output/images/img_22.png_rows/row_3/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..cc3097bef191f6af23236f1cc26e802ffc398f7e Binary files /dev/null and b/input_output/output/images/img_22.png_rows/row_3/col_1.png differ diff --git a/input_output/output/images/img_22.png_rows/row_4/col_0.png b/input_output/output/images/img_22.png_rows/row_4/col_0.png index f1cf0db022ba7108229ce76e337bfd434c5f44f3..943f4da9f65785aac07ca44caff947a47fed7845 100644 Binary files a/input_output/output/images/img_22.png_rows/row_4/col_0.png and b/input_output/output/images/img_22.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_22.png_rows/row_5/col_0.png b/input_output/output/images/img_22.png_rows/row_5/col_0.png index bbfcc51c21e3daa2e2a994ab8b966f59488062c7..0796466235fd5e73b39d8a77a5fbd55327deed7e 100644 Binary files a/input_output/output/images/img_22.png_rows/row_5/col_0.png and b/input_output/output/images/img_22.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_23.png b/input_output/output/images/img_23.png index 2baa70803cef6e98985736e198a56d44a40626ab..82701c52c7c5f810eda95d1a2cffa359e3cf65e2 100644 Binary files a/input_output/output/images/img_23.png and b/input_output/output/images/img_23.png differ diff --git a/input_output/output/images/img_23.png_rows/row_0/col_0.png b/input_output/output/images/img_23.png_rows/row_0/col_0.png index 54e835fc7fda8b76658eb9732756c4f0a2e31fe1..6bfd9fb00b9e26729a991ca474867b5b1ed31348 100644 Binary files a/input_output/output/images/img_23.png_rows/row_0/col_0.png and b/input_output/output/images/img_23.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_23.png_rows/row_0/col_1.png b/input_output/output/images/img_23.png_rows/row_0/col_1.png index c2f19c57d8268d7a3937fe6edf0ebc0b84f694ff..d15787d603f8d7c8ece09980bdd7cd133579a008 100644 Binary files a/input_output/output/images/img_23.png_rows/row_0/col_1.png and b/input_output/output/images/img_23.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_23.png_rows/row_1/col_0.png b/input_output/output/images/img_23.png_rows/row_1/col_0.png index 1a54e55461bd2545391c43f8b3735aa2c1be8832..23826108a383a56e6018d30bdb9f76193a72c547 100644 Binary files a/input_output/output/images/img_23.png_rows/row_1/col_0.png and b/input_output/output/images/img_23.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_23.png_rows/row_1/col_1.png b/input_output/output/images/img_23.png_rows/row_1/col_1.png index df85e02c599bc4c53b15a07172375f46c24032f5..642c5fd3cfa051868ef69ad50da4bd060eb44a7e 100644 Binary files a/input_output/output/images/img_23.png_rows/row_1/col_1.png and b/input_output/output/images/img_23.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_23.png_rows/row_2/col_0.png b/input_output/output/images/img_23.png_rows/row_2/col_0.png index a80f09fd932d3373e8461e620c23a790ef2c8112..118606e9d68c8518f358f91abed0449fd8caea78 100644 Binary files a/input_output/output/images/img_23.png_rows/row_2/col_0.png and b/input_output/output/images/img_23.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_23.png_rows/row_3/col_0.png b/input_output/output/images/img_23.png_rows/row_3/col_0.png index 27e00f6d1e649901b041aedc3bfee9a1c125ff72..50480b256aa1f6e4260ec50ef537072fcece36ce 100644 Binary files a/input_output/output/images/img_23.png_rows/row_3/col_0.png and b/input_output/output/images/img_23.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_23.png_rows/row_3/col_1.png b/input_output/output/images/img_23.png_rows/row_3/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..d70088be33cb038af88e40a8f44a7c3f3d689587 Binary files /dev/null and b/input_output/output/images/img_23.png_rows/row_3/col_1.png differ diff --git a/input_output/output/images/img_23.png_rows/row_4/col_0.png b/input_output/output/images/img_23.png_rows/row_4/col_0.png index 48b1b79cd6b31320ee8b8f542632fbe75f8ac691..c8e2a176f51ee0d6375915e8cfa48ea7c5cc9b87 100644 Binary files a/input_output/output/images/img_23.png_rows/row_4/col_0.png and b/input_output/output/images/img_23.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_23.png_rows/row_5/col_0.png b/input_output/output/images/img_23.png_rows/row_5/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..f8672c39c7df7f68237ee29c6ea8f42914447d04 Binary files /dev/null and b/input_output/output/images/img_23.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_23.png_rows/row_6/col_0.png b/input_output/output/images/img_23.png_rows/row_6/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..7543ff47c90acf08968082db7041f088c1826ac9 Binary files /dev/null and b/input_output/output/images/img_23.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_24.png b/input_output/output/images/img_24.png index f21e9711639a5ae0acd518eb9ff3b0ad95e18ebf..9f23603366aee2c0d3e8c09dbd3071c75f772144 100644 Binary files a/input_output/output/images/img_24.png and b/input_output/output/images/img_24.png differ diff --git a/input_output/output/images/img_24.png_rows/row_0/col_1.png b/input_output/output/images/img_24.png_rows/row_0/col_1.png index 2cccb9e0fe5934acb673aba90920f2fbe2710d9a..968357d8c0e76a2a5b80c3d8d56c39149ef950fe 100644 Binary files a/input_output/output/images/img_24.png_rows/row_0/col_1.png and b/input_output/output/images/img_24.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_24.png_rows/row_1/col_0.png b/input_output/output/images/img_24.png_rows/row_1/col_0.png index 90557039a5dfea53a0d22ec5f97ae23c4a1fa84f..3e79247c6a56efccef3db668d1e9a7acbc2c6673 100644 Binary files a/input_output/output/images/img_24.png_rows/row_1/col_0.png and b/input_output/output/images/img_24.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_24.png_rows/row_1/col_1.png b/input_output/output/images/img_24.png_rows/row_1/col_1.png index b6d323cae60d093d7782adcc31c18d356344e365..16199bf154dfbf2408a88bfd1594ad4f7df19457 100644 Binary files a/input_output/output/images/img_24.png_rows/row_1/col_1.png and b/input_output/output/images/img_24.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_25.png b/input_output/output/images/img_25.png index a90ac42ae9986fb54db8c0dac074c9a2c5af3573..31ab0a4bfb4505a5f02293e3e971ac995536cd8b 100644 Binary files a/input_output/output/images/img_25.png and b/input_output/output/images/img_25.png differ diff --git a/input_output/output/images/img_25.png_rows/row_0/col_0.png b/input_output/output/images/img_25.png_rows/row_0/col_0.png index 59185c8c6eaa964d669fe104752a3746c6c95cde..1f55bd7b4eb44812306a48660b5c3c662de19436 100644 Binary files a/input_output/output/images/img_25.png_rows/row_0/col_0.png and b/input_output/output/images/img_25.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_25.png_rows/row_0/col_1.png b/input_output/output/images/img_25.png_rows/row_0/col_1.png index 7de0f485e84753f996afefecdf2ac518811ec0cd..fe739b1c0eb9dd3dc39e263e4a2517eefdca6f76 100644 Binary files a/input_output/output/images/img_25.png_rows/row_0/col_1.png and b/input_output/output/images/img_25.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_25.png_rows/row_1/col_0.png b/input_output/output/images/img_25.png_rows/row_1/col_0.png index 2d5890555351629532c2812d263cbb6ed661813b..6259842bb8ee396582f62c0df8ebcd59541d2b0f 100644 Binary files a/input_output/output/images/img_25.png_rows/row_1/col_0.png and b/input_output/output/images/img_25.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_25.png_rows/row_1/col_1.png b/input_output/output/images/img_25.png_rows/row_1/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..c92188df1441c99ae01325411f4d9ef3e68b52be Binary files /dev/null and b/input_output/output/images/img_25.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_25.png_rows/row_2/col_0.png b/input_output/output/images/img_25.png_rows/row_2/col_0.png index 84ba6a923104f1cc50677b2808886f6738927db1..00200759915b79b70971b4a9c290d4b9cb47ee88 100644 Binary files a/input_output/output/images/img_25.png_rows/row_2/col_0.png and b/input_output/output/images/img_25.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_25.png_rows/row_2/col_1.png b/input_output/output/images/img_25.png_rows/row_2/col_1.png index 0e8a1180045b6e0415fdbb5b92d92af4826e0c3e..73b2701fa781842616e354c88e583e16e29f9cb3 100644 Binary files a/input_output/output/images/img_25.png_rows/row_2/col_1.png and b/input_output/output/images/img_25.png_rows/row_2/col_1.png differ diff --git a/input_output/output/images/img_26.png b/input_output/output/images/img_26.png index 28db5fa7ebb46819d5129d7afd1eac8f398c862f..6cd17c936586cec8ab7c968947867e67a30883b9 100644 Binary files a/input_output/output/images/img_26.png and b/input_output/output/images/img_26.png differ diff --git a/input_output/output/images/img_26.png_rows/row_0/col_0.png b/input_output/output/images/img_26.png_rows/row_0/col_0.png index 54e835fc7fda8b76658eb9732756c4f0a2e31fe1..d2b2cac79222ef7f9a18319b4aa2d3f0acbe656c 100644 Binary files a/input_output/output/images/img_26.png_rows/row_0/col_0.png and b/input_output/output/images/img_26.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_26.png_rows/row_0/col_1.png b/input_output/output/images/img_26.png_rows/row_0/col_1.png index 45ae4a2e3228dfc8fdc2114137951e2065a42084..121527501a77ee0f6b6fab838ab1da2e3b223e21 100644 Binary files a/input_output/output/images/img_26.png_rows/row_0/col_1.png and b/input_output/output/images/img_26.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_26.png_rows/row_1/col_0.png b/input_output/output/images/img_26.png_rows/row_1/col_0.png index dd31a8c27a82da3de67c83c61149a689513c58e1..5e868b19e9dd30b3e6b59c7f688b16e2c1e90abf 100644 Binary files a/input_output/output/images/img_26.png_rows/row_1/col_0.png and b/input_output/output/images/img_26.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_27.png b/input_output/output/images/img_27.png index 9c631015fa075ded8a2d91eebb3fb6afd1c69836..4c9628372c540d05758c0e8f3e962a3f06b0c918 100644 Binary files a/input_output/output/images/img_27.png and b/input_output/output/images/img_27.png differ diff --git a/input_output/output/images/img_27.png_rows/row_0/col_0.png b/input_output/output/images/img_27.png_rows/row_0/col_0.png index 542e040e2ab5230775c46b07faaf56a875c2c71d..a755dcc4110abb6c79a03b958c763f28dc598430 100644 Binary files a/input_output/output/images/img_27.png_rows/row_0/col_0.png and b/input_output/output/images/img_27.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_27.png_rows/row_0/col_1.png b/input_output/output/images/img_27.png_rows/row_0/col_1.png index bae682b04e93a5bf3289a55e64227d252b3f3da2..f3742a0847f298f77d940c362d13a67a8dd4a20c 100644 Binary files a/input_output/output/images/img_27.png_rows/row_0/col_1.png and b/input_output/output/images/img_27.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_27.png_rows/row_1/col_0.png b/input_output/output/images/img_27.png_rows/row_1/col_0.png index 31fe1e1b68010cd2c40d910196866d8632d0c781..bc3afad2a2602f5eee30fa19d03559d67d620a20 100644 Binary files a/input_output/output/images/img_27.png_rows/row_1/col_0.png and b/input_output/output/images/img_27.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_27.png_rows/row_1/col_1.png b/input_output/output/images/img_27.png_rows/row_1/col_1.png index 564af1f7ec0b600300da698270ca7cc5a3891598..96b95916513e4df151b73dc861e9b27db5e023b8 100644 Binary files a/input_output/output/images/img_27.png_rows/row_1/col_1.png and b/input_output/output/images/img_27.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_27.png_rows/row_2/col_0.png b/input_output/output/images/img_27.png_rows/row_2/col_0.png index 4a388a3a0663a27fffe8086e97dad12b23f2152e..2aa277bf7470c734806615c6db58b6ea4db62cba 100644 Binary files a/input_output/output/images/img_27.png_rows/row_2/col_0.png and b/input_output/output/images/img_27.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_27.png_rows/row_2/col_1.png b/input_output/output/images/img_27.png_rows/row_2/col_1.png index 1f77be6f3aa1f5c738808cd3031ab759c6d986ff..bc5297228fe48a14e30ba8498e03b9d9ab276bed 100644 Binary files a/input_output/output/images/img_27.png_rows/row_2/col_1.png and b/input_output/output/images/img_27.png_rows/row_2/col_1.png differ diff --git a/input_output/output/images/img_27.png_rows/row_3/col_0.png b/input_output/output/images/img_27.png_rows/row_3/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..9e085d5b43461e1c7bf6c0c7390cf3da7dec8541 Binary files /dev/null and b/input_output/output/images/img_27.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_28.png b/input_output/output/images/img_28.png index 6af117b59207c1ed6f5f47828e097dcf42aed539..383ff32765737a6085295c4cb2b75f8bb8bd8bbb 100644 Binary files a/input_output/output/images/img_28.png and b/input_output/output/images/img_28.png differ diff --git a/input_output/output/images/img_28.png_rows/row_0/col_0.png b/input_output/output/images/img_28.png_rows/row_0/col_0.png index 80b1020e24d835450c76f556cfac8032f5688fa5..d8635d03c2957a64cf6108953820a7cf2d613748 100644 Binary files a/input_output/output/images/img_28.png_rows/row_0/col_0.png and b/input_output/output/images/img_28.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_28.png_rows/row_0/col_1.png b/input_output/output/images/img_28.png_rows/row_0/col_1.png index 11d064d5cf5186d32d2e072418b8549a7c935129..d52a345bdd985ebe35f9a13fc79b1b5d57dba774 100644 Binary files a/input_output/output/images/img_28.png_rows/row_0/col_1.png and b/input_output/output/images/img_28.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_28.png_rows/row_1/col_0.png b/input_output/output/images/img_28.png_rows/row_1/col_0.png index 503e017e826056707f174e42a105c2bc3492ad12..21632b5c3db4c8959b3798bff66f1f9a7ff1a060 100644 Binary files a/input_output/output/images/img_28.png_rows/row_1/col_0.png and b/input_output/output/images/img_28.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_28.png_rows/row_1/col_1.png b/input_output/output/images/img_28.png_rows/row_1/col_1.png index 9d51a48a5e944a79bce3f6f4114cc963b9f44904..0538a3d6484359f23ebeb60b8f926eaa3a7ac344 100644 Binary files a/input_output/output/images/img_28.png_rows/row_1/col_1.png and b/input_output/output/images/img_28.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_28.png_rows/row_2/col_0.png b/input_output/output/images/img_28.png_rows/row_2/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..bcad364f34a4c21cca82150e408c913268913745 Binary files /dev/null and b/input_output/output/images/img_28.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_28.png_rows/row_2/col_1.png b/input_output/output/images/img_28.png_rows/row_2/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..d793c1c19f94449d12d967bd36a171aee13add3d Binary files /dev/null and b/input_output/output/images/img_28.png_rows/row_2/col_1.png differ diff --git a/input_output/output/images/img_28.png_rows/row_3/col_0.png b/input_output/output/images/img_28.png_rows/row_3/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..82ed7a1dfe45d323a1f3b85944bc5da91aa31133 Binary files /dev/null and b/input_output/output/images/img_28.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_29.png b/input_output/output/images/img_29.png index ac4c9c02344ce09dc7d290320c642f0e341238d3..46c95f49fe254a699c70f0b7690f9923b1593f03 100644 Binary files a/input_output/output/images/img_29.png and b/input_output/output/images/img_29.png differ diff --git a/input_output/output/images/img_29.png_rows/row_0/col_0.png b/input_output/output/images/img_29.png_rows/row_0/col_0.png index 9a2a7a39fdfffbead06604019a82e4c00f89d3fc..3487e42f87d3736b38940ff26d344971e14571b4 100644 Binary files a/input_output/output/images/img_29.png_rows/row_0/col_0.png and b/input_output/output/images/img_29.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_29.png_rows/row_0/col_1.png b/input_output/output/images/img_29.png_rows/row_0/col_1.png index d29815729d9c055d508ec5fae87ea203fc58fba2..513dae08d0af1c44b5dc4b3924a41b993b9413ed 100644 Binary files a/input_output/output/images/img_29.png_rows/row_0/col_1.png and b/input_output/output/images/img_29.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_29.png_rows/row_1/col_0.png b/input_output/output/images/img_29.png_rows/row_1/col_0.png index 46c67ec9ec13925c0dc8587830a0e81223e01f3a..d291eecfb733f6d312fb1ac0b8d257f70690763e 100644 Binary files a/input_output/output/images/img_29.png_rows/row_1/col_0.png and b/input_output/output/images/img_29.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_29.png_rows/row_1/col_1.png b/input_output/output/images/img_29.png_rows/row_1/col_1.png index 9ca59f8e9962e17473aa785d8fd8aee834d53dcb..cf1bf037dffcc277980c27e86e764c8945d4428c 100644 Binary files a/input_output/output/images/img_29.png_rows/row_1/col_1.png and b/input_output/output/images/img_29.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_29.png_rows/row_2/col_0.png b/input_output/output/images/img_29.png_rows/row_2/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..e60b52062d18a7d7367ee2b3e01952f1998f4fed Binary files /dev/null and b/input_output/output/images/img_29.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_29.png_rows/row_2/col_1.png b/input_output/output/images/img_29.png_rows/row_2/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..2bfc2fb8dd604c850dcb70e9f8c33be407f549ca Binary files /dev/null and b/input_output/output/images/img_29.png_rows/row_2/col_1.png differ diff --git a/input_output/output/images/img_3.png b/input_output/output/images/img_3.png index e3d29b74edc283edbf455af86ff442572d3ad00a..ae3b499d3b387d909da3cd1700355031cce4dce0 100644 Binary files a/input_output/output/images/img_3.png and b/input_output/output/images/img_3.png differ diff --git a/input_output/output/images/img_3.png_rows/row_0/col_0.png b/input_output/output/images/img_3.png_rows/row_0/col_0.png index 980da4c11a4fe8e564b33ca1cdadd89ae9ac06f8..da12599a764d152462eff9bb0ad0f11ec6b8af34 100644 Binary files a/input_output/output/images/img_3.png_rows/row_0/col_0.png and b/input_output/output/images/img_3.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_1/col_0.png b/input_output/output/images/img_3.png_rows/row_1/col_0.png index ce404b400bc6c282b79019b29ef493ea2edb7a86..9c6f5a4c44b0d42d2ba779a4b54831a054341249 100644 Binary files a/input_output/output/images/img_3.png_rows/row_1/col_0.png and b/input_output/output/images/img_3.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_10/col_0.png b/input_output/output/images/img_3.png_rows/row_10/col_0.png index b12b7168019ff9d403103fa5da5fe8c01233414d..e16aad34dc30bdee3ca9d18b74d5b69244ad16a6 100644 Binary files a/input_output/output/images/img_3.png_rows/row_10/col_0.png and b/input_output/output/images/img_3.png_rows/row_10/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_11/col_0.png b/input_output/output/images/img_3.png_rows/row_11/col_0.png index 001c892651527d093633b1274bc27d09ab613f02..a2249b8210c62deb2307d3e1b1453d05beb5f5e9 100644 Binary files a/input_output/output/images/img_3.png_rows/row_11/col_0.png and b/input_output/output/images/img_3.png_rows/row_11/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_12/col_0.png b/input_output/output/images/img_3.png_rows/row_12/col_0.png index 6b133fc0df43474b04a7ccf294b6db67b3e77193..43ecea4da1851222da4fc65e7a6c3701098fe809 100644 Binary files a/input_output/output/images/img_3.png_rows/row_12/col_0.png and b/input_output/output/images/img_3.png_rows/row_12/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_13/col_0.png b/input_output/output/images/img_3.png_rows/row_13/col_0.png index 8ea85c9e364b78c3702ea139252919e7fd018a6e..cbb1a5ca5d01a2e4f405538e843b32ed2c8b120f 100644 Binary files a/input_output/output/images/img_3.png_rows/row_13/col_0.png and b/input_output/output/images/img_3.png_rows/row_13/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_14/col_0.png b/input_output/output/images/img_3.png_rows/row_14/col_0.png index c57dc9c6f0310dd37ac34f604e560f5641530a71..5f7e4e84669555c36a364285dfeae893d79aab69 100644 Binary files a/input_output/output/images/img_3.png_rows/row_14/col_0.png and b/input_output/output/images/img_3.png_rows/row_14/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_15/col_0.png b/input_output/output/images/img_3.png_rows/row_15/col_0.png index d73cfffba570bc38025e777febd2758be67a580d..d1dead8288ba3ed989ed08e1d4c1c5234dcb9f24 100644 Binary files a/input_output/output/images/img_3.png_rows/row_15/col_0.png and b/input_output/output/images/img_3.png_rows/row_15/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_16/col_0.png b/input_output/output/images/img_3.png_rows/row_16/col_0.png index 703341690187999467b482234e415741e4f7ea5d..564f79b7a38fafa226be072a0edc2d3e31157898 100644 Binary files a/input_output/output/images/img_3.png_rows/row_16/col_0.png and b/input_output/output/images/img_3.png_rows/row_16/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_17/col_0.png b/input_output/output/images/img_3.png_rows/row_17/col_0.png index 31e3bc5eb0022ee30b62eca735e8f23693868597..05b19e16bfaf74deaad9bd77fd6ac4ac17b7da87 100644 Binary files a/input_output/output/images/img_3.png_rows/row_17/col_0.png and b/input_output/output/images/img_3.png_rows/row_17/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_18/col_0.png b/input_output/output/images/img_3.png_rows/row_18/col_0.png index 45438358a95ee4abd45614bd757f7e209d32d6d7..2828581ed1cd2368d9b999a56230fd45cbb12dab 100644 Binary files a/input_output/output/images/img_3.png_rows/row_18/col_0.png and b/input_output/output/images/img_3.png_rows/row_18/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_19/col_0.png b/input_output/output/images/img_3.png_rows/row_19/col_0.png index 82369b2b9512ffbd7d5dd59e043845876fe3c191..91d698248ddfe99ca2e220b43370be7eeb99d004 100644 Binary files a/input_output/output/images/img_3.png_rows/row_19/col_0.png and b/input_output/output/images/img_3.png_rows/row_19/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_2/col_0.png b/input_output/output/images/img_3.png_rows/row_2/col_0.png index 67985cbd2c651c7e65d0e37e3181c9658fac4e86..293887a702eb973f381d84f2935fd96d2062ab04 100644 Binary files a/input_output/output/images/img_3.png_rows/row_2/col_0.png and b/input_output/output/images/img_3.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_3/col_0.png b/input_output/output/images/img_3.png_rows/row_3/col_0.png index 6d923eb5966b74708038e64dbd98a0339cf4144e..bc20e6e5524aa01e94cf3d3a0cbc4769ffca3f4d 100644 Binary files a/input_output/output/images/img_3.png_rows/row_3/col_0.png and b/input_output/output/images/img_3.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_4/col_0.png b/input_output/output/images/img_3.png_rows/row_4/col_0.png index e1bd1ca199a91df8e8d921c66b70cef563226d19..cb7a099beaac06fe3bba4bf3858ba41c5cb379b3 100644 Binary files a/input_output/output/images/img_3.png_rows/row_4/col_0.png and b/input_output/output/images/img_3.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_5/col_0.png b/input_output/output/images/img_3.png_rows/row_5/col_0.png index 7c555c1b902bd0b86eb38c1fbeea718c1a8b58d3..c9e12cce6013ed957a06e7ff60fdd415a30ec8cd 100644 Binary files a/input_output/output/images/img_3.png_rows/row_5/col_0.png and b/input_output/output/images/img_3.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_6/col_0.png b/input_output/output/images/img_3.png_rows/row_6/col_0.png index 0ea5bf189a564cdd606e10f6e7d8cf1e46546b73..3616512e0714e56256ced08f3caea9c7243342ba 100644 Binary files a/input_output/output/images/img_3.png_rows/row_6/col_0.png and b/input_output/output/images/img_3.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_7/col_0.png b/input_output/output/images/img_3.png_rows/row_7/col_0.png index d4f180e534df8fc445b152531f151c42b3de956c..a76862a44cf02416388caf9ac7859c07c17bfb2c 100644 Binary files a/input_output/output/images/img_3.png_rows/row_7/col_0.png and b/input_output/output/images/img_3.png_rows/row_7/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_8/col_0.png b/input_output/output/images/img_3.png_rows/row_8/col_0.png index d079dc951f475bd30f8174350b8e69f7f72a1b9b..dd44d650ce996290be62e4df716f2b2cc3be21d4 100644 Binary files a/input_output/output/images/img_3.png_rows/row_8/col_0.png and b/input_output/output/images/img_3.png_rows/row_8/col_0.png differ diff --git a/input_output/output/images/img_3.png_rows/row_9/col_0.png b/input_output/output/images/img_3.png_rows/row_9/col_0.png index 46bd26e482b5c7a6f3110789d4a53bd62245993b..f75f5478d171841ca2491a892f8060ffe5c2459b 100644 Binary files a/input_output/output/images/img_3.png_rows/row_9/col_0.png and b/input_output/output/images/img_3.png_rows/row_9/col_0.png differ diff --git a/input_output/output/images/img_30.png b/input_output/output/images/img_30.png index 3250e2fc874639f030b04d017a99fce4a792cc41..6e3b2ea638b142d50a0b49b2851b1aaed9113b6a 100644 Binary files a/input_output/output/images/img_30.png and b/input_output/output/images/img_30.png differ diff --git a/input_output/output/images/img_30.png_rows/row_0/col_0.png b/input_output/output/images/img_30.png_rows/row_0/col_0.png index 25fc81dd2c0f04fa3c4aaa5026096df57fd42d9e..d8635d03c2957a64cf6108953820a7cf2d613748 100644 Binary files a/input_output/output/images/img_30.png_rows/row_0/col_0.png and b/input_output/output/images/img_30.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_30.png_rows/row_0/col_1.png b/input_output/output/images/img_30.png_rows/row_0/col_1.png index e10fda6ae7f5c12a7f10e035e8c323ba5f8ba24d..d52a345bdd985ebe35f9a13fc79b1b5d57dba774 100644 Binary files a/input_output/output/images/img_30.png_rows/row_0/col_1.png and b/input_output/output/images/img_30.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_30.png_rows/row_1/col_0.png b/input_output/output/images/img_30.png_rows/row_1/col_0.png index fe767c8364896e8467ca47cc9bed22a5b85816ab..adc61e976d6b59dd38e8f005890d1c993e733519 100644 Binary files a/input_output/output/images/img_30.png_rows/row_1/col_0.png and b/input_output/output/images/img_30.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_30.png_rows/row_1/col_1.png b/input_output/output/images/img_30.png_rows/row_1/col_1.png index 6f0e6841a49a32f309bf98ef1002aca3858c5278..8e1dff59342d4f35079d7fb4d9c012243134a2f2 100644 Binary files a/input_output/output/images/img_30.png_rows/row_1/col_1.png and b/input_output/output/images/img_30.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_30.png_rows/row_2/col_0.png b/input_output/output/images/img_30.png_rows/row_2/col_0.png index 77c0a6073ae3b39dce0f18eed86c744f2ce32afc..a492b2c0ee3b5e6826c530bbb4bee0620e6d0576 100644 Binary files a/input_output/output/images/img_30.png_rows/row_2/col_0.png and b/input_output/output/images/img_30.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_30.png_rows/row_3/col_0.png b/input_output/output/images/img_30.png_rows/row_3/col_0.png index 4bab81fc617a554e49a7a8e6d87ecca9d527b819..34d9c6b368a9013c3baa75a97b9f71959a1597a2 100644 Binary files a/input_output/output/images/img_30.png_rows/row_3/col_0.png and b/input_output/output/images/img_30.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_30.png_rows/row_3/col_1.png b/input_output/output/images/img_30.png_rows/row_3/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..d2e243b791dc327c324323f28828eb0be7ca7c06 Binary files /dev/null and b/input_output/output/images/img_30.png_rows/row_3/col_1.png differ diff --git a/input_output/output/images/img_31.png b/input_output/output/images/img_31.png index bec7bb6d80922f098aafaff1b72d4f798d1a44a2..03681004c27e8af89285e5d839fb9a729aab0149 100644 Binary files a/input_output/output/images/img_31.png and b/input_output/output/images/img_31.png differ diff --git a/input_output/output/images/img_31.png_rows/row_0/col_0.png b/input_output/output/images/img_31.png_rows/row_0/col_0.png index 925b06a520ceea02b32f1dcb0dbcdadf83495b6a..3487e42f87d3736b38940ff26d344971e14571b4 100644 Binary files a/input_output/output/images/img_31.png_rows/row_0/col_0.png and b/input_output/output/images/img_31.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_31.png_rows/row_0/col_1.png b/input_output/output/images/img_31.png_rows/row_0/col_1.png index 6b92bd4090fc43f249d13bf2f4b4e0a370706e78..0ed55740ea584db07fa148325330e778ab80403a 100644 Binary files a/input_output/output/images/img_31.png_rows/row_0/col_1.png and b/input_output/output/images/img_31.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_31.png_rows/row_1/col_0.png b/input_output/output/images/img_31.png_rows/row_1/col_0.png index f21ea39e738ab6fd67457079d74a011ada749e75..d53b129c232838318a87231ce2170284f9e3eda5 100644 Binary files a/input_output/output/images/img_31.png_rows/row_1/col_0.png and b/input_output/output/images/img_31.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_31.png_rows/row_1/col_1.png b/input_output/output/images/img_31.png_rows/row_1/col_1.png index 2f0cc7394cbc111c67bd6f225f5ee70475ab75e5..936d6c9b29efbe86b52398920518a63b4579750d 100644 Binary files a/input_output/output/images/img_31.png_rows/row_1/col_1.png and b/input_output/output/images/img_31.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_31.png_rows/row_2/col_0.png b/input_output/output/images/img_31.png_rows/row_2/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..ded0185398d415bd2953dc6e28f871c37e538ce5 Binary files /dev/null and b/input_output/output/images/img_31.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_31.png_rows/row_3/col_0.png b/input_output/output/images/img_31.png_rows/row_3/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..0d7bdda7ea5450149d1b0fb3b2ef038225f1cf9e Binary files /dev/null and b/input_output/output/images/img_31.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_31.png_rows/row_4/col_0.png b/input_output/output/images/img_31.png_rows/row_4/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..cf74535ecfc4bec89a9a7ed3b623099dd0972d1f Binary files /dev/null and b/input_output/output/images/img_31.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_31.png_rows/row_5/col_0.png b/input_output/output/images/img_31.png_rows/row_5/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..e9cca6c7ad0b76416138d9cdc78023076e485cd5 Binary files /dev/null and b/input_output/output/images/img_31.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_32.png b/input_output/output/images/img_32.png index 494f5450af1d6b9b56de5860ef5ef883113efa83..cbbde5551812975ec04960f81426c107e92dea7c 100644 Binary files a/input_output/output/images/img_32.png and b/input_output/output/images/img_32.png differ diff --git a/input_output/output/images/img_32.png_rows/row_0/col_0.png b/input_output/output/images/img_32.png_rows/row_0/col_0.png index 5f189e59f1a57dce17a6dc7ef25de166a0666d87..d8635d03c2957a64cf6108953820a7cf2d613748 100644 Binary files a/input_output/output/images/img_32.png_rows/row_0/col_0.png and b/input_output/output/images/img_32.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_32.png_rows/row_0/col_1.png b/input_output/output/images/img_32.png_rows/row_0/col_1.png index 22144130c32593a18ef7452ac5062f66fc413804..d52a345bdd985ebe35f9a13fc79b1b5d57dba774 100644 Binary files a/input_output/output/images/img_32.png_rows/row_0/col_1.png and b/input_output/output/images/img_32.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_32.png_rows/row_1/col_0.png b/input_output/output/images/img_32.png_rows/row_1/col_0.png index 35e0c6dfcc1ec79b084b444292b7d2d5b7df556a..3cc5855856a659464d05842c3cdedaa2c12d8dc8 100644 Binary files a/input_output/output/images/img_32.png_rows/row_1/col_0.png and b/input_output/output/images/img_32.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_32.png_rows/row_1/col_1.png b/input_output/output/images/img_32.png_rows/row_1/col_1.png index fa72c88f927fb132fae1015d0e416ca9abae7b7e..b41b36b77658a5b9111b0e73fa9b6e05f56b9cbe 100644 Binary files a/input_output/output/images/img_32.png_rows/row_1/col_1.png and b/input_output/output/images/img_32.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_32.png_rows/row_2/col_0.png b/input_output/output/images/img_32.png_rows/row_2/col_0.png index ce8c285da83830c4f22991c7260b6fd2ffd9a66f..93060b0e3a1b1a9fcc240c7ed40067f1f1846c37 100644 Binary files a/input_output/output/images/img_32.png_rows/row_2/col_0.png and b/input_output/output/images/img_32.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_32.png_rows/row_3/col_0.png b/input_output/output/images/img_32.png_rows/row_3/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..1186e025543b9f9866dee6868842291bac201c41 Binary files /dev/null and b/input_output/output/images/img_32.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_33.png b/input_output/output/images/img_33.png index f0a6f78cc3ca75cdc639d805c7380effb4b91fd6..4990ee5c0ff26c100f3675f388436933d33799fa 100644 Binary files a/input_output/output/images/img_33.png and b/input_output/output/images/img_33.png differ diff --git a/input_output/output/images/img_33.png_rows/row_0/col_0.png b/input_output/output/images/img_33.png_rows/row_0/col_0.png index 64c8a51e88652511f483c13578c25f2c4d7e6f73..275ae581c11da36ad5af6a2e1f2f597411002be2 100644 Binary files a/input_output/output/images/img_33.png_rows/row_0/col_0.png and b/input_output/output/images/img_33.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_33.png_rows/row_0/col_1.png b/input_output/output/images/img_33.png_rows/row_0/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..598939277e76c7125ec7f56aa5a122d85599f622 Binary files /dev/null and b/input_output/output/images/img_33.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_33.png_rows/row_1/col_0.png b/input_output/output/images/img_33.png_rows/row_1/col_0.png index 68c86122e275e53ce0c3984255f015af455acc7d..7e1b09a4ba826f437c909b5b36108d2763aa4332 100644 Binary files a/input_output/output/images/img_33.png_rows/row_1/col_0.png and b/input_output/output/images/img_33.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_33.png_rows/row_1/col_1.png b/input_output/output/images/img_33.png_rows/row_1/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..d7470c027b89af93fa61352cc507d6f183e2ea10 Binary files /dev/null and b/input_output/output/images/img_33.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_33.png_rows/row_2/col_0.png b/input_output/output/images/img_33.png_rows/row_2/col_0.png index 7b44a69aba898c2ed707ea46681c859462647901..b6b86059e98fc5bf00220948ee91a30a47bd29aa 100644 Binary files a/input_output/output/images/img_33.png_rows/row_2/col_0.png and b/input_output/output/images/img_33.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_33.png_rows/row_3/col_0.png b/input_output/output/images/img_33.png_rows/row_3/col_0.png index 80372c6b3273ed5f6390e0b649813040ac9e65b3..14da624fa2349c369827fddce1fcd570e53bd691 100644 Binary files a/input_output/output/images/img_33.png_rows/row_3/col_0.png and b/input_output/output/images/img_33.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_33.png_rows/row_4/col_0.png b/input_output/output/images/img_33.png_rows/row_4/col_0.png index bbf7aec7eaacca196309a84080c967f836a348d4..89749ed7d662a6a9e78761a4739922a33d83809b 100644 Binary files a/input_output/output/images/img_33.png_rows/row_4/col_0.png and b/input_output/output/images/img_33.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_33.png_rows/row_4/col_1.png b/input_output/output/images/img_33.png_rows/row_4/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..3557a1f45c31f9b93701ebee9f4275f26d599b7b Binary files /dev/null and b/input_output/output/images/img_33.png_rows/row_4/col_1.png differ diff --git a/input_output/output/images/img_34.png b/input_output/output/images/img_34.png index 4dcfe87d0103452fe0fcad0df9316045e845c58f..0887dc7c86855df037ce8c6665381b4bdc858da5 100644 Binary files a/input_output/output/images/img_34.png and b/input_output/output/images/img_34.png differ diff --git a/input_output/output/images/img_34.png_rows/row_0/col_0.png b/input_output/output/images/img_34.png_rows/row_0/col_0.png index 61264796bf92d3cc3aacd3cf4160fa2870ba4f84..10bacaeff119f9da93bceba65d139543478df2f0 100644 Binary files a/input_output/output/images/img_34.png_rows/row_0/col_0.png and b/input_output/output/images/img_34.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_34.png_rows/row_0/col_1.png b/input_output/output/images/img_34.png_rows/row_0/col_1.png index 1450a461086e0f97c24d07f88374732e5b453e7a..6b0e6e9d4d6ab973dbae6ea56a2b9da3e1070363 100644 Binary files a/input_output/output/images/img_34.png_rows/row_0/col_1.png and b/input_output/output/images/img_34.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_34.png_rows/row_1/col_0.png b/input_output/output/images/img_34.png_rows/row_1/col_0.png index d7d31e4235e356d27c16c115bc97937b7fc62cc5..165f785cf6c57b9cf6bd0835227590e2960e3b55 100644 Binary files a/input_output/output/images/img_34.png_rows/row_1/col_0.png and b/input_output/output/images/img_34.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_34.png_rows/row_1/col_1.png b/input_output/output/images/img_34.png_rows/row_1/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..9669846a7c6fe4ccd07556485726b53fde706513 Binary files /dev/null and b/input_output/output/images/img_34.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_34.png_rows/row_2/col_0.png b/input_output/output/images/img_34.png_rows/row_2/col_0.png index e4fb8c58639e05fee1d8f05002bdff2f255dd083..8a97015fd5953e740634e46360f4e96c1d148c24 100644 Binary files a/input_output/output/images/img_34.png_rows/row_2/col_0.png and b/input_output/output/images/img_34.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_34.png_rows/row_2/col_1.png b/input_output/output/images/img_34.png_rows/row_2/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..c4991fe391ba73fb4a522474bb7cae8e1c0eecb1 Binary files /dev/null and b/input_output/output/images/img_34.png_rows/row_2/col_1.png differ diff --git a/input_output/output/images/img_35.png b/input_output/output/images/img_35.png index 026cd950b90ad3e05ff8b0a393efc55bad1f5521..cf7663769393d7fc030a53affa0c63c8176a149f 100644 Binary files a/input_output/output/images/img_35.png and b/input_output/output/images/img_35.png differ diff --git a/input_output/output/images/img_35.png_rows/row_0/col_0.png b/input_output/output/images/img_35.png_rows/row_0/col_0.png index 73c3c1b5088769d29c50f62cde765537b7839783..a6295cf2d3ec8246509f7d34f3106743d01e74d0 100644 Binary files a/input_output/output/images/img_35.png_rows/row_0/col_0.png and b/input_output/output/images/img_35.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_35.png_rows/row_0/col_1.png b/input_output/output/images/img_35.png_rows/row_0/col_1.png index f97f9307307aa967c8c1091bd6cc315120cb7c82..57e134b22ae324a0a1ec0d7c429731185ed0f53c 100644 Binary files a/input_output/output/images/img_35.png_rows/row_0/col_1.png and b/input_output/output/images/img_35.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_35.png_rows/row_1/col_0.png b/input_output/output/images/img_35.png_rows/row_1/col_0.png index 2da55c27ef7422ab7c546556b4214ef1f3221b49..e745524d74741b385fde2f99bf9cd1ad021fcae5 100644 Binary files a/input_output/output/images/img_35.png_rows/row_1/col_0.png and b/input_output/output/images/img_35.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_35.png_rows/row_1/col_1.png b/input_output/output/images/img_35.png_rows/row_1/col_1.png index bed5a4371b697a33339199af4a9e528430d4225a..d1ae864e5830ab104520da9b2862dd26373aff4e 100644 Binary files a/input_output/output/images/img_35.png_rows/row_1/col_1.png and b/input_output/output/images/img_35.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_35.png_rows/row_2/col_0.png b/input_output/output/images/img_35.png_rows/row_2/col_0.png index 9a4d3afed800402e52eb433dcfa320d2a3a4b8e0..eae1ee1f10ff77ce4f7c40a5edec1750a79017c8 100644 Binary files a/input_output/output/images/img_35.png_rows/row_2/col_0.png and b/input_output/output/images/img_35.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_35.png_rows/row_3/col_0.png b/input_output/output/images/img_35.png_rows/row_3/col_0.png index aacbb4a2a1c36998508fe8e4b649b74b46f7720c..41c3c82272d049b29d865f9ecbecdf59ab79cfc2 100644 Binary files a/input_output/output/images/img_35.png_rows/row_3/col_0.png and b/input_output/output/images/img_35.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_35.png_rows/row_4/col_0.png b/input_output/output/images/img_35.png_rows/row_4/col_0.png index 510ea03941f0e669a2e746bd33ceac543c337c4d..be5b9b50684c2a65dbd016b58e325ba4efffbddf 100644 Binary files a/input_output/output/images/img_35.png_rows/row_4/col_0.png and b/input_output/output/images/img_35.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_35.png_rows/row_4/col_1.png b/input_output/output/images/img_35.png_rows/row_4/col_1.png index a94a92bceb0561b088478bdfd1f105513614be93..cd1c2d2226f21ef12817f7745230322fb9b980ee 100644 Binary files a/input_output/output/images/img_35.png_rows/row_4/col_1.png and b/input_output/output/images/img_35.png_rows/row_4/col_1.png differ diff --git a/input_output/output/images/img_36.png b/input_output/output/images/img_36.png index ee97e74f167d853bf62060b149263c79b60d46fe..eb2a6aef62ed3953e262872db2a8629ec234fe70 100644 Binary files a/input_output/output/images/img_36.png and b/input_output/output/images/img_36.png differ diff --git a/input_output/output/images/img_36.png_rows/row_0/col_0.png b/input_output/output/images/img_36.png_rows/row_0/col_0.png index 98c850c5e12fc9011366d720ab4dec0488e9d65c..889a6465b2c6e80d1d58b404cb2bbc92f7c0de61 100644 Binary files a/input_output/output/images/img_36.png_rows/row_0/col_0.png and b/input_output/output/images/img_36.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_1/col_0.png b/input_output/output/images/img_36.png_rows/row_1/col_0.png index acd5bb21b06135a8e1b375b0515524b3a6aac5fd..370e3a2a502551d8108e98c7869a0665b3293e51 100644 Binary files a/input_output/output/images/img_36.png_rows/row_1/col_0.png and b/input_output/output/images/img_36.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_10/col_0.png b/input_output/output/images/img_36.png_rows/row_10/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..017759f0fa271cd500887459d1945cd79a999c80 Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_10/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_11/col_0.png b/input_output/output/images/img_36.png_rows/row_11/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..c1c7c3c0bb6a7ce3c7886f6fa01860517f47dbae Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_11/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_12/col_0.png b/input_output/output/images/img_36.png_rows/row_12/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..3159b4d1accfcb9d5def22cbfab0f0f4e61aa9d1 Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_12/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_13/col_0.png b/input_output/output/images/img_36.png_rows/row_13/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..d13550598a8c8d62373d90c6213ef9c4e0543666 Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_13/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_15/col_0.png b/input_output/output/images/img_36.png_rows/row_15/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..17463f5c90037f1300a10ee424a28b8bbde99549 Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_15/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_16/col_0.png b/input_output/output/images/img_36.png_rows/row_16/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..b55c521f223ef68139f949ef62ea06a36c735ee8 Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_16/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_17/col_0.png b/input_output/output/images/img_36.png_rows/row_17/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..05c8d92ce53ad8be2b1c069512cf8388addff617 Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_17/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_18/col_0.png b/input_output/output/images/img_36.png_rows/row_18/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..b1a0ebe4641e5636adad2cb643f8fa46b7539c36 Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_18/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_19/col_0.png b/input_output/output/images/img_36.png_rows/row_19/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..fcadaaed021775b019d184361ac3df9bdfd64755 Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_19/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_2/col_0.png b/input_output/output/images/img_36.png_rows/row_2/col_0.png index 86a22f32fa4181a02765f50bc471c07427ad747b..ce1a4e8fde9cc4dc14415c4771bd04a91e5a71f4 100644 Binary files a/input_output/output/images/img_36.png_rows/row_2/col_0.png and b/input_output/output/images/img_36.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_20/col_0.png b/input_output/output/images/img_36.png_rows/row_20/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..7308484cfbbab2f67bebd97f115b9af6bde0281b Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_20/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_21/col_0.png b/input_output/output/images/img_36.png_rows/row_21/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..2f24aa48a6e8558ac53419968c9125ef2ffced47 Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_21/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_22/col_0.png b/input_output/output/images/img_36.png_rows/row_22/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..98eb9933c63e48f81053417599d043cf8b9f9d2f Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_22/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_3/col_0.png b/input_output/output/images/img_36.png_rows/row_3/col_0.png index 1d7067d9eb3bf32451ed683715bacbc5f5f8f2d4..7eaeda6571d91252387b86e5b05784810c0a34e7 100644 Binary files a/input_output/output/images/img_36.png_rows/row_3/col_0.png and b/input_output/output/images/img_36.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_4/col_0.png b/input_output/output/images/img_36.png_rows/row_4/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..ecbc611ad2bf6a9e6de70314b114b69b7828bc96 Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_5/col_0.png b/input_output/output/images/img_36.png_rows/row_5/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..b30084551cabca8000518e118db2d046721dcb09 Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_6/col_0.png b/input_output/output/images/img_36.png_rows/row_6/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..2f033fa688d63229d2d59b856484c68da6c95f1f Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_7/col_0.png b/input_output/output/images/img_36.png_rows/row_7/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..47afee8ac56e376ab974f5345bd87525242be4de Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_7/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_8/col_0.png b/input_output/output/images/img_36.png_rows/row_8/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..09aebbc263f7a4f0af19edbf01578ee9c1ea23e4 Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_8/col_0.png differ diff --git a/input_output/output/images/img_36.png_rows/row_9/col_0.png b/input_output/output/images/img_36.png_rows/row_9/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..fd61266b509c37987e67bdccd749c95506d3c50e Binary files /dev/null and b/input_output/output/images/img_36.png_rows/row_9/col_0.png differ diff --git a/input_output/output/images/img_37.png b/input_output/output/images/img_37.png index 94e2579e900fded1fe5ac6dc75111d3a7d825ae0..c5b78af96023e1567774716ed228705a7e3b59a2 100644 Binary files a/input_output/output/images/img_37.png and b/input_output/output/images/img_37.png differ diff --git a/input_output/output/images/img_37.png_rows/row_0/col_0.png b/input_output/output/images/img_37.png_rows/row_0/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..1417888689ab4bde049fc9f1462200de8a7e41f7 Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_1/col_0.png b/input_output/output/images/img_37.png_rows/row_1/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..cce293091984de8c70b2c1935f8866a746ce799a Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_10/col_0.png b/input_output/output/images/img_37.png_rows/row_10/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..d694791592fdfe1124ff668ecf79c99f316feae1 Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_10/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_11/col_0.png b/input_output/output/images/img_37.png_rows/row_11/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..bc914b131b90b52681060724acadb002e3385263 Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_11/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_12/col_0.png b/input_output/output/images/img_37.png_rows/row_12/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..63964adb9a7e32fc4f599aaa7ae7fe2d64486da0 Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_12/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_13/col_0.png b/input_output/output/images/img_37.png_rows/row_13/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..1eaacce23e7cdd11e3d81345ca246ba847472b3a Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_13/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_14/col_0.png b/input_output/output/images/img_37.png_rows/row_14/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..1364fa6cadaf5461290b73ce2cf3570387231641 Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_14/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_15/col_0.png b/input_output/output/images/img_37.png_rows/row_15/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..68dc3659104fa36ebc8f8950bc52eb05aa949f5c Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_15/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_16/col_0.png b/input_output/output/images/img_37.png_rows/row_16/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..0126e886cea6e42cb87e90b2e2a94fb4ed2d290a Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_16/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_17/col_0.png b/input_output/output/images/img_37.png_rows/row_17/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..32cb7e021ae1bfc8b70219000a24ec85a96e6b5f Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_17/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_18/col_0.png b/input_output/output/images/img_37.png_rows/row_18/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..f670d3442554dca872767e7e4d6066cc188ec59d Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_18/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_19/col_0.png b/input_output/output/images/img_37.png_rows/row_19/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..3e3527b55819a48625f2318654639784021899f3 Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_19/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_2/col_0.png b/input_output/output/images/img_37.png_rows/row_2/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..e5263301d2d10067633be47070a3a406e57be838 Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_20/col_0.png b/input_output/output/images/img_37.png_rows/row_20/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..76781300470e00e573848d7fa7f8a601ad5d1ecd Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_20/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_3/col_0.png b/input_output/output/images/img_37.png_rows/row_3/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..122e524c0be397b22e6bc9b8ef1a06543490ca4d Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_4/col_0.png b/input_output/output/images/img_37.png_rows/row_4/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..405203389137647f9e5fef5185bc0d2ae00d4e33 Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_5/col_0.png b/input_output/output/images/img_37.png_rows/row_5/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..fd7e8201e3817ca095974863058277e2aae211d6 Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_6/col_0.png b/input_output/output/images/img_37.png_rows/row_6/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..c487c3913d9c56aee4b41fb41a8269712d7c4690 Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_7/col_0.png b/input_output/output/images/img_37.png_rows/row_7/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..d8ce4005476bbeab37dacfd19bd66dc8ff2ad37c Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_7/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_8/col_0.png b/input_output/output/images/img_37.png_rows/row_8/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..d5c6c4b20b59ea0f7e24fe4f49893f33c21a5aaf Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_8/col_0.png differ diff --git a/input_output/output/images/img_37.png_rows/row_9/col_0.png b/input_output/output/images/img_37.png_rows/row_9/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..8cf685f20e2bbd854b1a2af35748ad567cf2b89c Binary files /dev/null and b/input_output/output/images/img_37.png_rows/row_9/col_0.png differ diff --git a/input_output/output/images/img_38.png b/input_output/output/images/img_38.png index ee15cc5964f07b3a03a5faff29e076d841e8dd39..0bd3f6a520cccb0c4d7f007f83c214c862eac66d 100644 Binary files a/input_output/output/images/img_38.png and b/input_output/output/images/img_38.png differ diff --git a/input_output/output/images/img_38.png_rows/row_0/col_0.png b/input_output/output/images/img_38.png_rows/row_0/col_0.png index 7c02d606e953024654e9293ca4dad88adfd2bd34..e1ac6f7ed1bb8cb33e485063194ef43f9385bdcf 100644 Binary files a/input_output/output/images/img_38.png_rows/row_0/col_0.png and b/input_output/output/images/img_38.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_38.png_rows/row_1/col_0.png b/input_output/output/images/img_38.png_rows/row_1/col_0.png index 291a51608ea40bb0f35f9f090a3e0463749a44bc..52d22873a5e83e5a09597c741362438da5a6bab9 100644 Binary files a/input_output/output/images/img_38.png_rows/row_1/col_0.png and b/input_output/output/images/img_38.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_38.png_rows/row_2/col_0.png b/input_output/output/images/img_38.png_rows/row_2/col_0.png index a9678d97f4d04dff3bf4e21a45352e25d41776c6..29d645133f9835e88ac485b60513c6e9993cdfc4 100644 Binary files a/input_output/output/images/img_38.png_rows/row_2/col_0.png and b/input_output/output/images/img_38.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_38.png_rows/row_3/col_0.png b/input_output/output/images/img_38.png_rows/row_3/col_0.png index 9aa53254731d82bb45f2833114b3a8b2f92ca9dc..027898a9892e944f5d9e3daea02d187db033f601 100644 Binary files a/input_output/output/images/img_38.png_rows/row_3/col_0.png and b/input_output/output/images/img_38.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_38.png_rows/row_4/col_0.png b/input_output/output/images/img_38.png_rows/row_4/col_0.png index d6acfb62a135aad0623ae65c599eb32e7a957623..d5f668e232ec284f2e4deca48ec2b6bb846f1369 100644 Binary files a/input_output/output/images/img_38.png_rows/row_4/col_0.png and b/input_output/output/images/img_38.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_38.png_rows/row_5/col_0.png b/input_output/output/images/img_38.png_rows/row_5/col_0.png index 61edf95c537a9d605db2625929f120c20b324377..05fe3792651e00af844250cee36cf407666b5f31 100644 Binary files a/input_output/output/images/img_38.png_rows/row_5/col_0.png and b/input_output/output/images/img_38.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_38.png_rows/row_6/col_0.png b/input_output/output/images/img_38.png_rows/row_6/col_0.png index 97cffaad43db2aa78b4f4d33d5da908ea034059e..f1db9318dce578cdb188a44bc36852ea52941288 100644 Binary files a/input_output/output/images/img_38.png_rows/row_6/col_0.png and b/input_output/output/images/img_38.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_38.png_rows/row_7/col_0.png b/input_output/output/images/img_38.png_rows/row_7/col_0.png index 72087ddacde578ddff8b2f7b144a540ddf4f7ef9..03dbe598d0361c760825bdac507024d2af06df3a 100644 Binary files a/input_output/output/images/img_38.png_rows/row_7/col_0.png and b/input_output/output/images/img_38.png_rows/row_7/col_0.png differ diff --git a/input_output/output/images/img_39.png b/input_output/output/images/img_39.png index b804e5897b9c1d3ebad372de8a85ddb4fc548f66..66ab3ede2123478ab40e22cb86689d56547291dd 100644 Binary files a/input_output/output/images/img_39.png and b/input_output/output/images/img_39.png differ diff --git a/input_output/output/images/img_39.png_rows/row_0/col_0.png b/input_output/output/images/img_39.png_rows/row_0/col_0.png index 424052328113d4daea0d3603ff65961d6aa26228..7764048a89f3e3fb1c25c80fd686d11f81f78d47 100644 Binary files a/input_output/output/images/img_39.png_rows/row_0/col_0.png and b/input_output/output/images/img_39.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_39.png_rows/row_1/col_0.png b/input_output/output/images/img_39.png_rows/row_1/col_0.png index 1b298c5ed1af055e0fff953cbcbb3b3f1371c821..1a49cbd2b2e9efc9d2fd6b33841463a9ac73c0cc 100644 Binary files a/input_output/output/images/img_39.png_rows/row_1/col_0.png and b/input_output/output/images/img_39.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_39.png_rows/row_2/col_0.png b/input_output/output/images/img_39.png_rows/row_2/col_0.png index e1e8f134e6a07764c6153d6b529a3c69de0c9e3e..c13409c377c78ba3c6cd93198dae49243701df90 100644 Binary files a/input_output/output/images/img_39.png_rows/row_2/col_0.png and b/input_output/output/images/img_39.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_39.png_rows/row_3/col_0.png b/input_output/output/images/img_39.png_rows/row_3/col_0.png index 7ca233136e7d88c81073cca2153cf9fbf297332a..79afb5761c8e1f6be3cff26dee3d60b02cc41fe1 100644 Binary files a/input_output/output/images/img_39.png_rows/row_3/col_0.png and b/input_output/output/images/img_39.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_39.png_rows/row_4/col_0.png b/input_output/output/images/img_39.png_rows/row_4/col_0.png index 855fcfb6213e7b612316a46c9292b578baa8f590..6adaea9d77a6de6f894b6037f55663b269fabdfe 100644 Binary files a/input_output/output/images/img_39.png_rows/row_4/col_0.png and b/input_output/output/images/img_39.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_39.png_rows/row_5/col_0.png b/input_output/output/images/img_39.png_rows/row_5/col_0.png index fffc9ce6825418b586afdb45b971ff04cdd4b6de..fc11737415df673851451b413ab0a09d3957de43 100644 Binary files a/input_output/output/images/img_39.png_rows/row_5/col_0.png and b/input_output/output/images/img_39.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_39.png_rows/row_6/col_0.png b/input_output/output/images/img_39.png_rows/row_6/col_0.png index 8dcd27dde55f1cef381931de91b776169555b9ef..021aeeef548618b2cd3aaceee9bf5a847bf75005 100644 Binary files a/input_output/output/images/img_39.png_rows/row_6/col_0.png and b/input_output/output/images/img_39.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_39.png_rows/row_7/col_0.png b/input_output/output/images/img_39.png_rows/row_7/col_0.png index d83a7dfa24831ce994962904c57570d16dc508da..fe061e319dbe01863ed09ec33af11b7c4127a785 100644 Binary files a/input_output/output/images/img_39.png_rows/row_7/col_0.png and b/input_output/output/images/img_39.png_rows/row_7/col_0.png differ diff --git a/input_output/output/images/img_39.png_rows/row_8/col_0.png b/input_output/output/images/img_39.png_rows/row_8/col_0.png index 6310e9b9bed61f8344207d57a780989a1e6ae28e..00334b168f69aca854cd51f132d60b6df9b9d5e0 100644 Binary files a/input_output/output/images/img_39.png_rows/row_8/col_0.png and b/input_output/output/images/img_39.png_rows/row_8/col_0.png differ diff --git a/input_output/output/images/img_39.png_rows/row_9/col_0.png b/input_output/output/images/img_39.png_rows/row_9/col_0.png index f4b16df7b7086a589bf7bbdd53499e5ce8b99a4c..c887fb4107d84b10500df30fd698649e8cfbdc06 100644 Binary files a/input_output/output/images/img_39.png_rows/row_9/col_0.png and b/input_output/output/images/img_39.png_rows/row_9/col_0.png differ diff --git a/input_output/output/images/img_4.png b/input_output/output/images/img_4.png index fe78680f1d5ef4c57a670b4284146e1e899e2f70..9c8bda27221858e411476bbd6873df1f4a1bd31f 100644 Binary files a/input_output/output/images/img_4.png and b/input_output/output/images/img_4.png differ diff --git a/input_output/output/images/img_4.png_rows/row_0/col_0.png b/input_output/output/images/img_4.png_rows/row_0/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..4fd1c3dacebd076047ac2a1894fe02be96d7e952 Binary files /dev/null and b/input_output/output/images/img_4.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_4.png_rows/row_1/col_0.png b/input_output/output/images/img_4.png_rows/row_1/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..a30263de523faa0b952ef4b76bd22389e523ed32 Binary files /dev/null and b/input_output/output/images/img_4.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_4.png_rows/row_2/col_0.png b/input_output/output/images/img_4.png_rows/row_2/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..e2a3cabe65cbfb213ac0372890c9706db84f4c26 Binary files /dev/null and b/input_output/output/images/img_4.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_4.png_rows/row_3/col_0.png b/input_output/output/images/img_4.png_rows/row_3/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..961a47a15a9659afb87bb1cc1fa9813af9fe2d05 Binary files /dev/null and b/input_output/output/images/img_4.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_4.png_rows/row_4/col_0.png b/input_output/output/images/img_4.png_rows/row_4/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..ace837d31c61ea92432915c61ad6dbca6dd78c0c Binary files /dev/null and b/input_output/output/images/img_4.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_40.png b/input_output/output/images/img_40.png index 830c806fbd1cebea44359c4e67ce99cfd95c3ada..03c4ed56972b1cf371697318d972e69f94a706de 100644 Binary files a/input_output/output/images/img_40.png and b/input_output/output/images/img_40.png differ diff --git a/input_output/output/images/img_40.png_rows/row_0/col_0.png b/input_output/output/images/img_40.png_rows/row_0/col_0.png index 49fd0a452dc70a53f00bdf9d7faf8d2afa689ef4..ae2bf711dfa5bbd6c0ac8401c9a6965b9dbc5c7e 100644 Binary files a/input_output/output/images/img_40.png_rows/row_0/col_0.png and b/input_output/output/images/img_40.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_40.png_rows/row_0/col_1.png b/input_output/output/images/img_40.png_rows/row_0/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..6b9abc4e8d5e8ab401c8d738f0faa115bfad4dc3 Binary files /dev/null and b/input_output/output/images/img_40.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_40.png_rows/row_1/col_0.png b/input_output/output/images/img_40.png_rows/row_1/col_0.png index 8fc02af0c44e4eb75ffec53836f9ee00fd0042e9..e83cd535686fe875a68ced47ee56f9311b8044eb 100644 Binary files a/input_output/output/images/img_40.png_rows/row_1/col_0.png and b/input_output/output/images/img_40.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_40.png_rows/row_1/col_1.png b/input_output/output/images/img_40.png_rows/row_1/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..62777b2f9554f1f7aa5ac22140107bb510640684 Binary files /dev/null and b/input_output/output/images/img_40.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_41.png b/input_output/output/images/img_41.png index 0fb5d43976565a977da899edcb1e1e0aaf1c9e04..a0b7ae796c258ed0dee5a68115455ef155710130 100644 Binary files a/input_output/output/images/img_41.png and b/input_output/output/images/img_41.png differ diff --git a/input_output/output/images/img_41.png_rows/row_0/col_0.png b/input_output/output/images/img_41.png_rows/row_0/col_0.png index cb496e36ca08431e82c0621c7754f29d25449eb6..5b72fdb5611bea8a0915d2e7238f136f72a8a6d5 100644 Binary files a/input_output/output/images/img_41.png_rows/row_0/col_0.png and b/input_output/output/images/img_41.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_1/col_0.png b/input_output/output/images/img_41.png_rows/row_1/col_0.png index 47e935caec8bbadffeb9319e0d58d6e424c7da53..bc0a94b2d330a9574263d17a2c367380daa6e75c 100644 Binary files a/input_output/output/images/img_41.png_rows/row_1/col_0.png and b/input_output/output/images/img_41.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_10/col_0.png b/input_output/output/images/img_41.png_rows/row_10/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..3130ee069bce9ebe0b1025db83aede428f128504 Binary files /dev/null and b/input_output/output/images/img_41.png_rows/row_10/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_12/col_0.png b/input_output/output/images/img_41.png_rows/row_12/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..9e01235dced94aa173e8bad3791497e9ddd61d20 Binary files /dev/null and b/input_output/output/images/img_41.png_rows/row_12/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_13/col_0.png b/input_output/output/images/img_41.png_rows/row_13/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..f020a7371782acc52a214bf744401f86cd6bb72e Binary files /dev/null and b/input_output/output/images/img_41.png_rows/row_13/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_14/col_0.png b/input_output/output/images/img_41.png_rows/row_14/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..055aea95ad5b6a1acc8968274e29434ffce35264 Binary files /dev/null and b/input_output/output/images/img_41.png_rows/row_14/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_15/col_0.png b/input_output/output/images/img_41.png_rows/row_15/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..1457fdc8524d0c7daa5f2140b854cc27c02db815 Binary files /dev/null and b/input_output/output/images/img_41.png_rows/row_15/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_16/col_0.png b/input_output/output/images/img_41.png_rows/row_16/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..a956010a8fe47d68419040900348d2c8ae27d67b Binary files /dev/null and b/input_output/output/images/img_41.png_rows/row_16/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_17/col_0.png b/input_output/output/images/img_41.png_rows/row_17/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..d868dce5699d74d76077c6c7b2c28916e9fbf3ac Binary files /dev/null and b/input_output/output/images/img_41.png_rows/row_17/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_18/col_0.png b/input_output/output/images/img_41.png_rows/row_18/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..a6a76e65b24f5e7d0ea266a17e24bae379e0cde3 Binary files /dev/null and b/input_output/output/images/img_41.png_rows/row_18/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_2/col_0.png b/input_output/output/images/img_41.png_rows/row_2/col_0.png index 7390b0a6a4c7cc4b685ce0981bdc999eed8614d1..5c7b60378137cbf564e4ad419dff40eb4ed04f12 100644 Binary files a/input_output/output/images/img_41.png_rows/row_2/col_0.png and b/input_output/output/images/img_41.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_3/col_0.png b/input_output/output/images/img_41.png_rows/row_3/col_0.png index fcfcb5d8f30b2e9b33657ca6152554c2cc3058df..92b4ef9d13a5aad44685ec5e9e5e10ae5ca7c474 100644 Binary files a/input_output/output/images/img_41.png_rows/row_3/col_0.png and b/input_output/output/images/img_41.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_4/col_0.png b/input_output/output/images/img_41.png_rows/row_4/col_0.png index c51d42ef39c23cf5bf41f984a16c42279da7b292..c3d6f690f640306f71be5ecc38511f3fdde2966f 100644 Binary files a/input_output/output/images/img_41.png_rows/row_4/col_0.png and b/input_output/output/images/img_41.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_6/col_0.png b/input_output/output/images/img_41.png_rows/row_6/col_0.png index 8a933e04e42e3b16a8ce7ec6f785885729c0b434..012d32ae0bf71ec2c2bd621574ec72f0311ff360 100644 Binary files a/input_output/output/images/img_41.png_rows/row_6/col_0.png and b/input_output/output/images/img_41.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_7/col_0.png b/input_output/output/images/img_41.png_rows/row_7/col_0.png index d03255fdd4c4829c24068733854c8661fcdcedc3..14f8cfded260726b58288cb30a489813aa2ef67b 100644 Binary files a/input_output/output/images/img_41.png_rows/row_7/col_0.png and b/input_output/output/images/img_41.png_rows/row_7/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_8/col_0.png b/input_output/output/images/img_41.png_rows/row_8/col_0.png index fcc702ab97bf90b69467f273f7920b1cfbf171af..6becf3b6a0f9d7b40edb1bc7959cedc095ab2829 100644 Binary files a/input_output/output/images/img_41.png_rows/row_8/col_0.png and b/input_output/output/images/img_41.png_rows/row_8/col_0.png differ diff --git a/input_output/output/images/img_41.png_rows/row_9/col_0.png b/input_output/output/images/img_41.png_rows/row_9/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..d4a41d0c681dea027cbfe3ebd903138e5efd6726 Binary files /dev/null and b/input_output/output/images/img_41.png_rows/row_9/col_0.png differ diff --git a/input_output/output/images/img_42.png b/input_output/output/images/img_42.png index 7d2c0cdec04aff15f08d1524ef3b0e3609c4269a..526f65ec21364e86d3e562a5054af9e14b1d9e69 100644 Binary files a/input_output/output/images/img_42.png and b/input_output/output/images/img_42.png differ diff --git a/input_output/output/images/img_42.png_rows/row_0/col_0.png b/input_output/output/images/img_42.png_rows/row_0/col_0.png index 10ba8aa3115a50655c73f062686c17748f3c1338..75bcdfc548b72e686e7b348f4e2226584feafcbc 100644 Binary files a/input_output/output/images/img_42.png_rows/row_0/col_0.png and b/input_output/output/images/img_42.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_1/col_0.png b/input_output/output/images/img_42.png_rows/row_1/col_0.png index 0f6c86eaf6f44c45b076c0726b94f2dcb137b171..c7cfb11e5b2d786e672aab33a44a13cfa542a001 100644 Binary files a/input_output/output/images/img_42.png_rows/row_1/col_0.png and b/input_output/output/images/img_42.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_10/col_0.png b/input_output/output/images/img_42.png_rows/row_10/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..2525137df2df5dc1c59dc409077a2c7474fab186 Binary files /dev/null and b/input_output/output/images/img_42.png_rows/row_10/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_11/col_0.png b/input_output/output/images/img_42.png_rows/row_11/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..bf453eae7a8779e65fbf1244e029354e72d85e86 Binary files /dev/null and b/input_output/output/images/img_42.png_rows/row_11/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_12/col_0.png b/input_output/output/images/img_42.png_rows/row_12/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..6dcb2fc22a11e88ffa9b3073e00aeaeda46d7c27 Binary files /dev/null and b/input_output/output/images/img_42.png_rows/row_12/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_13/col_0.png b/input_output/output/images/img_42.png_rows/row_13/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..b2edbd6fd2ec67d1eba9f647b3758e89ccbb300e Binary files /dev/null and b/input_output/output/images/img_42.png_rows/row_13/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_14/col_0.png b/input_output/output/images/img_42.png_rows/row_14/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..208d14ae9ce2200f17d853d774442e4de938275f Binary files /dev/null and b/input_output/output/images/img_42.png_rows/row_14/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_15/col_0.png b/input_output/output/images/img_42.png_rows/row_15/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..a699febe5841f4df055845b5e63a3d65ce50ac7e Binary files /dev/null and b/input_output/output/images/img_42.png_rows/row_15/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_16/col_0.png b/input_output/output/images/img_42.png_rows/row_16/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..c6cd0a97230337a8f5adaccfcc6df00aa60b9bdd Binary files /dev/null and b/input_output/output/images/img_42.png_rows/row_16/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_17/col_0.png b/input_output/output/images/img_42.png_rows/row_17/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..2ca55fb33e82833a5c4a4720567d50eca0adadf9 Binary files /dev/null and b/input_output/output/images/img_42.png_rows/row_17/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_2/col_0.png b/input_output/output/images/img_42.png_rows/row_2/col_0.png index 73a8a72f8122aa8400b69a72d03da714492eefeb..9cd84ac581afe4b8645259acf35da6c6b4bbd240 100644 Binary files a/input_output/output/images/img_42.png_rows/row_2/col_0.png and b/input_output/output/images/img_42.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_3/col_0.png b/input_output/output/images/img_42.png_rows/row_3/col_0.png index 6b12e0c91ff3ab5c6e431e1e87bd67833e6d07c6..4f1d5b65a31f3f461bbe04e951ea7c9f89a89d43 100644 Binary files a/input_output/output/images/img_42.png_rows/row_3/col_0.png and b/input_output/output/images/img_42.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_4/col_0.png b/input_output/output/images/img_42.png_rows/row_4/col_0.png index 73dba35996d407e556156411551c2c270f6b3c99..a5cf680cd073c8b19dd0a62b7f990ff4217f6c59 100644 Binary files a/input_output/output/images/img_42.png_rows/row_4/col_0.png and b/input_output/output/images/img_42.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_5/col_0.png b/input_output/output/images/img_42.png_rows/row_5/col_0.png index 33a6f49ec2caaaf61534188fdc0b9c488dd963a7..4133b972084a5a43c2315a13acfa0b82c4ce4000 100644 Binary files a/input_output/output/images/img_42.png_rows/row_5/col_0.png and b/input_output/output/images/img_42.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_6/col_0.png b/input_output/output/images/img_42.png_rows/row_6/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..97f51a65933eea382acbbfd55f534864316ab222 Binary files /dev/null and b/input_output/output/images/img_42.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_7/col_0.png b/input_output/output/images/img_42.png_rows/row_7/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..3b89fe8f529471f4f7017f6722a31715b5b4f8d6 Binary files /dev/null and b/input_output/output/images/img_42.png_rows/row_7/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_8/col_0.png b/input_output/output/images/img_42.png_rows/row_8/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..d30d1fe7d41c158a1a1dc3a0b28fa9b681f0a732 Binary files /dev/null and b/input_output/output/images/img_42.png_rows/row_8/col_0.png differ diff --git a/input_output/output/images/img_42.png_rows/row_9/col_0.png b/input_output/output/images/img_42.png_rows/row_9/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..32753faa2593bfc182aa35482278b02e2b135100 Binary files /dev/null and b/input_output/output/images/img_42.png_rows/row_9/col_0.png differ diff --git a/input_output/output/images/img_43.png b/input_output/output/images/img_43.png index 0655978f1234de759453433bd829f5c596e8b3d9..0c94b9abe85827fafcc6407665d123ea2a3dde91 100644 Binary files a/input_output/output/images/img_43.png and b/input_output/output/images/img_43.png differ diff --git a/input_output/output/images/img_43.png_rows/row_0/col_0.png b/input_output/output/images/img_43.png_rows/row_0/col_0.png index 4a3aa18102fe2990433f1fd5277611bca3a1e593..11575f8ed5b9d7637558dbd27e562c5344782c2a 100644 Binary files a/input_output/output/images/img_43.png_rows/row_0/col_0.png and b/input_output/output/images/img_43.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_43.png_rows/row_0/col_1.png b/input_output/output/images/img_43.png_rows/row_0/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..bb5ec959bab0fdaf0e86bbc93137496a8806ba6c Binary files /dev/null and b/input_output/output/images/img_43.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_43.png_rows/row_1/col_0.png b/input_output/output/images/img_43.png_rows/row_1/col_0.png index dc08eafcf45b34396dc57d1583af436e64c7d686..a0f3db35d6c15815f48a8785622bd35ae612e192 100644 Binary files a/input_output/output/images/img_43.png_rows/row_1/col_0.png and b/input_output/output/images/img_43.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_43.png_rows/row_1/col_1.png b/input_output/output/images/img_43.png_rows/row_1/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..cc7072aa1f81b953bdf2fd3895b07824d84b4d5e Binary files /dev/null and b/input_output/output/images/img_43.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_43.png_rows/row_2/col_0.png b/input_output/output/images/img_43.png_rows/row_2/col_0.png index fb08ea8862170afe5d69c8e726758188f117bbdc..175e3d413a0c2e85eae6ab90850870973011f2f0 100644 Binary files a/input_output/output/images/img_43.png_rows/row_2/col_0.png and b/input_output/output/images/img_43.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_43.png_rows/row_2/col_1.png b/input_output/output/images/img_43.png_rows/row_2/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..63e1f640b6421eb5c98bf9fd6771753abe5e00d2 Binary files /dev/null and b/input_output/output/images/img_43.png_rows/row_2/col_1.png differ diff --git a/input_output/output/images/img_43.png_rows/row_3/col_0.png b/input_output/output/images/img_43.png_rows/row_3/col_0.png index 09beaee92ab603330e1561430b4cf09e87e8f5dd..1c46d66f427d53c7812a0787aa3607e9bc761266 100644 Binary files a/input_output/output/images/img_43.png_rows/row_3/col_0.png and b/input_output/output/images/img_43.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_43.png_rows/row_3/col_1.png b/input_output/output/images/img_43.png_rows/row_3/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..0545d540205eed239046fd99042d09eec356306c Binary files /dev/null and b/input_output/output/images/img_43.png_rows/row_3/col_1.png differ diff --git a/input_output/output/images/img_43.png_rows/row_4/col_0.png b/input_output/output/images/img_43.png_rows/row_4/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..ba49ac5c6af852d09957ac14579dd2579315a79d Binary files /dev/null and b/input_output/output/images/img_43.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_43.png_rows/row_4/col_1.png b/input_output/output/images/img_43.png_rows/row_4/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..7731132dc3d20541a75d83bf9b95e87b3304ea9a Binary files /dev/null and b/input_output/output/images/img_43.png_rows/row_4/col_1.png differ diff --git a/input_output/output/images/img_44.png b/input_output/output/images/img_44.png index 8d26f19ff8c2e34be16244cad4963618a46359d6..db815a51f425ce007124a28e698c86455f08d00d 100644 Binary files a/input_output/output/images/img_44.png and b/input_output/output/images/img_44.png differ diff --git a/input_output/output/images/img_44.png_rows/row_0/col_0.png b/input_output/output/images/img_44.png_rows/row_0/col_0.png index 079c095e5e497a299354fda8ea33c70d4ce22303..2cd7de8827ef0d77f2d066eced2fc0d73b703715 100644 Binary files a/input_output/output/images/img_44.png_rows/row_0/col_0.png and b/input_output/output/images/img_44.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_1/col_0.png b/input_output/output/images/img_44.png_rows/row_1/col_0.png index a7fc4b6172fc18454ba8897734dfe4a7730e3572..c9d2e89556147bc3e199cd32c8ab9bdc656a50bb 100644 Binary files a/input_output/output/images/img_44.png_rows/row_1/col_0.png and b/input_output/output/images/img_44.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_10/col_0.png b/input_output/output/images/img_44.png_rows/row_10/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..ee1dff99238a94a947cd613ac1966bf57dcbdb32 Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_10/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_11/col_0.png b/input_output/output/images/img_44.png_rows/row_11/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..bbd25d5b8aeeec76c4aa949998e57a0b9c05235a Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_11/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_12/col_0.png b/input_output/output/images/img_44.png_rows/row_12/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..5015f3e09225dbb2698f5d4d2a265ca51d6e48eb Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_12/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_14/col_0.png b/input_output/output/images/img_44.png_rows/row_14/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..a36e2ed28d2b92e8aa0282e8c12af662c14f70ff Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_14/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_15/col_0.png b/input_output/output/images/img_44.png_rows/row_15/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..6f41491b9f25157411b80cfd3e93d546fa0ed408 Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_15/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_16/col_0.png b/input_output/output/images/img_44.png_rows/row_16/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..3d400de6786fbc97d9cec3a69d497979440a516d Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_16/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_17/col_0.png b/input_output/output/images/img_44.png_rows/row_17/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..cda1d28ffcf28b53a67574672a440b7b42c32542 Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_17/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_18/col_0.png b/input_output/output/images/img_44.png_rows/row_18/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..362e2d189dc32171ba27b53bfb1e569e4b8aaaee Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_18/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_19/col_0.png b/input_output/output/images/img_44.png_rows/row_19/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..2cc22517ded5186aed849da678375cdd6ba0e4ad Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_19/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_2/col_0.png b/input_output/output/images/img_44.png_rows/row_2/col_0.png index eab8bcec0fd787cd3d35d14027f57c0f342810cf..6ce153f8b2d492e4be4da1d7132f5e4a08e7a35c 100644 Binary files a/input_output/output/images/img_44.png_rows/row_2/col_0.png and b/input_output/output/images/img_44.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_20/col_0.png b/input_output/output/images/img_44.png_rows/row_20/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..23236c4e177587809679c0c55084f092530d4449 Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_20/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_21/col_0.png b/input_output/output/images/img_44.png_rows/row_21/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..3bddd5f7148c02b95b82593c628446e5636cea34 Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_21/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_22/col_0.png b/input_output/output/images/img_44.png_rows/row_22/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..7db7c5ad8a82cd74aaf80aa28415598d6a9fb6de Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_22/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_23/col_0.png b/input_output/output/images/img_44.png_rows/row_23/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..2b9e9b3296c68f0d2227f7df7f55dbcdc0b0c538 Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_23/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_24/col_0.png b/input_output/output/images/img_44.png_rows/row_24/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..8b0cc44cbb79970c1fce0f31ed4a4fb31777b54c Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_24/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_25/col_0.png b/input_output/output/images/img_44.png_rows/row_25/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..9ab9951ee6fc25c0aac6d0c118afc0674b829bcc Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_25/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_26/col_0.png b/input_output/output/images/img_44.png_rows/row_26/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..2cf2e1ae829766e45726158f0bc68246c4957044 Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_26/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_27/col_0.png b/input_output/output/images/img_44.png_rows/row_27/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..4bb8c5782095aba12e7f82ee25692ef1492e631f Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_27/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_28/col_0.png b/input_output/output/images/img_44.png_rows/row_28/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..9fd63b95236563d4dd16e6e4ff9935f58ddf3381 Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_28/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_29/col_0.png b/input_output/output/images/img_44.png_rows/row_29/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..257e70182334b1ee94c13a15acd4c7abfe36bcaa Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_29/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_3/col_0.png b/input_output/output/images/img_44.png_rows/row_3/col_0.png index 451e67f1793bb93302b7d24db7c0934127099882..c11f50dc9032127a0cd56cde41d1013b1ad2a969 100644 Binary files a/input_output/output/images/img_44.png_rows/row_3/col_0.png and b/input_output/output/images/img_44.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_4/col_0.png b/input_output/output/images/img_44.png_rows/row_4/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..a050e1796b168d131b29309c0b313cfbf6463d49 Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_5/col_0.png b/input_output/output/images/img_44.png_rows/row_5/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..2c359a512d77549af113a5dbbee3ce1f42cbbf2f Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_6/col_0.png b/input_output/output/images/img_44.png_rows/row_6/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..8a583f9ab8c0b1e1b69e76f4cc6cc5fe88f9b035 Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_7/col_0.png b/input_output/output/images/img_44.png_rows/row_7/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..8e2aefc7117128d2725795161e1b2af105f71084 Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_7/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_8/col_0.png b/input_output/output/images/img_44.png_rows/row_8/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..48cc6056495485849be214c234dbf70fc0d8686a Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_8/col_0.png differ diff --git a/input_output/output/images/img_44.png_rows/row_9/col_0.png b/input_output/output/images/img_44.png_rows/row_9/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..6f88a2ad2c7abe514ba181ace24a6e0f87944bc1 Binary files /dev/null and b/input_output/output/images/img_44.png_rows/row_9/col_0.png differ diff --git a/input_output/output/images/img_45.png b/input_output/output/images/img_45.png index a44fc5141c171c9b1c596c514b1f1a16df15cc37..43ba3e0f23bd8a36613be73537818b98df487f0f 100644 Binary files a/input_output/output/images/img_45.png and b/input_output/output/images/img_45.png differ diff --git a/input_output/output/images/img_45.png_rows/row_0/col_0.png b/input_output/output/images/img_45.png_rows/row_0/col_0.png index ae2bf711dfa5bbd6c0ac8401c9a6965b9dbc5c7e..8c3c043bb085569c8ec516afe069c166bc571425 100644 Binary files a/input_output/output/images/img_45.png_rows/row_0/col_0.png and b/input_output/output/images/img_45.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_46.png b/input_output/output/images/img_46.png index c19673dc995b0b91b72f3001fe5625e5d85690fb..30f1dad64964cd1c4c3fd90531c7a8d3e11452c2 100644 Binary files a/input_output/output/images/img_46.png and b/input_output/output/images/img_46.png differ diff --git a/input_output/output/images/img_46.png_rows/row_0/col_0.png b/input_output/output/images/img_46.png_rows/row_0/col_0.png index ba367ea0359b63d49590a620ef1b09bc55f904ac..2302d84cec990486102fa7fd0fe3813ecede8ed6 100644 Binary files a/input_output/output/images/img_46.png_rows/row_0/col_0.png and b/input_output/output/images/img_46.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_46.png_rows/row_1/col_0.png b/input_output/output/images/img_46.png_rows/row_1/col_0.png index ec6be0498e4c60ef6510374264bcad4155126947..b0b907f3a173f4df56e05fb3e9b3e516deb40136 100644 Binary files a/input_output/output/images/img_46.png_rows/row_1/col_0.png and b/input_output/output/images/img_46.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_46.png_rows/row_10/col_0.png b/input_output/output/images/img_46.png_rows/row_10/col_0.png index 572e497b16b67f1f497dbc59fabad129c16a0ce4..cc7900f1c8f3ad7e6bef02d0e63c7456a1178cec 100644 Binary files a/input_output/output/images/img_46.png_rows/row_10/col_0.png and b/input_output/output/images/img_46.png_rows/row_10/col_0.png differ diff --git a/input_output/output/images/img_46.png_rows/row_11/col_0.png b/input_output/output/images/img_46.png_rows/row_11/col_0.png index 393bcf0d331de3ca518a2a0bb4f711a4a2e6f332..af1d17764eb612a41bfd5424278d3b84b57c44d3 100644 Binary files a/input_output/output/images/img_46.png_rows/row_11/col_0.png and b/input_output/output/images/img_46.png_rows/row_11/col_0.png differ diff --git a/input_output/output/images/img_46.png_rows/row_12/col_0.png b/input_output/output/images/img_46.png_rows/row_12/col_0.png index 932cb87aaa980ec087232f3fd4e03070570c0d9f..eca8bfabb0bbc34299f34287ff894d47baf96c6b 100644 Binary files a/input_output/output/images/img_46.png_rows/row_12/col_0.png and b/input_output/output/images/img_46.png_rows/row_12/col_0.png differ diff --git a/input_output/output/images/img_46.png_rows/row_2/col_0.png b/input_output/output/images/img_46.png_rows/row_2/col_0.png index f26c93ba209de832677df140ec0803e8ae7a5121..2049bf9c6d72a4f219152c6360a430ceec4b40f8 100644 Binary files a/input_output/output/images/img_46.png_rows/row_2/col_0.png and b/input_output/output/images/img_46.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_46.png_rows/row_3/col_0.png b/input_output/output/images/img_46.png_rows/row_3/col_0.png index 8ced706d2d31030e99c75b1763eb9da6bef3df01..0916b0477a5b22faf3dbf431ee87f11229adfb8f 100644 Binary files a/input_output/output/images/img_46.png_rows/row_3/col_0.png and b/input_output/output/images/img_46.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_46.png_rows/row_5/col_0.png b/input_output/output/images/img_46.png_rows/row_5/col_0.png index 14b5d20c80f60979ca9c84ee23177e07f1259d65..ed7a3374ce95a01f165a54fa9f790eba68b15546 100644 Binary files a/input_output/output/images/img_46.png_rows/row_5/col_0.png and b/input_output/output/images/img_46.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_46.png_rows/row_6/col_0.png b/input_output/output/images/img_46.png_rows/row_6/col_0.png index d455620a050a697aa2d0c3bd167565781378230e..bc5138da528147422b9053891646e6be213e0560 100644 Binary files a/input_output/output/images/img_46.png_rows/row_6/col_0.png and b/input_output/output/images/img_46.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_46.png_rows/row_7/col_0.png b/input_output/output/images/img_46.png_rows/row_7/col_0.png index 6e1db2944a3dc799c38e765beb2fae87379981bd..50fa8179fcce9502b841d43b81bb368d316a5404 100644 Binary files a/input_output/output/images/img_46.png_rows/row_7/col_0.png and b/input_output/output/images/img_46.png_rows/row_7/col_0.png differ diff --git a/input_output/output/images/img_46.png_rows/row_8/col_0.png b/input_output/output/images/img_46.png_rows/row_8/col_0.png index 779b9c7991a9937d6f02ddfb0f8c0b6af41b52a0..8cf2455949e783019d91655b6865f4c9d234acb3 100644 Binary files a/input_output/output/images/img_46.png_rows/row_8/col_0.png and b/input_output/output/images/img_46.png_rows/row_8/col_0.png differ diff --git a/input_output/output/images/img_46.png_rows/row_9/col_0.png b/input_output/output/images/img_46.png_rows/row_9/col_0.png index 48e6fb7cb5a6fffe914219240e64795149d05899..c5849676b399ed6186eb12a4a552e4d05eb862b6 100644 Binary files a/input_output/output/images/img_46.png_rows/row_9/col_0.png and b/input_output/output/images/img_46.png_rows/row_9/col_0.png differ diff --git a/input_output/output/images/img_47.png b/input_output/output/images/img_47.png index c36630e3d37689a6b3d8ae3aa88c184e6a7ccd5c..6f02d384e549a9634c2e1b62481c940db1956669 100644 Binary files a/input_output/output/images/img_47.png and b/input_output/output/images/img_47.png differ diff --git a/input_output/output/images/img_47.png_rows/row_0/col_0.png b/input_output/output/images/img_47.png_rows/row_0/col_0.png index a23e16668f81f148395e0551bf2a0c73c8e779ac..18af883b88141bc070ac45b3dd6bcc777acb1eac 100644 Binary files a/input_output/output/images/img_47.png_rows/row_0/col_0.png and b/input_output/output/images/img_47.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_47.png_rows/row_1/col_0.png b/input_output/output/images/img_47.png_rows/row_1/col_0.png index a9df4d12c80ef587a7a51cdd5c70aa6f90b76a5b..5e6e5740a9ba5fe48d10681b66944791dd54e61e 100644 Binary files a/input_output/output/images/img_47.png_rows/row_1/col_0.png and b/input_output/output/images/img_47.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_47.png_rows/row_2/col_0.png b/input_output/output/images/img_47.png_rows/row_2/col_0.png index 47ef979b5686e250b09aa6b6acc18748e90fdb07..6df900a955c7a82fddf3bb4dce410e9067783593 100644 Binary files a/input_output/output/images/img_47.png_rows/row_2/col_0.png and b/input_output/output/images/img_47.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_47.png_rows/row_3/col_0.png b/input_output/output/images/img_47.png_rows/row_3/col_0.png index 1d4bb7642432ebf743f8ad8bd24fddc24fb844fa..98660bc58db6fb426460683c25164bf737aa4575 100644 Binary files a/input_output/output/images/img_47.png_rows/row_3/col_0.png and b/input_output/output/images/img_47.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_47.png_rows/row_4/col_0.png b/input_output/output/images/img_47.png_rows/row_4/col_0.png index 4ad3c7c41b8754c32c8cefc511af24b94ea48e7f..1de8e259c6e8a2ffdf7cb809ef48eb66b5e7f603 100644 Binary files a/input_output/output/images/img_47.png_rows/row_4/col_0.png and b/input_output/output/images/img_47.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_47.png_rows/row_5/col_0.png b/input_output/output/images/img_47.png_rows/row_5/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..3627acce0bd01fe25bcdf58522fb3b2b2c657edd Binary files /dev/null and b/input_output/output/images/img_47.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_47.png_rows/row_6/col_0.png b/input_output/output/images/img_47.png_rows/row_6/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..16a2e007254da8dd235f92a6882c0997a9ef288b Binary files /dev/null and b/input_output/output/images/img_47.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_47.png_rows/row_7/col_0.png b/input_output/output/images/img_47.png_rows/row_7/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..87457beff221a02ca23fabd84249bb019d00b4c1 Binary files /dev/null and b/input_output/output/images/img_47.png_rows/row_7/col_0.png differ diff --git a/input_output/output/images/img_47.png_rows/row_8/col_0.png b/input_output/output/images/img_47.png_rows/row_8/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..25a84979572f8ac2efe8268a6a6748aca3c813c6 Binary files /dev/null and b/input_output/output/images/img_47.png_rows/row_8/col_0.png differ diff --git a/input_output/output/images/img_47.png_rows/row_9/col_0.png b/input_output/output/images/img_47.png_rows/row_9/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..cab63e8e99c02e839b3e995072f2c0c9b36d8a86 Binary files /dev/null and b/input_output/output/images/img_47.png_rows/row_9/col_0.png differ diff --git a/input_output/output/images/img_48.png b/input_output/output/images/img_48.png index 148a965564be536e6bb380280abcb4fe3577a68b..57bedd6d0692db946960f8c5678fc3b951cc9085 100644 Binary files a/input_output/output/images/img_48.png and b/input_output/output/images/img_48.png differ diff --git a/input_output/output/images/img_48.png_rows/row_0/col_0.png b/input_output/output/images/img_48.png_rows/row_0/col_0.png index cb8c2daccfe05cb77fe0aeb86f9551e983307ba0..3d8576352d80d149cdae73ae6778a49d1bf350a5 100644 Binary files a/input_output/output/images/img_48.png_rows/row_0/col_0.png and b/input_output/output/images/img_48.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_48.png_rows/row_0/col_1.png b/input_output/output/images/img_48.png_rows/row_0/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..d7ea7daf3c71b06042f7bafde9e199cd249ef572 Binary files /dev/null and b/input_output/output/images/img_48.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_48.png_rows/row_1/col_0.png b/input_output/output/images/img_48.png_rows/row_1/col_0.png index 8e6e2107bc5ff21e3cb782bb10d7cf727529327c..398282bef9dcd68ec7e81ef130a06a83a326c924 100644 Binary files a/input_output/output/images/img_48.png_rows/row_1/col_0.png and b/input_output/output/images/img_48.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_48.png_rows/row_1/col_1.png b/input_output/output/images/img_48.png_rows/row_1/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..0b601b452d27b5878f3c6f0a34af7f479af2b894 Binary files /dev/null and b/input_output/output/images/img_48.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_48.png_rows/row_2/col_0.png b/input_output/output/images/img_48.png_rows/row_2/col_0.png index f973a104c2f1223910f39db99a19cbbf89d90a04..5dd9c50b7d56583a2f56a7a66d94bdd6b240fb4d 100644 Binary files a/input_output/output/images/img_48.png_rows/row_2/col_0.png and b/input_output/output/images/img_48.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_48.png_rows/row_2/col_1.png b/input_output/output/images/img_48.png_rows/row_2/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..09807cc798798a0540479c49420efbc21f9c5dd3 Binary files /dev/null and b/input_output/output/images/img_48.png_rows/row_2/col_1.png differ diff --git a/input_output/output/images/img_48.png_rows/row_3/col_0.png b/input_output/output/images/img_48.png_rows/row_3/col_0.png index 824f7dc97565145bdd981062feddbecb026c6599..1be7388e93def711d81a9d3a9bb22631e0b00cd6 100644 Binary files a/input_output/output/images/img_48.png_rows/row_3/col_0.png and b/input_output/output/images/img_48.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_48.png_rows/row_3/col_1.png b/input_output/output/images/img_48.png_rows/row_3/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..7f344325bfcb516c2461f3d2e6a6a6091777a4cb Binary files /dev/null and b/input_output/output/images/img_48.png_rows/row_3/col_1.png differ diff --git a/input_output/output/images/img_5.png b/input_output/output/images/img_5.png index e5f15b2926b355a6ba83bbcbf10590899f80dc45..d7ca5161e57b8e027f0330ccc6ca34d07639688d 100644 Binary files a/input_output/output/images/img_5.png and b/input_output/output/images/img_5.png differ diff --git a/input_output/output/images/img_5.png_rows/row_0/col_0.png b/input_output/output/images/img_5.png_rows/row_0/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..6c0c7e98fda00438cfaf3e97719f8de4aca0913f Binary files /dev/null and b/input_output/output/images/img_5.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_5.png_rows/row_1/col_0.png b/input_output/output/images/img_5.png_rows/row_1/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..54f0000b30c38fa2460806171703cdc8c762d74b Binary files /dev/null and b/input_output/output/images/img_5.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_5.png_rows/row_2/col_0.png b/input_output/output/images/img_5.png_rows/row_2/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..faa4ddf739b45208c8b215b0230cc59436ce0b73 Binary files /dev/null and b/input_output/output/images/img_5.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_5.png_rows/row_3/col_0.png b/input_output/output/images/img_5.png_rows/row_3/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..9760f858e82f6c1d9635fd9f905d85b490ac8cd3 Binary files /dev/null and b/input_output/output/images/img_5.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_5.png_rows/row_4/col_0.png b/input_output/output/images/img_5.png_rows/row_4/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..4415e195056f41eaca59bb052cd8861505826616 Binary files /dev/null and b/input_output/output/images/img_5.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_6.png b/input_output/output/images/img_6.png index d1136c6ec94dcede46ceebc1a50675767ca50e50..707af7f564136c101c03762e5acbe317a908b235 100644 Binary files a/input_output/output/images/img_6.png and b/input_output/output/images/img_6.png differ diff --git a/input_output/output/images/img_6.png_rows/row_0/col_0.png b/input_output/output/images/img_6.png_rows/row_0/col_0.png index 55fdf0cc473851a61ad3d7fb4b1b2dafde67966b..a1e663887ef11a028f92e2a3e2cac309772534bc 100644 Binary files a/input_output/output/images/img_6.png_rows/row_0/col_0.png and b/input_output/output/images/img_6.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_6.png_rows/row_1/col_0.png b/input_output/output/images/img_6.png_rows/row_1/col_0.png index c7bce6f517a14afff66dfa8df16d8c4f87eed9b0..54ae78222acdc3c54ec22737ca1a94ffe5226b38 100644 Binary files a/input_output/output/images/img_6.png_rows/row_1/col_0.png and b/input_output/output/images/img_6.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_6.png_rows/row_2/col_0.png b/input_output/output/images/img_6.png_rows/row_2/col_0.png index d347e9997a821a3cbe25d55da5298f5cb36bae32..93f58120d22793d498535169f90410958adf5ef7 100644 Binary files a/input_output/output/images/img_6.png_rows/row_2/col_0.png and b/input_output/output/images/img_6.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_6.png_rows/row_3/col_0.png b/input_output/output/images/img_6.png_rows/row_3/col_0.png index a7edd24b9ad65b8d133f9b8633031d13517de654..d445671b7cb858a6769ad68dde5e33413605d36e 100644 Binary files a/input_output/output/images/img_6.png_rows/row_3/col_0.png and b/input_output/output/images/img_6.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_6.png_rows/row_4/col_0.png b/input_output/output/images/img_6.png_rows/row_4/col_0.png index dda779a366f90248a32792d135a85e65cc932397..8e0824701cd65a1af3ce0db12c91c12b1f2a7a95 100644 Binary files a/input_output/output/images/img_6.png_rows/row_4/col_0.png and b/input_output/output/images/img_6.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_6.png_rows/row_5/col_0.png b/input_output/output/images/img_6.png_rows/row_5/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..9453c4479cf927f3871dd0e3d090abb04a197bc5 Binary files /dev/null and b/input_output/output/images/img_6.png_rows/row_5/col_0.png differ diff --git a/input_output/output/images/img_6.png_rows/row_6/col_0.png b/input_output/output/images/img_6.png_rows/row_6/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..0099c452d09c502350052ba2137266edb2d13c67 Binary files /dev/null and b/input_output/output/images/img_6.png_rows/row_6/col_0.png differ diff --git a/input_output/output/images/img_7.png b/input_output/output/images/img_7.png index ba3ea2a7627df08a54824b945fe822cfe168400f..80b9e8ef39e779b7e87006aaf9b6149ef67a8005 100644 Binary files a/input_output/output/images/img_7.png and b/input_output/output/images/img_7.png differ diff --git a/input_output/output/images/img_7.png_rows/row_0/col_0.png b/input_output/output/images/img_7.png_rows/row_0/col_0.png index 246566cdc91ac362cb222fd87ed467512bded6f7..3c5b2440ec10bf6c8ecb3763c7217c2971ae2196 100644 Binary files a/input_output/output/images/img_7.png_rows/row_0/col_0.png and b/input_output/output/images/img_7.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_7.png_rows/row_0/col_1.png b/input_output/output/images/img_7.png_rows/row_0/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..0a01eb97939baa9ba725391612093918e14a1cef Binary files /dev/null and b/input_output/output/images/img_7.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_7.png_rows/row_1/col_0.png b/input_output/output/images/img_7.png_rows/row_1/col_0.png index 0f7164dd1bb9edd66c0d3f1bccbd9001c933a499..a3fed90d6535a9a54caf2d386d6ff54b21956982 100644 Binary files a/input_output/output/images/img_7.png_rows/row_1/col_0.png and b/input_output/output/images/img_7.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_7.png_rows/row_1/col_1.png b/input_output/output/images/img_7.png_rows/row_1/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..7cc0b4be82a8c374043e462b0e0e3044defaff12 Binary files /dev/null and b/input_output/output/images/img_7.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_8.png b/input_output/output/images/img_8.png index b04bff99059820c3397a20fdbbadf5558dda64ab..32aff2335390ce0d69390066ec3e23d06d540596 100644 Binary files a/input_output/output/images/img_8.png and b/input_output/output/images/img_8.png differ diff --git a/input_output/output/images/img_8.png_rows/row_0/col_0.png b/input_output/output/images/img_8.png_rows/row_0/col_0.png index 7868d8724b864ea2b40a148f93ab09e74da234ce..b9daca8820847089338fad518fa021684ef3c02f 100644 Binary files a/input_output/output/images/img_8.png_rows/row_0/col_0.png and b/input_output/output/images/img_8.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_8.png_rows/row_0/col_1.png b/input_output/output/images/img_8.png_rows/row_0/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..a31db811665b03a128052dd3d04ebf30d0b610a1 Binary files /dev/null and b/input_output/output/images/img_8.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_8.png_rows/row_1/col_0.png b/input_output/output/images/img_8.png_rows/row_1/col_0.png index b04e786a6830cc961f37ae7d93583d734ba7231b..0a210fae2e27eac9863fc16d5ffdbf0a9be5d92a 100644 Binary files a/input_output/output/images/img_8.png_rows/row_1/col_0.png and b/input_output/output/images/img_8.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_8.png_rows/row_1/col_1.png b/input_output/output/images/img_8.png_rows/row_1/col_1.png new file mode 100644 index 0000000000000000000000000000000000000000..c72847c2f0b8e23810db5666ceb8330041c4f80c Binary files /dev/null and b/input_output/output/images/img_8.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_8.png_rows/row_2/col_0.png b/input_output/output/images/img_8.png_rows/row_2/col_0.png index c9b8682b6441edab09dea84bcbe5ce023cc76284..e2cb60a9476e749b4390f7d307be6ddc51b3eeaa 100644 Binary files a/input_output/output/images/img_8.png_rows/row_2/col_0.png and b/input_output/output/images/img_8.png_rows/row_2/col_0.png differ diff --git a/input_output/output/images/img_8.png_rows/row_3/col_0.png b/input_output/output/images/img_8.png_rows/row_3/col_0.png index a16defb9177b38e90378b632c3a9d0c90029e949..c3a1ff4c000d18a4014a42b64da9c472353b32e7 100644 Binary files a/input_output/output/images/img_8.png_rows/row_3/col_0.png and b/input_output/output/images/img_8.png_rows/row_3/col_0.png differ diff --git a/input_output/output/images/img_8.png_rows/row_4/col_0.png b/input_output/output/images/img_8.png_rows/row_4/col_0.png index 066623070920addc2847ae14b0bf6322fa264782..8ec01bd3be972a0a9130ce5af1379b14803a488d 100644 Binary files a/input_output/output/images/img_8.png_rows/row_4/col_0.png and b/input_output/output/images/img_8.png_rows/row_4/col_0.png differ diff --git a/input_output/output/images/img_9.png b/input_output/output/images/img_9.png index a64e0f1ac48c6edc180e2f128347a94bda760de6..bcee34c1f543b49dccadbfce57b1867c3036d69b 100644 Binary files a/input_output/output/images/img_9.png and b/input_output/output/images/img_9.png differ diff --git a/input_output/output/images/img_9.png_rows/row_0/col_0.png b/input_output/output/images/img_9.png_rows/row_0/col_0.png index 89e913c42dfb6bbc021f668a8e25b2a91d8a7895..7c7c8b452ac1f78d5d9c1cb2f25a685e7cb4a97f 100644 Binary files a/input_output/output/images/img_9.png_rows/row_0/col_0.png and b/input_output/output/images/img_9.png_rows/row_0/col_0.png differ diff --git a/input_output/output/images/img_9.png_rows/row_0/col_1.png b/input_output/output/images/img_9.png_rows/row_0/col_1.png index 0388229256c3325d728ed9b8ad9c683940dc43f0..71a38d1f15bcfc4377b8a51c59a70681b5834f32 100644 Binary files a/input_output/output/images/img_9.png_rows/row_0/col_1.png and b/input_output/output/images/img_9.png_rows/row_0/col_1.png differ diff --git a/input_output/output/images/img_9.png_rows/row_1/col_0.png b/input_output/output/images/img_9.png_rows/row_1/col_0.png index eece6d1fe11464358b7c7c9ffb20827ba38d3dad..7dc48303c668225e5bec2f9507a265e0ddd2a440 100644 Binary files a/input_output/output/images/img_9.png_rows/row_1/col_0.png and b/input_output/output/images/img_9.png_rows/row_1/col_0.png differ diff --git a/input_output/output/images/img_9.png_rows/row_1/col_1.png b/input_output/output/images/img_9.png_rows/row_1/col_1.png index 38a09260f541eeaa4fa5fe9cb7cb64ca0625f1b8..39acf910973296a6cfa0057c2f6e5863e449ede6 100644 Binary files a/input_output/output/images/img_9.png_rows/row_1/col_1.png and b/input_output/output/images/img_9.png_rows/row_1/col_1.png differ diff --git a/input_output/output/images/img_9.png_rows/row_2/col_0.png b/input_output/output/images/img_9.png_rows/row_2/col_0.png new file mode 100644 index 0000000000000000000000000000000000000000..7724cd1b3af270d3a07fbe9c34f36236b4c8629d Binary files /dev/null and b/input_output/output/images/img_9.png_rows/row_2/col_0.png differ diff --git a/mineru_topic_extraction.log b/mineru_topic_extraction.log new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/selective_pdf_extractor.log b/selective_pdf_extractor.log new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391