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To generate 100 Pythagorean triplets , I'll use the Euclidean formula for primitive Pythagorean triplets, where for positive integers \( m \) and \( n \) with \( m > n \), the triplet is given by: - \( a = m^2 - n^2 \) - \( b = 2mn \) - \( c = m^2 + n^2 \) To ensure a diverse set of triplets, I'll focus on primitive triplets (where \( a \), \( b \), and \( c \) are coprime) by choosing \( m \) and \( n \) such that they are coprime and of opposite parity (one even, one odd). I'll also include some non-primitive triplets by scaling primitive ones to reach 100 unique triplets. Below is a systematic approach to generate them. ### Approach 1. **Generate Primitive Triplets**: Iterate over pairs of \( m \) and \( n \) (with \( m > n \), coprime, opposite parity) to produce primitive triplets. 2. **Scale for Non-Primitive Triplets**: Multiply primitive triplets by small scalars (e.g., 2, 3) to generate additional triplets. 3. **Ensure 100 Triplets**: Continue generating unti...

### Table of International Boundary Lines: | **Name of Line/Boundary**   | **Between**                     | **Features/Description**                                                                 | | 17th Parallel               | South Vietnam and North Vietnam | Divided North and South Vietnam per the 1954 Geneva Accords; irrelevant after unification. | | 20th Parallel               | Libya and Sudan                 | Marks the border between Sudan and Libya.                                                | | 22nd Par...

Important Grass Lands of the World Grassland            Country/Region                    Downs                  Australia (Temperate)             Pampas              Argentina (Temperate)             Prairies                North America (Temperate)    Savannah            Africa (Tropical)                 Selvas                  South America (Tropical)         Velds                    South Africa (Temperate)          Steppe                 Europe an...

Parts of the Indian Constitution Subject Mentioned in the Part Articles in Indian Constitution Part I Union & Its Territory Article 1-4 Part II Citizenship Article 5-11 Part III Fundamental Rights Article 12-35 Part IV Directive Principles Article 36-51 Part IV A Fundamental Duties Article 51A Part V The Union Article 52-151 Part VI The States Article 152-237 Part VII Note: 7th Amendment Act, 1956 repealed Part 7 – Part VIII The Union Territories Article 239-242 Part IX The Panchayats Article 243-243O Part IX A The Municipalities Article 243P-243ZG Part IX B Co-operative Societies Article 243ZH-243ZT Part X Scheduled and Tribal Areas Article 244-244A Part XI Relation between Union & States Article 245-263 Part XII Finance, Property, Contracts and Suits Article 264-300A Part XIII Trade, Commerce and Intercourse within the territory of India Article 301-307 Part XIV Services under the Union and States Article 308-323 Part XIV A Tribunals Article 323A-323B Part XV Elections Articl...

VITAMINS Vitamins are organic compounds that are essential in very small amounts for supporting normal physiologic function. We need vitamins in our diet, because our bodies can’t synthesize them quickly enough to meet our daily needs. Vitamins have three characteristics: They are natural components of foods; usually present in very small amounts. They are essential for normal physiologic function (eg. growth, reproduction, etc). When absent from the diet, they will cause a specific deficiency. Vitamins are generally categorized into the following types Water soluble Fat soluble Water-soluble vitamins Vitamin B1 (Thiamine) Deficiency:  Symptoms include burning feet, weakness in extremities, rapid heart rate, swelling, anorexia, nausea, fatigue, and gastrointestinal problems. Toxicity:  None known. Sources: Sunflower seeds, asparagus, lettuce, mushrooms, black beans, navy beans, lentils, spinach, peas, pinto beans, lima beans, eggplant, Brussels sprouts, tomatoes, tuna, whole w...