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a.languages.reason.function,function(e){e.languages.sass=e.languages.extend("css",{comment:{pattern:/^([ \t]*)\/[\/*].*(?:(?:\r?\n|\r)\1[ \t].+)*/m,lookbehind:!0,greedy:!0}}),e.languages.insertBefore("sass","atrule",{"atrule-line":{pattern:/^(?:[ \t]*)[@+=].+/m,greedy:!0,inside:{atrule:/(?:@[\w-]+|[+=])/}}}),delete e.languages.sass.atrule;var t=/\$[-\w]+|#\{\$[-\w]+\}/,n=[/[+*\/%]|[=!]=|<=?|>=?|\b(?:and|not|or)\b/,{pattern:/(\s)-(?=\s)/,lookbehind:!0}];e.languages.insertBefore("sass","property",{"variable-line":{pattern:/^[ \t]*\$.+/m,greedy:!0,inside:{punctuation:/:/,variable:t,operator:n}},"property-line":{pattern:/^[ \t]*(?:[^:\s]+ *:.*|:[^:\s].*)/m,greedy:!0,inside:{property:[/[^:\s]+(?=\s*:)/,{pattern:/(:)[^:\s]+/,lookbehind:!0}],punctuation:/:/,variable:t,operator:n,important:e.languages.sass.important}}}),delete e.languages.sass.property,delete e.languages.sass.important,e.languages.insertBefore("sass","punctuation",{selector:{pattern:/^([ 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o=a},7248:e=>{e.exports&&(e.exports={core:{meta:{path:"components/prism-core.js",option:"mandatory"},core:"Core"},themes:{meta:{path:"themes/{id}.css",link:"index.html?theme={id}",exclusive:!0},prism:{title:"Default",option:"default"},"prism-dark":"Dark","prism-funky":"Funky","prism-okaidia":{title:"Okaidia",owner:"ocodia"},"prism-twilight":{title:"Twilight",owner:"remybach"},"prism-coy":{title:"Coy",owner:"tshedor"},"prism-solarizedlight":{title:"Solarized Light",owner:"hectormatos2011 "},"prism-tomorrow":{title:"Tomorrow 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    + + \ No newline at end of file diff --git a/blog/bharatvarsha/index.html b/blog/bharatvarsha/index.html index d794fa51..120e0fe9 100644 --- a/blog/bharatvarsha/index.html +++ b/blog/bharatvarsha/index.html @@ -28,13 +28,13 @@ - - + +
    -
    For more updates follow@AkashSingh3031.
    PrepVerse
    The History of Bharatvarsha
    Founder, PrepVerse
    4 min read

    The History of Bharatvarsha

    Introduction:​

    Bharatvarsha, known today as India, is a land of ancient civilizations, diverse cultures, and rich heritage. Its history, stretching back to the mythical ages of Satyug, is a fascinating tapestry woven with legends, stories, and historical events. In this blog, we embark on a journey through the annals of time, exploring the history of Bharatvarsha from Satyug to the modern era.

    Satyug: The Age of Truth and Virtue​

    According to Hindu cosmology, Satyug, the first of the four Yugas (ages), is characterized by truth, righteousness, and spiritual enlightenment. It is believed to be an era of purity and harmony, where humanity lived in harmony with nature and the divine. While historical evidence for Satyug is scarce, it forms the foundational mythos of Indian civilization, inspiring spiritual and philosophical traditions that endure to this day.

    Treta Yuga: The Age of Sacred Epics​

    Following Satyug comes Treta Yuga, the second age, marked by the advent of sacred epics such as the Ramayana and the Mahabharata. These timeless narratives, filled with heroic deeds, moral dilemmas, and divine interventions, continue to shape the cultural landscape of Bharatvarsha. The Ramayana chronicles the life and exploits of Lord Rama, while the Mahabharata recounts the epic Kurukshetra War and the teachings of Lord Krishna.

    Dvapara Yuga: The Age of Epic Battles and Divine Incarnations​

    Dvapara Yuga, the third age, witnesses the descent of divine incarnations (avatars) such as Lord Krishna, who plays a central role in the Mahabharata. The age is characterized by epic battles, royal lineages, and the gradual decline of dharma (righteousness). The Bhagavad Gita, a sacred text embedded within the Mahabharata, imparts timeless wisdom on duty, morality, and the path to spiritual liberation.

    Kali Yuga: The Age of Darkness and Spiritual Decline​

    The current age, Kali Yuga, is regarded as an era of spiritual decline, moral degradation, and societal upheaval. While Kali Yuga is often associated with darkness and chaos, it also offers opportunities for spiritual growth and redemption. Despite its challenges, Bharatvarsha has continued to preserve its spiritual heritage, philosophical traditions, and cultural diversity through the centuries.

    Ancient Civilizations and Empires​

    Throughout antiquity, Bharatvarsha was home to flourishing civilizations, including the Indus Valley Civilization, which thrived along the banks of the Indus River in present-day Pakistan. The Maurya Empire, Gupta Empire, and other dynasties left indelible imprints on the land, contributing to advancements in science, mathematics, art, and literature.

    Medieval Dynasties and Cultural Flourishing​

    The medieval period witnessed the rise of powerful dynasties such as the Cholas, Chalukyas, and Rashtrakutas in South India, and the Delhi Sultanate in the north. This era saw the synthesis of diverse cultural influences, including Hindu, Buddhist, and Islamic traditions, resulting in architectural marvels, literary masterpieces, and vibrant artistic expressions.

    Colonial Rule and Independence Struggle​

    The arrival of European powers, particularly the British East India Company, heralded a new chapter in Bharatvarsha's history. Colonial rule brought profound changes to Indian society, economy, and politics, sparking movements for independence and self-determination. Visionaries such as Mahatma Gandhi, Jawaharlal Nehru, and Subhas Chandra Bose spearheaded the struggle for freedom, leading to India's independence in 1947.

    Modern India and Beyond​

    Since gaining independence, India has emerged as a vibrant democracy, a global economic powerhouse, and a cultural hub. Its journey from a colonial past to a sovereign nation is a testament to the resilience, diversity, and dynamism of Bharatvarsha. Today, India stands at the crossroads of tradition and modernity, embracing technological innovations while cherishing its ancient wisdom and cultural heritage.

    Conclusion:​

    The history of Bharatvarsha is a saga of resilience, endurance, and transformation, spanning millennia of civilization, conquests, and cultural exchanges. From the mythical realms of Satyug to the complexities of the modern era, India's journey reflects the aspirations, struggles, and triumphs of its people. As we navigate the currents of time, may we continue to cherish and honor the legacy of Bharatvarsha, a land of infinite possibilities and timeless wisdom.

    Related Articles

    The Complete Life Cycle of Creator God Brahma

    Exploring the Complete Life Cycle of Brahma & the Age of the Universe According to Vedas

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    PrepVerse
    The History of Bharatvarsha
    Founder, PrepVerse
    4 min read

    The History of Bharatvarsha

    Introduction:​

    Bharatvarsha, known today as India, is a land of ancient civilizations, diverse cultures, and rich heritage. Its history, stretching back to the mythical ages of Satyug, is a fascinating tapestry woven with legends, stories, and historical events. In this blog, we embark on a journey through the annals of time, exploring the history of Bharatvarsha from Satyug to the modern era.

    Satyug: The Age of Truth and Virtue​

    According to Hindu cosmology, Satyug, the first of the four Yugas (ages), is characterized by truth, righteousness, and spiritual enlightenment. It is believed to be an era of purity and harmony, where humanity lived in harmony with nature and the divine. While historical evidence for Satyug is scarce, it forms the foundational mythos of Indian civilization, inspiring spiritual and philosophical traditions that endure to this day.

    Treta Yuga: The Age of Sacred Epics​

    Following Satyug comes Treta Yuga, the second age, marked by the advent of sacred epics such as the Ramayana and the Mahabharata. These timeless narratives, filled with heroic deeds, moral dilemmas, and divine interventions, continue to shape the cultural landscape of Bharatvarsha. The Ramayana chronicles the life and exploits of Lord Rama, while the Mahabharata recounts the epic Kurukshetra War and the teachings of Lord Krishna.

    Dvapara Yuga: The Age of Epic Battles and Divine Incarnations​

    Dvapara Yuga, the third age, witnesses the descent of divine incarnations (avatars) such as Lord Krishna, who plays a central role in the Mahabharata. The age is characterized by epic battles, royal lineages, and the gradual decline of dharma (righteousness). The Bhagavad Gita, a sacred text embedded within the Mahabharata, imparts timeless wisdom on duty, morality, and the path to spiritual liberation.

    Kali Yuga: The Age of Darkness and Spiritual Decline​

    The current age, Kali Yuga, is regarded as an era of spiritual decline, moral degradation, and societal upheaval. While Kali Yuga is often associated with darkness and chaos, it also offers opportunities for spiritual growth and redemption. Despite its challenges, Bharatvarsha has continued to preserve its spiritual heritage, philosophical traditions, and cultural diversity through the centuries.

    Ancient Civilizations and Empires​

    Throughout antiquity, Bharatvarsha was home to flourishing civilizations, including the Indus Valley Civilization, which thrived along the banks of the Indus River in present-day Pakistan. The Maurya Empire, Gupta Empire, and other dynasties left indelible imprints on the land, contributing to advancements in science, mathematics, art, and literature.

    Medieval Dynasties and Cultural Flourishing​

    The medieval period witnessed the rise of powerful dynasties such as the Cholas, Chalukyas, and Rashtrakutas in South India, and the Delhi Sultanate in the north. This era saw the synthesis of diverse cultural influences, including Hindu, Buddhist, and Islamic traditions, resulting in architectural marvels, literary masterpieces, and vibrant artistic expressions.

    Colonial Rule and Independence Struggle​

    The arrival of European powers, particularly the British East India Company, heralded a new chapter in Bharatvarsha's history. Colonial rule brought profound changes to Indian society, economy, and politics, sparking movements for independence and self-determination. Visionaries such as Mahatma Gandhi, Jawaharlal Nehru, and Subhas Chandra Bose spearheaded the struggle for freedom, leading to India's independence in 1947.

    Modern India and Beyond​

    Since gaining independence, India has emerged as a vibrant democracy, a global economic powerhouse, and a cultural hub. Its journey from a colonial past to a sovereign nation is a testament to the resilience, diversity, and dynamism of Bharatvarsha. Today, India stands at the crossroads of tradition and modernity, embracing technological innovations while cherishing its ancient wisdom and cultural heritage.

    Conclusion:​

    The history of Bharatvarsha is a saga of resilience, endurance, and transformation, spanning millennia of civilization, conquests, and cultural exchanges. From the mythical realms of Satyug to the complexities of the modern era, India's journey reflects the aspirations, struggles, and triumphs of its people. As we navigate the currents of time, may we continue to cherish and honor the legacy of Bharatvarsha, a land of infinite possibilities and timeless wisdom.

    Related Articles

    The Complete Life Cycle of Creator God Brahma

    Exploring the Complete Life Cycle of Brahma & the Age of the Universe According to Vedas

    Loading Comments...
    + + \ No newline at end of file diff --git a/blog/feed.json b/blog/feed.json index ab3a4272..6c5a0d6f 100644 --- a/blog/feed.json +++ b/blog/feed.json @@ -4,6 +4,21 @@ "home_page_url": "https://prepverse.github.io/blog", "description": "PrepVerse Blog", "items": [ + { + "id": "https://prepverse.github.io/blog/two-sum", + "content_html": "

    PrepVerse | Three Approaches to Solving the Two Sum Problem​

    Approach 1: Brute Force​

    Algorithm:

    The brute force approach is straightforward. Loop through each element x in the array and check if there is another element that equals target - x.

    Implementation:

    • Python
    Brute Force
    def two_sum_brute_force(nums, target):
        n = len(nums)
        for i in range(n):
            for j in range(i + 1, n):
                if nums[i] + nums[j] == target:
                    return [i, j]
        return None

    Complexity Analysis:

    • Time Complexity: O(n²)
      • For each element, we loop through the rest of the array to find its complement, resulting in O(n) operations per element. Hence, the overall time complexity is O(n²).
    • Space Complexity: O(1)
      • The space required does not depend on the size of the input array, so only constant space is used.

    Approach 2: Two-pass Hash Table​

    Intuition:

    To improve our runtime complexity, we need a more efficient way to check if the complement exists in the array. A hash table is well-suited for this purpose because it supports fast lookups in near constant time. By trading space for speed, we can reduce the lookup time from O(n) to O(1).

    Algorithm:

    1. In the first iteration, add each element's value as a key and its index as a value to the hash table.
    2. In the second iteration, check if each element's complement (target - nums[i]) exists in the hash table. If it does, return the current element's index and its complement's index.

    Implementation:

    • Python
    Two-pass Hash Table
    def two_sum_two_pass_hash_table(nums, target):
        hash_table = {}
        for i, num in enumerate(nums):
            hash_table[num] = i
        
        for i, num in enumerate(nums):
            complement = target - num
            if complement in hash_table and hash_table[complement] != i:
                return [i, hash_table[complement]]
        return None

    Complexity Analysis:

    • Time Complexity: O(n)
      • We traverse the list containing n elements exactly twice. Since the hash table reduces the lookup time to O(1), the overall time complexity is O(n).
    • Space Complexity: O(n)
      • The extra space required depends on the number of items stored in the hash table, which stores exactly n elements.

    Approach 3: One-pass Hash Table​

    Algorithm:

    We can optimize further by performing the lookup and insertion in a single pass. While iterating through the array, we check if the current element's complement already exists in the hash table. If it does, we have found a solution and return the indices immediately.

    Implementation:

    • Python
    One-pass Hash Table
    def two_sum_one_pass_hash_table(nums, target):
        hash_table = {}
        for i, num in enumerate(nums):
            complement = target - num
            if complement in hash_table:
                return [hash_table[complement], i]
            hash_table[num] = i
        return None

    Complexity Analysis:

    • Time Complexity: O(n)
      • We traverse the list containing n elements only once. Each lookup in the table costs only O(1) time.
    • Space Complexity: O(n)
      • The extra space required depends on the number of items stored in the hash table, which stores at most n elements.

    Conclusion​

    In summary, the brute force approach is simple but inefficient, with a time complexity of O(n²). The two-pass hash table approach improves the time complexity to O(n) by utilizing extra space for a hash table. The one-pass hash table approach further optimizes the solution by combining lookup and insertion into a single pass, maintaining an overall time complexity of O(n) and space complexity of O(n). Depending on the constraints and requirements of your problem, choosing the right approach can significantly improve performance.

    ", + "url": "https://prepverse.github.io/blog/two-sum", + "title": "Two Sum Explained", + "summary": "DSA problem two sum explained", + "date_modified": "2024-08-07T00:00:00.000Z", + "author": { + "name": "Akash Singh" + }, + "tags": [ + "Array", + "LeetCode" + ] + }, { "id": "https://prepverse.github.io/blog/god-brahma", "content_html": "

    Exploring the Complete Life Cycle of Creator God Brahma & the Age of the Universe According to Vedas:​

    • The lifespan of Brahma (creator god) is described in profound terms, reflecting the intricate cycles of creation and dissolution that govern the universe. Here's a breakdown of Brahma's lifespan and the cosmic rhythms associated with it:

    100 Years (Lifespan: 2 Parardhas) of Brahma:​

    1. Brahma's Lifespan: Brahma, the creator god, lives for 100 of his years.
    2. Each Year Structure: A Brahmaic year consists of 360 days and nights.
    3. Total Duration: The total duration of Brahma's life is 311.04 trillion human years.

    50 Years (Parardhas) of Brahma:​

    1. Parardha Definition: Brahma's 100-year life is divided into two 50-year periods, each known as a Parardha.
    2. In a Maha-Kalpa: In a 100-year Maha-Kalpa, there are a total of 36,000 full days. This includes 36,000 Kalpas (days proper) and 36,000 Pralayas (nights).

    1 Year of Brahma:​

    1. Each Year Structure: A Brahmaic year consists of 12 months.
    2. Duration: 3.1104 trillion human years.

    1 Month of Brahma:​

    1. Each Month Structure: A Brahmaic month consists of 30 days (Kalpa) & nights (Pralaya).
      A list of 30 kalpa (days) name as mentioned in the Matsya Purana
      Kalpa Number30 Kalpa (Day) Name
      1Sveta (current day)
      2Nilalohita
      3Vamadeva
      4Rathantara
      5Raurava
      6Deva
      7Vrhat
      8Kandarpa
      9Sadya
      10Isana
      11Tamah
      12Sarasvata
      13Udana
      14Garuda
      15Kaurma
      16Narasimha
      17Samana
      18Agneya
      19Soma
      20Manava
      21Tatpuman
      22Vaikuṇṭha
      23Lakṣmi
      24Savitri
      25Aghora
      26Varaha
      27Vairaja
      28Gauri
      29Mahesvara
      30Pitr
    2. Duration: 259.2 billion human years.

    1 Day(Kalpa) and 1 Night (Pralaya) of Brahma:​

    1. Brahma's day, known as a Kalpa, lasts for 4.32 billion years.

    2. It is followed by a night, or Pralaya, of equal length.

    3. Structure of a Kalpa:

      • A Kalpa consists of 1,000 Chatur-Yugas.
      • Within a Kalpa, there are 14 Manvantaras (epochs) and 15 Manvantara-Sandhyas (transitional periods).
      • At the start of Brahma's day, creation unfolds as he is reborn, forming planets and the first living entities.
      • At the end of his day, Brahma and his creations undergo partial dissolution, entering a state of unmanifestation.

    4. Duration of kalp:

      • Started in the Past: Approximately 1.97 billion years ago.
      • Ends in the Future: Estimated to conclude in about 2.35 billion years.

      \"Structure

    Maha-Kalpa and Maha-Pralaya:​

    1. Brahma's entire lifespan is called a Maha-Kalpa, lasting for 311.04 trillion years.
    2. It is followed by a Maha-Pralaya, a period of full dissolution, lasting for an equivalent length.
    3. Prakriti, the basis of the universe, is manifest at the start and unmanifest at the end of a Maha-Kalpa.
    4. Duration of Maha-Kalpa:
      • Started in the Past: Roughly 155.52 trillion years ago.
      • Ends in the Future: Expected to conclude in about 155.52 trillion years.

    Current State within Brahma's Life Cycle:​

    \"God

    1. 51st year of 100 (2nd half or parardha).
    2. 1st month of 12.
    3. 1st kalpa/day (Shveta-Varaha Kalpa) of 30.
    • Kalpa NumberKalpa Name
      1/30Sveta-Varaha \"Structure
    1. 7th manvantara (Vaivasvatha Manu) of 14.\n\"Manavantara
    2. 28th chatur-yuga of 71.\n\"Chatur-yuga
    3. 4th yuga (Kali-yuga) of 4.\n\"Kali-yuga

    Start date of current Kali Yuga:​

    • According to the Surya Siddhanta, Kali Yuga began at midnight (00:00) on 18 February 3102 BCE. This sacred date also aligns with the departure of Lord Krishna from the earthly realm, returning to the divine abode of Vaikuntha. The sanctity of this moment is memorialized at the temple of Bhalka, the very site of this celestial event.
    • The significance of 18th February 3102 BCE extends beyond a mere astronomical calculation; it marks the end of Dvapara Yuga and the initiation of the current age of Kali Yuga. This transition holds profound spiritual and cultural importance, intertwining cosmic time with the divine narrative of Lord Krishna's departure.\n\"BHALKA\"

    • Current Age of Kali Yuga:​

      • The current age of Kali-Yuga is 5126 years from midnight (00:00) on 18 February 3102 BCE to 18th February 2024.
    Calculating Brahma's 100 Years into Human Years

    Let's break down Brahma's 100-year lifespan into human years step by step:

    Basic Conversion Factors:​

    • 100 years = 1 * 100 years
      • 1 year = 12 months
      • 1 month = 30 days (kalpa) + 30 nights (pralaya)
    • 100 years = 36,000 days (kalpa) + 36,000 nights (pralaya)

    Yuga Structure:​

    • 1 day (kalpa) = 14 manvantara + 15 manvantara-sandhya
    • 1 night (pralaya) = 14 manvantara + 15 manvantara-sandhya
    • 1 manvantara = 71 chatur-yuga
    • 1 manvantara-sandhya = 1 satya-yuga
    • 1 chatur-yuga = 1 satya(krta)-yuga + 1 treta-yuga + 1 dvapara-yuga + 1 kali-yuga
      • 1 satya-yuga = 4 * 1 kali-yuga
      • 1 treta-yuga = 3 * 1 kali-yuga
      • 1 dvapara-yuga = 2 * 1 kali-yuga
      • 1 kali-yuga = 432,000 human years

    Yuga Duration:​

    • 1 kali-yuga = 4,32,000 human years
    • 1 chatur-yuga = (4+3+2+1) kali-yuga
             = 10 kali-yuga
    • 1 manvantara = 71 chatur-yuga
             = 71 x 10 kali-yuga
             = 710 kali-yuga
    • 1 manvantara-sandhya = 1 satya-yuga
                 = 4 kali-yuga
    • 1 day (kalpa) = 14 manvantara + 15 manvantara-sandhya
             = 14 x 710 kali-yuga + 15 x 4 kali-yuga
             = (9940 + 60) kali-yuga
             = 10,000 kali-yuga
    • 1 night (pralaya) = 14 manvantara + 15 manvantara-sandhya
              = 14 x 710 kali-yuga + 15 x 4 kali-yuga
              = (9940 + 60) kali-yuga
              = 10,000 kali-yuga

    Conversion:​

    • 100 years = 36,000 days (kalpa) + 36,000 nights (pralaya)
           = 2 x 36,000 x 10,000 kali-yuga
           = 720,000,000 kali-yuga
           = 720,000,000 x 4,32,000 human years
           = 311,040,000,000,000 human years

    This calculation shows that Brahma's 100-year lifespan equates to a staggering 311,040,000,000,000 human years in Hindu cosmology.

    -tip Current Exact Date & Time of Creator God Brahma with respect to 100 years of Brahma

    Setting the Stage: Current Time​

    As per the given parameters:

    • Current Year of 100            = 50 (Completed) + 1 (current year)
    • Current month of 12           = 1
    • Current day(Kalpa) of 30         = 1
    • Current manvantara of 14         = 6 (Completed) + 1(current)
    • Current manvantara-sandhya of 15     = 7 (Completed)
    • Current chatur-yuga of 71        = 27 (Completed) + 1(current)
    • Current yuga of 4            = 4 (Kali-yuga)
    • Current kali-yuga time (in Human years) = 5126 years

    Thus, the current date is:--> DD/MM/YYYY = 01/01/51.

    God Brahma's Time Scale:​

    Human TimeGod Bramha Time
    311,040,000,000,000 yr100 yr
    4,32,000 yr4.32 sec
    1,00,000 yr1 sec
    1 yr10 micro-sec
    36 days1 micro-sec

    Calculations:​

    • Total human years in 6 manvantara = 6 x 710 kali-yuga
                        = 4260 kali-yuga
                        = 4260 x 432,000
                        = 1,840,320,000 human year
    • Total human years in 7 manvantara-sandhya = 7 x 4 kali-yuga
                            = 28 kali-yuga
                            = 28 x 432,000
                            = 12,096,000 human year
    • Total human years in 27 chatur-yuga = 27 x 10 kali-yuga
                        = 270 kali-yuga
                        = 270 x 432,000
                        = 1,166,440,000 human year
    • Total human years in 9 kali-yuga + 5126 years = 9 x 4,32,000 + 5126
                            = 3,888,000 + 5126
                            = 3,93,126 human years

    Current kalpa total time = 1,840,320,000 + 12,096,000 + 1,166,440,000 + 3,93,126
    \n            = 3,019,249,126 human years
    \n            = 3019249126/100000 brahma seconds
    \n            = 30192.49126 brahma seconds

    Conversion to Time Format:​

    • Total Time Elapsed: 30192.49126 seconds
      • 503.208188 minutes
      • 8 hours, 23.208188 minutes
      • 8 hours, 23 minutes, 12.49128 seconds
      • 8 hours, 23 minutes, 12 seconds, 491280 micro-seconds
    God Brahma's curremt Date and Time:
    • Date = 01 January 51
    • Time = 08:23:12:491280 AM

    In Human Time:​

    18 February 2024

    Time Scales Between Humans and Brahma in Hindu Cosmology​

    Time Scales Between Humans and Brahma in Hindu Cosmology
    Time Scales Between Humans and Brahma in Hindu Cosmology:
    UnitDefinitionHumanBrahma
    Maha-kalpa36,000 kalpa & pralaya311,040,000,000,000
    (311.04 trillion) yr    		100 yr
    Maha-pralaya36,000 kalpa & pralaya311,040,000,000,000
    (311.04 trillion) yr    		100 yr
    Parardha1⁄2 Maha-kalpa155,520,000,000,000
    (155.52 trillion) yr    		50 yr
    Kalpa14 manvantara + 15 manvantara-sandhya4,320,000,000
    (4.32 billion) yr    		12 hr
    Pralaya14 manvantara + 15 manvantara-sandhya4,320,000,000
    (4.32 billion) yr    		12 hr
    Manvantara71 Catur-yuga306,720,000 yr51.12 min
    Manvantara-sandhya1 Satya-yuga length1,728,000 yr17.28 s
    Catur-yugaSatya(Krta), Treta, Dvapara & Kali-yugas4,320,000 yr43.20 s
    Satya(Krta)-yuga4 Kali-yugas length1,728,000 yr17.28 s
    Treta-yuga3 Kali-yugas length1,296,000 yr12.96 s
    Dvapara-yuga2 Kali-yugas length864,000 yr8.64 s
    Kali-yuga1 Kali-yugas length432,000 yr4.32 s
    ", diff --git a/blog/god-brahma/index.html b/blog/god-brahma/index.html index 74db0200..f963fac2 100644 --- a/blog/god-brahma/index.html +++ b/blog/god-brahma/index.html @@ -28,20 +28,20 @@ - - + +
    -
    For more updates follow@AkashSingh3031.
    PrepVerse
    The Complete Life Cycle of Creator God Brahma
    Founder, PrepVerse
    9 min read

    The Complete Life Cycle of Creator God Brahma

    Exploring the Complete Life Cycle of Creator God Brahma & the Age of the Universe According to Vedas:​

    • The lifespan of Brahma (creator god) is described in profound terms, reflecting the intricate cycles of creation and dissolution that govern the universe. Here's a breakdown of Brahma's lifespan and the cosmic rhythms associated with it:

    100 Years (Lifespan: 2 Parardhas) of Brahma:​

    1. Brahma's Lifespan: Brahma, the creator god, lives for 100 of his years.
    2. Each Year Structure: A Brahmaic year consists of 360 days and nights.
    3. Total Duration: The total duration of Brahma's life is 311.04 trillion human years.

    50 Years (Parardhas) of Brahma:​

    1. Parardha Definition: Brahma's 100-year life is divided into two 50-year periods, each known as a Parardha.
    2. In a Maha-Kalpa: In a 100-year Maha-Kalpa, there are a total of 36,000 full days. This includes 36,000 Kalpas (days proper) and 36,000 Pralayas (nights).

    1 Year of Brahma:​

    1. Each Year Structure: A Brahmaic year consists of 12 months.
    2. Duration: 3.1104 trillion human years.

    1 Month of Brahma:​

    1. Each Month Structure: A Brahmaic month consists of 30 days (Kalpa) & nights (Pralaya).
      A list of 30 kalpa (days) name as mentioned in the Matsya Purana
      Kalpa Number30 Kalpa (Day) Name
      1Sveta (current day)
      2Nilalohita
      3Vamadeva
      4Rathantara
      5Raurava
      6Deva
      7Vrhat
      8Kandarpa
      9Sadya
      10Isana
      11Tamah
      12Sarasvata
      13Udana
      14Garuda
      15Kaurma
      16Narasimha
      17Samana
      18Agneya
      19Soma
      20Manava
      21Tatpuman
      22Vaikuṇṭha
      23Lakṣmi
      24Savitri
      25Aghora
      26Varaha
      27Vairaja
      28Gauri
      29Mahesvara
      30Pitr
    2. Duration: 259.2 billion human years.

    1 Day(Kalpa) and 1 Night (Pralaya) of Brahma:​

    1. Brahma's day, known as a Kalpa, lasts for 4.32 billion years.

    2. It is followed by a night, or Pralaya, of equal length.

    3. Structure of a Kalpa:

      • A Kalpa consists of 1,000 Chatur-Yugas.
      • Within a Kalpa, there are 14 Manvantaras (epochs) and 15 Manvantara-Sandhyas (transitional periods).
      • At the start of Brahma's day, creation unfolds as he is reborn, forming planets and the first living entities.
      • At the end of his day, Brahma and his creations undergo partial dissolution, entering a state of unmanifestation.

    4. Duration of kalp:

      • Started in the Past: Approximately 1.97 billion years ago.
      • Ends in the Future: Estimated to conclude in about 2.35 billion years.

      Structure of current kalpa

    Maha-Kalpa and Maha-Pralaya:​

    1. Brahma's entire lifespan is called a Maha-Kalpa, lasting for 311.04 trillion years.
    2. It is followed by a Maha-Pralaya, a period of full dissolution, lasting for an equivalent length.
    3. Prakriti, the basis of the universe, is manifest at the start and unmanifest at the end of a Maha-Kalpa.
    4. Duration of Maha-Kalpa:
      • Started in the Past: Roughly 155.52 trillion years ago.
      • Ends in the Future: Expected to conclude in about 155.52 trillion years.

    Current State within Brahma's Life Cycle:​

    God Brahma&#39;s Lifecycle

    1. 51st year of 100 (2nd half or parardha).
    2. 1st month of 12.
    3. 1st kalpa/day (Shveta-Varaha Kalpa) of 30.
    • Kalpa NumberKalpa Name
      1/30Sveta-Varaha Structure of current kalpa
    1. 7th manvantara (Vaivasvatha Manu) of 14. +
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      The Complete Life Cycle of Creator God Brahma
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      9 min read

      The Complete Life Cycle of Creator God Brahma

      Exploring the Complete Life Cycle of Creator God Brahma & the Age of the Universe According to Vedas:​

      • The lifespan of Brahma (creator god) is described in profound terms, reflecting the intricate cycles of creation and dissolution that govern the universe. Here's a breakdown of Brahma's lifespan and the cosmic rhythms associated with it:

      100 Years (Lifespan: 2 Parardhas) of Brahma:​

      1. Brahma's Lifespan: Brahma, the creator god, lives for 100 of his years.
      2. Each Year Structure: A Brahmaic year consists of 360 days and nights.
      3. Total Duration: The total duration of Brahma's life is 311.04 trillion human years.

      50 Years (Parardhas) of Brahma:​

      1. Parardha Definition: Brahma's 100-year life is divided into two 50-year periods, each known as a Parardha.
      2. In a Maha-Kalpa: In a 100-year Maha-Kalpa, there are a total of 36,000 full days. This includes 36,000 Kalpas (days proper) and 36,000 Pralayas (nights).

      1 Year of Brahma:​

      1. Each Year Structure: A Brahmaic year consists of 12 months.
      2. Duration: 3.1104 trillion human years.

      1 Month of Brahma:​

      1. Each Month Structure: A Brahmaic month consists of 30 days (Kalpa) & nights (Pralaya).
        A list of 30 kalpa (days) name as mentioned in the Matsya Purana
        Kalpa Number30 Kalpa (Day) Name
        1Sveta (current day)
        2Nilalohita
        3Vamadeva
        4Rathantara
        5Raurava
        6Deva
        7Vrhat
        8Kandarpa
        9Sadya
        10Isana
        11Tamah
        12Sarasvata
        13Udana
        14Garuda
        15Kaurma
        16Narasimha
        17Samana
        18Agneya
        19Soma
        20Manava
        21Tatpuman
        22Vaikuṇṭha
        23Lakṣmi
        24Savitri
        25Aghora
        26Varaha
        27Vairaja
        28Gauri
        29Mahesvara
        30Pitr
      2. Duration: 259.2 billion human years.

      1 Day(Kalpa) and 1 Night (Pralaya) of Brahma:​

      1. Brahma's day, known as a Kalpa, lasts for 4.32 billion years.

      2. It is followed by a night, or Pralaya, of equal length.

      3. Structure of a Kalpa:

        • A Kalpa consists of 1,000 Chatur-Yugas.
        • Within a Kalpa, there are 14 Manvantaras (epochs) and 15 Manvantara-Sandhyas (transitional periods).
        • At the start of Brahma's day, creation unfolds as he is reborn, forming planets and the first living entities.
        • At the end of his day, Brahma and his creations undergo partial dissolution, entering a state of unmanifestation.

      4. Duration of kalp:

        • Started in the Past: Approximately 1.97 billion years ago.
        • Ends in the Future: Estimated to conclude in about 2.35 billion years.

        Structure of current kalpa

      Maha-Kalpa and Maha-Pralaya:​

      1. Brahma's entire lifespan is called a Maha-Kalpa, lasting for 311.04 trillion years.
      2. It is followed by a Maha-Pralaya, a period of full dissolution, lasting for an equivalent length.
      3. Prakriti, the basis of the universe, is manifest at the start and unmanifest at the end of a Maha-Kalpa.
      4. Duration of Maha-Kalpa:
        • Started in the Past: Roughly 155.52 trillion years ago.
        • Ends in the Future: Expected to conclude in about 155.52 trillion years.

      Current State within Brahma's Life Cycle:​

      God Brahma&#39;s Lifecycle

      1. 51st year of 100 (2nd half or parardha).
      2. 1st month of 12.
      3. 1st kalpa/day (Shveta-Varaha Kalpa) of 30.
      • Kalpa NumberKalpa Name
        1/30Sveta-Varaha Structure of current kalpa
      1. 7th manvantara (Vaivasvatha Manu) of 14. Manavantara duration
      2. 28th chatur-yuga of 71. Chatur-yuga duration
      3. 4th yuga (Kali-yuga) of 4. Kali-yuga duration

      Start date of current Kali Yuga:​

      • According to the Surya Siddhanta, Kali Yuga began at midnight (00:00) on 18 February 3102 BCE. This sacred date also aligns with the departure of Lord Krishna from the earthly realm, returning to the divine abode of Vaikuntha. The sanctity of this moment is memorialized at the temple of Bhalka, the very site of this celestial event.
      • The significance of 18th February 3102 BCE extends beyond a mere astronomical calculation; it marks the end of Dvapara Yuga and the initiation of the current age of Kali Yuga. This transition holds profound spiritual and cultural importance, intertwining cosmic time with the divine narrative of Lord Krishna's departure. BHALKA

      • Current Age of Kali Yuga:​

        • The current age of Kali-Yuga is 5126 years from midnight (00:00) on 18 February 3102 BCE to 18th February 2024.
      Calculating Brahma's 100 Years into Human Years

      Let's break down Brahma's 100-year lifespan into human years step by step:

      Basic Conversion Factors:​

      • 100 years = 1 * 100 years
        • 1 year = 12 months
        • 1 month = 30 days (kalpa) + 30 nights (pralaya)
      • 100 years = 36,000 days (kalpa) + 36,000 nights (pralaya)

      Yuga Structure:​

      • 1 day (kalpa) = 14 manvantara + 15 manvantara-sandhya
      • 1 night (pralaya) = 14 manvantara + 15 manvantara-sandhya
      • 1 manvantara = 71 chatur-yuga
      • 1 manvantara-sandhya = 1 satya-yuga
      • 1 chatur-yuga = 1 satya(krta)-yuga + 1 treta-yuga + 1 dvapara-yuga + 1 kali-yuga
        • 1 satya-yuga = 4 * 1 kali-yuga
        • 1 treta-yuga = 3 * 1 kali-yuga
        • 1 dvapara-yuga = 2 * 1 kali-yuga
        • 1 kali-yuga = 432,000 human years

      Yuga Duration:​

      • 1 kali-yuga = 4,32,000 human years
      • 1 chatur-yuga = (4+3+2+1) kali-yuga
               = 10 kali-yuga
      • 1 manvantara = 71 chatur-yuga
               = 71 x 10 kali-yuga
               = 710 kali-yuga
      • 1 manvantara-sandhya = 1 satya-yuga
                   = 4 kali-yuga
      • 1 day (kalpa) = 14 manvantara + 15 manvantara-sandhya
               = 14 x 710 kali-yuga + 15 x 4 kali-yuga
               = (9940 + 60) kali-yuga
               = 10,000 kali-yuga
      • 1 night (pralaya) = 14 manvantara + 15 manvantara-sandhya
                = 14 x 710 kali-yuga + 15 x 4 kali-yuga
                = (9940 + 60) kali-yuga
                = 10,000 kali-yuga

      Conversion:​

      • 100 years = 36,000 days (kalpa) + 36,000 nights (pralaya)
             = 2 x 36,000 x 10,000 kali-yuga
             = 720,000,000 kali-yuga
             = 720,000,000 x 4,32,000 human years
             = 311,040,000,000,000 human years

      This calculation shows that Brahma's 100-year lifespan equates to a staggering 311,040,000,000,000 human years in Hindu cosmology.

      -tip Current Exact Date & Time of Creator God Brahma with respect to 100 years of Brahma

      Setting the Stage: Current Time​

      As per the given parameters:

      • Current Year of 100            = 50 (Completed) + 1 (current year)
      • Current month of 12           = 1
      • Current day(Kalpa) of 30         = 1
      • Current manvantara of 14         = 6 (Completed) + 1(current)
      • Current manvantara-sandhya of 15     = 7 (Completed)
      • Current chatur-yuga of 71        = 27 (Completed) + 1(current)
      • Current yuga of 4            = 4 (Kali-yuga)
      • Current kali-yuga time (in Human years) = 5126 years

      Thus, the current date is:--> DD/MM/YYYY = 01/01/51.

      God Brahma's Time Scale:​

      Human TimeGod Bramha Time
      311,040,000,000,000 yr100 yr
      4,32,000 yr4.32 sec
      1,00,000 yr1 sec
      1 yr10 micro-sec
      36 days1 micro-sec

      Calculations:​

      • Total human years in 6 manvantara = 6 x 710 kali-yuga
                          = 4260 kali-yuga
                          = 4260 x 432,000
                          = 1,840,320,000 human year
      • Total human years in 7 manvantara-sandhya = 7 x 4 kali-yuga
                              = 28 kali-yuga
                              = 28 x 432,000
                              = 12,096,000 human year
      • Total human years in 27 chatur-yuga = 27 x 10 kali-yuga
                          = 270 kali-yuga
                          = 270 x 432,000
                          = 1,166,440,000 human year
      • Total human years in 9 kali-yuga + 5126 years = 9 x 4,32,000 + 5126
                              = 3,888,000 + 5126
                              = 3,93,126 human years

      Current kalpa total time = 1,840,320,000 + 12,096,000 + 1,166,440,000 + 3,93,126
                  = 3,019,249,126 human years
                  = 3019249126/100000 brahma seconds
      -            = 30192.49126 brahma seconds

      Conversion to Time Format:​

      • Total Time Elapsed: 30192.49126 seconds
        • 503.208188 minutes
        • 8 hours, 23.208188 minutes
        • 8 hours, 23 minutes, 12.49128 seconds
        • 8 hours, 23 minutes, 12 seconds, 491280 micro-seconds
      God Brahma's curremt Date and Time:
      • Date = 01 January 51
      • Time = 08:23:12:491280 AM

      In Human Time:​

      18 February 2024

      Time Scales Between Humans and Brahma in Hindu Cosmology​

      Time Scales Between Humans and Brahma in Hindu Cosmology
      Time Scales Between Humans and Brahma in Hindu Cosmology:
      UnitDefinitionHumanBrahma
      Maha-kalpa36,000 kalpa & pralaya311,040,000,000,000
      (311.04 trillion) yr      		100 yr
      Maha-pralaya36,000 kalpa & pralaya311,040,000,000,000
      (311.04 trillion) yr      		100 yr
      Parardha1⁄2 Maha-kalpa155,520,000,000,000
      (155.52 trillion) yr      		50 yr
      Kalpa14 manvantara + 15 manvantara-sandhya4,320,000,000
      (4.32 billion) yr      		12 hr
      Pralaya14 manvantara + 15 manvantara-sandhya4,320,000,000
      (4.32 billion) yr      		12 hr
      Manvantara71 Catur-yuga306,720,000 yr51.12 min
      Manvantara-sandhya1 Satya-yuga length1,728,000 yr17.28 s
      Catur-yugaSatya(Krta), Treta, Dvapara & Kali-yugas4,320,000 yr43.20 s
      Satya(Krta)-yuga4 Kali-yugas length1,728,000 yr17.28 s
      Treta-yuga3 Kali-yugas length1,296,000 yr12.96 s
      Dvapara-yuga2 Kali-yugas length864,000 yr8.64 s
      Kali-yuga1 Kali-yugas length432,000 yr4.32 s

      Related Articles

      The History of Bharatvarsha

      A Journey Through the History of Bharatvarsha from Satyug

      Loading Comments...
    - - +            = 30192.49126 brahma seconds

    Conversion to Time Format:​

    • Total Time Elapsed: 30192.49126 seconds
      • 503.208188 minutes
      • 8 hours, 23.208188 minutes
      • 8 hours, 23 minutes, 12.49128 seconds
      • 8 hours, 23 minutes, 12 seconds, 491280 micro-seconds
    God Brahma's curremt Date and Time:
    • Date = 01 January 51
    • Time = 08:23:12:491280 AM

    In Human Time:​

    18 February 2024

    Time Scales Between Humans and Brahma in Hindu Cosmology​

    Time Scales Between Humans and Brahma in Hindu Cosmology
    Time Scales Between Humans and Brahma in Hindu Cosmology:
    UnitDefinitionHumanBrahma
    Maha-kalpa36,000 kalpa & pralaya311,040,000,000,000
    (311.04 trillion) yr    		100 yr
    Maha-pralaya36,000 kalpa & pralaya311,040,000,000,000
    (311.04 trillion) yr    		100 yr
    Parardha1⁄2 Maha-kalpa155,520,000,000,000
    (155.52 trillion) yr    		50 yr
    Kalpa14 manvantara + 15 manvantara-sandhya4,320,000,000
    (4.32 billion) yr    		12 hr
    Pralaya14 manvantara + 15 manvantara-sandhya4,320,000,000
    (4.32 billion) yr    		12 hr
    Manvantara71 Catur-yuga306,720,000 yr51.12 min
    Manvantara-sandhya1 Satya-yuga length1,728,000 yr17.28 s
    Catur-yugaSatya(Krta), Treta, Dvapara & Kali-yugas4,320,000 yr43.20 s
    Satya(Krta)-yuga4 Kali-yugas length1,728,000 yr17.28 s
    Treta-yuga3 Kali-yugas length1,296,000 yr12.96 s
    Dvapara-yuga2 Kali-yugas length864,000 yr8.64 s
    Kali-yuga1 Kali-yugas length432,000 yr4.32 s

    Related Articles

    The History of Bharatvarsha

    A Journey Through the History of Bharatvarsha from Satyug

    Loading Comments...
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    Approach 1: Brute Force​

    Algorithm:

    The brute force approach is straightforward. Loop through each element x in the array and check if there is another element that equals target - x.

    Implementation:

    Brute Force
    def two_sum_brute_force(nums, target):
        n = len(nums)
        for i in range(n):
            for j in range(i + 1, n):
                if nums[i] + nums[j] == target:
                    return [i, j]
        return None

    Complexity Analysis:

    • Time Complexity: O(n²)
      • For each element, we loop through the rest of the array to find its complement, resulting in O(n) operations per element. Hence, the overall time complexity is O(n²).
    • Space Complexity: O(1)
      • The space required does not depend on the size of the input array, so only constant space is used.

    Approach 2: Two-pass Hash Table​

    Intuition:

    To improve our runtime complexity, we need a more efficient way to check if the complement exists in the array. A hash table is well-suited for this purpose because it supports fast lookups in near constant time. By trading space for speed, we can reduce the lookup time from O(n) to O(1).

    Algorithm:

    1. In the first iteration, add each element's value as a key and its index as a value to the hash table.
    2. In the second iteration, check if each element's complement (target - nums[i]) exists in the hash table. If it does, return the current element's index and its complement's index.

    Implementation:

    Two-pass Hash Table
    def two_sum_two_pass_hash_table(nums, target):
        hash_table = {}
        for i, num in enumerate(nums):
            hash_table[num] = i
        
        for i, num in enumerate(nums):
            complement = target - num
            if complement in hash_table and hash_table[complement] != i:
                return [i, hash_table[complement]]
        return None

    Complexity Analysis:

    • Time Complexity: O(n)
      • We traverse the list containing n elements exactly twice. Since the hash table reduces the lookup time to O(1), the overall time complexity is O(n).
    • Space Complexity: O(n)
      • The extra space required depends on the number of items stored in the hash table, which stores exactly n elements.

    Approach 3: One-pass Hash Table​

    Algorithm:

    We can optimize further by performing the lookup and insertion in a single pass. While iterating through the array, we check if the current element's complement already exists in the hash table. If it does, we have found a solution and return the indices immediately.

    Implementation:

    One-pass Hash Table
    def two_sum_one_pass_hash_table(nums, target):
        hash_table = {}
        for i, num in enumerate(nums):
            complement = target - num
            if complement in hash_table:
                return [hash_table[complement], i]
            hash_table[num] = i
        return None

    Complexity Analysis:

    • Time Complexity: O(n)
      • We traverse the list containing n elements only once. Each lookup in the table costs only O(1) time.
    • Space Complexity: O(n)
      • The extra space required depends on the number of items stored in the hash table, which stores at most n elements.

    Conclusion​

    In summary, the brute force approach is simple but inefficient, with a time complexity of O(n²). The two-pass hash table approach improves the time complexity to O(n) by utilizing extra space for a hash table. The one-pass hash table approach further optimizes the solution by combining lookup and insertion into a single pass, maintaining an overall time complexity of O(n) and space complexity of O(n). Depending on the constraints and requirements of your problem, choosing the right approach can significantly improve performance.

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    Two Sum Explained
    Founder, PrepVerse
    3 min read

    Two Sum Explained

    PrepVerse | Three Approaches to Solving the Two Sum Problem​

    Approach 1: Brute Force​

    Algorithm:

    The brute force approach is straightforward. Loop through each element x in the array and check if there is another element that equals target - x.

    Implementation:

    Brute Force
    def two_sum_brute_force(nums, target):
        n = len(nums)
        for i in range(n):
            for j in range(i + 1, n):
                if nums[i] + nums[j] == target:
                    return [i, j]
        return None

    Complexity Analysis:

    • Time Complexity: O(n²)
      • For each element, we loop through the rest of the array to find its complement, resulting in O(n) operations per element. Hence, the overall time complexity is O(n²).
    • Space Complexity: O(1)
      • The space required does not depend on the size of the input array, so only constant space is used.

    Approach 2: Two-pass Hash Table​

    Intuition:

    To improve our runtime complexity, we need a more efficient way to check if the complement exists in the array. A hash table is well-suited for this purpose because it supports fast lookups in near constant time. By trading space for speed, we can reduce the lookup time from O(n) to O(1).

    Algorithm:

    1. In the first iteration, add each element's value as a key and its index as a value to the hash table.
    2. In the second iteration, check if each element's complement (target - nums[i]) exists in the hash table. If it does, return the current element's index and its complement's index.

    Implementation:

    Two-pass Hash Table
    def two_sum_two_pass_hash_table(nums, target):
        hash_table = {}
        for i, num in enumerate(nums):
            hash_table[num] = i
        
        for i, num in enumerate(nums):
            complement = target - num
            if complement in hash_table and hash_table[complement] != i:
                return [i, hash_table[complement]]
        return None

    Complexity Analysis:

    • Time Complexity: O(n)
      • We traverse the list containing n elements exactly twice. Since the hash table reduces the lookup time to O(1), the overall time complexity is O(n).
    • Space Complexity: O(n)
      • The extra space required depends on the number of items stored in the hash table, which stores exactly n elements.

    Approach 3: One-pass Hash Table​

    Algorithm:

    We can optimize further by performing the lookup and insertion in a single pass. While iterating through the array, we check if the current element's complement already exists in the hash table. If it does, we have found a solution and return the indices immediately.

    Implementation:

    One-pass Hash Table
    def two_sum_one_pass_hash_table(nums, target):
        hash_table = {}
        for i, num in enumerate(nums):
            complement = target - num
            if complement in hash_table:
                return [hash_table[complement], i]
            hash_table[num] = i
        return None

    Complexity Analysis:

    • Time Complexity: O(n)
      • We traverse the list containing n elements only once. Each lookup in the table costs only O(1) time.
    • Space Complexity: O(n)
      • The extra space required depends on the number of items stored in the hash table, which stores at most n elements.

    Conclusion​

    In summary, the brute force approach is simple but inefficient, with a time complexity of O(n²). The two-pass hash table approach improves the time complexity to O(n) by utilizing extra space for a hash table. The one-pass hash table approach further optimizes the solution by combining lookup and insertion into a single pass, maintaining an overall time complexity of O(n) and space complexity of O(n). Depending on the constraints and requirements of your problem, choosing the right approach can significantly improve performance.

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    1.DS.Algo

    Introductio to Array

    An array is a basic data structure to store a collection of elements sequentially. But elements can be accessed randomly since each element in the array can be identified by an array index.

    An array can have one or more dimensions. Here we start with the one-dimensional array, which is also called the linear array. Here is an example:

    In the above example, there are 6 elements in array A. That is to say, the length of A is 6. We can use A[0] to represent the first element in the array. Therefore, A[0] = 6. Similarly, A[1] = 3, A[2] = 8 and so on.

    Operations in Array +

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    1.DS.Algo

    Introductio to Array

    An array is a basic data structure to store a collection of elements sequentially. But elements can be accessed randomly since each element in the array can be identified by an array index.

    An array can have one or more dimensions. Here we start with the one-dimensional array, which is also called the linear array. Here is an example:

    In the above example, there are 6 elements in array A. That is to say, the length of A is 6. We can use A[0] to represent the first element in the array. Therefore, A[0] = 6. Similarly, A[1] = 3, A[2] = 8 and so on.

    Operations in Array Let's take a look at the usage of the array.

    Array
    #include <iostream>

    int main() {
        // 1. Initialize
        int a0[5];
        int a1[5] = {1, 2, 3};  // other element will be set as the default value
        // 2. Get Length
        int size = sizeof(a1) / sizeof(*a1);
        cout << "The size of a1 is: " << size << endl;
        // 3. Access Element
        cout << "The first element is: " << a1[0] << endl;
        // 4. Iterate all Elements
        cout << "[Version 1] The contents of a1 are:";
        for (int i = 0; i < size; ++i) {
            cout << " " << a1[i];
        }
        cout << endl;
        cout << "[Version 2] The contents of a1 are:";
        for (int& item: a1) {
            cout << " " << item;
        }
        cout << endl;
        // 5. Modify Element
        a1[0] = 4;
        // 6. Sort
        sort(a1, a1 + size);
    }
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    Foundation

    Overview

    Unlock a Treasure Trove of Knowledge with Our Comprehensive Repository!

    Are you ready to embark on a journey of learning and discovery? Look no further than our repository, a rich and diverse resource designed to equip you with the tools and knowledge you need to succeed in the world of computer science and beyond.

    Programming Challenges and MCQs:

    Put your skills to the test with a wide range of programming challenges, multiple-choice questions (MCQs), puzzles, aptitude questions, and reasoning problems. Explore diverse problem domains and languages, including C++, Python, Java, and JavaScript, and sharpen your coding proficiency while tackling real-world scenarios and algorithmic puzzles.

    -tip Data Structures and Algorithms (DSA):

    Delve into the fascinating world of Data Structures and Algorithms with our meticulously curated collection. Explore essential topics such as arrays, linked lists, trees, graphs, sorting algorithms, and more. Dive deep into renowned resources like the 450 DSA by Love Babbar, Striver DSA sheet, and Apna College DSA Sheet, providing you with a comprehensive understanding of fundamental concepts and problem-solving techniques.

    Technical Subjects:

    Expand your horizons with in-depth coverage of essential technical subjects, including Operating Systems, Database Management Systems (DBMS), SQL, Computer Networks, and Object-Oriented Programming (OOP). Gain insights into the core principles and practices that underpin modern computing systems, empowering you to build robust, scalable, and efficient software solutions.

    System Design:

    Unleash your creativity and analytical skills with captivating System Design materials for both Low-Level Design (LLD) and High-Level Design (HLD). Learn how to architect scalable and resilient systems that meet the demands of today's complex and dynamic environments, while honing your problem-solving abilities and design intuition.

    Continuous Learning and Growth:

    At our repository, learning is a never-ending journey fueled by curiosity, exploration, and collaboration. Stay updated with the latest trends, developments, and best practices in the world of technology, and join a vibrant community of learners, educators, and industry professionals dedicated to sharing knowledge, insights, and experiences.

    Conclusion

    Whether you're a seasoned professional seeking to expand your skill set or a budding enthusiast eager to explore the frontiers of technology, our repository offers something for everyone. So, what are you waiting for? Dive into a world of endless possibilities and unlock the treasure trove of knowledge that awaits you. Together, let's embark on a journey of learning, growth, and transformation. 🚀🌐💡

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    Python Foundation
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    Foundation

    Overview

    Unlock a Treasure Trove of Knowledge with Our Comprehensive Repository!

    Are you ready to embark on a journey of learning and discovery? Look no further than our repository, a rich and diverse resource designed to equip you with the tools and knowledge you need to succeed in the world of computer science and beyond.

    Programming Challenges and MCQs:

    Put your skills to the test with a wide range of programming challenges, multiple-choice questions (MCQs), puzzles, aptitude questions, and reasoning problems. Explore diverse problem domains and languages, including C++, Python, Java, and JavaScript, and sharpen your coding proficiency while tackling real-world scenarios and algorithmic puzzles.

    -tip Data Structures and Algorithms (DSA):

    Delve into the fascinating world of Data Structures and Algorithms with our meticulously curated collection. Explore essential topics such as arrays, linked lists, trees, graphs, sorting algorithms, and more. Dive deep into renowned resources like the 450 DSA by Love Babbar, Striver DSA sheet, and Apna College DSA Sheet, providing you with a comprehensive understanding of fundamental concepts and problem-solving techniques.

    Technical Subjects:

    Expand your horizons with in-depth coverage of essential technical subjects, including Operating Systems, Database Management Systems (DBMS), SQL, Computer Networks, and Object-Oriented Programming (OOP). Gain insights into the core principles and practices that underpin modern computing systems, empowering you to build robust, scalable, and efficient software solutions.

    System Design:

    Unleash your creativity and analytical skills with captivating System Design materials for both Low-Level Design (LLD) and High-Level Design (HLD). Learn how to architect scalable and resilient systems that meet the demands of today's complex and dynamic environments, while honing your problem-solving abilities and design intuition.

    Continuous Learning and Growth:

    At our repository, learning is a never-ending journey fueled by curiosity, exploration, and collaboration. Stay updated with the latest trends, developments, and best practices in the world of technology, and join a vibrant community of learners, educators, and industry professionals dedicated to sharing knowledge, insights, and experiences.

    Conclusion

    Whether you're a seasoned professional seeking to expand your skill set or a budding enthusiast eager to explore the frontiers of technology, our repository offers something for everyone. So, what are you waiting for? Dive into a world of endless possibilities and unlock the treasure trove of knowledge that awaits you. Together, let's embark on a journey of learning, growth, and transformation. 🚀🌐💡

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    Python Foundation
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    Foundation

    Comments in Python

    In Python, comments play a crucial role in making your code understandable and maintainable. Let's explore how comments can be utilized effectively in your Python scripts:

    1. Explanation and Clarity:

      • Comments are used to explain Python code, making it easier for others (and your future self!) to understand the purpose and functionality of different parts of the code.
      • They enhance readability by providing context and explanations for complex algorithms, functions, or logic.

    2. Readability Improvement:

      • Comments help in making the code more readable by breaking down complex sections into understandable components.
      • They act as signposts, guiding readers through the logic and structure of the code.

    3. Execution Control:

      • Comments can temporarily disable or prevent execution of specific lines or blocks of code, which is useful for debugging and testing purposes.
      • By commenting out certain sections, you can isolate problematic code or focus on specific areas during testing without altering the rest of the program.

    Creating Comments:​

    Comments in Python start with the '#' symbol, indicating that anything following it on the same line is a comment and will be ignored by the Python interpreter.

    single_Line.py
    # This is a comment in Python.
    print("Hello, World!")

    Multi-Line Comments:​

    While Python does not have a built-in syntax for multi-line comments, there are alternative methods to achieve the same effect:

    1. Using '#' for Each Line:
      • Insert '#' at the beginning of each line to create a multi-line comment.
    multi_Line.py
    # This way we can
    # Write comments in 
    # Multiple lines. 
    print("Hello, World!")
    1. Using Multiline String:
      • Although not intended for comments, you can utilize triple quotes (""" or ''') to create a multiline string and place your comment inside it.
    multi_Line.py
    """
    Another way to write
    comments in more than one
    Line.
    """
    print("Hello, World!")
    • Since Python ignores string literals that are not assigned to a variable, this method effectively serves as a way to add multi-line comments to your code.

    Note:

    • We can achieve multi-line comments by using single triple quotes (''') or double triple quotes ("""), both serving the purpose of creating a multiline string to store comments.

    With a clear understanding of Python comments and their importance, you can now write more readable, understandable, and well-documented code!

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    Foundation

    Comments in Python

    In Python, comments play a crucial role in making your code understandable and maintainable. Let's explore how comments can be utilized effectively in your Python scripts:

    1. Explanation and Clarity:

      • Comments are used to explain Python code, making it easier for others (and your future self!) to understand the purpose and functionality of different parts of the code.
      • They enhance readability by providing context and explanations for complex algorithms, functions, or logic.

    2. Readability Improvement:

      • Comments help in making the code more readable by breaking down complex sections into understandable components.
      • They act as signposts, guiding readers through the logic and structure of the code.

    3. Execution Control:

      • Comments can temporarily disable or prevent execution of specific lines or blocks of code, which is useful for debugging and testing purposes.
      • By commenting out certain sections, you can isolate problematic code or focus on specific areas during testing without altering the rest of the program.

    Creating Comments:​

    Comments in Python start with the '#' symbol, indicating that anything following it on the same line is a comment and will be ignored by the Python interpreter.

    single_Line.py
    # This is a comment in Python.
    print("Hello, World!")

    Multi-Line Comments:​

    While Python does not have a built-in syntax for multi-line comments, there are alternative methods to achieve the same effect:

    1. Using '#' for Each Line:
      • Insert '#' at the beginning of each line to create a multi-line comment.
    multi_Line.py
    # This way we can
    # Write comments in 
    # Multiple lines. 
    print("Hello, World!")
    1. Using Multiline String:
      • Although not intended for comments, you can utilize triple quotes (""" or ''') to create a multiline string and place your comment inside it.
    multi_Line.py
    """
    Another way to write
    comments in more than one
    Line.
    """
    print("Hello, World!")
    • Since Python ignores string literals that are not assigned to a variable, this method effectively serves as a way to add multi-line comments to your code.

    Note:

    • We can achieve multi-line comments by using single triple quotes (''') or double triple quotes ("""), both serving the purpose of creating a multiline string to store comments.

    With a clear understanding of Python comments and their importance, you can now write more readable, understandable, and well-documented code!

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    Variable and Data Types

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    Variable and Data Types

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    Foundation

    Getting Started

    Welcome to our Python 3 tutorial! Whether you're new to programming or looking to expand your skills, Python is an excellent language to learn. In this tutorial, we'll cover the basics of Python 3, the current recommended version. While Python 2 still exists in some legacy codebases, Python 3 is the preferred choice for new projects due to its improvements and ongoing support.

    Why Python 3?​

    Python 3 brings several enhancements over Python 2, including improved Unicode support, better syntax, and various library updates. It's designed to be more intuitive and efficient, making it an excellent choice for beginners and experienced developers alike.

    Setting Up Your Environment​

    To start coding in Python, you need a text editor or an Integrated Development Environment (IDE). For beginners, a simple text editor will do, but as your projects grow, you might want to switch to more feature-rich IDEs like PyCharm, or Visual Studio Code.

    Here's how you can set up your environment:

    1. Install Python 3: Visit the official Python website at python.org and download the latest version of Python 3 for your operating system. Follow the installation instructions provided.

    2. Choose a Text Editor or IDE: You can use any text editor like Notepad++ (for Windows), Atom, Sublime Text, or Vim. For a more integrated experience, consider using IDEs like PyCharm, or Visual Studio Code.

    3. Verify Your Installation: Open a terminal or command prompt and type python3 --version to check if Python 3 is installed correctly. You should see the version number displayed.

    Writing Your First Python Program​

    Now that you have your environment set up, let's write a simple Python program. Open your text editor or IDE and follow along:

    hello.py
    # My First Python Program
    print("Hello, Python!")

    Save this file with a .py extension, for example, hello.py. Then, open a terminal or command prompt, navigate to the directory where you saved your file, and run the program by typing python3 hello.py. You should see Hello, Python! printed to the console.

    🎉 Congratulations! You've written and executed your first Python program.

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    PrepVerseDocs
    Foundation

    Getting Started

    Welcome to our Python 3 tutorial! Whether you're new to programming or looking to expand your skills, Python is an excellent language to learn. In this tutorial, we'll cover the basics of Python 3, the current recommended version. While Python 2 still exists in some legacy codebases, Python 3 is the preferred choice for new projects due to its improvements and ongoing support.

    Why Python 3?​

    Python 3 brings several enhancements over Python 2, including improved Unicode support, better syntax, and various library updates. It's designed to be more intuitive and efficient, making it an excellent choice for beginners and experienced developers alike.

    Setting Up Your Environment​

    To start coding in Python, you need a text editor or an Integrated Development Environment (IDE). For beginners, a simple text editor will do, but as your projects grow, you might want to switch to more feature-rich IDEs like PyCharm, or Visual Studio Code.

    Here's how you can set up your environment:

    1. Install Python 3: Visit the official Python website at python.org and download the latest version of Python 3 for your operating system. Follow the installation instructions provided.

    2. Choose a Text Editor or IDE: You can use any text editor like Notepad++ (for Windows), Atom, Sublime Text, or Vim. For a more integrated experience, consider using IDEs like PyCharm, or Visual Studio Code.

    3. Verify Your Installation: Open a terminal or command prompt and type python3 --version to check if Python 3 is installed correctly. You should see the version number displayed.

    Writing Your First Python Program​

    Now that you have your environment set up, let's write a simple Python program. Open your text editor or IDE and follow along:

    hello.py
    # My First Python Program
    print("Hello, Python!")

    Save this file with a .py extension, for example, hello.py. Then, open a terminal or command prompt, navigate to the directory where you saved your file, and run the program by typing python3 hello.py. You should see Hello, Python! printed to the console.

    🎉 Congratulations! You've written and executed your first Python program.

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    Python Foundation

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    Introduction to Python

    Python is a widely used, general-purpose, high-level programming language. +

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    Foundation

    Introduction to Python

    Python is a widely used, general-purpose, high-level programming language. Created by Guido van Rossum in 1991 and further developed by the Python Software Foundation, Python emphasizes code readability. Its syntax allows programmers to express their concepts in fewer lines of code, enabling quick development and efficient system integration. There are two major versions of Python: Python 2 and Python 3, which have notable differences.

    Getting Started with Python Programming​

    Finding an Interpreter​

    Before diving into Python programming, you'll need an interpreter to run your programs. Here are some options:

    • Online Interpreters: Use platforms to run Python programs without installing anything locally.

    • Windows: Download Python from python.org and use IDLE (Integrated Development and Learning Environment), which comes bundled with the software.

    • Linux: Python usually comes preinstalled on popular Linux distributions like Ubuntu and Fedora. To check your Python version, open a terminal and type python.

    • macOS: macOS generally comes with Python 2.7 preinstalled. For Python 3, you'll need to download and install it from python.org.

    Features of Python Programming Language​

    Interpreted​

    • Python does not require separate compilation and execution steps like C or C++.
    • You can run Python programs directly from the source code.
    • Internally, Python converts source code into an intermediate form called bytecode, which is then translated into machine language specific to your computer.
    • No need to manage linking and loading with libraries manually.

    Platform Independent​

    • Python programs can be developed and executed on multiple operating system platforms, including Linux, Windows, macOS, Solaris, and more.

    Free and Open Source​

    • Python is free to use and distribute.

    High-Level Language​

    • Python abstracts away low-level details like memory management, allowing you to focus on solving problems rather than managing resources.

    Simple and Easy to Learn​

    • Python's syntax is closer to the English language, making it easier to learn and use.
    • The language emphasizes readability and simplicity, focusing on solving problems rather than on syntax.

    Embeddable​

    • Python can be embedded in C/C++ programs to provide scripting capabilities.

    Robust​

    • Python has exceptional handling features and built-in memory management techniques.

    Rich Library Support​

    • The Python Standard Library is extensive, following the "batteries included" philosophy. It includes modules for regular expressions, documentation generation, unit testing, threading, databases, web browsers, CGI, email, XML, HTML, WAV files, cryptography, GUI development, and more.
    • Additionally, there are many high-quality third-party libraries, such as the Python Imaging Library, for specialized tasks like image manipulation.
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    print() in Python

    The print() function in Python is used to output messages to the screen or any other standard output device.

    Syntax:​

    print.py
    print(value(s), sep=' ', end='\n', file=file, flush=flush)

    Parameters:​

    • value(s): Any value(s) you wish to print. These values will be converted to a string before being printed.
    • sep: (Optional) Specifies the separator between multiple values. Default is a space ' '.
    • end: (Optional) Specifies what to print at the end. Default is a newline '\n'.
    • file: (Optional) An object with a write method. Default is sys.stdout.
    • flush: (Optional) A boolean indicating if the output should be flushed immediately (True) or buffered (False). Default is False.

    Return Type:​

    The print() function does not return a value; it outputs the specified message to the screen or other standard output.

    Key Points:​

    • No Arguments Required: The print() function can be called without any arguments, but it requires empty parentheses to indicate a function call.
    • String Literals: Used for formatting the output.
      • \n: Adds a new line.
      • "": Prints an empty line.

    Examples:​

    Basic Usage:​

    SOURCE CODE
    print.py
    print("Welcome to PrepVerse")
    Output
    Welcome to PrepVerse

    Using \n for New Lines:​

    SOURCE CODE
    print.py
    print("PrepVerse \nLearn Python Easily")
    Output
    PrepVerse 
    Learn Python Easily

    Using end to Control End Character:​

    By default, print() ends with a newline character. You can change this using the end parameter.

    SOURCE CODE
    print.py
    # Default behavior
    print("Welcome to PrepVerse")
    print("Learn Python")

    # Custom end character
    print("Welcome to PrepVerse", end=" ** ")
    print("Learn Python")
    Output
    Welcome to PrepVerse
    Learn Python
    Welcome to PrepVerse ** Learn Python

    Using sep to Control Separator:​

    When printing multiple values, the default separator is a space. You can change this using the sep parameter.

    SOURCE CODE
    print.py
    print("Python", "is", "fun", sep="-")
    Output
    Python-is-fun

    Conclusion​

    The print() function is versatile and allows various customizations for output formatting. Understanding its parameters and how to use them effectively can significantly enhance the way you display information in Python.

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    installing dependencies
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    Programming Challenges and MCQs:

    Put your skills to the test with a wide range of programming challenges, multiple-choice questions (MCQs), puzzles, aptitude questions, and reasoning problems. Explore diverse problem domains and languages, including C++, Python, Java, and JavaScript, and sharpen your coding proficiency while tackling real-world scenarios and algorithmic puzzles.

    -tip Data Structures and Algorithms (DSA):

    Delve into the fascinating world of Data Structures and Algorithms with our meticulously curated collection. Explore essential topics such as arrays, linked lists, trees, graphs, sorting algorithms, and more. Dive deep into renowned resources like the 450 DSA by Love Babbar, Striver DSA sheet, and Apna College DSA Sheet, providing you with a comprehensive understanding of fundamental concepts and problem-solving techniques.

    Technical Subjects:

    Expand your horizons with in-depth coverage of essential technical subjects, including Operating Systems, Database Management Systems (DBMS), SQL, Computer Networks, and Object-Oriented Programming (OOP). Gain insights into the core principles and practices that underpin modern computing systems, empowering you to build robust, scalable, and efficient software solutions.

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    import App from "./src/App";
+export default App;
    installing dependencies
    installing dependencies
    + + \ No newline at end of file diff --git a/tutorial/dsa/py/index.html b/tutorial/dsa/py/index.html index 87dfdd47..55100133 100644 --- a/tutorial/dsa/py/index.html +++ b/tutorial/dsa/py/index.html @@ -28,14 +28,14 @@ - - + +
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    -tip Data Structures and Algorithms (DSA):

    Delve into the fascinating world of Data Structures and Algorithms with our meticulously curated collection. Explore essential topics such as arrays, linked lists, trees, graphs, sorting algorithms, and more. Dive deep into renowned resources like the 450 DSA by Love Babbar, Striver DSA sheet, and Apna College DSA Sheet, providing you with a comprehensive understanding of fundamental concepts and problem-solving techniques.

    Technical Subjects:

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    System Design:

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    Continuous Learning and Growth:

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    Conclusion

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    import App from "./src/App";
-export default App;
    installing dependencies
    installing dependencies
    - - +
    For more updates follow@AkashSingh3031.
    PrepVerseTutorial

    Introduction

    Unlock a Treasure Trove of Knowledge with Our Comprehensive Repository!

    Are you ready to embark on a journey of learning and discovery? Look no further than our repository, a rich and diverse resource designed to equip you with the tools and knowledge you need to succeed in the world of computer science and beyond.

    Programming Challenges and MCQs:

    Put your skills to the test with a wide range of programming challenges, multiple-choice questions (MCQs), puzzles, aptitude questions, and reasoning problems. Explore diverse problem domains and languages, including C++, Python, Java, and JavaScript, and sharpen your coding proficiency while tackling real-world scenarios and algorithmic puzzles.

    -tip Data Structures and Algorithms (DSA):

    Delve into the fascinating world of Data Structures and Algorithms with our meticulously curated collection. Explore essential topics such as arrays, linked lists, trees, graphs, sorting algorithms, and more. Dive deep into renowned resources like the 450 DSA by Love Babbar, Striver DSA sheet, and Apna College DSA Sheet, providing you with a comprehensive understanding of fundamental concepts and problem-solving techniques.

    Technical Subjects:

    Expand your horizons with in-depth coverage of essential technical subjects, including Operating Systems, Database Management Systems (DBMS), SQL, Computer Networks, and Object-Oriented Programming (OOP). Gain insights into the core principles and practices that underpin modern computing systems, empowering you to build robust, scalable, and efficient software solutions.

    System Design:

    Unleash your creativity and analytical skills with captivating System Design materials for both Low-Level Design (LLD) and High-Level Design (HLD). Learn how to architect scalable and resilient systems that meet the demands of today's complex and dynamic environments, while honing your problem-solving abilities and design intuition.

    Continuous Learning and Growth:

    At our repository, learning is a never-ending journey fueled by curiosity, exploration, and collaboration. Stay updated with the latest trends, developments, and best practices in the world of technology, and join a vibrant community of learners, educators, and industry professionals dedicated to sharing knowledge, insights, and experiences.

    Conclusion

    Whether you're a seasoned professional seeking to expand your skill set or a budding enthusiast eager to explore the frontiers of technology, our repository offers something for everyone. So, what are you waiting for? Dive into a world of endless possibilities and unlock the treasure trove of knowledge that awaits you. Together, let's embark on a journey of learning, growth, and transformation. 🚀🌐💡

    import App from "./src/App";
+export default App;
    installing dependencies
    installing dependencies
    + + \ No newline at end of file diff --git a/tutorial/index.html b/tutorial/index.html index f2d174a8..f28707d5 100644 --- a/tutorial/index.html +++ b/tutorial/index.html @@ -28,13 +28,13 @@ - - + +
    - - + + \ No newline at end of file