Today I worked on the Valid Parentheses problem, a classic problem that tests stack-based problem-solving and logical thinking. The goal is simple: determine whether a string containing (), {}, and [] is valid. A string is valid when every opening bracket has the correct closing bracket, and the brackets are properly nested. I solved this using a Stack in JavaScript. Whenever an opening bracket a…
The Flydubai flight that descended thousands of feet over Saudi Arabia on September 30 has now become the subject of a far more serious investigation after United Arab Emirates authorities said the co-pilot attacked Captain Smit Machchhar with a cockpit crash axe and attempted to take control of the aircraft. What initially emerged as reports of a cockpit altercation has developed into an officia…
Brazil heads to the polls in one of the most closely watched presidential elections in Latin America, with President Luiz Inácio Lula da Silva holding a narrow advantage over Senator Flávio Bolsonaro in the final surveys before the first round. The numbers point toward a competitive contest rather than a decisive victory, however, and the most consistent message emerging from the latest polling i…
How an emperor in Constantinople tried to restore the Roman Empire and reshape the Mediterranean world By the beginning of the sixth century, the western Roman Empire no longer existed as a single imperial government. The emperor in Constantinople still ruled the eastern Roman Empire, but Italy, North Africa, Gaul, Hispania and other western territories were now controlled by different kingdoms. …
In the previous lesson, we looked at how people make economic choices. We saw that people face scarcity, operate under constraints, compare alternatives, and make decisions based on the expected costs and benefits of different options. We also introduced an idea that appears throughout economics: incentives. Incentives help explain why people change their behavior when their circumstances change,…
At the beginning of the seventh century, the ancient world was already under enormous pressure. The Roman Empire in the east, which historians often call the Byzantine Empire, had survived the fall of the western Roman Empire and remained a major power centred on Constantinople. To the east stood the Sasanian Empire, another enormous state whose political centre lay in the Iranian world. For cent…
In the previous lessons, we explored why people have to make choices, how scarcity creates trade-offs, what opportunity cost means, and how incentives influence behavior. We have been building toward an important idea that economists use constantly when analyzing decisions: marginal thinking. Marginal thinking means focusing on the additional benefit and additional cost of a decision. Instead of …
Ethiopian federal forces and allied fighters have retaken control of the main airport in Mekelle, the capital of the northern Tigray region, according to multiple sources, marking a major reversal in the rapidly changing conflict between the government and the Tigray People's Liberation Front, or TPLF. The development comes only days after Tigrayan forces seized the airport and other strategic lo…
The problem is simple to understand but great for practicing recursion. Each digit from 2 to 9 represents a set of letters, similar to the keys on a traditional phone keypad. For example, 2 maps to abc and 3 maps to def. For the input "23", the expected combinations are: ["ad","ae","af","bd","be","bf","cd","ce","cf"] 💡 Approach I first created a phoneMap object to store the letter mapping for eac…
The Group of Seven has agreed to coordinate the release of 100 million barrels of oil and refined petroleum products through the International Energy Agency in an attempt to ease severe pressure on global energy markets, with a substantial quantity of diesel to be released within the first 20 days. The decision comes as governments confront exceptionally tight fuel supplies, elevated diesel price…
Britain’s government has abandoned one of the most controversial elements of its proposed criminal justice reforms, dropping plans that would have significantly reduced the number of defendants entitled to have their cases heard by a jury. The decision follows months of opposition from lawyers, politicians, legal organisations and campaigners who warned that the proposed changes risked weakening …
How a new dynasty transformed the Islamic world and turned Baghdad into one of the great centres of knowledge in human history The seventh century had transformed the political map of the Middle East. Within little more than a century of Muhammad's death, Muslim rulers governed territories stretching from the Iberian Peninsula across North Africa, Egypt, Syria, Iraq, Iran and parts of Central Asi…
How a Frankish king built a vast western European empire, revived the idea of Roman kingship and helped shape medieval Europe After the fall of the Western Roman Empire, western Europe did not simply become a world without government, cities or civilization. The political map changed, Roman institutions weakened or transformed, and new kingdoms emerged across former Roman territory. In Gaul, whic…
How Scandinavian sailors transformed Europe through raiding, trade, migration, exploration and the creation of new kingdoms At the beginning of the ninth century, Europe was changing rapidly. The old Roman world had been transformed, new kingdoms had emerged across the former western Roman territories, Christianity had become deeply connected with political power, and Charlemagne had built one of…
Digital applications often require users to enter identity details that are already available on their documents. Manually typing this information can make the process slower and repetitive. An Aadhaar OCR API can extract available details such as name, address, date of birth, identification number, gender, and father’s name from the submitted document. Applications can use this extracted informa…
Every economic decision involves a choice between alternatives. This is one of the simplest ideas in economics, but it is also one of the most important. We have already learned that resources are scarce, that people have unlimited or continually expanding wants, and that scarcity forces individuals, businesses, and governments to make choices. Once a choice has to be made, a trade-off exists. A …
The Lord is my shepherd; I shall not want. Psalm 23:1, King James Version Understanding the Heart of Psalm 23 Psalm 23:1 is one of the most familiar passages in the Holy Bible, but its familiarity should never cause us to overlook its depth. The words, “The Lord is my shepherd; I shall not want,” contain a powerful message about trust, dependence, guidance, protection, provision, and contentment.…
How Temujin rose from a life of hardship on the Mongolian steppe to become Genghis Khan, founder of the largest contiguous land empire in history. In the early thirteenth century, much of Eurasia was divided into kingdoms, empires, sultanates and city states that often knew little about one another beyond their immediate borders. China was divided between rival powers. The Islamic world stretched…
Trust in the Lord with all thine heart; and lean not unto thine own understanding. Proverbs 3:5, King James Version The Call to Trust God Completely Proverbs 3:5 is one of the most powerful invitations to trust found in the Holy Bible. The verse speaks directly to one of the greatest struggles of human nature, our desire to understand and control everything before we are willing to trust. We natu…
Introduction Some business stories begin with a large investment, a sophisticated business plan and access to established markets. The story of MDH began under very different circumstances. In 1947, Mahashay Dharampal Gulati arrived in Delhi from Sialkot after the Partition of India with ₹1,500 and the experience of a family that had already built a business around spices. The circumstances force…
Introduction For years, India's startup and investment story has been closely associated with a relatively small group of cities. Bengaluru became synonymous with technology and venture capital, Mumbai remained one of the country's most important financial centres, and Delhi NCR developed into another major hub for startups, investors, corporate headquarters and professional talent. These cities …
Economics begins with a problem that every individual, business, government, and society must face: resources are limited, but human wants and needs are not. This basic tension is known as the fundamental economic problem. Everything else we study in economics can be connected, directly or indirectly, to this problem of scarcity and the choices that scarcity forces us to make. In the previous les…
Introduction Marketing lessons are often presented through large brands, expensive campaigns and carefully designed advertising strategies, but some of the most useful lessons can be found in ordinary places. A neighbourhood food stall can reveal more about consumer psychology than a polished presentation because the business owner is dealing with real customers, real competition and real purchas…
Development is often measured through numbers. A rising GDP, expanding cities, growing industries, better roads and increasing incomes are all considered signs of progress. Yet a society cannot be called truly developed if half of its population continues to face barriers in education, employment, healthcare, political participation and decision making. Development is not merely about creating we…
A political battle unfolding in California has placed one of the world's richest technology entrepreneurs at the center of a much larger debate about wealth, taxation, political influence and the future of the state's economy. Sergey Brin, the Google co-founder whose fortune is estimated in the hundreds of billions of dollars, has contributed approximately $102 million to an organization campaign…
Good communication sounds simple until emotions get involved. Most couples know they should talk openly, but knowing that and actually doing it are two different things. Sometimes a small conversation about being late, forgetting a message, or making weekend plans can suddenly turn into an argument. Healthy communication is not about agreeing all the time. It is about being able to say what you f…
Human life begins with needs. Food, shelter, clothing, security, education and healthcare are necessary for a dignified existence. Needs motivate individuals to work, innovate and improve their circumstances. However, there is a thin line between need and greed. When a legitimate need becomes an endless desire for accumulation, the pursuit of material well-being can gradually turn into greed. The…
Water is one of the most fundamental requirements for human survival, agriculture, industry and ecological balance. In India, however, the availability of water is highly uneven across regions and seasons. Some areas receive abundant rainfall while others face prolonged droughts. Rivers frequently cross state boundaries, creating a situation where the interests of one state may directly affect an…
Economic growth is often associated with factories, infrastructure, investment and natural resources. Yet behind every major transformation in human history lies a less visible force: innovation. From the invention of the wheel to the development of artificial intelligence, human societies have progressed by finding better ways to solve existing problems. Innovation is therefore not merely about …
India is often described as a union with a federal structure and a strong central government. This arrangement was shaped by the country's vast geographical size, social diversity and the challenges faced at the time of independence. The Constitution divided powers between the Union and the States while also giving the Union significant authority to preserve national unity. Over time, however, In…
Human civilisation has always been shaped by technologies that changed the way people communicate, work and organise society. The invention of writing preserved knowledge, the printing press expanded access to information, and electricity transformed economic and social life. The Internet represents another such transformation. It has created a digital space in which information can travel across…
Economic growth is generally expected to create employment, raise incomes and improve living standards. Yet India's development experience has often presented a puzzling situation. The economy can grow rapidly while employment does not increase at the same pace. This phenomenon, commonly described as jobless or near jobless growth, raises a fundamental question: why does an expanding economy some…
The digital revolution has changed the way people communicate, work, trade and access public services. A smartphone connected to the Internet can now function as a bank, classroom, marketplace, office and source of information. The rise of the digital economy has therefore created enormous possibilities for individuals and businesses that were previously constrained by geography, income and physi…
Agriculture has historically been at the centre of Indian civilisation. Villages, communities and local economies developed around farming, and for generations, land provided not only food but also livelihood, identity and social security. Even today, agriculture remains closely connected with the lives of millions of Indians. Yet the nature of this relationship has changed considerably. For a la…
Fiscal federalism lies at the heart of India's federal structure. The Constitution distributes taxation powers and expenditure responsibilities between the Union and the States, while also providing mechanisms for transferring resources between them. The objective is to ensure that every level of government has adequate resources to perform its constitutional responsibilities. Economic reforms an…
A classroom may appear to be a small and ordinary space, occupied by students, teachers, books and blackboards. Yet within that space, the foundations of a nation's future are quietly being created. The engineers who build its infrastructure, doctors who protect its health, administrators who implement its policies, scientists who expand its knowledge and citizens who sustain its democracy all pa…
The international order has never remained static. Alliances rise and decline, new centres of power emerge, and countries continuously adjust their foreign policies according to changing national interests. The Non-Alignment Movement emerged during the Cold War when much of the world was divided between two competing power blocs led by the United States and the Soviet Union. Newly independent cou…
Gratitude is often expressed through words, gestures and acts of kindness. Yet there is another, quieter form of gratitude that is visible not in what we say but in how we experience life. Joy can be understood as such a form. When a person is able to appreciate what life offers, find meaning in ordinary moments and share happiness with others, that person acknowledges the value of existence itse…
The image of the Indian woman has undergone a remarkable transformation. From being primarily associated with domestic responsibilities, women today are increasingly visible in universities, workplaces, businesses, public institutions, politics, science, sports and the armed forces. Legal reforms, education, urbanisation and economic development have expanded opportunities that were once largely …
Human civilisation is built upon the desire to overcome limitations. We construct bridges over rivers, fly across oceans, cultivate deserts and develop medicines against diseases. Laws created by human beings regulate how societies function, while science allows us to understand and sometimes manipulate the forces of nature. Yet there remains a fundamental boundary that civilisation cannot perman…
Social media has become one of the most powerful forces shaping contemporary society. It has changed the way people communicate, form opinions, consume information and participate in public life. A person sitting in a small town can now communicate with thousands of people across the world within seconds. Yet, behind this remarkable ability to connect lies an uncomfortable question: is social med…
Climate change is no longer a distant environmental concern. It is increasingly becoming a question of livelihoods, food security, public health, economic stability and social justice. Rising temperatures, changing rainfall patterns, extreme weather events, melting glaciers and growing water stress are already affecting societies across the world. For India, the challenge is particularly signific…
How a deadly disease crossed continents, devastated populations and transformed the economy, society, religion and politics of the medieval world. In the middle of the fourteenth century, the world was connected in ways that few people fully understood. Across Europe, towns were expanding, merchants were building fortunes, and kings were strengthening their kingdoms. Across the Mediterranean, shi…
A stylish modular kitchen is more than just beautiful cabinets—it is a carefully designed workspace that improves efficiency, organization, and daily convenience. Modern kitchens include innovative storage options, durable finishes, and layouts that make cooking more enjoyable while enhancing the overall look of your home. Finding the right modular kitchen factory near me helps ensure that every …
When people hear the word “market,” they often imagine a physical place where people buy and sell things. A vegetable market, a stock market, a shopping mall, or a street filled with small shops. But in economics, a market is much broader than a physical location. A market is a system through which buyers and sellers interact to exchange goods, services, or resources. It can exist in a physical p…
I can do all things through Christ which strengtheneth me. Philippians 4:13, King James Version Understanding the Meaning of Strength Through Christ Philippians 4:13 is one of the most quoted verses in the Holy Bible, especially when people are facing difficult goals, challenges, disappointments, or seasons of uncertainty. The words, “I can do all things through Christ which strengtheneth me,” ha…
Reaching week 21 of pregnancy can feel like entering a completely new chapter. You are now well into your second trimester, your belly may be becoming more noticeable, and you may be feeling more connected to the little baby growing inside you. For many mothers, this is also the stage when pregnancy starts feeling much more real. You may have already experienced some of the biggest early pregnanc…
Nana Patekar, one of the most distinctive and respected actors in Indian cinema, died at the age of 75 on October 8, 2026, after suffering a cardiac arrest at his residence in Dona Paula, Goa. He was taken to Manipal Hospital, where doctors attempted to revive him for around 45 minutes, but he could not be saved. The hospital confirmed cardiac arrest as the cause of death, while a medico-legal ca…
