DR. REINA REYES (The Filipina Who Proved Einstein Right)

πŸ‡΅πŸ‡­ DR. REINA REYES
(The Filipina Who Proved Einstein Right)

Imagine staring at the vast universe and thinking, "I'm going to prove that one of history's greatest geniuses got it right." That's exactly what Dr. Reina Reyes did, and she didn't just prove Einstein right. She became a rockstar in the world of astrophysics.

Picture this: Einstein proposed his theory of general relativity over a century ago, suggesting that massive objects bend the fabric of space and time. It's wild, it's mind bending, and it's been tested countless times here on Earth and within our solar system. But what about the entire cosmos? What happens when you zoom out to scales so massive that galaxies look like tiny dots? That's where Dr. Reyes comes in, armed with her brilliant mind and an insatiable curiosity about the universe.

Dr. Reyes didn't have fancy equipment handed to her on a silver platter. She worked with data from the Sloan Digital Sky Survey, one of the most ambitious astronomical surveys ever conducted. She analyzed how light from distant galaxies gets bent by the gravitational pull of massive cosmic structures. This phenomenon, called gravitational lensing, is like looking at the universe through a funhouse mirror, except the mirror is made of dark matter and the distortions tell us secrets about reality itself.

What makes her achievement absolutely thrilling is the scale. We're not talking about planets or solar systems. We're talking about structures millions of light years across. At these cosmological scales, if Einstein's equations failed, our entire understanding of the universe would crumble. The pressure? Astronomical. The stakes? Higher than the edge of the observable universe.

And guess what? Einstein's theory held up beautifully. Dr. Reyes showed that general relativity works not just in our cosmic neighborhood but across the incomprehensibly vast stretches of space and time. She basically took Einstein's century old homework and verified it on a universal scale. Talk about an academic flex!

But here's what makes Dr. Reyes truly inspiring. She represents something bigger than her achievements. As a Filipina scientist breaking barriers in a field dominated by Western institutions, she's proof that genius knows no borders. She earned her PhD from Princeton University, one of the world's most prestigious institutions, and her work has been published in top tier journals. She's lectured internationally, inspired countless young scientists back home in the Philippines, and shown that Southeast Asian researchers belong at the forefront of cosmological discovery.

The coolest part? Her work helps us understand dark matter and dark energy, those mysterious components that make up most of the universe. By confirming that Einstein's equations work at cosmological scales, she's given us tools to probe deeper into these cosmic mysteries.

Dr. Reina Reyes didn't just prove Einstein right. She proved that curiosity, determination, and brilliant scientific work can come from anywhere. She looked at the universe's biggest questions and found answers that echo across billions of light years. Now that's what I call making your mark on the cosmos!

π‘‡β„Žπ‘’ πΆπ‘œπ‘Ÿπ‘’ π‘œπ‘“ π»π‘’π‘Ÿ π·π‘–π‘ π‘π‘œπ‘£π‘’π‘Ÿπ‘¦

π·π‘Ÿ. 𝑅𝑒𝑦𝑒𝑠' π‘€π‘œπ‘Ÿπ‘˜ π‘€π‘Žπ‘  π‘Ÿπ‘’π‘£π‘œπ‘™π‘’π‘‘π‘–π‘œπ‘›π‘Žπ‘Ÿπ‘¦ π‘π‘’π‘π‘Žπ‘’π‘ π‘’ π‘ β„Žπ‘’ 𝑑𝑒𝑠𝑑𝑒𝑑 𝐸𝑖𝑛𝑠𝑑𝑒𝑖𝑛'𝑠 π‘”π‘’π‘›π‘’π‘Ÿπ‘Žπ‘™ π‘Ÿπ‘’π‘™π‘Žπ‘‘π‘–π‘£π‘–π‘‘π‘¦ π‘Žπ‘‘ π‘π‘œπ‘ π‘šπ‘œπ‘™π‘œπ‘”π‘–π‘π‘Žπ‘™ π‘ π‘π‘Žπ‘™π‘’π‘  (π‘π‘–π‘™π‘™π‘–π‘œπ‘›π‘  π‘œπ‘“ π‘™π‘–π‘”β„Žπ‘‘ π‘¦π‘’π‘Žπ‘Ÿπ‘  π‘Žπ‘€π‘Žπ‘¦), π‘€β„Žπ‘–π‘β„Ž β„Žπ‘Žπ‘‘ π‘›π‘’π‘£π‘’π‘Ÿ 𝑏𝑒𝑒𝑛 π‘‘π‘œπ‘›π‘’ π‘ π‘œ π‘Ÿπ‘–π‘”π‘œπ‘Ÿπ‘œπ‘’π‘ π‘™π‘¦ π‘π‘’π‘“π‘œπ‘Ÿπ‘’. π»π‘’π‘Ÿπ‘’'𝑠 π‘€β„Žπ‘Žπ‘‘ π‘ β„Žπ‘’ π‘Žπ‘π‘‘π‘’π‘Žπ‘™π‘™π‘¦ π‘šπ‘’π‘Žπ‘ π‘’π‘Ÿπ‘’π‘‘:

π‘‡β„Žπ‘’ 𝐸𝐺 𝑇𝑒𝑠𝑑: 𝐴 π΅π‘Ÿπ‘–π‘™π‘™π‘–π‘Žπ‘›π‘‘ πΌπ‘›π‘›π‘œπ‘£π‘Žπ‘‘π‘–π‘œπ‘›

π‘†β„Žπ‘’ 𝑒𝑠𝑒𝑑 π‘Ž π‘žπ‘’π‘Žπ‘›π‘‘π‘–π‘‘π‘¦ π‘π‘Žπ‘™π‘™π‘’π‘‘ 𝐸𝐺 π‘‘β„Žπ‘Žπ‘‘ π‘Ÿπ‘’π‘“π‘™π‘’π‘π‘‘π‘  π‘‘β„Žπ‘’ π‘π‘™π‘’π‘ π‘‘π‘’π‘Ÿπ‘–π‘›π‘” π‘œπ‘“ π‘œπ‘π‘ π‘’π‘Ÿπ‘£π‘’π‘‘ π‘”π‘Žπ‘™π‘Žπ‘₯𝑖𝑒𝑠 π‘Žπ‘›π‘‘ π‘‘β„Žπ‘’ π‘‘π‘–π‘ π‘‘π‘œπ‘Ÿπ‘‘π‘–π‘œπ‘› π‘œπ‘“ π‘”π‘Žπ‘™π‘Žπ‘₯𝑖𝑒𝑠 π‘π‘Žπ‘’π‘ π‘’π‘‘ 𝑏𝑦 π‘™π‘–π‘”β„Žπ‘‘ 𝑏𝑒𝑛𝑑𝑖𝑛𝑔 π‘‘β„Žπ‘Ÿπ‘œπ‘’π‘”β„Ž π‘–π‘›π‘‘π‘’π‘Ÿπ‘£π‘’π‘›π‘–π‘›π‘” π‘šπ‘Žπ‘‘π‘‘π‘’π‘Ÿ (π‘€π‘’π‘Žπ‘˜ 𝑙𝑒𝑛𝑠𝑖𝑛𝑔). π‘‡β„Žπ‘–π‘  π‘π‘œπ‘šπ‘π‘–π‘›π‘Žπ‘‘π‘–π‘œπ‘› π‘€π‘Žπ‘  π‘π‘Ÿπ‘’π‘π‘–π‘Žπ‘™ π‘π‘’π‘π‘Žπ‘’π‘ π‘’ 𝑖𝑑 π‘’π‘™π‘–π‘šπ‘–π‘›π‘Žπ‘‘π‘’π‘‘ "π‘”π‘Žπ‘™π‘Žπ‘₯𝑦 π‘π‘–π‘Žπ‘ ," π‘€β„Žπ‘–π‘β„Ž 𝑖𝑠 π‘‘β„Žπ‘’ π‘’π‘›π‘π‘’π‘Ÿπ‘‘π‘Žπ‘–π‘›π‘‘π‘¦ π‘Žπ‘π‘œπ‘’π‘‘ β„Žπ‘œπ‘€ 𝑣𝑖𝑠𝑖𝑏𝑙𝑒 π‘”π‘Žπ‘™π‘Žπ‘₯𝑖𝑒𝑠 π‘Ÿπ‘’π‘™π‘Žπ‘‘π‘’ π‘‘π‘œ 𝑖𝑛𝑣𝑖𝑠𝑖𝑏𝑙𝑒 π‘‘π‘Žπ‘Ÿπ‘˜ π‘šπ‘Žπ‘‘π‘‘π‘’π‘Ÿ.

π‘‡β„Žπ‘Ÿπ‘’π‘’ 𝐾𝑒𝑦 π‘€π‘’π‘Žπ‘ π‘’π‘Ÿπ‘’π‘šπ‘’π‘›π‘‘π‘  πΆπ‘œπ‘šπ‘π‘–π‘›π‘’π‘‘

π·π‘Ÿ. 𝑅𝑒𝑦𝑒𝑠 π‘π‘œπ‘šπ‘π‘–π‘›π‘’π‘‘ π‘‘β„Žπ‘Ÿπ‘’π‘’ π‘‘π‘–π‘“π‘“π‘’π‘Ÿπ‘’π‘›π‘‘ π‘œπ‘π‘ π‘’π‘Ÿπ‘£π‘Žπ‘‘π‘–π‘œπ‘›π‘Žπ‘™ π‘‘π‘’π‘β„Žπ‘›π‘–π‘žπ‘’π‘’π‘  π‘œπ‘› 70,000 π‘”π‘Žπ‘™π‘Žπ‘₯𝑖𝑒𝑠:

☆ πΊπ‘Ÿπ‘Žπ‘£π‘–π‘‘π‘Žπ‘‘π‘–π‘œπ‘›π‘Žπ‘™ 𝐿𝑒𝑛𝑠𝑖𝑛𝑔: π‘†β„Žπ‘’ π‘šπ‘’π‘Žπ‘ π‘’π‘Ÿπ‘’π‘‘ β„Žπ‘œπ‘€ π‘™π‘–π‘”β„Žπ‘‘ 𝑏𝑒𝑛𝑑𝑠 π‘Žπ‘Ÿπ‘œπ‘’π‘›π‘‘ π‘šπ‘Žπ‘ π‘ π‘–π‘£π‘’ π‘œπ‘π‘—π‘’π‘π‘‘π‘ , 𝑠𝑑𝑒𝑑𝑦𝑖𝑛𝑔 π‘£π‘’π‘Ÿπ‘¦ π‘ π‘šπ‘Žπ‘™π‘™ π‘‘π‘–π‘ π‘‘π‘œπ‘Ÿπ‘‘π‘–π‘œπ‘›π‘  𝑖𝑛 π‘”π‘Žπ‘™π‘Žπ‘₯𝑦 π‘ β„Žπ‘Žπ‘π‘’π‘  π‘‘π‘œ π‘–π‘›π‘“π‘’π‘Ÿ π‘‘β„Žπ‘’ π‘Žπ‘šπ‘œπ‘’π‘›π‘‘ π‘œπ‘“ π‘‘π‘Žπ‘Ÿπ‘˜ π‘šπ‘Žπ‘‘π‘‘π‘’π‘Ÿ π‘ π‘’π‘Ÿπ‘Ÿπ‘œπ‘’π‘›π‘‘π‘–π‘›π‘” π‘‘β„Žπ‘’π‘š. π‘‡β„Žπ‘’π‘¦ π‘™π‘–π‘‘π‘’π‘Ÿπ‘Žπ‘™π‘™π‘¦ 𝑒𝑠𝑒𝑑 π‘‘β„Žπ‘’ 𝑣𝑖𝑠𝑖𝑏𝑙𝑒 π‘‘π‘œ π‘šπ‘’π‘Žπ‘ π‘’π‘Ÿπ‘’ π‘‘β„Žπ‘’ 𝑖𝑛𝑣𝑖𝑠𝑖𝑏𝑙𝑒.

☆ πΊπ‘Žπ‘™π‘Žπ‘₯𝑦 πΆπ‘™π‘’π‘ π‘‘π‘’π‘Ÿπ‘–π‘›π‘”: π‘†β„Žπ‘’ π‘šπ‘’π‘Žπ‘ π‘’π‘Ÿπ‘’π‘‘ β„Žπ‘œπ‘€ π‘”π‘Žπ‘™π‘Žπ‘₯𝑖𝑒𝑠 π‘”π‘Ÿπ‘œπ‘’π‘ π‘‘π‘œπ‘”π‘’π‘‘β„Žπ‘’π‘Ÿ 𝑑𝑒𝑒 π‘‘π‘œ π‘”π‘Ÿπ‘Žπ‘£π‘–π‘‘π‘Žπ‘‘π‘–π‘œπ‘›π‘Žπ‘™ π‘Žπ‘‘π‘‘π‘Ÿπ‘Žπ‘π‘‘π‘–π‘œπ‘› π‘Žπ‘π‘Ÿπ‘œπ‘ π‘  π‘£π‘Žπ‘ π‘‘ π‘π‘œπ‘ π‘šπ‘–π‘ π‘‘π‘–π‘ π‘‘π‘Žπ‘›π‘π‘’π‘ .

☆ π‘†π‘‘π‘Ÿπ‘’π‘π‘‘π‘’π‘Ÿπ‘’ πΊπ‘Ÿπ‘œπ‘€π‘‘β„Ž π‘…π‘Žπ‘‘π‘’: π‘†β„Žπ‘’ π‘‘π‘Ÿπ‘Žπ‘π‘˜π‘’π‘‘ β„Žπ‘œπ‘€ π‘‘β„Žπ‘’π‘ π‘’ π‘”π‘Žπ‘™π‘Žπ‘₯𝑦 π‘ π‘‘π‘Ÿπ‘’π‘π‘‘π‘’π‘Ÿπ‘’π‘  π‘’π‘£π‘œπ‘™π‘£π‘’π‘‘ π‘Žπ‘›π‘‘ π‘”π‘Ÿπ‘’π‘€ π‘œπ‘£π‘’π‘Ÿ π‘π‘œπ‘ π‘šπ‘–π‘ π‘‘π‘–π‘šπ‘’.

π‘Šβ„Žπ‘¦ π‘‡β„Žπ‘–π‘  π‘€π‘Žπ‘‘π‘‘π‘’π‘Ÿπ‘’π‘‘

𝐸𝑖𝑛𝑠𝑑𝑒𝑖𝑛'𝑠 π‘‘β„Žπ‘’π‘œπ‘Ÿπ‘¦ π‘Ÿπ‘’π‘žπ‘’π‘–π‘Ÿπ‘’π‘  π‘‘β„Žπ‘’ π‘π‘’π‘Ÿπ‘£π‘Žπ‘‘π‘’π‘Ÿπ‘’ π‘œπ‘“ π‘ π‘π‘Žπ‘π‘’ π‘‘π‘œ π‘’π‘žπ‘’π‘Žπ‘™ π‘‘β„Žπ‘’ π‘π‘’π‘Ÿπ‘£π‘Žπ‘‘π‘’π‘Ÿπ‘’ π‘œπ‘“ π‘‘π‘–π‘šπ‘’, π‘ π‘œ π‘Ÿπ‘’π‘ π‘’π‘Žπ‘Ÿπ‘β„Žπ‘’π‘Ÿπ‘  π‘π‘œπ‘’π‘™π‘‘ π‘π‘Žπ‘™π‘π‘’π‘™π‘Žπ‘‘π‘’ π‘€β„Žπ‘’π‘‘β„Žπ‘’π‘Ÿ π‘™π‘–π‘”β„Žπ‘‘ π‘€π‘Žπ‘  𝑖𝑛𝑓𝑙𝑒𝑒𝑛𝑐𝑒𝑑 π‘’π‘žπ‘’π‘Žπ‘™π‘™π‘¦ 𝑏𝑦 π‘π‘œπ‘‘β„Ž. π‘‡β„Žπ‘–π‘  π‘€π‘Žπ‘  π‘‘β„Žπ‘’ π‘ π‘šπ‘œπ‘˜π‘–π‘›π‘” 𝑔𝑒𝑛 π‘“π‘œπ‘Ÿ 𝑑𝑒𝑠𝑑𝑖𝑛𝑔 π‘”π‘’π‘›π‘’π‘Ÿπ‘Žπ‘™ π‘Ÿπ‘’π‘™π‘Žπ‘‘π‘–π‘£π‘–π‘‘π‘¦.

π‘‡β„Žπ‘’ π‘Ÿπ‘’π‘ π‘’π‘™π‘‘: 𝐸𝐺 = 0.39 ± 0.06, π‘€β„Žπ‘–π‘β„Ž π‘šπ‘Žπ‘‘π‘β„Žπ‘’π‘‘ π‘‘β„Žπ‘’ π‘”π‘’π‘›π‘’π‘Ÿπ‘Žπ‘™ π‘Ÿπ‘’π‘™π‘Žπ‘‘π‘–π‘£π‘–π‘ π‘‘π‘–π‘ π‘π‘Ÿπ‘’π‘‘π‘–π‘π‘‘π‘–π‘œπ‘› π‘œπ‘“ π‘Žπ‘π‘π‘Ÿπ‘œπ‘₯π‘–π‘šπ‘Žπ‘‘π‘’π‘™π‘¦ 0.4. π‘‡β„Žπ‘–π‘  π‘Žπ‘”π‘Ÿπ‘’π‘’π‘šπ‘’π‘›π‘‘ β„Žπ‘’π‘™π‘‘ π‘Žπ‘π‘Ÿπ‘œπ‘ π‘  π‘‘π‘–π‘ π‘‘π‘Žπ‘›π‘π‘’π‘  π‘œπ‘“ 3.5 π‘π‘–π‘™π‘™π‘–π‘œπ‘› π‘™π‘–π‘”β„Žπ‘‘ π‘¦π‘’π‘Žπ‘Ÿπ‘ !

π‘Šβ„Žπ‘Žπ‘‘ π‘†β„Žπ‘’ 𝑅𝑒𝑙𝑒𝑑 𝑂𝑒𝑑

π»π‘’π‘Ÿ 𝑓𝑖𝑛𝑑𝑖𝑛𝑔𝑠 π‘€π‘’π‘Ÿπ‘’ π‘ π‘–π‘”π‘›π‘–π‘“π‘–π‘π‘Žπ‘›π‘‘ π‘π‘’π‘π‘Žπ‘’π‘ π‘’ π‘‘β„Žπ‘’π‘¦ π‘Ÿπ‘’π‘™π‘’π‘‘ π‘œπ‘’π‘‘ π‘Žπ‘™π‘‘π‘’π‘Ÿπ‘›π‘Žπ‘‘π‘–π‘£π‘’ π‘”π‘Ÿπ‘Žπ‘£π‘–π‘‘π‘¦ π‘‘β„Žπ‘’π‘œπ‘Ÿπ‘–π‘’π‘  π‘‘β„Žπ‘Žπ‘‘ π‘‘π‘Ÿπ‘–π‘’π‘‘ π‘‘π‘œ 𝑒π‘₯π‘π‘™π‘Žπ‘–π‘› π‘‘β„Žπ‘’ π‘’π‘›π‘–π‘£π‘’π‘Ÿπ‘ π‘’ π‘€π‘–π‘‘β„Žπ‘œπ‘’π‘‘ π‘‘π‘Žπ‘Ÿπ‘˜ π‘šπ‘Žπ‘‘π‘‘π‘’π‘Ÿ π‘œπ‘Ÿ π‘‘π‘Žπ‘Ÿπ‘˜ π‘’π‘›π‘’π‘Ÿπ‘”π‘¦. π‘†π‘π‘’π‘π‘–π‘“π‘–π‘π‘Žπ‘™π‘™π‘¦, π‘‘β„Žπ‘’ π‘‘π‘’π‘›π‘ π‘œπ‘Ÿ-π‘£π‘’π‘π‘‘π‘œπ‘Ÿ-π‘ π‘π‘Žπ‘™π‘Žπ‘Ÿ π‘”π‘Ÿπ‘Žπ‘£π‘–π‘‘π‘¦ (𝑇𝑒𝑉𝑒𝑆) π‘‘β„Žπ‘’π‘œπ‘Ÿπ‘¦, π‘€β„Žπ‘–π‘β„Ž π‘‘π‘€π‘’π‘Žπ‘˜π‘  π‘”π‘’π‘›π‘’π‘Ÿπ‘Žπ‘™ π‘Ÿπ‘’π‘™π‘Žπ‘‘π‘–π‘£π‘–π‘‘π‘¦ π‘‘π‘œ π‘Žπ‘£π‘œπ‘–π‘‘ π‘Ÿπ‘’π‘žπ‘’π‘–π‘Ÿπ‘–π‘›π‘” π‘‘π‘Žπ‘Ÿπ‘˜ π‘šπ‘Žπ‘‘π‘‘π‘’π‘Ÿ, π‘“π‘Žπ‘–π‘™π‘’π‘‘ π‘‘β„Žπ‘’ 𝑑𝑒𝑠𝑑. 

π‘‡β„Žπ‘’ π΅π‘–π‘”π‘”π‘’π‘Ÿ π‘ƒπ‘–π‘π‘‘π‘’π‘Ÿπ‘’

π‘‡β„Žπ‘–π‘  π‘€π‘Žπ‘  π‘‘β„Žπ‘’ π‘“π‘–π‘Ÿπ‘ π‘‘ π‘‘π‘–π‘šπ‘’ 𝐸𝑖𝑛𝑠𝑑𝑒𝑖𝑛'𝑠 π‘‡β„Žπ‘’π‘œπ‘Ÿπ‘¦ π‘œπ‘“ πΊπ‘’π‘›π‘’π‘Ÿπ‘Žπ‘™ π‘…π‘’π‘™π‘Žπ‘‘π‘–π‘£π‘–π‘‘π‘¦ β„Žπ‘Žπ‘‘ 𝑏𝑒𝑒𝑛 π‘£π‘’π‘Ÿπ‘–π‘“π‘–π‘’π‘‘ π‘π‘’π‘¦π‘œπ‘›π‘‘ π‘‘β„Žπ‘’ π‘π‘œπ‘›π‘“π‘–π‘›π‘’π‘  π‘œπ‘“ π‘œπ‘’π‘Ÿ π‘ π‘œπ‘™π‘Žπ‘Ÿ π‘ π‘¦π‘ π‘‘π‘’π‘š π‘Žπ‘‘ π‘ π‘’π‘β„Ž π‘π‘œπ‘ π‘šπ‘–π‘ π‘ π‘π‘Žπ‘™π‘’π‘ . π‘Šβ„Žπ‘–π‘™π‘’ 𝐸𝑖𝑛𝑠𝑑𝑒𝑖𝑛'𝑠 π‘’π‘žπ‘’π‘Žπ‘‘π‘–π‘œπ‘›π‘  β„Žπ‘Žπ‘‘ 𝑏𝑒𝑒𝑛 𝑑𝑒𝑠𝑑𝑒𝑑 π‘šπ‘Žπ‘›π‘¦ π‘‘π‘–π‘šπ‘’π‘  𝑖𝑛 π‘œπ‘’π‘Ÿ π‘™π‘œπ‘π‘Žπ‘™ π‘π‘œπ‘ π‘šπ‘–π‘ π‘›π‘’π‘–π‘”β„Žπ‘π‘œπ‘Ÿβ„Žπ‘œπ‘œπ‘‘, π‘›π‘œπ‘π‘œπ‘‘π‘¦ π‘˜π‘›π‘’π‘€ 𝑖𝑓 π‘‘β„Žπ‘’π‘¦ 𝑠𝑑𝑖𝑙𝑙 π‘€π‘œπ‘Ÿπ‘˜π‘’π‘‘ π‘€β„Žπ‘’π‘› π‘Žπ‘π‘π‘™π‘–π‘’π‘‘ π‘‘π‘œ π‘ π‘‘π‘Ÿπ‘’π‘π‘‘π‘’π‘Ÿπ‘’π‘  π‘šπ‘–π‘™π‘™π‘–π‘œπ‘›π‘  π‘Žπ‘›π‘‘ π‘π‘–π‘™π‘™π‘–π‘œπ‘›π‘  π‘œπ‘“ π‘™π‘–π‘”β„Žπ‘‘ π‘¦π‘’π‘Žπ‘Ÿπ‘  π‘Žπ‘π‘Ÿπ‘œπ‘ π‘ .

π»π‘’π‘Ÿ π‘€π‘œπ‘Ÿπ‘˜ π‘’π‘ π‘ π‘’π‘›π‘‘π‘–π‘Žπ‘™π‘™π‘¦ π‘π‘Ÿπ‘œπ‘£π‘’π‘‘ π‘‘β„Žπ‘Žπ‘‘ π‘‘β„Žπ‘’ π‘ π‘Žπ‘šπ‘’ π‘”π‘Ÿπ‘Žπ‘£π‘–π‘‘π‘Žπ‘‘π‘–π‘œπ‘›π‘Žπ‘™ π‘Ÿπ‘’π‘™π‘’π‘  π‘”π‘œπ‘£π‘’π‘Ÿπ‘›π‘–π‘›π‘” π‘π‘™π‘Žπ‘›π‘’π‘‘π‘  π‘œπ‘Ÿπ‘π‘–π‘‘π‘–π‘›π‘” π‘œπ‘’π‘Ÿ 𝑠𝑒𝑛 π‘Žπ‘™π‘ π‘œ π‘”π‘œπ‘£π‘’π‘Ÿπ‘› π‘‘β„Žπ‘’ π‘π‘’β„Žπ‘Žπ‘£π‘–π‘œπ‘Ÿ π‘œπ‘“ π‘’π‘›π‘‘π‘–π‘Ÿπ‘’ π‘”π‘Žπ‘™π‘Žπ‘₯𝑦 π‘π‘™π‘’π‘ π‘‘π‘’π‘Ÿπ‘  π‘ π‘’π‘π‘Žπ‘Ÿπ‘Žπ‘‘π‘’π‘‘ 𝑏𝑦 π‘π‘–π‘™π‘™π‘–π‘œπ‘›π‘  π‘œπ‘“ π‘™π‘–π‘”β„Žπ‘‘ π‘¦π‘’π‘Žπ‘Ÿπ‘ , π‘π‘œπ‘›π‘“π‘–π‘Ÿπ‘šπ‘–π‘›π‘” π‘‘β„Žπ‘Žπ‘‘ 𝐸𝑖𝑛𝑠𝑑𝑒𝑖𝑛'𝑠 π‘π‘’π‘Žπ‘’π‘‘π‘–π‘“π‘’π‘™ π‘’π‘žπ‘’π‘Žπ‘‘π‘–π‘œπ‘›π‘  π‘‘π‘’π‘ π‘π‘Ÿπ‘–π‘π‘’ π‘‘β„Žπ‘’ π‘’π‘›π‘‘π‘–π‘Ÿπ‘’ π‘œπ‘π‘ π‘’π‘Ÿπ‘£π‘Žπ‘π‘™π‘’ π‘’π‘›π‘–π‘£π‘’π‘Ÿπ‘ π‘’, π‘›π‘œπ‘‘ 𝑗𝑒𝑠𝑑 π‘œπ‘’π‘Ÿ π‘π‘œπ‘ π‘šπ‘–π‘ π‘π‘Žπ‘π‘˜π‘¦π‘Žπ‘Ÿπ‘‘.

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