Friday, June 25, 2021

The curious sine curve of equity returns

 Occasionally, I take a new look at how equities are doing compared to a long-term sine wave.  Over the course of the last century or so, real total returns on the S&P 500 follow a sine curve pattern in a surprisingly regular way.  I'm just fitting curves here, so I don't want to say too much about it, but it is interesting.

The positive performance of the stock market over the last few years is actually right in line with the long-term trends.

Here are charts comparing real total returns to the sine curve, fitted to 20th century results, with the last 21 years out of sample.





65 comments:

  1. Great post.

    Sell now, buy back in 2035. Or, move to solid dividend stocks for the interim.

    ReplyDelete
    Replies
    1. Finally there is a cure for herpes1&2 and Dr Osato herbal medicine is the cure for herpes1&2. I saw a post in a health forum from miss cherlyn solie on how she was cured from herpes with the use of Dr Osato herbs and she also wrote Dr Osato cure all kind of deadly diseases and virus including Herpes, HIV, ALS, HPV, HSV1&2, MND, Epilepsy, Leukemia, Asthma, Cancer, Diabetes. At first i doubted if it was real but decided to give it a try because i was desperate to get cured from herpes and i contacted this herbal Doctor on email she provided on the comment and explain my problem to him and he told me that he is going to prepare a herbal medicine for me which he did and he sent it to me through UPS service, when i receive this herbal medicine, he gave me instructions on how to use it, after taken the medicine as instructed, i went for check up and the result was Negative and i went to two other clinic to retested and the result was still Negative and all the symptoms of herpes where gone from my body and my doctor confirm with me that am free from herpes , I am now free from Herpes. You can contact Dr Osato on his email: OSATOHERBALCURE@GMAIL.COM or you can call and Whatsapp him on +2347051705853 . His website is https://osatoherbalcure.wordpress.com. All thanks to Dr Osato for what he has just done for me and i will continue to share this great testimony on every platform so we can join hands to eradicate these diseases and viruses out of this world.


      Delete
    2. My Name Ollis Bator from TX USA. After 12years of marriage, me and my husband have been into one quarrel or the other until he finally left me and moved to California to be with another woman. I felt my life was over and my kids thought they would never see their father again. I tried to be strong just for the kids but I could not control the pains that tormented my heart, my heart was filled with sorrows and pains because I was really in love with my husband. Every day and night I think of him and always wish he would come back to me, I was really upset and I needed help, so I searched for help online and I came across a website that suggested that Dr. Wale can help get ex back fast. So, I felt I should give him a try. I contacted him and he told me what to do and I did it then he did a Love spell for me. 24 hours later, my husband really called me and told me that he missed me and the kids so much, So Amazing!! So that was how he came back that same day, with lots of love and joy, and he apologized for his mistake, and for the pain he caused me and the kids. Then from that day, our Marriage was now stronger than how it was before, All thanks to Dr. Wale. he is so powerful and I decided to share my story on the Internet with Dr. Wale real and powerful spell caster who I will always pray to live long to help his children in the time of trouble, if you are here and you need your ex back or your husband moved to another woman, do not cry anymore, contact this powerful spell caster now. Here's his WhatsApp number +1(978) 406-9575 or Email him : everlastingspellcast@gmail.com or view his website for more review https://everlastingspellcaster.website2.me/contact    












      My Name Ollis Bator from TX USA. After 12years of marriage, me and my husband have been into one quarrel or the other until he finally left me and moved to California to be with another woman. I felt my life was over and my kids thought they would never see their father again. I tried to be strong just for the kids but I could not control the pains that tormented my heart, my heart was filled with sorrows and pains because I was really in love with my husband. Every day and night I think of him and always wish he would come back to me, I was really upset and I needed help, so I searched for help online and I came across a website that suggested that Dr. Wale can help get ex back fast. So, I felt I should give him a try. I contacted him and he told me what to do and I did it then he did a Love spell for me. 24 hours later, my husband really called me and told me that he missed me and the kids so much, So Amazing!! So that was how he came back that same day, with lots of love and joy, and he apologized for his mistake, and for the pain he caused me and the kids. Then from that day, our Marriage was now stronger than how it was before, All thanks to Dr. Wale. he is so powerful and I decided to share my story on the Internet with Dr. Wale real and powerful spell caster who I will always pray to live long to help his children in the time of trouble, if you are here and you need your ex back or your husband moved to another woman, do not cry anymore, contact this powerful spell caster now. Here's his WhatsApp number +1(978) 406-9575 or Email him : everlastingspellcast@gmail.com or view his website for more review https://everlastingspellcaster.website2.me/contact    

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    3. Natural herbs can cure epilepsy, I had epilepsy for over 9 years, i have spent a lot money getting drugs from the hospital to keep me healthy, I went to many hospitals for cure but there was no solution, One day I was in the office going through the internet when I saw a post about Dr Sayo herbal medicine on how he cure a Lady from UK who was suffering from HIV and she listed Epilepsy as list of illness Dr Sayo can as well cured I contacted him with epilepsy Cure solution, I email him. He told me the things I need to do and also give me instructions on how to take the herbal cure, which I followed properly. Before I knew what is happening after 3 weeks To my greatest surprise after patiently going according to instruction given to me by Dr Sayo, my epilepsy was cure, I want to say a big thanks to Dr Sayo who God have sent to heal his people with his natural medicine I pray that God will bless you for the good work you are doing.for all who are still suffering from this illness, you can also contact him through his email on:;;  sayoherbalhealer@gmail.com  or whatsapp him +2349012175679 visit his website: http://sayoherbalhome.com/  or visit his FB page: https://www.facebook.com/SayoHerbalHealer like they say his herbal remedy is the only permanent solution to Seizure. He Can as well cure the following... Herpes Virus, HIV/Aids, Hepatitis A/B, Shingles, Cold Sore, Epilepsy, Wart, Lupus, Diabetes, Men/Woman Infertility, Seizure, Cancer all types.

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    4. AM SANDRA FROM UNITED KINGDOM, THANKS TO DR ONIHA WHO HELP ME BRING MY HUSBAND BACK, MY HUSBAND LEFT ME WITH THREE KIDS, FOR ANOTHER YOUNG GIRL, FOR OVER TWO YEARS, I TRIED ALL I COULD TO SETTLED OUR DIFFRENCES, BUT IT YIELDED NO RESULT, I WAS THE ONE TAKING CARE OF THE CHILDREN ALONE, UNTIL ONE DAY, I CAME IN CONTACT WITH SOME ARTICLES ONLINE, CONTAINING HOW DR ONIHA HAS HELP SO MANY LOVERS AND FAMILY REUNION AND REUNIT AGAIN, AND I DECIDED TO CONTACT HIM, AND HE CAST HIS SPELL ON MY HUSBAND, WITHIN FIVE DAYS, MY HUSBAND RAN BACK HOME, AND WAS BEGGING ME AND THE KIDS FOR FORGIVENESS, IN CASE YOU ARE PASSING THROUGH SIMILAR PROBLEMS, AND YOU WANTS TO CONTACT DR ONIHA, YOU CAN REACH HIM VIA HIS CONTACT NUMBER, ON CALL OR WHATSAP +2347089275769 OR EMAIL DRONIHASPELL@YAHOO.COM

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  2. Get the best of herbal medicine from Dr. onyeneke a traditional herbalist he cured me from herpes virus that I have been suffering from for the past two years now he is perfect in curing unimaginable diseases and virus with his natural roots and herbs contact him today via email on dronyenekeherbs@gmail.com or whatsapp him on +2348123354514 here are few of illness I can list
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  5. I'm here to testify about what DR. Odoma did it for me. I have been suffering from (GENITAL HERPES VIRUS) disease for the past 2 years and had constant pain and itching, especially in my private parts. During the first year, I had faith in God that I would be cured someday. This disease started circulating all over my body and I have been taking treatment from my doctor, few weeks ago I came across a testimony of Shayla Bosschart on the internet testifying about a Man called DR. Odoma on how he cured her from 7 years HSV 2. And she also gave the email address of this man, advising anybody to contact him for help on any kind of diseases that he would be of help, so I emailed him telling him about my (HSV 2) he told me not to worry that I was going to be cured!! Well, I never doubted him. I have faith he can cure me too,, DR. Odoma prepared and sent me Healing Soaps, roots and herbs which I took. In the first one week, I started experiencing changes all over me, after two weeks of using his Roots/ Herbs, Oil and Soap, I was totally cured. no more inching , pain on me anymore as DR. odoma assured me. After some time I went to my doctor to do another test and the result came out negative. So friends, my advice is if you have such a disease or know anyone who suffers from it or any other disease like HPV, HBV, HIV, ALS, HBP, CANCER etc. you can contact DR. Odoma for help via email} drodomasolutionhome20@gmail.com or visit his website{ https://drodomasolutionhome.simdif.com/ } whatsapp him through his mobile} +2348100649947

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  6. I feel so blessed again in my marriage after PRIEST OSAS brought back my husband that separated with me for good 3 months. ANNY ROBERT by name from California. Even though I have mouths all over my body, it won't be enough to thank PRIEST OSAS for his help in my life. My husband separated with me for 3 months and has been in pain and agony without him. So, I searched for help everywhere but nothing worked out not until I meant PRIEST OSAS who I contacted online. I explained my situation to him and he promised that my husband will get back to me within 24 to 48 hours so that my heart still beats for him. I believed in him and he prepared a spell for me and my husband called me exactly when PRIEST OSAS said. He pleaded and said he needs me back and now we are living happily again for the past 9 months. Everyone out there reading my article that needs help should contact him... Email: Unsurpassed.solution@gmail.com or WhatsApp him : +1(419)359-4367
    https://unsurpassedsolution.blogspot.com/

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  8. I was a HIV-AIDS patient and I got it from cheating on my wife. It was sort of a payback but a week later I was told by a friend that the person who I cheated with had the HIV-AIDS virus and did not tell me. I was so stupid by not using a condom I thought since he was an old school friend he was trustworthy. But I was wrong. I cried and cried. Two days later, I got a phone call from my friend and he told me about a person who is known by another friend, who can help me. I could not let my wife know what I was going through. I finally got his email address: oseremenspelltemple@gmail.com and I emailed this man my story and he replied me immediately saying i should be calm and told me that everything will be OK. I could not come to terms with what I was hearing but then I concluded it did not matter because I was so broken I just needed help. I was going out of my mind literally. I was confused with what he was telling me, but I listened. He told me about some materials i need to buy that he needed to cast the spell and I said OK. I bought the materials to him, I sent down my picture to him and my positive result sheet and he replied me that i am going to be negative under 3days. I message Him every 2hours for 2day and I knew he thought that I was crazy but I did care I needed a shoulder. Behold, the third day he messaged me i should go for a test that i will be negative. My marriage could be broken because of a stupid mistake and my life was on the line. I remembered when I was going to get the results of my re-test I called him up again and told him that I was going to get my results today and his reply was “so" and that everything will be as he explained. I knew then that he was getting tired of me calling him, maybe I was wrong. Well I got my results and the first person I called was him - again. As he said hello I started to cry and cry. I could not believe it. I was given a second chance in life.This man is a great spiritual HIV/AIDS healer, his healing spell on aids healing is very powerful .please brothers and sister, contact Dr Ose oseremenspelltemple@gmail.com
    whatsapp +2348136482342www.facebook.com/Dr-odion-spell-temple-110513923938220

    ReplyDelete
  9. Finally there is a cure for herpes1&2 and Dr Osato herbal medicine is the cure for herpes1&2. I saw a post in a health forum from miss cherlyn solie on how she was cured from herpes with the use of Dr Osato herbs and she also wrote Dr Osato cure all kind of deadly diseases and virus including Herpes, HIV, ALS, HPV, HSV1&2, MND, Epilepsy, Leukemia, Asthma, Cancer, Diabetes. At first i doubted if it was real but decided to give it a try because i was desperate to get cured from herpes and i contacted this herbal Doctor on email she provided on the comment and explain my problem to him and he told me that he is going to prepare a herbal medicine for me which he did and he sent it to me through UPS service, when i receive this herbal medicine, he gave me instructions on how to use it, after taken the medicine as instructed, i went for check up and the result was Negative and i went to two other clinic to retested and the result was still Negative and all the symptoms of herpes where gone from my body and my doctor confirm with me that am free from herpes , I am now free from Herpes. You can contact Dr Osato on his email: OSATOHERBALCURE@GMAIL.COM or you can call and Whatsapp him on +2347051705853 . His website is https://osatoherbalcure.wordpress.com. All thanks to Dr Osato for what he has just done for me and i will continue to share this great testimony on every platform so we can join hands to eradicate these diseases and viruses out of this world.


    ReplyDelete
  10. Thanks to God and also to Dr. OBINA, the great herbal man that cured me from HERPES. I contacted the virus from my partner three years ago, i almost spent all i had because i was restless and i need to get rid of the virus and i did not rest until i saw people testimony about Dr. OBINA recommendation online for how he has being curing HERPES with his herbs and i emailed him and tell him my problem and he prepare my cure and send it to me and gave me instructions on how to use the herbs and behold after i finish drinking it i went to the hospital for checkup and the result was negative and the virus was completely gone from my body. You can contact Dr. OBINA to get your herbs too and cure yourself from these virus. His Email: obinnaspelltemple@yahoo.com or add him on WhatsApp +19492293867 Dr. OBINA has cure so many different type of diseases with his herbs such as HERPES, HIV/AIDS. CANCER of all kinds, HSV 1&2, DIABETES and so many more. I want to thank God for using Dr. OBINA to cure me from herpes. Dr. OBINA is truly gifted by God. add him on WhatsApp +19492293867

    ReplyDelete

  11. Nothing can compare the joy in my heart for being free from this terrible disease Herpes, for a long time i suffer from it not until i saw a review on how Dr Onuwa someone from Herpes. I contact him and bought his herbal medicine, surprisingly for me i was cured.no problem that Dr.ONUWA can’t solve. HIS MAIL ADDRESS____ DRONUWA2@gmail.com or whatsapp +2348115914591 cure and also beware of scams Good Luck He cure listed diseases CANCER HEPATITIS A AND B DIABETIC. HIV

    ReplyDelete
  12. My Name Ollis Bator from TX USA. After 12years of marriage, me and my husband have been into one quarrel or the other until he finally left me and moved to California to be with another woman. I felt my life was over and my kids thought they would never see their father again. I tried to be strong just for the kids but I could not control the pains that tormented my heart, my heart was filled with sorrows and pains because I was really in love with my husband. Every day and night I think of him and always wish he would come back to me, I was really upset and I needed help, so I searched for help online and I came across a website that suggested that Dr. Wale can help get ex back fast. So, I felt I should give him a try. I contacted him and he told me what to do and I did it then he did a Love spell for me. 24 hours later, my husband really called me and told me that he missed me and the kids so much, So Amazing!! So that was how he came back that same day, with lots of love and joy, and he apologized for his mistake, and for the pain he caused me and the kids. Then from that day, our Marriage was now stronger than how it was before, All thanks to Dr. Wale. he is so powerful and I decided to share my story on the Internet with Dr. Wale real and powerful spell caster who I will always pray to live long to help his children in the time of trouble, if you are here and you need your ex back or your husband moved to another woman, do not cry anymore, contact this powerful spell caster now. Here's his WhatsApp number +1(978) 406-9575 or Email him : everlastingspellcast@gmail.com or view his website for more review https://everlastingspellcaster.website2.me/contact    

    ReplyDelete
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  14. God is Good!
    I promised God that I would share my testimony on this website. I had all the signs of STD Virus but I was not too sure as to which one. I did a lot of online research and scared myself straight for a whole week before going to see the nurse. She took one look at my genital part and first said that it could just be the anatomy of my body, then she said it looked like genital warts and that I MAY have herpes. I was devastated. She gave me some medicine for the herpes and some cream for the warts. I was also tested for every single STD including herpes. I went home and cried searching the web for all sorts of cures for herpes and awaiting my results. I saw a post whereby Dr. Kham cured Herpes and other diseases, I copied his contacts out and added him on whats app via +2348159922297. The next day my test result was ready and I confirmed Herpes positive. I told Dr. Kham about my health problems and he assured me of a cure. He prepared his herbal medicine and sent it to me. I took it for 14 days (2 weeks). Before the completion of the 14 days in which I completed the dose, the Blisters and Warts that were on my body were cleared. I went back for a check-up and I was told I'm free from the virus. Dr. Kham cures all types of diseases and viruses with the help of his herbal medicine. You can reach Dr. Kham via his email address on (dr.khamcaregiver@gmail.com) or call him on +2348159922297 and whats app him on the same number, but You can Also Visit his website to know more about him at https://herbal-dr-kham.jimdosite.com/ or visit his Blog at https://drkhamcaregiver.blogspot.com/ for more info.

    ReplyDelete
  15. I'm so excited to share my testimonies about the Good Work of Dr odoma who cured my HIV/AIDS with his herbs, I never thought that I would live on earth before the year runs out. I have been suffering from a deadly disease (HIV) for the past (2)years now; I have spent a lot of money going from one Hospital to another looking for ways to get rid of this disease, the hospital has been my home everyday. Constant checks up have been my hobby not until this faithful day, I was searching
    through the internet, I saw a testimony on how Dr Odoma helped someone in curing his HIV disease using his healing
    Herbs, quickly I copied his email just to give him a test I spoke to him, he asked me to a preparation for the herbs items, of which I did exactly what he instructed me to do, he told me that he is going to provide the herbal cure to me, which he
    did, few days after i went back to the same hospital that previously confirmed me as HIV/AIDS positive and this time the result declared me negative to the deadly disease of HIV/AIDS....so I decided to share my testimony, that nothing is impossible with God, God use a man to healed me. No matter what you are passing through, no matter how deadly the sickness is and no matter what the situation is, God that did mine is still going to do yours, suffering from AIDS, ALS, asthma.. Cancer, any kind of disease, you can reach him now via ? Gmail address: (DR odomasolutionhome20@gmail. com) WhatsApp number (+2348100649947) visit his website:
    https://drodomasolutionhome.simdif.com/

    ReplyDelete
  16. This is a testimony that I will tell everyone to hear. I have been married for 2 years and on the 25 year of my marriage, another woman had a spell to take my lover away from me and my husband left me and the kids and we have suffered for 2 years until i meant a post where this man Dr,Omkpo have helped someone and i decided to give him a message to help me bring my love husband home and believe me i just send my picture to him and that of me and after 48 hours as he have told me, I saw a car drove into the house and behold it was my husband and he have come to me and the kids and that is why i am hahappy to make every one of you in similar to met with this man and have yoyour lover back to your self  and fix your broken marriage and relationship restored  back to happiness contact him on: dromokpo@gmail.com

    ReplyDelete
  17. BEST WAYS TO GET YOUR EX LOVER BACK AND RESTORED YOUR BROKEN MARRIAGE OR RELATIONSHIP FROM SORROW TO HAPPINESS.

    Help me thank Dr Omokpo for helping me get my ex husband back to me and my family. This great powerful spiritual man restored my sorrow to happiness. My husband left me some years ago for another woman and they both planned to get married. I am so surprised he just came back to me one cool afternoon on Saturday June, begging and crying for me to take him back and to forgive him for breaking up our marriage home and forsaking me and the children. Dr Omokpo is a true spiritualist savior . He brought my husband back”
    if you have any worries or you have any problem in your marriages or relationships you can reach him on: dromokpo@gmail.com

    ReplyDelete
  18. GET YOUR EX LOVER BACK.VIA: dromokpo@gmail.com

    This is my testimony of life that I will tell everyone. I have been married for 25 years Another woman had a spell to get me away from my lover, My husband left me and the children and we suffered for 2 years until I saw post about where this man Dr Omokpo has helped so many people recover their broken marriages and relationships to get their ex lovers back.
    I decided to send him a message about my broken marriage and family about how my husband left me and for him to help me bring back my loving husband home, This great man told me what to do and I followed him as he instructed. After 48 hours, as he told me, I saw a car enter the compound. I was shocked when I saw my husband. As I share my testimony with you my husband came back to me and the kids and that's why I'm so happy to introduce you all to meet this great man for solutions to your problems and bring your lover back to you and mend your broken marriage or your relationship restored back to happiness as you wished. Contact this great man via: dromokpo@gmail.com

    ReplyDelete
  19. Hello everyone i was diagnosed of herpes simplex virus for about 8 months ,I’ve lost all hope and my doctor said there is no possible cure and I have been taken antiviral to sustain myself I have had several out break from the time I was diagnosed till I got to know about Dr.Ebhota through a friend who he cured of Herpes . I contacted him and he sent me his herbal remedy which I took as he directed me to do for some days and I went to the hospital after consuming his Herbal medicine and I was confirmed Herpes Negative after 8 months of pains and depression , it was indeed a miracle, Dr.ebhota is a great man, I have heard so much about how he has help lot of people, He also cure ALS, HEPATITIS B, CANCER, HERPES, DIABETES and lots more. If you have any issues you can contact him for help add him on whatsapp +2348089535482. or via email:Email drebhotasolution@gmail.com

    ReplyDelete
  20. Thanks for the detailed article on this topic. I would like to see more such awesome articles from you.

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  21. Even though I am here for the first time, I am very impressed with your post. Thanks for sharing.

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  22. GET YOUR EX LOVER BACK NOW OR GET YOUR BROKEN RELATIONSHIP, MARRIAGE RESTORED.

    I’m just upset that I have been in pain and crying for so long and many times. Thank you dromokpo@gmail.com
    I wished I would have found you earlier, you would have saved me from a lot of pain for the past five years my ex lover left me for another woman in just 2 days i contacted you Dr Omokpo you brought my broken relationship back
    I spent a small fortune enough to take my dream trip to South Carolina but what’s the point in taking a dream trip without the love of my life. Dr Omokpo has given me hope and his honesty is a breath of fresh air, I feel so good and heavy happiness in my heart to get my ex lover back. Who I thought he was gone forever. We are married now as I share my testimony with you. If you have broken relationship or broken marriage or you want to get your ex lover back kindly contact: dromokpo@gmail.com

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  24. Hi viewers online, I'm Suzanne Gratton from the US. I'm here to share my testimony about how I helped to get my husband back. I was a cheat and my husband caught me several times. I tried fixing myself and each time I ended up cheating over and over again. I guess I didn't realize what he meant to me until he had left me alone. I began to find a way to get him back but nothing seemed to work out perfectly until I came across an article about DR PATRICK who helped a lot of people globally to get their relationships back. I made contact with him and he assured me that my husband will come back to me within 48 hours with his powerful magic and I paid 410 dollars for the materials needed for the work. Surprisingly, my husband came back home after 2 days saying that he still loves me and I swore never to cheat on him anymore. All thanks to DR PATRICK. You can have a chat with him on his WhatsApp number +1 662 493 2087 or you can contact him on Email drpatrickspellcaster@gmail.com and here is facebook page https://www.facebook.com/Drpatrickspellcaster11 and his blob https://drpatrickspellcast.blogspot.com

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  26. Informative post it is. Thank you for sharing these graphs. It helped me learning new things.

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  27. BEST WAYS TO GET YOUR EX LOVER BACK AND RESTORED YOUR BROKEN MARRIAGE OR RELATIONSHIP FROM SORROW TO HAPPINESS.

    Help me thank Dromokpo@gmail.com for helping me get my ex husband back to me and my family. This great powerful spiritual man restored my sorrow to happiness. My husband left me some years ago for another woman and they both planned to get married. I am so surprised he just came back to me one cool afternoon on Saturday June, begging and crying for me to take him back and to forgive him for breaking up our marriage home and forsaking me and the children. Dr Omokpo is a true spiritualist savior . He brought my husband back”

    if you have any worries or you have any problem in your marriages or relationships you can reach him via: dromokpo@gmail.com

    ReplyDelete
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