Linearization
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Problem 1
![](https://physolymp.s3.ap-south-1.amazonaws.com/chapters/content/linearization/8BzBwNSr6tcgiVgpVdwFRJ3Mr48BI6TBT5EEItj8.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIATYELVJHIXN4JCSBQ%2F20240727%2Fap-south-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T071300Z&X-Amz-SignedHeaders=host&X-Amz-Expires=120&X-Amz-Signature=a8f4e96d72257ace5d739e5456d2c107ad3bb50da54a7df3ea6131ee9d9bc043)
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Problem 2
![](https://physolymp.s3.ap-south-1.amazonaws.com/chapters/content/linearization/6tteJHabL4aSld05Q4mfcQwaUDn2iLtpuTSYt6nJ.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIATYELVJHIXN4JCSBQ%2F20240727%2Fap-south-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T071300Z&X-Amz-SignedHeaders=host&X-Amz-Expires=120&X-Amz-Signature=8bd218ff36acf57c06d95c61ccc632edac1d12671815f67c0e2ffb4dd538a203)
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Problem 3
![](https://physolymp.s3.ap-south-1.amazonaws.com/chapters/content/linearization/OSFMDUN6FA3drJrCgwfuUypvqhoK2gW1i1QmKQJ8.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIATYELVJHIXN4JCSBQ%2F20240727%2Fap-south-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T071300Z&X-Amz-SignedHeaders=host&X-Amz-Expires=120&X-Amz-Signature=ca85a2dfd2bfcbb79c7bf92de4aae5b1b16317b080b7543b306a8f602095b3db)
![face-with-hand-over-mouth](/images/emoji-1.png)
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Problem 4
![](https://physolymp.s3.ap-south-1.amazonaws.com/chapters/content/linearization/EOdc6F27U8adPvVXJbv1DfzAZsiFGyL25SDjc4PE.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIATYELVJHIXN4JCSBQ%2F20240727%2Fap-south-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T071300Z&X-Amz-SignedHeaders=host&X-Amz-Expires=120&X-Amz-Signature=abce9dc811ce29493f25979598efd6ee646f29e8214181e79d3b5bb4c7eff2a5)
![face-with-hand-over-mouth](/images/emoji-1.png)
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Problem 5
![](https://physolymp.s3.ap-south-1.amazonaws.com/chapters/content/linearization/NN8ZXWN6I6eiMgyvfIrGw9RTwkRLRwUyKjJzDFnP.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIATYELVJHIXN4JCSBQ%2F20240727%2Fap-south-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T071300Z&X-Amz-SignedHeaders=host&X-Amz-Expires=120&X-Amz-Signature=69188ba6c17ebd4e3ed407d8dadf9fdc825aca153cb18c0d71ca2a2df820020a)
![face-with-hand-over-mouth](/images/emoji-1.png)
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Problem 6
![](https://physolymp.s3.ap-south-1.amazonaws.com/chapters/content/linearization/tLlK0xwKa55TXNXkoKwqEbrPTX5pnOy9jRcMRxm9.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIATYELVJHIXN4JCSBQ%2F20240727%2Fap-south-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T071300Z&X-Amz-SignedHeaders=host&X-Amz-Expires=120&X-Amz-Signature=d2e03f952803e7d8e505aa6e2b65910874305f6c3075c2d12d94fd38c69dedf7)
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Problem 7
![](https://physolymp.s3.ap-south-1.amazonaws.com/chapters/content/linearization/XvSupNruzzUXrwBYcKjlbppPGbTQ7Swh4GzB4bsc.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIATYELVJHIXN4JCSBQ%2F20240727%2Fap-south-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T071300Z&X-Amz-SignedHeaders=host&X-Amz-Expires=120&X-Amz-Signature=67a3664d7f6034a1c5bec674395b4b883ee7774e2978c6e0d5ce8a410069286d)
![face-with-hand-over-mouth](/images/emoji-1.png)
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Problem 8
![](https://physolymp.s3.ap-south-1.amazonaws.com/chapters/content/linearization/BUDzgagLpzppYMBhQXPhBnyWLEAcCWrvG7aYZVJT.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIATYELVJHIXN4JCSBQ%2F20240727%2Fap-south-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T071300Z&X-Amz-SignedHeaders=host&X-Amz-Expires=120&X-Amz-Signature=3ba137d4468313a56fe382789dd9c5b5cd46de41c82209778bb7610199dc47de)
![face-with-hand-over-mouth](/images/emoji-1.png)
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Problem 9
![](https://physolymp.s3.ap-south-1.amazonaws.com/chapters/content/linearization/i7P8yy46pbyIn6O7juiGTvVhMv8OuDeq6MXJgzny.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIATYELVJHIXN4JCSBQ%2F20240727%2Fap-south-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T071300Z&X-Amz-SignedHeaders=host&X-Amz-Expires=120&X-Amz-Signature=ea5e32971def13f04b7983413ff427abab00b6ebc8a8e50b8effdd9615c754dc)
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Problem 10
![](https://physolymp.s3.ap-south-1.amazonaws.com/chapters/content/linearization/3jkbMuvLP6WQkWrf9Y5IZY7dBN6QB9iEEncWYg5N.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIATYELVJHIXN4JCSBQ%2F20240727%2Fap-south-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T071300Z&X-Amz-SignedHeaders=host&X-Amz-Expires=120&X-Amz-Signature=d396516e8743f52a1c2b563fd0c5217cb178c6b5e56250210a52ade8c7f0f90e)
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