Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.
Upcoming SlideShare
Loading in …5
×

# Solving very simple substitution ciphers algorithmically - Stephen Enright-Ward

A historical text may now be unreadable, because its language is unknown, or its script forgotten (or both), or because it was deliberately enciphered. Deciphering needs two steps: Identify the language, then map the unknown script to a familiar one. I’ll present an algorithm to solve a cartoon version of this problem, where the language is known, and the cipher is alphabet rearrangement.

• Full Name
Comment goes here.

Are you sure you want to Yes No
Your message goes here
• Be the first to comment

### Solving very simple substitution ciphers algorithmically - Stephen Enright-Ward

1. 1. Solving very simple substitution ciphers algorithmically Stephen Enright-Ward lateral.io stephen@lateral.io
2. 2. 2. There still exist encrypted, unreadable historical texts. 1. Fun, unusual application of machine learning This is cool
3. 3. The Voynich manuscript
4. 4. The Voynich manuscript Unsolved!
5. 5. 2. No original research 1. This is a toy problem Disclaimer
6. 6. Outline 1. Introduction 2. Framing the problem 3. Naive solution 4. Maths + stats tools 5. Algorithm
7. 7. 1. Introduction Encryption & decryption
8. 8. 1. Introduction Cipher textPlain text encryption decryption Encryption & decryption
9. 9. 1. Introduction Cipher textPlain text encryption decryption “the cat sat on the mat” “uif dbu tbu po uif nbu” Encryption & decryption
10. 10. 1. Introduction Cipher textPlain text encryption decryption “the cat sat on the mat” “uif dbu tbu po uif nbu” Encryption & decryption “Mono-Alphabetic Substitution Cipher” (MASC) Replace each plain text letter with a single, fixed cipher text letter. Algorithm:
11. 11. 1. Introduction Cipher textPlain text encryption decryption “the cat sat on the mat” “uif dbu tbu po uif nbu” Encryption & decryption “Mono-Alphabetic Substitution Cipher” (MASC) Replace each plain text letter with a single, fixed cipher text letter. Algorithm: {a 7! b, b 7! c, . . .}<latexit sha1_base64="v4rjKncKUxiOht1plgEILCpWNAA=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASTByfBxJFSK3gNzPCykgh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNNaduA==</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="+qXmXDvbsp9dxNODp3hOJ51qX74=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8DEEvRonSAgZlGHxecBl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBBJuI</latexit> {b 7! a, c 7! b, . . .}<latexit sha1_base64="5hczuU3PZbTCk1ak6zzIIIj/v8M=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASVzk+DiSKkS4gMjnxS0gh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNOqduA==</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="9IzG5xCESr5mu8279n94muQyH4w=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8LIBejBKlBURliD8vQRl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBGJuI</latexit> Encryption = Decryption = Keys:
12. 12. 1. Introduction Cipher textPlain text encryption decryption “the cat sat on the mat” “uif dbu tbu po uif nbu” 1. Choose algorithm 2. Choose key 1. Deduce algorithm 2. Deduce key Encryption: Decryption: Encryption & decryption “Mono-Alphabetic Substitution Cipher” (MASC) Replace each plain text letter with a single, fixed cipher text letter. Algorithm: {a 7! b, b 7! c, . . .}<latexit sha1_base64="v4rjKncKUxiOht1plgEILCpWNAA=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASTByfBxJFSK3gNzPCykgh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNNaduA==</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="EL+Q1x+C71y+qzEf13d7koRz6BU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7rsZgi5HiVQx9MvQ/7zgMnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZITn30=</latexit><latexit sha1_base64="+qXmXDvbsp9dxNODp3hOJ51qX74=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8DEEvRonSAgZlGHxecBl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBBJuI</latexit> {b 7! a, c 7! b, . . .}<latexit sha1_base64="5hczuU3PZbTCk1ak6zzIIIj/v8M=">AAACD3icdVDLSgMxFL1TX7W+Rl0KEiyKi1JmXNh2IwU3LivYB3RKyWTSNjTzIMkIZegfuHHZnd/gxoUibt2682/MtCo+DwROzrmX5Bw34kwqy3o1MnPzC4tL2eXcyura+oa5udWQYSwIrZOQh6LlYkk5C2hdMcVpKxIU+y6nTXd4mvrNSyokC4MLNYpox8f9gPUYwUpLXfPASVzk+DiSKkS4gMjnxS0gh3uhksgZ57pm3ipWSuVy5Rj9JnbRmiJf3Z1MbgCg1jVfHC8ksU8DRTiWsm1bkeokWChGOB3nnFjSCJMh7tO2pgH2qewk0zxjtK8VD/VCoU+g0FT9upFgX8qR7+pJH6uB/Oml4l9eO1a9cidhQRQrGpDZQ72YIx03LQd5TFCi+EgTTATTf0VkgAUmSleYlvCRFP1PGkdF2yra57qNE5ghCzuwB4dgQwmqcAY1qAOBK7iFe3gwro0749F4mo1mjPedbfgG4/kNNOqduA==</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="f+favxxu8FcopNxNN2gP3rsZ8yU=">AAACD3icdVDNS8MwHE39nPOr6lGQ4FA8jNJ6cNtFBl48TnAfsJaRpukWlrQlSYVR9h948ah/hhcPinj16s3/xnRT8fNB4OW934/kPT9hVCrbfjVmZufmFxYLS8XlldW1dXNjsyXjVGDSxDGLRcdHkjAakaaiipFOIgjiPiNtf3iS++0LIiSNo3M1SojHUT+iIcVIaaln7ruZD12OEqliiMoQf178MnRZECsJ3XGxZ5Zsq1apVmtH8DdxLHuCUn3nOsdNo2e+uEGMU04ihRmSsuvYifIyJBTFjIyLbipJgvAQ9UlX0whxIr1skmcM97QSwDAW+kQKTtSvGxniUo64ryc5UgP508vFv7xuqsKql9EoSRWJ8PShMGVQx83LgQEVBCs20gRhQfVfIR4ggbDSFeYlfCSF/5PWoeXYlnOm2zgGUxTANtgFB8ABFVAHp6ABmgCDS3AL7sGDcWXcGY/G03R0xnjf2QLfYDy/AZInn30=</latexit><latexit sha1_base64="9IzG5xCESr5mu8279n94muQyH4w=">AAACD3icdVBLSwMxGMz6rPW16tFLsCgeStn1YNuLFLx4rGAf0F1KNpttQ7PJkmSFsvQfePGvePGgiFev3vw3ZtsqPgcCk5nvI5kJEkaVdpw3a2FxaXlltbBWXN/Y3Nq2d3bbSqQSkxYWTMhugBRhlJOWppqRbiIJigNGOsHoPPc710QqKviVHifEj9GA04hipI3Ut4+8LIBejBKlBURliD8vQRl6LBRaQW9S7Nslp1Kv1mr1U/ibuBVnihKYo9m3X71Q4DQmXGOGlOq5TqL9DElNMSOTopcqkiA8QgPSM5SjmCg/m+aZwEOjhDAS0hyu4VT9upGhWKlxHJjJGOmh+unl4l9eL9VRzc8oT1JNOJ49FKUMmrh5OTCkkmDNxoYgLKn5K8RDJBHWpsK8hI+k8H/SPqm4TsW9dEqNs3kdBbAPDsAxcEEVNMAFaIIWwOAG3IEH8GjdWvfWk/U8G12w5jt74Busl3dBGJuI</latexit> Encryption = Decryption = Keys:
13. 13. A “Mono-Alphabetic Substitution Cipher” (MASC) means: Replace each plain text letter with a single, fixed cipher text letter. Important “the cat sat on the mat” “uif dbu tbu po uif nbu” From now on: I only talk about MASCs.
14. 14. 2. Framing the problem
15. 15. 2. Framing the problem Assumptions
16. 16. 2. Framing the problem 1. We know cipher text is MASC-encrypted Assumptions
17. 17. 2. Framing the problem 2. We have “enough” cipher text 1. We know cipher text is MASC-encrypted Assumptions
18. 18. 2. Framing the problem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted Assumptions
19. 19. 2. Framing the problem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language Assumptions
20. 20. 2. Framing the problem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language Assumptions Consequences
21. 21. 2. Framing the problem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language 1. and 2. make problem feasible Assumptions Consequences
22. 22. 2. Framing the problem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language 1. and 2. make problem feasible 3. means we can use statistics on character sequences Assumptions Consequences
23. 23. 2. Framing the problem 2. We have “enough” cipher text 3. Punctuation stripped, encryption preserves spaces 1. We know cipher text is MASC-encrypted 4. We know, & have access to text from, the source language 1. and 2. make problem feasible 3. means we can use statistics on character sequences 4. means we can use ML on “training text”. Assumptions Consequences
24. 24. Permutation: A rearrangement of distinct objects (for us, letters) Permutations
25. 25. Permutations Permutation: A rearrangement of distinct objects (for us, letters) Formally: one-to-one map from a finite set to itself
26. 26. Permutations Permutation: A rearrangement of distinct objects (for us, letters) Formally: one-to-one map from a finite set to itself Different notation
27. 27. a b dc a b dc Permutations Permutation: A rearrangement of distinct objects (for us, letters) arrow diagramarrow diagram Different notation Formally: one-to-one map from a finite set to itself
28. 28. {a: b, b: c, c: a, d: d} a b dc a b dc arrow diagram Permutations Formally: one-to-one map from a finite set to itself arrow diagram Different notation Permutation: A rearrangement of distinct objects (for us, letters) dictionary
29. 29. Formally: one-to-one map from a finite set to itself {a: b, b: c, c: a, d: d} dictionary a b dc a b dc arrow diagram Different notation cycles (abc)(d) = (abc) Permutations Permutation: A rearrangement of distinct objects (for us, letters)
30. 30. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit>
31. 31. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit>
32. 32. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one:
33. 33. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one: ⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍ ca e m n o s th
34. 34. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one: ⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍ ca e m n o s th “the cat sat on the mat” !<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> “osc heo meo nt oso aeo”
35. 35. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one: ⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍ ca e m n o s th “the cat sat on the mat” !<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> “osc heo meo nt oso aeo” Can assume cipher text and plain text have same alphabet
36. 36. cipher text alphabet plain text alphabet6=<latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit><latexit sha1_base64="oeVIw5oD/ZHewQ4HSdkzrUVYJ9Y=">AAAB63icdVDLSsNAFJ3UV62vqks3g0VwFRL7SJYFXbisYB/QhjKZTtqhM5M4MxFK6C+4caGIW3/InX/jpK2gogcuHM65l3vvCRNGlXacD6uwtr6xuVXcLu3s7u0flA+POipOJSZtHLNY9kKkCKOCtDXVjPQSSRAPGemG08vc794TqWgsbvUsIQFHY0EjipHOpYEgd8NyxbF9z69VXejYda9R83Li1ht+owpd21mgAlZoDcvvg1GMU06Exgwp1XedRAcZkppiRualQapIgvAUjUnfUIE4UUG2uHUOz4wyglEsTQkNF+r3iQxxpWY8NJ0c6Yn67eXiX14/1ZEfZFQkqSYCLxdFKYM6hvnjcEQlwZrNDEFYUnMrxBMkEdYmnpIJ4etT+D/pXNiuSeamVmlereIoghNwCs6BCzzQBNegBdoAgwl4AE/g2eLWo/VivS5bC9Zq5hj8gPX2CZsXjp4=</latexit> “the cat sat on the mat” “⧫︎♒♏ ♍♋⧫︎ ⬧♋⧫︎ □︎■︎ ⧫︎♒♏ ❍♋⧫︎”!<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> However, MASC encryption means plain- and cipher text alphabets correspond one-to-one: ⧫︎ ♒♏ ♍♋ ⬧ □︎ ■︎❍ ca e m n o s th “the cat sat on the mat” !<latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit><latexit sha1_base64="VUwNDctZDZEgUdxnnuk75cyH/NM=">AAAB/HicdVDLSgMxFM34rPVV7dJNsAiuhowK2l1BFy4r2Ae0Q8mkmTY0kwzJHaWU+ituXCji1g9x59+YPgSfBy4czrmXe++JUiksEPLuLSwuLa+s5tby6xubW9uFnd261ZlhvMa01KYZUculULwGAiRvpobTJJK8EQ3OJ37jhhsrtLqGYcrDhPaUiAWj4KROodiWWvUkj8GIXh+oMfq2UygRv1w+JoTg3yTwyRQlNEe1U3hrdzXLEq6ASWptKyAphCNqQDDJx/l2ZnlK2YD2eMtRRRNuw9H0+DE+cEoXx9q4UoCn6teJEU2sHSaR60wo9O1PbyL+5bUyiM/CkVBpBlyx2aI4kxg0niSBu8JwBnLoCGVGuFsx61NDGbi88i6Ez0/x/6R+5AfED65OSpWLeRw5tIf20SEK0CmqoEtURTXE0BDdo0f05N15D96z9zJrXfDmM0X0Dd7rBwWylao=</latexit> “osc heo meo nt oso aeo” Can assume cipher text and plain text have same alphabet Hence: Decryption key is a permutation
37. 37. Given space-preserved, MASC-encrypted cipher text of known source language with alphabet , and training sample of text from , find the permutation of that is the decryption key. T<latexit sha1_base64="k4E3SZe62TFdN220BuJbJgfuB6E=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIvHBLJBMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdyq2srq1v5DcLW9s7u3vF/YOWilPJsMliEcuOTxUKHmFTcy2wk0ikoS+w7Y+vZ377DqXicdTQkwS9kA4jHnBGtZHqjX6x5NiXlXO3Uia/iWs7c5RgiVq/+NYbxCwNMdJMUKW6rpNoL6NScyZwWuilChPKxnSIXUMjGqLysvmhU3JilAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQcXLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJtsCiaEz0/J/6R1ZruO7dbLperVMo48HMExnIILF1CFG6hBExgg3MMjPFm31oP1bL0sWnPWcuYQvsF6/QBK/41A</latexit><latexit sha1_base64="k4E3SZe62TFdN220BuJbJgfuB6E=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIvHBLJBMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdyq2srq1v5DcLW9s7u3vF/YOWilPJsMliEcuOTxUKHmFTcy2wk0ikoS+w7Y+vZ377DqXicdTQkwS9kA4jHnBGtZHqjX6x5NiXlXO3Uia/iWs7c5RgiVq/+NYbxCwNMdJMUKW6rpNoL6NScyZwWuilChPKxnSIXUMjGqLysvmhU3JilAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQcXLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJtsCiaEz0/J/6R1ZruO7dbLperVMo48HMExnIILF1CFG6hBExgg3MMjPFm31oP1bL0sWnPWcuYQvsF6/QBK/41A</latexit><latexit sha1_base64="k4E3SZe62TFdN220BuJbJgfuB6E=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIvHBLJBMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdyq2srq1v5DcLW9s7u3vF/YOWilPJsMliEcuOTxUKHmFTcy2wk0ikoS+w7Y+vZ377DqXicdTQkwS9kA4jHnBGtZHqjX6x5NiXlXO3Uia/iWs7c5RgiVq/+NYbxCwNMdJMUKW6rpNoL6NScyZwWuilChPKxnSIXUMjGqLysvmhU3JilAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQcXLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJtsCiaEz0/J/6R1ZruO7dbLperVMo48HMExnIILF1CFG6hBExgg3MMjPFm31oP1bL0sWnPWcuYQvsF6/QBK/41A</latexit><latexit sha1_base64="k4E3SZe62TFdN220BuJbJgfuB6E=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIvHBLJBMoSeTk3Spmehu0cIQ77AiwdFvPpJ3vwbO4vg+qDg8V4VVfX8RHClHefdyq2srq1v5DcLW9s7u3vF/YOWilPJsMliEcuOTxUKHmFTcy2wk0ikoS+w7Y+vZ377DqXicdTQkwS9kA4jHnBGtZHqjX6x5NiXlXO3Uia/iWs7c5RgiVq/+NYbxCwNMdJMUKW6rpNoL6NScyZwWuilChPKxnSIXUMjGqLysvmhU3JilAEJYmkq0mSufp3IaKjUJPRNZ0j1SP30ZuJfXjfVQcXLeJSkGiO2WBSkguiYzL4mAy6RaTExhDLJza2EjaikTJtsCiaEz0/J/6R1ZruO7dbLperVMo48HMExnIILF1CFG6hBExgg3MMjPFm31oP1bL0sWnPWcuYQvsF6/QBK/41A</latexit> C<latexit sha1_base64="FLQ6mC3L14xJUkE1F1FCQkg4Urw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJce+rJy7lTL5TVzbmaMES9T7xbfeIGZpiJFmgirVdZ1EexmVmjOB00IvVZhQNqZD7Boa0RCVl80PnZITowxIEEtTkSZz9etERkOlJqFvOkOqR+qnNxP/8rqpDipexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietM9t1bLdRLlWvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wcxO40v</latexit><latexit sha1_base64="FLQ6mC3L14xJUkE1F1FCQkg4Urw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJce+rJy7lTL5TVzbmaMES9T7xbfeIGZpiJFmgirVdZ1EexmVmjOB00IvVZhQNqZD7Boa0RCVl80PnZITowxIEEtTkSZz9etERkOlJqFvOkOqR+qnNxP/8rqpDipexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietM9t1bLdRLlWvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wcxO40v</latexit><latexit sha1_base64="FLQ6mC3L14xJUkE1F1FCQkg4Urw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJce+rJy7lTL5TVzbmaMES9T7xbfeIGZpiJFmgirVdZ1EexmVmjOB00IvVZhQNqZD7Boa0RCVl80PnZITowxIEEtTkSZz9etERkOlJqFvOkOqR+qnNxP/8rqpDipexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietM9t1bLdRLlWvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wcxO40v</latexit><latexit sha1_base64="FLQ6mC3L14xJUkE1F1FCQkg4Urw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJce+rJy7lTL5TVzbmaMES9T7xbfeIGZpiJFmgirVdZ1EexmVmjOB00IvVZhQNqZD7Boa0RCVl80PnZITowxIEEtTkSZz9etERkOlJqFvOkOqR+qnNxP/8rqpDipexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietM9t1bLdRLlWvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wcxO40v</latexit> A<latexit sha1_base64="bKCw6X9Y2pY/gNh+XpauJ0GZmpw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS459Xjl1K2Xym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHVS8jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aJ7br2G69XKpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8uM40t</latexit><latexit sha1_base64="bKCw6X9Y2pY/gNh+XpauJ0GZmpw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS459Xjl1K2Xym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHVS8jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aJ7br2G69XKpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8uM40t</latexit><latexit sha1_base64="bKCw6X9Y2pY/gNh+XpauJ0GZmpw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS459Xjl1K2Xym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHVS8jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aJ7br2G69XKpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8uM40t</latexit><latexit sha1_base64="bKCw6X9Y2pY/gNh+XpauJ0GZmpw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS459Xjl1K2Xym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHVS8jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aJ7br2G69XKpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8uM40t</latexit> <latexit sha1_base64="zNdbNl1xwsezR0NQfzTVQ1uVR0A=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapiRonUjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr888ppWCmj3yT0gxlKsECtW3zr9CTJUios4diYdhgoG42xtoxwOil0MkMVJkPcp21HBU6picazayfoyCk9lEjtSlg0U79OjHFqzCiNXWeK7cD89KbiX147s0klGjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SOPHDwA+vy6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBMYKPhw==</latexit><latexit sha1_base64="zNdbNl1xwsezR0NQfzTVQ1uVR0A=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapiRonUjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr888ppWCmj3yT0gxlKsECtW3zr9CTJUios4diYdhgoG42xtoxwOil0MkMVJkPcp21HBU6picazayfoyCk9lEjtSlg0U79OjHFqzCiNXWeK7cD89KbiX147s0klGjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SOPHDwA+vy6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBMYKPhw==</latexit><latexit sha1_base64="zNdbNl1xwsezR0NQfzTVQ1uVR0A=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapiRonUjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr888ppWCmj3yT0gxlKsECtW3zr9CTJUios4diYdhgoG42xtoxwOil0MkMVJkPcp21HBU6picazayfoyCk9lEjtSlg0U79OjHFqzCiNXWeK7cD89KbiX147s0klGjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SOPHDwA+vy6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBMYKPhw==</latexit><latexit sha1_base64="zNdbNl1xwsezR0NQfzTVQ1uVR0A=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapiRonUjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr888ppWCmj3yT0gxlKsECtW3zr9CTJUios4diYdhgoG42xtoxwOil0MkMVJkPcp21HBU6picazayfoyCk9lEjtSlg0U79OjHFqzCiNXWeK7cD89KbiX147s0klGjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SOPHDwA+vy6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBMYKPhw==</latexit> L<latexit sha1_base64="dMC2sigCJfmXZcfWdW2STjaMpug=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIsHDwmYBZIh9HRqkjY9C909QhjyBV48KOLVT/Lm39hZBNcHBY/3qqiq5yeCK+0471ZuaXlldS2/XtjY3NreKe7uNVWcSoYNFotYtn2qUPAIG5prge1EIg19gS1/dDn1W3coFY+jGz1O0AvpIOIBZ1QbqX7dK5Yc+7xy6lbK5DdxbWeGEixQ6xXfuv2YpSFGmgmqVMd1Eu1lVGrOBE4K3VRhQtmIDrBjaERDVF42O3RCjozSJ0EsTUWazNSvExkNlRqHvukMqR6qn95U/MvrpDqoeBmPklRjxOaLglQQHZPp16TPJTItxoZQJrm5lbAhlZRpk03BhPD5KfmfNE9s17HderlUvVjEkYcDOIRjcOEMqnAFNWgAA4R7eIQn69Z6sJ6tl3lrzlrM7MM3WK8fPt+NOA==</latexit><latexit sha1_base64="dMC2sigCJfmXZcfWdW2STjaMpug=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIsHDwmYBZIh9HRqkjY9C909QhjyBV48KOLVT/Lm39hZBNcHBY/3qqiq5yeCK+0471ZuaXlldS2/XtjY3NreKe7uNVWcSoYNFotYtn2qUPAIG5prge1EIg19gS1/dDn1W3coFY+jGz1O0AvpIOIBZ1QbqX7dK5Yc+7xy6lbK5DdxbWeGEixQ6xXfuv2YpSFGmgmqVMd1Eu1lVGrOBE4K3VRhQtmIDrBjaERDVF42O3RCjozSJ0EsTUWazNSvExkNlRqHvukMqR6qn95U/MvrpDqoeBmPklRjxOaLglQQHZPp16TPJTItxoZQJrm5lbAhlZRpk03BhPD5KfmfNE9s17HderlUvVjEkYcDOIRjcOEMqnAFNWgAA4R7eIQn69Z6sJ6tl3lrzlrM7MM3WK8fPt+NOA==</latexit><latexit sha1_base64="dMC2sigCJfmXZcfWdW2STjaMpug=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIsHDwmYBZIh9HRqkjY9C909QhjyBV48KOLVT/Lm39hZBNcHBY/3qqiq5yeCK+0471ZuaXlldS2/XtjY3NreKe7uNVWcSoYNFotYtn2qUPAIG5prge1EIg19gS1/dDn1W3coFY+jGz1O0AvpIOIBZ1QbqX7dK5Yc+7xy6lbK5DdxbWeGEixQ6xXfuv2YpSFGmgmqVMd1Eu1lVGrOBE4K3VRhQtmIDrBjaERDVF42O3RCjozSJ0EsTUWazNSvExkNlRqHvukMqR6qn95U/MvrpDqoeBmPklRjxOaLglQQHZPp16TPJTItxoZQJrm5lbAhlZRpk03BhPD5KfmfNE9s17HderlUvVjEkYcDOIRjcOEMqnAFNWgAA4R7eIQn69Z6sJ6tl3lrzlrM7MM3WK8fPt+NOA==</latexit><latexit sha1_base64="dMC2sigCJfmXZcfWdW2STjaMpug=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIsHDwmYBZIh9HRqkjY9C909QhjyBV48KOLVT/Lm39hZBNcHBY/3qqiq5yeCK+0471ZuaXlldS2/XtjY3NreKe7uNVWcSoYNFotYtn2qUPAIG5prge1EIg19gS1/dDn1W3coFY+jGz1O0AvpIOIBZ1QbqX7dK5Yc+7xy6lbK5DdxbWeGEixQ6xXfuv2YpSFGmgmqVMd1Eu1lVGrOBE4K3VRhQtmIDrBjaERDVF42O3RCjozSJ0EsTUWazNSvExkNlRqHvukMqR6qn95U/MvrpDqoeBmPklRjxOaLglQQHZPp16TPJTItxoZQJrm5lbAhlZRpk03BhPD5KfmfNE9s17HderlUvVjEkYcDOIRjcOEMqnAFNWgAA4R7eIQn69Z6sJ6tl3lrzlrM7MM3WK8fPt+NOA==</latexit> L<latexit sha1_base64="dMC2sigCJfmXZcfWdW2STjaMpug=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIsHDwmYBZIh9HRqkjY9C909QhjyBV48KOLVT/Lm39hZBNcHBY/3qqiq5yeCK+0471ZuaXlldS2/XtjY3NreKe7uNVWcSoYNFotYtn2qUPAIG5prge1EIg19gS1/dDn1W3coFY+jGz1O0AvpIOIBZ1QbqX7dK5Yc+7xy6lbK5DdxbWeGEixQ6xXfuv2YpSFGmgmqVMd1Eu1lVGrOBE4K3VRhQtmIDrBjaERDVF42O3RCjozSJ0EsTUWazNSvExkNlRqHvukMqR6qn95U/MvrpDqoeBmPklRjxOaLglQQHZPp16TPJTItxoZQJrm5lbAhlZRpk03BhPD5KfmfNE9s17HderlUvVjEkYcDOIRjcOEMqnAFNWgAA4R7eIQn69Z6sJ6tl3lrzlrM7MM3WK8fPt+NOA==</latexit><latexit sha1_base64="dMC2sigCJfmXZcfWdW2STjaMpug=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIsHDwmYBZIh9HRqkjY9C909QhjyBV48KOLVT/Lm39hZBNcHBY/3qqiq5yeCK+0471ZuaXlldS2/XtjY3NreKe7uNVWcSoYNFotYtn2qUPAIG5prge1EIg19gS1/dDn1W3coFY+jGz1O0AvpIOIBZ1QbqX7dK5Yc+7xy6lbK5DdxbWeGEixQ6xXfuv2YpSFGmgmqVMd1Eu1lVGrOBE4K3VRhQtmIDrBjaERDVF42O3RCjozSJ0EsTUWazNSvExkNlRqHvukMqR6qn95U/MvrpDqoeBmPklRjxOaLglQQHZPp16TPJTItxoZQJrm5lbAhlZRpk03BhPD5KfmfNE9s17HderlUvVjEkYcDOIRjcOEMqnAFNWgAA4R7eIQn69Z6sJ6tl3lrzlrM7MM3WK8fPt+NOA==</latexit><latexit sha1_base64="dMC2sigCJfmXZcfWdW2STjaMpug=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIsHDwmYBZIh9HRqkjY9C909QhjyBV48KOLVT/Lm39hZBNcHBY/3qqiq5yeCK+0471ZuaXlldS2/XtjY3NreKe7uNVWcSoYNFotYtn2qUPAIG5prge1EIg19gS1/dDn1W3coFY+jGz1O0AvpIOIBZ1QbqX7dK5Yc+7xy6lbK5DdxbWeGEixQ6xXfuv2YpSFGmgmqVMd1Eu1lVGrOBE4K3VRhQtmIDrBjaERDVF42O3RCjozSJ0EsTUWazNSvExkNlRqHvukMqR6qn95U/MvrpDqoeBmPklRjxOaLglQQHZPp16TPJTItxoZQJrm5lbAhlZRpk03BhPD5KfmfNE9s17HderlUvVjEkYcDOIRjcOEMqnAFNWgAA4R7eIQn69Z6sJ6tl3lrzlrM7MM3WK8fPt+NOA==</latexit><latexit sha1_base64="dMC2sigCJfmXZcfWdW2STjaMpug=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIwIsHDwmYBZIh9HRqkjY9C909QhjyBV48KOLVT/Lm39hZBNcHBY/3qqiq5yeCK+0471ZuaXlldS2/XtjY3NreKe7uNVWcSoYNFotYtn2qUPAIG5prge1EIg19gS1/dDn1W3coFY+jGz1O0AvpIOIBZ1QbqX7dK5Yc+7xy6lbK5DdxbWeGEixQ6xXfuv2YpSFGmgmqVMd1Eu1lVGrOBE4K3VRhQtmIDrBjaERDVF42O3RCjozSJ0EsTUWazNSvExkNlRqHvukMqR6qn95U/MvrpDqoeBmPklRjxOaLglQQHZPp16TPJTItxoZQJrm5lbAhlZRpk03BhPD5KfmfNE9s17HderlUvVjEkYcDOIRjcOEMqnAFNWgAA4R7eIQn69Z6sJ6tl3lrzlrM7MM3WK8fPt+NOA==</latexit> A<latexit sha1_base64="bKCw6X9Y2pY/gNh+XpauJ0GZmpw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS459Xjl1K2Xym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHVS8jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aJ7br2G69XKpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8uM40t</latexit><latexit sha1_base64="bKCw6X9Y2pY/gNh+XpauJ0GZmpw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS459Xjl1K2Xym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHVS8jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aJ7br2G69XKpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8uM40t</latexit><latexit sha1_base64="bKCw6X9Y2pY/gNh+XpauJ0GZmpw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS459Xjl1K2Xym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHVS8jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aJ7br2G69XKpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8uM40t</latexit><latexit sha1_base64="bKCw6X9Y2pY/gNh+XpauJ0GZmpw=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmYkaLxIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS459Xjl1K2Xym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHVS8jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aJ7br2G69XKpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8uM40t</latexit> Task Notation If is any text and is a permutation of , then means the text obtained by applying to . (C)<latexit sha1_base64="tbn9sCdQ/7rgpmPnhzcEJeaRml4=">AAAB8HicdVDJSgNBEK1xjXGLevTSGIR4GWaioLlIIBePEcwiyRB6Oj1Jk+6eobtHCEO+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3VlaXlldW89t5De3tnd2C3v7TR2nitAGiXms2iHWlDNJG4YZTtuJoliEnLbCUW3qt+6o0iyWN2ac0EDggWQRI9hY6bY7wkmCS7WTXqHouZVK+dSvoN/Ed70ZirBAvVd46/ZjkgoqDeFY647vJSbIsDKMcDrJd1NNE0xGeEA7lkosqA6y2cETdGyVPopiZUsaNFO/TmRYaD0Woe0U2Az1T28q/uV1UhNdBBmTSWqoJPNFUcqRidH0e9RnihLDx5Zgopi9FZEhVpgYm1HehvD5KfqfNMuu77n+9VmxermIIweHcAQl8OEcqnAFdWgAAQH38AhPjnIenGfnZd665CxmDuAbnNcPe26QMA==</latexit><latexit sha1_base64="tbn9sCdQ/7rgpmPnhzcEJeaRml4=">AAAB8HicdVDJSgNBEK1xjXGLevTSGIR4GWaioLlIIBePEcwiyRB6Oj1Jk+6eobtHCEO+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3VlaXlldW89t5De3tnd2C3v7TR2nitAGiXms2iHWlDNJG4YZTtuJoliEnLbCUW3qt+6o0iyWN2ac0EDggWQRI9hY6bY7wkmCS7WTXqHouZVK+dSvoN/Ed70ZirBAvVd46/ZjkgoqDeFY647vJSbIsDKMcDrJd1NNE0xGeEA7lkosqA6y2cETdGyVPopiZUsaNFO/TmRYaD0Woe0U2Az1T28q/uV1UhNdBBmTSWqoJPNFUcqRidH0e9RnihLDx5Zgopi9FZEhVpgYm1HehvD5KfqfNMuu77n+9VmxermIIweHcAQl8OEcqnAFdWgAAQH38AhPjnIenGfnZd665CxmDuAbnNcPe26QMA==</latexit><latexit sha1_base64="tbn9sCdQ/7rgpmPnhzcEJeaRml4=">AAAB8HicdVDJSgNBEK1xjXGLevTSGIR4GWaioLlIIBePEcwiyRB6Oj1Jk+6eobtHCEO+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3VlaXlldW89t5De3tnd2C3v7TR2nitAGiXms2iHWlDNJG4YZTtuJoliEnLbCUW3qt+6o0iyWN2ac0EDggWQRI9hY6bY7wkmCS7WTXqHouZVK+dSvoN/Ed70ZirBAvVd46/ZjkgoqDeFY647vJSbIsDKMcDrJd1NNE0xGeEA7lkosqA6y2cETdGyVPopiZUsaNFO/TmRYaD0Woe0U2Az1T28q/uV1UhNdBBmTSWqoJPNFUcqRidH0e9RnihLDx5Zgopi9FZEhVpgYm1HehvD5KfqfNMuu77n+9VmxermIIweHcAQl8OEcqnAFdWgAAQH38AhPjnIenGfnZd665CxmDuAbnNcPe26QMA==</latexit><latexit sha1_base64="tbn9sCdQ/7rgpmPnhzcEJeaRml4=">AAAB8HicdVDJSgNBEK1xjXGLevTSGIR4GWaioLlIIBePEcwiyRB6Oj1Jk+6eobtHCEO+wosHRbz6Od78GzuL4Pqg4PFeFVX1woQzbTzv3VlaXlldW89t5De3tnd2C3v7TR2nitAGiXms2iHWlDNJG4YZTtuJoliEnLbCUW3qt+6o0iyWN2ac0EDggWQRI9hY6bY7wkmCS7WTXqHouZVK+dSvoN/Ed70ZirBAvVd46/ZjkgoqDeFY647vJSbIsDKMcDrJd1NNE0xGeEA7lkosqA6y2cETdGyVPopiZUsaNFO/TmRYaD0Woe0U2Az1T28q/uV1UhNdBBmTSWqoJPNFUcqRidH0e9RnihLDx5Zgopi9FZEhVpgYm1HehvD5KfqfNMuu77n+9VmxermIIweHcAQl8OEcqnAFdWgAAQH38AhPjnIenGfnZd665CxmDuAbnNcPe26QMA==</latexit> <latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit><latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit><latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit><latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit> A<latexit sha1_base64="1Gli1Jl7O5WG/SIN1GE8lDn5sOo=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZRP3Ar5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDs69jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8hIo0k</latexit><latexit sha1_base64="1Gli1Jl7O5WG/SIN1GE8lDn5sOo=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZRP3Ar5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDs69jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8hIo0k</latexit><latexit sha1_base64="1Gli1Jl7O5WG/SIN1GE8lDn5sOo=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZRP3Ar5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDs69jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8hIo0k</latexit><latexit sha1_base64="1Gli1Jl7O5WG/SIN1GE8lDn5sOo=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZRP3Ar5TVzbmaEEC9R6xbduP2ZpiJFmgirVcZ1EexmVmjOBk0I3VZhQNqID7Bga0RCVl80OnZAjo/RJEEtTkSYz9etERkOlxqFvOkOqh+qnNxX/8jqpDs69jEdJqjFi80VBKoiOyfRr0ucSmRZjQyiT3NxK2JBKyrTJpmBC+PyU/E+aZdt1bLd+WqpeLOLIwwEcwjG4cAZVuIYaNIABwj08wpN1az1Yz9bLvDVnLWb24Rus1w8hIo0k</latexit> C<latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="oGqThvvwlbtJIBi4VflGTZ7jnbE=">AAAB3XicbZBLSwMxFIXv1FetVatbN8EiuCozbnQpdOOyBfuAtpRMeqeNzWSG5I5Qhv4CNy4U8W+589+YPhbaeiDwcU5C7j1hqqQl3//2Cju7e/sHxcPSUfn45LRyVm7bJDMCWyJRiemG3KKSGlskSWE3NcjjUGEnnNYXeecZjZWJfqRZioOYj7WMpODkrGZ9WKn6NX8ptg3BGqqwVmNY+eqPEpHFqEkobm0v8FMa5NyQFArnpX5mMeViysfYc6h5jHaQLwedsyvnjFiUGHc0saX7+0XOY2tncehuxpwmdjNbmP9lvYyiu0EudZoRarH6KMoUo4QttmYjaVCQmjngwkg3KxMTbrgg103JlRBsrrwN7Zta4NeCpg9FuIBLuIYAbuEeHqABLRCA8AJv8O49ea/ex6qugrfu7Rz+yPv8AYOGi3Q=</latexit><latexit sha1_base64="K4+fD0WP0t1Ld50UrpQ/JzE+l/I=">AAAB3XicdVDLSgNBEOyNrxijRq9eBoPgadmNB81NyMVjAuYByRJmJ73JmNnZZWZWCEu+wIsHRfwtb/6Nk4fgs6ChqOqmuytMBdfG896dwsbm1vZOcbe0V94/OKwclTs6yRTDNktEonoh1Si4xLbhRmAvVUjjUGA3nDYWfvceleaJvDWzFIOYjiWPOKPGSq3GsFL13Hq9duHXyW/iu94SVVijOay8DUYJy2KUhgmqdd/3UhPkVBnOBM5Lg0xjStmUjrFvqaQx6iBfHjonZ1YZkShRtqQhS/XrRE5jrWdxaDtjaib6p7cQ//L6mYmugpzLNDMo2WpRlAliErL4moy4QmbEzBLKFLe3EjahijJjsynZED4/Jf+TTs31PddveVCEEziFc/DhEq7hBprQBgYID/AEz86d8+i8rOIqOOvcjuEbnNcPDr6L1w==</latexit><latexit sha1_base64="7/Gi8PqVrOucwOrOFxglnS6+U+I=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0w8aC4SyMVjAmaBZAg9nZqkTU/P0N0jhJAv8OJBEa9+kjf/xs4iuD4oeLxXRVW9MBVcG897d1ZW19Y3NnNb+e2d3b39wsFhUyeZYthgiUhUO6QaBZfYMNwIbKcKaRwKbIWj6sxv3aHSPJE3ZpxiENOB5BFn1FipXu0Vip5bLpfO/TL5TXzXm6MIS9R6hbduP2FZjNIwQbXu+F5qgglVhjOB03w305hSNqID7FgqaYw6mMwPnZJTq/RJlChb0pC5+nViQmOtx3FoO2NqhvqnNxP/8jqZiS6DCZdpZlCyxaIoE8QkZPY16XOFzIixJZQpbm8lbEgVZcZmk7chfH5K/ifNkut7rl/3ipWrZRw5OIYTOAMfLqAC11CDBjBAuIdHeHJunQfn2XlZtK44y5kj+Abn9QMi6o0i</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit> C<latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="oGqThvvwlbtJIBi4VflGTZ7jnbE=">AAAB3XicbZBLSwMxFIXv1FetVatbN8EiuCozbnQpdOOyBfuAtpRMeqeNzWSG5I5Qhv4CNy4U8W+589+YPhbaeiDwcU5C7j1hqqQl3//2Cju7e/sHxcPSUfn45LRyVm7bJDMCWyJRiemG3KKSGlskSWE3NcjjUGEnnNYXeecZjZWJfqRZioOYj7WMpODkrGZ9WKn6NX8ptg3BGqqwVmNY+eqPEpHFqEkobm0v8FMa5NyQFArnpX5mMeViysfYc6h5jHaQLwedsyvnjFiUGHc0saX7+0XOY2tncehuxpwmdjNbmP9lvYyiu0EudZoRarH6KMoUo4QttmYjaVCQmjngwkg3KxMTbrgg103JlRBsrrwN7Zta4NeCpg9FuIBLuIYAbuEeHqABLRCA8AJv8O49ea/ex6qugrfu7Rz+yPv8AYOGi3Q=</latexit><latexit sha1_base64="K4+fD0WP0t1Ld50UrpQ/JzE+l/I=">AAAB3XicdVDLSgNBEOyNrxijRq9eBoPgadmNB81NyMVjAuYByRJmJ73JmNnZZWZWCEu+wIsHRfwtb/6Nk4fgs6ChqOqmuytMBdfG896dwsbm1vZOcbe0V94/OKwclTs6yRTDNktEonoh1Si4xLbhRmAvVUjjUGA3nDYWfvceleaJvDWzFIOYjiWPOKPGSq3GsFL13Hq9duHXyW/iu94SVVijOay8DUYJy2KUhgmqdd/3UhPkVBnOBM5Lg0xjStmUjrFvqaQx6iBfHjonZ1YZkShRtqQhS/XrRE5jrWdxaDtjaib6p7cQ//L6mYmugpzLNDMo2WpRlAliErL4moy4QmbEzBLKFLe3EjahijJjsynZED4/Jf+TTs31PddveVCEEziFc/DhEq7hBprQBgYID/AEz86d8+i8rOIqOOvcjuEbnNcPDr6L1w==</latexit><latexit sha1_base64="7/Gi8PqVrOucwOrOFxglnS6+U+I=">AAAB6HicdVDJSgNBEK1xjXGLevTSGARPw0w8aC4SyMVjAmaBZAg9nZqkTU/P0N0jhJAv8OJBEa9+kjf/xs4iuD4oeLxXRVW9MBVcG897d1ZW19Y3NnNb+e2d3b39wsFhUyeZYthgiUhUO6QaBZfYMNwIbKcKaRwKbIWj6sxv3aHSPJE3ZpxiENOB5BFn1FipXu0Vip5bLpfO/TL5TXzXm6MIS9R6hbduP2FZjNIwQbXu+F5qgglVhjOB03w305hSNqID7FgqaYw6mMwPnZJTq/RJlChb0pC5+nViQmOtx3FoO2NqhvqnNxP/8jqZiS6DCZdpZlCyxaIoE8QkZPY16XOFzIixJZQpbm8lbEgVZcZmk7chfH5K/ifNkut7rl/3ipWrZRw5OIYTOAMfLqAC11CDBjBAuIdHeHJunQfn2XlZtK44y5kj+Abn9QMi6o0i</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit><latexit sha1_base64="VKx6lDX5UruQhHmuU9UvmKfsNo8=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmaioLlIIBePCZgFkiH0dGqSNj0L3T1CGPIFXjwo4tVP8ubf2FkE1wcFj/eqqKrnJ4Ir7TjvVm5ldW19I79Z2Nre2d0r7h+0VJxKhk0Wi1h2fKpQ8AibmmuBnUQiDX2BbX9cm/ntO5SKx9GNniTohXQY8YAzqo3UqPWLJceuVMpnboX8Jq7tzFGCJer94ltvELM0xEgzQZXquk6ivYxKzZnAaaGXKkwoG9Mhdg2NaIjKy+aHTsmJUQYkiKWpSJO5+nUio6FSk9A3nSHVI/XTm4l/ed1UB5dexqMk1RixxaIgFUTHZPY1GXCJTIuJIZRJbm4lbEQlZdpkUzAhfH5K/ietsu06tts4L1WvlnHk4QiO4RRcuIAqXEMdmsAA4R4e4cm6tR6sZ+tl0ZqzljOH8A3W6wckKo0m</latexit> <latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit><latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit><latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit><latexit sha1_base64="FHil9HpP0U4E98tEQ0QU+4+pSuA=">AAAB7XicdVDLSgMxFL1TX7W+qi7dBIvgapipgnYjBTcuK9gHtEPJpJk2NpOEJCOU0n9w40IRt/6PO//G9CH4PHDhcM693HtPrDgzNgjevdzS8srqWn69sLG5tb1T3N1rGJlpQutEcqlbMTaUM0HrlllOW0pTnMacNuPh5dRv3lFtmBQ3dqRolOK+YAkj2Dqp0RlipXC3WAr8SqV8ElbQbxL6wQwlWKDWLb51epJkKRWWcGxMOwyUjcZYW0Y4nRQ6maEKkyHu07ajAqfUROPZtRN05JQeSqR2JSyaqV8nxjg1ZpTGrjPFdmB+elPxL6+d2eQ8GjOhMksFmS9KMo6sRNPXUY9pSiwfOYKJZu5WRAZYY2JdQAUXwuen6H/SKPth4IfXp6XqxSKOPBzAIRxDCGdQhSuoQR0I3MI9PMKTJ70H79l7mbfmvMXMPnyD9/oBJHGPfg==</latexit>
38. 38. 3. Naive algorithm
39. 39. 3. Naive algorithm A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> Iterate over all permutations of until we get the right answer. Algorithm
40. 40. 3. Naive algorithm A<latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit><latexit sha1_base64="N+ImR/GzV2tF2To3J0P4l87wT6c=">AAAB6HicdVDJSgNBEK2JW4xb1KOXxiB4GmZEiblIxIvHBMwCyRB6OjVJm56F7h4hDPkCLx4U8eonefNv7CyC64OCx3tVVNXzE8GVdpx3K7e0vLK6ll8vbGxube8Ud/eaKk4lwwaLRSzbPlUoeIQNzbXAdiKRhr7Alj+6mvqtO5SKx9GNHifohXQQ8YAzqo1Uv+wVS45dqZw65TPym7i2M0MJFqj1im/dfszSECPNBFWq4zqJ9jIqNWcCJ4VuqjChbEQH2DE0oiEqL5sdOiFHRumTIJamIk1m6teJjIZKjUPfdIZUD9VPbyr+5XVSHZx7GY+SVGPE5ouCVBAdk+nXpM8lMi3GhlAmubmVsCGVlGmTTcGE8Pkp+Z80T2zXsd36aal6sYgjDwdwCMfgQhmqcA01aAADhHt4hCfr1nqwnq2XeWvOWszswzdYrx8lhI0n</latexit> Iterate over all permutations of until we get the right answer. 1. Set  := idA 2 Perm(A)<latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">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</latexit><latexit sha1_base64="6FUOvOxNzPJS9bf6hxSU+MZCmO0=">AAACH3icdVBNSyNBEO3xa934sdE97qXZIOglzEhc1wVF2YvHLGxUyIRQ06lok+6eobtGNgzzT7z4V7x4WJHFm/9mOzGCnw8KHu9VUVUvyZR0FIb3wdT0zOzch/mPlYXFpeVP1ZXVI5fmVmBLpCq1Jwk4VNJgiyQpPMksgk4UHieDnyP/+Bytk6n5TcMMOxpOjexLAeSlbvVbPIAsA/5jl8eEf8ikVoMqZK/sFgclj6V5pjfR6nL9YKNbrYX1nZ1GuL3FX5OoHo5RYxM0u9W7uJeKXKMhocC5dhRm1CnAkhQKy0qcO8xADOAU254a0Og6xfi/kq95pcf7qfVliI/VpxMFaOeGOvGdGujMvfRG4lteO6f+904hTZYTGvGwqJ8rTikfhcV70qIgNfQEhJX+Vi7OwIIgH2nFh/D4KX+fHG3Wo7Ae/WrU9vcmccyzL+wrW2cR22b77JA1WYsJdsGu2F92E1wG18Ft8O+hdSqYzHxmzxDc/wfvKKOL</latexit> Algorithm