use std::iter::FromIterator; const CRYPTOGRAM: &str = "MOMUD EKAPV TQEFM OEVHP AJMII CDCTI FGYAG JSPXY ALUYM NSMYH VUXJE LEPXJ FXGCM JHKDZ RYICU HYPUS PGIGM OIYHF WHTCQ KMLRD ITLXZ LJFVQ GHOLW CUHLO MDSOE KTALU VYLNZ RFGBX PHVGA LWQIS FGRPH JOOFW GUBYI LAPLA LCAFA AMKLG CETDW VOELJ IKGJB XPHVG ALWQC SNWBU BYHCU HKOCE XJEYK BQKVY KIIEH GRLGH XEOLW AWFOJ ILOVV RHPKD WIHKN ATUHN VRYAQ DIVHX FHRZV QWMWV LGSHN NLVZS JLAKI FHXUF XJLXM TBLQV RXXHR FZXGV LRAJI EXPRV OSMNP KEPDT LPRWM JAZPK LQUZA ALGZX GVLKL GJTUI ITDSU REZXJ ERXZS HMPST MTEOE PAPJH SMFNB YVQUZ AALGA YDNMP AQOWT UHDBV TSMUE UIMVH QGVRW AEFSP EMPVE PKXZY WLKJA GWALT VYYOB YIXOK IHPDS EVLEV RVSGB JOGYW FHKBL GLXYA MVKIS KIEHY IMAPX UOISK PVAGN MZHPW TTZPV XFCCD TUHJH WLAPF YULTB UXJLN SIJVV YOVDJ SOLXG TGRVO SFRII CTMKO JFCQF KTINQ BWVHG TENLH HOGCS PSFPV GJOKM SIFPR ZPAAS ATPTZ FTPPD PORRF TAXZP KALQA WMIUD BWNCT LEFKO ZQDLX BUXJL ASIMR PNMBF ZCYLV WAPVF QRHZV ZGZEF KBYIO OFXYE VOWGB BXVCB XBAWG LQKCM ICRRX MACUO IKHQU AJEGL OIJHH XPVZW JEWBA FWAML ZZRXJ EKAHV FASMU LVVUT TGK"; const FREQUENCIES: [f32; 26] = [ 0.08167, 0.01492, 0.02202, 0.04253, 0.12702, 0.02228, 0.02015, 0.06094, 0.06966, 0.00153, 0.01292, 0.04025, 0.02406, 0.06749, 0.07507, 0.01929, 0.00095, 0.05987, 0.06327, 0.09356, 0.02758, 0.00978, 0.02560, 0.00150, 0.01994, 0.00077, ]; fn best_match(a: &[f32]) -> u8 { let sum: f32 = a.iter().sum(); let mut best_fit = std::f32::MAX; let mut best_rotate = 0; for rotate in 0..=25 { let mut fit = 0.; for i in 0..=25 { let char_freq = FREQUENCIES[i]; let idx = (i + rotate as usize) % 26 as usize; let d = a[idx] / sum - char_freq; fit += d * d / char_freq; } if fit < best_fit { best_fit = fit; best_rotate = rotate; } } best_rotate } fn freq_every_nth(msg: &[u8], key: &mut [char]) -> f32 { let len = msg.len(); let interval = key.len(); let mut accu = [0.; 26]; for j in 0..interval { let mut out = [0.; 26]; for i in (j..len).step_by(interval) { let idx = msg[i] as usize; out[idx] += 1.; } let rot = best_match(&out); key[j] = char::from(rot + b'A'); for i in 0..=25 { let idx: usize = (i + rot as usize) % 26; accu[i] += out[idx]; } } let sum: f32 = accu.iter().sum(); let mut ret = 0.; for i in 0..=25 { let char_freq = FREQUENCIES[i]; let d = accu[i] / sum - char_freq; ret += d * d / char_freq; } ret } fn decrypt(text: &str, key: &str) -> String { let key_chars_cycle = key.as_bytes().iter().map(|b| *b as i32).cycle(); let is_ascii_uppercase = |c: &u8| (b'A'..=b'Z').contains(c); text.as_bytes() .iter() .filter(|c| is_ascii_uppercase(c)) .map(|b| *b as i32) .zip(key_chars_cycle) .fold(String::new(), |mut acc, (c, key_char)| { let ci: u8 = ((c - key_char + 26) % 26) as u8; acc.push(char::from(b'A' + ci)); acc }) } fn main() { let enc = CRYPTOGRAM .split_ascii_whitespace() .collect::>() .join(""); let cryptogram: Vec = enc.as_bytes().iter().map(|b| u8::from(b - b'A')).collect(); let mut best_fit = std::f32::MAX; let mut best_key = String::new(); for j in 1..=26 { let mut key = vec!['\0'; j]; let fit = freq_every_nth(&cryptogram, &mut key); let s_key = String::from_iter(key); // 'from_iter' is imported from std::iter::FromIterator; if fit < best_fit { best_fit = fit; best_key = s_key; } } println!("best key: {}", &best_key); println!("\nDecrypted text:\n{}", decrypt(&enc, &best_key)); }