diff options
Diffstat (limited to 'frozen_deps/Crypto/Util')
| -rw-r--r-- | frozen_deps/Crypto/Util/Counter.py | 127 | ||||
| -rw-r--r-- | frozen_deps/Crypto/Util/RFC1751.py | 365 | ||||
| -rw-r--r-- | frozen_deps/Crypto/Util/__init__.py | 37 | ||||
| -rwxr-xr-x | frozen_deps/Crypto/Util/_counter.cpython-38-x86_64-linux-gnu.so | bin | 0 -> 22856 bytes | |||
| -rw-r--r-- | frozen_deps/Crypto/Util/_number_new.py | 119 | ||||
| -rw-r--r-- | frozen_deps/Crypto/Util/asn1.py | 286 | ||||
| -rw-r--r-- | frozen_deps/Crypto/Util/number.py | 1456 | ||||
| -rw-r--r-- | frozen_deps/Crypto/Util/py3compat.py | 107 | ||||
| -rw-r--r-- | frozen_deps/Crypto/Util/randpool.py | 82 | ||||
| -rwxr-xr-x | frozen_deps/Crypto/Util/strxor.cpython-38-x86_64-linux-gnu.so | bin | 0 -> 16784 bytes | |||
| -rw-r--r-- | frozen_deps/Crypto/Util/winrandom.py | 28 |
11 files changed, 2607 insertions, 0 deletions
diff --git a/frozen_deps/Crypto/Util/Counter.py b/frozen_deps/Crypto/Util/Counter.py new file mode 100644 index 0000000..f0460e5 --- /dev/null +++ b/frozen_deps/Crypto/Util/Counter.py @@ -0,0 +1,127 @@ +# -*- coding: ascii -*- +# +# Util/Counter.py : Fast counter for use with CTR-mode ciphers +# +# Written in 2008 by Dwayne C. Litzenberger <[email protected]> +# +# =================================================================== +# The contents of this file are dedicated to the public domain. To +# the extent that dedication to the public domain is not available, +# everyone is granted a worldwide, perpetual, royalty-free, +# non-exclusive license to exercise all rights associated with the +# contents of this file for any purpose whatsoever. +# No rights are reserved. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND +# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS +# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN +# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN +# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +# =================================================================== +"""Fast counter functions for CTR cipher modes. + +CTR is a chaining mode for symmetric block encryption or decryption. +Messages are divideded into blocks, and the cipher operation takes +place on each block using the secret key and a unique *counter block*. + +The most straightforward way to fulfil the uniqueness property is +to start with an initial, random *counter block* value, and increment it as +the next block is processed. + +The block ciphers from `Crypto.Cipher` (when configured in *MODE_CTR* mode) +invoke a callable object (the *counter* parameter) to get the next *counter block*. +Unfortunately, the Python calling protocol leads to major performance degradations. + +The counter functions instantiated by this module will be invoked directly +by the ciphers in `Crypto.Cipher`. The fact that the Python layer is bypassed +lead to more efficient (and faster) execution of CTR cipher modes. + +An example of usage is the following: + + >>> from Crypto.Cipher import AES + >>> from Crypto.Util import Counter + >>> + >>> pt = b'\x00'*1000000 + >>> ctr = Counter.new(128) + >>> cipher = AES.new(b'\x00'*16, AES.MODE_CTR, counter=ctr) + >>> ct = cipher.encrypt(pt) + +:undocumented: __package__ +""" +import sys +if sys.version_info[0] == 2 and sys.version_info[1] == 1: + from Crypto.Util.py21compat import * +from Crypto.Util.py3compat import * + +from Crypto.Util import _counter +import struct + +# Factory function +def new(nbits, prefix=b(""), suffix=b(""), initial_value=1, overflow=0, little_endian=False, allow_wraparound=False, disable_shortcut=False): + """Create a stateful counter block function suitable for CTR encryption modes. + + Each call to the function returns the next counter block. + Each counter block is made up by three parts:: + + prefix || counter value || postfix + + The counter value is incremented by one at each call. + + :Parameters: + nbits : integer + Length of the desired counter, in bits. It must be a multiple of 8. + prefix : byte string + The constant prefix of the counter block. By default, no prefix is + used. + suffix : byte string + The constant postfix of the counter block. By default, no suffix is + used. + initial_value : integer + The initial value of the counter. Default value is 1. + little_endian : boolean + If True, the counter number will be encoded in little endian format. + If False (default), in big endian format. + allow_wraparound : boolean + If True, the function will raise an *OverflowError* exception as soon + as the counter wraps around. If False (default), the counter will + simply restart from zero. + disable_shortcut : boolean + If True, do not make ciphers from `Crypto.Cipher` bypass the Python + layer when invoking the counter block function. + If False (default), bypass the Python layer. + :Returns: + The counter block function. + """ + + # Sanity-check the message size + (nbytes, remainder) = divmod(nbits, 8) + if remainder != 0: + # In the future, we might support arbitrary bit lengths, but for now we don't. + raise ValueError("nbits must be a multiple of 8; got %d" % (nbits,)) + if nbytes < 1: + raise ValueError("nbits too small") + elif nbytes > 0xffff: + raise ValueError("nbits too large") + + initval = _encode(initial_value, nbytes, little_endian) + + if little_endian: + return _counter._newLE(bstr(prefix), bstr(suffix), initval, allow_wraparound=allow_wraparound, disable_shortcut=disable_shortcut) + else: + return _counter._newBE(bstr(prefix), bstr(suffix), initval, allow_wraparound=allow_wraparound, disable_shortcut=disable_shortcut) + +def _encode(n, nbytes, little_endian=False): + retval = [] + n = int(n) + for i in range(nbytes): + if little_endian: + retval.append(bchr(n & 0xff)) + else: + retval.insert(0, bchr(n & 0xff)) + n >>= 8 + return b("").join(retval) + +# vim:set ts=4 sw=4 sts=4 expandtab: diff --git a/frozen_deps/Crypto/Util/RFC1751.py b/frozen_deps/Crypto/Util/RFC1751.py new file mode 100644 index 0000000..1c10c4a --- /dev/null +++ b/frozen_deps/Crypto/Util/RFC1751.py @@ -0,0 +1,365 @@ +# rfc1751.py : Converts between 128-bit strings and a human-readable +# sequence of words, as defined in RFC1751: "A Convention for +# Human-Readable 128-bit Keys", by Daniel L. McDonald. +# +# Part of the Python Cryptography Toolkit +# +# Written by Andrew M. Kuchling and others +# +# =================================================================== +# The contents of this file are dedicated to the public domain. To +# the extent that dedication to the public domain is not available, +# everyone is granted a worldwide, perpetual, royalty-free, +# non-exclusive license to exercise all rights associated with the +# contents of this file for any purpose whatsoever. +# No rights are reserved. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND +# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS +# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN +# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN +# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +# =================================================================== + +__revision__ = "$Id$" + + +import binascii +from Crypto.Util.py3compat import * +from functools import reduce + +binary={0:'0000', 1:'0001', 2:'0010', 3:'0011', 4:'0100', 5:'0101', + 6:'0110', 7:'0111', 8:'1000', 9:'1001', 10:'1010', 11:'1011', + 12:'1100', 13:'1101', 14:'1110', 15:'1111'} + +def _key2bin(s): + "Convert a key into a string of binary digits" + kl=[bord(x) for x in s] + kl=[binary[x>>4]+binary[x&15] for x in kl] + return ''.join(kl) + +def _extract(key, start, length): + """Extract a bitstring(2.x)/bytestring(2.x) from a string of binary digits, and return its + numeric value.""" + k=key[start:start+length] + return reduce(lambda x,y: x*2+ord(y)-48, k, 0) + +def key_to_english (key): + """key_to_english(key:string(2.x)/bytes(3.x)) : string + Transform an arbitrary key into a string containing English words. + The key length must be a multiple of 8. + """ + english='' + for index in range(0, len(key), 8): # Loop over 8-byte subkeys + subkey=key[index:index+8] + # Compute the parity of the key + skbin=_key2bin(subkey) ; p=0 + for i in range(0, 64, 2): p=p+_extract(skbin, i, 2) + # Append parity bits to the subkey + skbin=_key2bin(subkey+bchr((p<<6) & 255)) + for i in range(0, 64, 11): + english=english+wordlist[_extract(skbin, i, 11)]+' ' + + return english[:-1] # Remove the trailing space + +def english_to_key (s): + """english_to_key(string):string(2.x)/bytes(2.x) + Transform a string into a corresponding key. + The string must contain words separated by whitespace; the number + of words must be a multiple of 6. + """ + + L=s.upper().split() ; key=b('') + for index in range(0, len(L), 6): + sublist=L[index:index+6] ; char=9*[0] ; bits=0 + for i in sublist: + index = wordlist.index(i) + shift = (8-(bits+11)%8) %8 + y = index << shift + cl, cc, cr = (y>>16), (y>>8)&0xff, y & 0xff + if (shift>5): + char[bits>>3] = char[bits>>3] | cl + char[(bits>>3)+1] = char[(bits>>3)+1] | cc + char[(bits>>3)+2] = char[(bits>>3)+2] | cr + elif shift>-3: + char[bits>>3] = char[bits>>3] | cc + char[(bits>>3)+1] = char[(bits>>3)+1] | cr + else: char[bits>>3] = char[bits>>3] | cr + bits=bits+11 + subkey=reduce(lambda x,y:x+bchr(y), char, b('')) + + # Check the parity of the resulting key + skbin=_key2bin(subkey) + p=0 + for i in range(0, 64, 2): p=p+_extract(skbin, i, 2) + if (p&3) != _extract(skbin, 64, 2): + raise ValueError("Parity error in resulting key") + key=key+subkey[0:8] + return key + +wordlist=[ "A", "ABE", "ACE", "ACT", "AD", "ADA", "ADD", + "AGO", "AID", "AIM", "AIR", "ALL", "ALP", "AM", "AMY", "AN", "ANA", + "AND", "ANN", "ANT", "ANY", "APE", "APS", "APT", "ARC", "ARE", "ARK", + "ARM", "ART", "AS", "ASH", "ASK", "AT", "ATE", "AUG", "AUK", "AVE", + "AWE", "AWK", "AWL", "AWN", "AX", "AYE", "BAD", "BAG", "BAH", "BAM", + "BAN", "BAR", "BAT", "BAY", "BE", "BED", "BEE", "BEG", "BEN", "BET", + "BEY", "BIB", "BID", "BIG", "BIN", "BIT", "BOB", "BOG", "BON", "BOO", + "BOP", "BOW", "BOY", "BUB", "BUD", "BUG", "BUM", "BUN", "BUS", "BUT", + "BUY", "BY", "BYE", "CAB", "CAL", "CAM", "CAN", "CAP", "CAR", "CAT", + "CAW", "COD", "COG", "COL", "CON", "COO", "COP", "COT", "COW", "COY", + "CRY", "CUB", "CUE", "CUP", "CUR", "CUT", "DAB", "DAD", "DAM", "DAN", + "DAR", "DAY", "DEE", "DEL", "DEN", "DES", "DEW", "DID", "DIE", "DIG", + "DIN", "DIP", "DO", "DOE", "DOG", "DON", "DOT", "DOW", "DRY", "DUB", + "DUD", "DUE", "DUG", "DUN", "EAR", "EAT", "ED", "EEL", "EGG", "EGO", + "ELI", "ELK", "ELM", "ELY", "EM", "END", "EST", "ETC", "EVA", "EVE", + "EWE", "EYE", "FAD", "FAN", "FAR", "FAT", "FAY", "FED", "FEE", "FEW", + "FIB", "FIG", "FIN", "FIR", "FIT", "FLO", "FLY", "FOE", "FOG", "FOR", + "FRY", "FUM", "FUN", "FUR", "GAB", "GAD", "GAG", "GAL", "GAM", "GAP", + "GAS", "GAY", "GEE", "GEL", "GEM", "GET", "GIG", "GIL", "GIN", "GO", + "GOT", "GUM", "GUN", "GUS", "GUT", "GUY", "GYM", "GYP", "HA", "HAD", + "HAL", "HAM", "HAN", "HAP", "HAS", "HAT", "HAW", "HAY", "HE", "HEM", + "HEN", "HER", "HEW", "HEY", "HI", "HID", "HIM", "HIP", "HIS", "HIT", + "HO", "HOB", "HOC", "HOE", "HOG", "HOP", "HOT", "HOW", "HUB", "HUE", + "HUG", "HUH", "HUM", "HUT", "I", "ICY", "IDA", "IF", "IKE", "ILL", + "INK", "INN", "IO", "ION", "IQ", "IRA", "IRE", "IRK", "IS", "IT", + "ITS", "IVY", "JAB", "JAG", "JAM", "JAN", "JAR", "JAW", "JAY", "JET", + "JIG", "JIM", "JO", "JOB", "JOE", "JOG", "JOT", "JOY", "JUG", "JUT", + "KAY", "KEG", "KEN", "KEY", "KID", "KIM", "KIN", "KIT", "LA", "LAB", + "LAC", "LAD", "LAG", "LAM", "LAP", "LAW", "LAY", "LEA", "LED", "LEE", + "LEG", "LEN", "LEO", "LET", "LEW", "LID", "LIE", "LIN", "LIP", "LIT", + "LO", "LOB", "LOG", "LOP", "LOS", "LOT", "LOU", "LOW", "LOY", "LUG", + "LYE", "MA", "MAC", "MAD", "MAE", "MAN", "MAO", "MAP", "MAT", "MAW", + "MAY", "ME", "MEG", "MEL", "MEN", "MET", "MEW", "MID", "MIN", "MIT", + "MOB", "MOD", "MOE", "MOO", "MOP", "MOS", "MOT", "MOW", "MUD", "MUG", + "MUM", "MY", "NAB", "NAG", "NAN", "NAP", "NAT", "NAY", "NE", "NED", + "NEE", "NET", "NEW", "NIB", "NIL", "NIP", "NIT", "NO", "NOB", "NOD", + "NON", "NOR", "NOT", "NOV", "NOW", "NU", "NUN", "NUT", "O", "OAF", + "OAK", "OAR", "OAT", "ODD", "ODE", "OF", "OFF", "OFT", "OH", "OIL", + "OK", "OLD", "ON", "ONE", "OR", "ORB", "ORE", "ORR", "OS", "OTT", + "OUR", "OUT", "OVA", "OW", "OWE", "OWL", "OWN", "OX", "PA", "PAD", + "PAL", "PAM", "PAN", "PAP", "PAR", "PAT", "PAW", "PAY", "PEA", "PEG", + "PEN", "PEP", "PER", "PET", "PEW", "PHI", "PI", "PIE", "PIN", "PIT", + "PLY", "PO", "POD", "POE", "POP", "POT", "POW", "PRO", "PRY", "PUB", + "PUG", "PUN", "PUP", "PUT", "QUO", "RAG", "RAM", "RAN", "RAP", "RAT", + "RAW", "RAY", "REB", "RED", "REP", "RET", "RIB", "RID", "RIG", "RIM", + "RIO", "RIP", "ROB", "ROD", "ROE", "RON", "ROT", "ROW", "ROY", "RUB", + "RUE", "RUG", "RUM", "RUN", "RYE", "SAC", "SAD", "SAG", "SAL", "SAM", + "SAN", "SAP", "SAT", "SAW", "SAY", "SEA", "SEC", "SEE", "SEN", "SET", + "SEW", "SHE", "SHY", "SIN", "SIP", "SIR", "SIS", "SIT", "SKI", "SKY", + "SLY", "SO", "SOB", "SOD", "SON", "SOP", "SOW", "SOY", "SPA", "SPY", + "SUB", "SUD", "SUE", "SUM", "SUN", "SUP", "TAB", "TAD", "TAG", "TAN", + "TAP", "TAR", "TEA", "TED", "TEE", "TEN", "THE", "THY", "TIC", "TIE", + "TIM", "TIN", "TIP", "TO", "TOE", "TOG", "TOM", "TON", "TOO", "TOP", + "TOW", "TOY", "TRY", "TUB", "TUG", "TUM", "TUN", "TWO", "UN", "UP", + "US", "USE", "VAN", "VAT", "VET", "VIE", "WAD", "WAG", "WAR", "WAS", + "WAY", "WE", "WEB", "WED", "WEE", "WET", "WHO", "WHY", "WIN", "WIT", + "WOK", "WON", "WOO", "WOW", "WRY", "WU", "YAM", "YAP", "YAW", "YE", + "YEA", "YES", "YET", "YOU", "ABED", "ABEL", "ABET", "ABLE", "ABUT", + "ACHE", "ACID", "ACME", "ACRE", "ACTA", "ACTS", "ADAM", "ADDS", + "ADEN", "AFAR", "AFRO", "AGEE", "AHEM", "AHOY", "AIDA", "AIDE", + "AIDS", "AIRY", "AJAR", "AKIN", "ALAN", "ALEC", "ALGA", "ALIA", + "ALLY", "ALMA", "ALOE", "ALSO", "ALTO", "ALUM", "ALVA", "AMEN", + "AMES", "AMID", "AMMO", "AMOK", "AMOS", "AMRA", "ANDY", "ANEW", + "ANNA", "ANNE", "ANTE", "ANTI", "AQUA", "ARAB", "ARCH", "AREA", + "ARGO", "ARID", "ARMY", "ARTS", "ARTY", "ASIA", "ASKS", "ATOM", + "AUNT", "AURA", "AUTO", "AVER", "AVID", "AVIS", "AVON", "AVOW", + "AWAY", "AWRY", "BABE", "BABY", "BACH", "BACK", "BADE", "BAIL", + "BAIT", "BAKE", "BALD", "BALE", "BALI", "BALK", "BALL", "BALM", + "BAND", "BANE", "BANG", "BANK", "BARB", "BARD", "BARE", "BARK", + "BARN", "BARR", "BASE", "BASH", "BASK", "BASS", "BATE", "BATH", + "BAWD", "BAWL", "BEAD", "BEAK", "BEAM", "BEAN", "BEAR", "BEAT", + "BEAU", "BECK", "BEEF", "BEEN", "BEER", + "BEET", "BELA", "BELL", "BELT", "BEND", "BENT", "BERG", "BERN", + "BERT", "BESS", "BEST", "BETA", "BETH", "BHOY", "BIAS", "BIDE", + "BIEN", "BILE", "BILK", "BILL", "BIND", "BING", "BIRD", "BITE", + "BITS", "BLAB", "BLAT", "BLED", "BLEW", "BLOB", "BLOC", "BLOT", + "BLOW", "BLUE", "BLUM", "BLUR", "BOAR", "BOAT", "BOCA", "BOCK", + "BODE", "BODY", "BOGY", "BOHR", "BOIL", "BOLD", "BOLO", "BOLT", + "BOMB", "BONA", "BOND", "BONE", "BONG", "BONN", "BONY", "BOOK", + "BOOM", "BOON", "BOOT", "BORE", "BORG", "BORN", "BOSE", "BOSS", + "BOTH", "BOUT", "BOWL", "BOYD", "BRAD", "BRAE", "BRAG", "BRAN", + "BRAY", "BRED", "BREW", "BRIG", "BRIM", "BROW", "BUCK", "BUDD", + "BUFF", "BULB", "BULK", "BULL", "BUNK", "BUNT", "BUOY", "BURG", + "BURL", "BURN", "BURR", "BURT", "BURY", "BUSH", "BUSS", "BUST", + "BUSY", "BYTE", "CADY", "CAFE", "CAGE", "CAIN", "CAKE", "CALF", + "CALL", "CALM", "CAME", "CANE", "CANT", "CARD", "CARE", "CARL", + "CARR", "CART", "CASE", "CASH", "CASK", "CAST", "CAVE", "CEIL", + "CELL", "CENT", "CERN", "CHAD", "CHAR", "CHAT", "CHAW", "CHEF", + "CHEN", "CHEW", "CHIC", "CHIN", "CHOU", "CHOW", "CHUB", "CHUG", + "CHUM", "CITE", "CITY", "CLAD", "CLAM", "CLAN", "CLAW", "CLAY", + "CLOD", "CLOG", "CLOT", "CLUB", "CLUE", "COAL", "COAT", "COCA", + "COCK", "COCO", "CODA", "CODE", "CODY", "COED", "COIL", "COIN", + "COKE", "COLA", "COLD", "COLT", "COMA", "COMB", "COME", "COOK", + "COOL", "COON", "COOT", "CORD", "CORE", "CORK", "CORN", "COST", + "COVE", "COWL", "CRAB", "CRAG", "CRAM", "CRAY", "CREW", "CRIB", + "CROW", "CRUD", "CUBA", "CUBE", "CUFF", "CULL", "CULT", "CUNY", + "CURB", "CURD", "CURE", "CURL", "CURT", "CUTS", "DADE", "DALE", + "DAME", "DANA", "DANE", "DANG", "DANK", "DARE", "DARK", "DARN", + "DART", "DASH", "DATA", "DATE", "DAVE", "DAVY", "DAWN", "DAYS", + "DEAD", "DEAF", "DEAL", "DEAN", "DEAR", "DEBT", "DECK", "DEED", + "DEEM", "DEER", "DEFT", "DEFY", "DELL", "DENT", "DENY", "DESK", + "DIAL", "DICE", "DIED", "DIET", "DIME", "DINE", "DING", "DINT", + "DIRE", "DIRT", "DISC", "DISH", "DISK", "DIVE", "DOCK", "DOES", + "DOLE", "DOLL", "DOLT", "DOME", "DONE", "DOOM", "DOOR", "DORA", + "DOSE", "DOTE", "DOUG", "DOUR", "DOVE", "DOWN", "DRAB", "DRAG", + "DRAM", "DRAW", "DREW", "DRUB", "DRUG", "DRUM", "DUAL", "DUCK", + "DUCT", "DUEL", "DUET", "DUKE", "DULL", "DUMB", "DUNE", "DUNK", + "DUSK", "DUST", "DUTY", "EACH", "EARL", "EARN", "EASE", "EAST", + "EASY", "EBEN", "ECHO", "EDDY", "EDEN", "EDGE", "EDGY", "EDIT", + "EDNA", "EGAN", "ELAN", "ELBA", "ELLA", "ELSE", "EMIL", "EMIT", + "EMMA", "ENDS", "ERIC", "EROS", "EVEN", "EVER", "EVIL", "EYED", + "FACE", "FACT", "FADE", "FAIL", "FAIN", "FAIR", "FAKE", "FALL", + "FAME", "FANG", "FARM", "FAST", "FATE", "FAWN", "FEAR", "FEAT", + "FEED", "FEEL", "FEET", "FELL", "FELT", "FEND", "FERN", "FEST", + "FEUD", "FIEF", "FIGS", "FILE", "FILL", "FILM", "FIND", "FINE", + "FINK", "FIRE", "FIRM", "FISH", "FISK", "FIST", "FITS", "FIVE", + "FLAG", "FLAK", "FLAM", "FLAT", "FLAW", "FLEA", "FLED", "FLEW", + "FLIT", "FLOC", "FLOG", "FLOW", "FLUB", "FLUE", "FOAL", "FOAM", + "FOGY", "FOIL", "FOLD", "FOLK", "FOND", "FONT", "FOOD", "FOOL", + "FOOT", "FORD", "FORE", "FORK", "FORM", "FORT", "FOSS", "FOUL", + "FOUR", "FOWL", "FRAU", "FRAY", "FRED", "FREE", "FRET", "FREY", + "FROG", "FROM", "FUEL", "FULL", "FUME", "FUND", "FUNK", "FURY", + "FUSE", "FUSS", "GAFF", "GAGE", "GAIL", "GAIN", "GAIT", "GALA", + "GALE", "GALL", "GALT", "GAME", "GANG", "GARB", "GARY", "GASH", + "GATE", "GAUL", "GAUR", "GAVE", "GAWK", "GEAR", "GELD", "GENE", + "GENT", "GERM", "GETS", "GIBE", "GIFT", "GILD", "GILL", "GILT", + "GINA", "GIRD", "GIRL", "GIST", "GIVE", "GLAD", "GLEE", "GLEN", + "GLIB", "GLOB", "GLOM", "GLOW", "GLUE", "GLUM", "GLUT", "GOAD", + "GOAL", "GOAT", "GOER", "GOES", "GOLD", "GOLF", "GONE", "GONG", + "GOOD", "GOOF", "GORE", "GORY", "GOSH", "GOUT", "GOWN", "GRAB", + "GRAD", "GRAY", "GREG", "GREW", "GREY", "GRID", "GRIM", "GRIN", + "GRIT", "GROW", "GRUB", "GULF", "GULL", "GUNK", "GURU", "GUSH", + "GUST", "GWEN", "GWYN", "HAAG", "HAAS", "HACK", "HAIL", "HAIR", + "HALE", "HALF", "HALL", "HALO", "HALT", "HAND", "HANG", "HANK", + "HANS", "HARD", "HARK", "HARM", "HART", "HASH", "HAST", "HATE", + "HATH", "HAUL", "HAVE", "HAWK", "HAYS", "HEAD", "HEAL", "HEAR", + "HEAT", "HEBE", "HECK", "HEED", "HEEL", "HEFT", "HELD", "HELL", + "HELM", "HERB", "HERD", "HERE", "HERO", "HERS", "HESS", "HEWN", + "HICK", "HIDE", "HIGH", "HIKE", "HILL", "HILT", "HIND", "HINT", + "HIRE", "HISS", "HIVE", "HOBO", "HOCK", "HOFF", "HOLD", "HOLE", + "HOLM", "HOLT", "HOME", "HONE", "HONK", "HOOD", "HOOF", "HOOK", + "HOOT", "HORN", "HOSE", "HOST", "HOUR", "HOVE", "HOWE", "HOWL", + "HOYT", "HUCK", "HUED", "HUFF", "HUGE", "HUGH", "HUGO", "HULK", + "HULL", "HUNK", "HUNT", "HURD", "HURL", "HURT", "HUSH", "HYDE", + "HYMN", "IBIS", "ICON", "IDEA", "IDLE", "IFFY", "INCA", "INCH", + "INTO", "IONS", "IOTA", "IOWA", "IRIS", "IRMA", "IRON", "ISLE", + "ITCH", "ITEM", "IVAN", "JACK", "JADE", "JAIL", "JAKE", "JANE", + "JAVA", "JEAN", "JEFF", "JERK", "JESS", "JEST", "JIBE", "JILL", + "JILT", "JIVE", "JOAN", "JOBS", "JOCK", "JOEL", "JOEY", "JOHN", + "JOIN", "JOKE", "JOLT", "JOVE", "JUDD", "JUDE", "JUDO", "JUDY", + "JUJU", "JUKE", "JULY", "JUNE", "JUNK", "JUNO", "JURY", "JUST", + "JUTE", "KAHN", "KALE", "KANE", "KANT", "KARL", "KATE", "KEEL", + "KEEN", "KENO", "KENT", "KERN", "KERR", "KEYS", "KICK", "KILL", + "KIND", "KING", "KIRK", "KISS", "KITE", "KLAN", "KNEE", "KNEW", + "KNIT", "KNOB", "KNOT", "KNOW", "KOCH", "KONG", "KUDO", "KURD", + "KURT", "KYLE", "LACE", "LACK", "LACY", "LADY", "LAID", "LAIN", + "LAIR", "LAKE", "LAMB", "LAME", "LAND", "LANE", "LANG", "LARD", + "LARK", "LASS", "LAST", "LATE", "LAUD", "LAVA", "LAWN", "LAWS", + "LAYS", "LEAD", "LEAF", "LEAK", "LEAN", "LEAR", "LEEK", "LEER", + "LEFT", "LEND", "LENS", "LENT", "LEON", "LESK", "LESS", "LEST", + "LETS", "LIAR", "LICE", "LICK", "LIED", "LIEN", "LIES", "LIEU", + "LIFE", "LIFT", "LIKE", "LILA", "LILT", "LILY", "LIMA", "LIMB", + "LIME", "LIND", "LINE", "LINK", "LINT", "LION", "LISA", "LIST", + "LIVE", "LOAD", "LOAF", "LOAM", "LOAN", "LOCK", "LOFT", "LOGE", + "LOIS", "LOLA", "LONE", "LONG", "LOOK", "LOON", "LOOT", "LORD", + "LORE", "LOSE", "LOSS", "LOST", "LOUD", "LOVE", "LOWE", "LUCK", + "LUCY", "LUGE", "LUKE", "LULU", "LUND", "LUNG", "LURA", "LURE", + "LURK", "LUSH", "LUST", "LYLE", "LYNN", "LYON", "LYRA", "MACE", + "MADE", "MAGI", "MAID", "MAIL", "MAIN", "MAKE", "MALE", "MALI", + "MALL", "MALT", "MANA", "MANN", "MANY", "MARC", "MARE", "MARK", + "MARS", "MART", "MARY", "MASH", "MASK", "MASS", "MAST", "MATE", + "MATH", "MAUL", "MAYO", "MEAD", "MEAL", "MEAN", "MEAT", "MEEK", + "MEET", "MELD", "MELT", "MEMO", "MEND", "MENU", "MERT", "MESH", + "MESS", "MICE", "MIKE", "MILD", "MILE", "MILK", "MILL", "MILT", + "MIMI", "MIND", "MINE", "MINI", "MINK", "MINT", "MIRE", "MISS", + "MIST", "MITE", "MITT", "MOAN", "MOAT", "MOCK", "MODE", "MOLD", + "MOLE", "MOLL", "MOLT", "MONA", "MONK", "MONT", "MOOD", "MOON", + "MOOR", "MOOT", "MORE", "MORN", "MORT", "MOSS", "MOST", "MOTH", + "MOVE", "MUCH", "MUCK", "MUDD", "MUFF", "MULE", "MULL", "MURK", + "MUSH", "MUST", "MUTE", "MUTT", "MYRA", "MYTH", "NAGY", "NAIL", + "NAIR", "NAME", "NARY", "NASH", "NAVE", "NAVY", "NEAL", "NEAR", + "NEAT", "NECK", "NEED", "NEIL", "NELL", "NEON", "NERO", "NESS", + "NEST", "NEWS", "NEWT", "NIBS", "NICE", "NICK", "NILE", "NINA", + "NINE", "NOAH", "NODE", "NOEL", "NOLL", "NONE", "NOOK", "NOON", + "NORM", "NOSE", "NOTE", "NOUN", "NOVA", "NUDE", "NULL", "NUMB", + "OATH", "OBEY", "OBOE", "ODIN", "OHIO", "OILY", "OINT", "OKAY", + "OLAF", "OLDY", "OLGA", "OLIN", "OMAN", "OMEN", "OMIT", "ONCE", + "ONES", "ONLY", "ONTO", "ONUS", "ORAL", "ORGY", "OSLO", "OTIS", + "OTTO", "OUCH", "OUST", "OUTS", "OVAL", "OVEN", "OVER", "OWLY", + "OWNS", "QUAD", "QUIT", "QUOD", "RACE", "RACK", "RACY", "RAFT", + "RAGE", "RAID", "RAIL", "RAIN", "RAKE", "RANK", "RANT", "RARE", + "RASH", "RATE", "RAVE", "RAYS", "READ", "REAL", "REAM", "REAR", + "RECK", "REED", "REEF", "REEK", "REEL", "REID", "REIN", "RENA", + "REND", "RENT", "REST", "RICE", "RICH", "RICK", "RIDE", "RIFT", + "RILL", "RIME", "RING", "RINK", "RISE", "RISK", "RITE", "ROAD", + "ROAM", "ROAR", "ROBE", "ROCK", "RODE", "ROIL", "ROLL", "ROME", + "ROOD", "ROOF", "ROOK", "ROOM", "ROOT", "ROSA", "ROSE", "ROSS", + "ROSY", "ROTH", "ROUT", "ROVE", "ROWE", "ROWS", "RUBE", "RUBY", + "RUDE", "RUDY", "RUIN", "RULE", "RUNG", "RUNS", "RUNT", "RUSE", + "RUSH", "RUSK", "RUSS", "RUST", "RUTH", "SACK", "SAFE", "SAGE", + "SAID", "SAIL", "SALE", "SALK", "SALT", "SAME", "SAND", "SANE", + "SANG", "SANK", "SARA", "SAUL", "SAVE", "SAYS", "SCAN", "SCAR", + "SCAT", "SCOT", "SEAL", "SEAM", "SEAR", "SEAT", "SEED", "SEEK", + "SEEM", "SEEN", "SEES", "SELF", "SELL", "SEND", "SENT", "SETS", + "SEWN", "SHAG", "SHAM", "SHAW", "SHAY", "SHED", "SHIM", "SHIN", + "SHOD", "SHOE", "SHOT", "SHOW", "SHUN", "SHUT", "SICK", "SIDE", + "SIFT", "SIGH", "SIGN", "SILK", "SILL", "SILO", "SILT", "SINE", + "SING", "SINK", "SIRE", "SITE", "SITS", "SITU", "SKAT", "SKEW", + "SKID", "SKIM", "SKIN", "SKIT", "SLAB", "SLAM", "SLAT", "SLAY", + "SLED", "SLEW", "SLID", "SLIM", "SLIT", "SLOB", "SLOG", "SLOT", + "SLOW", "SLUG", "SLUM", "SLUR", "SMOG", "SMUG", "SNAG", "SNOB", + "SNOW", "SNUB", "SNUG", "SOAK", "SOAR", "SOCK", "SODA", "SOFA", + "SOFT", "SOIL", "SOLD", "SOME", "SONG", "SOON", "SOOT", "SORE", + "SORT", "SOUL", "SOUR", "SOWN", "STAB", "STAG", "STAN", "STAR", + "STAY", "STEM", "STEW", "STIR", "STOW", "STUB", "STUN", "SUCH", + "SUDS", "SUIT", "SULK", "SUMS", "SUNG", "SUNK", "SURE", "SURF", + "SWAB", "SWAG", "SWAM", "SWAN", "SWAT", "SWAY", "SWIM", "SWUM", + "TACK", "TACT", "TAIL", "TAKE", "TALE", "TALK", "TALL", "TANK", + "TASK", "TATE", "TAUT", "TEAL", "TEAM", "TEAR", "TECH", "TEEM", + "TEEN", "TEET", "TELL", "TEND", "TENT", "TERM", "TERN", "TESS", + "TEST", "THAN", "THAT", "THEE", "THEM", "THEN", "THEY", "THIN", + "THIS", "THUD", "THUG", "TICK", "TIDE", "TIDY", "TIED", "TIER", + "TILE", "TILL", "TILT", "TIME", "TINA", "TINE", "TINT", "TINY", + "TIRE", "TOAD", "TOGO", "TOIL", "TOLD", "TOLL", "TONE", "TONG", + "TONY", "TOOK", "TOOL", "TOOT", "TORE", "TORN", "TOTE", "TOUR", + "TOUT", "TOWN", "TRAG", "TRAM", "TRAY", "TREE", "TREK", "TRIG", + "TRIM", "TRIO", "TROD", "TROT", "TROY", "TRUE", "TUBA", "TUBE", + "TUCK", "TUFT", "TUNA", "TUNE", "TUNG", "TURF", "TURN", "TUSK", + "TWIG", "TWIN", "TWIT", "ULAN", "UNIT", "URGE", "USED", "USER", + "USES", "UTAH", "VAIL", "VAIN", "VALE", "VARY", "VASE", "VAST", + "VEAL", "VEDA", "VEIL", "VEIN", "VEND", "VENT", "VERB", "VERY", + "VETO", "VICE", "VIEW", "VINE", "VISE", "VOID", "VOLT", "VOTE", + "WACK", "WADE", "WAGE", "WAIL", "WAIT", "WAKE", "WALE", "WALK", + "WALL", "WALT", "WAND", "WANE", "WANG", "WANT", "WARD", "WARM", + "WARN", "WART", "WASH", "WAST", "WATS", "WATT", "WAVE", "WAVY", + "WAYS", "WEAK", "WEAL", "WEAN", "WEAR", "WEED", "WEEK", "WEIR", + "WELD", "WELL", "WELT", "WENT", "WERE", "WERT", "WEST", "WHAM", + "WHAT", "WHEE", "WHEN", "WHET", "WHOA", "WHOM", "WICK", "WIFE", + "WILD", "WILL", "WIND", "WINE", "WING", "WINK", "WINO", "WIRE", + "WISE", "WISH", "WITH", "WOLF", "WONT", "WOOD", "WOOL", "WORD", + "WORE", "WORK", "WORM", "WORN", "WOVE", "WRIT", "WYNN", "YALE", + "YANG", "YANK", "YARD", "YARN", "YAWL", "YAWN", "YEAH", "YEAR", + "YELL", "YOGA", "YOKE" ] + +if __name__=='__main__': + data = [('EB33F77EE73D4053', 'TIDE ITCH SLOW REIN RULE MOT'), + ('CCAC2AED591056BE4F90FD441C534766', + 'RASH BUSH MILK LOOK BAD BRIM AVID GAFF BAIT ROT POD LOVE'), + ('EFF81F9BFBC65350920CDD7416DE8009', + 'TROD MUTE TAIL WARM CHAR KONG HAAG CITY BORE O TEAL AWL') + ] + + for key, words in data: + print('Trying key', key) + key=binascii.a2b_hex(key) + w2=key_to_english(key) + if w2!=words: + print('key_to_english fails on key', repr(key), ', producing', str(w2)) + k2=english_to_key(words) + if k2!=key: + print('english_to_key fails on key', repr(key), ', producing', repr(k2)) + + diff --git a/frozen_deps/Crypto/Util/__init__.py b/frozen_deps/Crypto/Util/__init__.py new file mode 100644 index 0000000..a3bef8a --- /dev/null +++ b/frozen_deps/Crypto/Util/__init__.py @@ -0,0 +1,37 @@ +# -*- coding: utf-8 -*- +# +# =================================================================== +# The contents of this file are dedicated to the public domain. To +# the extent that dedication to the public domain is not available, +# everyone is granted a worldwide, perpetual, royalty-free, +# non-exclusive license to exercise all rights associated with the +# contents of this file for any purpose whatsoever. +# No rights are reserved. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND +# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS +# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN +# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN +# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +# =================================================================== + +"""Miscellaneous modules + +Contains useful modules that don't belong into any of the +other Crypto.* subpackages. + +Crypto.Util.number Number-theoretic functions (primality testing, etc.) +Crypto.Util.randpool Random number generation +Crypto.Util.RFC1751 Converts between 128-bit keys and human-readable + strings of words. +Crypto.Util.asn1 Minimal support for ASN.1 DER encoding + +""" + +__all__ = ['randpool', 'RFC1751', 'number', 'strxor', 'asn1' ] + +__revision__ = "$Id$" + diff --git a/frozen_deps/Crypto/Util/_counter.cpython-38-x86_64-linux-gnu.so b/frozen_deps/Crypto/Util/_counter.cpython-38-x86_64-linux-gnu.so Binary files differnew file mode 100755 index 0000000..77cd132 --- /dev/null +++ b/frozen_deps/Crypto/Util/_counter.cpython-38-x86_64-linux-gnu.so diff --git a/frozen_deps/Crypto/Util/_number_new.py b/frozen_deps/Crypto/Util/_number_new.py new file mode 100644 index 0000000..5f29176 --- /dev/null +++ b/frozen_deps/Crypto/Util/_number_new.py @@ -0,0 +1,119 @@ +# -*- coding: ascii -*- +# +# Util/_number_new.py : utility functions +# +# Written in 2008 by Dwayne C. Litzenberger <[email protected]> +# +# =================================================================== +# The contents of this file are dedicated to the public domain. To +# the extent that dedication to the public domain is not available, +# everyone is granted a worldwide, perpetual, royalty-free, +# non-exclusive license to exercise all rights associated with the +# contents of this file for any purpose whatsoever. +# No rights are reserved. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND +# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS +# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN +# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN +# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +# =================================================================== + +## NOTE: Do not import this module directly. Import these functions from Crypto.Util.number. + +__revision__ = "$Id$" +__all__ = ['ceil_shift', 'ceil_div', 'floor_div', 'exact_log2', 'exact_div'] + +import sys +if sys.version_info[0] == 2 and sys.version_info[1] == 1: + from Crypto.Util.py21compat import * + +def ceil_shift(n, b): + """Return ceil(n / 2**b) without performing any floating-point or division operations. + + This is done by right-shifting n by b bits and incrementing the result by 1 + if any '1' bits were shifted out. + """ + if not isinstance(n, int) or not isinstance(b, int): + raise TypeError("unsupported operand type(s): %r and %r" % (type(n).__name__, type(b).__name__)) + + assert n >= 0 and b >= 0 # I haven't tested or even thought about negative values + mask = (1 << b) - 1 + if n & mask: + return (n >> b) + 1 + else: + return n >> b + +def ceil_div(a, b): + """Return ceil(a / b) without performing any floating-point operations.""" + + if not isinstance(a, int) or not isinstance(b, int): + raise TypeError("unsupported operand type(s): %r and %r" % (type(a).__name__, type(b).__name__)) + + (q, r) = divmod(a, b) + if r: + return q + 1 + else: + return q + +def floor_div(a, b): + if not isinstance(a, int) or not isinstance(b, int): + raise TypeError("unsupported operand type(s): %r and %r" % (type(a).__name__, type(b).__name__)) + + (q, r) = divmod(a, b) + return q + +def exact_log2(num): + """Find and return an integer i >= 0 such that num == 2**i. + + If no such integer exists, this function raises ValueError. + """ + + if not isinstance(num, int): + raise TypeError("unsupported operand type: %r" % (type(num).__name__,)) + + n = int(num) + if n <= 0: + raise ValueError("cannot compute logarithm of non-positive number") + + i = 0 + while n != 0: + if (n & 1) and n != 1: + raise ValueError("No solution could be found") + i += 1 + n >>= 1 + i -= 1 + + assert num == (1 << i) + return i + +def exact_div(p, d, allow_divzero=False): + """Find and return an integer n such that p == n * d + + If no such integer exists, this function raises ValueError. + + Both operands must be integers. + + If the second operand is zero, this function will raise ZeroDivisionError + unless allow_divzero is true (default: False). + """ + + if not isinstance(p, int) or not isinstance(d, int): + raise TypeError("unsupported operand type(s): %r and %r" % (type(p).__name__, type(d).__name__)) + + if d == 0 and allow_divzero: + n = 0 + if p != n * d: + raise ValueError("No solution could be found") + else: + (n, r) = divmod(p, d) + if r != 0: + raise ValueError("No solution could be found") + + assert p == n * d + return n + +# vim:set ts=4 sw=4 sts=4 expandtab: diff --git a/frozen_deps/Crypto/Util/asn1.py b/frozen_deps/Crypto/Util/asn1.py new file mode 100644 index 0000000..9a97d97 --- /dev/null +++ b/frozen_deps/Crypto/Util/asn1.py @@ -0,0 +1,286 @@ +# -*- coding: ascii -*- +# +# Util/asn1.py : Minimal support for ASN.1 DER binary encoding. +# +# =================================================================== +# The contents of this file are dedicated to the public domain. To +# the extent that dedication to the public domain is not available, +# everyone is granted a worldwide, perpetual, royalty-free, +# non-exclusive license to exercise all rights associated with the +# contents of this file for any purpose whatsoever. +# No rights are reserved. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND +# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS +# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN +# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN +# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +# =================================================================== + +from Crypto.Util.number import long_to_bytes, bytes_to_long +import sys +from Crypto.Util.py3compat import * + +__all__ = [ 'DerObject', 'DerInteger', 'DerOctetString', 'DerNull', 'DerSequence', 'DerObjectId' ] + +class DerObject: + """Base class for defining a single DER object. + + Instantiate this class ONLY when you have to decode a DER element. + """ + + # Known TAG types + typeTags = { 'SEQUENCE': 0x30, 'BIT STRING': 0x03, 'INTEGER': 0x02, + 'OCTET STRING': 0x04, 'NULL': 0x05, 'OBJECT IDENTIFIER': 0x06 } + + def __init__(self, ASN1Type=None, payload=b('')): + """Initialize the DER object according to a specific type. + + The ASN.1 type is either specified as the ASN.1 string (e.g. + 'SEQUENCE'), directly with its numerical tag or with no tag + at all (None).""" + if isInt(ASN1Type) or ASN1Type is None: + self.typeTag = ASN1Type + else: + if len(ASN1Type)==1: + self.typeTag = ord(ASN1Type) + else: + self.typeTag = self.typeTags.get(ASN1Type) + self.payload = payload + + def isType(self, ASN1Type): + return self.typeTags[ASN1Type]==self.typeTag + + def _lengthOctets(self, payloadLen): + """Return a byte string that encodes the given payload length (in + bytes) in a format suitable for a DER length tag (L). + """ + if payloadLen>127: + encoding = long_to_bytes(payloadLen) + return bchr(len(encoding)+128) + encoding + return bchr(payloadLen) + + def encode(self): + """Return a complete DER element, fully encoded as a TLV.""" + return bchr(self.typeTag) + self._lengthOctets(len(self.payload)) + self.payload + + def _decodeLen(self, idx, der): + """Given a (part of a) DER element, and an index to the first byte of + a DER length tag (L), return a tuple with the payload size, + and the index of the first byte of the such payload (V). + + Raises a ValueError exception if the DER length is invalid. + Raises an IndexError exception if the DER element is too short. + """ + length = bord(der[idx]) + if length<=127: + return (length,idx+1) + payloadLength = bytes_to_long(der[idx+1:idx+1+(length & 0x7F)]) + if payloadLength<=127: + raise ValueError("Not a DER length tag.") + return (payloadLength, idx+1+(length & 0x7F)) + + def decode(self, derEle, noLeftOvers=0): + """Decode a complete DER element, and re-initializes this + object with it. + + @param derEle A complete DER element. It must start with a DER T + tag. + @param noLeftOvers Indicate whether it is acceptable to complete the + parsing of the DER element and find that not all + bytes in derEle have been used. + @return Index of the first unused byte in the given DER element. + + Raises a ValueError exception in case of parsing errors. + Raises an IndexError exception if the DER element is too short. + """ + try: + self.typeTag = bord(derEle[0]) + if (self.typeTag & 0x1F)==0x1F: + raise ValueError("Unsupported DER tag") + (length,idx) = self._decodeLen(1, derEle) + if noLeftOvers and len(derEle) != (idx+length): + raise ValueError("Not a DER structure") + self.payload = derEle[idx:idx+length] + except IndexError: + raise ValueError("Not a valid DER SEQUENCE.") + return idx+length + +class DerInteger(DerObject): + def __init__(self, value = 0): + """Class to model an INTEGER DER element. + + Limitation: only non-negative values are supported. + """ + DerObject.__init__(self, 'INTEGER') + self.value = value + + def encode(self): + """Return a complete INTEGER DER element, fully encoded as a TLV.""" + self.payload = long_to_bytes(self.value) + if bord(self.payload[0])>127: + self.payload = bchr(0x00) + self.payload + return DerObject.encode(self) + + def decode(self, derEle, noLeftOvers=0): + """Decode a complete INTEGER DER element, and re-initializes this + object with it. + + @param derEle A complete INTEGER DER element. It must start with a DER + INTEGER tag. + @param noLeftOvers Indicate whether it is acceptable to complete the + parsing of the DER element and find that not all + bytes in derEle have been used. + @return Index of the first unused byte in the given DER element. + + Raises a ValueError exception if the DER element is not a + valid non-negative INTEGER. + Raises an IndexError exception if the DER element is too short. + """ + tlvLength = DerObject.decode(self, derEle, noLeftOvers) + if self.typeTag!=self.typeTags['INTEGER']: + raise ValueError ("Not a DER INTEGER.") + if bord(self.payload[0])>127: + raise ValueError ("Negative INTEGER.") + self.value = bytes_to_long(self.payload) + return tlvLength + +class DerSequence(DerObject): + """Class to model a SEQUENCE DER element. + + This object behave like a dynamic Python sequence. + Sub-elements that are INTEGERs, look like Python integers. + Any other sub-element is a binary string encoded as the complete DER + sub-element (TLV). + """ + + def __init__(self, startSeq=None): + """Initialize the SEQUENCE DER object. Always empty + initially.""" + DerObject.__init__(self, 'SEQUENCE') + if startSeq==None: + self._seq = [] + else: + self._seq = startSeq + + ## A few methods to make it behave like a python sequence + + def __delitem__(self, n): + del self._seq[n] + def __getitem__(self, n): + return self._seq[n] + def __setitem__(self, key, value): + self._seq[key] = value + def __setslice__(self,i,j,sequence): + self._seq[i:j] = sequence + def __delslice__(self,i,j): + del self._seq[i:j] + def __getslice__(self, i, j): + return self._seq[max(0, i):max(0, j)] + def __len__(self): + return len(self._seq) + def append(self, item): + return self._seq.append(item) + + def hasInts(self): + """Return the number of items in this sequence that are numbers.""" + return len(list(filter(isInt, self._seq))) + + def hasOnlyInts(self): + """Return True if all items in this sequence are numbers.""" + return self._seq and self.hasInts()==len(self._seq) + + def encode(self): + """Return the DER encoding for the ASN.1 SEQUENCE, containing + the non-negative integers and longs added to this object. + + Limitation: Raises a ValueError exception if it some elements + in the sequence are neither Python integers nor complete DER INTEGERs. + """ + self.payload = b('') + for item in self._seq: + try: + self.payload += item + except: + try: + self.payload += DerInteger(item).encode() + except: + raise ValueError("Trying to DER encode an unknown object") + return DerObject.encode(self) + + def decode(self, derEle, noLeftOvers=0): + """Decode a complete SEQUENCE DER element, and re-initializes this + object with it. + + @param derEle A complete SEQUENCE DER element. It must start with a DER + SEQUENCE tag. + @param noLeftOvers Indicate whether it is acceptable to complete the + parsing of the DER element and find that not all + bytes in derEle have been used. + @return Index of the first unused byte in the given DER element. + + DER INTEGERs are decoded into Python integers. Any other DER + element is not decoded. Its validity is not checked. + + Raises a ValueError exception if the DER element is not a + valid DER SEQUENCE. + Raises an IndexError exception if the DER element is too short. + """ + + self._seq = [] + try: + tlvLength = DerObject.decode(self, derEle, noLeftOvers) + if self.typeTag!=self.typeTags['SEQUENCE']: + raise ValueError("Not a DER SEQUENCE.") + # Scan one TLV at once + idx = 0 + while idx<len(self.payload): + typeTag = bord(self.payload[idx]) + if typeTag==self.typeTags['INTEGER']: + newInteger = DerInteger() + idx += newInteger.decode(self.payload[idx:]) + self._seq.append(newInteger.value) + else: + itemLen,itemIdx = self._decodeLen(idx+1,self.payload) + self._seq.append(self.payload[idx:itemIdx+itemLen]) + idx = itemIdx + itemLen + except IndexError: + raise ValueError("Not a valid DER SEQUENCE.") + return tlvLength + +class DerOctetString(DerObject): + def __init__(self, value = b('')): + DerObject.__init__(self, 'OCTET STRING') + self.payload = value + + def decode(self, derEle, noLeftOvers=0): + p = DerObject.decode(derEle, noLeftOvers) + if not self.isType("OCTET STRING"): + raise ValueError("Not a valid OCTET STRING.") + return p + +class DerNull(DerObject): + def __init__(self): + DerObject.__init__(self, 'NULL') + +class DerObjectId(DerObject): + def __init__(self): + DerObject.__init__(self, 'OBJECT IDENTIFIER') + + def decode(self, derEle, noLeftOvers=0): + p = DerObject.decode(derEle, noLeftOvers) + if not self.isType("OBJECT IDENTIFIER"): + raise ValueError("Not a valid OBJECT IDENTIFIER.") + return p + +def isInt(x): + test = 0 + try: + test += x + except TypeError: + return 0 + return 1 + diff --git a/frozen_deps/Crypto/Util/number.py b/frozen_deps/Crypto/Util/number.py new file mode 100644 index 0000000..0e1baa0 --- /dev/null +++ b/frozen_deps/Crypto/Util/number.py @@ -0,0 +1,1456 @@ +# +# number.py : Number-theoretic functions +# +# Part of the Python Cryptography Toolkit +# +# Written by Andrew M. Kuchling, Barry A. Warsaw, and others +# +# =================================================================== +# The contents of this file are dedicated to the public domain. To +# the extent that dedication to the public domain is not available, +# everyone is granted a worldwide, perpetual, royalty-free, +# non-exclusive license to exercise all rights associated with the +# contents of this file for any purpose whatsoever. +# No rights are reserved. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND +# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS +# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN +# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN +# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +# =================================================================== +# + +__revision__ = "$Id$" + +from Crypto.pct_warnings import GetRandomNumber_DeprecationWarning, PowmInsecureWarning +from warnings import warn as _warn +import math +import sys +from Crypto.Util.py3compat import * + +bignum = int +try: + from Crypto.PublicKey import _fastmath +except ImportError: + # For production, we are going to let import issues due to gmp/mpir shared + # libraries not loading slide silently and use slowmath. If you'd rather + # see an exception raised if _fastmath exists but cannot be imported, + # uncomment the below + # + # from distutils.sysconfig import get_config_var + # import inspect, os + # _fm_path = os.path.normpath(os.path.dirname(os.path.abspath( + # inspect.getfile(inspect.currentframe()))) + # +"/../../PublicKey/_fastmath"+get_config_var("SO")) + # if os.path.exists(_fm_path): + # raise ImportError("While the _fastmath module exists, importing "+ + # "it failed. This may point to the gmp or mpir shared library "+ + # "not being in the path. _fastmath was found at "+_fm_path) + _fastmath = None + +# You need libgmp v5 or later to get mpz_powm_sec. Warn if it's not available. +if _fastmath is not None and not _fastmath.HAVE_DECL_MPZ_POWM_SEC: + _warn("Not using mpz_powm_sec. You should rebuild using libgmp >= 5 to avoid timing attack vulnerability.", PowmInsecureWarning) + +# New functions +from ._number_new import * + +# Commented out and replaced with faster versions below +## def long2str(n): +## s='' +## while n>0: +## s=chr(n & 255)+s +## n=n>>8 +## return s + +## import types +## def str2long(s): +## if type(s)!=types.StringType: return s # Integers will be left alone +## return reduce(lambda x,y : x*256+ord(y), s, 0L) + +def size (N): + """size(N:long) : int + Returns the size of the number N in bits. + """ + bits = 0 + while N >> bits: + bits += 1 + return bits + +def getRandomNumber(N, randfunc=None): + """Deprecated. Use getRandomInteger or getRandomNBitInteger instead.""" + warnings.warn("Crypto.Util.number.getRandomNumber has confusing semantics"+ + "and has been deprecated. Use getRandomInteger or getRandomNBitInteger instead.", + GetRandomNumber_DeprecationWarning) + return getRandomNBitInteger(N, randfunc) + +def getRandomInteger(N, randfunc=None): + """getRandomInteger(N:int, randfunc:callable):long + Return a random number with at most N bits. + + If randfunc is omitted, then Random.new().read is used. + + This function is for internal use only and may be renamed or removed in + the future. + """ + if randfunc is None: + _import_Random() + randfunc = Random.new().read + + S = randfunc(N>>3) + odd_bits = N % 8 + if odd_bits != 0: + char = ord(randfunc(1)) >> (8-odd_bits) + S = bchr(char) + S + value = bytes_to_long(S) + return value + +def getRandomRange(a, b, randfunc=None): + """getRandomRange(a:int, b:int, randfunc:callable):long + Return a random number n so that a <= n < b. + + If randfunc is omitted, then Random.new().read is used. + + This function is for internal use only and may be renamed or removed in + the future. + """ + range_ = b - a - 1 + bits = size(range_) + value = getRandomInteger(bits, randfunc) + while value > range_: + value = getRandomInteger(bits, randfunc) + return a + value + +def getRandomNBitInteger(N, randfunc=None): + """getRandomInteger(N:int, randfunc:callable):long + Return a random number with exactly N-bits, i.e. a random number + between 2**(N-1) and (2**N)-1. + + If randfunc is omitted, then Random.new().read is used. + + This function is for internal use only and may be renamed or removed in + the future. + """ + value = getRandomInteger (N-1, randfunc) + value |= 2 ** (N-1) # Ensure high bit is set + assert size(value) >= N + return value + +def GCD(x,y): + """GCD(x:long, y:long): long + Return the GCD of x and y. + """ + x = abs(x) ; y = abs(y) + while x > 0: + x, y = y % x, x + return y + +def inverse(u, v): + """inverse(u:long, v:long):long + Return the inverse of u mod v. + """ + u3, v3 = int(u), int(v) + u1, v1 = 1, 0 + while v3 > 0: + q=divmod(u3, v3)[0] + u1, v1 = v1, u1 - v1*q + u3, v3 = v3, u3 - v3*q + while u1<0: + u1 = u1 + v + return u1 + +# Given a number of bits to generate and a random generation function, +# find a prime number of the appropriate size. + +def getPrime(N, randfunc=None): + """getPrime(N:int, randfunc:callable):long + Return a random N-bit prime number. + + If randfunc is omitted, then Random.new().read is used. + """ + if randfunc is None: + _import_Random() + randfunc = Random.new().read + + number=getRandomNBitInteger(N, randfunc) | 1 + while (not isPrime(number, randfunc=randfunc)): + number=number+2 + return number + + +def _rabinMillerTest(n, rounds, randfunc=None): + """_rabinMillerTest(n:long, rounds:int, randfunc:callable):int + Tests if n is prime. + Returns 0 when n is definitly composite. + Returns 1 when n is probably prime. + Returns 2 when n is definitly prime. + + If randfunc is omitted, then Random.new().read is used. + + This function is for internal use only and may be renamed or removed in + the future. + """ + # check special cases (n==2, n even, n < 2) + if n < 3 or (n & 1) == 0: + return n == 2 + # n might be very large so it might be beneficial to precalculate n-1 + n_1 = n - 1 + # determine m and b so that 2**b * m = n - 1 and b maximal + b = 0 + m = n_1 + while (m & 1) == 0: + b += 1 + m >>= 1 + + tested = [] + # we need to do at most n-2 rounds. + for i in range (min (rounds, n-2)): + # randomly choose a < n and make sure it hasn't been tested yet + a = getRandomRange (2, n, randfunc) + while a in tested: + a = getRandomRange (2, n, randfunc) + tested.append (a) + # do the rabin-miller test + z = pow (a, m, n) # (a**m) % n + if z == 1 or z == n_1: + continue + composite = 1 + for r in range (b): + z = (z * z) % n + if z == 1: + return 0 + elif z == n_1: + composite = 0 + break + if composite: + return 0 + return 1 + +def getStrongPrime(N, e=0, false_positive_prob=1e-6, randfunc=None): + """getStrongPrime(N:int, e:int, false_positive_prob:float, randfunc:callable):long + Return a random strong N-bit prime number. + In this context p is a strong prime if p-1 and p+1 have at + least one large prime factor. + N should be a multiple of 128 and > 512. + + If e is provided the returned prime p-1 will be coprime to e + and thus suitable for RSA where e is the public exponent. + + The optional false_positive_prob is the statistical probability + that true is returned even though it is not (pseudo-prime). + It defaults to 1e-6 (less than 1:1000000). + Note that the real probability of a false-positive is far less. This is + just the mathematically provable limit. + + randfunc should take a single int parameter and return that + many random bytes as a string. + If randfunc is omitted, then Random.new().read is used. + """ + # This function was implemented following the + # instructions found in the paper: + # "FAST GENERATION OF RANDOM, STRONG RSA PRIMES" + # by Robert D. Silverman + # RSA Laboratories + # May 17, 1997 + # which by the time of writing could be freely downloaded here: + # http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.17.2713&rep=rep1&type=pdf + + # Use the accelerator if available + if _fastmath is not None: + return _fastmath.getStrongPrime(int(N), int(e), false_positive_prob, + randfunc) + + if (N < 512) or ((N % 128) != 0): + raise ValueError ("bits must be multiple of 128 and > 512") + + rabin_miller_rounds = int(math.ceil(-math.log(false_positive_prob)/math.log(4))) + + # calculate range for X + # lower_bound = sqrt(2) * 2^{511 + 128*x} + # upper_bound = 2^{512 + 128*x} - 1 + x = (N - 512) >> 7; + # We need to approximate the sqrt(2) in the lower_bound by an integer + # expression because floating point math overflows with these numbers + lower_bound = divmod(14142135623730950489 * (2 ** (511 + 128*x)), + 10000000000000000000)[0] + upper_bound = (1 << (512 + 128*x)) - 1 + # Randomly choose X in calculated range + X = getRandomRange (lower_bound, upper_bound, randfunc) + + # generate p1 and p2 + p = [0, 0] + for i in (0, 1): + # randomly choose 101-bit y + y = getRandomNBitInteger (101, randfunc) + # initialize the field for sieving + field = [0] * 5 * len (sieve_base) + # sieve the field + for prime in sieve_base: + offset = y % prime + for j in range ((prime - offset) % prime, len (field), prime): + field[j] = 1 + + # look for suitable p[i] starting at y + result = 0 + for j in range(len(field)): + composite = field[j] + # look for next canidate + if composite: + continue + tmp = y + j + result = _rabinMillerTest (tmp, rabin_miller_rounds) + if result > 0: + p[i] = tmp + break + if result == 0: + raise RuntimeError ("Couln't find prime in field. " + "Developer: Increase field_size") + + # Calculate R + # R = (p2^{-1} mod p1) * p2 - (p1^{-1} mod p2) * p1 + tmp1 = inverse (p[1], p[0]) * p[1] # (p2^-1 mod p1)*p2 + tmp2 = inverse (p[0], p[1]) * p[0] # (p1^-1 mod p2)*p1 + R = tmp1 - tmp2 # (p2^-1 mod p1)*p2 - (p1^-1 mod p2)*p1 + + # search for final prime number starting by Y0 + # Y0 = X + (R - X mod p1p2) + increment = p[0] * p[1] + X = X + (R - (X % increment)) + while 1: + is_possible_prime = 1 + # first check candidate against sieve_base + for prime in sieve_base: + if (X % prime) == 0: + is_possible_prime = 0 + break + # if e is given make sure that e and X-1 are coprime + # this is not necessarily a strong prime criterion but useful when + # creating them for RSA where the p-1 and q-1 should be coprime to + # the public exponent e + if e and is_possible_prime: + if e & 1: + if GCD (e, X-1) != 1: + is_possible_prime = 0 + else: + if GCD (e, divmod((X-1),2)[0]) != 1: + is_possible_prime = 0 + + # do some Rabin-Miller-Tests + if is_possible_prime: + result = _rabinMillerTest (X, rabin_miller_rounds) + if result > 0: + break + X += increment + # abort when X has more bits than requested + # TODO: maybe we shouldn't abort but rather start over. + if X >= 1 << N: + raise RuntimeError ("Couln't find prime in field. " + "Developer: Increase field_size") + return X + +def isPrime(N, false_positive_prob=1e-6, randfunc=None): + """isPrime(N:long, false_positive_prob:float, randfunc:callable):bool + Return true if N is prime. + + The optional false_positive_prob is the statistical probability + that true is returned even though it is not (pseudo-prime). + It defaults to 1e-6 (less than 1:1000000). + Note that the real probability of a false-positive is far less. This is + just the mathematically provable limit. + + If randfunc is omitted, then Random.new().read is used. + """ + if _fastmath is not None: + return _fastmath.isPrime(int(N), false_positive_prob, randfunc) + + if N < 3 or N & 1 == 0: + return N == 2 + for p in sieve_base: + if N == p: + return 1 + if N % p == 0: + return 0 + + rounds = int(math.ceil(-math.log(false_positive_prob)/math.log(4))) + return _rabinMillerTest(N, rounds, randfunc) + + +# Improved conversion functions contributed by Barry Warsaw, after +# careful benchmarking + +import struct + +def long_to_bytes(n, blocksize=0): + """long_to_bytes(n:long, blocksize:int) : string + Convert a long integer to a byte string. + + If optional blocksize is given and greater than zero, pad the front of the + byte string with binary zeros so that the length is a multiple of + blocksize. + """ + # after much testing, this algorithm was deemed to be the fastest + s = b('') + n = int(n) + pack = struct.pack + while n > 0: + s = pack('>I', n & 0xffffffff) + s + n = n >> 32 + # strip off leading zeros + for i in range(len(s)): + if s[i] != b('\000')[0]: + break + else: + # only happens when n == 0 + s = b('\000') + i = 0 + s = s[i:] + # add back some pad bytes. this could be done more efficiently w.r.t. the + # de-padding being done above, but sigh... + if blocksize > 0 and len(s) % blocksize: + s = (blocksize - len(s) % blocksize) * b('\000') + s + return s + +def bytes_to_long(s): + """bytes_to_long(string) : long + Convert a byte string to a long integer. + + This is (essentially) the inverse of long_to_bytes(). + """ + acc = 0 + unpack = struct.unpack + length = len(s) + if length % 4: + extra = (4 - length % 4) + s = b('\000') * extra + s + length = length + extra + for i in range(0, length, 4): + acc = (acc << 32) + unpack('>I', s[i:i+4])[0] + return acc + +# For backwards compatibility... +import warnings +def long2str(n, blocksize=0): + warnings.warn("long2str() has been replaced by long_to_bytes()") + return long_to_bytes(n, blocksize) +def str2long(s): + warnings.warn("str2long() has been replaced by bytes_to_long()") + return bytes_to_long(s) + +def _import_Random(): + # This is called in a function instead of at the module level in order to + # avoid problems with recursive imports + global Random, StrongRandom + from Crypto import Random + from Crypto.Random.random import StrongRandom + + + +# The first 10000 primes used for checking primality. +# This should be enough to eliminate most of the odd +# numbers before needing to do a Rabin-Miller test at all. +sieve_base = ( + 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, + 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, + 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, + 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, + 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, + 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, + 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, + 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, + 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, + 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, + 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, + 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, + 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, + 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, + 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, + 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, + 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, + 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, + 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, + 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, + 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, + 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, + 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, + 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, + 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, + 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, + 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, + 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, + 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, + 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, + 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, + 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, + 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, + 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, + 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, + 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, + 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, + 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, + 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, + 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, + 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, + 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, + 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, + 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, + 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, + 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, + 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, + 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, + 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, + 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, + 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, + 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, + 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, + 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, + 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, + 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, + 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, + 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, + 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, + 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, + 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, + 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, + 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, + 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, + 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, + 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, + 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, + 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, + 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, + 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, + 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, + 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, + 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, + 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, + 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, + 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, + 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, + 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, + 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, + 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, + 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, + 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, + 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, + 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, + 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, + 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, + 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, + 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, + 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, + 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, + 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, + 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, + 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, + 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, + 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, + 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, + 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, + 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, + 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, + 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, + 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, + 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, + 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, + 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, + 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, + 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, + 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, + 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, + 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, + 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, + 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, + 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, + 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, + 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, + 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, + 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, + 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, + 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533, + 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, + 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, + 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, + 9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, + 9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007, + 10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, + 10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, 10169, 10177, + 10181, 10193, 10211, 10223, 10243, 10247, 10253, 10259, 10267, 10271, + 10273, 10289, 10301, 10303, 10313, 10321, 10331, 10333, 10337, 10343, + 10357, 10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, + 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 10559, 10567, + 10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 10657, + 10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, + 10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, + 10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, + 10957, 10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, + 11069, 11071, 11083, 11087, 11093, 11113, 11117, 11119, 11131, 11149, + 11159, 11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, + 11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329, + 11351, 11353, 11369, 11383, 11393, 11399, 11411, 11423, 11437, 11443, + 11447, 11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527, + 11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, + 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 11777, + 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, + 11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, + 11939, 11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, + 12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, + 12113, 12119, 12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211, + 12227, 12239, 12241, 12251, 12253, 12263, 12269, 12277, 12281, 12289, + 12301, 12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, + 12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, 12479, 12487, + 12491, 12497, 12503, 12511, 12517, 12527, 12539, 12541, 12547, 12553, + 12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 12637, 12641, + 12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, + 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829, + 12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923, + 12941, 12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, + 13009, 13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, + 13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187, + 13217, 13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309, + 13313, 13327, 13331, 13337, 13339, 13367, 13381, 13397, 13399, 13411, + 13417, 13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499, + 13513, 13523, 13537, 13553, 13567, 13577, 13591, 13597, 13613, 13619, + 13627, 13633, 13649, 13669, 13679, 13681, 13687, 13691, 13693, 13697, + 13709, 13711, 13721, 13723, 13729, 13751, 13757, 13759, 13763, 13781, + 13789, 13799, 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879, + 13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, 13963, 13967, + 13997, 13999, 14009, 14011, 14029, 14033, 14051, 14057, 14071, 14081, + 14083, 14087, 14107, 14143, 14149, 14153, 14159, 14173, 14177, 14197, + 14207, 14221, 14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323, + 14327, 14341, 14347, 14369, 14387, 14389, 14401, 14407, 14411, 14419, + 14423, 14431, 14437, 14447, 14449, 14461, 14479, 14489, 14503, 14519, + 14533, 14537, 14543, 14549, 14551, 14557, 14561, 14563, 14591, 14593, + 14621, 14627, 14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699, + 14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753, 14759, 14767, + 14771, 14779, 14783, 14797, 14813, 14821, 14827, 14831, 14843, 14851, + 14867, 14869, 14879, 14887, 14891, 14897, 14923, 14929, 14939, 14947, + 14951, 14957, 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073, + 15077, 15083, 15091, 15101, 15107, 15121, 15131, 15137, 15139, 15149, + 15161, 15173, 15187, 15193, 15199, 15217, 15227, 15233, 15241, 15259, + 15263, 15269, 15271, 15277, 15287, 15289, 15299, 15307, 15313, 15319, + 15329, 15331, 15349, 15359, 15361, 15373, 15377, 15383, 15391, 15401, + 15413, 15427, 15439, 15443, 15451, 15461, 15467, 15473, 15493, 15497, + 15511, 15527, 15541, 15551, 15559, 15569, 15581, 15583, 15601, 15607, + 15619, 15629, 15641, 15643, 15647, 15649, 15661, 15667, 15671, 15679, + 15683, 15727, 15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773, + 15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859, 15877, 15881, + 15887, 15889, 15901, 15907, 15913, 15919, 15923, 15937, 15959, 15971, + 15973, 15991, 16001, 16007, 16033, 16057, 16061, 16063, 16067, 16069, + 16073, 16087, 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, + 16187, 16189, 16193, 16217, 16223, 16229, 16231, 16249, 16253, 16267, + 16273, 16301, 16319, 16333, 16339, 16349, 16361, 16363, 16369, 16381, + 16411, 16417, 16421, 16427, 16433, 16447, 16451, 16453, 16477, 16481, + 16487, 16493, 16519, 16529, 16547, 16553, 16561, 16567, 16573, 16603, + 16607, 16619, 16631, 16633, 16649, 16651, 16657, 16661, 16673, 16691, + 16693, 16699, 16703, 16729, 16741, 16747, 16759, 16763, 16787, 16811, + 16823, 16829, 16831, 16843, 16871, 16879, 16883, 16889, 16901, 16903, + 16921, 16927, 16931, 16937, 16943, 16963, 16979, 16981, 16987, 16993, + 17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053, 17077, 17093, + 17099, 17107, 17117, 17123, 17137, 17159, 17167, 17183, 17189, 17191, + 17203, 17207, 17209, 17231, 17239, 17257, 17291, 17293, 17299, 17317, + 17321, 17327, 17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389, + 17393, 17401, 17417, 17419, 17431, 17443, 17449, 17467, 17471, 17477, + 17483, 17489, 17491, 17497, 17509, 17519, 17539, 17551, 17569, 17573, + 17579, 17581, 17597, 17599, 17609, 17623, 17627, 17657, 17659, 17669, + 17681, 17683, 17707, 17713, 17729, 17737, 17747, 17749, 17761, 17783, + 17789, 17791, 17807, 17827, 17837, 17839, 17851, 17863, 17881, 17891, + 17903, 17909, 17911, 17921, 17923, 17929, 17939, 17957, 17959, 17971, + 17977, 17981, 17987, 17989, 18013, 18041, 18043, 18047, 18049, 18059, + 18061, 18077, 18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143, + 18149, 18169, 18181, 18191, 18199, 18211, 18217, 18223, 18229, 18233, + 18251, 18253, 18257, 18269, 18287, 18289, 18301, 18307, 18311, 18313, + 18329, 18341, 18353, 18367, 18371, 18379, 18397, 18401, 18413, 18427, + 18433, 18439, 18443, 18451, 18457, 18461, 18481, 18493, 18503, 18517, + 18521, 18523, 18539, 18541, 18553, 18583, 18587, 18593, 18617, 18637, + 18661, 18671, 18679, 18691, 18701, 18713, 18719, 18731, 18743, 18749, + 18757, 18773, 18787, 18793, 18797, 18803, 18839, 18859, 18869, 18899, + 18911, 18913, 18917, 18919, 18947, 18959, 18973, 18979, 19001, 19009, + 19013, 19031, 19037, 19051, 19069, 19073, 19079, 19081, 19087, 19121, + 19139, 19141, 19157, 19163, 19181, 19183, 19207, 19211, 19213, 19219, + 19231, 19237, 19249, 19259, 19267, 19273, 19289, 19301, 19309, 19319, + 19333, 19373, 19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423, + 19427, 19429, 19433, 19441, 19447, 19457, 19463, 19469, 19471, 19477, + 19483, 19489, 19501, 19507, 19531, 19541, 19543, 19553, 19559, 19571, + 19577, 19583, 19597, 19603, 19609, 19661, 19681, 19687, 19697, 19699, + 19709, 19717, 19727, 19739, 19751, 19753, 19759, 19763, 19777, 19793, + 19801, 19813, 19819, 19841, 19843, 19853, 19861, 19867, 19889, 19891, + 19913, 19919, 19927, 19937, 19949, 19961, 19963, 19973, 19979, 19991, + 19993, 19997, 20011, 20021, 20023, 20029, 20047, 20051, 20063, 20071, + 20089, 20101, 20107, 20113, 20117, 20123, 20129, 20143, 20147, 20149, + 20161, 20173, 20177, 20183, 20201, 20219, 20231, 20233, 20249, 20261, + 20269, 20287, 20297, 20323, 20327, 20333, 20341, 20347, 20353, 20357, + 20359, 20369, 20389, 20393, 20399, 20407, 20411, 20431, 20441, 20443, + 20477, 20479, 20483, 20507, 20509, 20521, 20533, 20543, 20549, 20551, + 20563, 20593, 20599, 20611, 20627, 20639, 20641, 20663, 20681, 20693, + 20707, 20717, 20719, 20731, 20743, 20747, 20749, 20753, 20759, 20771, + 20773, 20789, 20807, 20809, 20849, 20857, 20873, 20879, 20887, 20897, + 20899, 20903, 20921, 20929, 20939, 20947, 20959, 20963, 20981, 20983, + 21001, 21011, 21013, 21017, 21019, 21023, 21031, 21059, 21061, 21067, + 21089, 21101, 21107, 21121, 21139, 21143, 21149, 21157, 21163, 21169, + 21179, 21187, 21191, 21193, 21211, 21221, 21227, 21247, 21269, 21277, + 21283, 21313, 21317, 21319, 21323, 21341, 21347, 21377, 21379, 21383, + 21391, 21397, 21401, 21407, 21419, 21433, 21467, 21481, 21487, 21491, + 21493, 21499, 21503, 21517, 21521, 21523, 21529, 21557, 21559, 21563, + 21569, 21577, 21587, 21589, 21599, 21601, 21611, 21613, 21617, 21647, + 21649, 21661, 21673, 21683, 21701, 21713, 21727, 21737, 21739, 21751, + 21757, 21767, 21773, 21787, 21799, 21803, 21817, 21821, 21839, 21841, + 21851, 21859, 21863, 21871, 21881, 21893, 21911, 21929, 21937, 21943, + 21961, 21977, 21991, 21997, 22003, 22013, 22027, 22031, 22037, 22039, + 22051, 22063, 22067, 22073, 22079, 22091, 22093, 22109, 22111, 22123, + 22129, 22133, 22147, 22153, 22157, 22159, 22171, 22189, 22193, 22229, + 22247, 22259, 22271, 22273, 22277, 22279, 22283, 22291, 22303, 22307, + 22343, 22349, 22367, 22369, 22381, 22391, 22397, 22409, 22433, 22441, + 22447, 22453, 22469, 22481, 22483, 22501, 22511, 22531, 22541, 22543, + 22549, 22567, 22571, 22573, 22613, 22619, 22621, 22637, 22639, 22643, + 22651, 22669, 22679, 22691, 22697, 22699, 22709, 22717, 22721, 22727, + 22739, 22741, 22751, 22769, 22777, 22783, 22787, 22807, 22811, 22817, + 22853, 22859, 22861, 22871, 22877, 22901, 22907, 22921, 22937, 22943, + 22961, 22963, 22973, 22993, 23003, 23011, 23017, 23021, 23027, 23029, + 23039, 23041, 23053, 23057, 23059, 23063, 23071, 23081, 23087, 23099, + 23117, 23131, 23143, 23159, 23167, 23173, 23189, 23197, 23201, 23203, + 23209, 23227, 23251, 23269, 23279, 23291, 23293, 23297, 23311, 23321, + 23327, 23333, 23339, 23357, 23369, 23371, 23399, 23417, 23431, 23447, + 23459, 23473, 23497, 23509, 23531, 23537, 23539, 23549, 23557, 23561, + 23563, 23567, 23581, 23593, 23599, 23603, 23609, 23623, 23627, 23629, + 23633, 23663, 23669, 23671, 23677, 23687, 23689, 23719, 23741, 23743, + 23747, 23753, 23761, 23767, 23773, 23789, 23801, 23813, 23819, 23827, + 23831, 23833, 23857, 23869, 23873, 23879, 23887, 23893, 23899, 23909, + 23911, 23917, 23929, 23957, 23971, 23977, 23981, 23993, 24001, 24007, + 24019, 24023, 24029, 24043, 24049, 24061, 24071, 24077, 24083, 24091, + 24097, 24103, 24107, 24109, 24113, 24121, 24133, 24137, 24151, 24169, + 24179, 24181, 24197, 24203, 24223, 24229, 24239, 24247, 24251, 24281, + 24317, 24329, 24337, 24359, 24371, 24373, 24379, 24391, 24407, 24413, + 24419, 24421, 24439, 24443, 24469, 24473, 24481, 24499, 24509, 24517, + 24527, 24533, 24547, 24551, 24571, 24593, 24611, 24623, 24631, 24659, + 24671, 24677, 24683, 24691, 24697, 24709, 24733, 24749, 24763, 24767, + 24781, 24793, 24799, 24809, 24821, 24841, 24847, 24851, 24859, 24877, + 24889, 24907, 24917, 24919, 24923, 24943, 24953, 24967, 24971, 24977, + 24979, 24989, 25013, 25031, 25033, 25037, 25057, 25073, 25087, 25097, + 25111, 25117, 25121, 25127, 25147, 25153, 25163, 25169, 25171, 25183, + 25189, 25219, 25229, 25237, 25243, 25247, 25253, 25261, 25301, 25303, + 25307, 25309, 25321, 25339, 25343, 25349, 25357, 25367, 25373, 25391, + 25409, 25411, 25423, 25439, 25447, 25453, 25457, 25463, 25469, 25471, + 25523, 25537, 25541, 25561, 25577, 25579, 25583, 25589, 25601, 25603, + 25609, 25621, 25633, 25639, 25643, 25657, 25667, 25673, 25679, 25693, + 25703, 25717, 25733, 25741, 25747, 25759, 25763, 25771, 25793, 25799, + 25801, 25819, 25841, 25847, 25849, 25867, 25873, 25889, 25903, 25913, + 25919, 25931, 25933, 25939, 25943, 25951, 25969, 25981, 25997, 25999, + 26003, 26017, 26021, 26029, 26041, 26053, 26083, 26099, 26107, 26111, + 26113, 26119, 26141, 26153, 26161, 26171, 26177, 26183, 26189, 26203, + 26209, 26227, 26237, 26249, 26251, 26261, 26263, 26267, 26293, 26297, + 26309, 26317, 26321, 26339, 26347, 26357, 26371, 26387, 26393, 26399, + 26407, 26417, 26423, 26431, 26437, 26449, 26459, 26479, 26489, 26497, + 26501, 26513, 26539, 26557, 26561, 26573, 26591, 26597, 26627, 26633, + 26641, 26647, 26669, 26681, 26683, 26687, 26693, 26699, 26701, 26711, + 26713, 26717, 26723, 26729, 26731, 26737, 26759, 26777, 26783, 26801, + 26813, 26821, 26833, 26839, 26849, 26861, 26863, 26879, 26881, 26891, + 26893, 26903, 26921, 26927, 26947, 26951, 26953, 26959, 26981, 26987, + 26993, 27011, 27017, 27031, 27043, 27059, 27061, 27067, 27073, 27077, + 27091, 27103, 27107, 27109, 27127, 27143, 27179, 27191, 27197, 27211, + 27239, 27241, 27253, 27259, 27271, 27277, 27281, 27283, 27299, 27329, + 27337, 27361, 27367, 27397, 27407, 27409, 27427, 27431, 27437, 27449, + 27457, 27479, 27481, 27487, 27509, 27527, 27529, 27539, 27541, 27551, + 27581, 27583, 27611, 27617, 27631, 27647, 27653, 27673, 27689, 27691, + 27697, 27701, 27733, 27737, 27739, 27743, 27749, 27751, 27763, 27767, + 27773, 27779, 27791, 27793, 27799, 27803, 27809, 27817, 27823, 27827, + 27847, 27851, 27883, 27893, 27901, 27917, 27919, 27941, 27943, 27947, + 27953, 27961, 27967, 27983, 27997, 28001, 28019, 28027, 28031, 28051, + 28057, 28069, 28081, 28087, 28097, 28099, 28109, 28111, 28123, 28151, + 28163, 28181, 28183, 28201, 28211, 28219, 28229, 28277, 28279, 28283, + 28289, 28297, 28307, 28309, 28319, 28349, 28351, 28387, 28393, 28403, + 28409, 28411, 28429, 28433, 28439, 28447, 28463, 28477, 28493, 28499, + 28513, 28517, 28537, 28541, 28547, 28549, 28559, 28571, 28573, 28579, + 28591, 28597, 28603, 28607, 28619, 28621, 28627, 28631, 28643, 28649, + 28657, 28661, 28663, 28669, 28687, 28697, 28703, 28711, 28723, 28729, + 28751, 28753, 28759, 28771, 28789, 28793, 28807, 28813, 28817, 28837, + 28843, 28859, 28867, 28871, 28879, 28901, 28909, 28921, 28927, 28933, + 28949, 28961, 28979, 29009, 29017, 29021, 29023, 29027, 29033, 29059, + 29063, 29077, 29101, 29123, 29129, 29131, 29137, 29147, 29153, 29167, + 29173, 29179, 29191, 29201, 29207, 29209, 29221, 29231, 29243, 29251, + 29269, 29287, 29297, 29303, 29311, 29327, 29333, 29339, 29347, 29363, + 29383, 29387, 29389, 29399, 29401, 29411, 29423, 29429, 29437, 29443, + 29453, 29473, 29483, 29501, 29527, 29531, 29537, 29567, 29569, 29573, + 29581, 29587, 29599, 29611, 29629, 29633, 29641, 29663, 29669, 29671, + 29683, 29717, 29723, 29741, 29753, 29759, 29761, 29789, 29803, 29819, + 29833, 29837, 29851, 29863, 29867, 29873, 29879, 29881, 29917, 29921, + 29927, 29947, 29959, 29983, 29989, 30011, 30013, 30029, 30047, 30059, + 30071, 30089, 30091, 30097, 30103, 30109, 30113, 30119, 30133, 30137, + 30139, 30161, 30169, 30181, 30187, 30197, 30203, 30211, 30223, 30241, + 30253, 30259, 30269, 30271, 30293, 30307, 30313, 30319, 30323, 30341, + 30347, 30367, 30389, 30391, 30403, 30427, 30431, 30449, 30467, 30469, + 30491, 30493, 30497, 30509, 30517, 30529, 30539, 30553, 30557, 30559, + 30577, 30593, 30631, 30637, 30643, 30649, 30661, 30671, 30677, 30689, + 30697, 30703, 30707, 30713, 30727, 30757, 30763, 30773, 30781, 30803, + 30809, 30817, 30829, 30839, 30841, 30851, 30853, 30859, 30869, 30871, + 30881, 30893, 30911, 30931, 30937, 30941, 30949, 30971, 30977, 30983, + 31013, 31019, 31033, 31039, 31051, 31063, 31069, 31079, 31081, 31091, + 31121, 31123, 31139, 31147, 31151, 31153, 31159, 31177, 31181, 31183, + 31189, 31193, 31219, 31223, 31231, 31237, 31247, 31249, 31253, 31259, + 31267, 31271, 31277, 31307, 31319, 31321, 31327, 31333, 31337, 31357, + 31379, 31387, 31391, 31393, 31397, 31469, 31477, 31481, 31489, 31511, + 31513, 31517, 31531, 31541, 31543, 31547, 31567, 31573, 31583, 31601, + 31607, 31627, 31643, 31649, 31657, 31663, 31667, 31687, 31699, 31721, + 31723, 31727, 31729, 31741, 31751, 31769, 31771, 31793, 31799, 31817, + 31847, 31849, 31859, 31873, 31883, 31891, 31907, 31957, 31963, 31973, + 31981, 31991, 32003, 32009, 32027, 32029, 32051, 32057, 32059, 32063, + 32069, 32077, 32083, 32089, 32099, 32117, 32119, 32141, 32143, 32159, + 32173, 32183, 32189, 32191, 32203, 32213, 32233, 32237, 32251, 32257, + 32261, 32297, 32299, 32303, 32309, 32321, 32323, 32327, 32341, 32353, + 32359, 32363, 32369, 32371, 32377, 32381, 32401, 32411, 32413, 32423, + 32429, 32441, 32443, 32467, 32479, 32491, 32497, 32503, 32507, 32531, + 32533, 32537, 32561, 32563, 32569, 32573, 32579, 32587, 32603, 32609, + 32611, 32621, 32633, 32647, 32653, 32687, 32693, 32707, 32713, 32717, + 32719, 32749, 32771, 32779, 32783, 32789, 32797, 32801, 32803, 32831, + 32833, 32839, 32843, 32869, 32887, 32909, 32911, 32917, 32933, 32939, + 32941, 32957, 32969, 32971, 32983, 32987, 32993, 32999, 33013, 33023, + 33029, 33037, 33049, 33053, 33071, 33073, 33083, 33091, 33107, 33113, + 33119, 33149, 33151, 33161, 33179, 33181, 33191, 33199, 33203, 33211, + 33223, 33247, 33287, 33289, 33301, 33311, 33317, 33329, 33331, 33343, + 33347, 33349, 33353, 33359, 33377, 33391, 33403, 33409, 33413, 33427, + 33457, 33461, 33469, 33479, 33487, 33493, 33503, 33521, 33529, 33533, + 33547, 33563, 33569, 33577, 33581, 33587, 33589, 33599, 33601, 33613, + 33617, 33619, 33623, 33629, 33637, 33641, 33647, 33679, 33703, 33713, + 33721, 33739, 33749, 33751, 33757, 33767, 33769, 33773, 33791, 33797, + 33809, 33811, 33827, 33829, 33851, 33857, 33863, 33871, 33889, 33893, + 33911, 33923, 33931, 33937, 33941, 33961, 33967, 33997, 34019, 34031, + 34033, 34039, 34057, 34061, 34123, 34127, 34129, 34141, 34147, 34157, + 34159, 34171, 34183, 34211, 34213, 34217, 34231, 34253, 34259, 34261, + 34267, 34273, 34283, 34297, 34301, 34303, 34313, 34319, 34327, 34337, + 34351, 34361, 34367, 34369, 34381, 34403, 34421, 34429, 34439, 34457, + 34469, 34471, 34483, 34487, 34499, 34501, 34511, 34513, 34519, 34537, + 34543, 34549, 34583, 34589, 34591, 34603, 34607, 34613, 34631, 34649, + 34651, 34667, 34673, 34679, 34687, 34693, 34703, 34721, 34729, 34739, + 34747, 34757, 34759, 34763, 34781, 34807, 34819, 34841, 34843, 34847, + 34849, 34871, 34877, 34883, 34897, 34913, 34919, 34939, 34949, 34961, + 34963, 34981, 35023, 35027, 35051, 35053, 35059, 35069, 35081, 35083, + 35089, 35099, 35107, 35111, 35117, 35129, 35141, 35149, 35153, 35159, + 35171, 35201, 35221, 35227, 35251, 35257, 35267, 35279, 35281, 35291, + 35311, 35317, 35323, 35327, 35339, 35353, 35363, 35381, 35393, 35401, + 35407, 35419, 35423, 35437, 35447, 35449, 35461, 35491, 35507, 35509, + 35521, 35527, 35531, 35533, 35537, 35543, 35569, 35573, 35591, 35593, + 35597, 35603, 35617, 35671, 35677, 35729, 35731, 35747, 35753, 35759, + 35771, 35797, 35801, 35803, 35809, 35831, 35837, 35839, 35851, 35863, + 35869, 35879, 35897, 35899, 35911, 35923, 35933, 35951, 35963, 35969, + 35977, 35983, 35993, 35999, 36007, 36011, 36013, 36017, 36037, 36061, + 36067, 36073, 36083, 36097, 36107, 36109, 36131, 36137, 36151, 36161, + 36187, 36191, 36209, 36217, 36229, 36241, 36251, 36263, 36269, 36277, + 36293, 36299, 36307, 36313, 36319, 36341, 36343, 36353, 36373, 36383, + 36389, 36433, 36451, 36457, 36467, 36469, 36473, 36479, 36493, 36497, + 36523, 36527, 36529, 36541, 36551, 36559, 36563, 36571, 36583, 36587, + 36599, 36607, 36629, 36637, 36643, 36653, 36671, 36677, 36683, 36691, + 36697, 36709, 36713, 36721, 36739, 36749, 36761, 36767, 36779, 36781, + 36787, 36791, 36793, 36809, 36821, 36833, 36847, 36857, 36871, 36877, + 36887, 36899, 36901, 36913, 36919, 36923, 36929, 36931, 36943, 36947, + 36973, 36979, 36997, 37003, 37013, 37019, 37021, 37039, 37049, 37057, + 37061, 37087, 37097, 37117, 37123, 37139, 37159, 37171, 37181, 37189, + 37199, 37201, 37217, 37223, 37243, 37253, 37273, 37277, 37307, 37309, + 37313, 37321, 37337, 37339, 37357, 37361, 37363, 37369, 37379, 37397, + 37409, 37423, 37441, 37447, 37463, 37483, 37489, 37493, 37501, 37507, + 37511, 37517, 37529, 37537, 37547, 37549, 37561, 37567, 37571, 37573, + 37579, 37589, 37591, 37607, 37619, 37633, 37643, 37649, 37657, 37663, + 37691, 37693, 37699, 37717, 37747, 37781, 37783, 37799, 37811, 37813, + 37831, 37847, 37853, 37861, 37871, 37879, 37889, 37897, 37907, 37951, + 37957, 37963, 37967, 37987, 37991, 37993, 37997, 38011, 38039, 38047, + 38053, 38069, 38083, 38113, 38119, 38149, 38153, 38167, 38177, 38183, + 38189, 38197, 38201, 38219, 38231, 38237, 38239, 38261, 38273, 38281, + 38287, 38299, 38303, 38317, 38321, 38327, 38329, 38333, 38351, 38371, + 38377, 38393, 38431, 38447, 38449, 38453, 38459, 38461, 38501, 38543, + 38557, 38561, 38567, 38569, 38593, 38603, 38609, 38611, 38629, 38639, + 38651, 38653, 38669, 38671, 38677, 38693, 38699, 38707, 38711, 38713, + 38723, 38729, 38737, 38747, 38749, 38767, 38783, 38791, 38803, 38821, + 38833, 38839, 38851, 38861, 38867, 38873, 38891, 38903, 38917, 38921, + 38923, 38933, 38953, 38959, 38971, 38977, 38993, 39019, 39023, 39041, + 39043, 39047, 39079, 39089, 39097, 39103, 39107, 39113, 39119, 39133, + 39139, 39157, 39161, 39163, 39181, 39191, 39199, 39209, 39217, 39227, + 39229, 39233, 39239, 39241, 39251, 39293, 39301, 39313, 39317, 39323, + 39341, 39343, 39359, 39367, 39371, 39373, 39383, 39397, 39409, 39419, + 39439, 39443, 39451, 39461, 39499, 39503, 39509, 39511, 39521, 39541, + 39551, 39563, 39569, 39581, 39607, 39619, 39623, 39631, 39659, 39667, + 39671, 39679, 39703, 39709, 39719, 39727, 39733, 39749, 39761, 39769, + 39779, 39791, 39799, 39821, 39827, 39829, 39839, 39841, 39847, 39857, + 39863, 39869, 39877, 39883, 39887, 39901, 39929, 39937, 39953, 39971, + 39979, 39983, 39989, 40009, 40013, 40031, 40037, 40039, 40063, 40087, + 40093, 40099, 40111, 40123, 40127, 40129, 40151, 40153, 40163, 40169, + 40177, 40189, 40193, 40213, 40231, 40237, 40241, 40253, 40277, 40283, + 40289, 40343, 40351, 40357, 40361, 40387, 40423, 40427, 40429, 40433, + 40459, 40471, 40483, 40487, 40493, 40499, 40507, 40519, 40529, 40531, + 40543, 40559, 40577, 40583, 40591, 40597, 40609, 40627, 40637, 40639, + 40693, 40697, 40699, 40709, 40739, 40751, 40759, 40763, 40771, 40787, + 40801, 40813, 40819, 40823, 40829, 40841, 40847, 40849, 40853, 40867, + 40879, 40883, 40897, 40903, 40927, 40933, 40939, 40949, 40961, 40973, + 40993, 41011, 41017, 41023, 41039, 41047, 41051, 41057, 41077, 41081, + 41113, 41117, 41131, 41141, 41143, 41149, 41161, 41177, 41179, 41183, + 41189, 41201, 41203, 41213, 41221, 41227, 41231, 41233, 41243, 41257, + 41263, 41269, 41281, 41299, 41333, 41341, 41351, 41357, 41381, 41387, + 41389, 41399, 41411, 41413, 41443, 41453, 41467, 41479, 41491, 41507, + 41513, 41519, 41521, 41539, 41543, 41549, 41579, 41593, 41597, 41603, + 41609, 41611, 41617, 41621, 41627, 41641, 41647, 41651, 41659, 41669, + 41681, 41687, 41719, 41729, 41737, 41759, 41761, 41771, 41777, 41801, + 41809, 41813, 41843, 41849, 41851, 41863, 41879, 41887, 41893, 41897, + 41903, 41911, 41927, 41941, 41947, 41953, 41957, 41959, 41969, 41981, + 41983, 41999, 42013, 42017, 42019, 42023, 42043, 42061, 42071, 42073, + 42083, 42089, 42101, 42131, 42139, 42157, 42169, 42179, 42181, 42187, + 42193, 42197, 42209, 42221, 42223, 42227, 42239, 42257, 42281, 42283, + 42293, 42299, 42307, 42323, 42331, 42337, 42349, 42359, 42373, 42379, + 42391, 42397, 42403, 42407, 42409, 42433, 42437, 42443, 42451, 42457, + 42461, 42463, 42467, 42473, 42487, 42491, 42499, 42509, 42533, 42557, + 42569, 42571, 42577, 42589, 42611, 42641, 42643, 42649, 42667, 42677, + 42683, 42689, 42697, 42701, 42703, 42709, 42719, 42727, 42737, 42743, + 42751, 42767, 42773, 42787, 42793, 42797, 42821, 42829, 42839, 42841, + 42853, 42859, 42863, 42899, 42901, 42923, 42929, 42937, 42943, 42953, + 42961, 42967, 42979, 42989, 43003, 43013, 43019, 43037, 43049, 43051, + 43063, 43067, 43093, 43103, 43117, 43133, 43151, 43159, 43177, 43189, + 43201, 43207, 43223, 43237, 43261, 43271, 43283, 43291, 43313, 43319, + 43321, 43331, 43391, 43397, 43399, 43403, 43411, 43427, 43441, 43451, + 43457, 43481, 43487, 43499, 43517, 43541, 43543, 43573, 43577, 43579, + 43591, 43597, 43607, 43609, 43613, 43627, 43633, 43649, 43651, 43661, + 43669, 43691, 43711, 43717, 43721, 43753, 43759, 43777, 43781, 43783, + 43787, 43789, 43793, 43801, 43853, 43867, 43889, 43891, 43913, 43933, + 43943, 43951, 43961, 43963, 43969, 43973, 43987, 43991, 43997, 44017, + 44021, 44027, 44029, 44041, 44053, 44059, 44071, 44087, 44089, 44101, + 44111, 44119, 44123, 44129, 44131, 44159, 44171, 44179, 44189, 44201, + 44203, 44207, 44221, 44249, 44257, 44263, 44267, 44269, 44273, 44279, + 44281, 44293, 44351, 44357, 44371, 44381, 44383, 44389, 44417, 44449, + 44453, 44483, 44491, 44497, 44501, 44507, 44519, 44531, 44533, 44537, + 44543, 44549, 44563, 44579, 44587, 44617, 44621, 44623, 44633, 44641, + 44647, 44651, 44657, 44683, 44687, 44699, 44701, 44711, 44729, 44741, + 44753, 44771, 44773, 44777, 44789, 44797, 44809, 44819, 44839, 44843, + 44851, 44867, 44879, 44887, 44893, 44909, 44917, 44927, 44939, 44953, + 44959, 44963, 44971, 44983, 44987, 45007, 45013, 45053, 45061, 45077, + 45083, 45119, 45121, 45127, 45131, 45137, 45139, 45161, 45179, 45181, + 45191, 45197, 45233, 45247, 45259, 45263, 45281, 45289, 45293, 45307, + 45317, 45319, 45329, 45337, 45341, 45343, 45361, 45377, 45389, 45403, + 45413, 45427, 45433, 45439, 45481, 45491, 45497, 45503, 45523, 45533, + 45541, 45553, 45557, 45569, 45587, 45589, 45599, 45613, 45631, 45641, + 45659, 45667, 45673, 45677, 45691, 45697, 45707, 45737, 45751, 45757, + 45763, 45767, 45779, 45817, 45821, 45823, 45827, 45833, 45841, 45853, + 45863, 45869, 45887, 45893, 45943, 45949, 45953, 45959, 45971, 45979, + 45989, 46021, 46027, 46049, 46051, 46061, 46073, 46091, 46093, 46099, + 46103, 46133, 46141, 46147, 46153, 46171, 46181, 46183, 46187, 46199, + 46219, 46229, 46237, 46261, 46271, 46273, 46279, 46301, 46307, 46309, + 46327, 46337, 46349, 46351, 46381, 46399, 46411, 46439, 46441, 46447, + 46451, 46457, 46471, 46477, 46489, 46499, 46507, 46511, 46523, 46549, + 46559, 46567, 46573, 46589, 46591, 46601, 46619, 46633, 46639, 46643, + 46649, 46663, 46679, 46681, 46687, 46691, 46703, 46723, 46727, 46747, + 46751, 46757, 46769, 46771, 46807, 46811, 46817, 46819, 46829, 46831, + 46853, 46861, 46867, 46877, 46889, 46901, 46919, 46933, 46957, 46993, + 46997, 47017, 47041, 47051, 47057, 47059, 47087, 47093, 47111, 47119, + 47123, 47129, 47137, 47143, 47147, 47149, 47161, 47189, 47207, 47221, + 47237, 47251, 47269, 47279, 47287, 47293, 47297, 47303, 47309, 47317, + 47339, 47351, 47353, 47363, 47381, 47387, 47389, 47407, 47417, 47419, + 47431, 47441, 47459, 47491, 47497, 47501, 47507, 47513, 47521, 47527, + 47533, 47543, 47563, 47569, 47581, 47591, 47599, 47609, 47623, 47629, + 47639, 47653, 47657, 47659, 47681, 47699, 47701, 47711, 47713, 47717, + 47737, 47741, 47743, 47777, 47779, 47791, 47797, 47807, 47809, 47819, + 47837, 47843, 47857, 47869, 47881, 47903, 47911, 47917, 47933, 47939, + 47947, 47951, 47963, 47969, 47977, 47981, 48017, 48023, 48029, 48049, + 48073, 48079, 48091, 48109, 48119, 48121, 48131, 48157, 48163, 48179, + 48187, 48193, 48197, 48221, 48239, 48247, 48259, 48271, 48281, 48299, + 48311, 48313, 48337, 48341, 48353, 48371, 48383, 48397, 48407, 48409, + 48413, 48437, 48449, 48463, 48473, 48479, 48481, 48487, 48491, 48497, + 48523, 48527, 48533, 48539, 48541, 48563, 48571, 48589, 48593, 48611, + 48619, 48623, 48647, 48649, 48661, 48673, 48677, 48679, 48731, 48733, + 48751, 48757, 48761, 48767, 48779, 48781, 48787, 48799, 48809, 48817, + 48821, 48823, 48847, 48857, 48859, 48869, 48871, 48883, 48889, 48907, + 48947, 48953, 48973, 48989, 48991, 49003, 49009, 49019, 49031, 49033, + 49037, 49043, 49057, 49069, 49081, 49103, 49109, 49117, 49121, 49123, + 49139, 49157, 49169, 49171, 49177, 49193, 49199, 49201, 49207, 49211, + 49223, 49253, 49261, 49277, 49279, 49297, 49307, 49331, 49333, 49339, + 49363, 49367, 49369, 49391, 49393, 49409, 49411, 49417, 49429, 49433, + 49451, 49459, 49463, 49477, 49481, 49499, 49523, 49529, 49531, 49537, + 49547, 49549, 49559, 49597, 49603, 49613, 49627, 49633, 49639, 49663, + 49667, 49669, 49681, 49697, 49711, 49727, 49739, 49741, 49747, 49757, + 49783, 49787, 49789, 49801, 49807, 49811, 49823, 49831, 49843, 49853, + 49871, 49877, 49891, 49919, 49921, 49927, 49937, 49939, 49943, 49957, + 49991, 49993, 49999, 50021, 50023, 50033, 50047, 50051, 50053, 50069, + 50077, 50087, 50093, 50101, 50111, 50119, 50123, 50129, 50131, 50147, + 50153, 50159, 50177, 50207, 50221, 50227, 50231, 50261, 50263, 50273, + 50287, 50291, 50311, 50321, 50329, 50333, 50341, 50359, 50363, 50377, + 50383, 50387, 50411, 50417, 50423, 50441, 50459, 50461, 50497, 50503, + 50513, 50527, 50539, 50543, 50549, 50551, 50581, 50587, 50591, 50593, + 50599, 50627, 50647, 50651, 50671, 50683, 50707, 50723, 50741, 50753, + 50767, 50773, 50777, 50789, 50821, 50833, 50839, 50849, 50857, 50867, + 50873, 50891, 50893, 50909, 50923, 50929, 50951, 50957, 50969, 50971, + 50989, 50993, 51001, 51031, 51043, 51047, 51059, 51061, 51071, 51109, + 51131, 51133, 51137, 51151, 51157, 51169, 51193, 51197, 51199, 51203, + 51217, 51229, 51239, 51241, 51257, 51263, 51283, 51287, 51307, 51329, + 51341, 51343, 51347, 51349, 51361, 51383, 51407, 51413, 51419, 51421, + 51427, 51431, 51437, 51439, 51449, 51461, 51473, 51479, 51481, 51487, + 51503, 51511, 51517, 51521, 51539, 51551, 51563, 51577, 51581, 51593, + 51599, 51607, 51613, 51631, 51637, 51647, 51659, 51673, 51679, 51683, + 51691, 51713, 51719, 51721, 51749, 51767, 51769, 51787, 51797, 51803, + 51817, 51827, 51829, 51839, 51853, 51859, 51869, 51871, 51893, 51899, + 51907, 51913, 51929, 51941, 51949, 51971, 51973, 51977, 51991, 52009, + 52021, 52027, 52051, 52057, 52067, 52069, 52081, 52103, 52121, 52127, + 52147, 52153, 52163, 52177, 52181, 52183, 52189, 52201, 52223, 52237, + 52249, 52253, 52259, 52267, 52289, 52291, 52301, 52313, 52321, 52361, + 52363, 52369, 52379, 52387, 52391, 52433, 52453, 52457, 52489, 52501, + 52511, 52517, 52529, 52541, 52543, 52553, 52561, 52567, 52571, 52579, + 52583, 52609, 52627, 52631, 52639, 52667, 52673, 52691, 52697, 52709, + 52711, 52721, 52727, 52733, 52747, 52757, 52769, 52783, 52807, 52813, + 52817, 52837, 52859, 52861, 52879, 52883, 52889, 52901, 52903, 52919, + 52937, 52951, 52957, 52963, 52967, 52973, 52981, 52999, 53003, 53017, + 53047, 53051, 53069, 53077, 53087, 53089, 53093, 53101, 53113, 53117, + 53129, 53147, 53149, 53161, 53171, 53173, 53189, 53197, 53201, 53231, + 53233, 53239, 53267, 53269, 53279, 53281, 53299, 53309, 53323, 53327, + 53353, 53359, 53377, 53381, 53401, 53407, 53411, 53419, 53437, 53441, + 53453, 53479, 53503, 53507, 53527, 53549, 53551, 53569, 53591, 53593, + 53597, 53609, 53611, 53617, 53623, 53629, 53633, 53639, 53653, 53657, + 53681, 53693, 53699, 53717, 53719, 53731, 53759, 53773, 53777, 53783, + 53791, 53813, 53819, 53831, 53849, 53857, 53861, 53881, 53887, 53891, + 53897, 53899, 53917, 53923, 53927, 53939, 53951, 53959, 53987, 53993, + 54001, 54011, 54013, 54037, 54049, 54059, 54083, 54091, 54101, 54121, + 54133, 54139, 54151, 54163, 54167, 54181, 54193, 54217, 54251, 54269, + 54277, 54287, 54293, 54311, 54319, 54323, 54331, 54347, 54361, 54367, + 54371, 54377, 54401, 54403, 54409, 54413, 54419, 54421, 54437, 54443, + 54449, 54469, 54493, 54497, 54499, 54503, 54517, 54521, 54539, 54541, + 54547, 54559, 54563, 54577, 54581, 54583, 54601, 54617, 54623, 54629, + 54631, 54647, 54667, 54673, 54679, 54709, 54713, 54721, 54727, 54751, + 54767, 54773, 54779, 54787, 54799, 54829, 54833, 54851, 54869, 54877, + 54881, 54907, 54917, 54919, 54941, 54949, 54959, 54973, 54979, 54983, + 55001, 55009, 55021, 55049, 55051, 55057, 55061, 55073, 55079, 55103, + 55109, 55117, 55127, 55147, 55163, 55171, 55201, 55207, 55213, 55217, + 55219, 55229, 55243, 55249, 55259, 55291, 55313, 55331, 55333, 55337, + 55339, 55343, 55351, 55373, 55381, 55399, 55411, 55439, 55441, 55457, + 55469, 55487, 55501, 55511, 55529, 55541, 55547, 55579, 55589, 55603, + 55609, 55619, 55621, 55631, 55633, 55639, 55661, 55663, 55667, 55673, + 55681, 55691, 55697, 55711, 55717, 55721, 55733, 55763, 55787, 55793, + 55799, 55807, 55813, 55817, 55819, 55823, 55829, 55837, 55843, 55849, + 55871, 55889, 55897, 55901, 55903, 55921, 55927, 55931, 55933, 55949, + 55967, 55987, 55997, 56003, 56009, 56039, 56041, 56053, 56081, 56087, + 56093, 56099, 56101, 56113, 56123, 56131, 56149, 56167, 56171, 56179, + 56197, 56207, 56209, 56237, 56239, 56249, 56263, 56267, 56269, 56299, + 56311, 56333, 56359, 56369, 56377, 56383, 56393, 56401, 56417, 56431, + 56437, 56443, 56453, 56467, 56473, 56477, 56479, 56489, 56501, 56503, + 56509, 56519, 56527, 56531, 56533, 56543, 56569, 56591, 56597, 56599, + 56611, 56629, 56633, 56659, 56663, 56671, 56681, 56687, 56701, 56711, + 56713, 56731, 56737, 56747, 56767, 56773, 56779, 56783, 56807, 56809, + 56813, 56821, 56827, 56843, 56857, 56873, 56891, 56893, 56897, 56909, + 56911, 56921, 56923, 56929, 56941, 56951, 56957, 56963, 56983, 56989, + 56993, 56999, 57037, 57041, 57047, 57059, 57073, 57077, 57089, 57097, + 57107, 57119, 57131, 57139, 57143, 57149, 57163, 57173, 57179, 57191, + 57193, 57203, 57221, 57223, 57241, 57251, 57259, 57269, 57271, 57283, + 57287, 57301, 57329, 57331, 57347, 57349, 57367, 57373, 57383, 57389, + 57397, 57413, 57427, 57457, 57467, 57487, 57493, 57503, 57527, 57529, + 57557, 57559, 57571, 57587, 57593, 57601, 57637, 57641, 57649, 57653, + 57667, 57679, 57689, 57697, 57709, 57713, 57719, 57727, 57731, 57737, + 57751, 57773, 57781, 57787, 57791, 57793, 57803, 57809, 57829, 57839, + 57847, 57853, 57859, 57881, 57899, 57901, 57917, 57923, 57943, 57947, + 57973, 57977, 57991, 58013, 58027, 58031, 58043, 58049, 58057, 58061, + 58067, 58073, 58099, 58109, 58111, 58129, 58147, 58151, 58153, 58169, + 58171, 58189, 58193, 58199, 58207, 58211, 58217, 58229, 58231, 58237, + 58243, 58271, 58309, 58313, 58321, 58337, 58363, 58367, 58369, 58379, + 58391, 58393, 58403, 58411, 58417, 58427, 58439, 58441, 58451, 58453, + 58477, 58481, 58511, 58537, 58543, 58549, 58567, 58573, 58579, 58601, + 58603, 58613, 58631, 58657, 58661, 58679, 58687, 58693, 58699, 58711, + 58727, 58733, 58741, 58757, 58763, 58771, 58787, 58789, 58831, 58889, + 58897, 58901, 58907, 58909, 58913, 58921, 58937, 58943, 58963, 58967, + 58979, 58991, 58997, 59009, 59011, 59021, 59023, 59029, 59051, 59053, + 59063, 59069, 59077, 59083, 59093, 59107, 59113, 59119, 59123, 59141, + 59149, 59159, 59167, 59183, 59197, 59207, 59209, 59219, 59221, 59233, + 59239, 59243, 59263, 59273, 59281, 59333, 59341, 59351, 59357, 59359, + 59369, 59377, 59387, 59393, 59399, 59407, 59417, 59419, 59441, 59443, + 59447, 59453, 59467, 59471, 59473, 59497, 59509, 59513, 59539, 59557, + 59561, 59567, 59581, 59611, 59617, 59621, 59627, 59629, 59651, 59659, + 59663, 59669, 59671, 59693, 59699, 59707, 59723, 59729, 59743, 59747, + 59753, 59771, 59779, 59791, 59797, 59809, 59833, 59863, 59879, 59887, + 59921, 59929, 59951, 59957, 59971, 59981, 59999, 60013, 60017, 60029, + 60037, 60041, 60077, 60083, 60089, 60091, 60101, 60103, 60107, 60127, + 60133, 60139, 60149, 60161, 60167, 60169, 60209, 60217, 60223, 60251, + 60257, 60259, 60271, 60289, 60293, 60317, 60331, 60337, 60343, 60353, + 60373, 60383, 60397, 60413, 60427, 60443, 60449, 60457, 60493, 60497, + 60509, 60521, 60527, 60539, 60589, 60601, 60607, 60611, 60617, 60623, + 60631, 60637, 60647, 60649, 60659, 60661, 60679, 60689, 60703, 60719, + 60727, 60733, 60737, 60757, 60761, 60763, 60773, 60779, 60793, 60811, + 60821, 60859, 60869, 60887, 60889, 60899, 60901, 60913, 60917, 60919, + 60923, 60937, 60943, 60953, 60961, 61001, 61007, 61027, 61031, 61043, + 61051, 61057, 61091, 61099, 61121, 61129, 61141, 61151, 61153, 61169, + 61211, 61223, 61231, 61253, 61261, 61283, 61291, 61297, 61331, 61333, + 61339, 61343, 61357, 61363, 61379, 61381, 61403, 61409, 61417, 61441, + 61463, 61469, 61471, 61483, 61487, 61493, 61507, 61511, 61519, 61543, + 61547, 61553, 61559, 61561, 61583, 61603, 61609, 61613, 61627, 61631, + 61637, 61643, 61651, 61657, 61667, 61673, 61681, 61687, 61703, 61717, + 61723, 61729, 61751, 61757, 61781, 61813, 61819, 61837, 61843, 61861, + 61871, 61879, 61909, 61927, 61933, 61949, 61961, 61967, 61979, 61981, + 61987, 61991, 62003, 62011, 62017, 62039, 62047, 62053, 62057, 62071, + 62081, 62099, 62119, 62129, 62131, 62137, 62141, 62143, 62171, 62189, + 62191, 62201, 62207, 62213, 62219, 62233, 62273, 62297, 62299, 62303, + 62311, 62323, 62327, 62347, 62351, 62383, 62401, 62417, 62423, 62459, + 62467, 62473, 62477, 62483, 62497, 62501, 62507, 62533, 62539, 62549, + 62563, 62581, 62591, 62597, 62603, 62617, 62627, 62633, 62639, 62653, + 62659, 62683, 62687, 62701, 62723, 62731, 62743, 62753, 62761, 62773, + 62791, 62801, 62819, 62827, 62851, 62861, 62869, 62873, 62897, 62903, + 62921, 62927, 62929, 62939, 62969, 62971, 62981, 62983, 62987, 62989, + 63029, 63031, 63059, 63067, 63073, 63079, 63097, 63103, 63113, 63127, + 63131, 63149, 63179, 63197, 63199, 63211, 63241, 63247, 63277, 63281, + 63299, 63311, 63313, 63317, 63331, 63337, 63347, 63353, 63361, 63367, + 63377, 63389, 63391, 63397, 63409, 63419, 63421, 63439, 63443, 63463, + 63467, 63473, 63487, 63493, 63499, 63521, 63527, 63533, 63541, 63559, + 63577, 63587, 63589, 63599, 63601, 63607, 63611, 63617, 63629, 63647, + 63649, 63659, 63667, 63671, 63689, 63691, 63697, 63703, 63709, 63719, + 63727, 63737, 63743, 63761, 63773, 63781, 63793, 63799, 63803, 63809, + 63823, 63839, 63841, 63853, 63857, 63863, 63901, 63907, 63913, 63929, + 63949, 63977, 63997, 64007, 64013, 64019, 64033, 64037, 64063, 64067, + 64081, 64091, 64109, 64123, 64151, 64153, 64157, 64171, 64187, 64189, + 64217, 64223, 64231, 64237, 64271, 64279, 64283, 64301, 64303, 64319, + 64327, 64333, 64373, 64381, 64399, 64403, 64433, 64439, 64451, 64453, + 64483, 64489, 64499, 64513, 64553, 64567, 64577, 64579, 64591, 64601, + 64609, 64613, 64621, 64627, 64633, 64661, 64663, 64667, 64679, 64693, + 64709, 64717, 64747, 64763, 64781, 64783, 64793, 64811, 64817, 64849, + 64853, 64871, 64877, 64879, 64891, 64901, 64919, 64921, 64927, 64937, + 64951, 64969, 64997, 65003, 65011, 65027, 65029, 65033, 65053, 65063, + 65071, 65089, 65099, 65101, 65111, 65119, 65123, 65129, 65141, 65147, + 65167, 65171, 65173, 65179, 65183, 65203, 65213, 65239, 65257, 65267, + 65269, 65287, 65293, 65309, 65323, 65327, 65353, 65357, 65371, 65381, + 65393, 65407, 65413, 65419, 65423, 65437, 65447, 65449, 65479, 65497, + 65519, 65521, 65537, 65539, 65543, 65551, 65557, 65563, 65579, 65581, + 65587, 65599, 65609, 65617, 65629, 65633, 65647, 65651, 65657, 65677, + 65687, 65699, 65701, 65707, 65713, 65717, 65719, 65729, 65731, 65761, + 65777, 65789, 65809, 65827, 65831, 65837, 65839, 65843, 65851, 65867, + 65881, 65899, 65921, 65927, 65929, 65951, 65957, 65963, 65981, 65983, + 65993, 66029, 66037, 66041, 66047, 66067, 66071, 66083, 66089, 66103, + 66107, 66109, 66137, 66161, 66169, 66173, 66179, 66191, 66221, 66239, + 66271, 66293, 66301, 66337, 66343, 66347, 66359, 66361, 66373, 66377, + 66383, 66403, 66413, 66431, 66449, 66457, 66463, 66467, 66491, 66499, + 66509, 66523, 66529, 66533, 66541, 66553, 66569, 66571, 66587, 66593, + 66601, 66617, 66629, 66643, 66653, 66683, 66697, 66701, 66713, 66721, + 66733, 66739, 66749, 66751, 66763, 66791, 66797, 66809, 66821, 66841, + 66851, 66853, 66863, 66877, 66883, 66889, 66919, 66923, 66931, 66943, + 66947, 66949, 66959, 66973, 66977, 67003, 67021, 67033, 67043, 67049, + 67057, 67061, 67073, 67079, 67103, 67121, 67129, 67139, 67141, 67153, + 67157, 67169, 67181, 67187, 67189, 67211, 67213, 67217, 67219, 67231, + 67247, 67261, 67271, 67273, 67289, 67307, 67339, 67343, 67349, 67369, + 67391, 67399, 67409, 67411, 67421, 67427, 67429, 67433, 67447, 67453, + 67477, 67481, 67489, 67493, 67499, 67511, 67523, 67531, 67537, 67547, + 67559, 67567, 67577, 67579, 67589, 67601, 67607, 67619, 67631, 67651, + 67679, 67699, 67709, 67723, 67733, 67741, 67751, 67757, 67759, 67763, + 67777, 67783, 67789, 67801, 67807, 67819, 67829, 67843, 67853, 67867, + 67883, 67891, 67901, 67927, 67931, 67933, 67939, 67943, 67957, 67961, + 67967, 67979, 67987, 67993, 68023, 68041, 68053, 68059, 68071, 68087, + 68099, 68111, 68113, 68141, 68147, 68161, 68171, 68207, 68209, 68213, + 68219, 68227, 68239, 68261, 68279, 68281, 68311, 68329, 68351, 68371, + 68389, 68399, 68437, 68443, 68447, 68449, 68473, 68477, 68483, 68489, + 68491, 68501, 68507, 68521, 68531, 68539, 68543, 68567, 68581, 68597, + 68611, 68633, 68639, 68659, 68669, 68683, 68687, 68699, 68711, 68713, + 68729, 68737, 68743, 68749, 68767, 68771, 68777, 68791, 68813, 68819, + 68821, 68863, 68879, 68881, 68891, 68897, 68899, 68903, 68909, 68917, + 68927, 68947, 68963, 68993, 69001, 69011, 69019, 69029, 69031, 69061, + 69067, 69073, 69109, 69119, 69127, 69143, 69149, 69151, 69163, 69191, + 69193, 69197, 69203, 69221, 69233, 69239, 69247, 69257, 69259, 69263, + 69313, 69317, 69337, 69341, 69371, 69379, 69383, 69389, 69401, 69403, + 69427, 69431, 69439, 69457, 69463, 69467, 69473, 69481, 69491, 69493, + 69497, 69499, 69539, 69557, 69593, 69623, 69653, 69661, 69677, 69691, + 69697, 69709, 69737, 69739, 69761, 69763, 69767, 69779, 69809, 69821, + 69827, 69829, 69833, 69847, 69857, 69859, 69877, 69899, 69911, 69929, + 69931, 69941, 69959, 69991, 69997, 70001, 70003, 70009, 70019, 70039, + 70051, 70061, 70067, 70079, 70099, 70111, 70117, 70121, 70123, 70139, + 70141, 70157, 70163, 70177, 70181, 70183, 70199, 70201, 70207, 70223, + 70229, 70237, 70241, 70249, 70271, 70289, 70297, 70309, 70313, 70321, + 70327, 70351, 70373, 70379, 70381, 70393, 70423, 70429, 70439, 70451, + 70457, 70459, 70481, 70487, 70489, 70501, 70507, 70529, 70537, 70549, + 70571, 70573, 70583, 70589, 70607, 70619, 70621, 70627, 70639, 70657, + 70663, 70667, 70687, 70709, 70717, 70729, 70753, 70769, 70783, 70793, + 70823, 70841, 70843, 70849, 70853, 70867, 70877, 70879, 70891, 70901, + 70913, 70919, 70921, 70937, 70949, 70951, 70957, 70969, 70979, 70981, + 70991, 70997, 70999, 71011, 71023, 71039, 71059, 71069, 71081, 71089, + 71119, 71129, 71143, 71147, 71153, 71161, 71167, 71171, 71191, 71209, + 71233, 71237, 71249, 71257, 71261, 71263, 71287, 71293, 71317, 71327, + 71329, 71333, 71339, 71341, 71347, 71353, 71359, 71363, 71387, 71389, + 71399, 71411, 71413, 71419, 71429, 71437, 71443, 71453, 71471, 71473, + 71479, 71483, 71503, 71527, 71537, 71549, 71551, 71563, 71569, 71593, + 71597, 71633, 71647, 71663, 71671, 71693, 71699, 71707, 71711, 71713, + 71719, 71741, 71761, 71777, 71789, 71807, 71809, 71821, 71837, 71843, + 71849, 71861, 71867, 71879, 71881, 71887, 71899, 71909, 71917, 71933, + 71941, 71947, 71963, 71971, 71983, 71987, 71993, 71999, 72019, 72031, + 72043, 72047, 72053, 72073, 72077, 72089, 72091, 72101, 72103, 72109, + 72139, 72161, 72167, 72169, 72173, 72211, 72221, 72223, 72227, 72229, + 72251, 72253, 72269, 72271, 72277, 72287, 72307, 72313, 72337, 72341, + 72353, 72367, 72379, 72383, 72421, 72431, 72461, 72467, 72469, 72481, + 72493, 72497, 72503, 72533, 72547, 72551, 72559, 72577, 72613, 72617, + 72623, 72643, 72647, 72649, 72661, 72671, 72673, 72679, 72689, 72701, + 72707, 72719, 72727, 72733, 72739, 72763, 72767, 72797, 72817, 72823, + 72859, 72869, 72871, 72883, 72889, 72893, 72901, 72907, 72911, 72923, + 72931, 72937, 72949, 72953, 72959, 72973, 72977, 72997, 73009, 73013, + 73019, 73037, 73039, 73043, 73061, 73063, 73079, 73091, 73121, 73127, + 73133, 73141, 73181, 73189, 73237, 73243, 73259, 73277, 73291, 73303, + 73309, 73327, 73331, 73351, 73361, 73363, 73369, 73379, 73387, 73417, + 73421, 73433, 73453, 73459, 73471, 73477, 73483, 73517, 73523, 73529, + 73547, 73553, 73561, 73571, 73583, 73589, 73597, 73607, 73609, 73613, + 73637, 73643, 73651, 73673, 73679, 73681, 73693, 73699, 73709, 73721, + 73727, 73751, 73757, 73771, 73783, 73819, 73823, 73847, 73849, 73859, + 73867, 73877, 73883, 73897, 73907, 73939, 73943, 73951, 73961, 73973, + 73999, 74017, 74021, 74027, 74047, 74051, 74071, 74077, 74093, 74099, + 74101, 74131, 74143, 74149, 74159, 74161, 74167, 74177, 74189, 74197, + 74201, 74203, 74209, 74219, 74231, 74257, 74279, 74287, 74293, 74297, + 74311, 74317, 74323, 74353, 74357, 74363, 74377, 74381, 74383, 74411, + 74413, 74419, 74441, 74449, 74453, 74471, 74489, 74507, 74509, 74521, + 74527, 74531, 74551, 74561, 74567, 74573, 74587, 74597, 74609, 74611, + 74623, 74653, 74687, 74699, 74707, 74713, 74717, 74719, 74729, 74731, + 74747, 74759, 74761, 74771, 74779, 74797, 74821, 74827, 74831, 74843, + 74857, 74861, 74869, 74873, 74887, 74891, 74897, 74903, 74923, 74929, + 74933, 74941, 74959, 75011, 75013, 75017, 75029, 75037, 75041, 75079, + 75083, 75109, 75133, 75149, 75161, 75167, 75169, 75181, 75193, 75209, + 75211, 75217, 75223, 75227, 75239, 75253, 75269, 75277, 75289, 75307, + 75323, 75329, 75337, 75347, 75353, 75367, 75377, 75389, 75391, 75401, + 75403, 75407, 75431, 75437, 75479, 75503, 75511, 75521, 75527, 75533, + 75539, 75541, 75553, 75557, 75571, 75577, 75583, 75611, 75617, 75619, + 75629, 75641, 75653, 75659, 75679, 75683, 75689, 75703, 75707, 75709, + 75721, 75731, 75743, 75767, 75773, 75781, 75787, 75793, 75797, 75821, + 75833, 75853, 75869, 75883, 75913, 75931, 75937, 75941, 75967, 75979, + 75983, 75989, 75991, 75997, 76001, 76003, 76031, 76039, 76079, 76081, + 76091, 76099, 76103, 76123, 76129, 76147, 76157, 76159, 76163, 76207, + 76213, 76231, 76243, 76249, 76253, 76259, 76261, 76283, 76289, 76303, + 76333, 76343, 76367, 76369, 76379, 76387, 76403, 76421, 76423, 76441, + 76463, 76471, 76481, 76487, 76493, 76507, 76511, 76519, 76537, 76541, + 76543, 76561, 76579, 76597, 76603, 76607, 76631, 76649, 76651, 76667, + 76673, 76679, 76697, 76717, 76733, 76753, 76757, 76771, 76777, 76781, + 76801, 76819, 76829, 76831, 76837, 76847, 76871, 76873, 76883, 76907, + 76913, 76919, 76943, 76949, 76961, 76963, 76991, 77003, 77017, 77023, + 77029, 77041, 77047, 77069, 77081, 77093, 77101, 77137, 77141, 77153, + 77167, 77171, 77191, 77201, 77213, 77237, 77239, 77243, 77249, 77261, + 77263, 77267, 77269, 77279, 77291, 77317, 77323, 77339, 77347, 77351, + 77359, 77369, 77377, 77383, 77417, 77419, 77431, 77447, 77471, 77477, + 77479, 77489, 77491, 77509, 77513, 77521, 77527, 77543, 77549, 77551, + 77557, 77563, 77569, 77573, 77587, 77591, 77611, 77617, 77621, 77641, + 77647, 77659, 77681, 77687, 77689, 77699, 77711, 77713, 77719, 77723, + 77731, 77743, 77747, 77761, 77773, 77783, 77797, 77801, 77813, 77839, + 77849, 77863, 77867, 77893, 77899, 77929, 77933, 77951, 77969, 77977, + 77983, 77999, 78007, 78017, 78031, 78041, 78049, 78059, 78079, 78101, + 78121, 78137, 78139, 78157, 78163, 78167, 78173, 78179, 78191, 78193, + 78203, 78229, 78233, 78241, 78259, 78277, 78283, 78301, 78307, 78311, + 78317, 78341, 78347, 78367, 78401, 78427, 78437, 78439, 78467, 78479, + 78487, 78497, 78509, 78511, 78517, 78539, 78541, 78553, 78569, 78571, + 78577, 78583, 78593, 78607, 78623, 78643, 78649, 78653, 78691, 78697, + 78707, 78713, 78721, 78737, 78779, 78781, 78787, 78791, 78797, 78803, + 78809, 78823, 78839, 78853, 78857, 78877, 78887, 78889, 78893, 78901, + 78919, 78929, 78941, 78977, 78979, 78989, 79031, 79039, 79043, 79063, + 79087, 79103, 79111, 79133, 79139, 79147, 79151, 79153, 79159, 79181, + 79187, 79193, 79201, 79229, 79231, 79241, 79259, 79273, 79279, 79283, + 79301, 79309, 79319, 79333, 79337, 79349, 79357, 79367, 79379, 79393, + 79397, 79399, 79411, 79423, 79427, 79433, 79451, 79481, 79493, 79531, + 79537, 79549, 79559, 79561, 79579, 79589, 79601, 79609, 79613, 79621, + 79627, 79631, 79633, 79657, 79669, 79687, 79691, 79693, 79697, 79699, + 79757, 79769, 79777, 79801, 79811, 79813, 79817, 79823, 79829, 79841, + 79843, 79847, 79861, 79867, 79873, 79889, 79901, 79903, 79907, 79939, + 79943, 79967, 79973, 79979, 79987, 79997, 79999, 80021, 80039, 80051, + 80071, 80077, 80107, 80111, 80141, 80147, 80149, 80153, 80167, 80173, + 80177, 80191, 80207, 80209, 80221, 80231, 80233, 80239, 80251, 80263, + 80273, 80279, 80287, 80309, 80317, 80329, 80341, 80347, 80363, 80369, + 80387, 80407, 80429, 80447, 80449, 80471, 80473, 80489, 80491, 80513, + 80527, 80537, 80557, 80567, 80599, 80603, 80611, 80621, 80627, 80629, + 80651, 80657, 80669, 80671, 80677, 80681, 80683, 80687, 80701, 80713, + 80737, 80747, 80749, 80761, 80777, 80779, 80783, 80789, 80803, 80809, + 80819, 80831, 80833, 80849, 80863, 80897, 80909, 80911, 80917, 80923, + 80929, 80933, 80953, 80963, 80989, 81001, 81013, 81017, 81019, 81023, + 81031, 81041, 81043, 81047, 81049, 81071, 81077, 81083, 81097, 81101, + 81119, 81131, 81157, 81163, 81173, 81181, 81197, 81199, 81203, 81223, + 81233, 81239, 81281, 81283, 81293, 81299, 81307, 81331, 81343, 81349, + 81353, 81359, 81371, 81373, 81401, 81409, 81421, 81439, 81457, 81463, + 81509, 81517, 81527, 81533, 81547, 81551, 81553, 81559, 81563, 81569, + 81611, 81619, 81629, 81637, 81647, 81649, 81667, 81671, 81677, 81689, + 81701, 81703, 81707, 81727, 81737, 81749, 81761, 81769, 81773, 81799, + 81817, 81839, 81847, 81853, 81869, 81883, 81899, 81901, 81919, 81929, + 81931, 81937, 81943, 81953, 81967, 81971, 81973, 82003, 82007, 82009, + 82013, 82021, 82031, 82037, 82039, 82051, 82067, 82073, 82129, 82139, + 82141, 82153, 82163, 82171, 82183, 82189, 82193, 82207, 82217, 82219, + 82223, 82231, 82237, 82241, 82261, 82267, 82279, 82301, 82307, 82339, + 82349, 82351, 82361, 82373, 82387, 82393, 82421, 82457, 82463, 82469, + 82471, 82483, 82487, 82493, 82499, 82507, 82529, 82531, 82549, 82559, + 82561, 82567, 82571, 82591, 82601, 82609, 82613, 82619, 82633, 82651, + 82657, 82699, 82721, 82723, 82727, 82729, 82757, 82759, 82763, 82781, + 82787, 82793, 82799, 82811, 82813, 82837, 82847, 82883, 82889, 82891, + 82903, 82913, 82939, 82963, 82981, 82997, 83003, 83009, 83023, 83047, + 83059, 83063, 83071, 83077, 83089, 83093, 83101, 83117, 83137, 83177, + 83203, 83207, 83219, 83221, 83227, 83231, 83233, 83243, 83257, 83267, + 83269, 83273, 83299, 83311, 83339, 83341, 83357, 83383, 83389, 83399, + 83401, 83407, 83417, 83423, 83431, 83437, 83443, 83449, 83459, 83471, + 83477, 83497, 83537, 83557, 83561, 83563, 83579, 83591, 83597, 83609, + 83617, 83621, 83639, 83641, 83653, 83663, 83689, 83701, 83717, 83719, + 83737, 83761, 83773, 83777, 83791, 83813, 83833, 83843, 83857, 83869, + 83873, 83891, 83903, 83911, 83921, 83933, 83939, 83969, 83983, 83987, + 84011, 84017, 84047, 84053, 84059, 84061, 84067, 84089, 84121, 84127, + 84131, 84137, 84143, 84163, 84179, 84181, 84191, 84199, 84211, 84221, + 84223, 84229, 84239, 84247, 84263, 84299, 84307, 84313, 84317, 84319, + 84347, 84349, 84377, 84389, 84391, 84401, 84407, 84421, 84431, 84437, + 84443, 84449, 84457, 84463, 84467, 84481, 84499, 84503, 84509, 84521, + 84523, 84533, 84551, 84559, 84589, 84629, 84631, 84649, 84653, 84659, + 84673, 84691, 84697, 84701, 84713, 84719, 84731, 84737, 84751, 84761, + 84787, 84793, 84809, 84811, 84827, 84857, 84859, 84869, 84871, 84913, + 84919, 84947, 84961, 84967, 84977, 84979, 84991, 85009, 85021, 85027, + 85037, 85049, 85061, 85081, 85087, 85091, 85093, 85103, 85109, 85121, + 85133, 85147, 85159, 85193, 85199, 85201, 85213, 85223, 85229, 85237, + 85243, 85247, 85259, 85297, 85303, 85313, 85331, 85333, 85361, 85363, + 85369, 85381, 85411, 85427, 85429, 85439, 85447, 85451, 85453, 85469, + 85487, 85513, 85517, 85523, 85531, 85549, 85571, 85577, 85597, 85601, + 85607, 85619, 85621, 85627, 85639, 85643, 85661, 85667, 85669, 85691, + 85703, 85711, 85717, 85733, 85751, 85781, 85793, 85817, 85819, 85829, + 85831, 85837, 85843, 85847, 85853, 85889, 85903, 85909, 85931, 85933, + 85991, 85999, 86011, 86017, 86027, 86029, 86069, 86077, 86083, 86111, + 86113, 86117, 86131, 86137, 86143, 86161, 86171, 86179, 86183, 86197, + 86201, 86209, 86239, 86243, 86249, 86257, 86263, 86269, 86287, 86291, + 86293, 86297, 86311, 86323, 86341, 86351, 86353, 86357, 86369, 86371, + 86381, 86389, 86399, 86413, 86423, 86441, 86453, 86461, 86467, 86477, + 86491, 86501, 86509, 86531, 86533, 86539, 86561, 86573, 86579, 86587, + 86599, 86627, 86629, 86677, 86689, 86693, 86711, 86719, 86729, 86743, + 86753, 86767, 86771, 86783, 86813, 86837, 86843, 86851, 86857, 86861, + 86869, 86923, 86927, 86929, 86939, 86951, 86959, 86969, 86981, 86993, + 87011, 87013, 87037, 87041, 87049, 87071, 87083, 87103, 87107, 87119, + 87121, 87133, 87149, 87151, 87179, 87181, 87187, 87211, 87221, 87223, + 87251, 87253, 87257, 87277, 87281, 87293, 87299, 87313, 87317, 87323, + 87337, 87359, 87383, 87403, 87407, 87421, 87427, 87433, 87443, 87473, + 87481, 87491, 87509, 87511, 87517, 87523, 87539, 87541, 87547, 87553, + 87557, 87559, 87583, 87587, 87589, 87613, 87623, 87629, 87631, 87641, + 87643, 87649, 87671, 87679, 87683, 87691, 87697, 87701, 87719, 87721, + 87739, 87743, 87751, 87767, 87793, 87797, 87803, 87811, 87833, 87853, + 87869, 87877, 87881, 87887, 87911, 87917, 87931, 87943, 87959, 87961, + 87973, 87977, 87991, 88001, 88003, 88007, 88019, 88037, 88069, 88079, + 88093, 88117, 88129, 88169, 88177, 88211, 88223, 88237, 88241, 88259, + 88261, 88289, 88301, 88321, 88327, 88337, 88339, 88379, 88397, 88411, + 88423, 88427, 88463, 88469, 88471, 88493, 88499, 88513, 88523, 88547, + 88589, 88591, 88607, 88609, 88643, 88651, 88657, 88661, 88663, 88667, + 88681, 88721, 88729, 88741, 88747, 88771, 88789, 88793, 88799, 88801, + 88807, 88811, 88813, 88817, 88819, 88843, 88853, 88861, 88867, 88873, + 88883, 88897, 88903, 88919, 88937, 88951, 88969, 88993, 88997, 89003, + 89009, 89017, 89021, 89041, 89051, 89057, 89069, 89071, 89083, 89087, + 89101, 89107, 89113, 89119, 89123, 89137, 89153, 89189, 89203, 89209, + 89213, 89227, 89231, 89237, 89261, 89269, 89273, 89293, 89303, 89317, + 89329, 89363, 89371, 89381, 89387, 89393, 89399, 89413, 89417, 89431, + 89443, 89449, 89459, 89477, 89491, 89501, 89513, 89519, 89521, 89527, + 89533, 89561, 89563, 89567, 89591, 89597, 89599, 89603, 89611, 89627, + 89633, 89653, 89657, 89659, 89669, 89671, 89681, 89689, 89753, 89759, + 89767, 89779, 89783, 89797, 89809, 89819, 89821, 89833, 89839, 89849, + 89867, 89891, 89897, 89899, 89909, 89917, 89923, 89939, 89959, 89963, + 89977, 89983, 89989, 90001, 90007, 90011, 90017, 90019, 90023, 90031, + 90053, 90059, 90067, 90071, 90073, 90089, 90107, 90121, 90127, 90149, + 90163, 90173, 90187, 90191, 90197, 90199, 90203, 90217, 90227, 90239, + 90247, 90263, 90271, 90281, 90289, 90313, 90353, 90359, 90371, 90373, + 90379, 90397, 90401, 90403, 90407, 90437, 90439, 90469, 90473, 90481, + 90499, 90511, 90523, 90527, 90529, 90533, 90547, 90583, 90599, 90617, + 90619, 90631, 90641, 90647, 90659, 90677, 90679, 90697, 90703, 90709, + 90731, 90749, 90787, 90793, 90803, 90821, 90823, 90833, 90841, 90847, + 90863, 90887, 90901, 90907, 90911, 90917, 90931, 90947, 90971, 90977, + 90989, 90997, 91009, 91019, 91033, 91079, 91081, 91097, 91099, 91121, + 91127, 91129, 91139, 91141, 91151, 91153, 91159, 91163, 91183, 91193, + 91199, 91229, 91237, 91243, 91249, 91253, 91283, 91291, 91297, 91303, + 91309, 91331, 91367, 91369, 91373, 91381, 91387, 91393, 91397, 91411, + 91423, 91433, 91453, 91457, 91459, 91463, 91493, 91499, 91513, 91529, + 91541, 91571, 91573, 91577, 91583, 91591, 91621, 91631, 91639, 91673, + 91691, 91703, 91711, 91733, 91753, 91757, 91771, 91781, 91801, 91807, + 91811, 91813, 91823, 91837, 91841, 91867, 91873, 91909, 91921, 91939, + 91943, 91951, 91957, 91961, 91967, 91969, 91997, 92003, 92009, 92033, + 92041, 92051, 92077, 92083, 92107, 92111, 92119, 92143, 92153, 92173, + 92177, 92179, 92189, 92203, 92219, 92221, 92227, 92233, 92237, 92243, + 92251, 92269, 92297, 92311, 92317, 92333, 92347, 92353, 92357, 92363, + 92369, 92377, 92381, 92383, 92387, 92399, 92401, 92413, 92419, 92431, + 92459, 92461, 92467, 92479, 92489, 92503, 92507, 92551, 92557, 92567, + 92569, 92581, 92593, 92623, 92627, 92639, 92641, 92647, 92657, 92669, + 92671, 92681, 92683, 92693, 92699, 92707, 92717, 92723, 92737, 92753, + 92761, 92767, 92779, 92789, 92791, 92801, 92809, 92821, 92831, 92849, + 92857, 92861, 92863, 92867, 92893, 92899, 92921, 92927, 92941, 92951, + 92957, 92959, 92987, 92993, 93001, 93047, 93053, 93059, 93077, 93083, + 93089, 93097, 93103, 93113, 93131, 93133, 93139, 93151, 93169, 93179, + 93187, 93199, 93229, 93239, 93241, 93251, 93253, 93257, 93263, 93281, + 93283, 93287, 93307, 93319, 93323, 93329, 93337, 93371, 93377, 93383, + 93407, 93419, 93427, 93463, 93479, 93481, 93487, 93491, 93493, 93497, + 93503, 93523, 93529, 93553, 93557, 93559, 93563, 93581, 93601, 93607, + 93629, 93637, 93683, 93701, 93703, 93719, 93739, 93761, 93763, 93787, + 93809, 93811, 93827, 93851, 93871, 93887, 93889, 93893, 93901, 93911, + 93913, 93923, 93937, 93941, 93949, 93967, 93971, 93979, 93983, 93997, + 94007, 94009, 94033, 94049, 94057, 94063, 94079, 94099, 94109, 94111, + 94117, 94121, 94151, 94153, 94169, 94201, 94207, 94219, 94229, 94253, + 94261, 94273, 94291, 94307, 94309, 94321, 94327, 94331, 94343, 94349, + 94351, 94379, 94397, 94399, 94421, 94427, 94433, 94439, 94441, 94447, + 94463, 94477, 94483, 94513, 94529, 94531, 94541, 94543, 94547, 94559, + 94561, 94573, 94583, 94597, 94603, 94613, 94621, 94649, 94651, 94687, + 94693, 94709, 94723, 94727, 94747, 94771, 94777, 94781, 94789, 94793, + 94811, 94819, 94823, 94837, 94841, 94847, 94849, 94873, 94889, 94903, + 94907, 94933, 94949, 94951, 94961, 94993, 94999, 95003, 95009, 95021, + 95027, 95063, 95071, 95083, 95087, 95089, 95093, 95101, 95107, 95111, + 95131, 95143, 95153, 95177, 95189, 95191, 95203, 95213, 95219, 95231, + 95233, 95239, 95257, 95261, 95267, 95273, 95279, 95287, 95311, 95317, + 95327, 95339, 95369, 95383, 95393, 95401, 95413, 95419, 95429, 95441, + 95443, 95461, 95467, 95471, 95479, 95483, 95507, 95527, 95531, 95539, + 95549, 95561, 95569, 95581, 95597, 95603, 95617, 95621, 95629, 95633, + 95651, 95701, 95707, 95713, 95717, 95723, 95731, 95737, 95747, 95773, + 95783, 95789, 95791, 95801, 95803, 95813, 95819, 95857, 95869, 95873, + 95881, 95891, 95911, 95917, 95923, 95929, 95947, 95957, 95959, 95971, + 95987, 95989, 96001, 96013, 96017, 96043, 96053, 96059, 96079, 96097, + 96137, 96149, 96157, 96167, 96179, 96181, 96199, 96211, 96221, 96223, + 96233, 96259, 96263, 96269, 96281, 96289, 96293, 96323, 96329, 96331, + 96337, 96353, 96377, 96401, 96419, 96431, 96443, 96451, 96457, 96461, + 96469, 96479, 96487, 96493, 96497, 96517, 96527, 96553, 96557, 96581, + 96587, 96589, 96601, 96643, 96661, 96667, 96671, 96697, 96703, 96731, + 96737, 96739, 96749, 96757, 96763, 96769, 96779, 96787, 96797, 96799, + 96821, 96823, 96827, 96847, 96851, 96857, 96893, 96907, 96911, 96931, + 96953, 96959, 96973, 96979, 96989, 96997, 97001, 97003, 97007, 97021, + 97039, 97073, 97081, 97103, 97117, 97127, 97151, 97157, 97159, 97169, + 97171, 97177, 97187, 97213, 97231, 97241, 97259, 97283, 97301, 97303, + 97327, 97367, 97369, 97373, 97379, 97381, 97387, 97397, 97423, 97429, + 97441, 97453, 97459, 97463, 97499, 97501, 97511, 97523, 97547, 97549, + 97553, 97561, 97571, 97577, 97579, 97583, 97607, 97609, 97613, 97649, + 97651, 97673, 97687, 97711, 97729, 97771, 97777, 97787, 97789, 97813, + 97829, 97841, 97843, 97847, 97849, 97859, 97861, 97871, 97879, 97883, + 97919, 97927, 97931, 97943, 97961, 97967, 97973, 97987, 98009, 98011, + 98017, 98041, 98047, 98057, 98081, 98101, 98123, 98129, 98143, 98179, + 98207, 98213, 98221, 98227, 98251, 98257, 98269, 98297, 98299, 98317, + 98321, 98323, 98327, 98347, 98369, 98377, 98387, 98389, 98407, 98411, + 98419, 98429, 98443, 98453, 98459, 98467, 98473, 98479, 98491, 98507, + 98519, 98533, 98543, 98561, 98563, 98573, 98597, 98621, 98627, 98639, + 98641, 98663, 98669, 98689, 98711, 98713, 98717, 98729, 98731, 98737, + 98773, 98779, 98801, 98807, 98809, 98837, 98849, 98867, 98869, 98873, + 98887, 98893, 98897, 98899, 98909, 98911, 98927, 98929, 98939, 98947, + 98953, 98963, 98981, 98993, 98999, 99013, 99017, 99023, 99041, 99053, + 99079, 99083, 99089, 99103, 99109, 99119, 99131, 99133, 99137, 99139, + 99149, 99173, 99181, 99191, 99223, 99233, 99241, 99251, 99257, 99259, + 99277, 99289, 99317, 99347, 99349, 99367, 99371, 99377, 99391, 99397, + 99401, 99409, 99431, 99439, 99469, 99487, 99497, 99523, 99527, 99529, + 99551, 99559, 99563, 99571, 99577, 99581, 99607, 99611, 99623, 99643, + 99661, 99667, 99679, 99689, 99707, 99709, 99713, 99719, 99721, 99733, + 99761, 99767, 99787, 99793, 99809, 99817, 99823, 99829, 99833, 99839, + 99859, 99871, 99877, 99881, 99901, 99907, 99923, 99929, 99961, 99971, + 99989, 99991, 100003, 100019, 100043, 100049, 100057, 100069, 100103, 100109, +100129, 100151, 100153, 100169, 100183, 100189, 100193, 100207, 100213, 100237, +100267, 100271, 100279, 100291, 100297, 100313, 100333, 100343, 100357, 100361, +100363, 100379, 100391, 100393, 100403, 100411, 100417, 100447, 100459, 100469, +100483, 100493, 100501, 100511, 100517, 100519, 100523, 100537, 100547, 100549, +100559, 100591, 100609, 100613, 100621, 100649, 100669, 100673, 100693, 100699, +100703, 100733, 100741, 100747, 100769, 100787, 100799, 100801, 100811, 100823, +100829, 100847, 100853, 100907, 100913, 100927, 100931, 100937, 100943, 100957, +100981, 100987, 100999, 101009, 101021, 101027, 101051, 101063, 101081, 101089, +101107, 101111, 101113, 101117, 101119, 101141, 101149, 101159, 101161, 101173, +101183, 101197, 101203, 101207, 101209, 101221, 101267, 101273, 101279, 101281, +101287, 101293, 101323, 101333, 101341, 101347, 101359, 101363, 101377, 101383, +101399, 101411, 101419, 101429, 101449, 101467, 101477, 101483, 101489, 101501, +101503, 101513, 101527, 101531, 101533, 101537, 101561, 101573, 101581, 101599, +101603, 101611, 101627, 101641, 101653, 101663, 101681, 101693, 101701, 101719, +101723, 101737, 101741, 101747, 101749, 101771, 101789, 101797, 101807, 101833, +101837, 101839, 101863, 101869, 101873, 101879, 101891, 101917, 101921, 101929, +101939, 101957, 101963, 101977, 101987, 101999, 102001, 102013, 102019, 102023, +102031, 102043, 102059, 102061, 102071, 102077, 102079, 102101, 102103, 102107, +102121, 102139, 102149, 102161, 102181, 102191, 102197, 102199, 102203, 102217, +102229, 102233, 102241, 102251, 102253, 102259, 102293, 102299, 102301, 102317, +102329, 102337, 102359, 102367, 102397, 102407, 102409, 102433, 102437, 102451, +102461, 102481, 102497, 102499, 102503, 102523, 102533, 102539, 102547, 102551, +102559, 102563, 102587, 102593, 102607, 102611, 102643, 102647, 102653, 102667, +102673, 102677, 102679, 102701, 102761, 102763, 102769, 102793, 102797, 102811, +102829, 102841, 102859, 102871, 102877, 102881, 102911, 102913, 102929, 102931, +102953, 102967, 102983, 103001, 103007, 103043, 103049, 103067, 103069, 103079, +103087, 103091, 103093, 103099, 103123, 103141, 103171, 103177, 103183, 103217, +103231, 103237, 103289, 103291, 103307, 103319, 103333, 103349, 103357, 103387, +103391, 103393, 103399, 103409, 103421, 103423, 103451, 103457, 103471, 103483, +103511, 103529, 103549, 103553, 103561, 103567, 103573, 103577, 103583, 103591, +103613, 103619, 103643, 103651, 103657, 103669, 103681, 103687, 103699, 103703, +103723, 103769, 103787, 103801, 103811, 103813, 103837, 103841, 103843, 103867, +103889, 103903, 103913, 103919, 103951, 103963, 103967, 103969, 103979, 103981, +103991, 103993, 103997, 104003, 104009, 104021, 104033, 104047, 104053, 104059, +104087, 104089, 104107, 104113, 104119, 104123, 104147, 104149, 104161, 104173, +104179, 104183, 104207, 104231, 104233, 104239, 104243, 104281, 104287, 104297, +104309, 104311, 104323, 104327, 104347, 104369, 104381, 104383, 104393, 104399, +104417, 104459, 104471, 104473, 104479, 104491, 104513, 104527, 104537, 104543, +104549, 104551, 104561, 104579, 104593, 104597, 104623, 104639, 104651, 104659, +104677, 104681, 104683, 104693, 104701, 104707, 104711, 104717, 104723, 104729, +) diff --git a/frozen_deps/Crypto/Util/py3compat.py b/frozen_deps/Crypto/Util/py3compat.py new file mode 100644 index 0000000..f8367c9 --- /dev/null +++ b/frozen_deps/Crypto/Util/py3compat.py @@ -0,0 +1,107 @@ +# -*- coding: utf-8 -*- +# +# Util/py3compat.py : Compatibility code for handling Py3k / Python 2.x +# +# Written in 2010 by Thorsten Behrens +# +# =================================================================== +# The contents of this file are dedicated to the public domain. To +# the extent that dedication to the public domain is not available, +# everyone is granted a worldwide, perpetual, royalty-free, +# non-exclusive license to exercise all rights associated with the +# contents of this file for any purpose whatsoever. +# No rights are reserved. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND +# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS +# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN +# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN +# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +# =================================================================== + +"""Compatibility code for handling string/bytes changes from Python 2.x to Py3k + +In Python 2.x, strings (of type ''str'') contain binary data, including encoded +Unicode text (e.g. UTF-8). The separate type ''unicode'' holds Unicode text. +Unicode literals are specified via the u'...' prefix. Indexing or slicing +either type always produces a string of the same type as the original. +Data read from a file is always of '''str'' type. + +In Python 3.x, strings (type ''str'') may only contain Unicode text. The u'...' +prefix and the ''unicode'' type are now redundant. A new type (called +''bytes'') has to be used for binary data (including any particular +''encoding'' of a string). The b'...' prefix allows one to specify a binary +literal. Indexing or slicing a string produces another string. Slicing a byte +string produces another byte string, but the indexing operation produces an +integer. Data read from a file is of '''str'' type if the file was opened in +text mode, or of ''bytes'' type otherwise. + +Since PyCrypto aims at supporting both Python 2.x and 3.x, the following helper +functions are used to keep the rest of the library as independent as possible +from the actual Python version. + +In general, the code should always deal with binary strings, and use integers +instead of 1-byte character strings. + +b(s) + Take a text string literal (with no prefix or with u'...' prefix) and + make a byte string. +bchr(c) + Take an integer and make a 1-character byte string. +bord(c) + Take the result of indexing on a byte string and make an integer. +tobytes(s) + Take a text string, a byte string, or a sequence of character taken from + a byte string and make a byte string. +""" + +__revision__ = "$Id$" + +import sys + +if sys.version_info[0] == 2: + def b(s): + return s + def bchr(s): + return chr(s) + def bstr(s): + return str(s) + def bord(s): + return ord(s) + if sys.version_info[1] == 1: + def tobytes(s): + try: + return s.encode('latin-1') + except: + return ''.join(s) + else: + def tobytes(s): + if isinstance(s, str): + return s.encode("latin-1") + else: + return ''.join(s) +else: + def b(s): + return s.encode("latin-1") # utf-8 would cause some side-effects we don't want + def bchr(s): + return bytes([s]) + def bstr(s): + if isinstance(s,str): + return bytes(s,"latin-1") + else: + return bytes(s) + def bord(s): + return s + def tobytes(s): + if isinstance(s,bytes): + return s + else: + if isinstance(s,str): + return s.encode("latin-1") + else: + return bytes(s) + +# vim:set ts=4 sw=4 sts=4 expandtab: diff --git a/frozen_deps/Crypto/Util/randpool.py b/frozen_deps/Crypto/Util/randpool.py new file mode 100644 index 0000000..8b5a0b7 --- /dev/null +++ b/frozen_deps/Crypto/Util/randpool.py @@ -0,0 +1,82 @@ +# +# randpool.py : Cryptographically strong random number generation +# +# Part of the Python Cryptography Toolkit +# +# Written by Andrew M. Kuchling, Mark Moraes, and others +# +# =================================================================== +# The contents of this file are dedicated to the public domain. To +# the extent that dedication to the public domain is not available, +# everyone is granted a worldwide, perpetual, royalty-free, +# non-exclusive license to exercise all rights associated with the +# contents of this file for any purpose whatsoever. +# No rights are reserved. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND +# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS +# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN +# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN +# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +# =================================================================== +# + +__revision__ = "$Id$" + +from Crypto.pct_warnings import RandomPool_DeprecationWarning +import Crypto.Random +import warnings + +class RandomPool: + """Deprecated. Use Random.new() instead. + + See http://www.pycrypto.org/randpool-broken + """ + def __init__(self, numbytes = 160, cipher=None, hash=None, file=None): + warnings.warn("This application uses RandomPool, which is BROKEN in older releases. See http://www.pycrypto.org/randpool-broken", + RandomPool_DeprecationWarning) + self.__rng = Crypto.Random.new() + self.bytes = numbytes + self.bits = self.bytes * 8 + self.entropy = self.bits + + def get_bytes(self, N): + return self.__rng.read(N) + + def _updateEntropyEstimate(self, nbits): + self.entropy += nbits + if self.entropy < 0: + self.entropy = 0 + elif self.entropy > self.bits: + self.entropy = self.bits + + def _randomize(self, N=0, devname="/dev/urandom"): + """Dummy _randomize() function""" + self.__rng.flush() + + def randomize(self, N=0): + """Dummy randomize() function""" + self.__rng.flush() + + def stir(self, s=''): + """Dummy stir() function""" + self.__rng.flush() + + def stir_n(self, N=3): + """Dummy stir_n() function""" + self.__rng.flush() + + def add_event(self, s=''): + """Dummy add_event() function""" + self.__rng.flush() + + def getBytes(self, N): + """Dummy getBytes() function""" + return self.get_bytes(N) + + def addEvent(self, event, s=""): + """Dummy addEvent() function""" + return self.add_event() diff --git a/frozen_deps/Crypto/Util/strxor.cpython-38-x86_64-linux-gnu.so b/frozen_deps/Crypto/Util/strxor.cpython-38-x86_64-linux-gnu.so Binary files differnew file mode 100755 index 0000000..8358023 --- /dev/null +++ b/frozen_deps/Crypto/Util/strxor.cpython-38-x86_64-linux-gnu.so diff --git a/frozen_deps/Crypto/Util/winrandom.py b/frozen_deps/Crypto/Util/winrandom.py new file mode 100644 index 0000000..0242815 --- /dev/null +++ b/frozen_deps/Crypto/Util/winrandom.py @@ -0,0 +1,28 @@ +# +# Util/winrandom.py : Stub for Crypto.Random.OSRNG.winrandom +# +# Written in 2008 by Dwayne C. Litzenberger <[email protected]> +# +# =================================================================== +# The contents of this file are dedicated to the public domain. To +# the extent that dedication to the public domain is not available, +# everyone is granted a worldwide, perpetual, royalty-free, +# non-exclusive license to exercise all rights associated with the +# contents of this file for any purpose whatsoever. +# No rights are reserved. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND +# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS +# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN +# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN +# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +# =================================================================== + +__revision__ = "$Id$" + +from Crypto.Random.OSRNG.winrandom import * + +# vim:set ts=4 sw=4 sts=4 expandtab: |