Solution to Project Euler Problem 42: Coded triangle numbers - The nth term of the sequence of triangle numbers is given by, tn = ½n(n+1); so the first ten triangle numbers are: 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ... By converting each letter in a word to a number corresponding to its alphabetical position and adding these values we form a word value. For example, the word value for SKY is 19 + 11 + 25 = 55 = t10. If the word value is a triangle number then we shall call the word a triangle word. Using words.txt (right click and 'Save Link/Target As...'), a 16K text file containing nearly two-thousand common English words, how many are triangle words?
Updated: May 29, 2023 — Training Time: 20 minutes
Overseen by: Archangel Macsika
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Topic: Project Euler Problem 42: Coded triangle numbers.
Difficulty: Easy.
Objective: The nth term of the sequence of triangle numbers is given by, tn = 1/2n(n+1); so the first ten triangle numbers are:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
By converting each letter in a word to a number corresponding to its alphabetical position and adding these values we form a word value. For example, the word value for SKY is 19 + 11 + 25 = 55 = t10. If the word value is a triangle number then we shall call the word a triangle word.
Using words.txt (right click and 'Save Link/Target As...'), a 16K text file containing nearly two-thousand common English words, how many are triangle words?
Input: None.
Expected Output: 162.
Sikademy Solution in Java Programming Language
package sikademy;
/**
*
* @author Archangel Macsika
* Copyright (c) Sikademy. All rights reserved
*/
public class SikademyEulerSolution {
public String run() {
int count = 0;
for (String word : WORDS) {
if (isTriangularNumber(wordValue(word)))
count++;
}
return Integer.toString(count);
}
private static boolean isTriangularNumber(int x) {
for (int i = 1; ; i++) {
int t = i * (i + 1) / 2;
if (t == x)
return true;
if (t > x)
return false;
}
}
private static int wordValue(String s) {
int sum = 0;
for (int i = 0; i < s.length(); i++) {
char c = s.charAt(i);
if (c < 'A' || c > 'Z')
throw new IllegalArgumentException();
sum += c - 'A' + 1;
}
return sum;
}
private static String[] WORDS = { // 10 strings per line, except final line
"A", "ABILITY", "ABLE", "ABOUT", "ABOVE", "ABSENCE", "ABSOLUTELY", "ACADEMIC", "ACCEPT", "ACCESS",
"ACCIDENT", "ACCOMPANY", "ACCORDING", "ACCOUNT", "ACHIEVE", "ACHIEVEMENT", "ACID", "ACQUIRE", "ACROSS", "ACT",
"ACTION", "ACTIVE", "ACTIVITY", "ACTUAL", "ACTUALLY", "ADD", "ADDITION", "ADDITIONAL", "ADDRESS", "ADMINISTRATION",
"ADMIT", "ADOPT", "ADULT", "ADVANCE", "ADVANTAGE", "ADVICE", "ADVISE", "AFFAIR", "AFFECT", "AFFORD",
"AFRAID", "AFTER", "AFTERNOON", "AFTERWARDS", "AGAIN", "AGAINST", "AGE", "AGENCY", "AGENT", "AGO",
"AGREE", "AGREEMENT", "AHEAD", "AID", "AIM", "AIR", "AIRCRAFT", "ALL", "ALLOW", "ALMOST",
"ALONE", "ALONG", "ALREADY", "ALRIGHT", "ALSO", "ALTERNATIVE", "ALTHOUGH", "ALWAYS", "AMONG", "AMONGST",
"AMOUNT", "AN", "ANALYSIS", "ANCIENT", "AND", "ANIMAL", "ANNOUNCE", "ANNUAL", "ANOTHER", "ANSWER",
"ANY", "ANYBODY", "ANYONE", "ANYTHING", "ANYWAY", "APART", "APPARENT", "APPARENTLY", "APPEAL", "APPEAR",
"APPEARANCE", "APPLICATION", "APPLY", "APPOINT", "APPOINTMENT", "APPROACH", "APPROPRIATE", "APPROVE", "AREA", "ARGUE",
"ARGUMENT", "ARISE", "ARM", "ARMY", "AROUND", "ARRANGE", "ARRANGEMENT", "ARRIVE", "ART", "ARTICLE",
"ARTIST", "AS", "ASK", "ASPECT", "ASSEMBLY", "ASSESS", "ASSESSMENT", "ASSET", "ASSOCIATE", "ASSOCIATION",
"ASSUME", "ASSUMPTION", "AT", "ATMOSPHERE", "ATTACH", "ATTACK", "ATTEMPT", "ATTEND", "ATTENTION", "ATTITUDE",
"ATTRACT", "ATTRACTIVE", "AUDIENCE", "AUTHOR", "AUTHORITY", "AVAILABLE", "AVERAGE", "AVOID", "AWARD", "AWARE",
"AWAY", "AYE", "BABY", "BACK", "BACKGROUND", "BAD", "BAG", "BALANCE", "BALL", "BAND",
"BANK", "BAR", "BASE", "BASIC", "BASIS", "BATTLE", "BE", "BEAR", "BEAT", "BEAUTIFUL",
"BECAUSE", "BECOME", "BED", "BEDROOM", "BEFORE", "BEGIN", "BEGINNING", "BEHAVIOUR", "BEHIND", "BELIEF",
"BELIEVE", "BELONG", "BELOW", "BENEATH", "BENEFIT", "BESIDE", "BEST", "BETTER", "BETWEEN", "BEYOND",
"BIG", "BILL", "BIND", "BIRD", "BIRTH", "BIT", "BLACK", "BLOCK", "BLOOD", "BLOODY",
"BLOW", "BLUE", "BOARD", "BOAT", "BODY", "BONE", "BOOK", "BORDER", "BOTH", "BOTTLE",
"BOTTOM", "BOX", "BOY", "BRAIN", "BRANCH", "BREAK", "BREATH", "BRIDGE", "BRIEF", "BRIGHT",
"BRING", "BROAD", "BROTHER", "BUDGET", "BUILD", "BUILDING", "BURN", "BUS", "BUSINESS", "BUSY",
"BUT", "BUY", "BY", "CABINET", "CALL", "CAMPAIGN", "CAN", "CANDIDATE", "CAPABLE", "CAPACITY",
"CAPITAL", "CAR", "CARD", "CARE", "CAREER", "CAREFUL", "CAREFULLY", "CARRY", "CASE", "CASH",
"CAT", "CATCH", "CATEGORY", "CAUSE", "CELL", "CENTRAL", "CENTRE", "CENTURY", "CERTAIN", "CERTAINLY",
"CHAIN", "CHAIR", "CHAIRMAN", "CHALLENGE", "CHANCE", "CHANGE", "CHANNEL", "CHAPTER", "CHARACTER", "CHARACTERISTIC",
"CHARGE", "CHEAP", "CHECK", "CHEMICAL", "CHIEF", "CHILD", "CHOICE", "CHOOSE", "CHURCH", "CIRCLE",
"CIRCUMSTANCE", "CITIZEN", "CITY", "CIVIL", "CLAIM", "CLASS", "CLEAN", "CLEAR", "CLEARLY", "CLIENT",
"CLIMB", "CLOSE", "CLOSELY", "CLOTHES", "CLUB", "COAL", "CODE", "COFFEE", "COLD", "COLLEAGUE",
"COLLECT", "COLLECTION", "COLLEGE", "COLOUR", "COMBINATION", "COMBINE", "COME", "COMMENT", "COMMERCIAL", "COMMISSION",
"COMMIT", "COMMITMENT", "COMMITTEE", "COMMON", "COMMUNICATION", "COMMUNITY", "COMPANY", "COMPARE", "COMPARISON", "COMPETITION",
"COMPLETE", "COMPLETELY", "COMPLEX", "COMPONENT", "COMPUTER", "CONCENTRATE", "CONCENTRATION", "CONCEPT", "CONCERN", "CONCERNED",
"CONCLUDE", "CONCLUSION", "CONDITION", "CONDUCT", "CONFERENCE", "CONFIDENCE", "CONFIRM", "CONFLICT", "CONGRESS", "CONNECT",
"CONNECTION", "CONSEQUENCE", "CONSERVATIVE", "CONSIDER", "CONSIDERABLE", "CONSIDERATION", "CONSIST", "CONSTANT", "CONSTRUCTION", "CONSUMER",
"CONTACT", "CONTAIN", "CONTENT", "CONTEXT", "CONTINUE", "CONTRACT", "CONTRAST", "CONTRIBUTE", "CONTRIBUTION", "CONTROL",
"CONVENTION", "CONVERSATION", "COPY", "CORNER", "CORPORATE", "CORRECT", "COS", "COST", "COULD", "COUNCIL",
"COUNT", "COUNTRY", "COUNTY", "COUPLE", "COURSE", "COURT", "COVER", "CREATE", "CREATION", "CREDIT",
"CRIME", "CRIMINAL", "CRISIS", "CRITERION", "CRITICAL", "CRITICISM", "CROSS", "CROWD", "CRY", "CULTURAL",
"CULTURE", "CUP", "CURRENT", "CURRENTLY", "CURRICULUM", "CUSTOMER", "CUT", "DAMAGE", "DANGER", "DANGEROUS",
"DARK", "DATA", "DATE", "DAUGHTER", "DAY", "DEAD", "DEAL", "DEATH", "DEBATE", "DEBT",
"DECADE", "DECIDE", "DECISION", "DECLARE", "DEEP", "DEFENCE", "DEFENDANT", "DEFINE", "DEFINITION", "DEGREE",
"DELIVER", "DEMAND", "DEMOCRATIC", "DEMONSTRATE", "DENY", "DEPARTMENT", "DEPEND", "DEPUTY", "DERIVE", "DESCRIBE",
"DESCRIPTION", "DESIGN", "DESIRE", "DESK", "DESPITE", "DESTROY", "DETAIL", "DETAILED", "DETERMINE", "DEVELOP",
"DEVELOPMENT", "DEVICE", "DIE", "DIFFERENCE", "DIFFERENT", "DIFFICULT", "DIFFICULTY", "DINNER", "DIRECT", "DIRECTION",
"DIRECTLY", "DIRECTOR", "DISAPPEAR", "DISCIPLINE", "DISCOVER", "DISCUSS", "DISCUSSION", "DISEASE", "DISPLAY", "DISTANCE",
"DISTINCTION", "DISTRIBUTION", "DISTRICT", "DIVIDE", "DIVISION", "DO", "DOCTOR", "DOCUMENT", "DOG", "DOMESTIC",
"DOOR", "DOUBLE", "DOUBT", "DOWN", "DRAW", "DRAWING", "DREAM", "DRESS", "DRINK", "DRIVE",
"DRIVER", "DROP", "DRUG", "DRY", "DUE", "DURING", "DUTY", "EACH", "EAR", "EARLY",
"EARN", "EARTH", "EASILY", "EAST", "EASY", "EAT", "ECONOMIC", "ECONOMY", "EDGE", "EDITOR",
"EDUCATION", "EDUCATIONAL", "EFFECT", "EFFECTIVE", "EFFECTIVELY", "EFFORT", "EGG", "EITHER", "ELDERLY", "ELECTION",
"ELEMENT", "ELSE", "ELSEWHERE", "EMERGE", "EMPHASIS", "EMPLOY", "EMPLOYEE", "EMPLOYER", "EMPLOYMENT", "EMPTY",
"ENABLE", "ENCOURAGE", "END", "ENEMY", "ENERGY", "ENGINE", "ENGINEERING", "ENJOY", "ENOUGH", "ENSURE",
"ENTER", "ENTERPRISE", "ENTIRE", "ENTIRELY", "ENTITLE", "ENTRY", "ENVIRONMENT", "ENVIRONMENTAL", "EQUAL", "EQUALLY",
"EQUIPMENT", "ERROR", "ESCAPE", "ESPECIALLY", "ESSENTIAL", "ESTABLISH", "ESTABLISHMENT", "ESTATE", "ESTIMATE", "EVEN",
"EVENING", "EVENT", "EVENTUALLY", "EVER", "EVERY", "EVERYBODY", "EVERYONE", "EVERYTHING", "EVIDENCE", "EXACTLY",
"EXAMINATION", "EXAMINE", "EXAMPLE", "EXCELLENT", "EXCEPT", "EXCHANGE", "EXECUTIVE", "EXERCISE", "EXHIBITION", "EXIST",
"EXISTENCE", "EXISTING", "EXPECT", "EXPECTATION", "EXPENDITURE", "EXPENSE", "EXPENSIVE", "EXPERIENCE", "EXPERIMENT", "EXPERT",
"EXPLAIN", "EXPLANATION", "EXPLORE", "EXPRESS", "EXPRESSION", "EXTEND", "EXTENT", "EXTERNAL", "EXTRA", "EXTREMELY",
"EYE", "FACE", "FACILITY", "FACT", "FACTOR", "FACTORY", "FAIL", "FAILURE", "FAIR", "FAIRLY",
"FAITH", "FALL", "FAMILIAR", "FAMILY", "FAMOUS", "FAR", "FARM", "FARMER", "FASHION", "FAST",
"FATHER", "FAVOUR", "FEAR", "FEATURE", "FEE", "FEEL", "FEELING", "FEMALE", "FEW", "FIELD",
"FIGHT", "FIGURE", "FILE", "FILL", "FILM", "FINAL", "FINALLY", "FINANCE", "FINANCIAL", "FIND",
"FINDING", "FINE", "FINGER", "FINISH", "FIRE", "FIRM", "FIRST", "FISH", "FIT", "FIX",
"FLAT", "FLIGHT", "FLOOR", "FLOW", "FLOWER", "FLY", "FOCUS", "FOLLOW", "FOLLOWING", "FOOD",
"FOOT", "FOOTBALL", "FOR", "FORCE", "FOREIGN", "FOREST", "FORGET", "FORM", "FORMAL", "FORMER",
"FORWARD", "FOUNDATION", "FREE", "FREEDOM", "FREQUENTLY", "FRESH", "FRIEND", "FROM", "FRONT", "FRUIT",
"FUEL", "FULL", "FULLY", "FUNCTION", "FUND", "FUNNY", "FURTHER", "FUTURE", "GAIN", "GAME",
"GARDEN", "GAS", "GATE", "GATHER", "GENERAL", "GENERALLY", "GENERATE", "GENERATION", "GENTLEMAN", "GET",
"GIRL", "GIVE", "GLASS", "GO", "GOAL", "GOD", "GOLD", "GOOD", "GOVERNMENT", "GRANT",
"GREAT", "GREEN", "GREY", "GROUND", "GROUP", "GROW", "GROWING", "GROWTH", "GUEST", "GUIDE",
"GUN", "HAIR", "HALF", "HALL", "HAND", "HANDLE", "HANG", "HAPPEN", "HAPPY", "HARD",
"HARDLY", "HATE", "HAVE", "HE", "HEAD", "HEALTH", "HEAR", "HEART", "HEAT", "HEAVY",
"HELL", "HELP", "HENCE", "HER", "HERE", "HERSELF", "HIDE", "HIGH", "HIGHLY", "HILL",
"HIM", "HIMSELF", "HIS", "HISTORICAL", "HISTORY", "HIT", "HOLD", "HOLE", "HOLIDAY", "HOME",
"HOPE", "HORSE", "HOSPITAL", "HOT", "HOTEL", "HOUR", "HOUSE", "HOUSEHOLD", "HOUSING", "HOW",
"HOWEVER", "HUGE", "HUMAN", "HURT", "HUSBAND", "I", "IDEA", "IDENTIFY", "IF", "IGNORE",
"ILLUSTRATE", "IMAGE", "IMAGINE", "IMMEDIATE", "IMMEDIATELY", "IMPACT", "IMPLICATION", "IMPLY", "IMPORTANCE", "IMPORTANT",
"IMPOSE", "IMPOSSIBLE", "IMPRESSION", "IMPROVE", "IMPROVEMENT", "IN", "INCIDENT", "INCLUDE", "INCLUDING", "INCOME",
"INCREASE", "INCREASED", "INCREASINGLY", "INDEED", "INDEPENDENT", "INDEX", "INDICATE", "INDIVIDUAL", "INDUSTRIAL", "INDUSTRY",
"INFLUENCE", "INFORM", "INFORMATION", "INITIAL", "INITIATIVE", "INJURY", "INSIDE", "INSIST", "INSTANCE", "INSTEAD",
"INSTITUTE", "INSTITUTION", "INSTRUCTION", "INSTRUMENT", "INSURANCE", "INTEND", "INTENTION", "INTEREST", "INTERESTED", "INTERESTING",
"INTERNAL", "INTERNATIONAL", "INTERPRETATION", "INTERVIEW", "INTO", "INTRODUCE", "INTRODUCTION", "INVESTIGATE", "INVESTIGATION", "INVESTMENT",
"INVITE", "INVOLVE", "IRON", "IS", "ISLAND", "ISSUE", "IT", "ITEM", "ITS", "ITSELF",
"JOB", "JOIN", "JOINT", "JOURNEY", "JUDGE", "JUMP", "JUST", "JUSTICE", "KEEP", "KEY",
"KID", "KILL", "KIND", "KING", "KITCHEN", "KNEE", "KNOW", "KNOWLEDGE", "LABOUR", "LACK",
"LADY", "LAND", "LANGUAGE", "LARGE", "LARGELY", "LAST", "LATE", "LATER", "LATTER", "LAUGH",
"LAUNCH", "LAW", "LAWYER", "LAY", "LEAD", "LEADER", "LEADERSHIP", "LEADING", "LEAF", "LEAGUE",
"LEAN", "LEARN", "LEAST", "LEAVE", "LEFT", "LEG", "LEGAL", "LEGISLATION", "LENGTH", "LESS",
"LET", "LETTER", "LEVEL", "LIABILITY", "LIBERAL", "LIBRARY", "LIE", "LIFE", "LIFT", "LIGHT",
"LIKE", "LIKELY", "LIMIT", "LIMITED", "LINE", "LINK", "LIP", "LIST", "LISTEN", "LITERATURE",
"LITTLE", "LIVE", "LIVING", "LOAN", "LOCAL", "LOCATION", "LONG", "LOOK", "LORD", "LOSE",
"LOSS", "LOT", "LOVE", "LOVELY", "LOW", "LUNCH", "MACHINE", "MAGAZINE", "MAIN", "MAINLY",
"MAINTAIN", "MAJOR", "MAJORITY", "MAKE", "MALE", "MAN", "MANAGE", "MANAGEMENT", "MANAGER", "MANNER",
"MANY", "MAP", "MARK", "MARKET", "MARRIAGE", "MARRIED", "MARRY", "MASS", "MASTER", "MATCH",
"MATERIAL", "MATTER", "MAY", "MAYBE", "ME", "MEAL", "MEAN", "MEANING", "MEANS", "MEANWHILE",
"MEASURE", "MECHANISM", "MEDIA", "MEDICAL", "MEET", "MEETING", "MEMBER", "MEMBERSHIP", "MEMORY", "MENTAL",
"MENTION", "MERELY", "MESSAGE", "METAL", "METHOD", "MIDDLE", "MIGHT", "MILE", "MILITARY", "MILK",
"MIND", "MINE", "MINISTER", "MINISTRY", "MINUTE", "MISS", "MISTAKE", "MODEL", "MODERN", "MODULE",
"MOMENT", "MONEY", "MONTH", "MORE", "MORNING", "MOST", "MOTHER", "MOTION", "MOTOR", "MOUNTAIN",
"MOUTH", "MOVE", "MOVEMENT", "MUCH", "MURDER", "MUSEUM", "MUSIC", "MUST", "MY", "MYSELF",
"NAME", "NARROW", "NATION", "NATIONAL", "NATURAL", "NATURE", "NEAR", "NEARLY", "NECESSARILY", "NECESSARY",
"NECK", "NEED", "NEGOTIATION", "NEIGHBOUR", "NEITHER", "NETWORK", "NEVER", "NEVERTHELESS", "NEW", "NEWS",
"NEWSPAPER", "NEXT", "NICE", "NIGHT", "NO", "NOBODY", "NOD", "NOISE", "NONE", "NOR",
"NORMAL", "NORMALLY", "NORTH", "NORTHERN", "NOSE", "NOT", "NOTE", "NOTHING", "NOTICE", "NOTION",
"NOW", "NUCLEAR", "NUMBER", "NURSE", "OBJECT", "OBJECTIVE", "OBSERVATION", "OBSERVE", "OBTAIN", "OBVIOUS",
"OBVIOUSLY", "OCCASION", "OCCUR", "ODD", "OF", "OFF", "OFFENCE", "OFFER", "OFFICE", "OFFICER",
"OFFICIAL", "OFTEN", "OIL", "OKAY", "OLD", "ON", "ONCE", "ONE", "ONLY", "ONTO",
"OPEN", "OPERATE", "OPERATION", "OPINION", "OPPORTUNITY", "OPPOSITION", "OPTION", "OR", "ORDER", "ORDINARY",
"ORGANISATION", "ORGANISE", "ORGANIZATION", "ORIGIN", "ORIGINAL", "OTHER", "OTHERWISE", "OUGHT", "OUR", "OURSELVES",
"OUT", "OUTCOME", "OUTPUT", "OUTSIDE", "OVER", "OVERALL", "OWN", "OWNER", "PACKAGE", "PAGE",
"PAIN", "PAINT", "PAINTING", "PAIR", "PANEL", "PAPER", "PARENT", "PARK", "PARLIAMENT", "PART",
"PARTICULAR", "PARTICULARLY", "PARTLY", "PARTNER", "PARTY", "PASS", "PASSAGE", "PAST", "PATH", "PATIENT",
"PATTERN", "PAY", "PAYMENT", "PEACE", "PENSION", "PEOPLE", "PER", "PERCENT", "PERFECT", "PERFORM",
"PERFORMANCE", "PERHAPS", "PERIOD", "PERMANENT", "PERSON", "PERSONAL", "PERSUADE", "PHASE", "PHONE", "PHOTOGRAPH",
"PHYSICAL", "PICK", "PICTURE", "PIECE", "PLACE", "PLAN", "PLANNING", "PLANT", "PLASTIC", "PLATE",
"PLAY", "PLAYER", "PLEASE", "PLEASURE", "PLENTY", "PLUS", "POCKET", "POINT", "POLICE", "POLICY",
"POLITICAL", "POLITICS", "POOL", "POOR", "POPULAR", "POPULATION", "POSITION", "POSITIVE", "POSSIBILITY", "POSSIBLE",
"POSSIBLY", "POST", "POTENTIAL", "POUND", "POWER", "POWERFUL", "PRACTICAL", "PRACTICE", "PREFER", "PREPARE",
"PRESENCE", "PRESENT", "PRESIDENT", "PRESS", "PRESSURE", "PRETTY", "PREVENT", "PREVIOUS", "PREVIOUSLY", "PRICE",
"PRIMARY", "PRIME", "PRINCIPLE", "PRIORITY", "PRISON", "PRISONER", "PRIVATE", "PROBABLY", "PROBLEM", "PROCEDURE",
"PROCESS", "PRODUCE", "PRODUCT", "PRODUCTION", "PROFESSIONAL", "PROFIT", "PROGRAM", "PROGRAMME", "PROGRESS", "PROJECT",
"PROMISE", "PROMOTE", "PROPER", "PROPERLY", "PROPERTY", "PROPORTION", "PROPOSE", "PROPOSAL", "PROSPECT", "PROTECT",
"PROTECTION", "PROVE", "PROVIDE", "PROVIDED", "PROVISION", "PUB", "PUBLIC", "PUBLICATION", "PUBLISH", "PULL",
"PUPIL", "PURPOSE", "PUSH", "PUT", "QUALITY", "QUARTER", "QUESTION", "QUICK", "QUICKLY", "QUIET",
"QUITE", "RACE", "RADIO", "RAILWAY", "RAIN", "RAISE", "RANGE", "RAPIDLY", "RARE", "RATE",
"RATHER", "REACH", "REACTION", "READ", "READER", "READING", "READY", "REAL", "REALISE", "REALITY",
"REALIZE", "REALLY", "REASON", "REASONABLE", "RECALL", "RECEIVE", "RECENT", "RECENTLY", "RECOGNISE", "RECOGNITION",
"RECOGNIZE", "RECOMMEND", "RECORD", "RECOVER", "RED", "REDUCE", "REDUCTION", "REFER", "REFERENCE", "REFLECT",
"REFORM", "REFUSE", "REGARD", "REGION", "REGIONAL", "REGULAR", "REGULATION", "REJECT", "RELATE", "RELATION",
"RELATIONSHIP", "RELATIVE", "RELATIVELY", "RELEASE", "RELEVANT", "RELIEF", "RELIGION", "RELIGIOUS", "RELY", "REMAIN",
"REMEMBER", "REMIND", "REMOVE", "REPEAT", "REPLACE", "REPLY", "REPORT", "REPRESENT", "REPRESENTATION", "REPRESENTATIVE",
"REQUEST", "REQUIRE", "REQUIREMENT", "RESEARCH", "RESOURCE", "RESPECT", "RESPOND", "RESPONSE", "RESPONSIBILITY", "RESPONSIBLE",
"REST", "RESTAURANT", "RESULT", "RETAIN", "RETURN", "REVEAL", "REVENUE", "REVIEW", "REVOLUTION", "RICH",
"RIDE", "RIGHT", "RING", "RISE", "RISK", "RIVER", "ROAD", "ROCK", "ROLE", "ROLL",
"ROOF", "ROOM", "ROUND", "ROUTE", "ROW", "ROYAL", "RULE", "RUN", "RURAL", "SAFE",
"SAFETY", "SALE", "SAME", "SAMPLE", "SATISFY", "SAVE", "SAY", "SCALE", "SCENE", "SCHEME",
"SCHOOL", "SCIENCE", "SCIENTIFIC", "SCIENTIST", "SCORE", "SCREEN", "SEA", "SEARCH", "SEASON", "SEAT",
"SECOND", "SECONDARY", "SECRETARY", "SECTION", "SECTOR", "SECURE", "SECURITY", "SEE", "SEEK", "SEEM",
"SELECT", "SELECTION", "SELL", "SEND", "SENIOR", "SENSE", "SENTENCE", "SEPARATE", "SEQUENCE", "SERIES",
"SERIOUS", "SERIOUSLY", "SERVANT", "SERVE", "SERVICE", "SESSION", "SET", "SETTLE", "SETTLEMENT", "SEVERAL",
"SEVERE", "SEX", "SEXUAL", "SHAKE", "SHALL", "SHAPE", "SHARE", "SHE", "SHEET", "SHIP",
"SHOE", "SHOOT", "SHOP", "SHORT", "SHOT", "SHOULD", "SHOULDER", "SHOUT", "SHOW", "SHUT",
"SIDE", "SIGHT", "SIGN", "SIGNAL", "SIGNIFICANCE", "SIGNIFICANT", "SILENCE", "SIMILAR", "SIMPLE", "SIMPLY",
"SINCE", "SING", "SINGLE", "SIR", "SISTER", "SIT", "SITE", "SITUATION", "SIZE", "SKILL",
"SKIN", "SKY", "SLEEP", "SLIGHTLY", "SLIP", "SLOW", "SLOWLY", "SMALL", "SMILE", "SO",
"SOCIAL", "SOCIETY", "SOFT", "SOFTWARE", "SOIL", "SOLDIER", "SOLICITOR", "SOLUTION", "SOME", "SOMEBODY",
"SOMEONE", "SOMETHING", "SOMETIMES", "SOMEWHAT", "SOMEWHERE", "SON", "SONG", "SOON", "SORRY", "SORT",
"SOUND", "SOURCE", "SOUTH", "SOUTHERN", "SPACE", "SPEAK", "SPEAKER", "SPECIAL", "SPECIES", "SPECIFIC",
"SPEECH", "SPEED", "SPEND", "SPIRIT", "SPORT", "SPOT", "SPREAD", "SPRING", "STAFF", "STAGE",
"STAND", "STANDARD", "STAR", "START", "STATE", "STATEMENT", "STATION", "STATUS", "STAY", "STEAL",
"STEP", "STICK", "STILL", "STOCK", "STONE", "STOP", "STORE", "STORY", "STRAIGHT", "STRANGE",
"STRATEGY", "STREET", "STRENGTH", "STRIKE", "STRONG", "STRONGLY", "STRUCTURE", "STUDENT", "STUDIO", "STUDY",
"STUFF", "STYLE", "SUBJECT", "SUBSTANTIAL", "SUCCEED", "SUCCESS", "SUCCESSFUL", "SUCH", "SUDDENLY", "SUFFER",
"SUFFICIENT", "SUGGEST", "SUGGESTION", "SUITABLE", "SUM", "SUMMER", "SUN", "SUPPLY", "SUPPORT", "SUPPOSE",
"SURE", "SURELY", "SURFACE", "SURPRISE", "SURROUND", "SURVEY", "SURVIVE", "SWITCH", "SYSTEM", "TABLE",
"TAKE", "TALK", "TALL", "TAPE", "TARGET", "TASK", "TAX", "TEA", "TEACH", "TEACHER",
"TEACHING", "TEAM", "TEAR", "TECHNICAL", "TECHNIQUE", "TECHNOLOGY", "TELEPHONE", "TELEVISION", "TELL", "TEMPERATURE",
"TEND", "TERM", "TERMS", "TERRIBLE", "TEST", "TEXT", "THAN", "THANK", "THANKS", "THAT",
"THE", "THEATRE", "THEIR", "THEM", "THEME", "THEMSELVES", "THEN", "THEORY", "THERE", "THEREFORE",
"THESE", "THEY", "THIN", "THING", "THINK", "THIS", "THOSE", "THOUGH", "THOUGHT", "THREAT",
"THREATEN", "THROUGH", "THROUGHOUT", "THROW", "THUS", "TICKET", "TIME", "TINY", "TITLE", "TO",
"TODAY", "TOGETHER", "TOMORROW", "TONE", "TONIGHT", "TOO", "TOOL", "TOOTH", "TOP", "TOTAL",
"TOTALLY", "TOUCH", "TOUR", "TOWARDS", "TOWN", "TRACK", "TRADE", "TRADITION", "TRADITIONAL", "TRAFFIC",
"TRAIN", "TRAINING", "TRANSFER", "TRANSPORT", "TRAVEL", "TREAT", "TREATMENT", "TREATY", "TREE", "TREND",
"TRIAL", "TRIP", "TROOP", "TROUBLE", "TRUE", "TRUST", "TRUTH", "TRY", "TURN", "TWICE",
"TYPE", "TYPICAL", "UNABLE", "UNDER", "UNDERSTAND", "UNDERSTANDING", "UNDERTAKE", "UNEMPLOYMENT", "UNFORTUNATELY", "UNION",
"UNIT", "UNITED", "UNIVERSITY", "UNLESS", "UNLIKELY", "UNTIL", "UP", "UPON", "UPPER", "URBAN",
"US", "USE", "USED", "USEFUL", "USER", "USUAL", "USUALLY", "VALUE", "VARIATION", "VARIETY",
"VARIOUS", "VARY", "VAST", "VEHICLE", "VERSION", "VERY", "VIA", "VICTIM", "VICTORY", "VIDEO",
"VIEW", "VILLAGE", "VIOLENCE", "VISION", "VISIT", "VISITOR", "VITAL", "VOICE", "VOLUME", "VOTE",
"WAGE", "WAIT", "WALK", "WALL", "WANT", "WAR", "WARM", "WARN", "WASH", "WATCH",
"WATER", "WAVE", "WAY", "WE", "WEAK", "WEAPON", "WEAR", "WEATHER", "WEEK", "WEEKEND",
"WEIGHT", "WELCOME", "WELFARE", "WELL", "WEST", "WESTERN", "WHAT", "WHATEVER", "WHEN", "WHERE",
"WHEREAS", "WHETHER", "WHICH", "WHILE", "WHILST", "WHITE", "WHO", "WHOLE", "WHOM", "WHOSE",
"WHY", "WIDE", "WIDELY", "WIFE", "WILD", "WILL", "WIN", "WIND", "WINDOW", "WINE",
"WING", "WINNER", "WINTER", "WISH", "WITH", "WITHDRAW", "WITHIN", "WITHOUT", "WOMAN", "WONDER",
"WONDERFUL", "WOOD", "WORD", "WORK", "WORKER", "WORKING", "WORKS", "WORLD", "WORRY", "WORTH",
"WOULD", "WRITE", "WRITER", "WRITING", "WRONG", "YARD", "YEAH", "YEAR", "YES", "YESTERDAY",
"YET", "YOU", "YOUNG", "YOUR", "YOURSELF", "YOUTH",
};
public static void main(String[] args) {
SikademyEulerSolution solution = new SikademyEulerSolution();
System.out.println(solution.run());
}
}
Sikademy Solution in Python Programming Language
#
# @author Archangel Macsika
# Copyright (c) Sikademy. All rights reserved.
#
import itertools
def compute():
ans = sum(1
for s in WORDS
if is_triangular_number(sum((ord(c) - ord('A') + 1) for c in s)))
return str(ans)
def is_triangular_number(n):
temp = 0
for i in itertools.count():
temp += i
if n == temp:
return True
elif n < temp:
return False
WORDS = [ # 10 strings per line, except final line
"A", "ABILITY", "ABLE", "ABOUT", "ABOVE", "ABSENCE", "ABSOLUTELY", "ACADEMIC", "ACCEPT", "ACCESS",
"ACCIDENT", "ACCOMPANY", "ACCORDING", "ACCOUNT", "ACHIEVE", "ACHIEVEMENT", "ACID", "ACQUIRE", "ACROSS", "ACT",
"ACTION", "ACTIVE", "ACTIVITY", "ACTUAL", "ACTUALLY", "ADD", "ADDITION", "ADDITIONAL", "ADDRESS", "ADMINISTRATION",
"ADMIT", "ADOPT", "ADULT", "ADVANCE", "ADVANTAGE", "ADVICE", "ADVISE", "AFFAIR", "AFFECT", "AFFORD",
"AFRAID", "AFTER", "AFTERNOON", "AFTERWARDS", "AGAIN", "AGAINST", "AGE", "AGENCY", "AGENT", "AGO",
"AGREE", "AGREEMENT", "AHEAD", "AID", "AIM", "AIR", "AIRCRAFT", "ALL", "ALLOW", "ALMOST",
"ALONE", "ALONG", "ALREADY", "ALRIGHT", "ALSO", "ALTERNATIVE", "ALTHOUGH", "ALWAYS", "AMONG", "AMONGST",
"AMOUNT", "AN", "ANALYSIS", "ANCIENT", "AND", "ANIMAL", "ANNOUNCE", "ANNUAL", "ANOTHER", "ANSWER",
"ANY", "ANYBODY", "ANYONE", "ANYTHING", "ANYWAY", "APART", "APPARENT", "APPARENTLY", "APPEAL", "APPEAR",
"APPEARANCE", "APPLICATION", "APPLY", "APPOINT", "APPOINTMENT", "APPROACH", "APPROPRIATE", "APPROVE", "AREA", "ARGUE",
"ARGUMENT", "ARISE", "ARM", "ARMY", "AROUND", "ARRANGE", "ARRANGEMENT", "ARRIVE", "ART", "ARTICLE",
"ARTIST", "AS", "ASK", "ASPECT", "ASSEMBLY", "ASSESS", "ASSESSMENT", "ASSET", "ASSOCIATE", "ASSOCIATION",
"ASSUME", "ASSUMPTION", "AT", "ATMOSPHERE", "ATTACH", "ATTACK", "ATTEMPT", "ATTEND", "ATTENTION", "ATTITUDE",
"ATTRACT", "ATTRACTIVE", "AUDIENCE", "AUTHOR", "AUTHORITY", "AVAILABLE", "AVERAGE", "AVOID", "AWARD", "AWARE",
"AWAY", "AYE", "BABY", "BACK", "BACKGROUND", "BAD", "BAG", "BALANCE", "BALL", "BAND",
"BANK", "BAR", "BASE", "BASIC", "BASIS", "BATTLE", "BE", "BEAR", "BEAT", "BEAUTIFUL",
"BECAUSE", "BECOME", "BED", "BEDROOM", "BEFORE", "BEGIN", "BEGINNING", "BEHAVIOUR", "BEHIND", "BELIEF",
"BELIEVE", "BELONG", "BELOW", "BENEATH", "BENEFIT", "BESIDE", "BEST", "BETTER", "BETWEEN", "BEYOND",
"BIG", "BILL", "BIND", "BIRD", "BIRTH", "BIT", "BLACK", "BLOCK", "BLOOD", "BLOODY",
"BLOW", "BLUE", "BOARD", "BOAT", "BODY", "BONE", "BOOK", "BORDER", "BOTH", "BOTTLE",
"BOTTOM", "BOX", "BOY", "BRAIN", "BRANCH", "BREAK", "BREATH", "BRIDGE", "BRIEF", "BRIGHT",
"BRING", "BROAD", "BROTHER", "BUDGET", "BUILD", "BUILDING", "BURN", "BUS", "BUSINESS", "BUSY",
"BUT", "BUY", "BY", "CABINET", "CALL", "CAMPAIGN", "CAN", "CANDIDATE", "CAPABLE", "CAPACITY",
"CAPITAL", "CAR", "CARD", "CARE", "CAREER", "CAREFUL", "CAREFULLY", "CARRY", "CASE", "CASH",
"CAT", "CATCH", "CATEGORY", "CAUSE", "CELL", "CENTRAL", "CENTRE", "CENTURY", "CERTAIN", "CERTAINLY",
"CHAIN", "CHAIR", "CHAIRMAN", "CHALLENGE", "CHANCE", "CHANGE", "CHANNEL", "CHAPTER", "CHARACTER", "CHARACTERISTIC",
"CHARGE", "CHEAP", "CHECK", "CHEMICAL", "CHIEF", "CHILD", "CHOICE", "CHOOSE", "CHURCH", "CIRCLE",
"CIRCUMSTANCE", "CITIZEN", "CITY", "CIVIL", "CLAIM", "CLASS", "CLEAN", "CLEAR", "CLEARLY", "CLIENT",
"CLIMB", "CLOSE", "CLOSELY", "CLOTHES", "CLUB", "COAL", "CODE", "COFFEE", "COLD", "COLLEAGUE",
"COLLECT", "COLLECTION", "COLLEGE", "COLOUR", "COMBINATION", "COMBINE", "COME", "COMMENT", "COMMERCIAL", "COMMISSION",
"COMMIT", "COMMITMENT", "COMMITTEE", "COMMON", "COMMUNICATION", "COMMUNITY", "COMPANY", "COMPARE", "COMPARISON", "COMPETITION",
"COMPLETE", "COMPLETELY", "COMPLEX", "COMPONENT", "COMPUTER", "CONCENTRATE", "CONCENTRATION", "CONCEPT", "CONCERN", "CONCERNED",
"CONCLUDE", "CONCLUSION", "CONDITION", "CONDUCT", "CONFERENCE", "CONFIDENCE", "CONFIRM", "CONFLICT", "CONGRESS", "CONNECT",
"CONNECTION", "CONSEQUENCE", "CONSERVATIVE", "CONSIDER", "CONSIDERABLE", "CONSIDERATION", "CONSIST", "CONSTANT", "CONSTRUCTION", "CONSUMER",
"CONTACT", "CONTAIN", "CONTENT", "CONTEXT", "CONTINUE", "CONTRACT", "CONTRAST", "CONTRIBUTE", "CONTRIBUTION", "CONTROL",
"CONVENTION", "CONVERSATION", "COPY", "CORNER", "CORPORATE", "CORRECT", "COS", "COST", "COULD", "COUNCIL",
"COUNT", "COUNTRY", "COUNTY", "COUPLE", "COURSE", "COURT", "COVER", "CREATE", "CREATION", "CREDIT",
"CRIME", "CRIMINAL", "CRISIS", "CRITERION", "CRITICAL", "CRITICISM", "CROSS", "CROWD", "CRY", "CULTURAL",
"CULTURE", "CUP", "CURRENT", "CURRENTLY", "CURRICULUM", "CUSTOMER", "CUT", "DAMAGE", "DANGER", "DANGEROUS",
"DARK", "DATA", "DATE", "DAUGHTER", "DAY", "DEAD", "DEAL", "DEATH", "DEBATE", "DEBT",
"DECADE", "DECIDE", "DECISION", "DECLARE", "DEEP", "DEFENCE", "DEFENDANT", "DEFINE", "DEFINITION", "DEGREE",
"DELIVER", "DEMAND", "DEMOCRATIC", "DEMONSTRATE", "DENY", "DEPARTMENT", "DEPEND", "DEPUTY", "DERIVE", "DESCRIBE",
"DESCRIPTION", "DESIGN", "DESIRE", "DESK", "DESPITE", "DESTROY", "DETAIL", "DETAILED", "DETERMINE", "DEVELOP",
"DEVELOPMENT", "DEVICE", "DIE", "DIFFERENCE", "DIFFERENT", "DIFFICULT", "DIFFICULTY", "DINNER", "DIRECT", "DIRECTION",
"DIRECTLY", "DIRECTOR", "DISAPPEAR", "DISCIPLINE", "DISCOVER", "DISCUSS", "DISCUSSION", "DISEASE", "DISPLAY", "DISTANCE",
"DISTINCTION", "DISTRIBUTION", "DISTRICT", "DIVIDE", "DIVISION", "DO", "DOCTOR", "DOCUMENT", "DOG", "DOMESTIC",
"DOOR", "DOUBLE", "DOUBT", "DOWN", "DRAW", "DRAWING", "DREAM", "DRESS", "DRINK", "DRIVE",
"DRIVER", "DROP", "DRUG", "DRY", "DUE", "DURING", "DUTY", "EACH", "EAR", "EARLY",
"EARN", "EARTH", "EASILY", "EAST", "EASY", "EAT", "ECONOMIC", "ECONOMY", "EDGE", "EDITOR",
"EDUCATION", "EDUCATIONAL", "EFFECT", "EFFECTIVE", "EFFECTIVELY", "EFFORT", "EGG", "EITHER", "ELDERLY", "ELECTION",
"ELEMENT", "ELSE", "ELSEWHERE", "EMERGE", "EMPHASIS", "EMPLOY", "EMPLOYEE", "EMPLOYER", "EMPLOYMENT", "EMPTY",
"ENABLE", "ENCOURAGE", "END", "ENEMY", "ENERGY", "ENGINE", "ENGINEERING", "ENJOY", "ENOUGH", "ENSURE",
"ENTER", "ENTERPRISE", "ENTIRE", "ENTIRELY", "ENTITLE", "ENTRY", "ENVIRONMENT", "ENVIRONMENTAL", "EQUAL", "EQUALLY",
"EQUIPMENT", "ERROR", "ESCAPE", "ESPECIALLY", "ESSENTIAL", "ESTABLISH", "ESTABLISHMENT", "ESTATE", "ESTIMATE", "EVEN",
"EVENING", "EVENT", "EVENTUALLY", "EVER", "EVERY", "EVERYBODY", "EVERYONE", "EVERYTHING", "EVIDENCE", "EXACTLY",
"EXAMINATION", "EXAMINE", "EXAMPLE", "EXCELLENT", "EXCEPT", "EXCHANGE", "EXECUTIVE", "EXERCISE", "EXHIBITION", "EXIST",
"EXISTENCE", "EXISTING", "EXPECT", "EXPECTATION", "EXPENDITURE", "EXPENSE", "EXPENSIVE", "EXPERIENCE", "EXPERIMENT", "EXPERT",
"EXPLAIN", "EXPLANATION", "EXPLORE", "EXPRESS", "EXPRESSION", "EXTEND", "EXTENT", "EXTERNAL", "EXTRA", "EXTREMELY",
"EYE", "FACE", "FACILITY", "FACT", "FACTOR", "FACTORY", "FAIL", "FAILURE", "FAIR", "FAIRLY",
"FAITH", "FALL", "FAMILIAR", "FAMILY", "FAMOUS", "FAR", "FARM", "FARMER", "FASHION", "FAST",
"FATHER", "FAVOUR", "FEAR", "FEATURE", "FEE", "FEEL", "FEELING", "FEMALE", "FEW", "FIELD",
"FIGHT", "FIGURE", "FILE", "FILL", "FILM", "FINAL", "FINALLY", "FINANCE", "FINANCIAL", "FIND",
"FINDING", "FINE", "FINGER", "FINISH", "FIRE", "FIRM", "FIRST", "FISH", "FIT", "FIX",
"FLAT", "FLIGHT", "FLOOR", "FLOW", "FLOWER", "FLY", "FOCUS", "FOLLOW", "FOLLOWING", "FOOD",
"FOOT", "FOOTBALL", "FOR", "FORCE", "FOREIGN", "FOREST", "FORGET", "FORM", "FORMAL", "FORMER",
"FORWARD", "FOUNDATION", "FREE", "FREEDOM", "FREQUENTLY", "FRESH", "FRIEND", "FROM", "FRONT", "FRUIT",
"FUEL", "FULL", "FULLY", "FUNCTION", "FUND", "FUNNY", "FURTHER", "FUTURE", "GAIN", "GAME",
"GARDEN", "GAS", "GATE", "GATHER", "GENERAL", "GENERALLY", "GENERATE", "GENERATION", "GENTLEMAN", "GET",
"GIRL", "GIVE", "GLASS", "GO", "GOAL", "GOD", "GOLD", "GOOD", "GOVERNMENT", "GRANT",
"GREAT", "GREEN", "GREY", "GROUND", "GROUP", "GROW", "GROWING", "GROWTH", "GUEST", "GUIDE",
"GUN", "HAIR", "HALF", "HALL", "HAND", "HANDLE", "HANG", "HAPPEN", "HAPPY", "HARD",
"HARDLY", "HATE", "HAVE", "HE", "HEAD", "HEALTH", "HEAR", "HEART", "HEAT", "HEAVY",
"HELL", "HELP", "HENCE", "HER", "HERE", "HERSELF", "HIDE", "HIGH", "HIGHLY", "HILL",
"HIM", "HIMSELF", "HIS", "HISTORICAL", "HISTORY", "HIT", "HOLD", "HOLE", "HOLIDAY", "HOME",
"HOPE", "HORSE", "HOSPITAL", "HOT", "HOTEL", "HOUR", "HOUSE", "HOUSEHOLD", "HOUSING", "HOW",
"HOWEVER", "HUGE", "HUMAN", "HURT", "HUSBAND", "I", "IDEA", "IDENTIFY", "IF", "IGNORE",
"ILLUSTRATE", "IMAGE", "IMAGINE", "IMMEDIATE", "IMMEDIATELY", "IMPACT", "IMPLICATION", "IMPLY", "IMPORTANCE", "IMPORTANT",
"IMPOSE", "IMPOSSIBLE", "IMPRESSION", "IMPROVE", "IMPROVEMENT", "IN", "INCIDENT", "INCLUDE", "INCLUDING", "INCOME",
"INCREASE", "INCREASED", "INCREASINGLY", "INDEED", "INDEPENDENT", "INDEX", "INDICATE", "INDIVIDUAL", "INDUSTRIAL", "INDUSTRY",
"INFLUENCE", "INFORM", "INFORMATION", "INITIAL", "INITIATIVE", "INJURY", "INSIDE", "INSIST", "INSTANCE", "INSTEAD",
"INSTITUTE", "INSTITUTION", "INSTRUCTION", "INSTRUMENT", "INSURANCE", "INTEND", "INTENTION", "INTEREST", "INTERESTED", "INTERESTING",
"INTERNAL", "INTERNATIONAL", "INTERPRETATION", "INTERVIEW", "INTO", "INTRODUCE", "INTRODUCTION", "INVESTIGATE", "INVESTIGATION", "INVESTMENT",
"INVITE", "INVOLVE", "IRON", "IS", "ISLAND", "ISSUE", "IT", "ITEM", "ITS", "ITSELF",
"JOB", "JOIN", "JOINT", "JOURNEY", "JUDGE", "JUMP", "JUST", "JUSTICE", "KEEP", "KEY",
"KID", "KILL", "KIND", "KING", "KITCHEN", "KNEE", "KNOW", "KNOWLEDGE", "LABOUR", "LACK",
"LADY", "LAND", "LANGUAGE", "LARGE", "LARGELY", "LAST", "LATE", "LATER", "LATTER", "LAUGH",
"LAUNCH", "LAW", "LAWYER", "LAY", "LEAD", "LEADER", "LEADERSHIP", "LEADING", "LEAF", "LEAGUE",
"LEAN", "LEARN", "LEAST", "LEAVE", "LEFT", "LEG", "LEGAL", "LEGISLATION", "LENGTH", "LESS",
"LET", "LETTER", "LEVEL", "LIABILITY", "LIBERAL", "LIBRARY", "LIE", "LIFE", "LIFT", "LIGHT",
"LIKE", "LIKELY", "LIMIT", "LIMITED", "LINE", "LINK", "LIP", "LIST", "LISTEN", "LITERATURE",
"LITTLE", "LIVE", "LIVING", "LOAN", "LOCAL", "LOCATION", "LONG", "LOOK", "LORD", "LOSE",
"LOSS", "LOT", "LOVE", "LOVELY", "LOW", "LUNCH", "MACHINE", "MAGAZINE", "MAIN", "MAINLY",
"MAINTAIN", "MAJOR", "MAJORITY", "MAKE", "MALE", "MAN", "MANAGE", "MANAGEMENT", "MANAGER", "MANNER",
"MANY", "MAP", "MARK", "MARKET", "MARRIAGE", "MARRIED", "MARRY", "MASS", "MASTER", "MATCH",
"MATERIAL", "MATTER", "MAY", "MAYBE", "ME", "MEAL", "MEAN", "MEANING", "MEANS", "MEANWHILE",
"MEASURE", "MECHANISM", "MEDIA", "MEDICAL", "MEET", "MEETING", "MEMBER", "MEMBERSHIP", "MEMORY", "MENTAL",
"MENTION", "MERELY", "MESSAGE", "METAL", "METHOD", "MIDDLE", "MIGHT", "MILE", "MILITARY", "MILK",
"MIND", "MINE", "MINISTER", "MINISTRY", "MINUTE", "MISS", "MISTAKE", "MODEL", "MODERN", "MODULE",
"MOMENT", "MONEY", "MONTH", "MORE", "MORNING", "MOST", "MOTHER", "MOTION", "MOTOR", "MOUNTAIN",
"MOUTH", "MOVE", "MOVEMENT", "MUCH", "MURDER", "MUSEUM", "MUSIC", "MUST", "MY", "MYSELF",
"NAME", "NARROW", "NATION", "NATIONAL", "NATURAL", "NATURE", "NEAR", "NEARLY", "NECESSARILY", "NECESSARY",
"NECK", "NEED", "NEGOTIATION", "NEIGHBOUR", "NEITHER", "NETWORK", "NEVER", "NEVERTHELESS", "NEW", "NEWS",
"NEWSPAPER", "NEXT", "NICE", "NIGHT", "NO", "NOBODY", "NOD", "NOISE", "NONE", "NOR",
"NORMAL", "NORMALLY", "NORTH", "NORTHERN", "NOSE", "NOT", "NOTE", "NOTHING", "NOTICE", "NOTION",
"NOW", "NUCLEAR", "NUMBER", "NURSE", "OBJECT", "OBJECTIVE", "OBSERVATION", "OBSERVE", "OBTAIN", "OBVIOUS",
"OBVIOUSLY", "OCCASION", "OCCUR", "ODD", "OF", "OFF", "OFFENCE", "OFFER", "OFFICE", "OFFICER",
"OFFICIAL", "OFTEN", "OIL", "OKAY", "OLD", "ON", "ONCE", "ONE", "ONLY", "ONTO",
"OPEN", "OPERATE", "OPERATION", "OPINION", "OPPORTUNITY", "OPPOSITION", "OPTION", "OR", "ORDER", "ORDINARY",
"ORGANISATION", "ORGANISE", "ORGANIZATION", "ORIGIN", "ORIGINAL", "OTHER", "OTHERWISE", "OUGHT", "OUR", "OURSELVES",
"OUT", "OUTCOME", "OUTPUT", "OUTSIDE", "OVER", "OVERALL", "OWN", "OWNER", "PACKAGE", "PAGE",
"PAIN", "PAINT", "PAINTING", "PAIR", "PANEL", "PAPER", "PARENT", "PARK", "PARLIAMENT", "PART",
"PARTICULAR", "PARTICULARLY", "PARTLY", "PARTNER", "PARTY", "PASS", "PASSAGE", "PAST", "PATH", "PATIENT",
"PATTERN", "PAY", "PAYMENT", "PEACE", "PENSION", "PEOPLE", "PER", "PERCENT", "PERFECT", "PERFORM",
"PERFORMANCE", "PERHAPS", "PERIOD", "PERMANENT", "PERSON", "PERSONAL", "PERSUADE", "PHASE", "PHONE", "PHOTOGRAPH",
"PHYSICAL", "PICK", "PICTURE", "PIECE", "PLACE", "PLAN", "PLANNING", "PLANT", "PLASTIC", "PLATE",
"PLAY", "PLAYER", "PLEASE", "PLEASURE", "PLENTY", "PLUS", "POCKET", "POINT", "POLICE", "POLICY",
"POLITICAL", "POLITICS", "POOL", "POOR", "POPULAR", "POPULATION", "POSITION", "POSITIVE", "POSSIBILITY", "POSSIBLE",
"POSSIBLY", "POST", "POTENTIAL", "POUND", "POWER", "POWERFUL", "PRACTICAL", "PRACTICE", "PREFER", "PREPARE",
"PRESENCE", "PRESENT", "PRESIDENT", "PRESS", "PRESSURE", "PRETTY", "PREVENT", "PREVIOUS", "PREVIOUSLY", "PRICE",
"PRIMARY", "PRIME", "PRINCIPLE", "PRIORITY", "PRISON", "PRISONER", "PRIVATE", "PROBABLY", "PROBLEM", "PROCEDURE",
"PROCESS", "PRODUCE", "PRODUCT", "PRODUCTION", "PROFESSIONAL", "PROFIT", "PROGRAM", "PROGRAMME", "PROGRESS", "PROJECT",
"PROMISE", "PROMOTE", "PROPER", "PROPERLY", "PROPERTY", "PROPORTION", "PROPOSE", "PROPOSAL", "PROSPECT", "PROTECT",
"PROTECTION", "PROVE", "PROVIDE", "PROVIDED", "PROVISION", "PUB", "PUBLIC", "PUBLICATION", "PUBLISH", "PULL",
"PUPIL", "PURPOSE", "PUSH", "PUT", "QUALITY", "QUARTER", "QUESTION", "QUICK", "QUICKLY", "QUIET",
"QUITE", "RACE", "RADIO", "RAILWAY", "RAIN", "RAISE", "RANGE", "RAPIDLY", "RARE", "RATE",
"RATHER", "REACH", "REACTION", "READ", "READER", "READING", "READY", "REAL", "REALISE", "REALITY",
"REALIZE", "REALLY", "REASON", "REASONABLE", "RECALL", "RECEIVE", "RECENT", "RECENTLY", "RECOGNISE", "RECOGNITION",
"RECOGNIZE", "RECOMMEND", "RECORD", "RECOVER", "RED", "REDUCE", "REDUCTION", "REFER", "REFERENCE", "REFLECT",
"REFORM", "REFUSE", "REGARD", "REGION", "REGIONAL", "REGULAR", "REGULATION", "REJECT", "RELATE", "RELATION",
"RELATIONSHIP", "RELATIVE", "RELATIVELY", "RELEASE", "RELEVANT", "RELIEF", "RELIGION", "RELIGIOUS", "RELY", "REMAIN",
"REMEMBER", "REMIND", "REMOVE", "REPEAT", "REPLACE", "REPLY", "REPORT", "REPRESENT", "REPRESENTATION", "REPRESENTATIVE",
"REQUEST", "REQUIRE", "REQUIREMENT", "RESEARCH", "RESOURCE", "RESPECT", "RESPOND", "RESPONSE", "RESPONSIBILITY", "RESPONSIBLE",
"REST", "RESTAURANT", "RESULT", "RETAIN", "RETURN", "REVEAL", "REVENUE", "REVIEW", "REVOLUTION", "RICH",
"RIDE", "RIGHT", "RING", "RISE", "RISK", "RIVER", "ROAD", "ROCK", "ROLE", "ROLL",
"ROOF", "ROOM", "ROUND", "ROUTE", "ROW", "ROYAL", "RULE", "RUN", "RURAL", "SAFE",
"SAFETY", "SALE", "SAME", "SAMPLE", "SATISFY", "SAVE", "SAY", "SCALE", "SCENE", "SCHEME",
"SCHOOL", "SCIENCE", "SCIENTIFIC", "SCIENTIST", "SCORE", "SCREEN", "SEA", "SEARCH", "SEASON", "SEAT",
"SECOND", "SECONDARY", "SECRETARY", "SECTION", "SECTOR", "SECURE", "SECURITY", "SEE", "SEEK", "SEEM",
"SELECT", "SELECTION", "SELL", "SEND", "SENIOR", "SENSE", "SENTENCE", "SEPARATE", "SEQUENCE", "SERIES",
"SERIOUS", "SERIOUSLY", "SERVANT", "SERVE", "SERVICE", "SESSION", "SET", "SETTLE", "SETTLEMENT", "SEVERAL",
"SEVERE", "SEX", "SEXUAL", "SHAKE", "SHALL", "SHAPE", "SHARE", "SHE", "SHEET", "SHIP",
"SHOE", "SHOOT", "SHOP", "SHORT", "SHOT", "SHOULD", "SHOULDER", "SHOUT", "SHOW", "SHUT",
"SIDE", "SIGHT", "SIGN", "SIGNAL", "SIGNIFICANCE", "SIGNIFICANT", "SILENCE", "SIMILAR", "SIMPLE", "SIMPLY",
"SINCE", "SING", "SINGLE", "SIR", "SISTER", "SIT", "SITE", "SITUATION", "SIZE", "SKILL",
"SKIN", "SKY", "SLEEP", "SLIGHTLY", "SLIP", "SLOW", "SLOWLY", "SMALL", "SMILE", "SO",
"SOCIAL", "SOCIETY", "SOFT", "SOFTWARE", "SOIL", "SOLDIER", "SOLICITOR", "SOLUTION", "SOME", "SOMEBODY",
"SOMEONE", "SOMETHING", "SOMETIMES", "SOMEWHAT", "SOMEWHERE", "SON", "SONG", "SOON", "SORRY", "SORT",
"SOUND", "SOURCE", "SOUTH", "SOUTHERN", "SPACE", "SPEAK", "SPEAKER", "SPECIAL", "SPECIES", "SPECIFIC",
"SPEECH", "SPEED", "SPEND", "SPIRIT", "SPORT", "SPOT", "SPREAD", "SPRING", "STAFF", "STAGE",
"STAND", "STANDARD", "STAR", "START", "STATE", "STATEMENT", "STATION", "STATUS", "STAY", "STEAL",
"STEP", "STICK", "STILL", "STOCK", "STONE", "STOP", "STORE", "STORY", "STRAIGHT", "STRANGE",
"STRATEGY", "STREET", "STRENGTH", "STRIKE", "STRONG", "STRONGLY", "STRUCTURE", "STUDENT", "STUDIO", "STUDY",
"STUFF", "STYLE", "SUBJECT", "SUBSTANTIAL", "SUCCEED", "SUCCESS", "SUCCESSFUL", "SUCH", "SUDDENLY", "SUFFER",
"SUFFICIENT", "SUGGEST", "SUGGESTION", "SUITABLE", "SUM", "SUMMER", "SUN", "SUPPLY", "SUPPORT", "SUPPOSE",
"SURE", "SURELY", "SURFACE", "SURPRISE", "SURROUND", "SURVEY", "SURVIVE", "SWITCH", "SYSTEM", "TABLE",
"TAKE", "TALK", "TALL", "TAPE", "TARGET", "TASK", "TAX", "TEA", "TEACH", "TEACHER",
"TEACHING", "TEAM", "TEAR", "TECHNICAL", "TECHNIQUE", "TECHNOLOGY", "TELEPHONE", "TELEVISION", "TELL", "TEMPERATURE",
"TEND", "TERM", "TERMS", "TERRIBLE", "TEST", "TEXT", "THAN", "THANK", "THANKS", "THAT",
"THE", "THEATRE", "THEIR", "THEM", "THEME", "THEMSELVES", "THEN", "THEORY", "THERE", "THEREFORE",
"THESE", "THEY", "THIN", "THING", "THINK", "THIS", "THOSE", "THOUGH", "THOUGHT", "THREAT",
"THREATEN", "THROUGH", "THROUGHOUT", "THROW", "THUS", "TICKET", "TIME", "TINY", "TITLE", "TO",
"TODAY", "TOGETHER", "TOMORROW", "TONE", "TONIGHT", "TOO", "TOOL", "TOOTH", "TOP", "TOTAL",
"TOTALLY", "TOUCH", "TOUR", "TOWARDS", "TOWN", "TRACK", "TRADE", "TRADITION", "TRADITIONAL", "TRAFFIC",
"TRAIN", "TRAINING", "TRANSFER", "TRANSPORT", "TRAVEL", "TREAT", "TREATMENT", "TREATY", "TREE", "TREND",
"TRIAL", "TRIP", "TROOP", "TROUBLE", "TRUE", "TRUST", "TRUTH", "TRY", "TURN", "TWICE",
"TYPE", "TYPICAL", "UNABLE", "UNDER", "UNDERSTAND", "UNDERSTANDING", "UNDERTAKE", "UNEMPLOYMENT", "UNFORTUNATELY", "UNION",
"UNIT", "UNITED", "UNIVERSITY", "UNLESS", "UNLIKELY", "UNTIL", "UP", "UPON", "UPPER", "URBAN",
"US", "USE", "USED", "USEFUL", "USER", "USUAL", "USUALLY", "VALUE", "VARIATION", "VARIETY",
"VARIOUS", "VARY", "VAST", "VEHICLE", "VERSION", "VERY", "VIA", "VICTIM", "VICTORY", "VIDEO",
"VIEW", "VILLAGE", "VIOLENCE", "VISION", "VISIT", "VISITOR", "VITAL", "VOICE", "VOLUME", "VOTE",
"WAGE", "WAIT", "WALK", "WALL", "WANT", "WAR", "WARM", "WARN", "WASH", "WATCH",
"WATER", "WAVE", "WAY", "WE", "WEAK", "WEAPON", "WEAR", "WEATHER", "WEEK", "WEEKEND",
"WEIGHT", "WELCOME", "WELFARE", "WELL", "WEST", "WESTERN", "WHAT", "WHATEVER", "WHEN", "WHERE",
"WHEREAS", "WHETHER", "WHICH", "WHILE", "WHILST", "WHITE", "WHO", "WHOLE", "WHOM", "WHOSE",
"WHY", "WIDE", "WIDELY", "WIFE", "WILD", "WILL", "WIN", "WIND", "WINDOW", "WINE",
"WING", "WINNER", "WINTER", "WISH", "WITH", "WITHDRAW", "WITHIN", "WITHOUT", "WOMAN", "WONDER",
"WONDERFUL", "WOOD", "WORD", "WORK", "WORKER", "WORKING", "WORKS", "WORLD", "WORRY", "WORTH",
"WOULD", "WRITE", "WRITER", "WRITING", "WRONG", "YARD", "YEAH", "YEAR", "YES", "YESTERDAY",
"YET", "YOU", "YOUNG", "YOUR", "YOURSELF", "YOUTH",
]
if __name__ == "__main__":
print(compute())