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Adding Reversed NumbersTime Limit: 2 Seconds      Memory Limit: 65536 KBThe Antique Comedians of Malidinesia prefer comedies to tragedies. Unfortunately, most of the ancient plays are tragedie

Magnificent MeatballsTime Limit: 2 Seconds      Memory Limit: 65536 KBSam and Ella run a catering service. They like to put on a show when serving meatballs to guests seated at round tables. T

Polar ExplorerTime Limit: 2 Seconds      Memory Limit: 65536 KBIntroductionYou are a intrepid 2-dimensional explorer located at the northern polar reaches of a distant 2-dimensional planet

Binary NumbersTime Limit: 2 Seconds      Memory Limit: 65536 KBGiven a positive integer n, print out the positions of all 1's in its binary representation. The position of the least significan

A Simple TaskTime Limit: 2 Seconds      Memory Limit: 65536 KBGiven a positive integer n and the odd integer o and the nonnegative integer p such that n = o2^p.ExampleFor n = 24, o = 3

Mileage BankTime Limit: 2 Seconds      Memory Limit: 65536 KBMileage program of ACM (Airline of Charming Merlion) is really nice for the travelers flying frequently. Once you complete a flight

Fake TicketsTime Limit: 2 Seconds      Memory Limit: 65536 KBYour school organized a big party to celebrate your team brilliant win in the prestigious, worldfamous ICPC (International Collegia

Number StepsTime Limit: 2 Seconds      Memory Limit: 65536 KBStarting from point (0,0) on a plane, we have written all non-negative integers 0, 1, 2,... as shown in the figure. For example, 1,

Tanning SalonTime Limit: 2 Seconds      Memory Limit: 65536 KBTan Your Hide, Inc., owns several coin-operated tanning salons. Research has shown that if a customer arrives and there are no bed

Basically SpeakingTime Limit: 2 Seconds      Memory Limit: 65536 KBThe Really Neato Calculator Company, Inc. has recently hired your team to help design their Super Neato Model I calculator. A

Perfect CubesTime Limit: 10 Seconds      Memory Limit: 32768 KBFor hundreds of years Fermat's Last Theorem, which stated simply that for n > 2 there exist no integers a, b, c > 1 such that a^n

Box of BricksTime Limit: 2 Seconds      Memory Limit: 65536 KBLittle Bob likes playing with his box of bricks. He puts the bricks one upon another and builds stacks of different height. ``Look

u Calculate eTime Limit: 2 Seconds      Memory Limit: 65536 KBBackgroundA simple mathematical formula for e iswhere n is allowed to go to infinity. This can actually yield very acc

Dick and JaneTime Limit: 2 Seconds      Memory Limit: 65536 KBDick is 12 years old. When we say this, we mean that it is at least twelve and not yet thirteen years since Dick was born.Dick a

SwitchTime Limit: 2 Seconds      Memory Limit: 65536 KBThere are N lights in a line. Given the states (on/off) of the lights, your task is to determine at least how many lights should be switc

DoublesTime Limit: 2 Seconds      Memory Limit: 65536 KBAs part of an arithmetic competency program, your students will be given randomly generated lists of from 2 to 15 unique positive intege

Crazy Tea PartyTime Limit: 2 Seconds      Memory Limit: 65536 KBn participants of "crazy tea party" sit around the table. Each minute one pair of neighbors can change their places. Find the mi

When Can We Meet?Time Limit: 2 Seconds      Memory Limit: 65536 KBThe ICPC committee would like to have its meeting as soon as possible to address every little issue of the next contest. Howev

Skew BinaryTime Limit: 2 Seconds      Memory Limit: 65536 KBWhen a number is expressed in decimal, the kth digit represents a multiple of 10 k. (Digits are numbered from right to left, where t

Speed LimitTime Limit: 2 Seconds      Memory Limit: 65536 KBBill and Ted are taking a road trip. But the odometer in their car is broken, so they don't know how many miles they have driven. Fo

Keep on Truckin'Time Limit: 2 Seconds      Memory Limit: 65536 KBBoudreaux and Thibodeaux are on the road again . . ."Boudreaux, we have to get this shipment of mudbugs to Baton Rouge by ton

Symmetric OrderTime Limit: 2 Seconds      Memory Limit: 65536 KBIn your job at Albatross Circus Management (yes, it's run by a bunch of clowns), you have just finished writing a program whose

ElevatorTime Limit: 2 Seconds      Memory Limit: 65536 KBThe highest building in our city has only one elevator. A request list is made up with N positive numbers. The numbers denote at which

Let the Balloon RiseTime Limit: 2 Seconds      Memory Limit: 65536 KBContest time again! How excited it is to see balloons floating around. But to tell you a secret, the judges' favorite time

Frame Polygonal LineTime Limit: 2 Seconds      Memory Limit: 65536 KBYou are going to read a sequence of pairs of integer numbers. Each pair represents the Cartesian coordinates of a point in

FactorialTime Limit: 2 Seconds      Memory Limit: 65536 KBThe most important part of a GSM network is so called Base Transceiver Station (BTS). These transceivers form the areas called cells (

Clay BullyTime Limit: 2 Seconds      Memory Limit: 65536 KBMs. Terry is a pre-school art teacher who likes to have her students work with clay. One of her assignments is to form a lump of clay

Haiku ReviewTime Limit: 2 Seconds      Memory Limit: 65536 KBHaiku is an ancient form of Japanese poetry. A haiku is a three-line poem with seventeen syllables, where the first line must conta

Climbing WormTime Limit: 2 Seconds      Memory Limit: 65536 KBAn inch worm is at the bottom of a well n inches deep. It has enough energy to climb u inches every minute, but then has to rest a

Up and Down SequencesTime Limit: 2 Seconds      Memory Limit: 65536 KBThe quality of pseudo random-number generators used in some computations, especially simulation, is a significant issue. P

PiTime Limit: 2 Seconds      Memory Limit: 65536 KBProfessor Robert A. J. Matthews of the Applied Mathematics and Computer Science Department at the University of Aston in Birmingham, England

Digital RootsTime Limit: 2 Seconds      Memory Limit: 65536 KBBackgroundThe digital root of a positive integer is found by summing the digits of the integer. If the resulting value is a si

A + B ProblemTime Limit: 2 Seconds      Memory Limit: 65536 KBCalculate a + bInputThe input will consist of a series of pairs of integers a and b,separated by a space, one pair of inte

I Think I Need a HouseboatTime Limit: 2 Seconds      Memory Limit: 65536 KBFred Mapper is considering purchasing some land in Louisiana to build his house on. In the process of investigating

Financial ManagementTime Limit: 2 Seconds      Memory Limit: 65536 KBLarry graduated this year and finally has a job. He's making a lot of money, but somehow never seems to have enough. Larr

OnesTime Limit: 2 Seconds      Memory Limit: 65536 KBGiven any integer 0 <= n <= 10000 not divisible by 2 or 5, some multiple of n is a number which in decimal notation is a sequence of 1's. H

StepsTime Limit: 2 Seconds      Memory Limit: 65536 KBOne steps through integer points of the straight line. The length of a step must be nonnegative and can be by one bigger than, equal to, o

Least Common MultipleTime Limit: 2 Seconds      Memory Limit: 65536 KBThe least common multiple (LCM) of a set of positive integers is the smallest positive integer which is divisible by all t

Jolly JumpersTime Limit: 2 Seconds      Memory Limit: 65536 KBA sequence of n > 0 integers is called a jolly jumper if the absolute values of the difference between successive elements take on

Biker's Trip OdometerTime Limit: 2 Seconds      Memory Limit: 65536 KBMost bicycle speedometers work by using a Hall Effect sensor fastened to the front fork of the bicycle. A magnet is attach