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Triangular SumsTime Limit: 2 Seconds      Memory Limit: 65536 KB The nth Triangular number, T(n) = 1 + ... + n, is the sum of the first n integers. It is the number of points in a triangul

Root of the ProblemTime Limit: 2 Seconds      Memory Limit: 65536 KB Given positive integers B and N, find an integer A such that AN is as close as possible to B. (The result A is an approxi

GCD & LCMTime Limit: 2 Seconds      Memory Limit: 65536 KB Given x and y (2 <= x <= 100,000, 2 <= y <= 1,000,000), you are to count the number of p and q such that:1) p and q are posit

Binomial ShowdownTime Limit: 2 Seconds      Memory Limit: 65536 KB In how many ways can you choose k elements out of n elements, not taking order into account?Write a program to comput

Big NumberTime Limit: 10 Seconds      Memory Limit: 32768 KB In many applications very large integers numbers are required. Some of these applications are using keys for secure transmissio

Very Hard ProblemTime Limit: 2 Seconds      Memory Limit: 65536 KB      Special Judge It was in the ancient world. ZOJ, the greatest treasure hunter in the world has been lost in the fores

StepsTime Limit: 2 Seconds      Memory Limit: 65536 KB One 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

Sum of FactorialsTime Limit: 2 Seconds      Memory Limit: 65536 KB John von Neumann, b. Dec. 28, 1903, d. Feb. 8, 1957, was a Hungarian-American mathematician who made important contributi

Old BillTime Limit: 2 Seconds      Memory Limit: 65536 KB Among grandfather��s papers a bill was found:72 turkeys $_679_The first and the last digits of the number that obviously repre

Circular AreaTime Limit: 2 Seconds      Memory Limit: 65536 KB Your task is to write a program, which, given two circles, calculates the area of their intersection with the accuracy of thr

Magic SquareTime Limit: 2 Seconds      Memory Limit: 65536 KB In recreational mathematics, a magic square of n-degree is an arrangement of n2 numbers, distinct integers, in a square, such th

A Mathematical CuriosityTime Limit: 2 Seconds      Memory Limit: 65536 KB Given two integers n and m, count the number of pairs of integers (a,b) such that 0 This problem contains mult

Unique Ascending ArrayTime Limit: 2 Seconds      Memory Limit: 65536 KB Given an array of integers A[N], you are asked to decide the shortest array of integers B[M], such that the followin

Specialized Four-Digit NumbersTime Limit: 2 Seconds      Memory Limit: 65536 KB Find and list all four-digit numbers in decimal notation that have the property that the sum of its four dig

Number of ContainersTime Limit: 1 Second      Memory Limit: 32768 KB For two integers m and k, k is said to be a container ofm if k is divisible by m. Given 2 positive integers n and m

Digital ClockTime Limit: 1 Second      Memory Limit: 32768 KB Digital clocks usually show the time in the form hh:mm:ss, where hh is a number between 00 and 23, and both mm and ss are nu

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

Sum UpTime Limit: 2 Seconds      Memory Limit: 65536 KB Vivid has stored a piece of private information, which consisted of a serial of integers in a secret number format. All the stored n

Form a SquareTime Limit: 2 Seconds      Memory Limit: 65536 KB Have you ever put up a tent on top of a mountain? The difficulty lies in finding the appropriate positions to fix the nails on

The Gate to FreedomTime Limit: 2 Seconds      Memory Limit: 32768 KB BackgroundIt is dark at night.It is silence at night.It is she in the dark.It is she in the silence. Then a lig

Number SequenceTime Limit: 2 Seconds      Memory Limit: 65536 KB A number sequence is defined as follows:f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) mod 7.Given A, B, an

Semi-PrimeTime Limit: 2 Seconds      Memory Limit: 65536 KB Prime Number Definition An integer greater than one is called a prime number if its only positive divisors (factors) are one and

Find All M^N PleaseTime Limit: 2 Seconds      Memory Limit: 65536 KB Recently, Joey has special interest in the positive numbers that could be represented asM ^ N (M to the power N), whe

Area RatioTime Limit: 2 Seconds      Memory Limit: 65536 KB To make things easier, WishingBone decides to put this simple geometry problem at the beginning. Given a triangle, what is the r

Fibonacci AgainTime Limit: 2 Seconds      Memory Limit: 65536 KB There are another kind of Fibonacci numbers: F(0) = 7, F(1) = 11, F(n) = F(n-1) + F(n-2) (n>=2)InputInput consists of

Friend Number IITime Limit: 1 Second      Memory Limit: 32768 KB Given a positive integer x, let S(x) denotes the sum of all x's digits. Two integersx and y are friend numbers if S(x)=S(

Goldbach's ConjectureTime Limit: 2 Seconds      Memory Limit: 65536 KB In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in which he made the follo

Binary NumberTime Limit: 2 Seconds      Memory Limit: 65536 KB For 2 non-negative integers x and y, f(x, y) is defined as the number of different bits in the binary format ofx and y. For

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

Beautiful NumberTime Limit: 2 Seconds      Memory Limit: 65536 KB Mike is very lucky, as he has two beautiful numbers, 3 and 5. But he is so greedy that he wants infinite beautiful numbers.

Recaman's SequenceTime Limit: 2 Seconds      Memory Limit: 65536 KB The Recaman's sequence is defined by a0 = 0 ; for m > 0, am = am-1 - m if the rsulting am is positive and not already in