Parencodings Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 19716   Accepted: 11910 Description Let S = s1 s2...s2n be a well-formed string of parentheses. S can be encoded in two different ways: q By an integer sequence P = p1 p2...pn…

127. Telephone directory time limit per test: 0.25 sec. memory limit per test: 4096 KB CIA has decided to create a special telephone directory for its agents. The first 2 pages of the directory contain the name of the directory and instructions for a…

126. Boxes time limit per test: 0.25 sec. memory limit per test: 4096 KB There are two boxes. There are A balls in the first box, and B balls in the second box (0 < A + B < 2147483648). It is possible to move balls from one box to another. From one…

123. The sum time limit per test: 0.25 sec. memory limit per test: 4096 KB The Fibonacci sequence of numbers is known: F1 = 1; F2 = 1; Fn+1 = Fn + Fn-1, for n>1. You have to find S - the sum of the first K Fibonacci numbers. Input First line contains…

120. Archipelago time limit per test: 0.25 sec. memory limit per test: 4096 KB Archipelago Ber-Islands consists of N islands that are vertices of equiangular and equilateral N-gon. Islands are clockwise numerated. Coordinates of island N1 are (x1, y1…

119. Magic Pairs time limit per test: 0.5 sec. memory limit per test: 4096 KB “Prove that for any integer X and Y if 5X+4Y is divided by 23 than 3X+7Y is divided by 23 too.” The task is from city Olympiad in mathematics in Saratov, Russia for schoolc…

118. Digital Root time limit per test: 0.25 sec. memory limit per test: 4096 KB Let f(n) be a sum of digits for positive integer n. If f(n) is one-digit number then it is a digital root for n and otherwise digital root of n is equal to digital root o…

117. Counting time limit per test: 0.25 sec. memory limit per test: 4096 KB Find amount of numbers for given sequence of integer numbers such that after raising them to the M-th power they will be divided by K. Input Input consists of two lines. Ther…

116. Index of super-prime time limit per test: 0.25 sec. memory limit per test: 4096 KB Let P1, P2, … ,PN, … be a sequence of prime numbers. Super-prime number is such a prime number that its current number in prime numbers sequence is a prime number…

115. Calendar time limit per test: 0.25 sec. memory limit per test: 4096 KB First year of new millenium is gone away. In commemoration of it write a program that finds the name of the day of the week for any date in 2001. Input Input is a line with t…