Robot Motion Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 10708   Accepted: 5192 Description A robot has been programmed to follow the instructions in its path. Instructions for the next direction the robot is to move are laid down in…

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…