Representation of numbers, divisible by a large square, by a positive ternary quadratic formOne gives a generalization of the Linnik-Malyshev theorem (A. V. Malyshev, Tr. Mosk. Inst. Akad. Nauk, Vol. 65, 1962, Chap. V, Sec. 2) to arbitrary integral positive ternary quadratic forms....
can count the occurrences of each bit position in the numbers. If the sum of numbers at a particular bit position is divisible by 3, then the unique number at that position is 0; otherwise, it is 1.\nHere is an example code ...
Dora considers Swiper to be her rival, and she considers that she beat Swiper on day ii if and only if the least common multiple of the numbers she bought on day ii is strictly greater than the least common multiple of the numbers that Swiper bought on day ii. The least common multiple...
First, many of our graphs have horizontal axes that span a large range of non- negative numbers. To represent these ranges compactly, we use a logarithmic scale for non-zero values, but we also include an abscissa for the zero value, even though zero does not strictly belong on a ...
. Notably, 10-ness, 2-ness, 2.5-ness, and 5-ness do not simply refer to numbers that are divisible by these respective factors; rather, they refer to numbers that equal an integer no greater than 9 when divided by 1, 2, 2.5, or 5 multiplied by a power of 10. For example, 200 ...
# Loop through numbers 1 to 100foriinrange(1,101):# Check if number is divisible by both 3 and 5ifi%3==0andi%5==0:# Print "FizzBuzz" if number is divisible by both 3 and 5print("FizzBuzz")# Check if number is divisible by 3elifi%3==0:# Print "Fizz" if number is divi...
If we multiply A by the vector [0 1 0 1 0 1], using one-bit integer arithmetic, we get the zero vector. This tells us precisely which numbers we need to multiply to get a square. So, our goal is to find a nonzero vector x such that Ax=0 (remember, all arithmetic here is ...
Each case starts with a line containing two integers a (-10200 ≤ a ≤ 10200) and b (|b| > 0, b fits into a 32 bit signed integer). Numbers will not contain leading zeroes. Output For each case, print the case number first. Then print 'divisible' if a is divisible by b. Other...
What is the area of the circle enclosed by a 4 cm by 6 cm sheet wrapped around a 6 cm tall cylinder? Do meristematic cells divide to form permanent cell or they again form meristematic cells? How many irrational numbers are there between 1 ...
# Loop through numbers 1 to 100 for i in range(1, 101): # Check if number is divisible by both 3 and 5 if i % 3 == 0 and i % 5 == 0: # Print "FizzBuzz" if number is divisible by both 3 and 5 print("FizzBuzz") # Check if number is divisible by 3 elif i % 3 =...