positive integers (a,b) is called uncommon if ⌊ab⌋=amodb. Here, ⌊ab⌋ is the consequence of the integer division among an and b, while amodb is its remaining portion. You are given two integers x and y. Track down the number of uncommon sets (a,b) to such an extent that 1≤a≤x and 1≤b≤y. Input
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Correct answer will be upvoted else downvoted. Computer science.
pair of positive integers (a,b) is called uncommon if ⌊ab⌋=amodb. Here, ⌊ab⌋ is the consequence of the integer division among an and b, while amodb is its remaining portion.
You are given two integers x and y. Track down the number of uncommon sets (a,b) to such an extent that 1≤a≤x and 1≤b≤y.
Input
The main line contains a solitary integer t (1≤t≤100) — the number of experiments.
The main line of the depiction of each experiment contains two integers x, y (1≤x,y≤109).
Output
For each experiment print the appropriate response on a solitary line.
Step by step
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- Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Today the kindergarten has another gathering of n kids who should be situated during supper. The seats at the table are numbered from 1 to 4n. Two children can't sit on a similar seat. It is realized that two children who sit on seats with numbers an and b (a≠b) will enjoy if: gcd(a,b)=1 or, a partitions b or b separates a. gcd(a,b) — the greatest number x with the end goal that an is distinct by x and b is detachable by x. For instance, if n=3 and the children sit on seats with numbers 2, 3, 4, then, at that point, they will enjoy since 4 is isolated by 2 and gcd(2,3)=1. On the off chance that children sit on seats with numbers 4, 6, 10, they won't enjoy. The educator truly doesn't need the wreck at the table, so she needs to situate the children so there are no 2 of the child that can enjoy. All the more officially, she needs no pair of seats an and b that the children…Correct answer will be upvoted else downvoted. Computer science. pair of positive integers (a,b) is called uncommon if ⌊ab⌋=amodb. Here, ⌊ab⌋ is the aftereffect of the integer division among an and b, while amodb is its remaining portion. You are given two integers x and y. Track down the number of uncommon sets (a,b) to such an extent that 1≤a≤x and 1≤b≤y. Input The main line contains a solitary integer t (1≤t≤100) — the number of experiments. The main line of the depiction of each experiment contains two integers x, y (1≤x,y≤109). Output For each experiment print the appropriate response on a solitary line.Python answer only. Correct answer will upvoted else downvoted. It is the ideal opportunity for your very first race in the game against Ronnie. To make the race intriguing, you have wagered a dollars and Ronnie has wagered b dollars. Yet, the fans appear to be frustrated. The fervor of the fans is given by gcd(a,b), where gcd(x,y) means the best normal divisor (GCD) of integers x and y. To make the race seriously invigorating, you can perform two kinds of activities: Increment both an and b by 1. Diminishing both an and b by 1. This activity must be performed if both an and b are more noteworthy than 0. In one action, you can play out any of these activities. You can perform self-assertive (potentially zero) number of moves. Decide the greatest energy the fans can get and the base number of moves needed to accomplish it. Note that gcd(x,0)=x for any x≥0. Input The principal line of input contains a solitary integer t (1≤t≤5⋅103) — the number of experiments.…
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- Correct answer will be upvoted else downvoted. Computer science. Positive integer x is called divisor of positive integer y, in case y is distinguishable by x without remaining portion. For instance, 1 is a divisor of 7 and 3 isn't divisor of 8. We gave you an integer d and requested that you track down the littlest positive integer a, to such an extent that a has no less than 4 divisors; contrast between any two divisors of an is essentially d. Input The primary line contains a solitary integer t (1≤t≤3000) — the number of experiments. The primary line of each experiment contains a solitary integer d (1≤d≤10000). Output For each experiment print one integer a — the response for this experiment.A decreasing sequence of numbers is a sequence of integers where every integer in the sequence is smaller than all other previous integers in that sequence. For example, •35, 16, 7, 2, 0, -3, -9 is a decreasing sequence of numbers. The length of this sequence is 7 (total numbers in the sequence) and the difference of this sequence is 35 - (-9) -44. • 5 is a decreasing sequence of numbers with length 1 and difference 5-5 = 0 •99,-99 is a decreasing sequence of numbers with length 2 and difference 99-(-99) = 198 •17, 23, 11, 8, -5, -3 is not a decreasing sequence of %3D numbers. Write a program that contains a main() function. The main function repeatedly asks the user to enter an integer if the previously entered integers form a decreasing sequence of numbers. This process stops as soon as the latest user input breaks the decreasing sequence. Then your function should print the length and difference of the decreasing sequence. Finally, call the main() function such that the call will be…Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Oleg's cherished subjects are History and Math, and his beloved part of science is division. To further develop his division abilities, Oleg thought of t sets of integers pi and qi and for each pair chose to track down the best integer xi, to such an extent that: pi is detachable by xi; xi isn't detachable by qi. Oleg is great at division and figured out how to find every one of the appropriate responses rapidly, you should? Input The primary line contains an integer t (1≤t≤50) — the number of sets. Every one of the accompanying t lines contains two integers pi and qi (1≤pi≤1018; 2≤qi≤109) — the I-th pair of integers. Output Print t integers: the I-th integer is the biggest xi with the end goal that pi is detachable by xi, yet xi isn't distinct by qi. One can show that there is consistently somewhere around one worth of xi fulfilling the distinctness…
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