Improve a given function so that it runs in O(log n) time in C++
C++
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#include <iostream>using namespace std;int main() { int n, i = 1, sum = 0; cout << "Enter a number: "; cin >> n; while (i <= n) { sum += i; i *= 2; // This is the key to make it run in O(log n) time. } cout << "The sum of all numbers from 1 to " << n << " is: " << sum << endl; return 0;}🤖 Code Explanation
The code calculates the sum of all numbers from 1 to n. The key to making it run in O(log n) time is the i *= 2 statement, which causes the loop to run in O(log n) time.
More problems solved in C++
Improve a given function so that it runs in O(log n) time
write a function to check if a number is a perfect cube
write a function to check if a number is a perfect cube
Calculate the income tax for an income of $70k by adhering to the rules below:
First $10k: 0 = 0
Next $10k: 10 = 10
Following $10k: 20 = 20
Remaining amount: 30
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A steel beam is supported by two concrete pillars. The beam has a length of 10 m and a weight of 5 kN. The pillars are 1 m apart. Determine the reactions at the pillar supports.
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Design a basic attitude control system for a spacecraft. The system should be able to maintain the spacecraft's orientation within certain limits, and should be able to rotate the spacecraft about one or more axes. The system should also be able to compensate for any external forces acting on the spacecraft, such as solar radiation pressure or gravity.
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The minimum delta-v required to maintain a 3:1 ratio between the apogee and perigee is 0.4 km/s.
Assuming a spacecraft is in low Earth orbit with an apogee of 400 km and a perigee of 300 km, and is not maneuvers for the purposes of this exercise, what is the minimum delta-v required to maintain a 3:1 ratio between the apogee and perigee?
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What is the net force?
What fourth force will put the point in equilibrium?
Three forces act on a point: 3 N at 0°, 4 N at 90°, and 5 N at 217°.
What is the net force?
What fourth force will put the point in equilibrium?
Three forces act on a point: 3N at 0°, 4N at 90°, and 5N at 217°.
What is the net force?
What fourth force will put the point in equilibrium?
A 100 kg wooden crate rests on a wooden ramp with an adjustable angle of inclination.
The angle of the ramp is set to 10°, determine:
the component of the crate's weight that is perpendicular to the ramp.
the component of the crate's weight that is parallel to the ramp
the normal force between the crate and the ramp.
the static friction force between the crate and the ramp.
At what angle will the crate just begin to slip?
A 100 kg wooden crate rests on a wooden ramp with an adjustable angle of inclination.
The angle of the ramp is set to 10°, determine:
the component of the crate's weight that is perpendicular to the ramp.
the component of the crate's weight that is parallel to the ramp
the normal force between the crate and the ramp.
the static friction force between the crate and the ramp.
At what angle will the crate just begin to slip?
write a function to check if a number is a perfect cube