Reducing Run Time C or C++ [closed] - c++

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Can u Guys Please give me tips on how to reduce the compilation time of my c or c++ programmes...
Some basic simple techniques will be helpful.
I was solving a question through a site(https://www.codechef.com/problems/TRISQ)
The Question was :-
What is the maximum number of squares of size 2x2 that can be fit in a right angled isosceles triangle of base B.One side of the square must be parallel to the base of the isosceles triangle.Base is the shortest side of the triangle.
First line contains T, the number of test cases.
Each of the following T lines contains 1 integer B.
Output exactly T lines, each line containing the required answer.
Sample Input
11
1
2
3
4
5
6
7
8
9
10
11
Sample Output
0
0
0
1
1
3
3
6
6
10
10
MY CODE
#include<iostream>
using namespace std;
int main()
{
int T,N,a,i,j;
cin>>T;
while(T--)
{
a=0;
cin>>N;
N=N/2;
N--;
j=N;
for(i=0;i<j;i++)
{
a+=N;
N--;
}
cout<<a<<endl;
}
}
So how do u guys think that this code (for eg) can be edited for better compilation time?

First profile.
Second, turn up optimizations levels on you compiler.
Thirdly, replace your for loop with multiplication / algebra. For example, the line
a+=N
is the fundamental basis for multiplication (repetitive addition), and the loop can be replaced by:
a += j * N; N -= j;
Replacing the loop will speed up your program (if your compiler hasn't already replaced the loop).
Printing the assembly language for the function will show how the compiler applied optimizations.
Edit 1:
Less code means a faster build time as well. I don't know if time difference in building is measurable.

Related

Why does rand()%10+1 give me a number between 1-10? [closed]

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Im fairly new to programming
So i was actually trying to figure something out
Why does rand()%10+1 give us a number between 1-10 whereas 32767%10 is actually 7?
I think I see the source of your confusion.
The fact that you referred to rand()%10 in your title and rand()%10+1 in the body of your question made that difficult.
You asked:
Why does rand()%10+1 give us a number between 1-10 whereas 32767%10 is actually 7?
It's because the function N%10 is not monotonically increasing. As the value of N increases, the value of N%10 goes up and down.
I think you're assuming:
that 32767 is the maximum value returned by rand() (which it can be, but on my system it's 2147483647, but that doesn't affect the point); and
that if 32767 is the maximum value returned by rand(), then 32767%10, which is 7, must be the maximum value of rand()%10.
Your second assumption is wrong. For any value N (we'll ignore negative values), N%10 is the last digit of its decimal representation. If rand() returns 9, then rand()%10 will be 9 and rand()%10+1 will be 10 -- which is larger than the value of 32767%10+1.
#include <stdio.h>
#include <stdlib.h>
int main()
{
int randomnumber;
randomnumber = rand() % 10;
printf("%d\n", randomnumber);
return 0;
}
When you run this code it will generate a number from 0 to 10 because of number 10 behind it (Because you want to random to 10 so that is why is a 10) but it will generate from 0 to 9 only. That's why you need a +1 at the end to generate random from 1 to 10. That's all.

Problem in Finding Prime Numbers between Two numbers [closed]

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I have to find all prime numbers between two given numbers(given in ascending order i.e small, large) I made logic such that my program starts from the given least number till the given most numbers and find factors for each number in between, if factors count are 2 i.e 1 and itself(which is a condition for a prime number), hence it is printed as prime. However I am unable to print my desired output.. can't track why(P.S I am 19 years old newbie in Programming)
#include <iostream>
using namespace std;
int main(){
int start,end;
cin>>start,end;
for(int i=start+1;i<end;++i){
int count;
for(int j=1;j<=i;++j){
if(i%j==0 || i/2==0)count++;
}
if(count==2) cout<<i<<endl;
}
return 0;
}
Input: 1 10
Expected Output:
2
3
5
7
9
Output: (nothing)
Your program has several issues.
cin>>start,end; is not going to read in 2 numbers. You need cin >> start >> end;
You are not initializing count to anything, so you invoke undefined behavior when you do count++. You need to do int count = 0;
Also, when checking if n is prime, you don't need to check for divisibility by 1 or n since this is always true.

Recursive function, geometric progression [closed]

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I've just started learning C++ and I came across a simple problem but couldn't solve. Help me please,
In geometric progression, b1=2, r=3.
Create recursive function that outputs initial n sequences of progression. n should be input.
Assuming b1 is the initial number and r is the multiplier (ratio?), that would give 2, 6, 18, 54, ....
The pseudo-code for such a beast would be:
def geometric (limit, current, multiplier):
if limit <= 0: return
print(current)
geometric(limit - 1, current * multiplier, multiplier)
def main():
b1 = 2
r = 3
n = input("How many terms? ")
geometric(n, b1, r)
The reason it's pseudo-code is that I tend to prefer for educational questions since people learn a lot more by converting it rather than just being given an answer.
So, in terms of how the recursive function works, you pass it the number of terms remaining along with the current term and the multiplier.
Provided it hasn't reached its base case (number of terms remaining is zero), it prints the current term then recursively calls itself, adjusting the arguments so as to approach the base case.
Once it has reached the base case, it will return (from all recursive levels).
Turning that into C++ is an exercise I'll leave for the reader, but I can provide something similar so you will see the approach taken.
Let's say you wanted to sum all the numbers between 1 and a given number. It has the same features as any recursive solution, including the one posed in your question:
an operation that can be defined in terms of a simpler operation; and
the base case.
In C++, a complete program to do that would be something like:
#include <iostream>
void recurse(int number, int sum) {
// Base case for printing and returning.
if (number <= 0) {
std::cout << "Sum is " << sum << '\n';
return;
}
// Recurse to next level.
recurse(number - 1, sum + number);
}
int main() {
int myNum;
std::cout << "Enter your number: ";
std::cin >> myNum;
recurse(myNum, 0);
}
Some sample runs:
Enter your number: 3
Sum is 6
Enter your number: 4
Sum is 10
Enter your number: 5
Sum is 15
Enter your number: 6
Sum is 21
Enter your number: 100
Sum is 5050
The explanatory text on your specific question, along with the C++ code showing how to do it for a different question, should hopefully be enough for you to work it out.

why my code is getting time excedded in "decrease to zero" problem [closed]

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Trying to solve hackerrank problem.
You are given Q queries. Each query consists of a single number N. You can perform 2 operations on N in each move. If N=a×b(a≠1, b≠1), we can change N=max(a,b) or decrease the value of N by 1. Determine the minimum number of moves required to reduce the value of N to 0.
Could you suggest how can I improve my code?
int downToZero(int n) {
int dp[n+1];
dp[0]=0;dp[1]=1;dp[2]=2;dp[3]=3;
for(int i=4;i<=n;i++)
{
dp[i]=dp[i-1]+1;
for(int j=2;j*j<=i;j++)
{
if(i%j==0)
{
int fac=max(j, i/j);
dp[i]=min(dp[i], dp[fac]+1);
}
}
}
return dp[n];
}
The bit that is too slow is:
for(int j=2;j*j<=i;j++)
{
if(i%j==0)
You are scanning linearly to find factors. There has to be a better way. Keeping a list of primes, for example.

trying to solve 8th project euler number 8 [closed]

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This is the link of the problem.
https://projecteuler.net/problem=8
below is my code.
#include <stdio.h>
int main() {
long i,sum;
long temp = 0;
long arr[1000] = {
// Increasingly large number is ommitted//
// I just add ',' between each numbers//};
for(i=0; i<988; i++){
sum = arr[i]*arr[i+1]*arr[i+2]*arr[i+3]*arr[i+4]*arr[i+5]*arr[i+6]
*arr[i+7]*arr[i+8]*arr[i+9]*arr[i+10]*arr[i+11]*arr[i+12];
if(temp<sum){
temp = sum;
}
}
printf("%ld",temp);
return 0;
}
so I got 2091059712 which seems kind of reasonable answer.
The real problem here is, that you did not account for the size of the product. An integer is 10 digits max (2,147,483,647). So this or something alike might happen:
sum = 9 * 9 * 9 * 9 * 9 * 9 * 9 * 9 * 9 * 9 * 9 * 9 * 9;
This gives: 2,541,865,828,329 which overflows your integer leading to undefined behaviour.
Use a larger integer type or take a different approach.
That's a brute force solution that will work fine for this size of problem.
Potential improvements:
Split the array on "0", and only test the substrings that are longer than the desired length.
Print out the numbers that ended up being the best substring. That way you can test that it actually is present in the original and the multiplication is done correctly.