Odd numbers recursively? code currently finds even nums - algorithm

Just wondering if there is a line change I can make in order to find odds instead of evens? Here's what I got:
#include <iostream>
#include <conio.h>
#include "stdafx.h"
void numOdd(int x, int y)
{
std::cout << x << " ";
if (x < y)
{
numOdd(x + 2, y);
}
}
int main()
{
int x = 0;
int y = 0;
std::cout << "Up to what num to find odd nums? " << std::endl;
std::cin >> y;
numOdd(x, y);
_getch();
}

Initialize x to 1 instead of 0.
Aso, be advised that recursion is not a great fit for this problem; a simple loop would be more appropriate.

Related

Why is my Grid Traveler Memoization still sticking?

I'm currently working on implementing memoization into the Grid Traveler problem. It looks like it should work, but it's still sticking on bigger cases like (18,18). Did I miss something, or are maps not the right choice for this kind of problem?
P.S. I'm still very new at working with maps.
#include <iostream>
#include <unordered_map>
#include <string>
using namespace std;
uint64_t gridTravMemo(int m, int n, unordered_map<string, uint64_t>grid)
{
string key;
key = to_string(m) + "," + to_string(n);
if (grid.count(key) > 0)
return grid.at(key);
if (m == 1 && n == 1)
return 1;
if (m == 0 || n == 0)
return 0;
grid[key] = gridTravMemo(m-1, n, grid) + gridTravMemo(m, n-1, grid);
return grid.at(key);
}
int main()
{
unordered_map<string, uint64_t> gridMap;
cout << gridTravMemo(1, 1, gridMap) << endl;
cout << gridTravMemo(2, 2, gridMap) << endl;
cout << gridTravMemo(3, 2, gridMap) << endl;
cout << gridTravMemo(3, 3, gridMap) << endl;
cout << gridTravMemo(18, 18, gridMap) << endl;
return 0;
}
The point of memorized search is to optimize running time by returning any previous values that you have calculated. This way, instead of a brute force algorithm, you can reach a runtime of O(N*M).
However, you are passing your unordered_map<string, uint64_t>grid as a parameter for your depth-first search.
You are calling grid[key] = gridTravMemo(m-1, n, grid) + gridTravMemo(m, n-1, grid); This means that your search is splitting into two branches. However, the grid in these two branches are different. This means that the same state can be visited in two separate branches, leading to a runtime more like O(2^(N*M)).
When you're testing an 18x18 grid, this definitely will not run quickly enough.
This is relatively easy to fix. Just declare grid as a global variable. This way its values can be used between different branches.
Try something like this:
#include <iostream>
#include <unordered_map>
#include <string>
using namespace std;
unordered_map<string, uint64_t> grid;
uint64_t gridTravMemo(int m, int n)
{
string key;
key = to_string(m) + "," + to_string(n);
if (grid.count(key) > 0)
return grid.at(key);
if (m == 1 && n == 1)
return 1;
if (m == 0 || n == 0)
return 0;
grid[key] = gridTravMemo(m-1, n) + gridTravMemo(m, n-1);
return grid.at(key);
}
int main()
{
cout << gridTravMemo(1, 1) << endl;
grid.clear()
cout << gridTravMemo(2, 2) << endl;
grid.clear()
cout << gridTravMemo(3, 2) << endl;
grid.clear()
cout << gridTravMemo(3, 3) << endl;
grid.clear()
cout << gridTravMemo(18, 18) << endl;
return 0;
}

c++, problems with cin? [closed]

Closed. This question is not reproducible or was caused by typos. It is not currently accepting answers.
This question was caused by a typo or a problem that can no longer be reproduced. While similar questions may be on-topic here, this one was resolved in a way less likely to help future readers.
Closed 3 years ago.
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I wrote a small test to figure out the fastest mathematic operation for a special x. I wanted the x to be entered by the user, so that I can run the tests for different x. In the following code I tells me that there is an error with std::cin >> val;
error: cannot bind 'std::istream {aka std::basic_istream}' lvalue to 'std::basic_istream&&'
If I declare val as double valinstead of const double val I get more errors. What can I change in order to have a running programm?
#include <cmath>
#include <chrono>
#include <iomanip>
#include <iostream>
#include <istream>
#include <ostream>
// for x^1.5
double test_pow_15(double x) { return std::pow(x, 1.5); };
double test_chain_15(double x) { return sqrt(x * x * x); };
double test_tmp_15(double x) { double tmp = x * x * x; return sqrt(tmp); };
volatile double sink;
const double val = 0;
const double ans_15 = std::pow(val, 1.5);
void do_test(const char* name, double(&fn)(double), const double ans) {
auto start = std::chrono::high_resolution_clock::now();
for (size_t n = 0; n < 1000 * 1000 * 10; ++n) {
sink = val;
sink = fn(sink);
}
auto end = std::chrono::high_resolution_clock::now();
std::chrono::duration<double, std::milli> dur = end - start;
std::cout << name << ".Took" << dur.count() << "ms, error:" << sink - ans << '\n';
}
int main()
{
std::cout << "Speed test"<< '\n';
std::cout << "Please enter value for x."<< '\n';
std::cout << "x = ";
std::cin >> val;
std::cout << "Speed test starts for x = "<< val <<"."<<'\n';
std::cout << " " << '\n';
std::cout << "For " << val<<"^(1.5) the speed is:" <<'\n';
do_test("std::pow(x,1.5) ",test_pow_15, ans_15);
do_test("sqrt(x*x*x) ",test_chain_15, ans_15);
do_test("tmp = x*x*x; sqrt(tmp) ",test_tmp_15, ans_15);
return 0;
}
I think if you remove the "const" keyword, it would probably work fine.
double val = 0;

wrong result boost gmp float

I need to compute 5^64 with boost multiprecision library which should yield 542101086242752217003726400434970855712890625 but boost::multiprecision::pow() takes mpfloat and gives 542101086242752217003726392492611895881105408.
However If I loop and repeatedly multiply using mpint I get correct result.
Is it a bug ? or I am using boost::multiprecision::pow() in a wrong way ? or I there is an alternative of using boost::multiprecision::pow() ?
#include <iostream>
#include <string>
#include <boost/multiprecision/gmp.hpp>
typedef boost::multiprecision::mpz_int mpint;
typedef boost::multiprecision::number<boost::multiprecision::gmp_float<4> > mpfloat;
int main(){
mpfloat p = boost::multiprecision::pow(mpfloat(5), mpfloat(64));
std::cout << p.template convert_to<mpint>() << std::endl;
mpint res(1);
for(int i = 0; i < 64; ++i){
res = res * 5;
}
std::cout << res << std::endl;
}

Interleave random numbers

I would like to interleave a random number with some alphanumeric characters, for example: HELLO mixed with the random number 25635 → H2E5L6L3O5. I know %1d controls the spacing, although I'm not sure how to interleave text between the random numbers or how accomplish this.
Code:
int main(void) {
int i;
srand(time(NULL));
for (i = 1; i <= 10; i++) {
printf("%1d", 0 + (rand() % 10));
if (i % 5 == 0) {
printf("\n");
}
}
return 0;
}
btw - if my random number generator isn't very good i'm open to suggestions - thanks
If you're okay with using C++11, you could use something like this:
#include <iostream>
#include <random>
#include <string>
int main() {
std::random_device rd;
std::default_random_engine e1(rd());
std::uniform_int_distribution<int> uniform_dist(0, 9);
std::string word = "HELLO";
for (auto ch : word) {
std::cout << ch << uniform_dist(e1);
}
std::cout << '\n';
}
...which produces e.g.:
H3E6L6L1O5
If you're stuck with an older compiler, you could use rand and srand from the standard C library for your random numbers:
#include <iostream>
#include <cstdlib>
#include <ctime>
#include <string>
int main() {
std::srand(std::time(NULL));
std::string word = "HELLO";
for (int i = 0; i < word.size(); ++i) {
std::cout << word[i] << (rand() % 10);
}
std::cout << '\n';
}

Reading a text file using VC++

I need to read a text file which is for example like bottom :
8.563E+002 2.051E+004 4.180E-004 7.596E-001 5.260E-005 6.898E-002 1.710E-001 8.053E-011 2.686E-013 8.650E-012
each of this 10 scientific digits are the specific value of one line it means each line contains 10 value like above, There is one such line for every grid point in each file. The X indices value most rapidly, then Y, then Z; the first line in the file refers to element (0,0,0); it means the first 10 values presents the first line which refers to element (0,0,0) and the second line (second 10 values) to second element (1,0,0); the last to element (599,247,247).
I don't know how can I write the code for this file using visual C++ ,what I know is I have to read this file line by line which can be determined by eliminating 10 values and tokenize it , then I have to create the x y z for each line il end of the line. I know the concept but I don't know How can I code it in visual C++ .. I need to submit it as my homework .. I really welcome every help .. Thanks
core part can look like:
std::ifstream is("test.txt");
std::vector<double> numbers;
for(;;) {
double number;
is >> number;
if (!is)
break;
numbers.push_back(number);
}
I do not have here MSVC but GCC 4.3. I hope this code helps:
#include <iostream>
#include <fstream>
#include <list>
#include <string>
#include <iterator>
using namespace std;
class customdata
{
friend istream& operator>>(istream& in, customdata& o);
friend ostream& operator<<(ostream& out, const customdata& i);
public:
customdata()
: x(0), y(0), z(0)
{}
customdata(const customdata& o)
: x(o.x), y(o.y), z(o.z)
{}
customdata& operator=(const customdata& o)
{
if (this != &o)
{
x = o.x;
y = o.y;
z = o.z;
}
return *this;
}
private:
long double x, y, z;
};
istream& operator>>(istream& in, customdata& o)
{
in >> o.x >> o.y >> o.z;
return in;
}
ostream& operator<<(ostream& out, const customdata& i)
{
out << "x=" << i.x << " y=" << i.y << " z=" << i.z;
return out;
}
// Usage: yourexec <infile>
int main(int argc, char** argv)
{
int exitcode=0;
if(argc > 1)
{
ifstream from(argv[1]);
if (!from)
{
cerr << "cannot open input file " << argv[1] << endl;
exitcode=1;
}
else
{
list<customdata> mydata;
copy(istream_iterator<customdata>(from), istream_iterator<customdata>(), back_inserter(mydata));
if(mydata.empty())
{
cerr << "corrupt input data" << endl;
exitcode=3;
}
else
copy(mydata.begin(), mydata.end(), ostream_iterator<customdata>(cout, "\n"));
}
}
else
{
cerr << "insufficient calling parameters" << endl;
exitcode=2;
}
return exitcode;
}

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