feat: update to CXX standard 17 and add CMakeLists file to directories without them (#2746)

* chore: add cache and build comment to git ignore

* fix: add cmakelists to dynamic programming

* fix: add cmakelists to greedy_algorithms

* fix: add cmakelists to operations_on_datastructures

* fix: add cmakelists to range_queries

* fix: add `dynamic_programmin`, `greedy_algorithms`, `range_queries` and `operations_on_datastructures` subdirectories to cmakelists.txt

* fix: init of transform_reduce in dynamic_programming

* fix: add an include for functional in catalan_numbers

* chore: bump CXX standard to 20

* revert: bump CXX standard to 20

* chore: bump c++ version to 17 and add justification

Arm supports c++ 17
Esp32 supports c++ 23
decision was made to be 17 because it seemed to offer the best combatability

* fix: compilation error in catalan numbers

* fix: add <set> header to longest increasing subsequence nlogn

* fix: add cmath & algorithm header to mo.cpp

* fix: remove register key word from fast integer

* fix: replace using namespace std with std::cin and std::cout

* docs: typo in c++17

* fix: memory leak in bellman_ford

* fix: typo in bellman_ford

* fix: typo in word_break

* fix: dynamic array in coin_change

* fix dynamic array in egg_dropping puzzle

* chore: remove unnecessary comment

* fix: add vla to be an error

* chore: add extra warnings

* fix: use add_compile options instead of set()

* fix: compile options are not strings

* fix: vla in floyd_warshall

* fix: vla in egg_dropping_puzzel

* fix: vla in coin_change

* fix: vla in edit_distance

* fix: vla in floyd_warshall

* feat: remove kadane and replace it with kadane2

* fix: vla in longest_common_subsequence

* fix: int overflow in floyd_warshall

* fix: vla in lisnlogn

* fix: use const vector& instead of array

* fix: use dynamic array instead of vla in knapsack

* fix: use of and in msvc is unsupported by default adding permissive flag fixes it

* test: make executables the tests themselves

* Revert "test: make executables the tests themselves"

This reverts commit 7a16c31c4e.

* fix: make dist constant in print

* fix: namespace issue in unbounded_0_1

* fix: include cstdint to fix compilation
This commit is contained in:
realstealthninja
2024-11-04 18:00:20 +05:30
committed by GitHub
parent c6af943508
commit 0d766b0f8a
35 changed files with 377 additions and 268 deletions

4
.gitignore vendored
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@@ -34,5 +34,9 @@ a.out
*.out
*.app
# Cache
.cache/
# Build
build/
git_diff.txt

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@@ -5,16 +5,17 @@ project(Algorithms_in_C++
DESCRIPTION "Set of algorithms implemented in C++."
)
# set(CMAKE_CXX_CPPLINT "~/anaconda3/bin/cpplint --filter=-legal/copyright --std=c++11")
# find_program(CLANG_FORMAT "clang-format")
set(CMAKE_CXX_STANDARD 11)
# C++ standard
set(CMAKE_CXX_STANDARD 17)
set(CMAKE_CXX_STANDARD_REQUIRED ON)
# Additional warnings and errors
if(MSVC)
# set(CMAKE_CXX_STANDARD 14)
add_compile_definitions(_CRT_SECURE_NO_WARNINGS)
endif(MSVC)
add_compile_options(/W4 /permissive-)
else()
add_compile_options(-Wall -Wextra -Wno-register -Werror=vla)
endif()
option(USE_OPENMP "flag to use OpenMP for multithreading" ON)
if(USE_OPENMP)
@@ -38,6 +39,10 @@ add_subdirectory(graphics)
add_subdirectory(probability)
add_subdirectory(backtracking)
add_subdirectory(bit_manipulation)
add_subdirectory(dynamic_programming)
add_subdirectory(greedy_algorithms)
add_subdirectory(range_queries)
add_subdirectory(operations_on_datastructures)
add_subdirectory(data_structures)
add_subdirectory(machine_learning)
add_subdirectory(numerical_methods)

View File

@@ -22,7 +22,7 @@ This repository is a collection of open-source implementation of a variety of al
* Well documented source code with detailed explanations provide a valuable resource for educators and students alike.
* Each source code is atomic using [STL classes](https://en.wikipedia.org/wiki/Standard_Template_Library) and _no external libraries_ are required for their compilation and execution. Thus, the fundamentals of the algorithms can be studied in much depth.
* Source codes are [compiled and tested](https://github.com/TheAlgorithms/C-Plus-Plus/actions?query=workflow%3A%22Awesome+CI+Workflow%22) for every commit on the latest versions of three major operating systems viz., Windows, MacOS, and Ubuntu (Linux) using MSVC 19 2022, AppleClang 14.0.0, and GNU 11.3.0 respectively.
* Strict adherence to [C++11](https://en.wikipedia.org/wiki/C%2B%2B11) standard ensures portability of code to embedded systems as well like ESP32, ARM Cortex, etc. with little to no changes.
* Strict adherence to [C++17](https://en.wikipedia.org/wiki/C%2B%2B17) standard ensures portability of code to embedded systems as well like [ESP32](https://docs.espressif.com/projects/esp-idf/en/stable/esp32/api-guides/cplusplus.html#c-language-standard), [ARM Cortex](https://developer.arm.com/documentation/101458/2404/Standards-support/Supported-C-C---standards-in-Arm-C-C---Compiler), etc. with little to no changes.
* Self-checks within programs ensure correct implementations with confidence.
* Modular implementations and OpenSource licensing enable the functions to be utilized conveniently in other applications.

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@@ -0,0 +1,18 @@
# If necessary, use the RELATIVE flag, otherwise each source file may be listed
# with full pathname. RELATIVE may makes it easier to extract an executable name
# automatically.
file( GLOB APP_SOURCES RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} *.cpp )
# file( GLOB APP_SOURCES ${CMAKE_SOURCE_DIR}/*.c )
# AUX_SOURCE_DIRECTORY(${CMAKE_CURRENT_SOURCE_DIR} APP_SOURCES)
foreach( testsourcefile ${APP_SOURCES} )
# I used a simple string replace, to cut off .cpp.
string( REPLACE ".cpp" "" testname ${testsourcefile} )
add_executable( ${testname} ${testsourcefile} )
set_target_properties(${testname} PROPERTIES LINKER_LANGUAGE CXX)
if(OpenMP_CXX_FOUND)
target_link_libraries(${testname} OpenMP::OpenMP_CXX)
endif()
install(TARGETS ${testname} DESTINATION "bin/dynamic_programming")
endforeach( testsourcefile ${APP_SOURCES} )

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@@ -24,6 +24,7 @@
*/
#include <cassert> /// for `assert`
#include <cstdint> /// for `std::uint32_t`
#include <iostream> /// for IO operations
#include <string> /// for `std::string` library
#include <vector> /// for `std::vector` STL library

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@@ -1,5 +1,6 @@
#include <limits.h>
#include <climits>
#include <iostream>
#include <vector>
using namespace std;
@@ -13,13 +14,13 @@ class Edge {
class Graph {
public:
int vertexNum, edgeNum;
Edge *edges;
std::vector<Edge> edges;
// Constructs a graph with V vertices and E edges
Graph(int V, int E) {
this->vertexNum = V;
this->edgeNum = E;
this->edges = (Edge *)malloc(E * sizeof(Edge));
this->edges.reserve(E);
}
// Adds the given edge to the graph
@@ -36,7 +37,7 @@ class Graph {
};
// Utility function to print distances
void print(int dist[], int V) {
void print(const std::vector<int>& dist, int V) {
cout << "\nVertex Distance" << endl;
for (int i = 0; i < V; i++) {
if (dist[i] != INT_MAX)
@@ -52,7 +53,8 @@ void print(int dist[], int V) {
void BellmanFord(Graph graph, int src) {
int V = graph.vertexNum;
int E = graph.edgeNum;
int dist[V];
std::vector<int> dist;
dist.reserve(E);
// Initialize distances array as INF for all except source
// Intialize source as zero

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@@ -9,11 +9,12 @@
https://oeis.org/A000108/
*/
#include <cassert> /// for assert
#include <cstdint> /// for std::uint64_t
#include <cstdlib> /// for std::size_t
#include <numeric> /// for std::transform_reduce
#include <vector> /// for std::vector
#include <cassert> /// for assert
#include <cstdint> /// for std::uint64_t
#include <cstdlib> /// for std::size_t
#include <functional> /// for std::plus & std::multiplies
#include <numeric> /// for std::transform_reduce
#include <vector> /// for std::vector
/**
* @brief computes and caches Catalan numbers
@@ -24,7 +25,7 @@ class catalan_numbers {
value_type compute_next() {
return std::transform_reduce(known.begin(), known.end(), known.rbegin(),
static_cast<value_type>(), std::plus<>(),
static_cast<value_type>(0), std::plus<>(),
std::multiplies<>());
}

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@@ -1,11 +1,12 @@
#include <climits>
#include <iostream>
#include <vector>
using namespace std;
// Function to find the Minimum number of coins required to get Sum S
int findMinCoins(int arr[], int n, int N) {
// dp[i] = no of coins required to get a total of i
int dp[N + 1];
std::vector<int> dp(N + 1);
// 0 coins are needed for 0 sum

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@@ -21,6 +21,7 @@
#include <array>
#include <cassert>
#include <climits>
#include <cstdint>
#include <iostream>
/**
* @namespace dynamic_programming
@@ -70,8 +71,8 @@ int maxProfitByCuttingRod(const std::array<int, T> &price, const uint64_t &n) {
*/
static void test() {
// Test 1
const int16_t n1 = 8; // size of rod
std::array<int32_t, n1> price1 = {1,2,4,6,8,45,21,9}; // price array
const int16_t n1 = 8; // size of rod
std::array<int32_t, n1> price1 = {1, 2, 4, 6, 8, 45, 21, 9}; // price array
const int64_t max_profit1 =
dynamic_programming::cut_rod::maxProfitByCuttingRod(price1, n1);
const int64_t expected_max_profit1 = 47;
@@ -86,15 +87,15 @@ static void test() {
31, 32, 33, 34, 35, 36, 37, 38, 39, 40,
41, 42, 43, 44, 45, 46, 47, 48, 49, 50};
const int64_t max_profit2=
const int64_t max_profit2 =
dynamic_programming::cut_rod::maxProfitByCuttingRod(price2, n2);
const int32_t expected_max_profit2 = 90;
assert(max_profit2 == expected_max_profit2);
std::cout << "Maximum profit with " << n2 << " inch road is " << max_profit2
<< std::endl;
// Test 3
const int16_t n3 = 5; // size of rod
std::array<int32_t, n3> price3 = {2,9,17,23,45}; // price array
// Test 3
const int16_t n3 = 5; // size of rod
std::array<int32_t, n3> price3 = {2, 9, 17, 23, 45}; // price array
const int64_t max_profit3 =
dynamic_programming::cut_rod::maxProfitByCuttingRod(price3, n3);
const int64_t expected_max_profit3 = 45;

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@@ -13,6 +13,7 @@
#include <iostream>
#include <string>
#include <vector>
using namespace std;
int min(int x, int y, int z) { return min(min(x, y), z); }
@@ -46,7 +47,7 @@ int editDist(string str1, string str2, int m, int n) {
*/
int editDistDP(string str1, string str2, int m, int n) {
// Create Table for SubProblems
int dp[m + 1][n + 1];
std::vector<std::vector<int> > dp(m + 1, std::vector<int>(n + 1));
// Fill d[][] in bottom up manner
for (int i = 0; i <= m; i++) {

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@@ -4,10 +4,13 @@
#include <climits>
#include <iostream>
#include <vector>
using namespace std;
int eggDrop(int n, int k) {
int eggFloor[n + 1][k + 1];
std::vector<std::vector<int> > eggFloor(n + 1, std::vector<int>(k + 1));
int result;
for (int i = 1; i <= n; i++) {

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@@ -1,6 +1,7 @@
#include <climits>
#include <cstddef>
#include <iostream>
#include <string>
#include <vector>
using std::cin;
using std::cout;
@@ -24,7 +25,9 @@ class Graph {
}
~Graph() {
for (int i = 0; i < vertexNum; i++) delete[] edges[i];
for (int i = 0; i < vertexNum; i++) {
delete[] edges[i];
}
delete[] edges;
}
@@ -35,7 +38,7 @@ class Graph {
};
// Utility function to print distances
void print(int dist[], int V) {
void print(const std::vector<int>& dist, int V) {
cout << "\nThe Distance matrix for Floyd - Warshall" << endl;
for (int i = 0; i < V; i++) {
for (int j = 0; j < V; j++) {
@@ -52,8 +55,8 @@ void print(int dist[], int V) {
// The main function that finds the shortest path from a vertex
// to all other vertices using Floyd-Warshall Algorithm.
void FloydWarshall(Graph graph) {
int V = graph.vertexNum;
int dist[V][V];
std::size_t V = graph.vertexNum;
std::vector<std::vector<int> > dist(V, std::vector<int>(V));
// Initialise distance array
for (int i = 0; i < V; i++)
@@ -76,7 +79,7 @@ void FloydWarshall(Graph graph) {
dist[i][j] = dist[i][k] + dist[k][j];
// Convert 2d array to 1d array for print
int dist1d[V * V];
std::vector<int> dist1d(V * V);
for (int i = 0; i < V; i++)
for (int j = 0; j < V; j++) dist1d[i * V + j] = dist[i][j];

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@@ -11,9 +11,9 @@
#include <cassert> /// for assert
#include <climits> /// for std::max
#include <cstdint> /// for std::uint32_t
#include <iostream> /// for io operations
#include <vector> /// for std::vector
/**
* @namespace dynamic_programming
* @brief Dynamic Programming algorithms

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@@ -1,29 +1,74 @@
/**
* @file
* @brief Implementation of [Kadane
* Algorithm](https://en.wikipedia.org/wiki/Kadane%27s_algorithm)
*
* @details
* Kadane algorithm is used to find the maximum sum subarray in an array and
* maximum sum subarray problem is the task of finding a contiguous subarray
* with the largest sum
*
* ### Algorithm
* The simple idea of the algorithm is to search for all positive
* contiguous segments of the array and keep track of maximum sum contiguous
* segment among all positive segments(curr_sum is used for this)
* Each time we get a positive sum we compare it with max_sum and update max_sum
* if it is greater than curr_sum
*
* @author [Ayush Singh](https://github.com/ayush523)
*/
#include <array>
#include <climits>
#include <iostream>
int maxSubArraySum(int a[], int size) {
int max_so_far = INT_MIN, max_ending_here = 0;
for (int i = 0; i < size; i++) {
max_ending_here = max_ending_here + a[i];
if (max_so_far < max_ending_here)
max_so_far = max_ending_here;
if (max_ending_here < 0)
max_ending_here = 0;
/**
* @namespace dynamic_programming
* @brief Dynamic Programming algorithms
*/
namespace dynamic_programming {
/**
* @namespace kadane
* @brief Functions for
* [Kadane](https://en.wikipedia.org/wiki/Kadane%27s_algorithm) algorithm.
*/
namespace kadane {
/**
* @brief maxSubArray function is used to calculate the maximum sum subarray
* and returns the value of maximum sum which is stored in the variable max_sum
* @tparam N number of array size
* @param n array where numbers are saved
* @returns the value of maximum subarray sum
*/
template <size_t N>
int maxSubArray(const std::array<int, N> &n) {
int curr_sum =
0; // declaring a variable named as curr_sum and initialized it to 0
int max_sum = INT_MIN; // Initialized max_sum to INT_MIN
for (int i : n) { // for loop to iterate over the elements of the array
curr_sum += n[i];
max_sum = std::max(max_sum, curr_sum); // getting the maximum value
curr_sum = std::max(curr_sum, 0); // updating the value of curr_sum
}
return max_so_far;
return max_sum; // returning the value of max_sum
}
} // namespace kadane
} // namespace dynamic_programming
/**
* @brief Main function
* @returns 0 on exit
*/
int main() {
int n, i;
std::cout << "Enter the number of elements \n";
std::cin >> n;
int a[n]; // NOLINT
for (i = 0; i < n; i++) {
std::cin >> a[i];
const int N = 5;
std::array<int, N> n{}; // declaring array
// taking values of elements from user
for (int i = 0; i < n.size(); i++) {
std::cout << "Enter value of n[" << i << "]"
<< "\n";
std::cin >> n[i];
}
int max_sum = maxSubArraySum(a, n);
std::cout << "Maximum contiguous sum is " << max_sum;
int max_sum = dynamic_programming::kadane::maxSubArray<N>(
n); // calling maxSubArray function
std::cout << "Maximum subarray sum is " << max_sum; // Printing the answer
return 0;
}

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@@ -1,74 +0,0 @@
/**
* @file
* @brief Implementation of [Kadane
* Algorithm](https://en.wikipedia.org/wiki/Kadane%27s_algorithm)
*
* @details
* Kadane algorithm is used to find the maximum sum subarray in an array and
* maximum sum subarray problem is the task of finding a contiguous subarray
* with the largest sum
*
* ### Algorithm
* The simple idea of the algorithm is to search for all positive
* contiguous segments of the array and keep track of maximum sum contiguous
* segment among all positive segments(curr_sum is used for this)
* Each time we get a positive sum we compare it with max_sum and update max_sum
* if it is greater than curr_sum
*
* @author [Ayush Singh](https://github.com/ayush523)
*/
#include <array>
#include <climits>
#include <iostream>
/**
* @namespace dynamic_programming
* @brief Dynamic Programming algorithms
*/
namespace dynamic_programming {
/**
* @namespace kadane
* @brief Functions for
* [Kadane](https://en.wikipedia.org/wiki/Kadane%27s_algorithm) algorithm.
*/
namespace kadane {
/**
* @brief maxSubArray function is used to calculate the maximum sum subarray
* and returns the value of maximum sum which is stored in the variable max_sum
* @tparam N number of array size
* @param n array where numbers are saved
* @returns the value of maximum subarray sum
*/
template <size_t N>
int maxSubArray(const std::array<int, N> &n) {
int curr_sum =
0; // declaring a variable named as curr_sum and initialized it to 0
int max_sum = INT_MIN; // Initialized max_sum to INT_MIN
for (int i : n) { // for loop to iterate over the elements of the array
curr_sum += n[i];
max_sum = std::max(max_sum, curr_sum); // getting the maximum value
curr_sum = std::max(curr_sum, 0); // updating the value of curr_sum
}
return max_sum; // returning the value of max_sum
}
} // namespace kadane
} // namespace dynamic_programming
/**
* @brief Main function
* @returns 0 on exit
*/
int main() {
const int N = 5;
std::array<int, N> n{}; // declaring array
// taking values of elements from user
for (int i = 0; i < n.size(); i++) {
std::cout << "Enter value of n[" << i << "]"
<< "\n";
std::cin >> n[i];
}
int max_sum = dynamic_programming::kadane::maxSubArray<N>(
n); // calling maxSubArray function
std::cout << "Maximum subarray sum is " << max_sum; // Printing the answer
return 0;
}

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@@ -1,5 +1,6 @@
// Longest common subsequence - Dynamic Programming
#include <iostream>
#include <vector>
using namespace std;
void Print(int trace[20][20], int m, int n, string a) {
@@ -18,7 +19,7 @@ void Print(int trace[20][20], int m, int n, string a) {
int lcs(string a, string b) {
int m = a.length(), n = b.length();
int res[m + 1][n + 1];
std::vector<std::vector<int> > res(m + 1, std::vector<int>(n + 1));
int trace[20][20];
// fills up the arrays with zeros.

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@@ -21,6 +21,7 @@
#include <cassert> /// for assert
#include <climits> /// for std::max
#include <cstdint> /// for std::uint64_t
#include <iostream> /// for IO operations
#include <vector> /// for std::vector

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@@ -3,9 +3,11 @@
// tested on : https://cses.fi/problemset/task/1145/
#include <iostream>
#include <set>
#include <vector>
using namespace std;
int LIS(int arr[], int n) {
int LIS(const std::vector<int>& arr, int n) {
set<int> active; // The current built LIS.
active.insert(arr[0]);
// Loop through every element.
@@ -31,7 +33,7 @@ int main(int argc, char const* argv[]) {
int n;
cout << "Enter size of array: ";
cin >> n;
int a[n];
std::vector<int> a(n);
cout << "Enter array elements: ";
for (int i = 0; i < n; ++i) {
cin >> a[i];

View File

@@ -1,6 +1,8 @@
/**
* @file
* @brief Implementation of [Minimum Edit Distance](https://en.wikipedia.org/wiki/Edit_distance) using Dynamic Programing
* @brief Implementation of [Minimum Edit
* Distance](https://en.wikipedia.org/wiki/Edit_distance) using Dynamic
* Programing
*
* @details
*
@@ -32,9 +34,11 @@
* @author [Nirjas Jakilim](github.com/nirzak)
*/
#include <cassert> /// for assert
#include <iostream> /// for IO operations
#include <cassert> /// for assert
#include <cstdint> /// for std::uint64_t
#include <iostream> /// for IO operations
#include <vector> /// for std::vector
/**
* @namespace dynamic_programming
* @brief Dynamic Programming algorithms
@@ -44,7 +48,8 @@ namespace dynamic_programming {
/**
* @namespace Minimum Edit Distance
* @brief Implementation of [Minimum Edit Distance](https://en.wikipedia.org/wiki/Edit_distance) algorithm
* @brief Implementation of [Minimum Edit
* Distance](https://en.wikipedia.org/wiki/Edit_distance) algorithm
*/
namespace minimum_edit_distance {
@@ -61,15 +66,14 @@ namespace minimum_edit_distance {
* @returns z if `z` is the minimum value
*/
uint64_t min(uint64_t x, uint64_t y, uint64_t z) {
if (x <= y && x <= z) {
return x; /// returns x, if x is the minimum value
}
if (y <= x && y <= z) {
return y; /// returns y, if y is the minimum value
}
else {
return z; /// returns z if z is the minimum value
}
if (x <= y && x <= z) {
return x; /// returns x, if x is the minimum value
}
if (y <= x && y <= z) {
return y; /// returns y, if y is the minimum value
} else {
return z; /// returns z if z is the minimum value
}
}
/**
@@ -85,42 +89,48 @@ uint64_t min(uint64_t x, uint64_t y, uint64_t z) {
* @returns dp[m][n] the minimum cost of operations
* needed to convert str1 to str2
*/
uint64_t editDistDP(std::string str1, std::string str2, uint64_t m, uint64_t n) {
/// Create a table to store results of subproblems
std::vector<std::vector<uint64_t>>dp(m+1, std::vector<uint64_t>(n+1)); /// creasting 2D vector dp to store the results of subproblems
uint64_t editDistDP(std::string str1, std::string str2, uint64_t m,
uint64_t n) {
/// Create a table to store results of subproblems
std::vector<std::vector<uint64_t>> dp(
m + 1,
std::vector<uint64_t>(
n +
1)); /// creasting 2D vector dp to store the results of subproblems
/// Fill d[][] in bottom up manner
for (uint64_t i = 0; i <= m; i++) {
for (uint64_t j = 0; j <= n; j++) {
/// If first string is empty, only option is to
/// insert all characters of second string
if (i == 0) {
dp[i][j] = j; /// Minimum operations = j
}
/// Fill d[][] in bottom up manner
for (uint64_t i = 0; i <= m; i++) {
for (uint64_t j = 0; j <= n; j++) {
/// If first string is empty, only option is to
/// insert all characters of second string
if (i == 0) {
dp[i][j] = j; /// Minimum operations = j
}
/// If second string is empty, only option is to
/// remove all characters of second string
else if (j == 0) {
dp[i][j] = i; /// Minimum operations = i
}
/// If second string is empty, only option is to
/// remove all characters of second string
else if (j == 0) {
dp[i][j] = i; /// Minimum operations = i
}
/// If last characters are same, ignore last char
/// and recur for remaining string
else if (str1[i - 1] == str2[j - 1]) {
dp[i][j] = dp[i - 1][j - 1];
}
/// If last characters are same, ignore last char
/// and recur for remaining string
else if (str1[i - 1] == str2[j - 1]) {
dp[i][j] = dp[i - 1][j - 1];
}
/// If the last character is different, consider all
/// possibilities and find the minimum
else {
dp[i][j] = 1 + min(dp[i][j - 1], // Insert
dp[i - 1][j], // Remove
dp[i - 1][j - 1]); // Replace
}
/// If the last character is different, consider all
/// possibilities and find the minimum
else {
dp[i][j] = 1 + min(dp[i][j - 1], // Insert
dp[i - 1][j], // Remove
dp[i - 1][j - 1]); // Replace
}
}
}
}
return dp[m][n]; /// returning the minimum cost of operations needed to convert str1 to str2
return dp[m][n]; /// returning the minimum cost of operations needed to
/// convert str1 to str2
}
} // namespace minimum_edit_distance
} // namespace dynamic_programming
@@ -130,25 +140,28 @@ uint64_t editDistDP(std::string str1, std::string str2, uint64_t m, uint64_t n)
* @returns void
*/
static void test() {
// 1st test
std::string str1 = "INTENTION"; // Sample input of 1st string
std::string str2 = "EXECUTION"; // Sample input of 2nd string
uint64_t expected_output1 = 5; // Expected minimum cost
uint64_t output1 = dynamic_programming::minimum_edit_distance::editDistDP(
str1, str2, str1.length(), str2.length()); // calling the editDistDP function and storing the result on output1
assert(output1 == expected_output1); // comparing the output with the expected output
std::cout << "Minimum Number of Operations Required: " << output1
<< std::endl;
// 1st test
std::string str1 = "INTENTION"; // Sample input of 1st string
std::string str2 = "EXECUTION"; // Sample input of 2nd string
uint64_t expected_output1 = 5; // Expected minimum cost
uint64_t output1 = dynamic_programming::minimum_edit_distance::editDistDP(
str1, str2, str1.length(),
str2.length()); // calling the editDistDP function and storing the
// result on output1
assert(output1 ==
expected_output1); // comparing the output with the expected output
std::cout << "Minimum Number of Operations Required: " << output1
<< std::endl;
// 2nd test
std::string str3 = "SATURDAY";
std::string str4 = "SUNDAY";
uint64_t expected_output2 = 3;
uint64_t output2 = dynamic_programming::minimum_edit_distance::editDistDP(
str3, str4, str3.length(), str4.length());
assert(output2 == expected_output2);
std::cout << "Minimum Number of Operations Required: " << output2
<< std::endl;
// 2nd test
std::string str3 = "SATURDAY";
std::string str4 = "SUNDAY";
uint64_t expected_output2 = 3;
uint64_t output2 = dynamic_programming::minimum_edit_distance::editDistDP(
str3, str4, str3.length(), str4.length());
assert(output2 == expected_output2);
std::cout << "Minimum Number of Operations Required: " << output2
<< std::endl;
}
/**
@@ -158,6 +171,6 @@ static void test() {
* @returns 0 on exit
*/
int main(int argc, char *argv[]) {
test(); // run self-test implementations
return 0;
test(); // run self-test implementations
return 0;
}

View File

@@ -28,10 +28,10 @@
*
*******************************************************************************/
#include <cassert> /// for assert
#include <cstdint> /// for std::uint64_t
#include <iostream> /// for IO Operations
#include <numeric> /// for std::accumulate
#include <vector> /// for std::vector
/******************************************************************************
* @namespace dp
* @brief Dynamic programming algorithms

View File

@@ -1,33 +1,33 @@
/**
* @file
* @brief Implementation of the Unbounded 0/1 Knapsack Problem
*
* @details
* The Unbounded 0/1 Knapsack problem allows taking unlimited quantities of each item.
* The goal is to maximize the total value without exceeding the given knapsack capacity.
* Unlike the 0/1 knapsack, where each item can be taken only once, in this variation,
* any item can be picked any number of times as long as the total weight stays within
* the knapsack's capacity.
*
* Given a set of N items, each with a weight and a value, represented by the arrays
* `wt` and `val` respectively, and a knapsack with a weight limit W, the task is to
* fill the knapsack to maximize the total value.
*
* @note weight and value of items is greater than zero
* @details
* The Unbounded 0/1 Knapsack problem allows taking unlimited quantities of each
* item. The goal is to maximize the total value without exceeding the given
* knapsack capacity. Unlike the 0/1 knapsack, where each item can be taken only
* once, in this variation, any item can be picked any number of times as long
* as the total weight stays within the knapsack's capacity.
*
* Given a set of N items, each with a weight and a value, represented by the
* arrays `wt` and `val` respectively, and a knapsack with a weight limit W, the
* task is to fill the knapsack to maximize the total value.
*
* @note weight and value of items is greater than zero
*
* ### Algorithm
* The approach uses dynamic programming to build a solution iteratively.
* A 2D array is used for memoization to store intermediate results, allowing
* The approach uses dynamic programming to build a solution iteratively.
* A 2D array is used for memoization to store intermediate results, allowing
* the function to avoid redundant calculations.
*
*
* @author [Sanskruti Yeole](https://github.com/yeolesanskruti)
* @see dynamic_programming/0_1_knapsack.cpp
*/
#include <cassert> // For using assert function to validate test cases
#include <cstdint> // For fixed-width integer types like std::uint16_t
#include <iostream> // Standard input-output stream
#include <vector> // Standard library for using dynamic arrays (vectors)
#include <cassert> // For using assert function to validate test cases
#include <cstdint> // For fixed-width integer types like std::uint16_t
#include <vector> // Standard library for using dynamic arrays (vectors)
/**
* @namespace dynamic_programming
@@ -42,7 +42,7 @@ namespace dynamic_programming {
namespace unbounded_knapsack {
/**
* @brief Recursive function to calculate the maximum value obtainable using
* @brief Recursive function to calculate the maximum value obtainable using
* an unbounded knapsack approach.
*
* @param i Current index in the value and weight vectors.
@@ -52,27 +52,33 @@ namespace unbounded_knapsack {
* @param wt Vector of weights corresponding to the items.
* @note "wt" data type can be changed according to the size of the input.
* @param dp 2D vector for memoization to avoid redundant calculations.
* @return The maximum value that can be obtained for the given index and capacity.
* @return The maximum value that can be obtained for the given index and
* capacity.
*/
std::uint16_t KnapSackFilling(std::uint16_t i, std::uint16_t W,
const std::vector<std::uint16_t>& val,
const std::vector<std::uint16_t>& wt,
std::vector<std::vector<int>>& dp) {
std::uint16_t KnapSackFilling(std::uint16_t i, std::uint16_t W,
const std::vector<std::uint16_t>& val,
const std::vector<std::uint16_t>& wt,
std::vector<std::vector<int>>& dp) {
if (i == 0) {
if (wt[0] <= W) {
return (W / wt[0]) * val[0]; // Take as many of the first item as possible
return (W / wt[0]) *
val[0]; // Take as many of the first item as possible
} else {
return 0; // Can't take the first item
return 0; // Can't take the first item
}
}
if (dp[i][W] != -1) return dp[i][W]; // Return result if available
if (dp[i][W] != -1)
return dp[i][W]; // Return result if available
int nottake = KnapSackFilling(i - 1, W, val, wt, dp); // Value without taking item i
int nottake =
KnapSackFilling(i - 1, W, val, wt, dp); // Value without taking item i
int take = 0;
if (W >= wt[i]) {
take = val[i] + KnapSackFilling(i, W - wt[i], val, wt, dp); // Value taking item i
take = val[i] + KnapSackFilling(i, W - wt[i], val, wt,
dp); // Value taking item i
}
return dp[i][W] = std::max(take, nottake); // Store and return the maximum value
return dp[i][W] =
std::max(take, nottake); // Store and return the maximum value
}
/**
@@ -84,17 +90,19 @@ std::uint16_t KnapSackFilling(std::uint16_t i, std::uint16_t W,
* @param wt Vector of weights corresponding to the items.
* @return The maximum value that can be obtained for the given capacity.
*/
std::uint16_t unboundedKnapsack(std::uint16_t N, std::uint16_t W,
const std::vector<std::uint16_t>& val,
const std::vector<std::uint16_t>& wt) {
if(N==0)return 0; // Expect 0 since no items
std::vector<std::vector<int>> dp(N, std::vector<int>(W + 1, -1)); // Initialize memoization table
return KnapSackFilling(N - 1, W, val, wt, dp); // Start the calculation
std::uint16_t unboundedKnapsack(std::uint16_t N, std::uint16_t W,
const std::vector<std::uint16_t>& val,
const std::vector<std::uint16_t>& wt) {
if (N == 0)
return 0; // Expect 0 since no items
std::vector<std::vector<int>> dp(
N, std::vector<int>(W + 1, -1)); // Initialize memoization table
return KnapSackFilling(N - 1, W, val, wt, dp); // Start the calculation
}
} // unbounded_knapsack
} // namespace unbounded_knapsack
} // dynamic_programming
} // namespace dynamic_programming
/**
* @brief self test implementation
@@ -102,42 +110,57 @@ std::uint16_t unboundedKnapsack(std::uint16_t N, std::uint16_t W,
*/
static void tests() {
// Test Case 1
std::uint16_t N1 = 4; // Number of items
std::vector<std::uint16_t> wt1 = {1, 3, 4, 5}; // Weights of the items
std::vector<std::uint16_t> val1 = {6, 1, 7, 7}; // Values of the items
std::uint16_t W1 = 8; // Maximum capacity of the knapsack
std::uint16_t N1 = 4; // Number of items
std::vector<std::uint16_t> wt1 = {1, 3, 4, 5}; // Weights of the items
std::vector<std::uint16_t> val1 = {6, 1, 7, 7}; // Values of the items
std::uint16_t W1 = 8; // Maximum capacity of the knapsack
// Test the function and assert the expected output
assert(unboundedKnapsack(N1, W1, val1, wt1) == 48);
std::cout << "Maximum Knapsack value " << unboundedKnapsack(N1, W1, val1, wt1) << std::endl;
assert(dynamic_programming::unbounded_knapsack::unboundedKnapsack(
N1, W1, val1, wt1) == 48);
std::cout << "Maximum Knapsack value "
<< dynamic_programming::unbounded_knapsack::unboundedKnapsack(
N1, W1, val1, wt1)
<< std::endl;
// Test Case 2
std::uint16_t N2 = 3; // Number of items
std::vector<std::uint16_t> wt2 = {10, 20, 30}; // Weights of the items
std::vector<std::uint16_t> val2 = {60, 100, 120}; // Values of the items
std::uint16_t W2 = 5; // Maximum capacity of the knapsack
std::uint16_t N2 = 3; // Number of items
std::vector<std::uint16_t> wt2 = {10, 20, 30}; // Weights of the items
std::vector<std::uint16_t> val2 = {60, 100, 120}; // Values of the items
std::uint16_t W2 = 5; // Maximum capacity of the knapsack
// Test the function and assert the expected output
assert(unboundedKnapsack(N2, W2, val2, wt2) == 0);
std::cout << "Maximum Knapsack value " << unboundedKnapsack(N2, W2, val2, wt2) << std::endl;
assert(dynamic_programming::unbounded_knapsack::unboundedKnapsack(
N2, W2, val2, wt2) == 0);
std::cout << "Maximum Knapsack value "
<< dynamic_programming::unbounded_knapsack::unboundedKnapsack(
N2, W2, val2, wt2)
<< std::endl;
// Test Case 3
std::uint16_t N3 = 3; // Number of items
std::vector<std::uint16_t> wt3 = {2, 4, 6}; // Weights of the items
std::vector<std::uint16_t> val3 = {5, 11, 13};// Values of the items
std::uint16_t W3 = 27;// Maximum capacity of the knapsack
std::uint16_t N3 = 3; // Number of items
std::vector<std::uint16_t> wt3 = {2, 4, 6}; // Weights of the items
std::vector<std::uint16_t> val3 = {5, 11, 13}; // Values of the items
std::uint16_t W3 = 27; // Maximum capacity of the knapsack
// Test the function and assert the expected output
assert(unboundedKnapsack(N3, W3, val3, wt3) == 27);
std::cout << "Maximum Knapsack value " << unboundedKnapsack(N3, W3, val3, wt3) << std::endl;
assert(dynamic_programming::unbounded_knapsack::unboundedKnapsack(
N3, W3, val3, wt3) == 27);
std::cout << "Maximum Knapsack value "
<< dynamic_programming::unbounded_knapsack::unboundedKnapsack(
N3, W3, val3, wt3)
<< std::endl;
// Test Case 4
std::uint16_t N4 = 0; // Number of items
std::vector<std::uint16_t> wt4 = {}; // Weights of the items
std::vector<std::uint16_t> val4 = {}; // Values of the items
std::uint16_t W4 = 10; // Maximum capacity of the knapsack
assert(unboundedKnapsack(N4, W4, val4, wt4) == 0);
std::cout << "Maximum Knapsack value for empty arrays: " << unboundedKnapsack(N4, W4, val4, wt4) << std::endl;
std::cout << "All test cases passed!" << std::endl;
std::uint16_t N4 = 0; // Number of items
std::vector<std::uint16_t> wt4 = {}; // Weights of the items
std::vector<std::uint16_t> val4 = {}; // Values of the items
std::uint16_t W4 = 10; // Maximum capacity of the knapsack
assert(dynamic_programming::unbounded_knapsack::unboundedKnapsack(
N4, W4, val4, wt4) == 0);
std::cout << "Maximum Knapsack value for empty arrays: "
<< dynamic_programming::unbounded_knapsack::unboundedKnapsack(
N4, W4, val4, wt4)
<< std::endl;
std::cout << "All test cases passed!" << std::endl;
}
/**
@@ -145,7 +168,6 @@ static void tests() {
* @return 0 on successful exit
*/
int main() {
tests(); // Run self test implementation
tests(); // Run self test implementation
return 0;
}

View File

@@ -105,7 +105,7 @@ bool check(const std::string &s, const std::unordered_set<std::string> &strSet,
// if the prefix till current position is present in the dictionary
// and the remaining substring can also be segmented legally, then
// set solution at position pos in the memo, and return true
if (exists(wordTillNow, strSet) and check(s, strSet, i + 1, dp)) {
if (exists(wordTillNow, strSet) && check(s, strSet, i + 1, dp)) {
dp->at(pos) = 1;
return true;
}

View File

@@ -0,0 +1,18 @@
# If necessary, use the RELATIVE flag, otherwise each source file may be listed
# with full pathname. RELATIVE may makes it easier to extract an executable name
# automatically.
file( GLOB APP_SOURCES RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} *.cpp )
# file( GLOB APP_SOURCES ${CMAKE_SOURCE_DIR}/*.c )
# AUX_SOURCE_DIRECTORY(${CMAKE_CURRENT_SOURCE_DIR} APP_SOURCES)
foreach( testsourcefile ${APP_SOURCES} )
# I used a simple string replace, to cut off .cpp.
string( REPLACE ".cpp" "" testname ${testsourcefile} )
add_executable( ${testname} ${testsourcefile} )
set_target_properties(${testname} PROPERTIES LINKER_LANGUAGE CXX)
if(OpenMP_CXX_FOUND)
target_link_libraries(${testname} OpenMP::OpenMP_CXX)
endif()
install(TARGETS ${testname} DESTINATION "bin/greedy_algorithms")
endforeach( testsourcefile ${APP_SOURCES} )

View File

@@ -44,7 +44,7 @@ int main() {
cout << "\n Enter the number of Items : ";
int n;
cin >> n;
Item itemArray[n];
Item *itemArray = new Item[n];
for (int i = 0; i < n; i++) {
cout << "\nEnter the weight and profit of item " << i + 1 << " : ";
cin >> itemArray[i].weight;
@@ -73,6 +73,6 @@ int main() {
}
cout << "\nMax Profit : " << maxProfit;
delete[] itemArray;
return 0;
}

View File

@@ -0,0 +1,15 @@
# If necessary, use the RELATIVE flag, otherwise each source file may be listed
# with full pathname. RELATIVE may makes it easier to extract an executable name
# automatically.
file( GLOB APP_SOURCES RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} *.cpp )
# file( GLOB APP_SOURCES ${CMAKE_SOURCE_DIR}/*.c )
# AUX_SOURCE_DIRECTORY(${CMAKE_CURRENT_SOURCE_DIR} APP_SOURCES)
foreach( testsourcefile ${APP_SOURCES} )
# I used a simple string replace, to cut off .cpp.
string( REPLACE ".cpp" "" testname ${testsourcefile} )
add_executable( ${testname} ${testsourcefile} )
set_target_properties(${testname} PROPERTIES LINKER_LANGUAGE CXX)
install(TARGETS ${testname} DESTINATION "bin/operations_on_datastructures")
endforeach( testsourcefile ${APP_SOURCES} )

View File

@@ -1,5 +1,6 @@
#include <iostream>
using namespace std;
using std::cin;
using std::cout;
int queue[10];
int front = 0;

View File

@@ -1,6 +1,7 @@
/**
* @file
* @brief [Trie datastructure](https://iq.opengenus.org/autocomplete-using-trie-data-structure/)
* @brief [Trie
* datastructure](https://iq.opengenus.org/autocomplete-using-trie-data-structure/)
* with search variants
* @details
* This provides multiple variants of search functions
@@ -12,6 +13,7 @@
#include <algorithm> /// for std::count
#include <cassert> /// for assert
#include <cctype> /// for tolower
#include <cstdint> /// for std::uint32_t
#include <cstring> /// for string operations
#include <iostream> /// for IO Operations
#include <queue> /// for std::priority_queue
@@ -23,7 +25,8 @@
namespace operations_on_datastructures {
/**
* @namespace trie_operations
* @brief Functions for [Trie datastructure](https://iq.opengenus.org/autocomplete-using-trie-data-structure/)
* @brief Functions for [Trie
* datastructure](https://iq.opengenus.org/autocomplete-using-trie-data-structure/)
* implementation
*/
namespace trie_operations {

View File

@@ -11,7 +11,7 @@
void fastinput(int *number) {
// variable to indicate sign of input integer
bool negative = false;
register int c;
int c;
*number = 0;
// extract current character from buffer

View File

@@ -0,0 +1,18 @@
# If necessary, use the RELATIVE flag, otherwise each source file may be listed
# with full pathname. RELATIVE may makes it easier to extract an executable name
# automatically.
file( GLOB APP_SOURCES RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} *.cpp )
# file( GLOB APP_SOURCES ${CMAKE_SOURCE_DIR}/*.c )
# AUX_SOURCE_DIRECTORY(${CMAKE_CURRENT_SOURCE_DIR} APP_SOURCES)
foreach( testsourcefile ${APP_SOURCES} )
# I used a simple string replace, to cut off .cpp.
string( REPLACE ".cpp" "" testname ${testsourcefile} )
add_executable( ${testname} ${testsourcefile} )
set_target_properties(${testname} PROPERTIES LINKER_LANGUAGE CXX)
if(OpenMP_CXX_FOUND)
target_link_libraries(${testname} OpenMP::OpenMP_CXX)
endif()
install(TARGETS ${testname} DESTINATION "bin/range_queries")
endforeach( testsourcefile ${APP_SOURCES} )

View File

@@ -1,4 +1,7 @@
#include <algorithm>
#include <cmath>
#include <iostream>
using namespace std;
const int N = 1e6 + 5;
int a[N], bucket[N], cnt[N];

View File

@@ -21,6 +21,7 @@
#include <cassert> /// for assert
#include <cmath> /// for log2
#include <cstdint> /// for std::uint64_t
#include <iostream> /// for IO operations
#include <vector> /// for std::vector