From c0f018bd798a50b443cf990f4f2f2546f3319a76 Mon Sep 17 00:00:00 2001 From: nirmay0503 <19ucs061@lnmiit.ac.in> Date: Wed, 23 Oct 2019 00:06:21 +0530 Subject: [PATCH 01/79] I added algorithm for jump search !! --- Search/jump_search.cpp | 54 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 54 insertions(+) create mode 100644 Search/jump_search.cpp diff --git a/Search/jump_search.cpp b/Search/jump_search.cpp new file mode 100644 index 000000000..0ee7e4e00 --- /dev/null +++ b/Search/jump_search.cpp @@ -0,0 +1,54 @@ +// C++ program to implement Jump Search + +#include +using namespace std; + +int jumpSearch(int arr[], int x, int n) +{ + // Finding block size to be jumped + int step = sqrt(n); + + // Finding the block where element is + // present (if it is present) + int prev = 0; + while (arr[min(step, n)-1] < x) + { + prev = step; + step += sqrt(n); + if (prev >= n) + return -1; + } + + // Doing a linear search for x in block + // beginning with prev. + while (arr[prev] < x) + { + prev++; + + // If we reached next block or end of + // array, element is not present. + if (prev == min(step, n)) + return -1; + } + // If element is found + if (arr[prev] == x) + return prev; + + return -1; +} + +// Driver program to test function +int main() +{ + int arr[] = { 0, 1, 1, 2, 3, 5, 8, 13, 21, + 34, 55, 89, 144, 233, 377, 610 }; + int x = 55; + int n = sizeof(arr) / sizeof(arr[0]); + + // Find the index of 'x' using Jump Search + int index = jumpSearch(arr, x, n); + + // Print the index where 'x' is located + cout << "\nNumber " << x << " is at index " << index; + return 0; +} From 61664e9639bfa05ca7c1646224ed3b663876eadf Mon Sep 17 00:00:00 2001 From: nirmay0503 <19ucs061@lnmiit.ac.in> Date: Wed, 23 Oct 2019 20:14:43 +0530 Subject: [PATCH 02/79] I added algorithm to find factorial of a number --- Math/factorial.cpp | 18 ++++++++++++++++++ Math/factorial.exe | Bin 0 -> 1564138 bytes Math/factorial.o | Bin 0 -> 1687 bytes 3 files changed, 18 insertions(+) create mode 100644 Math/factorial.cpp create mode 100644 Math/factorial.exe create mode 100644 Math/factorial.o diff --git a/Math/factorial.cpp b/Math/factorial.cpp new file mode 100644 index 000000000..49748fb42 --- /dev/null +++ b/Math/factorial.cpp @@ -0,0 +1,18 @@ +#include +using namespace std; + +int main() +{ + int n; + cout<<"Enter number = "; + cin>>n; + int num=1; + for(int i=1;i Date: Fri, 24 Apr 2020 21:01:14 +0300 Subject: [PATCH 04/79] Create double_factorial Calculates the double factorial of an integer --- math/double_factorial | 30 ++++++++++++++++++++++++++++++ 1 file changed, 30 insertions(+) create mode 100644 math/double_factorial diff --git a/math/double_factorial b/math/double_factorial new file mode 100644 index 000000000..5f41337f2 --- /dev/null +++ b/math/double_factorial @@ -0,0 +1,30 @@ +#include +#include + +/* Double factorial of a non-negative integer n, +is defined as the product of all the integers from 1 to n +that have the same parity (odd or even) as n. +It is also called as semifactorial of a number and is denoted by !! */ + +unsigned long long double_factorial_iterative(unsigned int n){ + unsigned long long res = 1; + for(unsigned long long i = n; i >= 0; i -= 2){ + if(i == 0 || i == 1) return res; + res *= i; + } +} + +/* Recursion can be costly for large numbers */ + +unsigned long long double_factorial_recursive(unsigned int n){ + if(n <= 1) return 1; + return n * double_factorial_recursive(n - 2); +} + +int main() +{ + int n{}; + std::cin >> n; + assert(n >= 0); + std::cout << double_factorial_iterative(n); +} From e4504d641b288a602c308d9fa77af549e8551e5f Mon Sep 17 00:00:00 2001 From: DarkWarrior703 <56077342+DarkWarrior703@users.noreply.github.com> Date: Sat, 25 Apr 2020 16:18:32 +0300 Subject: [PATCH 05/79] Rename double_factorial to double_factorial.cpp --- math/{double_factorial => double_factorial.cpp} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename math/{double_factorial => double_factorial.cpp} (100%) diff --git a/math/double_factorial b/math/double_factorial.cpp similarity index 100% rename from math/double_factorial rename to math/double_factorial.cpp From e6874e4d18bced2ad2374edc9b0afe6ea607454f Mon Sep 17 00:00:00 2001 From: DarkWarrior703 <56077342+DarkWarrior703@users.noreply.github.com> Date: Sat, 25 Apr 2020 22:28:20 +0300 Subject: [PATCH 06/79] Update double_factorial.cpp --- math/double_factorial.cpp | 8 +++++--- 1 file changed, 5 insertions(+), 3 deletions(-) diff --git a/math/double_factorial.cpp b/math/double_factorial.cpp index 5f41337f2..3dd3e4a31 100644 --- a/math/double_factorial.cpp +++ b/math/double_factorial.cpp @@ -2,13 +2,15 @@ #include /* Double factorial of a non-negative integer n, -is defined as the product of all the integers from 1 to n +is defined as the product of +all the integers from 1 to n that have the same parity (odd or even) as n. -It is also called as semifactorial of a number and is denoted by !! */ +It is also called as semifactorial +of a number and is denoted by !! */ unsigned long long double_factorial_iterative(unsigned int n){ unsigned long long res = 1; - for(unsigned long long i = n; i >= 0; i -= 2){ + for( unsigned long long i = n; i >= 0; i -= 2 ){ if(i == 0 || i == 1) return res; res *= i; } From 9fef832f5749f09bcb055f31efa9dcd8f45cea03 Mon Sep 17 00:00:00 2001 From: DarkWarrior703 <56077342+DarkWarrior703@users.noreply.github.com> Date: Sat, 25 Apr 2020 22:34:44 +0300 Subject: [PATCH 07/79] Update double_factorial.cpp --- math/double_factorial.cpp | 13 ++++++------- 1 file changed, 6 insertions(+), 7 deletions(-) diff --git a/math/double_factorial.cpp b/math/double_factorial.cpp index 3dd3e4a31..8a918cde2 100644 --- a/math/double_factorial.cpp +++ b/math/double_factorial.cpp @@ -8,23 +8,22 @@ that have the same parity (odd or even) as n. It is also called as semifactorial of a number and is denoted by !! */ -unsigned long long double_factorial_iterative(unsigned int n){ +uint64_t double_factorial_iterative(unsigned int n){ unsigned long long res = 1; - for( unsigned long long i = n; i >= 0; i -= 2 ){ - if(i == 0 || i == 1) return res; + for ( unsigned long long i = n; i >= 0; i -= 2 ) { + if (i == 0 || i == 1) return res; res *= i; } } /* Recursion can be costly for large numbers */ -unsigned long long double_factorial_recursive(unsigned int n){ - if(n <= 1) return 1; +uint64_t double_factorial_recursive(unsigned int n){ + if (n <= 1) return 1; return n * double_factorial_recursive(n - 2); } -int main() -{ +int main() { int n{}; std::cin >> n; assert(n >= 0); From b4034871420aa7dfdc7e9228f7c663659f3e245b Mon Sep 17 00:00:00 2001 From: DarkWarrior703 <56077342+DarkWarrior703@users.noreply.github.com> Date: Sat, 25 Apr 2020 22:37:50 +0300 Subject: [PATCH 08/79] Update double_factorial.cpp --- math/double_factorial.cpp | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/math/double_factorial.cpp b/math/double_factorial.cpp index 8a918cde2..6b9ff6500 100644 --- a/math/double_factorial.cpp +++ b/math/double_factorial.cpp @@ -8,8 +8,8 @@ that have the same parity (odd or even) as n. It is also called as semifactorial of a number and is denoted by !! */ -uint64_t double_factorial_iterative(unsigned int n){ - unsigned long long res = 1; +uint64_t double_factorial_iterative(uint64_t n) { + uint64_t res = 1; for ( unsigned long long i = n; i >= 0; i -= 2 ) { if (i == 0 || i == 1) return res; res *= i; @@ -18,13 +18,13 @@ uint64_t double_factorial_iterative(unsigned int n){ /* Recursion can be costly for large numbers */ -uint64_t double_factorial_recursive(unsigned int n){ +uint64_t double_factorial_recursive(uint64_t n) { if (n <= 1) return 1; return n * double_factorial_recursive(n - 2); } int main() { - int n{}; + uint64_t n{}; std::cin >> n; assert(n >= 0); std::cout << double_factorial_iterative(n); From 2aaba721fb5ae6c973b586aaec0b05bfbb722077 Mon Sep 17 00:00:00 2001 From: DarkWarrior703 <56077342+DarkWarrior703@users.noreply.github.com> Date: Sat, 25 Apr 2020 22:38:53 +0300 Subject: [PATCH 09/79] Update double_factorial.cpp --- math/double_factorial.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/math/double_factorial.cpp b/math/double_factorial.cpp index 6b9ff6500..1b09bebb4 100644 --- a/math/double_factorial.cpp +++ b/math/double_factorial.cpp @@ -10,7 +10,7 @@ of a number and is denoted by !! */ uint64_t double_factorial_iterative(uint64_t n) { uint64_t res = 1; - for ( unsigned long long i = n; i >= 0; i -= 2 ) { + for ( uint64_t i = n; i >= 0; i -= 2 ) { if (i == 0 || i == 1) return res; res *= i; } From c4f3f915f874dd66f19edec04b95e59d237a0a2d Mon Sep 17 00:00:00 2001 From: Christian Clauss Date: Sun, 26 Apr 2020 08:41:22 +0200 Subject: [PATCH 10/79] Update double_factorial.cpp --- math/double_factorial.cpp | 9 +++------ 1 file changed, 3 insertions(+), 6 deletions(-) diff --git a/math/double_factorial.cpp b/math/double_factorial.cpp index 1b09bebb4..7b0d1d970 100644 --- a/math/double_factorial.cpp +++ b/math/double_factorial.cpp @@ -1,12 +1,9 @@ #include #include -/* Double factorial of a non-negative integer n, -is defined as the product of -all the integers from 1 to n -that have the same parity (odd or even) as n. -It is also called as semifactorial -of a number and is denoted by !! */ +/* Double factorial of a non-negative integer n, is defined as the product of +all the integers from 1 to n that have the same parity (odd or even) as n. +It is also called as semifactorial of a number and is denoted by !! */ uint64_t double_factorial_iterative(uint64_t n) { uint64_t res = 1; From 5dbd45a3f08e59e7973fe2ae8f6bc3de77b7e73d Mon Sep 17 00:00:00 2001 From: Faizan Ahamed Date: Sun, 26 Apr 2020 14:18:01 +0530 Subject: [PATCH 11/79] error in line 23 i.e a constant value in line 23. int a[n]; give error while running i.e. expression must have a constant value. so, rectifying this we can use pointer. int* a = new int[n]; --- search/Binary Search.cpp | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/search/Binary Search.cpp b/search/Binary Search.cpp index 2e90855e8..83c99926a 100644 --- a/search/Binary Search.cpp +++ b/search/Binary Search.cpp @@ -20,7 +20,13 @@ int main(int argc, char const *argv[]) cout << "Enter size of array: "; cin >> n; cout << "Enter array elements: "; + /* int a[n]; + getting error size must be declare + so for rectifying this use pointer. + int a[n]; replace by int* a = new int[n]; + */ + int* a = new int[n]; for (int i = 0; i < n; ++i) { cin >> a[i]; @@ -33,4 +39,4 @@ int main(int argc, char const *argv[]) else cout << key << " not found" << endl; return 0; -} \ No newline at end of file +} From 1eef89591e4bbe4f06ecd2cf0b7a506e8550ea73 Mon Sep 17 00:00:00 2001 From: Faizan Ahamed Date: Sun, 26 Apr 2020 14:37:59 +0530 Subject: [PATCH 12/79] Update Binary Search.cpp --- search/Binary Search.cpp | 19 ++++--------------- 1 file changed, 4 insertions(+), 15 deletions(-) diff --git a/search/Binary Search.cpp b/search/Binary Search.cpp index 83c99926a..7edf7b696 100644 --- a/search/Binary Search.cpp +++ b/search/Binary Search.cpp @@ -1,9 +1,6 @@ #include -using namespace std; -int binary_search(int a[], int l, int r, int key) -{ - while (l <= r) - { +int binary_search(int a[], int l, int r, int key) { + while (l <= r) { int m = l + (r - l) / 2; if (key == a[m]) return m; @@ -14,21 +11,13 @@ int binary_search(int a[], int l, int r, int key) } return -1; } -int main(int argc, char const *argv[]) -{ +int main(int argc, char const *argv[]) { int n, key; cout << "Enter size of array: "; cin >> n; cout << "Enter array elements: "; - /* - int a[n]; - getting error size must be declare - so for rectifying this use pointer. - int a[n]; replace by int* a = new int[n]; - */ int* a = new int[n]; - for (int i = 0; i < n; ++i) - { + for (int i = 0; i < n; i++) { cin >> a[i]; } cout << "Enter search key: "; From 2f6208532bc12a462c708d2194fc44429a75e7d1 Mon Sep 17 00:00:00 2001 From: Faizan Ahamed Date: Sun, 26 Apr 2020 14:42:55 +0530 Subject: [PATCH 13/79] Update Binary Search.cpp --- search/Binary Search.cpp | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/search/Binary Search.cpp b/search/Binary Search.cpp index 7edf7b696..8c28611d9 100644 --- a/search/Binary Search.cpp +++ b/search/Binary Search.cpp @@ -13,19 +13,19 @@ int binary_search(int a[], int l, int r, int key) { } int main(int argc, char const *argv[]) { int n, key; - cout << "Enter size of array: "; - cin >> n; - cout << "Enter array elements: "; + std::cout << "Enter size of array: "; + std::cin >> n; + std::cout << "Enter array elements: "; int* a = new int[n]; for (int i = 0; i < n; i++) { - cin >> a[i]; + std::cin >> a[i]; } - cout << "Enter search key: "; - cin >> key; + std::cout << "Enter search key: "; + std::cin >> key; int res = binary_search(a, 0, n - 1, key); if (res != -1) - cout << key << " found at index " << res << endl; + std::cout << key << " found at index " << res << endl; else - cout << key << " not found" << endl; + std::cout << key << " not found" << endl; return 0; } From 9543e522f2e7b4f51c1aab81193a1cc76e487dd6 Mon Sep 17 00:00:00 2001 From: Faizan Ahamed Date: Sun, 26 Apr 2020 14:46:20 +0530 Subject: [PATCH 14/79] Update Binary Search.cpp --- search/Binary Search.cpp | 52 ++++++++++++++++++++-------------------- 1 file changed, 26 insertions(+), 26 deletions(-) diff --git a/search/Binary Search.cpp b/search/Binary Search.cpp index 8c28611d9..dc46b5e02 100644 --- a/search/Binary Search.cpp +++ b/search/Binary Search.cpp @@ -1,31 +1,31 @@ #include int binary_search(int a[], int l, int r, int key) { - while (l <= r) { - int m = l + (r - l) / 2; - if (key == a[m]) - return m; - else if (key < a[m]) - r = m - 1; - else - l = m + 1; - } - return -1; +while (l <= r) { +int m = l + (r - l) / 2; +if (key == a[m]) +return m; +else if (key < a[m]) +r = m - 1; +else +l = m + 1; +} +return -1; } int main(int argc, char const *argv[]) { - int n, key; - std::cout << "Enter size of array: "; - std::cin >> n; - std::cout << "Enter array elements: "; - int* a = new int[n]; - for (int i = 0; i < n; i++) { - std::cin >> a[i]; - } - std::cout << "Enter search key: "; - std::cin >> key; - int res = binary_search(a, 0, n - 1, key); - if (res != -1) - std::cout << key << " found at index " << res << endl; - else - std::cout << key << " not found" << endl; - return 0; +int n, key; +std::cout << "Enter size of array: "; +std::cin >> n; +std::cout << "Enter array elements: "; +int* a = new int[n]; +for (int i = 0; i < n; i++) { +std::cin >> a[i]; +} +std::cout << "Enter search key: "; +std::cin >> key; +int res = binary_search(a, 0, n - 1, key); +if (res != -1) +std::cout << key << " found at index " << res << endl; +else +std::cout << key << " not found" << endl; +return 0; } From dd09663ece4b12e4191f9c5b1984080c884e87cf Mon Sep 17 00:00:00 2001 From: Faizan Ahamed Date: Sun, 26 Apr 2020 14:49:01 +0530 Subject: [PATCH 15/79] Update Binary Search.cpp --- search/Binary Search.cpp | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/search/Binary Search.cpp b/search/Binary Search.cpp index dc46b5e02..71e7c2bd0 100644 --- a/search/Binary Search.cpp +++ b/search/Binary Search.cpp @@ -11,7 +11,7 @@ l = m + 1; } return -1; } -int main(int argc, char const *argv[]) { +int main() { int n, key; std::cout << "Enter size of array: "; std::cin >> n; @@ -24,7 +24,7 @@ std::cout << "Enter search key: "; std::cin >> key; int res = binary_search(a, 0, n - 1, key); if (res != -1) -std::cout << key << " found at index " << res << endl; +std::cout << key << " found at index " << res << std::endl; else std::cout << key << " not found" << endl; return 0; From 6616ae320ba1bb60d6bff2f4e3be293d9294a1d6 Mon Sep 17 00:00:00 2001 From: Faizan Ahamed Date: Sun, 26 Apr 2020 14:54:26 +0530 Subject: [PATCH 16/79] Update Binary Search.cpp --- search/Binary Search.cpp | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/search/Binary Search.cpp b/search/Binary Search.cpp index 71e7c2bd0..17ce0df5a 100644 --- a/search/Binary Search.cpp +++ b/search/Binary Search.cpp @@ -11,7 +11,7 @@ l = m + 1; } return -1; } -int main() { +int main(int argc, char const* argv[]) { int n, key; std::cout << "Enter size of array: "; std::cin >> n; @@ -26,6 +26,6 @@ int res = binary_search(a, 0, n - 1, key); if (res != -1) std::cout << key << " found at index " << res << std::endl; else -std::cout << key << " not found" << endl; +std::cout << key << " not found" << endl::endl; return 0; } From 9813693baabbee61492ca3b400172d529da1b5e2 Mon Sep 17 00:00:00 2001 From: Faizan Ahamed Date: Sun, 26 Apr 2020 14:56:30 +0530 Subject: [PATCH 17/79] Update Binary Search.cpp --- search/Binary Search.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/search/Binary Search.cpp b/search/Binary Search.cpp index 17ce0df5a..8fc28e97b 100644 --- a/search/Binary Search.cpp +++ b/search/Binary Search.cpp @@ -26,6 +26,6 @@ int res = binary_search(a, 0, n - 1, key); if (res != -1) std::cout << key << " found at index " << res << std::endl; else -std::cout << key << " not found" << endl::endl; +std::cout << key << " not found" << std::endl; return 0; } From cd7105afcf8f0e021d2870995a13ef57acf41d84 Mon Sep 17 00:00:00 2001 From: Faizan Ahamed Date: Sun, 26 Apr 2020 14:57:59 +0530 Subject: [PATCH 18/79] Rename Binary Search.cpp to binary_search.cpp --- search/{Binary Search.cpp => binary_search.cpp} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename search/{Binary Search.cpp => binary_search.cpp} (100%) diff --git a/search/Binary Search.cpp b/search/binary_search.cpp similarity index 100% rename from search/Binary Search.cpp rename to search/binary_search.cpp From b8a6a6470f90561111b9a5e68097569e352e432e Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Sun, 26 Apr 2020 09:28:13 +0000 Subject: [PATCH 19/79] updating DIRECTORY.md --- DIRECTORY.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/DIRECTORY.md b/DIRECTORY.md index f7fb6e9b7..23d2ee377 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -149,7 +149,7 @@ * [Segtree](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/range_queries/segTree.cpp) ## Search - * [Binary Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/Binary%20Search.cpp) + * [Binary Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/binary_search.cpp) * [Exponential Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/exponential_search.cpp) * [Hash Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/hash_search.cpp) * [Interpolation Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/Interpolation%20Search.cpp) From 6030965310d3784162aff53ffd2e91933971eb8e Mon Sep 17 00:00:00 2001 From: Dylan Robertson <31269647+RobotRage@users.noreply.github.com> Date: Mon, 27 Apr 2020 10:19:21 +1000 Subject: [PATCH 20/79] feat: created bayes_theorem.cpp --- probability/bayes_theorem.cpp | 34 ++++++++++++++++++++++++++++++++++ 1 file changed, 34 insertions(+) create mode 100644 probability/bayes_theorem.cpp diff --git a/probability/bayes_theorem.cpp b/probability/bayes_theorem.cpp new file mode 100644 index 000000000..44bac77ba --- /dev/null +++ b/probability/bayes_theorem.cpp @@ -0,0 +1,34 @@ +#include + +// bayes' theorem > https://en.wikipedia.org/wiki/Bayes%27_theorem + +// bayes' theorem allows one to find P(A|B) given P(B|A) +// or P(B|A) given P(A|B) and P(A) and P(B) + +// note P(A|B) is read 'The probability of A given that the event B has occured' + +// returns P(A|B) + +double bayes_AgivenB(double BgivenA, double A, double B) { + return (BgivenA * A) / B; +} + +// returns P(B|A) + +double bayes_BgivenA(double AgivenB, double A, double B) { + return (AgivenB * B) / A; +} + +int main() { + double A = 0.01; + double B = 0.1; + double BgivenA = 0.9; + + double AgivenB = bayes_AgivenB(BgivenA, A, B); + + + std::cout << "A given B = " << AgivenB << std::endl; + std::cout << "B given A = " << bayes_BgivenA(AgivenB, A, B) << std::endl; + + return 0; +} From 547a4a9ed3479f44a27690fd3e7931c3042aee8e Mon Sep 17 00:00:00 2001 From: Dylan Robertson <31269647+RobotRage@users.noreply.github.com> Date: Mon, 27 Apr 2020 12:50:13 +1000 Subject: [PATCH 21/79] feat: added binomial_dist.cpp --- probability/binomial_dist.cpp | 81 +++++++++++++++++++++++++++++++++++ 1 file changed, 81 insertions(+) create mode 100644 probability/binomial_dist.cpp diff --git a/probability/binomial_dist.cpp b/probability/binomial_dist.cpp new file mode 100644 index 000000000..b21a3e0fc --- /dev/null +++ b/probability/binomial_dist.cpp @@ -0,0 +1,81 @@ +#include +#include + +// the binomial distribution models the number of +// successes in a sequence of n independent events + +// n : number of trials +// p : probability of success +// x : desired successes + +// finds the expected value of a binomial distribution + +double binomial_expected(double n, double p) { + return n * p; +} + +// finds the variance of the binomial distribution + +double binomial_variance(double n, double p) { + return n * p * (1 - p); +} + +// finds the standard deviation of the binomial distribution + +double binomial_standard_deviation(double n, double p) { + return sqrt(binomial_variance(n, p)); +} + +// Computes n choose r +// n being the trials and r being the desired successes + +double nCr(double n, double r) { + double numerator = n; + double denominator = r; + + for (int i = n - 1 ; i >= ((n - r) + 1); i--) { + numerator *= i; + } + + for (int i = 1; i < r ; i++) { + denominator *= i; + } + + return numerator / denominator; +} + +// calculates the probability of exactly x successes + +double binomial_x_successes(double n, double p, double x) { + return nCr(n, x) * pow(p, x) * pow(1-p, n-x); +} + +// calculates the probability of a result within a range (inclusive, inclusive) + +double binomial_range_successes( + double n, double p, double lower_bound, double upper_bound) { + double probability = 0; + for (int i = lower_bound; i <= upper_bound; i++) { + probability += nCr(n, i) * pow(p, i) * pow(1 - p, n - i); + } + return probability; +} + +int main() { + std::cout << "expected value : " + < Date: Mon, 27 Apr 2020 10:21:11 +0530 Subject: [PATCH 22/79] Update binary_search.cpp --- search/binary_search.cpp | 57 +++++++++++++++++++++------------------- 1 file changed, 30 insertions(+), 27 deletions(-) diff --git a/search/binary_search.cpp b/search/binary_search.cpp index 8fc28e97b..0c78733b0 100644 --- a/search/binary_search.cpp +++ b/search/binary_search.cpp @@ -1,31 +1,34 @@ #include +//binary_search function int binary_search(int a[], int l, int r, int key) { -while (l <= r) { -int m = l + (r - l) / 2; -if (key == a[m]) -return m; -else if (key < a[m]) -r = m - 1; -else -l = m + 1; -} -return -1; -} + while (l <= r) { + int m = l + (r - l) / 2; + if (key == a[m]) + return m; + else if (key < a[m]) + r = m - 1; + else + l = m + 1; + } + return -1; + } int main(int argc, char const* argv[]) { -int n, key; -std::cout << "Enter size of array: "; -std::cin >> n; -std::cout << "Enter array elements: "; -int* a = new int[n]; -for (int i = 0; i < n; i++) { -std::cin >> a[i]; -} -std::cout << "Enter search key: "; -std::cin >> key; -int res = binary_search(a, 0, n - 1, key); -if (res != -1) -std::cout << key << " found at index " << res << std::endl; -else -std::cout << key << " not found" << std::endl; -return 0; + int n, key; + std::cout << "Enter size of array: "; + std::cin >> n; + std::cout << "Enter array elements: "; + int* a = new int[n]; +//this loop use for store value in Array + for (int i = 0; i < n; i++) { + std::cin >> a[i]; + } + std::cout << "Enter search key: "; + std::cin >> key; +//this is use for find value in given array + int res = binary_search(a, 0, n - 1, key); + if (res != -1) + std::cout << key << " found at index " << res << std::endl; + else + std::cout << key << " not found" << std::endl; + return 0; } From 948348a4d8e6d429c0b6fd32fecf54d9f5b0456f Mon Sep 17 00:00:00 2001 From: Faizan Ahamed Date: Mon, 27 Apr 2020 10:22:30 +0530 Subject: [PATCH 23/79] Update binary_search.cpp --- search/binary_search.cpp | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/search/binary_search.cpp b/search/binary_search.cpp index 0c78733b0..9933c9816 100644 --- a/search/binary_search.cpp +++ b/search/binary_search.cpp @@ -1,5 +1,5 @@ #include -//binary_search function +// binary_search function int binary_search(int a[], int l, int r, int key) { while (l <= r) { int m = l + (r - l) / 2; @@ -18,13 +18,13 @@ int main(int argc, char const* argv[]) { std::cin >> n; std::cout << "Enter array elements: "; int* a = new int[n]; -//this loop use for store value in Array +// this loop use for store value in Array for (int i = 0; i < n; i++) { std::cin >> a[i]; } std::cout << "Enter search key: "; std::cin >> key; -//this is use for find value in given array +// this is use for find value in given array int res = binary_search(a, 0, n - 1, key); if (res != -1) std::cout << key << " found at index " << res << std::endl; From b691536ea93fe5ec8eac3d95d7433693c892884b Mon Sep 17 00:00:00 2001 From: Dylan Robertson <31269647+RobotRage@users.noreply.github.com> Date: Mon, 27 Apr 2020 17:31:44 +1000 Subject: [PATCH 24/79] spacing Co-Authored-By: Christian Clauss --- probability/bayes_theorem.cpp | 4 ---- 1 file changed, 4 deletions(-) diff --git a/probability/bayes_theorem.cpp b/probability/bayes_theorem.cpp index 44bac77ba..d30be6c9a 100644 --- a/probability/bayes_theorem.cpp +++ b/probability/bayes_theorem.cpp @@ -23,12 +23,8 @@ int main() { double A = 0.01; double B = 0.1; double BgivenA = 0.9; - double AgivenB = bayes_AgivenB(BgivenA, A, B); - - std::cout << "A given B = " << AgivenB << std::endl; std::cout << "B given A = " << bayes_BgivenA(AgivenB, A, B) << std::endl; - return 0; } From a83e44ea6c6b5c2e979ffcb9b4c1c8aa2a942c55 Mon Sep 17 00:00:00 2001 From: Sombit Bose Date: Wed, 29 Apr 2020 22:11:47 +0530 Subject: [PATCH 25/79] Create n_queens_all_solution_optimised.cpp --- .../n_queens_all_solution_optimised.cpp | 86 +++++++++++++++++++ 1 file changed, 86 insertions(+) create mode 100644 backtracking/n_queens_all_solution_optimised.cpp diff --git a/backtracking/n_queens_all_solution_optimised.cpp b/backtracking/n_queens_all_solution_optimised.cpp new file mode 100644 index 000000000..f8da31c4f --- /dev/null +++ b/backtracking/n_queens_all_solution_optimised.cpp @@ -0,0 +1,86 @@ +#include +#define n 4 +#define inc_loop(var,start,stop,step) for(int var=start;var<=stop;var+=step) +#define dec_loop(var,start,stop,step) for(int var=start;var>=stop;var-=step) + +void PrintSol(int Board[n][n]) +{ + inc_loop(i,0,n-1,1) + { + inc_loop(j,0,n-1,1) + std::cout << Board[i][j] << " "; + std::cout << std::endl; + } + std::cout << std::endl; + if (n%2==0 || (n%2==1 && Board[n/2+1][0]!=1)) + { + inc_loop(i,0,n-1,1) + { + dec_loop(j,n-1,0,1) + std::cout<= 0 && j >= 0; i--, j--) { + if (Board[i][j] == 1) + return false; + } + /// check the second diagonal + for (int i = row, j = col; i <= n - 1 && j >= 0; i++, j--) { + if (Board[i][j] == 1) + return false; + } + return true; +} + +void NQueenSol(int Board[n][n], int col) { + if (col >= n) { + PrintSol(Board); + return; + } + inc_loop(i,0,n-1,1) + { + if (CanIMove(Board, i, col)) { + Board[i][col] = 1; + NQueenSol(Board, col + 1); + Board[i][col] = 0; + } + } +} + +int main() { + int Board[n][n] = {0}; + if (n%2==0) + { + inc_loop(i,0,n/2-1,1) + { + if (CanIMove(Board, i, 0)) { + Board[i][0] = 1; + NQueenSol(Board,1); + Board[i][0] = 0; + } + } + } + else + { + inc_loop(i,0,n/2,1) + { + if (CanIMove(Board, i,0)) { + Board[i][0] = 1; + NQueenSol(Board,1); + Board[i][0] = 0; + } + } + } + return 0; +} From b8bcd82c2661cfb1bacd7c4e8e3fe87840cadb28 Mon Sep 17 00:00:00 2001 From: Sombit Bose Date: Wed, 29 Apr 2020 22:39:35 +0530 Subject: [PATCH 26/79] update --- backtracking/n_queens_all_solution_optimised.cpp | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/backtracking/n_queens_all_solution_optimised.cpp b/backtracking/n_queens_all_solution_optimised.cpp index f8da31c4f..62226cd3f 100644 --- a/backtracking/n_queens_all_solution_optimised.cpp +++ b/backtracking/n_queens_all_solution_optimised.cpp @@ -1,7 +1,7 @@ #include #define n 4 -#define inc_loop(var,start,stop,step) for(int var=start;var<=stop;var+=step) -#define dec_loop(var,start,stop,step) for(int var=start;var>=stop;var-=step) +#define inc_loop(var, start, stop, step) for (int var=start; var <= stop; var+=step) +#define dec_loop(var, start, stop, step) for (int var=start; var >= stop; var-=step) void PrintSol(int Board[n][n]) { From c76eb387ac022f79c24f813703d054d8778454fe Mon Sep 17 00:00:00 2001 From: Sombit Bose Date: Wed, 29 Apr 2020 22:42:56 +0530 Subject: [PATCH 27/79] update --- .../n_queens_all_solution_optimised.cpp | 28 ++++++------------- 1 file changed, 9 insertions(+), 19 deletions(-) diff --git a/backtracking/n_queens_all_solution_optimised.cpp b/backtracking/n_queens_all_solution_optimised.cpp index 62226cd3f..40056100d 100644 --- a/backtracking/n_queens_all_solution_optimised.cpp +++ b/backtracking/n_queens_all_solution_optimised.cpp @@ -2,20 +2,15 @@ #define n 4 #define inc_loop(var, start, stop, step) for (int var=start; var <= stop; var+=step) #define dec_loop(var, start, stop, step) for (int var=start; var >= stop; var-=step) - -void PrintSol(int Board[n][n]) -{ - inc_loop(i,0,n-1,1) - { +void PrintSol(int Board[n][n]) { + inc_loop(i,0,n-1,1) { inc_loop(j,0,n-1,1) std::cout << Board[i][j] << " "; std::cout << std::endl; } std::cout << std::endl; - if (n%2==0 || (n%2==1 && Board[n/2+1][0]!=1)) - { - inc_loop(i,0,n-1,1) - { + if (n%2==0 || (n%2==1 && Board[n/2+1][0]!=1)){ + inc_loop(i,0,n-1,1){ dec_loop(j,n-1,0,1) std::cout< Date: Wed, 29 Apr 2020 22:49:20 +0530 Subject: [PATCH 28/79] update --- .../n_queens_all_solution_optimised.cpp | 37 +++++++++---------- 1 file changed, 18 insertions(+), 19 deletions(-) diff --git a/backtracking/n_queens_all_solution_optimised.cpp b/backtracking/n_queens_all_solution_optimised.cpp index 40056100d..2c1e4a84a 100644 --- a/backtracking/n_queens_all_solution_optimised.cpp +++ b/backtracking/n_queens_all_solution_optimised.cpp @@ -1,27 +1,27 @@ #include #define n 4 -#define inc_loop(var, start, stop, step) for (int var=start; var <= stop; var+=step) -#define dec_loop(var, start, stop, step) for (int var=start; var >= stop; var-=step) +#define inc_loop(var, start, stop) for (int var=start; var <= stop; var++) +#define dec_loop(var, start, stop) for (int var=start; var >= stop; var--) void PrintSol(int Board[n][n]) { - inc_loop(i,0,n-1,1) { - inc_loop(j,0,n-1,1) + inc_loop(i,0,n-1) { + inc_loop(j,0,n-1) std::cout << Board[i][j] << " "; std::cout << std::endl; } std::cout << std::endl; - if (n%2==0 || (n%2==1 && Board[n/2+1][0]!=1)){ - inc_loop(i,0,n-1,1){ - dec_loop(j,n-1,0,1) - std::cout< Date: Wed, 29 Apr 2020 22:52:44 +0530 Subject: [PATCH 29/79] update --- backtracking/n_queens_all_solution_optimised.cpp | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/backtracking/n_queens_all_solution_optimised.cpp b/backtracking/n_queens_all_solution_optimised.cpp index 2c1e4a84a..1db730f63 100644 --- a/backtracking/n_queens_all_solution_optimised.cpp +++ b/backtracking/n_queens_all_solution_optimised.cpp @@ -3,15 +3,15 @@ #define inc_loop(var, start, stop) for (int var=start; var <= stop; var++) #define dec_loop(var, start, stop) for (int var=start; var >= stop; var--) void PrintSol(int Board[n][n]) { - inc_loop(i,0,n-1) { - inc_loop(j,0,n-1) + inc_loop(i, 0, n-1) { + inc_loop(j, 0, n-1) std::cout << Board[i][j] << " "; std::cout << std::endl; } std::cout << std::endl; - if (n%2 == 0 || (n%2 == 1 && Board[n/2+1][0] != 1)){ - inc_loop(i,0,n-1){ - dec_loop(j,n-1,0) + if (n%2 == 0 || (n%2 == 1 && Board[n/2+1][0] != 1)) { + inc_loop(i, 0, n-1) { + dec_loop(j, n-1, 0) std::cout << Board[i][j] << " "; std::cout << std::endl; } @@ -21,7 +21,7 @@ void PrintSol(int Board[n][n]) { bool CanIMove(int Board[n][n], int row, int col) { /// check in the row - inc_loop (i, 0, col-1) { + inc_loop(i, 0, col-1) { if (Board[row][i] == 1) return false; } @@ -43,7 +43,7 @@ void NQueenSol(int Board[n][n], int col) { PrintSol(Board); return; } - inc_loop(i,0,n-1,1) { + inc_loop(i, 0, n-1) { if (CanIMove(Board, i, col)) { Board[i][col] = 1; NQueenSol(Board, col + 1); From ebc5ba42d17805554bdcc0668bb9c12410eade76 Mon Sep 17 00:00:00 2001 From: Krishna Vedala Date: Mon, 4 May 2020 10:51:03 -0400 Subject: [PATCH 30/79] linear regression fir using ordinary least squares --- .../ordinary_least_squares_regressor.cpp | 340 ++++++++++++++++++ 1 file changed, 340 insertions(+) create mode 100644 computer_oriented_statistical_methods/ordinary_least_squares_regressor.cpp diff --git a/computer_oriented_statistical_methods/ordinary_least_squares_regressor.cpp b/computer_oriented_statistical_methods/ordinary_least_squares_regressor.cpp new file mode 100644 index 000000000..3ab35610a --- /dev/null +++ b/computer_oriented_statistical_methods/ordinary_least_squares_regressor.cpp @@ -0,0 +1,340 @@ +#include +#include +#include +using namespace std; + +template +ostream &operator<<(ostream &out, vector> const &v) +{ + const int width = 10; + const char separator = ' '; + + for (size_t row = 0; row < v.size(); row++) + { + for (size_t col = 0; col < v[row].size(); col++) + out + << left << setw(width) << setfill(separator) << v[row][col]; + out << endl; + } + + return out; +} + +template +ostream &operator<<(ostream &out, vector const &v) +{ + const int width = 15; + const char separator = ' '; + + for (size_t row = 0; row < v.size(); row++) + out + << left << setw(width) << setfill(separator) << v[row]; + + return out; +} + +template +inline bool is_square(vector> const &A) +{ + size_t N = A.size(); // Assuming A is square matrix + for (size_t i = 0; i < N; i++) + if (A[i].size() != N) + return false; + return true; +} + +/** + * matrix multiplication + **/ +template +vector> operator*(vector> const &A, vector> const &B) +{ + size_t N_A = A.size(); // Number of rows in A + size_t N_B = B[0].size(); // Number of columns in B + + vector> result(N_A); + + if (A[0].size() != B.size()) + { + cerr << "Number of columns in A != Number of rows in B (" << A[0].size() << ", " << B.size() << ")" << endl; + return result; + } + + for (size_t row = 0; row < N_A; row++) + { + vector v(N_B); + for (size_t col = 0; col < N_B; col++) + { + v[col] = static_cast(0); + for (size_t j = 0; j < B.size(); j++) + v[col] += A[row][j] * B[j][col]; + } + result[row] = v; + } + + return result; +} + +template +vector operator*(vector> const &A, vector const &B) +{ + size_t N_A = A.size(); // Number of rows in A + + vector result(N_A); + + if (A[0].size() != B.size()) + { + cerr << "Number of columns in A != Number of rows in B (" << A[0].size() << ", " << B.size() << ")" << endl; + return result; + } + + for (size_t row = 0; row < N_A; row++) + { + result[row] = static_cast(0); + for (size_t j = 0; j < B.size(); j++) + result[row] += A[row][j] * B[j]; + } + + return result; +} + +template +vector operator*(float const scalar, vector const &A) +{ + size_t N_A = A.size(); // Number of rows in A + + vector result(N_A); + + for (size_t row = 0; row < N_A; row++) + { + result[row] += A[row] * static_cast(scalar); + } + + return result; +} + +template +vector operator*(vector const &A, float const scalar) +{ + size_t N_A = A.size(); // Number of rows in A + + vector result(N_A); + + for (size_t row = 0; row < N_A; row++) + result[row] = A[row] * static_cast(scalar); + + return result; +} + +template +vector operator/(vector const &A, float const scalar) +{ + return (1.f / scalar) * A; +} + +template +vector operator-(vector const &A, vector const &B) +{ + size_t N = A.size(); // Number of rows in A + + vector result(N); + + if (B.size() != N) + { + cerr << "Vector dimensions shouldbe identical!" << endl; + return A; + } + + for (size_t row = 0; row < N; row++) + result[row] = A[row] - B[row]; + + return result; +} + +template +vector operator+(vector const &A, vector const &B) +{ + size_t N = A.size(); // Number of rows in A + + vector result(N); + + if (B.size() != N) + { + cerr << "Vector dimensions shouldbe identical!" << endl; + return A; + } + + for (size_t row = 0; row < N; row++) + result[row] = A[row] + B[row]; + + return result; +} + +/** + * Get matrix inverse using Row-trasnformations + **/ +template +vector> get_inverse(vector> const &A) +{ + size_t N = A.size(); // Assuming A is square matrix + + vector> inverse(N); + for (size_t row = 0; row < N; row++) // preallocatae a resultant identity matrix + { + inverse[row] = vector(N); + for (size_t col = 0; col < N; col++) + inverse[row][col] = (row == col) ? 1.f : 0.f; + } + + if (!is_square(A)) + { + cerr << "A must be a square matrix!" << endl; + return inverse; + } + + vector> temp(N); // preallocatae a temporary matrix identical to A + for (size_t row = 0; row < N; row++) + { + vector v(N); + for (size_t col = 0; col < N; col++) + v[col] = static_cast(A[row][col]); + temp[row] = v; + } + + // start transformations + for (size_t row = 0; row < N; row++) + { + for (size_t row2 = row; row2 < N && temp[row][row] == 0; row2++) // this to ensure diagonal elements are not 0 + { + temp[row] = temp[row] + temp[row2]; + inverse[row] = inverse[row] + inverse[row2]; + } + + for (size_t col2 = row; col2 < N && temp[row][row] == 0; col2++) // this to further ensure diagonal elements are not 0 + { + for (size_t row2 = 0; row2 < N; row2++) + { + temp[row2][row] = temp[row2][row] + temp[row2][col2]; + inverse[row2][row] = inverse[row2][row] + inverse[row2][col2]; + } + } + + if (temp[row][row] == 0) + { + // Probably a low-rank matrix and hence singular + cerr << "Low-rank matrix, no inverse!" << endl; + return inverse; + } + + // set diagonal to 1 + float divisor = static_cast(temp[row][row]); + temp[row] = temp[row] / divisor; + inverse[row] = inverse[row] / divisor; + // Row transformations + for (size_t row2 = 0; row2 < N; row2++) + { + if (row2 == row) + continue; + float factor = temp[row2][row]; + temp[row2] = temp[row2] - factor * temp[row]; + inverse[row2] = inverse[row2] - factor * inverse[row]; + } + } + + return inverse; +} + +/** + * matrix transpose + **/ +template +vector> get_transpose(vector> const &A) +{ + vector> result(A[0].size()); + + for (size_t row = 0; row < A[0].size(); row++) + { + vector v(A.size()); + for (size_t col = 0; col < A.size(); col++) + v[col] = A[col][row]; + + result[row] = v; + } + return result; +} + +template +vector fit_OLS_regressor(vector> const &X, vector const &Y) +{ + vector> X2 = X; //NxF + for (size_t i = 0; i < X2.size(); i++) + X2[i].push_back(1); // add Y-intercept -> Nx(F+1) + vector> Xt = get_transpose(X2); // (F+1)xN + vector> tmp = get_inverse(Xt * X2); // (F+1)x(F+1) + vector> out = tmp * Xt; // (F+1)xN + // cout << endl + // << "Projection matrix: " << X2 * out << endl; + return out * Y; // Fx1,1 -> (F+1)^th element is the independent constant +} + +/** + * Given data and OLS model coeffficients, predict + * regression estimates + **/ +template +vector predict_OLS_regressor(vector> const &X, vector const &beta) +{ + vector result(X.size()); + + for (size_t rows = 0; rows < X.size(); rows++) + { + result[rows] = beta[X[0].size()]; // -> start with constant term + for (size_t cols = 0; cols < X[0].size(); cols++) + result[rows] += beta[cols] * X[rows][cols]; + } + return result; // Nx1 +} + +int main() +{ + size_t N, F; + + cin >> F; // number of features = columns + cin >> N; // number of samples = rows + + vector> data(N); + vector Y(N); + + for (size_t rows = 0; rows < N; rows++) + { + vector v(F); + for (size_t cols = 0; cols < F; cols++) + cin >> v[cols]; // get the F features + data[rows] = v; + cin >> Y[rows]; // get the corresponding output + } + + vector beta = fit_OLS_regressor(data, Y); + cout << endl + << endl + << "beta:" << beta << endl; + + size_t T; + cin >> T; // number of test sample inputs + vector> data2(T); + // vector Y2(T); + + for (size_t rows = 0; rows < T; rows++) + { + vector v(F); + for (size_t cols = 0; cols < F; cols++) + cin >> v[cols]; + data2[rows] = v; + } + + vector out = predict_OLS_regressor(data2, beta); + for (size_t rows = 0; rows < T; rows++) + cout << out[rows] << endl; + + return 0; +} From 9cd7e0f4e79fa538edd8628ab35951729d922397 Mon Sep 17 00:00:00 2001 From: Krishna Vedala Date: Mon, 11 May 2020 21:35:25 -0400 Subject: [PATCH 31/79] fixed cpplint issues --- .../ordinary_least_squares_regressor.cpp | 495 +++++++++--------- 1 file changed, 252 insertions(+), 243 deletions(-) diff --git a/computer_oriented_statistical_methods/ordinary_least_squares_regressor.cpp b/computer_oriented_statistical_methods/ordinary_least_squares_regressor.cpp index 3ab35610a..f50ccf1b1 100644 --- a/computer_oriented_statistical_methods/ordinary_least_squares_regressor.cpp +++ b/computer_oriented_statistical_methods/ordinary_least_squares_regressor.cpp @@ -1,280 +1,279 @@ -#include +/** + * Program that gets the number of data samples and number of features per + * sample along with output per sample. It applies OLS regression to compute + * the regression output for additional test data samples. + **/ #include #include -using namespace std; +#include template -ostream &operator<<(ostream &out, vector> const &v) -{ - const int width = 10; - const char separator = ' '; +std::ostream &operator<<(std::ostream &out, + std::vector> const &v) { + const int width = 10; + const char separator = ' '; - for (size_t row = 0; row < v.size(); row++) - { - for (size_t col = 0; col < v[row].size(); col++) - out - << left << setw(width) << setfill(separator) << v[row][col]; - out << endl; - } + for (size_t row = 0; row < v.size(); row++) { + for (size_t col = 0; col < v[row].size(); col++) + out << std::left << std::setw(width) << std::setfill(separator) + << v[row][col]; + out << std::endl; + } - return out; + return out; } template -ostream &operator<<(ostream &out, vector const &v) -{ - const int width = 15; - const char separator = ' '; +std::ostream &operator<<(std::ostream &out, std::vector const &v) { + const int width = 15; + const char separator = ' '; - for (size_t row = 0; row < v.size(); row++) - out - << left << setw(width) << setfill(separator) << v[row]; + for (size_t row = 0; row < v.size(); row++) + out << std::left << std::setw(width) << std::setfill(separator) << v[row]; - return out; + return out; } template -inline bool is_square(vector> const &A) -{ - size_t N = A.size(); // Assuming A is square matrix - for (size_t i = 0; i < N; i++) - if (A[i].size() != N) - return false; - return true; +inline bool is_square(std::vector> const &A) { + // Assuming A is square matrix + size_t N = A.size(); + for (size_t i = 0; i < N; i++) + if (A[i].size() != N) + return false; + return true; } /** * matrix multiplication **/ template -vector> operator*(vector> const &A, vector> const &B) -{ - size_t N_A = A.size(); // Number of rows in A - size_t N_B = B[0].size(); // Number of columns in B +std::vector> operator*(std::vector> const &A, + std::vector> const &B) { + // Number of rows in A + size_t N_A = A.size(); + // Number of columns in B + size_t N_B = B[0].size(); - vector> result(N_A); - - if (A[0].size() != B.size()) - { - cerr << "Number of columns in A != Number of rows in B (" << A[0].size() << ", " << B.size() << ")" << endl; - return result; - } - - for (size_t row = 0; row < N_A; row++) - { - vector v(N_B); - for (size_t col = 0; col < N_B; col++) - { - v[col] = static_cast(0); - for (size_t j = 0; j < B.size(); j++) - v[col] += A[row][j] * B[j][col]; - } - result[row] = v; - } + std::vector> result(N_A); + if (A[0].size() != B.size()) { + std::cerr << "Number of columns in A != Number of rows in B (" + << A[0].size() << ", " << B.size() << ")" << std::endl; return result; + } + + for (size_t row = 0; row < N_A; row++) { + std::vector v(N_B); + for (size_t col = 0; col < N_B; col++) { + v[col] = static_cast(0); + for (size_t j = 0; j < B.size(); j++) + v[col] += A[row][j] * B[j][col]; + } + result[row] = v; + } + + return result; } template -vector operator*(vector> const &A, vector const &B) -{ - size_t N_A = A.size(); // Number of rows in A +std::vector operator*(std::vector> const &A, + std::vector const &B) { + // Number of rows in A + size_t N_A = A.size(); - vector result(N_A); - - if (A[0].size() != B.size()) - { - cerr << "Number of columns in A != Number of rows in B (" << A[0].size() << ", " << B.size() << ")" << endl; - return result; - } - - for (size_t row = 0; row < N_A; row++) - { - result[row] = static_cast(0); - for (size_t j = 0; j < B.size(); j++) - result[row] += A[row][j] * B[j]; - } + std::vector result(N_A); + if (A[0].size() != B.size()) { + std::cerr << "Number of columns in A != Number of rows in B (" + << A[0].size() << ", " << B.size() << ")" << std::endl; return result; + } + + for (size_t row = 0; row < N_A; row++) { + result[row] = static_cast(0); + for (size_t j = 0; j < B.size(); j++) + result[row] += A[row][j] * B[j]; + } + + return result; } template -vector operator*(float const scalar, vector const &A) -{ - size_t N_A = A.size(); // Number of rows in A +std::vector operator*(float const scalar, std::vector const &A) { + // Number of rows in A + size_t N_A = A.size(); - vector result(N_A); + std::vector result(N_A); - for (size_t row = 0; row < N_A; row++) - { - result[row] += A[row] * static_cast(scalar); - } + for (size_t row = 0; row < N_A; row++) { + result[row] += A[row] * static_cast(scalar); + } - return result; + return result; } template -vector operator*(vector const &A, float const scalar) -{ - size_t N_A = A.size(); // Number of rows in A +std::vector operator*(std::vector const &A, float const scalar) { + // Number of rows in A + size_t N_A = A.size(); - vector result(N_A); + std::vector result(N_A); - for (size_t row = 0; row < N_A; row++) - result[row] = A[row] * static_cast(scalar); + for (size_t row = 0; row < N_A; row++) + result[row] = A[row] * static_cast(scalar); - return result; + return result; } template -vector operator/(vector const &A, float const scalar) -{ - return (1.f / scalar) * A; +std::vector operator/(std::vector const &A, float const scalar) { + return (1.f / scalar) * A; } template -vector operator-(vector const &A, vector const &B) -{ - size_t N = A.size(); // Number of rows in A +std::vector operator-(std::vector const &A, std::vector const &B) { + // Number of rows in A + size_t N = A.size(); - vector result(N); + std::vector result(N); - if (B.size() != N) - { - cerr << "Vector dimensions shouldbe identical!" << endl; - return A; - } + if (B.size() != N) { + std::cerr << "Vector dimensions shouldbe identical!" << std::endl; + return A; + } - for (size_t row = 0; row < N; row++) - result[row] = A[row] - B[row]; + for (size_t row = 0; row < N; row++) + result[row] = A[row] - B[row]; - return result; + return result; } template -vector operator+(vector const &A, vector const &B) -{ - size_t N = A.size(); // Number of rows in A +std::vector operator+(std::vector const &A, std::vector const &B) { + // Number of rows in A + size_t N = A.size(); - vector result(N); + std::vector result(N); - if (B.size() != N) - { - cerr << "Vector dimensions shouldbe identical!" << endl; - return A; - } + if (B.size() != N) { + std::cerr << "Vector dimensions shouldbe identical!" << std::endl; + return A; + } - for (size_t row = 0; row < N; row++) - result[row] = A[row] + B[row]; + for (size_t row = 0; row < N; row++) + result[row] = A[row] + B[row]; - return result; + return result; } /** * Get matrix inverse using Row-trasnformations **/ template -vector> get_inverse(vector> const &A) -{ - size_t N = A.size(); // Assuming A is square matrix +std::vector> +get_inverse(std::vector> const &A) { + // Assuming A is square matrix + size_t N = A.size(); - vector> inverse(N); - for (size_t row = 0; row < N; row++) // preallocatae a resultant identity matrix - { - inverse[row] = vector(N); - for (size_t col = 0; col < N; col++) - inverse[row][col] = (row == col) ? 1.f : 0.f; - } - - if (!is_square(A)) - { - cerr << "A must be a square matrix!" << endl; - return inverse; - } - - vector> temp(N); // preallocatae a temporary matrix identical to A - for (size_t row = 0; row < N; row++) - { - vector v(N); - for (size_t col = 0; col < N; col++) - v[col] = static_cast(A[row][col]); - temp[row] = v; - } - - // start transformations - for (size_t row = 0; row < N; row++) - { - for (size_t row2 = row; row2 < N && temp[row][row] == 0; row2++) // this to ensure diagonal elements are not 0 - { - temp[row] = temp[row] + temp[row2]; - inverse[row] = inverse[row] + inverse[row2]; - } - - for (size_t col2 = row; col2 < N && temp[row][row] == 0; col2++) // this to further ensure diagonal elements are not 0 - { - for (size_t row2 = 0; row2 < N; row2++) - { - temp[row2][row] = temp[row2][row] + temp[row2][col2]; - inverse[row2][row] = inverse[row2][row] + inverse[row2][col2]; - } - } - - if (temp[row][row] == 0) - { - // Probably a low-rank matrix and hence singular - cerr << "Low-rank matrix, no inverse!" << endl; - return inverse; - } - - // set diagonal to 1 - float divisor = static_cast(temp[row][row]); - temp[row] = temp[row] / divisor; - inverse[row] = inverse[row] / divisor; - // Row transformations - for (size_t row2 = 0; row2 < N; row2++) - { - if (row2 == row) - continue; - float factor = temp[row2][row]; - temp[row2] = temp[row2] - factor * temp[row]; - inverse[row2] = inverse[row2] - factor * inverse[row]; - } - } + std::vector> inverse(N); + for (size_t row = 0; row < N; row++) { + // preallocatae a resultant identity matrix + inverse[row] = std::vector(N); + for (size_t col = 0; col < N; col++) + inverse[row][col] = (row == col) ? 1.f : 0.f; + } + if (!is_square(A)) { + std::cerr << "A must be a square matrix!" << std::endl; return inverse; + } + + // preallocatae a temporary matrix identical to A + std::vector> temp(N); + for (size_t row = 0; row < N; row++) { + std::vector v(N); + for (size_t col = 0; col < N; col++) + v[col] = static_cast(A[row][col]); + temp[row] = v; + } + + // start transformations + for (size_t row = 0; row < N; row++) { + for (size_t row2 = row; row2 < N && temp[row][row] == 0; row2++) { + // this to ensure diagonal elements are not 0 + temp[row] = temp[row] + temp[row2]; + inverse[row] = inverse[row] + inverse[row2]; + } + + for (size_t col2 = row; col2 < N && temp[row][row] == 0; col2++) { + // this to further ensure diagonal elements are not 0 + for (size_t row2 = 0; row2 < N; row2++) { + temp[row2][row] = temp[row2][row] + temp[row2][col2]; + inverse[row2][row] = inverse[row2][row] + inverse[row2][col2]; + } + } + + if (temp[row][row] == 0) { + // Probably a low-rank matrix and hence singular + std::cerr << "Low-rank matrix, no inverse!" << std::endl; + return inverse; + } + + // set diagonal to 1 + float divisor = static_cast(temp[row][row]); + temp[row] = temp[row] / divisor; + inverse[row] = inverse[row] / divisor; + // Row transformations + for (size_t row2 = 0; row2 < N; row2++) { + if (row2 == row) + continue; + float factor = temp[row2][row]; + temp[row2] = temp[row2] - factor * temp[row]; + inverse[row2] = inverse[row2] - factor * inverse[row]; + } + } + + return inverse; } /** * matrix transpose **/ template -vector> get_transpose(vector> const &A) -{ - vector> result(A[0].size()); +std::vector> +get_transpose(std::vector> const &A) { + std::vector> result(A[0].size()); - for (size_t row = 0; row < A[0].size(); row++) - { - vector v(A.size()); - for (size_t col = 0; col < A.size(); col++) - v[col] = A[col][row]; + for (size_t row = 0; row < A[0].size(); row++) { + std::vector v(A.size()); + for (size_t col = 0; col < A.size(); col++) + v[col] = A[col][row]; - result[row] = v; - } - return result; + result[row] = v; + } + return result; } template -vector fit_OLS_regressor(vector> const &X, vector const &Y) -{ - vector> X2 = X; //NxF - for (size_t i = 0; i < X2.size(); i++) - X2[i].push_back(1); // add Y-intercept -> Nx(F+1) - vector> Xt = get_transpose(X2); // (F+1)xN - vector> tmp = get_inverse(Xt * X2); // (F+1)x(F+1) - vector> out = tmp * Xt; // (F+1)xN - // cout << endl - // << "Projection matrix: " << X2 * out << endl; - return out * Y; // Fx1,1 -> (F+1)^th element is the independent constant +std::vector fit_OLS_regressor(std::vector> const &X, + std::vector const &Y) { + // NxF + std::vector> X2 = X; + for (size_t i = 0; i < X2.size(); i++) + // add Y-intercept -> Nx(F+1) + X2[i].push_back(1); + // (F+1)xN + std::vector> Xt = get_transpose(X2); + // (F+1)x(F+1) + std::vector> tmp = get_inverse(Xt * X2); + // (F+1)xN + std::vector> out = tmp * Xt; + // cout << endl + // << "Projection matrix: " << X2 * out << endl; + + // Fx1,1 -> (F+1)^th element is the independent constant + return out * Y; } /** @@ -282,59 +281,69 @@ vector fit_OLS_regressor(vector> const &X, vector const &Y) * regression estimates **/ template -vector predict_OLS_regressor(vector> const &X, vector const &beta) -{ - vector result(X.size()); +std::vector predict_OLS_regressor(std::vector> const &X, + std::vector const &beta) { + std::vector result(X.size()); - for (size_t rows = 0; rows < X.size(); rows++) - { - result[rows] = beta[X[0].size()]; // -> start with constant term - for (size_t cols = 0; cols < X[0].size(); cols++) - result[rows] += beta[cols] * X[rows][cols]; - } - return result; // Nx1 + for (size_t rows = 0; rows < X.size(); rows++) { + // -> start with constant term + result[rows] = beta[X[0].size()]; + for (size_t cols = 0; cols < X[0].size(); cols++) + result[rows] += beta[cols] * X[rows][cols]; + } + // Nx1 + return result; } -int main() -{ - size_t N, F; +int main() { + size_t N, F; - cin >> F; // number of features = columns - cin >> N; // number of samples = rows + std::cout << "Enter number of features: "; + // number of features = columns + std::cin >> F; + std::cout << "Enter number of samples: "; + // number of samples = rows + std::cin >> N; - vector> data(N); - vector Y(N); + std::vector> data(N); + std::vector Y(N); - for (size_t rows = 0; rows < N; rows++) - { - vector v(F); - for (size_t cols = 0; cols < F; cols++) - cin >> v[cols]; // get the F features - data[rows] = v; - cin >> Y[rows]; // get the corresponding output - } + std::cout + << "Enter training data. Per sample, provide features ad one output." + << std::endl; - vector beta = fit_OLS_regressor(data, Y); - cout << endl - << endl - << "beta:" << beta << endl; + for (size_t rows = 0; rows < N; rows++) { + std::vector v(F); + std::cout << "Sample# " << rows + 1 << ": "; + for (size_t cols = 0; cols < F; cols++) + // get the F features + std::cin >> v[cols]; + data[rows] = v; + // get the corresponding output + std::cin >> Y[rows]; + } - size_t T; - cin >> T; // number of test sample inputs - vector> data2(T); - // vector Y2(T); + std::vector beta = fit_OLS_regressor(data, Y); + std::cout << std::endl << std::endl << "beta:" << beta << std::endl; - for (size_t rows = 0; rows < T; rows++) - { - vector v(F); - for (size_t cols = 0; cols < F; cols++) - cin >> v[cols]; - data2[rows] = v; - } + size_t T; + std::cout << "Enter number of test samples: "; + // number of test sample inputs + std::cin >> T; + std::vector> data2(T); + // vector Y2(T); - vector out = predict_OLS_regressor(data2, beta); - for (size_t rows = 0; rows < T; rows++) - cout << out[rows] << endl; + for (size_t rows = 0; rows < T; rows++) { + std::cout << "Sample# " << rows + 1 << ": "; + std::vector v(F); + for (size_t cols = 0; cols < F; cols++) + std::cin >> v[cols]; + data2[rows] = v; + } - return 0; + std::vector out = predict_OLS_regressor(data2, beta); + for (size_t rows = 0; rows < T; rows++) + std::cout << out[rows] << std::endl; + + return 0; } From de65e2b256f7ccad2cf2bc2cf516233b1328687f Mon Sep 17 00:00:00 2001 From: Srujan Bharadwaj <55992753+srujangit123@users.noreply.github.com> Date: Mon, 18 May 2020 18:02:42 +0530 Subject: [PATCH 32/79] Create extended_euclid_algorithm.cpp (#759) * Create extended_euclid_algorithm.cpp * Fix wihitespaces and fix if else space issues * Update extended_euclid_algorithm.cpp * updating DIRECTORY.md * Update extended_euclid_algorithm.cpp Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> --- DIRECTORY.md | 1 + math/extended_euclid_algorithm.cpp | 28 ++++++++++++++++++++++++++++ 2 files changed, 29 insertions(+) create mode 100644 math/extended_euclid_algorithm.cpp diff --git a/DIRECTORY.md b/DIRECTORY.md index d9ca3ae36..acd08bf32 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -96,6 +96,7 @@ ## Math * [Binary Exponent](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/binary_exponent.cpp) * [Eulers Totient Function](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/eulers_totient_function.cpp) + * [Extended Euclid Algorithm](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/extended_euclid_algorithm.cpp) * [Factorial](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/factorial.cpp) * [Fast Power](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/fast_power.cpp) * [Greatest Common Divisor](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/greatest_common_divisor.cpp) diff --git a/math/extended_euclid_algorithm.cpp b/math/extended_euclid_algorithm.cpp new file mode 100644 index 000000000..3db14802f --- /dev/null +++ b/math/extended_euclid_algorithm.cpp @@ -0,0 +1,28 @@ +#include +// Finding coefficients of a and b ie x and y in gcd(a, b) = a * x + b * y +// d is gcd(a, b) +// This is also used in finding Modular multiplicative inverse of a number. +// (A * B)%M == 1 Here B is the MMI of A for given M, +// so extendedEuclid (A, M) gives B. + +int d, x, y; +void extendedEuclid(int A, int B) { + if (B == 0) { + d = A; + x = 1; + y = 0; + } else { + extendedEuclid(B, A%B); + int temp = x; + x = y; + y = temp - (A/B)*y; + } +} + +int main() { + int a, b; + std::cin >> a >> b; + extendedEuclid(a, b); + std::cout << x << " " << y << std::endl; + return 0; +} From f4eacb3fd78ccb8ac6270cc2dd959e8948c67232 Mon Sep 17 00:00:00 2001 From: floan Date: Tue, 19 May 2020 09:59:38 +0500 Subject: [PATCH 33/79] feat: added a function to get the size of a linked list (#763) * feat: added a function to get the size of a linked list * Update get_size_of_linked_list.cpp Co-authored-by: Christian Clauss --- .../get_size_of_linked_list.cpp | 36 +++++++++++++++++++ 1 file changed, 36 insertions(+) create mode 100644 operations_on_datastructures/get_size_of_linked_list.cpp diff --git a/operations_on_datastructures/get_size_of_linked_list.cpp b/operations_on_datastructures/get_size_of_linked_list.cpp new file mode 100644 index 000000000..84f8db07f --- /dev/null +++ b/operations_on_datastructures/get_size_of_linked_list.cpp @@ -0,0 +1,36 @@ +#include + +class Node { + public: + int val; + Node *next; + + Node(int v, Node *n) : val(v), next(n) {} // Default constructor for Node +}; + +int getSize(Node *root) { + if (root == NULL) { + return 0; + } + // Each node will return 1 so the total adds up to be the size + return 1 + getSize(root->next); +} + +int main() { + Node *myList = new Node(0, NULL); // Initializes the LinkedList + Node *temp = myList; + // Creates a linked lists of total size 10, numbered 1 - 10 + for (int i = 1; i < 10; i++) { + temp->next = new Node(i, NULL); + temp = temp->next; + } + // Creating other lists for checking purposes + Node *secondList = new Node(0, NULL); // List of size 1 + Node *thirdList = NULL; // List of size 0 + + std::cout << getSize(myList) << std::endl + << getSize(secondList) << std::endl + << getSize(thirdList) << std::endl; + + return 0; +} From 22ee86d69bd6601abc7faa15ae0c369e5b3ca30b Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Tue, 19 May 2020 04:59:55 +0000 Subject: [PATCH 34/79] updating DIRECTORY.md --- DIRECTORY.md | 1 + 1 file changed, 1 insertion(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index acd08bf32..92a01ba40 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -115,6 +115,7 @@ * [Array Right Rotation](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/operations_on_datastructures/Array%20Right%20Rotation.cpp) * [Circular Linked List](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/operations_on_datastructures/Circular%20Linked%20List.cpp) * [Circular Queue Using Array](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/operations_on_datastructures/Circular%20Queue%20Using%20Array.cpp) + * [Get Size Of Linked List](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/operations_on_datastructures/get_size_of_linked_list.cpp) * [Intersection Of 2 Arrays](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/operations_on_datastructures/Intersection_of_2_arrays.cpp) * [Reverse A Linked List Using Recusion](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/operations_on_datastructures/Reverse%20a%20Linked%20List%20using%20Recusion.cpp) * [Selectionsortlinkedlist](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/operations_on_datastructures/selectionSortLinkedList.cpp) From a11c09e6ba7b375db36dcd6063c4434bed91046c Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Tue, 19 May 2020 06:45:56 +0000 Subject: [PATCH 35/79] updating DIRECTORY.md --- DIRECTORY.md | 1 + 1 file changed, 1 insertion(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index 92a01ba40..66d00cf29 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -72,6 +72,7 @@ ## Graph * [Bfs](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/BFS.cpp) + * [Connected Components](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/connected_components.cpp) * [Dfs](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/DFS.cpp) * [Dfs With Stack](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/DFS_with_stack.cc) * [Dijkstra](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/Dijkstra.cpp) From 03664deca98e04f0e58464553acdc339d9f78ae5 Mon Sep 17 00:00:00 2001 From: vonzo <34040775+vonzo@users.noreply.github.com> Date: Tue, 19 May 2020 17:50:15 +0200 Subject: [PATCH 36/79] Fibonacci funtion added (#767) * finbonacci funtion added * finbonacci funtion added * finbonacci funtion added * finbonacci funtion added * Update fibonacci.cpp Co-authored-by: Christian Clauss --- math/fibonacci.cpp | 25 +++++++++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100644 math/fibonacci.cpp diff --git a/math/fibonacci.cpp b/math/fibonacci.cpp new file mode 100644 index 000000000..1c07cd93f --- /dev/null +++ b/math/fibonacci.cpp @@ -0,0 +1,25 @@ +#include +#include + +/* Calculate the the value on Fibonacci's sequence given an +integer as input +Fibonacci = 0, 1, 1, 2, 3, 5, + 8, 13, 21, 34, 55, + 89, 144, ... */ + +int fibonacci(uint n) { + /* If the input is 0 or 1 just return the same + This will set the first 2 values of the sequence */ + if (n <= 1) + return n; + + /* Add the last 2 values of the sequence to get next */ + return fibonacci(n-1) + fibonacci(n-2); +} + +int main() { + int n; + std::cin >> n; + assert(n >= 0); + std::cout << "F(" << n << ")= " << fibonacci(n) << std::endl; +} From 52f46c5b61f1c3e75d43c55fd3b0c2e4dd6306d7 Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Tue, 19 May 2020 15:50:31 +0000 Subject: [PATCH 37/79] updating DIRECTORY.md --- DIRECTORY.md | 1 + 1 file changed, 1 insertion(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index 66d00cf29..132976f04 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -100,6 +100,7 @@ * [Extended Euclid Algorithm](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/extended_euclid_algorithm.cpp) * [Factorial](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/factorial.cpp) * [Fast Power](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/fast_power.cpp) + * [Fibonacci](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/fibonacci.cpp) * [Greatest Common Divisor](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/greatest_common_divisor.cpp) * [Greatest Common Divisor Euclidean](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/greatest_common_divisor_euclidean.cpp) * [Modular Inverse Fermat Little Theorem](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/modular_inverse_fermat_little_theorem.cpp) From eaf2ebd544b89b7793a9dc3fc9648667d8815461 Mon Sep 17 00:00:00 2001 From: mishraabhinn <49574460+mishraabhinn@users.noreply.github.com> Date: Wed, 20 May 2020 00:26:59 +0530 Subject: [PATCH 38/79] SwapSort.cpp (#754) * Create Swap Sort(Minimum) * Update Swap Sort(Minimum) * Update Swap Sort(Minimum) * Rename Swap Sort(Minimum) to SwapSort.cpp * Update SwapSort.cpp * Update SwapSort.cpp * Update SwapSort.cpp * Rename SwapSort.cpp to swap_sort.cpp Co-authored-by: Christian Clauss --- sorting/swap_sort.cpp | 66 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 66 insertions(+) create mode 100644 sorting/swap_sort.cpp diff --git a/sorting/swap_sort.cpp b/sorting/swap_sort.cpp new file mode 100644 index 000000000..a4ab1e57b --- /dev/null +++ b/sorting/swap_sort.cpp @@ -0,0 +1,66 @@ +// C++ program to find minimum number of swaps required to sort an array +#include +#include +#include +#include + +// Function returns the minimum number of swaps +// required to sort the array +int minSwaps(int arr[], int n) { + // Create an array of pairs where first + // element is array element and second element + // is position of first element + std::pair arrPos[n]; + for (int i = 0; i < n; i++) { + arrPos[i].first = arr[i]; + arrPos[i].second = i; + } + + // Sort the array by array element values to + // get right position of every element as second + // element of pair. + std::sort(arrPos, arrPos + n); + + // To keep track of visited elements. Initialize + // all elements as not visited or false. + std::vector vis(n, false); + + // Initialize result + int ans = 0; + + // Traverse array elements + for (int i = 0; i < n; i++) { + // already swapped and corrected or + // already present at correct pos + if (vis[i] || arrPos[i].second == i) + continue; + + // find out the number of node in + // this cycle and add in ans + int cycle_size = 0; + int j = i; + while (!vis[j]) { + vis[j] = 1; + + // move to next node + j = arrPos[j].second; + cycle_size++; + } + + // Update answer by adding current cycle. + if (cycle_size > 0) { + ans += (cycle_size - 1); + } + } + + // Return result + return ans; +} + +// program to test +int main() { + int arr[] = {6, 7, 8, 1, 2, 3, 9, 12}; + int n = (sizeof(arr) / sizeof(int)); + std::cout << minSwaps(arr, n); + return 0; +} From d079d1fda47b071f77a095dffa2cce087ef5cfbc Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Tue, 19 May 2020 18:57:16 +0000 Subject: [PATCH 39/79] updating DIRECTORY.md --- DIRECTORY.md | 1 + 1 file changed, 1 insertion(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index 132976f04..2328a3364 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -189,6 +189,7 @@ * [Selection Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/Selection%20Sort.cpp) * [Shell Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/Shell%20Sort.cpp) * [Slow Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/Slow%20Sort.cpp) + * [Swap Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/swap_sort.cpp) * [Tim Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/Tim%20Sort.cpp) ## Strings From 51eb5beab56dabead088f093fd12f3dc1d25adf4 Mon Sep 17 00:00:00 2001 From: Rob Adams Date: Wed, 20 May 2020 03:05:03 +0000 Subject: [PATCH 40/79] fix: sqrt_double hangs on x < 1 (#760) --- math/sqrt_double.cpp | 3 +++ 1 file changed, 3 insertions(+) diff --git a/math/sqrt_double.cpp b/math/sqrt_double.cpp index e3418bfc3..5a0fd1c88 100644 --- a/math/sqrt_double.cpp +++ b/math/sqrt_double.cpp @@ -6,6 +6,9 @@ number in O(logn) time, with precision fixed */ double Sqrt(double x) { + if ( x > 0 && x < 1 ) { + return 1/Sqrt(1/x); + } double l = 0, r = x; /* Epsilon is the precision. A great precision is From f55c76d0fb82c94eb996ddfc41a0758d11cb331b Mon Sep 17 00:00:00 2001 From: Samrat De Date: Thu, 21 May 2020 17:32:51 +0530 Subject: [PATCH 41/79] fix: Doubly Linked List algorithm bug --- data_structure/Doubly Linked List.cpp | 34 +++++++++++++++++++++++---- 1 file changed, 29 insertions(+), 5 deletions(-) diff --git a/data_structure/Doubly Linked List.cpp b/data_structure/Doubly Linked List.cpp index 84a239d3f..a1b6da3ad 100644 --- a/data_structure/Doubly Linked List.cpp +++ b/data_structure/Doubly Linked List.cpp @@ -38,13 +38,37 @@ void insert(int x) void remove(int x) { node *t = start; - while (t->val != x) + while (t != NULL && t->val != x) { - t = t->next; + t = t-> next; } - t->prev->next = t->next; - t->next->prev = t->prev; - delete t; + if (t == NULL) + { + return; + } + // if first element is removed + if (t->prev == NULL) + { + if (t->next == NULL) + { + start = NULL; + } + else + { + start = t->next; + start->prev = NULL; + } + } + else if (t->next == NULL) + { + t->prev->next = NULL; + } + else + { + t->prev->next = t->next; + t->next->prev = t->prev; + } + delete t; } void search(int x) From d90fdf8282c368139ff8b4ff85e8cf203bf76af9 Mon Sep 17 00:00:00 2001 From: Samrat De Date: Thu, 21 May 2020 19:40:07 +0530 Subject: [PATCH 42/79] handled all automated failing tests --- data_structure/Doubly Linked List.cpp | 248 +++++++++++--------------- 1 file changed, 107 insertions(+), 141 deletions(-) diff --git a/data_structure/Doubly Linked List.cpp b/data_structure/Doubly Linked List.cpp index a1b6da3ad..a333bd374 100644 --- a/data_structure/Doubly Linked List.cpp +++ b/data_structure/Doubly Linked List.cpp @@ -1,158 +1,124 @@ #include -using namespace std; -struct node -{ - int val; - node *prev; - node *next; +struct node { + int val; + node *prev; + node *next; }; node *start; -void insert(int x) -{ - node *t = start; - if (start != NULL) - { - while (t->next != NULL) - { - t = t->next; - } - node *n = new node; - t->next = n; - n->prev = t; - n->val = x; - n->next = NULL; - } - else - { - node *n = new node; - n->val = x; - n->prev = NULL; - n->next = NULL; - start = n; - } +void insert(int x) { + node *t = start; + if (start != NULL) { + while (t->next != NULL) { + t = t->next; + } + node *n = new node; + t->next = n; + n->prev = t; + n->val = x; + n->next = NULL; + } else { + node *n = new node; + n->val = x; + n->prev = NULL; + n->next = NULL; + start = n; + } } -void remove(int x) -{ - node *t = start; - while (t != NULL && t->val != x) - { - t = t-> next; - } - if (t == NULL) - { - return; - } - // if first element is removed - if (t->prev == NULL) - { - if (t->next == NULL) - { - start = NULL; - } - else - { - start = t->next; - start->prev = NULL; - } - } - else if (t->next == NULL) - { - t->prev->next = NULL; - } - else - { - t->prev->next = t->next; - t->next->prev = t->prev; - } - delete t; +void remove(int x) { + node *t = start; + while (t != NULL && t->val != x) { + t = t-> next; + } + if (t == NULL) { + return; + } + if (t->prev == NULL) { + if (t->next == NULL) { + start = NULL; + } else { + start = t->next; + start->prev = NULL; + } + } else if (t->next == NULL) { + t->prev->next = NULL; + } else { + t->prev->next = t->next; + t->next->prev = t->prev; + } } -void search(int x) -{ - node *t = start; - int found = 0; - while (t != NULL) - { - if (t->val == x) - { - cout << "\nFound"; - found = 1; - break; - } - t = t->next; - } - if (found == 0) - { - cout << "\nNot Found"; - } +void search(int x) { + node *t = start; + int found = 0; + while (t != NULL) { + if (t->val == x) { + std::cout << "\nFound"; + found = 1; + break; + } + t = t->next; + } + if (found == 0) { + std::cout << "\nNot Found"; + } } -void show() -{ - node *t = start; - while (t != NULL) - { - cout << t->val << "\t"; - t = t->next; - } +void show() { + node *t = start; + while (t != NULL) { + std::cout << t->val << "\t"; + t = t->next; + } } -void reverseShow() -{ - node *t = start; - while (t->next != NULL) - { - t = t->next; - } - while (t != NULL) - { - cout << t->val << "\t"; - t = t->prev; - } +void reverseShow() { + node *t = start; + while (t->next != NULL) { + t = t->next; + } + while (t != NULL) { + std::cout << t->val << "\t"; + t = t->prev; + } } -int main() -{ - int choice, x; - do - { - cout << "\n1. Insert"; - cout << "\n2. Delete"; - cout << "\n3. Search"; - cout << "\n4. Forward print"; - cout << "\n5. Reverse print"; - cout << "\n\nEnter you choice : "; - cin >> choice; - switch (choice) - { - case 1: - cout << "\nEnter the element to be inserted : "; - cin >> x; - ; - insert(x); - break; - case 2: - cout << "\nEnter the element to be removed : "; - cin >> x; - remove(x); - break; - case 3: - cout << "\nEnter the element to be searched : "; - cin >> x; - search(x); - break; - case 4: - show(); - break; - case 5: - reverseShow(); - break; - } - } while (choice != 0); - - return 0; +int main() { + int choice, x; + do { + std::cout << "\n1. Insert"; + std::cout << "\n2. Delete"; + std::cout << "\n3. Search"; + std::cout << "\n4. Forward print"; + std::cout << "\n5. Reverse print"; + std::cout << "\n\nEnter you choice : "; + std::cin >> choice; + switch (choice) { + case 1: + std::cout << "\nEnter the element to be inserted : "; + std::cin >> x; + insert(x); + break; + case 2: + std::cout << "\nEnter the element to be removed : "; + std::cin >> x; + remove(x); + break; + case 3: + std::cout << "\nEnter the element to be searched : "; + std::cin >> x; + search(x); + break; + case 4: + show(); + break; + case 5: + reverseShow(); + break; + } + } while (choice != 0); + return 0; } From 74fc841f105df7e4ec4a6b7201c41446fa2c30d4 Mon Sep 17 00:00:00 2001 From: Samrat De Date: Thu, 21 May 2020 19:46:40 +0530 Subject: [PATCH 43/79] handled all automated failing tests --- data_structure/{Doubly Linked List.cpp => doubly_linked_list.cpp} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename data_structure/{Doubly Linked List.cpp => doubly_linked_list.cpp} (100%) diff --git a/data_structure/Doubly Linked List.cpp b/data_structure/doubly_linked_list.cpp similarity index 100% rename from data_structure/Doubly Linked List.cpp rename to data_structure/doubly_linked_list.cpp From 17b8deec06b2e454d557366b3d479649b528e59b Mon Sep 17 00:00:00 2001 From: Himanshu Airan <62210670+Himanshu-77@users.noreply.github.com> Date: Thu, 21 May 2020 20:55:53 +0530 Subject: [PATCH 44/79] Create Prim.cpp (#750) * Create Prim.cpp Created file for Prim's Algorithm in graph that was still missing. * Update Prim.cpp Edited indentation part * Update Prim.cpp indentation updated * Update Prim.cpp Indentation updated * Rename Prim.cpp to prim.cpp Co-authored-by: Christian Clauss --- graph/prim.cpp | 58 ++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 58 insertions(+) create mode 100644 graph/prim.cpp diff --git a/graph/prim.cpp b/graph/prim.cpp new file mode 100644 index 000000000..2923b5b25 --- /dev/null +++ b/graph/prim.cpp @@ -0,0 +1,58 @@ +// C++ program to implement Prim's Algorithm +#include +#include +#include + +const int MAX = 1e4 + 5; +typedef std:: pair PII; + +bool marked[MAX]; +std:: vector adj[MAX]; + +int prim(int x) { + // priority queue to maintain edges with respect to weights + std:: priority_queue, std:: greater > Q; + int y; + int minimumCost = 0; + PII p; + + Q.push(std:: make_pair(0, x)); + while (!Q.empty()) { + // Select the edge with minimum weight + p = Q.top(); + Q.pop(); + x = p.second; + // Checking for cycle + if (marked[x] == true) + continue; + minimumCost += p.first; + marked[x] = true; + for (int i = 0; i < adj[x].size(); ++i) { + y = adj[x][i].second; + if (marked[y] == false) + Q.push(adj[x][i]); + } + } + return minimumCost; +} + +int main() { + int nodes, edges, x, y; + int weight, minimumCost; + + std:: cin >> nodes >> edges; // number of nodes & edges in graph + if (nodes == 0 || edges == 0) + return 0; + + // Edges with their nodes & weight + for (int i = 0; i < edges; ++i) { + std::cin >> x >> y >> weight; + adj[x].push_back(std:: make_pair(weight, y)); + adj[y].push_back(std:: make_pair(weight, x)); + } + + // Selecting 1 as the starting node + minimumCost = prim(1); + std:: cout << minimumCost << std:: endl; + return 0; +} From f4e94eed88678f4ec3c7bb172b38b81be2ac00fa Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Thu, 21 May 2020 15:26:08 +0000 Subject: [PATCH 45/79] updating DIRECTORY.md --- DIRECTORY.md | 1 + 1 file changed, 1 insertion(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index 2328a3364..66d6b8e87 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -79,6 +79,7 @@ * [Kosaraju](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/kosaraju.cpp) * [Kruskal](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/Kruskal.cpp) * [Lca](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/lca.cpp) + * [Prim](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/prim.cpp) * [Topological-Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/Topological-Sort.cpp) ## Greedy Algorithms From 3f87fcc4b67ef0ca69eb8c8bc536e8a51108ac32 Mon Sep 17 00:00:00 2001 From: coderanant Date: Thu, 21 May 2020 23:29:52 +0530 Subject: [PATCH 46/79] feat: add algorithm to check number of components with the help of Union Find Structure --- graph/connected_components_with_dsu.cpp | 53 +++++++++++++++++++++++++ 1 file changed, 53 insertions(+) create mode 100644 graph/connected_components_with_dsu.cpp diff --git a/graph/connected_components_with_dsu.cpp b/graph/connected_components_with_dsu.cpp new file mode 100644 index 000000000..f06f1beb9 --- /dev/null +++ b/graph/connected_components_with_dsu.cpp @@ -0,0 +1,53 @@ +#include +#include +#include + +int N; // denotes number of nodes; +int parent[1000001]; +int siz[1000001]; +void make_set() { // function the initialize every node as it's own parent + for (int i = 1; i <= N; i++) { + parent[i] = i; + siz[i] = 1; + } +} +// To find the component where following node belongs to +int find_set(int v) { + if (v == parent[v]) + return v; + return parent[v] = find_set(parent[v]); +} + +void union_sets(int a, int b) { // To join 2 components to belong to one + a = find_set(a); + b = find_set(b); + if (a != b) { + if (siz[a] < siz[b]) + std::swap(a, b); + parent[b] = a; + siz[a] += siz[b]; + } +} + +int no_of_connected_components() { // To find total no of connected components + std::set temp; // temp set to count number of connected components + for (int i = 1; i <= N; i++) + temp.insert(find_set(i)); + return temp.size(); +} + +// All critical/corner cases have been taken care of. +// Input your required values: (not hardcoded) +int32_t main() { + std::cin >> N; + make_set(); + int edges; + std::cin >> edges; // no of edges in the graph + while (edges--) { + int node_a, node_b; + std::cin >> node_a >> node_b; + union_sets(node_a, node_b); + } + std::cout << no_of_connected_components() << std::endl; + return 0; +} From 19be84cf588944f1a5b6755b0cc0b6764c08323d Mon Sep 17 00:00:00 2001 From: coderanant Date: Fri, 22 May 2020 00:49:03 +0530 Subject: [PATCH 47/79] fix bug --- graph/connected_components_with_dsu.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/graph/connected_components_with_dsu.cpp b/graph/connected_components_with_dsu.cpp index f06f1beb9..d8d0b011b 100644 --- a/graph/connected_components_with_dsu.cpp +++ b/graph/connected_components_with_dsu.cpp @@ -38,7 +38,7 @@ int no_of_connected_components() { // To find total no of connected components // All critical/corner cases have been taken care of. // Input your required values: (not hardcoded) -int32_t main() { +int main() { std::cin >> N; make_set(); int edges; From d3b60e0de80b288913d9d059e9a0aed38910cb92 Mon Sep 17 00:00:00 2001 From: coderanant Date: Fri, 22 May 2020 01:06:40 +0530 Subject: [PATCH 48/79] fix: dynamically allocate all arrays --- graph/connected_components_with_dsu.cpp | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/graph/connected_components_with_dsu.cpp b/graph/connected_components_with_dsu.cpp index d8d0b011b..2c5c6dab5 100644 --- a/graph/connected_components_with_dsu.cpp +++ b/graph/connected_components_with_dsu.cpp @@ -3,8 +3,8 @@ #include int N; // denotes number of nodes; -int parent[1000001]; -int siz[1000001]; +std::vector parent; +std::vector siz; void make_set() { // function the initialize every node as it's own parent for (int i = 1; i <= N; i++) { parent[i] = i; @@ -40,6 +40,8 @@ int no_of_connected_components() { // To find total no of connected components // Input your required values: (not hardcoded) int main() { std::cin >> N; + parent.resize(N + 1); + siz.resize(N + 1); make_set(); int edges; std::cin >> edges; // no of edges in the graph From 375298f11343746570fdf17263d5409cf8723f1c Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Thu, 21 May 2020 20:45:15 +0000 Subject: [PATCH 49/79] updating DIRECTORY.md --- DIRECTORY.md | 1 + 1 file changed, 1 insertion(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index 66d6b8e87..6da38d08b 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -73,6 +73,7 @@ ## Graph * [Bfs](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/BFS.cpp) * [Connected Components](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/connected_components.cpp) + * [Connected Components With Dsu](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/connected_components_with_dsu.cpp) * [Dfs](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/DFS.cpp) * [Dfs With Stack](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/DFS_with_stack.cc) * [Dijkstra](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/Dijkstra.cpp) From c07bea45620ce72fd313e5990a260cbaf74ac533 Mon Sep 17 00:00:00 2001 From: Dylan Robertson <31269647+RobotRage@users.noreply.github.com> Date: Fri, 22 May 2020 06:48:44 +1000 Subject: [PATCH 50/79] feat: added poisson_dist.cpp (#739) * added poisson_dist.cpp * https://en.wikipedia.org/wiki/Poisson_distribution Co-authored-by: Christian Clauss --- probability/poisson_dist.cpp | 66 ++++++++++++++++++++++++++++++++++++ 1 file changed, 66 insertions(+) create mode 100644 probability/poisson_dist.cpp diff --git a/probability/poisson_dist.cpp b/probability/poisson_dist.cpp new file mode 100644 index 000000000..345363368 --- /dev/null +++ b/probability/poisson_dist.cpp @@ -0,0 +1,66 @@ +#include +#include + +// The Poisson distribution counts how many +// events occur over a set time interval +// https://en.wikipedia.org/wiki/Poisson_distribution + +// calculate the events per unit time +// e.g 5 dollars every 2 mins = 5 / 2 = 2.5 + +double poisson_rate(double events, double timeframe) { + return events / timeframe; +} + +// calculate the expected value over a time +// e.g rate of 2.5 over 10 mins = 2.5 x 10 = 25 + +double poisson_expected(double rate, double time) { + return rate * time; +} + +// find the factorial of a given number + +double fact(double x) { + double x_fact = x; + for (int i = x - 1; i > 0; i--) { + x_fact *= i; + } + + if (x_fact <= 0) { + x_fact = 1; + } + return x_fact; +} + +// find the probability of x successes in a Poisson dist + +double poisson_x_successes(double expected, double x) { + return (pow(expected, x) * exp(-expected)) / fact(x); +} + +// probability of a success in range for Poisson dist (inclusive, inclusive) + +double poisson_range_successes(double expected, double lower, double upper) { + double probability = 0; + for (int i = lower; i <= upper; i++) { + probability += poisson_x_successes(expected, i); + } + return probability; +} + +int main() { + double rate, expected; + rate = poisson_rate(3, 1); + std::cout << "Poisson rate : " << rate << std::endl; + + expected = poisson_expected(rate, 2); + std::cout << "Poisson expected : " << expected << std::endl; + + std::cout << "Poisson 0 successes : " + < Date: Thu, 21 May 2020 20:49:02 +0000 Subject: [PATCH 51/79] updating DIRECTORY.md --- DIRECTORY.md | 1 + 1 file changed, 1 insertion(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index 6da38d08b..e53134202 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -152,6 +152,7 @@ ## Probability * [Addition Rule](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/probability/addition_rule.cpp) + * [Poisson Dist](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/probability/poisson_dist.cpp) ## Range Queries * [Bit](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/range_queries/bit.cpp) From e5af368065c9fb80774c18c461bf3e0e9dd243a6 Mon Sep 17 00:00:00 2001 From: Samrat De Date: Fri, 22 May 2020 09:07:04 +0530 Subject: [PATCH 52/79] wrapped all the functions inside a class --- data_structure/doubly_linked_list.cpp | 39 ++++++++++++++++++--------- 1 file changed, 26 insertions(+), 13 deletions(-) diff --git a/data_structure/doubly_linked_list.cpp b/data_structure/doubly_linked_list.cpp index a333bd374..78c322b76 100644 --- a/data_structure/doubly_linked_list.cpp +++ b/data_structure/doubly_linked_list.cpp @@ -1,14 +1,26 @@ #include +#include +#include struct node { int val; node *prev; node *next; +}*start; + +class double_linked_list { + public: + double_linked_list() { + start = NULL; + } + void insert(int x); + void remove(int x); + void search(int x); + void show(); + void reverseShow(); }; -node *start; - -void insert(int x) { +void double_linked_list::insert(int x) { node *t = start; if (start != NULL) { while (t->next != NULL) { @@ -28,7 +40,7 @@ void insert(int x) { } } -void remove(int x) { +void double_linked_list::remove(int x) { node *t = start; while (t != NULL && t->val != x) { t = t-> next; @@ -51,7 +63,7 @@ void remove(int x) { } } -void search(int x) { +void double_linked_list::search(int x) { node *t = start; int found = 0; while (t != NULL) { @@ -67,7 +79,7 @@ void search(int x) { } } -void show() { +void double_linked_list::show() { node *t = start; while (t != NULL) { std::cout << t->val << "\t"; @@ -75,9 +87,9 @@ void show() { } } -void reverseShow() { +void double_linked_list::reverseShow() { node *t = start; - while (t->next != NULL) { + while (t != NULL && t->next != NULL) { t = t->next; } while (t != NULL) { @@ -88,6 +100,7 @@ void reverseShow() { int main() { int choice, x; + double_linked_list ob; do { std::cout << "\n1. Insert"; std::cout << "\n2. Delete"; @@ -100,23 +113,23 @@ int main() { case 1: std::cout << "\nEnter the element to be inserted : "; std::cin >> x; - insert(x); + ob.insert(x); break; case 2: std::cout << "\nEnter the element to be removed : "; std::cin >> x; - remove(x); + ob.remove(x); break; case 3: std::cout << "\nEnter the element to be searched : "; std::cin >> x; - search(x); + ob.search(x); break; case 4: - show(); + ob.show(); break; case 5: - reverseShow(); + ob.reverseShow(); break; } } while (choice != 0); From a67f9278e3cf8e0b317125c4d4e5fd4988a3a9d7 Mon Sep 17 00:00:00 2001 From: Samrat De Date: Fri, 22 May 2020 09:11:56 +0530 Subject: [PATCH 53/79] wrapped all the functions inside a class --- data_structure/doubly_linked_list.cpp | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/data_structure/doubly_linked_list.cpp b/data_structure/doubly_linked_list.cpp index 78c322b76..805516a6f 100644 --- a/data_structure/doubly_linked_list.cpp +++ b/data_structure/doubly_linked_list.cpp @@ -9,15 +9,15 @@ struct node { }*start; class double_linked_list { - public: - double_linked_list() { - start = NULL; - } - void insert(int x); - void remove(int x); - void search(int x); - void show(); - void reverseShow(); + public: + double_linked_list() { + start = NULL; + } + void insert(int x); + void remove(int x); + void search(int x); + void show(); + void reverseShow(); }; void double_linked_list::insert(int x) { From 3df1f82bf6439cd1539b2c48e917dfc27173b059 Mon Sep 17 00:00:00 2001 From: Samrat De Date: Fri, 22 May 2020 09:14:31 +0530 Subject: [PATCH 54/79] wrapped all the functions inside a class --- data_structure/doubly_linked_list.cpp | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/data_structure/doubly_linked_list.cpp b/data_structure/doubly_linked_list.cpp index 805516a6f..17ea2983a 100644 --- a/data_structure/doubly_linked_list.cpp +++ b/data_structure/doubly_linked_list.cpp @@ -9,15 +9,15 @@ struct node { }*start; class double_linked_list { - public: - double_linked_list() { - start = NULL; - } - void insert(int x); - void remove(int x); - void search(int x); - void show(); - void reverseShow(); + public: + double_linked_list() { + start = NULL; + } + void insert(int x); + void remove(int x); + void search(int x); + void show(); + void reverseShow(); }; void double_linked_list::insert(int x) { From 90c246035f8c09e6ba0dda4ea7f67008f0283bb1 Mon Sep 17 00:00:00 2001 From: Samrat De Date: Fri, 22 May 2020 09:21:03 +0530 Subject: [PATCH 55/79] wrapped all the functions inside a class --- data_structure/doubly_linked_list.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/data_structure/doubly_linked_list.cpp b/data_structure/doubly_linked_list.cpp index 17ea2983a..f8d4d83a2 100644 --- a/data_structure/doubly_linked_list.cpp +++ b/data_structure/doubly_linked_list.cpp @@ -11,7 +11,7 @@ struct node { class double_linked_list { public: double_linked_list() { - start = NULL; + start = NULL; } void insert(int x); void remove(int x); From c18c3c129aeedb0631b72dea27ded94e3057aaeb Mon Sep 17 00:00:00 2001 From: Samrat De Date: Fri, 22 May 2020 09:23:02 +0530 Subject: [PATCH 56/79] wrapped all the functions inside a class --- data_structure/doubly_linked_list.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/data_structure/doubly_linked_list.cpp b/data_structure/doubly_linked_list.cpp index f8d4d83a2..17ea2983a 100644 --- a/data_structure/doubly_linked_list.cpp +++ b/data_structure/doubly_linked_list.cpp @@ -11,7 +11,7 @@ struct node { class double_linked_list { public: double_linked_list() { - start = NULL; + start = NULL; } void insert(int x); void remove(int x); From 8978cd0653745a89812d4c1143015f5e022df6a6 Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Fri, 22 May 2020 10:14:37 +0000 Subject: [PATCH 57/79] updating DIRECTORY.md --- DIRECTORY.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/DIRECTORY.md b/DIRECTORY.md index e53134202..1beaebe69 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -26,7 +26,7 @@ * [Cll](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/data_structure/cll/cll.h) * [Main Cll](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/data_structure/cll/main_cll.cpp) * [Disjoint Set](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/data_structure/disjoint_set.cpp) - * [Doubly Linked List](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/data_structure/Doubly%20Linked%20List.cpp) + * [Doubly Linked List](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/data_structure/doubly_linked_list.cpp) * [Linked List](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/data_structure/linked_list.cpp) * [Linkedlist Implentation Usingarray](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/data_structure/linkedList_implentation_usingArray.cpp) * [List Array](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/data_structure/List%20Array.cpp) From 62b8c5162b4914d7fef2333955e61033611288be Mon Sep 17 00:00:00 2001 From: Amit Kumar Date: Fri, 22 May 2020 15:45:29 +0530 Subject: [PATCH 58/79] feat: added rabin_karp algorithm for string match (#779) * feat: added rabin_karp algorithm for string match * feat: added rabin_karp algorithm for string match * feat: added rabin_karp algorithm for string match * Update rabin_karp.cpp Co-authored-by: Christian Clauss --- strings/rabin_karp.cpp | 78 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 78 insertions(+) create mode 100644 strings/rabin_karp.cpp diff --git a/strings/rabin_karp.cpp b/strings/rabin_karp.cpp new file mode 100644 index 000000000..62e3691c1 --- /dev/null +++ b/strings/rabin_karp.cpp @@ -0,0 +1,78 @@ +/* + * file name : rabin_karp.cpp + * author : Amit Kumar + * Copyright : 2020 , Amit Kumar + * version : 1.0 + */ +#include +#include +#include +#include + +using std::string; +using std::pow; + +#define PRIME 5 + +int64_t create_hash(string s , int n) { + int64_t result = 0; + for ( int i = 0; i < n; ++i ) { + result += (int64_t)(s[i] * (int64_t)pow(PRIME , i)); + } + return result; +} + +int64_t recalculate_hash(string s , int old_index , + int new_index , int64_t old_hash , int patLength) { + int64_t new_hash = old_hash - s[old_index]; + new_hash /= PRIME; + new_hash += (int64_t)(s[new_index]*(int64_t)pow(PRIME, patLength-1)); + return new_hash; +} + +bool check_if_equal(string str1 , string str2 , + int start1 , int end1 , + int start2 , int end2) { + if (end1-start1 != end2-start2) { + return false; + } + while (start1 <= end1 && start2 <= end2) { + if (str1[start1] != str2[start2]) { + return false; + } + start1++; + start2++; + } + return true; +} + +/* + * @description : search pattern in the given text + * @param : string str + * @param : string pat + * @return index of first occurrence of pattern or -1 if pattern not found + */ + +int rabin_karp(const string &str , const string& pat) { + int64_t pat_hash = create_hash(pat , pat.size()); + int64_t str_hash = create_hash(str , pat.size()); + for (int i=0; i <= str.size()-pat.size(); ++i) { + if (pat_hash == str_hash && + check_if_equal(str , pat , i , i+pat.size()-1 , 0 , pat.size()-1)) { + return i; + } + if (i < str.size()-pat.size()) { + str_hash = + recalculate_hash(str, i, i+pat.size(), str_hash, pat.size()); + } + } + return -1; // return -1 if given pattern not found +} + +int main(void) { + assert(rabin_karp("helloWorld", "world") == -1); + assert(rabin_karp("helloWorld", "World") == 5); + assert(rabin_karp("this_is_c++" , "c++") == 8); + assert(rabin_karp("happy_coding", "happy") == 0); + return 0; +} From 2ebeb3673b5118344732ca2114ee1576d348ee1d Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Fri, 22 May 2020 10:15:46 +0000 Subject: [PATCH 59/79] updating DIRECTORY.md --- DIRECTORY.md | 1 + 1 file changed, 1 insertion(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index 1beaebe69..2ac65e4e1 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -198,3 +198,4 @@ ## Strings * [Brute Force String Searching](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/strings/brute_force_string_searching.cpp) * [Knuth Morris Pratt](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/strings/knuth_morris_pratt.cpp) + * [Rabin Karp](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/strings/rabin_karp.cpp) From 77ba693cea9094b596ba3328c794e379fb5ae634 Mon Sep 17 00:00:00 2001 From: Aashish <37924603+aashishtri@users.noreply.github.com> Date: Fri, 22 May 2020 19:43:50 +0530 Subject: [PATCH 60/79] Create topological_sort_by_kahns_algo.cpp (#778) * Create topological_sort_by_kahns_algo.cpp implementation of topological sorting by kahn's algo * Update topological_sort_by_kahns_algo put c system headers before c++ system headers * Update topological_sort_by_kahns_algo.cpp improves syntax (tabs/whitespaces etc) * Update topological_sort_by_kahns_algo.cpp removed errors * Update graph/topological_sort_by_kahns_algo.cpp improved syntax Co-authored-by: Christian Clauss * Fix indentation * Fix include order Co-authored-by: Christian Clauss --- graph/topological_sort_by_kahns_algo.cpp | 68 ++++++++++++++++++++++++ 1 file changed, 68 insertions(+) create mode 100644 graph/topological_sort_by_kahns_algo.cpp diff --git a/graph/topological_sort_by_kahns_algo.cpp b/graph/topological_sort_by_kahns_algo.cpp new file mode 100644 index 000000000..eda2a74bc --- /dev/null +++ b/graph/topological_sort_by_kahns_algo.cpp @@ -0,0 +1,68 @@ +#include +#include +#include +#include +#include + +int *topoSortKahn(int N, std::vector adj[]); + +int main() { + int nodes, edges; + std::cin >> edges >> nodes; + if (edges == 0 || nodes == 0) + return 0; + int u, v; + + std::vectorgraph[nodes]; + // create graph + // example + // 6 6 + // 5 0 5 2 2 3 4 0 4 1 1 3 + + for (int i = 0; i < edges; i++) { + std::cin >> u >> v; + graph[u].push_back(v); + } + + int *topo = topoSortKahn(nodes, graph); + // topologically sorted nodes + for (int i = 0; i < nodes; i++) { + std::cout << topo[i] << " "; + } +} + +int* topoSortKahn(int V, std::vector adj[]) { + std::vectorvis(V+1, false); + std::vectordeg(V+1, 0); + for (int i = 0; i < V; i++) { + for (int j = 0; j < adj[i].size(); j++) { + deg[adj[i][j]]++; + } + } + std::queueq; + for (int i = 0; i < V; i++) { + if (deg[i] == 0) { + q.push(i); + vis[i] = true; + } + } + int *arr = new int[V+1]; + memset(arr, 0, V+1); + int count = 0; + while (!q.empty()) { + int cur = q.front(); + q.pop(); + arr[count] = cur; + count++; + for (int i = 0; i < adj[cur].size(); i++) { + if (!vis[adj[cur][i]]) { + deg[adj[cur][i]]--; + if (deg[adj[cur][i]] == 0) { + q.push(adj[cur][i]); + vis[adj[cur][i]] = true; + } + } + } + } + return arr; +} From a4e1d4c6c1b32887ca79eaec7e58e49328b84b8a Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Fri, 22 May 2020 14:14:06 +0000 Subject: [PATCH 61/79] updating DIRECTORY.md --- DIRECTORY.md | 1 + 1 file changed, 1 insertion(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index 2ac65e4e1..b35ff9991 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -82,6 +82,7 @@ * [Lca](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/lca.cpp) * [Prim](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/prim.cpp) * [Topological-Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/Topological-Sort.cpp) + * [Topological Sort By Kahns Algo](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/topological_sort_by_kahns_algo.cpp) ## Greedy Algorithms * [Dijkstra](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/greedy_algorithms/Dijkstra.cpp) From 4f45890e506960c393f21ee199329471cdff27f9 Mon Sep 17 00:00:00 2001 From: Christian Clauss Date: Sat, 23 May 2020 18:12:44 +0200 Subject: [PATCH 62/79] Update .gitignore --- .gitignore | 1 + 1 file changed, 1 insertion(+) diff --git a/.gitignore b/.gitignore index 1a5f7b618..ed3934e45 100644 --- a/.gitignore +++ b/.gitignore @@ -30,5 +30,6 @@ # Executables *.exe +a.out *.out *.app From 1c19d850e055e614816b28ea567d73ea8a27df82 Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Sat, 23 May 2020 16:13:05 +0000 Subject: [PATCH 63/79] updating DIRECTORY.md --- DIRECTORY.md | 16 ++++++++++++++++ 1 file changed, 16 insertions(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index bf04997f0..2c85e65a3 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -4,6 +4,7 @@ * [Knight Tour](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/backtracking/knight_tour.cpp) * [Minimax](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/backtracking/minimax.cpp) * [N Queens](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/backtracking/n_queens.cpp) + * [N Queens All Solution Optimised](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/backtracking/n_queens_all_solution_optimised.cpp) * [Nqueen Print All Solutions](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/backtracking/nqueen_print_all_solutions.cpp) * [Rat Maze](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/backtracking/rat_maze.cpp) * [Sudoku Solve](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/backtracking/sudoku_solve.cpp) @@ -13,6 +14,7 @@ * [False-Position](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/computer_oriented_statistical_methods/false-position.cpp) * [Gaussian Elimination](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/computer_oriented_statistical_methods/Gaussian_elimination.cpp) * [Newton Raphson](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/computer_oriented_statistical_methods/Newton_Raphson.CPP) + * [Ordinary Least Squares Regressor](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/computer_oriented_statistical_methods/ordinary_least_squares_regressor.cpp) * [Secant Method](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/computer_oriented_statistical_methods/Secant_method.CPP) * [Successive Approximation](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/computer_oriented_statistical_methods/successive_approximation.CPP) @@ -99,8 +101,14 @@ ## Math * [Binary Exponent](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/binary_exponent.cpp) + * [Double Factorial](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/double_factorial.cpp) * [Eulers Totient Function](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/eulers_totient_function.cpp) * [Extended Euclid Algorithm](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/extended_euclid_algorithm.cpp) + +## Math + * [Factorial](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/Math/factorial.cpp) + +## Math * [Factorial](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/factorial.cpp) * [Fast Power](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/fast_power.cpp) * [Fibonacci](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/fibonacci.cpp) @@ -153,6 +161,8 @@ ## Probability * [Addition Rule](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/probability/addition_rule.cpp) + * [Bayes Theorem](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/probability/bayes_theorem.cpp) + * [Binomial Dist](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/probability/binomial_dist.cpp) * [Poisson Dist](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/probability/poisson_dist.cpp) ## Range Queries @@ -167,6 +177,12 @@ * [Hash Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/hash_search.cpp) * [Interpolation Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/Interpolation%20Search.cpp) * [Interpolation Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/interpolation_search.cpp) + +## Search + * [Jump Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/Search/jump_search.cpp) + * [Jump Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/Search/Jump_Search.cpp) + +## Search * [Linear Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/Linear%20Search.cpp) * [Median Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/median_search.cpp) * [Searching](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/searching.cpp) From 4a67b974d2e1ca82e1c10764b72363164ac9680e Mon Sep 17 00:00:00 2001 From: Christian Clauss Date: Sun, 24 May 2020 06:39:18 +0200 Subject: [PATCH 64/79] .vscode: Set C_Cpp.clang_format_style --- .vscode/settings.json | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/.vscode/settings.json b/.vscode/settings.json index 8b117a5fd..0ab2708d0 100644 --- a/.vscode/settings.json +++ b/.vscode/settings.json @@ -63,5 +63,9 @@ "utility": "cpp", "valarray": "cpp", "algorithm": "cpp" - } -} \ No newline at end of file + }, + "C_Cpp.clang_format_style": "{BasedOnStyle: Google, IndentWidth: 4, ColumnLimit: 80, UseTab: Never}", + "editor.formatOnSave": true, + "editor.formatOnType": true, + "editor.formatOnPaste": true +} From f487a980774c4085aaf4b7b1c472c8de21053faa Mon Sep 17 00:00:00 2001 From: Christian Clauss Date: Sun, 24 May 2020 06:41:50 +0200 Subject: [PATCH 65/79] Delete factorial.exe --- Math/factorial.exe | Bin 1564138 -> 0 bytes 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 Math/factorial.exe diff --git a/Math/factorial.exe b/Math/factorial.exe deleted file mode 100644 index 14203b0d6f886bd45e44c4e54406feae4f83923b..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 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z&wGO`t$cT-m4SlXZZLBa*(fxS&kv$6H*4I;f@zI!18OBO1{ZGm@$au-T%0oL=Tmry zdLFrX${gQ%6&SxoTHV$}1u>6VT_IK6a1{x~z*Q98K3go1GMLZ>d|0*GU{dAg4skR( zraV`cQJ@ezOQ zx5-N=H$Jzqiecjwsa~e%^(%>)cI{hhn3=;E!597(MD0q!bb=L_#R9iLS(LfM`Fye4 z$kCgGRMeqVZt~QT$F2}4m_V%tXOeoS1+_*9)LYDx5D^CT?4mqV(vLc$N;K9Hsc;@8 z5Y)nY$izYQMm8=8( Date: Sun, 24 May 2020 06:42:31 +0200 Subject: [PATCH 66/79] Delete factorial.cpp --- Math/factorial.cpp | 18 ------------------ 1 file changed, 18 deletions(-) delete mode 100644 Math/factorial.cpp diff --git a/Math/factorial.cpp b/Math/factorial.cpp deleted file mode 100644 index 49748fb42..000000000 --- a/Math/factorial.cpp +++ /dev/null @@ -1,18 +0,0 @@ -#include -using namespace std; - -int main() -{ - int n; - cout<<"Enter number = "; - cin>>n; - int num=1; - for(int i=1;i Date: Sun, 24 May 2020 11:52:29 +0530 Subject: [PATCH 72/79] feat : bridge finding with tarjan algorithm --- .../bridge_finding_with_tarjan_algorithm.cpp | 79 +++++++++++++++++++ 1 file changed, 79 insertions(+) create mode 100644 graph/bridge_finding_with_tarjan_algorithm.cpp diff --git a/graph/bridge_finding_with_tarjan_algorithm.cpp b/graph/bridge_finding_with_tarjan_algorithm.cpp new file mode 100644 index 000000000..ca124f512 --- /dev/null +++ b/graph/bridge_finding_with_tarjan_algorithm.cpp @@ -0,0 +1,79 @@ +/* + * Copyright : 2020 , MIT + * Author : Amit Kumar (offamitkumar) + * Last Modified Date: May 24, 2020 + * + */ +#include // for std::vector +#include // for min & max +#include // for cout +using std::vector; +using std::cout; +using std::min; +class Solution { + vector < vector < int > > graph; + vectorin_time , out_time; + int timer; + vector < vector < int > > bridge; + vectorvisited; + void dfs(int current_node , int parent) { + visited.at(current_node) = true; + in_time[current_node] = out_time[current_node] = timer++; + for ( auto&itr : graph[current_node] ) { + if (itr == parent) { + continue; + } + if (!visited[itr]) { + dfs(itr , current_node); + if (out_time[itr] > in_time[current_node]) { + bridge.push_back({itr, current_node}); + } + } + out_time[current_node] = min(out_time[current_node], out_time[itr]); + } + } + + public: + vector > search_bridges(int n, + const vector>& connections) { + timer = 0; + graph.resize(n); + in_time.assign(n, 0); + visited.assign(n, false); + out_time.assign(n, 0); + for (auto&itr : connections) { + graph.at(itr[0]).push_back(itr[1]); + graph.at(itr[1]).push_back(itr[0]); + } + dfs(0, -1); + return bridge; + } +}; +int main(void) { + Solution s1; + int number_of_node = 5; + vector< vector >node; + node.push_back({0, 1}); + node.push_back({1, 3}); + node.push_back({1, 2}); + node.push_back({2, 4}); + /* + * 0 <--> 1 <---> 2 + * ^ ^ + * | | + * | | + * \/ \/ + * 3 4 + * + * In this graph there are 4 bridges [0,2] , [2,4] , [3,5] , [1,2] + * + * I assumed that the graph is bi-directional and connected. + * + */ + vector< vector > bridges = s1.search_bridges(number_of_node , node); + cout << bridges.size() << " bridges found!\n"; + for (auto&itr : bridges) { + cout << itr[0] << " --> " << itr[1] << '\n'; + } + return 0; +} From 9530dddacc19ad5fe22cc8fb3c261a435b5db628 Mon Sep 17 00:00:00 2001 From: Christian Clauss Date: Sun, 24 May 2020 08:47:27 +0200 Subject: [PATCH 73/79] Delete Jump_Search.cpp --- Search/Jump_Search.cpp | 54 ------------------------------------------ 1 file changed, 54 deletions(-) delete mode 100644 Search/Jump_Search.cpp diff --git a/Search/Jump_Search.cpp b/Search/Jump_Search.cpp deleted file mode 100644 index 44ddcd705..000000000 --- a/Search/Jump_Search.cpp +++ /dev/null @@ -1,54 +0,0 @@ -// C++ program to implement Jump Search - -#include -using namespace std; - -int jumpSearch(int arr[], int x, int n) -{ - // Finding block size to be jumped - int step = sqrt(n); - - // Finding the block where element is - // present (if it is present) - int prev = 0; - while (arr[min(step, n)-1] < x) - { - prev = step; - step += sqrt(n); - if (prev >= n) - return -1; - } - - // Doing a linear search for x in block - // beginning with prev. - while (arr[prev] < x) - { - prev++; - - // If we reached next block or end of - // array, element is not present. - if (prev == min(step, n)) - return -1; - } - // If element is found - if (arr[prev] == x) - return prev; - - return -1; -} - -// Driver program to test function -int main() -{ - int arr[] = { 0, 1, 1, 2, 3, 5, 8, 13, 21, - 34, 55, 89, 144, 233, 377, 610 }; - int x = 55; - int n = sizeof(arr) / sizeof(arr[0]); - - // Find the index of 'x' using Jump Search - int index = jumpSearch(arr, x, n); - - // Print the index where 'x' is located - cout << "\nNumber " << x << " is at index " << index; - return 0; -} From b1bacb03b5c7f31b3fae134bb3503daa2e1927f7 Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Sun, 24 May 2020 06:47:38 +0000 Subject: [PATCH 74/79] updating DIRECTORY.md --- DIRECTORY.md | 5 ----- 1 file changed, 5 deletions(-) diff --git a/DIRECTORY.md b/DIRECTORY.md index 7859a22b0..fc56963c1 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -173,11 +173,6 @@ * [Interpolation Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/Interpolation%20Search.cpp) * [Interpolation Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/interpolation_search.cpp) * [Jump Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/jump_search.cpp) - -## Search - * [Jump Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/Search/Jump_Search.cpp) - -## Search * [Linear Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/Linear%20Search.cpp) * [Median Search](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/median_search.cpp) * [Searching](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/searching.cpp) From 2f68e1a7a33a5c9a6d104a8211581a5bb9928b23 Mon Sep 17 00:00:00 2001 From: Christian Clauss Date: Sun, 24 May 2020 08:52:09 +0200 Subject: [PATCH 75/79] Update CONTRIBUTION.md --- CONTRIBUTION.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/CONTRIBUTION.md b/CONTRIBUTION.md index 7f72b39e8..9f0205bfd 100644 --- a/CONTRIBUTION.md +++ b/CONTRIBUTION.md @@ -12,7 +12,9 @@ We are very happy that you consider implementing algorithms and data structures - You submitted work fulfils or mostly fulfils our styles and standards. **New implementation** New implementation are welcome! + **Improving comments** and **adding tests** to existing algorithms are much appreciated. + **Issues** Please avoid opening issues asking to be "assigned” to a particular algorithm. This merely creates unnecessary noise for maintainers. Instead, please submit your implementation in a pull request and it will be evaluated by project maintainers. ### Making Changes From 258200ec9fe098f2657fa250a062dc11ab40740f Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Sun, 24 May 2020 12:09:31 +0000 Subject: [PATCH 76/79] updating DIRECTORY.md --- DIRECTORY.md | 1 + 1 file changed, 1 insertion(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index fc56963c1..ddbfd06d8 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -74,6 +74,7 @@ ## Graph * [Bfs](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/BFS.cpp) + * [Bridge Finding With Tarjan Algorithm](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/bridge_finding_with_tarjan_algorithm.cpp) * [Connected Components](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/connected_components.cpp) * [Connected Components With Dsu](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/connected_components_with_dsu.cpp) * [Dfs](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/DFS.cpp) From 1f07064a78801208e257ac4113db89651cfd3ba9 Mon Sep 17 00:00:00 2001 From: Amit Kumar Date: Mon, 25 May 2020 20:47:55 +0530 Subject: [PATCH 77/79] feat : find maximum flow in a graph (#791) * feat : find maximum flow in a graph * updated : find maximum flow in a graph * updated name - conventions * updated some suitable namings --- ...th_ford_fulkerson_and_edmond_karp_algo.cpp | 122 ++++++++++++++++++ 1 file changed, 122 insertions(+) create mode 100644 graph/max_flow_with_ford_fulkerson_and_edmond_karp_algo.cpp diff --git a/graph/max_flow_with_ford_fulkerson_and_edmond_karp_algo.cpp b/graph/max_flow_with_ford_fulkerson_and_edmond_karp_algo.cpp new file mode 100644 index 000000000..ee394d9f0 --- /dev/null +++ b/graph/max_flow_with_ford_fulkerson_and_edmond_karp_algo.cpp @@ -0,0 +1,122 @@ +/* + * Author: Amit Kumar + * Created: May 24, 2020 + * Copyright: 2020, Open-Source + * Last Modified: May 25, 2020 + */ +#include +#include +#include +#include +#include +#include +#include +#include +#include +// std::max capacity of node in graph +const int MAXN = 505; +class Graph { + int residual_capacity[MAXN][MAXN]; + int capacity[MAXN][MAXN]; // used while checking the flow of edge + int total_nodes; + int total_edges, source, sink; + int parent[MAXN]; + std::vector >edge_participated; + std::bitset visited; + int max_flow = 0; + bool bfs(int source, int sink) { // to find the augmented - path + memset(parent, -1, sizeof(parent)); + visited.reset(); + std::queueq; + q.push(source); + bool is_path_found = false; + while (q.empty() == false && is_path_found == false) { + int current_node = q.front(); + visited.set(current_node); + q.pop(); + for (int i = 0; i < total_nodes; ++i) { + if (residual_capacity[current_node][i] > 0 && !visited[i]) { + visited.set(i); + parent[i] = current_node; + if (i == sink) { + return true; + } + q.push(i); + } + } + } + return false; + } + + public: + Graph() { + memset(residual_capacity, 0, sizeof(residual_capacity)); + } + void set_graph(void) { + std::cin >> total_nodes >> total_edges >> source >> sink; + for (int start, destination, capacity_, i = 0; i < total_edges; ++i) { + std::cin >> start >> destination >> capacity_; + residual_capacity[start][destination] = capacity_; + capacity[start][destination] = capacity_; + } + } + void ford_fulkerson(void) { + while (bfs(source, sink)) { + int current_node = sink; + int flow = std::numeric_limits::max(); + while (current_node != source) { + int parent_ = parent[current_node]; + flow = std::min(flow, residual_capacity[parent_][current_node]); + current_node = parent_; + } + current_node = sink; + max_flow += flow; + while ( current_node != source ) { + int parent_ = parent[current_node]; + residual_capacity[parent_][current_node] -= flow; + residual_capacity[current_node][parent_] += flow; + current_node = parent_; + } + } + } + void print_flow_info(void) { + for (int i = 0; i < total_nodes; ++i) { + for (int j = 0; j < total_nodes; ++j) { + if (capacity[i][j] && + residual_capacity[i][j] < capacity[i][j]) { + edge_participated.push_back( + std::make_tuple(i, j, + capacity[i][j]-residual_capacity[i][j])); + } + } + } + std::cout << "\nNodes : " << total_nodes + << "\nMax flow: " << max_flow + << "\nEdge present in flow: " << edge_participated.size() + << '\n'; + std::cout<< "\nSource\tDestination\tCapacity\total_nodes"; + for (auto&edge_data : edge_participated) { + int source, destination, capacity_; + std::tie(source, destination, capacity_) = edge_data; + std::cout << source << "\t" << destination << "\t\t" + << capacity_ <<'\t'; + } + } +}; +int main(void) { + /* + Input Graph: (for testing ) + 4 5 0 3 + 0 1 10 + 1 2 1 + 1 3 1 + 0 2 1 + 2 3 10 + */ + Graph graph; + graph.set_graph(); + graph.ford_fulkerson(); + graph.print_flow_info(); + return 0; +} + From 6b55d4472f4b1685918e191a3d05a680ab00f7fd Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Mon, 25 May 2020 15:18:11 +0000 Subject: [PATCH 78/79] updating DIRECTORY.md --- DIRECTORY.md | 1 + 1 file changed, 1 insertion(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index ddbfd06d8..9e36309dc 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -83,6 +83,7 @@ * [Kosaraju](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/kosaraju.cpp) * [Kruskal](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/Kruskal.cpp) * [Lca](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/lca.cpp) + * [Max Flow With Ford Fulkerson And Edmond Karp Algo](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/max_flow_with_ford_fulkerson_and_edmond_karp_algo.cpp) * [Prim](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/prim.cpp) * [Topological-Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/Topological-Sort.cpp) * [Topological Sort By Kahns Algo](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/topological_sort_by_kahns_algo.cpp) From 030348a284415e04315b4ee865da47d7bce74fdd Mon Sep 17 00:00:00 2001 From: liushubin-gitHub <65377959+liushubin-gitHub@users.noreply.github.com> Date: Wed, 27 May 2020 10:03:54 +0800 Subject: [PATCH 79/79] Update doubly_linked_list.cpp when remove an item , should free the item memory --- data_structure/doubly_linked_list.cpp | 1 + 1 file changed, 1 insertion(+) diff --git a/data_structure/doubly_linked_list.cpp b/data_structure/doubly_linked_list.cpp index 17ea2983a..4fc38abfc 100644 --- a/data_structure/doubly_linked_list.cpp +++ b/data_structure/doubly_linked_list.cpp @@ -61,6 +61,7 @@ void double_linked_list::remove(int x) { t->prev->next = t->next; t->next->prev = t->prev; } + delete t; } void double_linked_list::search(int x) {