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Showing content from https://TheAlgorithms.github.io/C-Plus-Plus/de/dab/ncr__modulo__p_8cpp_source.html below:

TheAlgorithms/C++: math/ncr_modulo_p.cpp Source File

int64_t

(

int64_t& a,

int64_t& b, int64_t& x,

int64_t x1 = 0, y1 = 0;

x = y1 - (b / a) * x1;

int64_t

(

int64_t& a,

int64_t& m) {

std::vector<int64_t>

res = std::vector<int64_t>(max_arg_val + 1);

(int64_t i = 1; i <= max_arg_val; i++) {

res[i] = (res[i - 1] * i) % mod;

int64_t

(

int64_t& n,

int64_t& r)

{

(r == 0 || r == n) {

denominator = (

[r] *

[n - r]) % p;

(denominator_inv < 0) {

(

[n] * denominator_inv) % p;

int64_t expected;

(

int64_t size,

int64_t p,

int64_t n,

int64_t r,

int64_t expected)

: size(size), p(p), n(n), r(r), expected(expected) {}

std::vector<TestCase> test_cases = {

(60000, 1000000007, 52323, 26161, 224944353),

(1000, 13, 10, 3, 120 % 13),

(

& tc : test_cases) {

std::cout <<

;

int64_t size = 1e6 + 1;

int64_t p = 1e9 + 7;

(

i = 0; i <= 7; i++) {

std::cout << 6 <<

<< i <<

<< p <<

<< ncrObj.ncr(6, i)

Class which contains all methods required for calculating nCr mod p.

int64_t ncr(const int64_t &n, const int64_t &r) const

computes nCr % p

const std::vector< int64_t > fac

the p from (nCr % p)

NCRModuloP(const int64_t &size, const int64_t &p)

constructs an NCRModuloP object allowing to compute (nCr)p for inputs from 0 to size

static std::vector< int64_t > computeFactorialsMod(const int64_t &max_arg_val, const int64_t &mod)

stores precomputed factorial(i) % p value

int gcd(int num1, int num2)

int main()

Main function.

Functions for nCr modulo p implementation.

this namespace contains the definitions of the functions called from the class math::ncr_modulo_p::NC...

static void tests()

tests math::ncr_modulo_p::NCRModuloP

int64_t modInverse(const int64_t &a, const int64_t &m)

int64_t gcdExtended(const int64_t &a, const int64_t &b, int64_t &x, int64_t &y)

finds the values x and y such that a*x + b*y = gcd(a,b)

void example()

example showing the usage of the math::ncr_modulo_p::NCRModuloP class

represents single example inputs and expected output of the function longest_common_string_length

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