Grid paths

#include <bits/stdc++.h>

using namespace std;
using ll = long long;

// Debug printing
#ifdef DEBUG
#define deb(fmt, args...) printf("DEBUG: %d: " fmt, __LINE__, ##args)
#define debug_print(fmt, args...) printf(fmt, ##args)
#else
#define deb(fmt, args...)
#define debug_print(fmt, args...)
#endif

void print_array(vector<int> in, const string title = "Vector")
{
	debug_print("DEBUG: %s [\nDEBUG: ", title.c_str());
	for (unsigned int i = 0; i < in.size(); i++) {
		debug_print("%d ", in[i]);
	}
	debug_print("\nDEBUG: ] END\n");
}

void print_matrix(vector<vector<int>> in, const string title = "Matrix")
{
	debug_print("DEBUG: %s [\nDEBUG: ", title.c_str());
	for (unsigned int i = 0; i < in.size(); i++) {
		for (unsigned int j = 0; j < in[i].size(); j++) {
			debug_print("%d ", in[i][j]);
		}
		debug_print("\nDEBUG: ");
	}
	debug_print("DEBUG: ] END\n");
}

ll exp(ll a, ll b)
{
	int mod = 998244353;
	if (b == 0) return 1;
	if (b == 1) return a;
	if (b & 1) {
		ll res = (a * exp(a, b-1)) % mod;
		return res;
	} else {
		ll res = exp(a, b / 2);
		res = (res * res) % mod;
		return res;
	}
}

ll fact(ll a)
{
    if (a <= 1) return 1;
    return (fact(a - 1) * a) % 998244353;
}

int main(int argc, char *argv[])
{
	ios::sync_with_stdio(0);
	cin.tie(0);

	// Read the input parameters
	int x, y, z;
	cin >> x >> y >> z;

	ll mod = 998244353;
	// vector<int> nums = {x, y, z};
	// sort(nums.begin(), nums.end());
	ll n = x + y + z;
	ll top = fact(n);
	ll k1 = fact(x);
	ll k2 = fact(y);
	ll k3 = fact(z);
	ll down = (k1 * k2) % mod;
	down = down * k3 % mod;
	ll inv = exp(down, mod - 2);
	ll res = (top * inv) % mod;
	cout << res << "\n";

	return 0;
}

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: ACCEPTED

Test 4

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Test 5

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Test 6

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Test 7

Verdict: ACCEPTED

Test 8

Verdict: ACCEPTED

Test 9

Verdict: ACCEPTED

Test 10

Verdict: ACCEPTED

Test 11

Verdict: ACCEPTED

Test 12

Verdict: ACCEPTED

Test 13

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Test 14

Verdict: ACCEPTED

Test 15

Verdict: ACCEPTED

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Verdict: ACCEPTED

Test 17

Verdict: ACCEPTED

Test 18

Verdict: ACCEPTED

Test 19

Verdict: ACCEPTED

Test 20

Verdict: ACCEPTED

Test 21

Verdict: ACCEPTED

Test 22

Verdict: ACCEPTED

Test 23

Verdict: ACCEPTED

Test 24

Verdict: ACCEPTED

Test 25

Verdict: ACCEPTED

Test 26

Verdict: ACCEPTED

Test 27

Verdict: ACCEPTED

Test 28

Verdict: ACCEPTED

Test 29

Verdict: ACCEPTED

Test 30

Verdict: ACCEPTED

Test 31

Verdict: ACCEPTED

Test 32

Verdict: ACCEPTED

Test 33

Verdict: ACCEPTED

Test 34

Verdict: ACCEPTED

Test 35

Verdict: ACCEPTED

Test 36

Verdict: ACCEPTED

Test 37

Verdict: ACCEPTED

Test 38

Verdict: ACCEPTED

Test 39

Verdict: ACCEPTED

Test 40

Verdict: ACCEPTED

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Test 42

Verdict: ACCEPTED

Test 43

Verdict: ACCEPTED

Test 44

Verdict: ACCEPTED

Test 45

Verdict: ACCEPTED

Test 46

Verdict: ACCEPTED

Test 47

Verdict: ACCEPTED

Test 48

Verdict: ACCEPTED

Test 49

Verdict: ACCEPTED

Test 50

Verdict: ACCEPTED

Test 51

Verdict: ACCEPTED

Test 52

Verdict: ACCEPTED

Test 53

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Test 62

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Test 69

Verdict: ACCEPTED

Test 70

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Test 72

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Test 75

Verdict: ACCEPTED

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Test 80

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Test 88

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Test 89

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Test 90

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Test 91

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Test 92

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Test 93

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Test 94

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Test 95

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Test 96

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Test 97

Verdict: ACCEPTED

Test 98

Verdict: ACCEPTED

Test 99

Verdict: ACCEPTED

Test 100

Verdict: ACCEPTED

Test 101

Verdict: ACCEPTED

Test 102

Verdict: ACCEPTED