Grid paths

#include <iostream>
#include <vector>
#include <array>
#include <string>
#include <algorithm>
#include <numeric>
#include <unordered_map>
#include <unordered_set>
#include <set>
#include <queue>
#include <climits>
#include <cmath>
#include <functional>
#include <type_traits>
#include <fstream>
#include <bitset>
#include <complex>
#include <iomanip>

#include <ext/pb_ds/assoc_container.hpp> // gcc only
template<typename T>
using ordered_set = __gnu_pbds::tree<T, __gnu_pbds::null_type, std::less<T>, __gnu_pbds::rb_tree_tag, __gnu_pbds::tree_order_statistics_node_update>;
 
#define int long long
using namespace std;
 
#define cross(x, y) (((x)*conj(y)).imag())
#define sign(v) ((0 < (v)) - ((v) < 0))



int p(int a, int b, int m)
{
    if (b == 0) return 1;
    else if (b % 2 == 0) { int r = p(a, b/2, m); return (r*r) % m; }
    else return (p(a, b-1, m)*a) % m; 
}
int gdc(int a, int b)
{
    if (b == 0) return a;
    return gdc(b, a%b);
}
 
int nCr(int n, int r, int mod)
{
    int res = 1;
    for (int i = 0; i < r; i++)
    {
        res *= (n-i);
        res *= p(i+1, mod-2, mod);
    }
    return res;
}
int mod = 998244353;


vector<int> nums;

void solve()
{
    int x, y, z;
    cin >> x >> y >> z;

    int n = x + y + z;
    
    int fact = 1;
    nums.resize(n+1);
    nums[0] = 1;
    for (int i = 1; i <= n; i++)
    {
        nums[i] = nums[i-1] * i;
        nums[i] %= mod;
        fact %= mod;
    }

    //int a = fact[n] * p((fact[n-x]*fact[x]) % mod, mod - 2, mod);
    //int a = fact[n] * p((fact[n-y]*fact[x]) % mod, mod - 2, mod);
    //int a = fact[n] * p((fact[n-z]*fact[x]) % mod, mod - 2, mod);
    int res = nums[n];
    int dem = (((nums[z] * nums[x])%mod) * nums[y])%mod;
    int res2 = res * p(dem, mod-2, mod);
    res2 %= mod;

    cout << res2;


}
 
 
signed main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
 
    int t = 1;
 
    //cin >> t;
 
    for (int i = 0; i < t; i++)
    {
        solve();
        //cout.flush();
    }
}

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

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Test 4

Verdict: ACCEPTED

Test 5

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Test 6

Verdict: ACCEPTED

Test 7

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Test 8

Verdict: ACCEPTED

Test 9

Verdict: ACCEPTED

Test 10

Verdict: ACCEPTED

Test 11

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Test 12

Verdict: ACCEPTED

Test 13

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Test 14

Verdict: ACCEPTED

Test 15

Verdict: ACCEPTED

Test 16

Verdict: ACCEPTED

Test 17

Verdict: ACCEPTED

Test 18

Verdict: ACCEPTED

Test 19

Verdict: ACCEPTED

Test 20

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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

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Test 40

Verdict: ACCEPTED

Test 41

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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 54

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Test 55

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Test 56

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Test 57

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Test 58

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Test 59

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Test 60

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Test 61

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Test 62

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Test 63

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Test 64

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Test 65

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Test 66

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Test 67

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Test 68

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Test 69

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Test 70

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Test 71

Verdict: ACCEPTED

Test 72

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Test 73

Verdict: ACCEPTED

Test 74

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Test 75

Verdict: ACCEPTED

Test 76

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Test 77

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Test 78

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Test 79

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Test 80

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Test 81

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Test 82

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Test 83

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Test 84

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Test 85

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Test 86

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Test 87

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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