Grid paths

// clang-format off
#include <bits/stdc++.h>
using namespace std;
#ifndef DO_DBG
#define dbg(...)
#endif
template <typename... Args> void read(Args&... args) { ((cin >> args), ...); }
template <typename T> using v = vector<T>; typedef long long ll; typedef long double ld; typedef v<ll> vi; typedef pair<ll, ll> pii; typedef complex<ll> Pi; typedef complex<ld> Pr;
#define ios ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cin.exceptions(cin.failbit);
#define rep(i,a,b) for (ll i = a; i < b; i++)
#define rp(n) for (ll i = 0; i < n; i++)
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()
#define sq(x) ((x)*(x))
#define d(...) ll __VA_ARGS__; read(__VA_ARGS__);
#define dv(x, n) vi x(n); for (size_t i = 0; i < n; i++) cin >> x[i];
#define even(x) ((x)%2==0)
#define sz(s) ((ll)s.size())
#define dist(v,it) distance(v.begin(),it)
#define X real()
#define Y imag()
#define cross(a,b) (conj(a)*(b)).imag()
#define idxof(a, elem) dist(a, find(all(a), elem))
// clang-format on

// this is just a string permutations problem

constexpr ll mod = 998244353;

int factorial(int x) {
  int result = 1;
  for (int i = 1; i <= x; i++)
    result *= i;
  return result;
}

ll euclid(ll a, ll b, ll &x, ll &y) {
  if (!b)
    return x = 1, y = 0, a;
  ll d = euclid(b, a % b, y, x);
  return y -= a / b * x, d;
}

struct Mod {
  ll x;
  Mod(ll xx) : x(xx) {}
  Mod operator*(Mod b) { return Mod((x * b.x) % mod); }
  Mod operator/(Mod b) { return *this * invert(b); }
  Mod invert(Mod a) {
    ll x, y, g = euclid(a.x, mod, x, y);
    assert(g == 1);
    return Mod((x + mod) % mod);
  }
};

auto fac(ll n) {
  auto total = Mod(1);
  rp(n) { total = (total * (i + 1)); }
  return total;
}

int main() {
  d(x, y, z);
  auto total = fac(x + y + z);
  total = total / fac(x);
  total = total / fac(y);
  total = total / fac(z);
  cout << total.x << '\n';
}

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: ACCEPTED

Test 4

Verdict: ACCEPTED

Test 5

Verdict: ACCEPTED

Test 6

Verdict: ACCEPTED

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

Verdict: ACCEPTED

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

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

Test 41

Verdict: ACCEPTED

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

Verdict: ACCEPTED

Test 54

Verdict: ACCEPTED

Test 55

Verdict: ACCEPTED

Test 56

Verdict: ACCEPTED

Test 57

Verdict: ACCEPTED

Test 58

Verdict: ACCEPTED

Test 59

Verdict: ACCEPTED

Test 60

Verdict: ACCEPTED

Test 61

Verdict: ACCEPTED

Test 62

Verdict: ACCEPTED

Test 63

Verdict: ACCEPTED

Test 64

Verdict: ACCEPTED

Test 65

Verdict: ACCEPTED

Test 66

Verdict: ACCEPTED

Test 67

Verdict: ACCEPTED

Test 68

Verdict: ACCEPTED

Test 69

Verdict: ACCEPTED

Test 70

Verdict: ACCEPTED

Test 71

Verdict: ACCEPTED

Test 72

Verdict: ACCEPTED

Test 73

Verdict: ACCEPTED

Test 74

Verdict: ACCEPTED

Test 75

Verdict: ACCEPTED

Test 76

Verdict: ACCEPTED

Test 77

Verdict: ACCEPTED

Test 78

Verdict: ACCEPTED

Test 79

Verdict: ACCEPTED

Test 80

Verdict: ACCEPTED

Test 81

Verdict: ACCEPTED

Test 82

Verdict: ACCEPTED

Test 83

Verdict: ACCEPTED

Test 84

Verdict: ACCEPTED

Test 85

Verdict: ACCEPTED

Test 86

Verdict: ACCEPTED

Test 87

Verdict: ACCEPTED

Test 88

Verdict: ACCEPTED

Test 89

Verdict: ACCEPTED

Test 90

Verdict: ACCEPTED

Test 91

Verdict: ACCEPTED

Test 92

Verdict: ACCEPTED

Test 93

Verdict: ACCEPTED

Test 94

Verdict: ACCEPTED

Test 95

Verdict: ACCEPTED

Test 96

Verdict: ACCEPTED

Test 97

Verdict: ACCEPTED

Test 98

Verdict: ACCEPTED

Test 99

Verdict: ACCEPTED

Test 100

Verdict: ACCEPTED

Test 101

Verdict: ACCEPTED

Test 102

Verdict: ACCEPTED