#!/usr/bin/env PyPy3

from collections import Counter, defaultdict, deque
import itertools
import re
import math
from functools import reduce
import operator
import bisect
from heapq import *
import functools
mod=998244353

import sys
input=sys.stdin.readline

#nCrをmodで割ったあまりを求める
def cmb(n, r):
    if ( r<0 or r>n ):
        return 0
    r = min(r, n-r)
    return g1[n] * g2[r] % mod * g2[n-r] % mod

N = 2*10**5
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

n,m,k=map(int,input().split())
if k + m > n:
    m,k = n - k,n - m
    n = m + k
ans = 0
for i in range(min(k,m) + 1):
    ans += cmb(k,i) * cmb(m,i) % mod * g1[i] % mod * g1[n] % mod * g2[m+k] % mod
    ans %= mod
print(ans)