import sys
readline=sys.stdin.readline
from functools import lru_cache
from collections import defaultdict

HW=list(map(int,readline().split()))
for i in range(8):
    HW[i]-=4
H,W=HW[:4],HW[4:]
H.sort()
W.sort()
mod=998244353
cnt=[defaultdict(int) for c in range(390625)]
se=set()
for bit in range(1<<16):
    HH=tuple(sum(bit>>h*4+w&1 for w in range(4)) for h in range(4))
    WW=tuple(sum(bit>>h*4+w&1 for h in range(4)) for w in range(4))
    cnt[sum(HH[i]%2*5**i for i in range(4))+sum(WW[i]%2*5**(i+4) for i in range(4))][(HH,WW)]+=1
    se.add((HH,WW))
@lru_cache(maxsize=None)
def solve(H,W):
    for h in H:
        if h<0:
            return 0
    for w in W:
        if w<0:
            return 0
    if all(h==0 for h in H) and all(w==0 for w in W):
        return 1
    retu=0
    for (HH,WW),c in cnt[sum(H[i]%2*5**i for i in range(4))+sum(W[i]%2*5**(i+4) for i in range(4))].items():
        if all(h>=hh and h%2==hh%2 for h,hh in zip(H,HH)) and all(w>=ww and w%2==ww%2 for w,ww in zip(W,WW)):
            retu+=solve(tuple(sorted([h-hh>>1 for h,hh in zip(H,HH)])),tuple(sorted([w-ww>>1 for w,ww in zip(W,WW)])))*c
            retu%=mod
    return retu
ans=solve(tuple(H),tuple(W))
print(ans)