Buggy python submission (verdict: Runtime Error):
import sys
import math
import numpy as np


MOD=998244353
N=int(input())
a=[int(input()) for i in range(N)]
a.sort(reverse=True)

A=sum(a)
M=math.ceil(A/2)  
x =[ [0 for j in range(M+1)] for i in range(N)]
x[0][0]=2
x[0][min(a[0],M)]=1

p=M-A+a[0]
q=a[0]
for i in range(1,N):
    p+=a[i]
    q+=a[i]
    for j in range(max(p,0),min(q,M)+1):
        if j==M:
            x[i][j]=sum(x[i-1][ max(M-a[i],0): M ])+x[i-1][M]*3

        elif j-a[i]<0: x[i][j]=x[i-1][j]*2
        else: x[i][j]=x[i-1][j]*2+x[i-1][j-a[i]]

        x[i][j]%=MOD

if sum(a)%2==0:
    y =[ [0 for j in range(M+1)] for i in range(N)]
    y[0][0]=1
    p=M-A+a[0]
    q=a[0]
    for i in range(1,N):
        p+=a[i]
        q+=a[i]
        for j in range(max(p,0),min(q,M)+1):
            if j-a[i]<0: y[i][j]=y[i-1][j]
            else: y[i][j]=y[i-1][j]+y[i-1][j-a[i]]

            y[i][j]%=MOD

    ans=3**N-x[N-1][M]*3+y[N-1][M]*6



else: ans=3**N-x[N-1][M]*3
print(ans%MOD)


Fixed submission:
n=int(input())
a=[int(input()) for _ in range(n)]
mod=998244353
s=sum(a)

dp=[[0]*(s+1) for _ in range(n)]
dp[0][0],dp[0][a[0]]=2,1
for i in range(n-1):
    for j in range(s+1):
        dp[i+1][j]=(dp[i+1][j]+dp[i][j]*2)%mod
        if j+a[i+1]<=s: dp[i+1][j+a[i+1]]=(dp[i+1][j+a[i+1]]+dp[i][j])%mod

dp2=[[0]*(s+1) for _ in range(n)]
dp2[0][0]=1;dp2[0][a[0]]=1
for i in range(n-1):
    for j in range(s+1):
        dp2[i+1][j]=(dp2[i+1][j]+dp2[i][j])%mod
        if j+a[i+1]<=s: dp2[i+1][j+a[i+1]]=(dp2[i+1][j+a[i+1]]+dp2[i][j])%mod

if s%2==0:
    inable=( sum(dp[n-1][s//2:]) - dp2[n-1][s//2] )*3%mod
else:
    inable=( sum(dp[n-1][s//2+1:]) )*3 %mod

ans=1
for _ in range(n):
    ans=ans*3%mod
ans=(ans-inable)%mod
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
import math
import numpy as np


MOD=998244353
N=int(input())
a=[int(input()) for i in range(N)]
a.sort(reverse=True)

A=sum(a)
M=math.ceil(A/2)  
x =[ [0 for j in range(M+1)] for i in range(N)]
x[0][0]=2
x[0][min(a[0],M)]=1

p=M-A+a[0]
q=a[0]
for i in range(1,N):
    p+=a[i]
    q+=a[i]
    for j in range(max(p,0),min(q,M)+1):
        if j==M:
            x[i][j]=sum(x[i-1][ max(M-a[i],0): M ])+x[i-1][M]*3

        elif j-a[i]<0: x[i][j]=x[i-1][j]*2
        else: x[i][j]=x[i-1][j]*2+x[i-1][j-a[i]]

        x[i][j]%=MOD

if sum(a)%2==0:
    y =[ [0 for j in range(M+1)] for i in range(N)]
    y[0][0]=1
    p=M-A+a[0]
    q=a[0]
    for i in range(1,N):
        p+=a[i]
        q+=a[i]
        for j in range(max(p,0),min(q,M)+1):
            if j-a[i]<0: y[i][j]=y[i-1][j]
            else: y[i][j]=y[i-1][j]+y[i-1][j-a[i]]

            y[i][j]%=MOD

    ans=3**N-x[N-1][M]*3+y[N-1][M]*6



else: ans=3**N-x[N-1][M]*3
print(ans%MOD)

Fixed submission:
n=int(input())
a=[int(input()) for _ in range(n)]
mod=998244353
s=sum(a)

dp=[[0]*(s+1) for _ in range(n)]
dp[0][0],dp[0][a[0]]=2,1
for i in range(n-1):
    for j in range(s+1):
        dp[i+1][j]=(dp[i+1][j]+dp[i][j]*2)%mod
        if j+a[i+1]<=s: dp[i+1][j+a[i+1]]=(dp[i+1][j+a[i+1]]+dp[i][j])%mod

dp2=[[0]*(s+1) for _ in range(n)]
dp2[0][0]=1;dp2[0][a[0]]=1
for i in range(n-1):
    for j in range(s+1):
        dp2[i+1][j]=(dp2[i+1][j]+dp2[i][j])%mod
        if j+a[i+1]<=s: dp2[i+1][j+a[i+1]]=(dp2[i+1][j+a[i+1]]+dp2[i][j])%mod

if s%2==0:
    inable=( sum(dp[n-1][s//2:]) - dp2[n-1][s//2] )*3%mod
else:
    inable=( sum(dp[n-1][s//2+1:]) )*3 %mod

ans=1
for _ in range(n):
    ans=ans*3%mod
ans=(ans-inable)%mod
print(ans)