有几种字符串就有几种奇幻排列
组合数+逆元
#include
#include
#include
#include
#define ll long long
using namespace std;
const ll mod=998244353; //质数
int n,m;
int c[100005];
ll x,y,ans,p[1000005];
ll niyuan(ll x,ll y)
{
ll q=1;
while(y>0)
{
if(y%2==1) q=(q*x)%mod;
y=y/2;
x=(x*x)%mod;
}
return q;
}
int main()
{
freopen("horrible.in","r",stdin);
freopen("horrible.out","w",stdout);
cin>>m;
for(int i=1;i<=m;i++)
{
scanf("%d",&c[i]);
n=n+c[i];
}
p[0]=1;
for(int i=1;i<=n;i++) p[i]=(p[i-1]*i)%mod;
x=n;
ans=1;
for(int i=1;i<=m;i++)
{
ll y=(p[c[i]]*p[x-c[i]])%mod;
ll z=(p[x]*niyuan(y,mod-2))%mod;
ans=(ans*z)%mod;
x=x-c[i];
}
cout<return 0;
}