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bes.cpp
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52 lines (50 loc) · 892 Bytes
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#include<bits/stdc++.h>
#include<math.h>
#define rep(i,k,n) for(int i=k;i<n;i++)
#define ll long long
#define MOD 998244353
#define INF 0x3f3f3f3f3f3f3f3f
#define MIN(a,b) (a>b?b:a)
using namespace std;
ll func(ll,ll);
void GCD(ll a,ll b);
ll fac[100005],n,m,k,x,y,a,b;
ll inv[100005];
int main()
{
cin>>n>>m>>k;
fac[0]=1;
rep(i,1,100005)
fac[i]=(fac[i-1]*i)%MOD;
inv[0]=1;
rep(i,1,100004)
{
GCD(i,MOD);
inv[i]=x;
}
rep(i,1,100004)
{
inv[i]=(inv[i-1]*inv[i])%MOD;
}
ll ans=0;
rep(i,0,k)
{
cin>>a>>b;
ans+=(((((fac[n-a+b-1]*inv[n-a])%MOD)*inv[b-1])%MOD)*((((fac[a-1+m-b]*inv[a-1])%MOD)*inv[m-b])%MOD))%MOD;
ans%=MOD;
}
printf("%lld",(((((fac[n+m-2]*inv[n-1])%MOD)*inv[m-1])%MOD-ans)%MOD+MOD)%MOD);
}
void GCD(ll a,ll b)
{
if(b==0)
{
x=1;
y=0;
return;
}
GCD(b,a%b);
ll temp=x;
x=y;
y=temp-(a/b)*y;
}