#include #define fi first #define se second #define eb emplace_back #define mp make_pair using namespace std; typedef long double ld; typedef long long ll; typedef unsigned long long ull; typedef __int128 i128; template T ceil(T x, U y) {return (x>0?(x+y-1)/y:x/y);} template T floor(T x, U y) {return (x>0?x/y:(x-y+1)/y);} template bool chmax(T &a,const S b) {return (a bool chmin(T &a,const S b) {return (a>b?a=b,1:0);} int popcnt(int x) {return __builtin_popcount(x);} int popcnt(ll x) {return __builtin_popcountll(x);} int topbit(int x) {return (x==0?-1:31-__builtin_clz(x));} int topbit(ll x) {return (x==0?-1:63-__builtin_clzll(x));} int lowbit(int x) {return (x==0?-1:__builtin_ctz(x));} int lowbit(ll x) {return (x==0?-1:__builtin_ctzll(x));} #define int long long #define rep(i,a,b) for(int i=(a);i<=(b);i++) #define per(i,a,b) for(int i=(a);i>=(b);i--) typedef pair pii; typedef vector vi; typedef vector vp; int read() { int x=0,w=1; char c=getchar(); while(!isdigit(c)) {if(c=='-') w=-1; c=getchar();} while(isdigit(c)) {x=x*10+(c-'0'); c=getchar();} return x*w; } const int mod=998244353,N=4e5+9,inv2=(mod+1)/2; int n,len[N],b[N],cnt,d[N],d2[N]; pii p[N]; int ksm(int x,int y,int r=1) { for(;y;y>>=1,x=x*x%mod) if(y&1) r=r*x%mod; return r; } signed main() { n=read(); rep(i,1,n) p[i].fi=read(), p[i].se=read(); sort(p+1,p+n+1); rep(i,1,n) len[i]=p[i].se-p[i].fi+1; int ans=1,prod=1,sum=0; rep(i,1,n) ans=ans*i%mod; prod=ans*inv2%mod; ans=ans*n%mod*(n-1)%mod; ans=ans*ksm(4,mod-2)%mod; rep(i,1,n) b[++cnt]=p[i].fi, b[++cnt]=p[i].se+1; sort(b+1,b+cnt+1); cnt=unique(b+1,b+cnt+1)-b-1; rep(i,1,n) { int x=lower_bound(b+1,b+cnt+1,p[i].fi)-b; int y=lower_bound(b+1,b+cnt+1,p[i].se+1)-b; int p=ksm(len[i],mod-2), q=p*p%mod; d[x]=(d[x]+p)%mod, d[y]=(d[y]+mod-p)%mod; d2[x]=(d2[x]+q)%mod, d2[y]=(d2[y]+mod-q)%mod; } int cur=0,cur2=0; rep(i,1,cnt) { cur=(cur+d[i])%mod; cur2=(cur2+d2[i])%mod; int f=(cur*cur%mod+mod-cur2)%mod*inv2%mod; ans=(ans+mod-(b[i+1]-b[i])*f%mod*prod%mod)%mod; } printf("%lld\n",ans); return 0; }