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#include <bits/stdc++.h> #define all(vec) vec.begin(),vec.end() #define CLR(i,a) memset(i,a,sizeof(i)) #define pb push_back #define SZ(a) ((int) a.size()) #define FOR(i, a, b) for (int i = (a); i <= (b); ++i) #define ROF(i, a, b) for (int i = (a); i >= (b); --i) #define debug(var) cerr << #var <<":"<<var<<"\n"; #define lson(var) (var<<1) #define rson(var) ((var<<1)+1)
using namespace std;
typedef long long ll;typedef unsigned long long ull; typedef double DB;typedef long double LD; typedef __int128 i128;typedef pair<DB,DB> pdd;typedef pair<ll,bool> plb; typedef pair<ll,ll> pll; typedef array<ll,3> arr3;typedef array<ll,2> arr2; constexpr ll MAXN=static_cast<ll>(1e6)+10,INF=static_cast<ll>(1e17)+9; constexpr ll mod=998244353; constexpr double eps=1e-8;
ll N,M,Q,X,K,lT,A[MAXN][10];
inline void init(){ } ll binpow(ll a,ll k,const ll &p){ ll res=1; while(k>0){ if((k&1)==1) res=a*res%p; a=a*a%p; k>>=1; } return res; } inline void solve(){ cin>>N; init(); vector<ll> li; li.pb(-INF); priority_queue<arr2> pq; FOR(i,1,N){ FOR(j,1,6){ cin>>A[i][j]; li.pb(A[i][j]); pq.push({A[i][j],i}); } } sort(all(li)); li.resize(unique(all(li))-li.begin()); ll lsz=SZ(li)-1; vector<arr2> dp(lsz+5,{0,0}); dp[lsz][0]=1,dp[lsz][1]=1; vector<ll> cnt(N+5,6); vector<ll> org(N+5,0); ROF(_,lsz-1,1){ ll val=li[_+1];ll fac1=1,fac2=1; vector<ll> wp; while(pq.empty()==false && pq.top()[0]==val){ ll id=pq.top()[1]; pq.pop(); org[id]=max(cnt[id],org[id]); cnt[id]--; wp.pb(id); } sort(all(wp));wp.resize(unique(all(wp))-wp.begin()); FOR(i,0,SZ(wp)-1){ ll id=wp[i]; fac1*=cnt[id];fac1%=mod; fac2*=org[id];fac2%=mod; org[id]=0; } dp[_][0]=dp[_+1][0]*fac1%mod; dp[_][1]=dp[_+1][1]*fac2%mod; #ifdef LOCAL debug(_); debug(dp[_][0]); debug(dp[_][1]); debug(fac1);debug(fac2);debug(val); #endif } ll ans=0; dp[0][1]=1; ROF(i,lsz,1){ ll lans=0; ll fac1=dp[i][0]*dp[i-1][1]-dp[i-1][0]*dp[i][1];fac1%=mod; ll fac2=dp[i][1]*dp[i-1][1];fac2%=mod; #ifdef LOCAL cerr<<"---------\n"; debug(fac1);debug(fac2); #endif fac2=binpow(fac2,mod-2,mod); lans=fac1*fac2%mod*li[i]%mod; ans+=lans;ans%=mod; } if(ans<0) ans+=mod; cout<<ans<<"\n"; }
int main() { ios::sync_with_stdio(false); cin.tie(0);cout.tie(0); solve(); return 0; }
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