#include <bits/stdc++.h>
using namespace std;
typedef signed long long ll;

#undef _P
#define _P(...) (void)printf(__VA_ARGS__)
#define FOR(x,to) for(x=0;x<to;x++)
#define FORR(x,arr) for(auto& x:arr)
#define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++)
#define ALL(a) (a.begin()),(a.end())
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
//-------------------------------------------------------

template<class V, int ME> class BIT {
public:
	V bit[1<<ME],val[1<<ME];
	V total(int e) {V s=0;e++;while(e) s+=bit[e-1],e-=e&-e; return s;}
	V add(int e,V v) { val[e++]+=v; while(e<=1<<ME) bit[e-1]+=v,e+=e&-e;}
	V set(int e,V v) { add(e,v-val[e]);}
	int lower_bound(V val) {
		V tv=0; int i,ent=0;
		for(i=ME-1;i>=0;i--) if(tv+bit[ent+(1<<i)-1]<val) tv+=bit[ent+(1<<i)-1],ent+=(1<<i);
		return ent;
	}
};

int N;
ll K;
vector<ll> P;
ll fact[101010], totinv[101010];
ll ret;
ll mo=1000000007;

ll getsmaller(int n) {
	static BIT<int,18> bt;
	ZERO(bt.bit);
	ZERO(bt.val);
	int i;
	ll tot=0;
	for(i=n+1;i<N;i++) bt.add(P[i],1);
	FOR(i,n+1) tot+=bt.total(P[i]);
	return tot%mo;
}

ll factinv(ll k) {
	ll r=0;
	
	for(int i=N-1;i>=0;i--) {
		int j=0;
		while(k>=fact[i]) {
			r+=(totinv[i]+j*(fact[i]%mo))%mo;
			k-=fact[i];
			j++;
		}
	}
	return r%mo;
}

void solve() {
	int i,j,k,l,r,x,y; string s;
	
	cin>>N>>K;
	if(K==0) return _P("0\n");
	
	P.push_back(0);
	FOR(i,N) cin>>x, P.push_back(x);
	N++;
	
	fact[0]=1;
	totinv[0]=0;
	for(i=1;i<=N;i++) {
		fact[i]=fact[i-1]*i;
		if(fact[i]<fact[i-1]) fact[i]=1LL<<62;
		totinv[i]=fact[i]%mo*i%mo;
		(totinv[i]*=i-1)%=mo;
		(totinv[i]*=(mo+1)/2)%=mo;
		(totinv[i]*=(mo+1)/2)%=mo;
	}
	
	ret=(K/fact[N-1])%mo*totinv[N-1]%mo;
	K%=fact[N-1];
	
	for(i=N-2;i>=0;i--) {
		if(fact[N-1-i]>=K) {
			out:
			ret += factinv(K);
			break;
		}
		if(P[i]>P[i+1]) {
			ll smaller=getsmaller(i);
			for(x=i;x<N;x++) {
				if(P[i]<=P[x]) {
					ll smaller2=fact[N-1-i]%mo*smaller%mo;
					(ret += totinv[N-1-i]+smaller2)%=mo;
					K -= fact[N-1-i];
					if(K<=fact[N-1-i]) goto out;
					smaller++;
				}
			}
			sort(P.begin()+i,P.end());
		}
	}
	cout<<ret%mo<<endl;
	
}


int main(int argc,char** argv){
	string s;int i;
	if(argc==1) ios::sync_with_stdio(false);
	FOR(i,argc-1) s+=argv[i+1],s+='\n';
	FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin);
	solve(); return 0;
}