#include using namespace std; #define rep(i,n) for(ll i=0;i=0;i--) #define perl(i,r,l) for(ll i=r-1;i>=l;i--) #define fi first #define se second #define pb push_back #define ins insert #define pqueue(x) priority_queue,greater> #define all(x) (x).begin(),(x).end() #define CST(x) cout<> #define rev(x) reverse(x); using ll=long long; using vl=vector; using vvl=vector>; using pl=pair; using vpl=vector; using vvpl=vector; const ll MOD=1000000007; const ll MOD9=998244353; const int inf=1e9+10; const ll INF=4e18; const ll dy[9]={0,1,-1,0,1,1,-1,-1,0}; const ll dx[9]={1,0,0,-1,1,-1,1,-1,0}; template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } ll mod=1000000007;//一次元ベクトルの高速化dp vl matmul(vl &dp, vvl &mt){ ll m=dp.size(); vl ret(m,0); rep(i,m)rep(j,m){ ret[i]+=mt[i][j]*dp[j]; ret[i]%=mod; } return ret; } vvl update(vvl &mt){ ll m=mt.size(); vvl ret(m,vl(m,0)); rep(i,m)rep(j,m)rep(k,m){ ret[i][j]+=mt[i][k]*mt[k][j]; ret[i][j]%=mod; } return ret; } void matpow(vl &dp, vvl &mt, ll k){ ll m=dp.size(); while(k){ if(k&1)dp=matmul(dp,mt); mt=update(mt); k/=2; } } void solve2(ll n,ll k,vl v){ v.push_back(0); vvl mat(n+1,vl(n+1)); rep(i,n)mat[0][i]=1; rep(i,n-1)mat[i+1][i]=1; mat[n][n]=1;mat[n][n-1]=1; matpow(v,mat,k-1); cout << v[n-1]<< " " << (v[n-1]+v[n])%MOD <> n >>k; vl v(n);rep(i,n)cin >> v[i]; if(n<=30){ rev(all(v)); solve2(n,k,v); } else{ vl dp(k+100); rep(i,n)dp[i]=v[i]; ll now=accumulate(all(v),0LL); repl(i,n,k+10){ dp[i]=now; now+=dp[i]; now-=dp[i-n]; now=(now+MOD)%MOD; } ll cum=0; rep(i,k)cum+=dp[i],cum%=MOD; cout << dp[k-1] <<" " << cum <