#include<bits/stdc++.h> using namespace std; #define REP(i,a,b) for(i=a;i<b;i++) #define rep(i,n) REP(i,0,n) #define ll long long #define ull unsigned ll #define N_MAX 100 #define V_MAX 1000000000 #define C_MAX 1000000000 int N, V, C[1111]; int VV; ll sum[111]; ll solve(void){ int i, j, k, opt; ll res, tmp; static ll dp[11111]; VV = V - N; sum[0] = 0; rep(i,N) sum[i+1] = sum[i] + C[i]; dp[0] = 0; REP(i,1,11111) dp[i] = dp[i-1] + sum[1]; REP(k,2,N+1) REP(i,k,11111) dp[i] = min(dp[i], dp[i-k]+sum[k]); opt = 1; REP(i,2,N+1){ if(sum[opt] * i > sum[i] * opt) opt = i; } res = 0; k = max(0, (VV-11111) / opt); res += k * sum[opt]; VV -= k * opt; while(VV >= 11111) VV -= opt, res += sum[opt]; res += dp[VV]; res += sum[N]; return res; } int main(){ int i, j, k; ll res; scanf("%d%d",&N,&V); rep(i,N) scanf("%d",C+i); assert(1 <= N && N <= N_MAX); assert(1 <= V && V <= V_MAX); rep(i,N) assert(1 <= C[i] && C[i] <= C_MAX); res = solve(); printf("%lld\n",res); return 0; }