#include <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>
//using namespace __gnu_pbds;
using namespace std;


#define gc getchar unlocked
#ifndef ONLINE JUDGE
#define gc getchar
#endif // ONLINE JUDGE

#define pc putchar_unlocked
#ifndef ONLINE JUDGE
#define pc putchar
#endif // ONLINE JUDGE

#define fRead           freopen("input.txt","r",stdin)
#define fWrite          freopen("output.txt","w",stdout)

#define eps             1e-9
#define inf             0x3f3f3f3f
#define INF             2e18
#define LL              long long
#define ULL             unsigned long long
#define PI              acos(-1.0)
#define pb              push_back
#define mk              make_pair
#define pii             pair<int,int>
#define pLL             pair<LL,LL>
#define ff              first
#define ss              second
#define all(a)          a.begin(),a.end()
#define rall(a)         a.rbegin(),a.rend()
#define SQR(a)          ((a)*(a))
#define Unique(a)       sort(all(a)),a.erase(unique(all(a)),a.end())
#define min3(a,b,c)     min(a,min(b,c))
#define max3(a,b,c)     max(a,max(b,c))
#define min4(a,b,c,d)   min(min(a,b),min(c,d))
#define max4(a,b,c,d)   max(max(a,b),max(c,d))
#define max5(a,b,c,d,e) max(max3(a,b,c),max(d,e))
#define min5(a,b,c,d,e) min(min3(a,b,c),min(d,e))
#define Iterator(a)     __typeof__(a.begin())
#define rIterator(a)    __typeof__(a.rbegin())
#define FOR(a,it)       for(Iterator(a) it = a.begin();it != a.end(); it++)
#define rFOR(a,it)      for(rIterator(a) it = a.rbegin();it != a.rend(); it++)
#define FastRead        ios_base::sync_with_stdio(0);cin.tie(0)
#define CasePrint       pc('C'); pc('a'); pc('s'); pc('e'); pc(' '); write(qq++,false); pc(':'); pc(' ')
#define vi              vector <int>
#define vL              vector <LL>
#define For(I,A,B)      for(int I = (A); I  < (B); ++I)
#define rFor(I,A,B)     for(int I = (A); I >= (B); --I)
#define Rep(I,N)        For(I,0,N)
#define REP(I,N)        For(I, 1, N + 1)
#define gti             int, vi, greater<int>
#define gtL             LL, vL, greater<LL>
#define Found(a, b)     a.find(b) != a.end()
#define y0              y00

const int MOD = 1e9 + 7;
int fx[] = {-1,+0,+1,+0,+1,+1,-1,-1,+0};
int fy[] = {+0,-1,+0,+1,+1,-1,+1,-1,+0};
int day[] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
//template <typename T> using orderset = tree <T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>; // find_by_order, order_of_key
template <typename T> inline bool isLeap(T y) {return (y % 400 == 0) || (y % 100 ? y % 4 == 0 : false); }
template <typename T> inline T GCD (T a,T b ) {a = abs(a);b = abs(b); if(a < b) swap(a, b); while ( b ) { a = a % b; swap ( a, b ); } return a;}
template <typename T> inline T EGCD(T a,T b,T &x,T &y){if(a == 0) {x = 0;y = 1;return b;}T x1, y1;T d = EGCD(b % a, a, x1, y1);x = y1 - (b / a) * x1;y = x1;return d;}
template <typename T> inline T LCM(T x,T y){T tp = GCD(x,y);if( (x / tp) * 1. * y > 9e18) return 9e18;return (x / tp) * y;}
template <typename T> inline T BigMod(T A,T B,T M = MOD){T ret = 1;while(B){if(B & 1) ret = (ret * A) % M;A = (A * A) % M;B = B >> 1;}return ret;}
template <typename T> inline T InvMod (T A,T M = MOD){return BigMod(A,M-2,M);}
template <typename T> void Compress(T * in, int n){vector <T> vv;for(int i = 0; i < n; i++) vv.pb(in[i]);Unique(vv);for(int i = 0; i < n; i++) in[i] = lower_bound(all(vv), in[i]) - vv.begin();}
//template <typename T> void Compress(vector <T> &in){vector <T> vv;for(T x : in) vv.pb(x);Unique(vv);for(int i = 0; i < in.size(); i++) in[i] = lower_bound(all(vv), in[i]) - vv.begin();}
/*---------------------------fast I/O------------------------------------*/
#define scani2(a,b) scani(a) , scani(b)
#define scani3(a,b,c) scani(a), scani(b), scani(c)
#define scani4(a,b,c,d) scani(a), scani(b), scani(c), scani(d)
#define scani5(a,b,c,d,e) scani(a), scani(b), scani(c), scani(d) , scani(e)
template <typename T> T scani(T &n){n = 0;bool negative = false;char c = gc();while( c < '0' || c > '9'){if(c == '-') negative = true;c = gc();}while(c >= '0' && c <= '9'){n = n*10 + c-48;c = gc();}if(negative) n = ~(n-1);return n;}
template <typename T> void write(T n,int type = true){if(n<0) {pc('-');n = -n;}if(!n) {pc('0');if(type==32) pc(' '); else if(type) pc('\n'); return;}char buff[22];int len = 0;while(n) buff[len++] = n%10+48,n/=10;for(int i=len-1;i>=0;i--) pc(buff[i]);if(type==32) pc(' '); else if(type) pc('\n');}
int scans(char *a){int i=0;char c = 0;while(c < 33) c = gc();while(c > 33){a[i++] = c;c = gc();}a[i] = 0;return i;}
/*********************************************** End of template *********************************************/
#define Sieve

#ifdef Sieve
const int pSz = 10000007;
bool np[pSz + 10]; vi prime; int prime_size;void sieve(){np[0] = np[1] = 1;prime.pb(2);for(LL i = 4; i <= pSz; i+=2) np[i] = 1;for(LL i = 3; i <= pSz; i+=2){if(!np[i]){prime.pb(i);for(LL j = i * i; j <= pSz; j += (i << 1)) np[j] = 1;}}prime_size = prime.size();}
#endif

#ifdef Combi
const int nSz = 2000006;
LL F[nSz + 1], tMod = MOD;
void Factorial(){ F[0] = 1; for(int i = 1; i <= nSz; i++) F[i] = (F[i - 1] * i) % tMod; }
inline LL nCr(int n, int r) { return (F[n] * InvMod((F[n - r] * F[r]) % tMod, tMod)) % tMod; }
#endif

#ifdef Z_Algo
void zAlgo(char *s, int *z){
    int L, R, sz; sz = strlen(s); z[0] = L = R = 0;
    For(i, 1, sz) { z[i] = 0; if(i <= R) z[i] = min(z[i - L], R - i + 1); while(i + z[i] < sz && s[i + z[i]] == s[z[i]]) z[i]++; if(i + z[i] - 1 > R) L = i, R = i + z[i] - 1; }
}void zAlgo(string &s, int *z){
    int L, R, sz; sz = s.size(); z[0] = L = R = 0;
    For(i, 1, sz) { z[i] = 0; if(i <= R) z[i] = min(z[i - L], R - i + 1); while(i + z[i] < sz && s[i + z[i]] == s[z[i]]) z[i]++; if(i + z[i] - 1 > R) L = i, R = i + z[i] - 1; }
}void zAlgo(int *s, int *z, int n){
    int L, R, sz; sz = n; z[0] = L = R = 0;
    For(i, 1, sz) { z[i] = 0; if(i <= R) z[i] = min(z[i - L], R - i + 1); while(i + z[i] < sz && s[i + z[i]] == s[z[i]]) z[i]++; if(i + z[i] - 1 > R) L = i, R = i + z[i] - 1; }
}
#endif // Z_Algo


/********************************************* define Template *************************************************/

template <typename T> inline T SqrDis(T x1, T y1, T x2, T y2){return SQR(x1 - x2) + SQR(y1 - y2);}
template <typename T> inline T Area2(T Ax, T Ay, T Bx, T By, T Cx, T Cy){T ret = Ax * (By - Cy) + Bx * (Cy - Ay) + Cx * (Ay - By);
    if(ret < 0) return ret = -ret;
    return ret;
}
/**************************************************** GEO ******************************************************/
const int N = 2000006; /** need to update this **/
const int M = 44444;
const ULL hs = 3797;
/** use data types carefully try to take 'long long' **/
int base = 333;

LL in[N], cost, n;
LL Mn[N][22];

void sparse_table(int m) {
    for(int i = 0; i < m; i++) Mn[i][0] = in[i];
    for(int j = 1; (1 << j) <= m; j++) {
        for(int i = 0; i + (1 << j) <= m; i++) {
            Mn[i][j] = min(Mn[i][j - 1], Mn[i + (1 << (j - 1))][j - 1]);
        }
    }
}

LL give_min(int x, int y) {
    x += n;
    y += n;
    int k = log2(y - x + 1);
    return min(Mn[x][k], Mn[y - (1 << k) + 1][k]);
}

int main()
{
    scani2(n, cost);
    Rep(i, n) scani(in[i]);
    Rep(i, n) in[i + n] = in[i];
    sparse_table(n * 2);
    LL res = INF;
    for(int k = 0; k < n; k++) {
        LL cur = k * cost;
        for(int i = 0; i < n; i++) {
            cur += give_min(i - k, i);
        }
        cerr << k << ' ' << cur << '\n';
        res = min(res, cur);
    }
    write(res);
    return 0;
}


Measured memory_bytes: 4992