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///YEAH IM THE BEST I'VE EVER WAS

///SO HAPPY

#include <bits/stdc++.h>

#define popcnt(x) __builtin_popcount(x)

#define fr first

#define sc second

#define m_p make_pair

#define low_bo(a, x) lower_bound(a.begin(), a.end(), x) - a.begin()

#define up_bo(a, x) upper_bound(a.begin(), a.end(), x) - a.begin()

#define unique(a) a.resize(unique(a.begin(), a.end()) - a.begin())

#define popcnt(x) __builtin_popcount(x)

//#include <ext/pb_ds/assoc_container.hpp>

//using namespace __gnu_pbds;

//gp_hash_table<int, int> table;

//#pragma GCC optimize("O3")
//#pragma GCC optimize("Ofast,no-stack-protector")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx")
//#pragma GCC target("avx,tune=native")
//float __attribute__((aligned(32)))

/*char memory[(int)1e8];

char memorypos;

inline void * operator new(size_t n){
    char * ret = memory + memorypos;
    memorypos += n;
    return (void *)ret;
}

inline void operator delete(void *){}
*/

using namespace std;

typedef long long ll;

typedef unsigned long long ull;

typedef long double ld;

typedef unsigned int uint;

ll sqr(ll x){
    return x * x;
}

int mysqrt(ll x){
    int l = 0, r = 1e9 + 1;
    while (r - l > 1){
        int m = (l + r) / 2;
        if (m * (ll)m <= x)
            l = m;
        else
            r = m;
    }
    return l;
}

#ifdef ONPC
    mt19937 rnd(231);
    mt19937_64 rndll(231);
#else
    mt19937 rnd(chrono::high_resolution_clock::now().time_since_epoch().count());
    mt19937_64 rndll(chrono::high_resolution_clock::now().time_since_epoch().count());
#endif
ll AR = 19, BR = 13, CR = 23, XR = 228, YR = 322, MODR = 1e9 + 993;

ll myrand(){
    ll ZR = (XR * AR + YR * BR + CR) % MODR;
    XR = YR;
    YR = ZR;
    return ZR;
}

int gcd(int a, int b){
    return a ? gcd(b % a, a) : b;
}

int gcdex(int a, int b, int &x, int &y){
    if (a == 0){
        x = 0;
        y = 1;
        return b;
    }
    int x1, y1;
    int ret = gcdex(b % a, a, x1, y1);
    x = y1 - (b / a) * x1;
    y = x1;
    return ret;
}

const int Mod = 1e9 + 7;

int Bpow(int x, ll y){
    int ret = 1;
    int w = x;
    while (y){
        if (y & 1)
            ret = (ret * (ll)w) % Mod;
        w = (w * (ll)w) % Mod;
        y >>= 1;
    }
    return ret;
}

int Bdiv(int x){
    int a, b;
    gcdex(x, Mod, a, b);
    if (a < 0)
        a += Mod;
    return a;
}

int Bdiv(int x, int y){
    return (x * (ll)Bpow(y, Mod - 2)) % Mod;
}

inline int ad(int x, int y){
    return x + y >= Mod ? x + y - Mod : x + y;
}

inline int dif(int x, int y){
    return x - y < 0 ? x - y + Mod : x - y;
}

inline int mul(int x, int y){
    return (x * (ll)y) % Mod;
}

int inv(int a){
    int b = Mod, x = 0, y = 1;
    while (a){
        int t = b / a;
        b -= a * t;
        x -= t * y;
        swap(a, b);
        swap(x, y);
    }
    if (x < 0)
        x += Mod;
    return x;
}

void setmin(int &x, int y){
    x = min(x, y);
}

void setmax(int &x, int y){
    x = max(x, y);
}

void setmin(ll &x, ll y){
    x = min(x, y);
}

void setmax(ll &x, ll y){
    x = max(x, y);
}

const ll llinf = 1e18 + 100;

const ld eps = 1e-9;

const int maxn = 2e5 + 100, maxw = 1e6 + 100, inf = 2e9 + 100, sq = 600, X = 43, LG = 17;

int n;

int p[maxn], a[maxn], rnk[maxn];

pair<ll, int> e[maxn];

int get(int x) {
    return x == p[x] ? x : p[x] = get(p[x]);
}

int uni(int x, int y) {
    x = get(x);
    y = get(y);
    if (x == y)
        return 0;
    if (rnk[x] < rnk[y])
        swap(x, y);
    p[y] = x;
    if (rnk[x] == rnk[y])
        rnk[x]++;
    return 1;
}

int D;

ll ans;

int main()
{
    #ifdef ONPC
    //ifstream cin("a.in");
    //ofstream cout("a.out");
    freopen("a.in", "r", stdin);
    freopen("a.out", "w", stdout);
    #else
    //ifstream cin("gymnasts.in");
    //ofstream cout("gymnasts.out");
    //freopen("nextpartition.in", "r", stdin);
    //freopen("nextpartition.out", "w", stdout);
    #endif // ONPC
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    cin >> n >> D;
    for (int i = 0; i < n; i++)
        cin >> a[i], p[i] = i;
    int eds = 0;
    while (eds < n - 1) {
        for (int i = 0; i < n; i++)
            e[i].fr = llinf;
        pair<ll, int> x = {llinf, -1}, y = x;
        for (int i = 0; i < n; i++) {
            if (x.sc != -1 && x.sc != get(i)) {
                e[get(i)] = min(e[get(i)], {x.fr + i * (ll)D + a[i], x.sc});
            } else {
                if (y.sc != -1 && y.sc != get(i)) {
                    e[get(i)] = min(e[get(i)], {y.fr + i * (ll)D + a[i], y.sc});
                }
            }
            pair<ll, int> o = {a[i] - D * (ll)i, get(i)};
            if (x.sc == -1 || x.sc == o.sc) {
                x = min(x, o);
            } else {
                if (x > o)
                    y = x, x = o;
                else
                    y = min(y, o);
            }
        }
        x = {llinf, -1}, y = x;
        for (int i = n - 1; i >= 0; i--) {
            if (x.sc != -1 && x.sc != get(i)) {
                e[get(i)] = min(e[get(i)], {x.fr - i * (ll)D + a[i], x.sc});
            } else {
                if (y.sc != -1 && y.sc != get(i)) {
                    e[get(i)] = min(e[get(i)], {y.fr - i * (ll)D + a[i], y.sc});
                }
            }
            pair<ll, int> o = {a[i] + D * (ll)i, get(i)};
            if (x.sc == -1 || x.sc == o.sc) {
                x = min(x, o);
            } else {
                if (x > o)
                    y = x, x = o;
                else
                    y = min(y, o);
            }
        }
        for (int i = 0; i < n; i++) {
            ll v = e[i].fr;
            int id = e[i].sc;
            if (v != llinf && uni(id, i)) {
                eds++;
                ans += v;
            }
        }
    }
    cout << ans;
}


Measured memory_bytes: 5760