#include<iostream> #include<cstring> #include<algorithm> #include<cstdio> #include<vector> #include<sstream> #include<string> #include<climits> #include<stack> #include<set> #include<bitset> #include<cmath> #include<deque> #include<map> #include<queue> #define iinf 2000000000 #define linf 1000000000000000000LL #define dinf 1e200 #define eps 1e-5 #define all(v) (v).begin(),(v).end() #define sz(x) x.size() #define pb push_back #define mp make_pair #define lng long long #define sqr(a) ((a)*(a)) #define pii pair<int,int> #define pll pair<lng,lng> #define pss pair<string,string> #define pdd pair<double,double> #define X first #define Y second #define pi 3.14159265359 #define ff(i,xi,n) for(int i=xi;i<=(int)(n);++i) #define ffd(i,xi,n) for(int i=xi;i>=(int)(n);--i) #define ffl(i,r) for(int i=head[r];i!=-1;i=edge[i].next) #define cc(i,j) memset(i,j,sizeof(i)) #define two(x) ((lng)1<<(x)) #define N 1000002 #define M 1000000 #define lson l , mid , rt << 1 #define rson mid + 1 , r , rt << 1 | 1 #define Mod n #define Pmod(x) (x%Mod+Mod)%Mod using namespace std; typedef vector<int> vi; typedef vector<string> vs; typedef unsigned int uint; typedef unsigned lng ulng; template<class T> inline void checkmax(T &x,T y){if(x<y) x=y;} template<class T> inline void checkmin(T &x,T y){if(x>y) x=y;} template<class T> inline T Min(T x,T y){return (x>y?y:x);} template<class T> inline T Max(T x,T y){return (x<y?y:x);} template<class T> T gcd(T a,T b){return (a%b)==0?b:gcd(b,a%b);} template<class T> T lcm(T a,T b){return a*b/gcd(a,b);} template<class T> T Abs(T a){return a>0?a:(-a);} template<class T> inline T lowbit(T n){return (n^(n-1))&n;} template<class T> inline int countbit(T n){return (n==0)?0:(1+countbit(n&(n-1)));} template<class T> inline bool isPrimeNumber(T n) {if(n<=1)return false;for (T i=2;i*i<=n;i++) if (n%i==0) return false;return true;} lng n,dp[N],q[N],f,r,c,a[N]; int main() { while(scanf("%I64d%I64d",&n,&c)==2) { if(n==0&&c==0) break; cc(dp,0); q[0]=0; f=0,r=0; a[0]=0; ff(i,1,n) { scanf("%I64d",a+i); } ff(i,1,n){ while(r>f) { int k=q[f+1],j=q[f]; if(dp[k]+sqr(a[k+1])-dp[j]-sqr(a[j+1])<=(a[k+1]-a[j+1])*a[i]*2) ++f; else break; } dp[i]=dp[q[f]]+c+sqr(a[i]-a[q[f]+1]); while(r>f) { int k=q[r],j=q[r-1]; if((dp[i]-dp[k]+sqr(a[i+1])-sqr(a[k+1]))*(a[k+1]-a[j+1])<=(dp[k]+sqr(a[k+1])-dp[j]-sqr(a[j+1]))*(a[i+1]-a[k+1])) --r; else break; } q[++r]=i; } printf("%I64d\n",dp[n]); } return 0; }