There are N towns on a line running east-west. The towns are numbered 1 through N, in order from west to east. Each point on the line has a one-dimensional coordinate, and a point that is farther east has a greater coordinate value. The coordinate of town i is X_i.

You are now at town 1, and you want to visit all the other towns. You have two ways to travel:

* Walk on the line. Your fatigue level increases by A each time you travel a distance of 1, regardless of direction.

* Teleport to any location of your choice. Your fatigue level increases by B, regardless of the distance covered.




Find the minimum possible total increase of your fatigue level when you visit all the towns in these two ways.

Constraints

* All input values are integers.
* 2≤N≤10^5
* 1≤X_i≤10^9
* For all i(1≤i≤N-1), X_i<X_{i+1}.
* 1≤A≤10^9
* 1≤B≤10^9

Input

The input is given from Standard Input in the following format:


N A B
X_1 X_2 ... X_N


Output

Print the minimum possible total increase of your fatigue level when you visit all the towns.

Examples

Input

4 2 5
1 2 5 7


Output

11


Input

7 1 100
40 43 45 105 108 115 124


Output

84


Input

7 1 2
24 35 40 68 72 99 103


Output

12
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.lang.Character.Subset;
import java.math.BigDecimal;
import java.text.DecimalFormat;
import java.time.temporal.ValueRange;
import java.util.AbstractMap;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.Deque;
import java.util.HashMap;
import java.util.HashSet;
import java.util.List;
import java.util.Map;
import java.util.Map.Entry;
import java.util.Objects;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.Set;
import java.util.Stack;
import java.util.TreeMap;
import java.util.TreeSet;
import java.util.concurrent.ForkJoinPool;

import static java.util.Comparator.*;

public class Main {

    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        MyInput in = new MyInput(inputStream);
        PrintWriter out = new PrintWriter(outputStream);

        Solver solver = new Solver(in, out);
        solver.solve();

        out.close();
    }

    // ======================================================================
    static class Solver {
    	MyInput in;
    	PrintWriter out;
        public Solver(MyInput in, PrintWriter out) {
        	this.in = in;
        	this.out = out;
        }

        // -----------------------------------------
        public void solve() {
        	int N = ni();
        	long A = nl();
        	long B = nl();
        	long x;
        	long ans = 0, wk;
        	long sv = nl();
        	for (int i = 1; i < N; i++) {
				x = nl();
				wk = (x - sv) * A;
				if(wk > B) {
					ans += B;
				} else {
					ans += wk;
				}
				sv = x;
//				prn("wk = " + wk + " B = " + B + " ans = " + ans);
			}
        	prn(ans);
        }
        // -----------------------------------------
        // 配列のバイナリーサーチ　１
        boolean isRightMin(int[] a, boolean f, int index, int key) {
    	    if (f && a[index] >= key)		return true;		// 以上
    	    else if (!f && a[index] > key)	return true;		// より大きい
    	    else 							return false;	
    	}
    	// 配列 a の中で key 以上（f=true)または、より大きく（f=false)、一番小さい値を返す
    	int binarySearchRightMin(int[] a, boolean f, int key) {	
    	    int ng = -1; 				//「index = 0」が条件を満たすこともあるので、初期値は -1	
    	    int ok = (int)a.length; 	// 「index = a.length-1」が条件を満たさないこともあるので、初期値は a.length()	
    		
    	    /* ok と ng のどちらが大きいかわからないことを考慮 */	
    	    while (Math.abs(ok - ng) > 1) {	
    	        int mid = (ok + ng) / 2;	
    		
    	        if (isRightMin(a, f, mid, key))	ok = mid;	// 下半分を対象とする
    	        else 							ng = mid;	// 上半分を対象とする
    	    }	
    	    return ok;		// ←　ここで返すのは　isOK() が true の時にセットする方（ok / ng)
    	}
        // -----------------------------------------
        // 配列のバイナリーサーチ　２
        boolean isLeftMax(int[] a, boolean f, int index, int key) {
    	    if (f && a[index] <= key)		return true;		// 以下
    	    else if (!f && a[index] < key)	return true;		// より小さい
    	    else 							return false;	
    	}
    	// 配列 a の中で key 以下（f=true)または、より小さい（f=false)、一番大きい値を返す
    	int binarySearchLeftMax(int[] a, boolean f, int key) {	
    	    int ng = -1; 				//「index = 0」が条件を満たすこともあるので、初期値は -1	
    	    int ok = (int)a.length; 	// 「index = a.length-1」が条件を満たさないこともあるので、初期値は a.length()	
    		
    	    /* ok と ng のどちらが大きいかわからないことを考慮 */	
    	    while (Math.abs(ok - ng) > 1) {	
    	        int mid = (ok + ng) / 2;	
    		
    	        if (isLeftMax(a, f, mid, key))	ng = mid;	// 上半分を対象とする
    	        else 							ok = mid;	// 下半分を対象とする
    	    }	
    	    return ng;		// ←　ここで返すのは　isOK() が true の時にセットする方（ok / ng)
    	}
    	
        // -----------------------------------------
    	// オイラーツアー（部分木対応）
    	static class EulerTour {
    		Graph g;
    		List<Integer> euler_tour = new ArrayList<>();
    		int[] begin, end;
    		int k = 0, root = 0;
    		
    		void dfs(int v,int p, PrintWriter out) {
    			out.println("v = " + v + "  p = " + p);
    			begin[v] = k;
    			euler_tour.add(v);
    			k++;
    			if(!g.contains(v)) {
    				return;
    			}
    			for(int i : g.get(v)) {
    				if(i != p) {
    					dfs(i, v, out);
    					euler_tour.add(v);
    					k++;
    				}
    			}
    			end[v]=k;
    		}
    		// 初期化
    		public void init(int p_cnt, int root, Graph g, PrintWriter out) {
    			begin = new int[p_cnt + 1];
    			end = new int[p_cnt + 1];
    			this.root = root;
    			this.g = g;
    			dfs(root, -1, out);
    		}
    		// 部分木の頂点を渡すと、オイラーツアーの部分木を返す
    		public List getPartTour(int v) {
    			return euler_tour.subList(begin[v], end[v]);
    		}
    		// 部分木の頂点を渡すと、頂点のリストを返す
    		public List<Integer> getPartList(int v) {
    			Set<Integer> set = new TreeSet<>();
				set.addAll(getPartTour(v));
				List<Integer> ans = new ArrayList<>();
				for(Integer p : set) {
					ans.add(p);
				}
				return ans;
    		}
    	}
    	
        // -----------------------------------------
        // グラフのリンクリスト
        static class Graph {
        	// 頂点に紐づく頂点のリスト
            private Map<Integer, List<Integer>> data = new HashMap<Integer, List<Integer>>();
//            // 全ての頂点のセット
//            private Set<Integer> point = new TreeSet<>();
            // 頂点と頂点の繋がりを追加する
            void add(int from, int to) {
            	List<Integer> list = data.get(from);
            	if(list == null) {
            		list = new ArrayList<Integer>();
            		data.put(from, list);
            	}
            	list.add(to);
//            	point.add(key);
//            	point.add(value);
            }
            // 指定された頂点に紐づく、頂点のリストを返す
            List<Integer> get(int key) {
            	return data.get(key);
            }
            // 頂点 key が登録されているか？
            boolean contains(int key) {
            	return data.containsKey(key);
            }
            
            //　頂点のセットを返す
            Set<Integer> keySet() {
            	return data.keySet();
            }
            // 頂点　key_1 と 頂点　key_2 がつながっていれば　true を返す
            boolean isConnect(int key_1, int key_2) {
            	List<Integer> list = data.get(key_1);
            	if(list == null)	return false;
            	else 				return list.contains(key_2);
            }
            // 指定された頂点から、すべての頂点への距離を返す
            List<PP> distList(int key) {
            	List<PP> dist = new ArrayList<>();		// 頂点と距離のペアのリスト
            	Set<Integer> mark = new HashSet<>();	// 処理したら入れる
    			Stack<PP> stack = new Stack<>();		// スタックの宣言
    			stack.push(new PP(key, 0));				// スタートをスタックに保存
    			while(!stack.isEmpty()) {
    				PP wk = stack.pop();				// スタックから次の頂点を取得
    				int pp = wk.getKey();
    				int dd = wk.getVal();
    				mark.add(pp);						// 通過マーク
        			dist.add(new PP(pp, dd));			// 距離を登録
    				List<Integer> list = get(pp);		// つながっている頂点のリストを取得
    				for(int next : list) {
    					if(mark.contains(next))	continue;
    					stack.push(new PP(next, dd + 1));
    				}
    			}
    			return dist;
            }
            // ダンプ
            void dump(PrintWriter out) {
            	for(int key : data.keySet()) {
            		out.print(key + " : ");
            		for(int val : data.get(key)) {
            			out.print(val + " ");
            		}
            		out.println("");
            	}
            }
        }
        // -----------------------------------------
        // 重さを持ったグラフのリンクリスト
        static class GraphWith {
        	// キーに紐づくリストに、頂点番号と重さのペアを持つ
            private Map<Integer, List<PP>> data = new HashMap<Integer, List<PP>>();
            // 指定された頂点に紐づく、頂点と重さのペアを追加する
            void add(int key, PP p) {
            	List<PP> list = data.get(key);
            	if(list == null) {
            		list = new ArrayList<PP>();
            		data.put(key, list);
            	}
            	list.add(p);
            }
            // 頂点に紐づく、頂点と重さのペアのリストを返す
            List<PP> get(int key) {
            	return data.get(key);
            }
            // 頂点 key が登録されているか？
            boolean contains(int key) {
            	return data.containsKey(key);
            }
            
            //　頂点のセットを返す
            Set<Integer> keySet() {
            	return data.keySet();
            }
            // 頂点　key_1 と 頂点　key_2 がつながっていれば　true を返す
            boolean isConnect(int key_1, int key_2) {
            	List<PP> list = data.get(key_1);
            	if(list == null)	return false;
            	boolean ans = false;
            	for(PP p : list) {
            		if(p.getKey() == key_2) {
            			ans = true;
            			break;
            		}
            	}
            	return ans;
            }
        }
        // -----------------------------------------
        // グラフのリンクリスト(Long)
        static class GraphLong {
            private Map<Long, List<Long>> G = new HashMap<Long, List<Long>>();
            void add(long key, long value) {
            	List<Long> list = G.get(key);
            	if(list == null) {
            		list = new ArrayList<Long>();
            		G.put(key, list);
            	}
            	list.add(value);
            }
            List<Long> get(long key) {
            	return G.get(key);
            }
        }
        // -----------------------------------------
        // 重さを持ったグラフのリンクリスト(Long)
        static class GraphLongWith {
            private Map<Long, List<PPL>> G = new HashMap<Long, List<PPL>>();
            void add(long key, PPL p) {
            	List<PPL> list = G.get(key);
            	if(list == null) {
            		list = new ArrayList<PPL>();
            		G.put(key, list);
            	}
            	list.add(p);
            }
            List<PPL> get(long key) {
            	return G.get(key);
            }
        }
        // -----------------------------------------

        void prn(String s) {
        	out.println(s);
        }
        void prn(int i) {
        	out.println(i);
        }
        void prn(long i) {
        	out.println(i);
        }
        void prr(String s) {
        	out.print(s);
        }
        int ni() {
        	return in.nextInt();
        }
        long nl() {
        	return in.nextLong();
        }
        double nd() {
        	return in.nextDouble();
        }
        String ns() {
        	return in.nextString();
        }
        int[] ndi(int n) {
        	int[] ans = new int[n];
        	for(int i=0; i < n; i++) {
        		ans[i] = ni();
        	}
        	return ans;
        }
        long[] ndl(int n) {
        	long[] ans = new long[n];
        	for(int i=0; i < n; i++) {
        		ans[i] = nl();
        	}
        	return ans;
        }
        double[] ndd(int n) {
        	double[] ans = new double[n];
        	for(int i=0; i < n; i++) {
        		ans[i] = nd();
        	}
        	return ans;
        }
        String[] nds(int n) {
        	String[] ans = new String[n];
        	for(int i=0; i < n; i++) {
        		ans[i] = ns();
        	}
        	return ans;
        }
        int[][] nddi(int n, int m) {
        	int[][] ans = new int[n][m];
        	for(int i=0; i < n; i++) {
            	for(int j=0; j < m; j++) {
            		ans[i][j] = ni();
            	}
        	}
        	return ans;
        }
        long[][] nddl(int n, int m) {
        	long[][] ans = new long[n][m];
        	for(int i=0; i < n; i++) {
            	for(int j=0; j < m; j++) {
            		ans[i][j] = nl();
            	}
        	}
        	return ans;
        }
    }
    // Set に入れるなら　PPKEY　を使う！
    static class PP{
    	public int key, val;
    	public PP(int key, int val) {
    		this.key = key;
    		this.val = val;
    	}
		public int getKey() {
			return key;
		}
		public void setKey(int key) {
			this.key = key;
		}
		public int getVal() {
			return val;
		}
		public void setVal(int val) {
			this.val = val;
		}
    }
    static class PPL {
    	public long key, val;
    	public PPL(long key, long val) {
    		this.key = key;
    		this.val = val;
    	}
		public long getKey() {
			return key;
		}
		public void setKey(long key) {
			this.key = key;
		}
		public long getVal() {
			return val;
		}
		public void setVal(long val) {
			this.val = val;
		}
    }
    static class PPDL {
    	public long key;
    	public long[] val;
    	public PPDL(long key, long[] val) {
    		this.key = key;
    		this.val = val;
    	}
		public long getKey() {
			return key;
		}
		public void setKey(long key) {
			this.key = key;
		}
		public long[] getVal() {
			return val;
		}
		public void setVal(long[] val) {
			this.val = val;
		}
		public void dump(PrintWriter out) {
			out.print("key = " + key + "  val ");
			for(int i=0; i < val.length; i++) {
				out.print("[" + val[i] + "] ");
			}
			out.println("");
		}
    }
    // HashMap のキーに使う　→　Set に入れるのもこれ（PPでは値での比較が行われない）
    static final class PPKEY{
    	private final int key, val;
    	public PPKEY(int key, int val) {
    		this.key = key;
    		this.val = val;
    	}
		public int getKey() {
			return key;
		}
		public int getVal() {
			return val;
		}
	    @Override
	    public boolean equals(Object obj) {
	        if (obj instanceof PPKEY) {
	        	PPKEY dest = (PPKEY) obj;
	            return this.key == dest.key && this.val == dest.val;
	        } else {
	            return false;
	        }
	    }
	    @Override
	    public int hashCode() {
	        return Objects.hash(key, val);
	    }
    }
    // HashMap のキーに使う　→　Set に入れるのもこれ（PPでは値での比較が行われない）
    static final class PPLKEY{
    	private final long key, val;
    	public PPLKEY(long key, long val) {
    		this.key = key;
    		this.val = val;
    	}
		public long getKey() {
			return key;
		}
		public long getVal() {
			return val;
		}
	    @Override
	    public boolean equals(Object obj) {
	        if (obj instanceof PPKEY) {
	        	PPKEY dest = (PPKEY) obj;
	            return this.key == dest.key && this.val == dest.val;
	        } else {
	            return false;
	        }
	    }
	    @Override
	    public int hashCode() {
	        return Objects.hash(key, val);
	    }
    }
    // ======================================================================
    static class Pair<K, V> extends AbstractMap.SimpleEntry<K, V> {
        /** serialVersionUID. */
        private static final long serialVersionUID = 6411527075103472113L;

        public Pair(final K key, final V value) {
            super(key, value);
        }
     }
    static class MyInput {
        private final BufferedReader in;
        private static int pos;
        private static int readLen;
        private static final char[] buffer = new char[1024 * 8];
        private static char[] str = new char[500 * 8 * 2];
        private static boolean[] isDigit = new boolean[256];
        private static boolean[] isSpace = new boolean[256];
        private static boolean[] isLineSep = new boolean[256];

        static {
            for (int i = 0; i < 10; i++) {
                isDigit['0' + i] = true;
            }
            isDigit['-'] = true;
            isSpace[' '] = isSpace['\r'] = isSpace['\n'] = isSpace['\t'] = true;
            isLineSep['\r'] = isLineSep['\n'] = true;
        }

        public MyInput(InputStream is) {
            in = new BufferedReader(new InputStreamReader(is));
        }

        public int read() {
            if (pos >= readLen) {
                pos = 0;
                try {
                    readLen = in.read(buffer);
                } catch (IOException e) {
                    throw new RuntimeException();
                }
                if (readLen <= 0) {
                    throw new MyInput.EndOfFileRuntimeException();
                }
            }
            return buffer[pos++];
        }

        public int nextInt() {
            int len = 0;
            str[len++] = nextChar();
            len = reads(len, isSpace);
            int i = 0;
            int ret = 0;
            if (str[0] == '-') {
                i = 1;
            }
            for (; i < len; i++) ret = ret * 10 + str[i] - '0';
            if (str[0] == '-') {
                ret = -ret;
            }
            return ret;
        }

        public long nextLong() {
            int len = 0;
            str[len++] = nextChar();
            len = reads(len, isSpace);
            int i = 0;
            long ret = 0L;
            if (str[0] == '-') {
                i = 1;
            }
            for (; i < len; i++) ret = ret * 10 + str[i] - '0';
            if (str[0] == '-') {
                ret = -ret;
            }
            return ret;
        }

        public double nextDouble() {
            int len = 0;
            str[len++] = nextChar();
            len = reads(len, isSpace);
            int i = 0;
            double ret = 0;
            if (str[0] == '-') {
                i = 1;
            }
            int cnt = 0;
            for (; i < len; i++) {
            	if(str[i] == '.') {
            		cnt = 10;
            		continue;
            	}
            	if(cnt == 0) {
            		ret = ret * 10 + str[i] - '0';
            	} else {
            		ret = ret + ((double)(str[i] - '0') / cnt);
            		cnt *= 10;
            	}
            }
            if (str[0] == '-') {
                ret = -ret;
            }
            return ret;
        }

       public String nextString() {
        	String ret = new String(nextDChar()).trim();
            return ret;
        }

        public char[] nextDChar() {
            int len = 0;
            len = reads(len, isSpace);
            char[] ret = new char[len + 1];
            for (int i=0; i < len; i++)		ret[i] = str[i];
            ret[len] = 0x00;
            return ret;
        }

        public char nextChar() {
            while (true) {
                final int c = read();
                if (!isSpace[c]) {
                    return (char) c;
                }
            }
        }

        int reads(int len, boolean[] accept) {
            try {
                while (true) {
                    final int c = read();
                    if (accept[c]) {
                        break;
                    }
                    if (str.length == len) {
                        char[] rep = new char[str.length * 3 / 2];
                        System.arraycopy(str, 0, rep, 0, str.length);
                        str = rep;
                    }
                    str[len++] = (char) c;
                }
            } catch (MyInput.EndOfFileRuntimeException e) {
            }
            return len;
        }

        static class EndOfFileRuntimeException extends RuntimeException {
        }
    }
}
