Vasily has a deck of cards consisting of n cards. There is an integer on each of the cards, this integer is between 1 and 100 000, inclusive. It is possible that some cards have the same integers on them.

Vasily decided to sort the cards. To do this, he repeatedly takes the top card from the deck, and if the number on it equals the minimum number written on the cards in the deck, then he places the card away. Otherwise, he puts it under the deck and takes the next card from the top, and so on. The process ends as soon as there are no cards in the deck. You can assume that Vasily always knows the minimum number written on some card in the remaining deck, but doesn't know where this card (or these cards) is.

You are to determine the total number of times Vasily takes the top card from the deck.

Input

The first line contains single integer n (1 ≤ n ≤ 100 000) — the number of cards in the deck.

The second line contains a sequence of n integers a1, a2, ..., an (1 ≤ ai ≤ 100 000), where ai is the number written on the i-th from top card in the deck.

Output

Print the total number of times Vasily takes the top card from the deck.

Examples

Input

4
6 3 1 2


Output

7


Input

1
1000


Output

1


Input

7
3 3 3 3 3 3 3


Output

7

Note

In the first example Vasily at first looks at the card with number 6 on it, puts it under the deck, then on the card with number 3, puts it under the deck, and then on the card with number 1. He places away the card with 1, because the number written on it is the minimum among the remaining cards. After that the cards from top to bottom are [2, 6, 3]. Then Vasily looks at the top card with number 2 and puts it away. After that the cards from top to bottom are [6, 3]. Then Vasily looks at card 6, puts it under the deck, then at card 3 and puts it away. Then there is only one card with number 6 on it, and Vasily looks at it and puts it away. Thus, in total Vasily looks at 7 cards.
import java.io.*;
import java.lang.reflect.Array;
import java.math.*;
import java.security.KeyStore.Entry;
import java.util.*;
 
public class Main {
	private InputStream is;
	private PrintWriter out;
	int time = 0, dp[][], DP[][], dist[], prime[], start[], parent[], end[],
			val[], black[], arr[], arr1[][];
	long MOD = (long) (1e9 + 9);
	TreeSet<Integer>[] amp;
	boolean b[], b1[];
	Pair prr1[];
	char ch[][], c[];
	HashSet<Integer> hs1 = new HashSet<>(), hs2 = new HashSet<>();
 
	public static void main(String[] args) throws Exception {
		new Thread(null, new Runnable() {
			public void run() {
				try {
 
					// new Main().soln();
				} catch (Exception e) {
					System.out.println(e);
				}
			}
		}, "1", 1 << 26).start();
		new Main().soln();
	}
 
	int MAX = 1000010, N, K, p = 1;
	PriorityQueue<Pair> pq;
	int Dp[][] = new int[1010][1010];
	int MOD1 = 1000000007, MOD2 = 1000000009;
	void solve() {
		int n = ni();
		FenwickTree ft = new FenwickTree(n+100);
		amp = (TreeSet<Integer>[]) new TreeSet[100001];
		for(int i = 0;i<=100000;i++) amp[i] = new TreeSet<>();
		for(int i = 1;i<=n;i++){
			amp[ni()].add(i);
			ft.update(i, 1);;
		}
		long fa = 0;
		int l = 0;
		for(int i = 1;i<=100000;i++){
			while(!amp[i].isEmpty()){
				Integer v = amp[i].higher(l);
				if(v==null){
					v = amp[i].higher(0);
				}
				//System.out.println(v+" "+l);
				//System.out.println(prr[i].u+" "+prr[i].v);
				if(v>l){
					fa += ft.rsq(l+1,v);
				}
				else{
					fa += ft.rsq(l+1,n);
					fa += ft.rsq(1,v);
				}
				l = v;
				amp[i].remove(v);
				ft.update(v, -1);
				//System.out.println(fa);
			}
			//System.out.println(fa);
		}
		System.out.println(fa);
	}
	class cell implements Comparable<cell>{
		char ch;
		int i;
		cell(char c, int x){
			ch = c;
			i = x;
		}
		public boolean equals(Object o) {
			cell other = (cell) o;
			return ((ch == other.ch && i == other.i));// || (v == other.u && u ==
			// other.v));
		}
		@Override
		public int compareTo(cell c) {
			if(this.ch<c.ch) return -1;
			if(this.ch==c.ch) {
				if(this.i<c.i)return 1;
				if(this.i==c.i) return 0;
				return -1;
			}
			return 1;
		}
 
		public String toString() {
			return "[u=" + ch + ", v=" + i + "]";
		}
		
	}
	int T[] = new int[100010], L[] = new int[100010];
	int P[][] = new int[100010][30];
 
	void process3(int N) {
		int i, j;
 
		// we initialize every element in P with -1
		for (i = 0; i < N; i++)
			for (j = 0; 1 << j < N; j++)
				P[start[i]][j] = -1;
 
		// the first ancestor of every node i is T[i]
		for (i = 0; i < N; i++)
			P[start[i]][0] = T[i];
 
		// bottom up dynamic programing
		for (j = 1; 1 << j < N; j++)
			for (i = 0; i < N; i++)
				if (P[start[i]][j - 1] != -1)
					P[start[i]][j] = P[P[start[i]][j - 1]][j - 1];
	}
 
	int query(int p, int q) {
		int tmp = 0, log = 0, i = 0;
 
		// if p is situated on a higher level than q then we swap them
		if (L[p] < L[q])
			tmp = p;
		p = q;
		q = tmp;
 
		// we compute the value of [log(L[p)]
		for (log = 1; 1 << log <= L[p]; log++)
			;
		log--;
 
		// we find the ancestor of node p situated on the same level
		// with q using the values in P
		for (i = log; i >= 0; i--)
			if (L[p] - (1 << i) >= L[q])
				p = P[p][i];
 
		if (p == q)
			return p;
 
		// we compute LCA(p, q) using the values in P
		for (i = log; i >= 0; i--)
			if (P[p][i] != -1 && P[p][i] != P[q][i])
				p = P[p][i];
		q = P[q][i];
 
		return T[p];
	}
 
 
	long ans = 0;
 
	void recur(int i, int k, long sum) {
		if (k > K)
			return;
		if (k == K) {
			ans = Math.max(ans, sum);
		}
		for (int j = i; j < N; j++) {
 
			recur(j + 1, k + 1, sum);
		}
	}
 
	long[] mul(long arr[][], long temp[]) {
		long ans[] = new long[temp.length];
		for (int i = 0; i < arr.length; i++) {
			long sum = 0;
			for (int j = 0; j < arr.length; j++) {
				sum = (sum + arr[i][j] * temp[j]) % MOD;
			}
			ans[i] = sum;
		}
		return ans;
	}
 
	void printMat(long arr[][]) {
		for (int i = 0; i < arr.length; i++) {
			for (int j = 0; j < arr.length; j++) {
				System.out.print(arr[i][j] + " ");
			}
			System.out.println();
		}
		System.out.println("-----");
	}
 
	void printMat(long arr[]) {
		for (int i = 0; i < arr.length; i++) {
			System.out.print(arr[i] + " ");
		}
		System.out.println();
		System.out.println("-----");
	}
 
	long[][] matMul(int n, long arr[][], long y) {
		long iden[][] = new long[n][n];
		for (int i = 0; i < n; i++)
			iden[i][i] = 1;
		// printMat(iden);
		while (y > 0) {
			if (y % 2 == 1) {
				iden = mul(n, iden, arr);
				// printMat(iden);
				y--;
			} else {
				arr = mul(n, arr, arr);
				// printMat(arr);
				y /= 2;
			}
		}
		return iden;
	}
 
	long[][] mul(int n, long a1[][], long a2[][]) {
		long temp[][] = new long[n][n];
		for (int i = 0; i < n; i++) {
			for (int j = 0; j < n; j++) {
				long sum = 0;
				for (int k = 0; k < n; k++) {
					sum = (sum + a1[i][k] * a2[k][j]) % MOD;
				}
				temp[i][j] = sum;
			}
		}
		return temp;
	}
 
	void seive(int n) {
		b = new boolean[n + 1];
		prime = new int[n + 1];
		for (int i = 2; i * i <= n; i++) {
			if (!b[i]) {
				for (int j = 2 * i; j <= n; j += i) {
					if (!b[j]) {
						b[j] = true;
						prime[j] = i;
					}
				}
			}
		}
	}
 
	int binarySearch1(int arr[], int x) {
		int ans = -1;
		int low = 0, high = arr.length - 1;
		while (high >= low) {
			int mid = (low + high) / 2;
			if (arr[mid] >= x) {
				ans = mid;
				high = mid - 1;
			} else
				low = mid + 1;
		}
		return ans;
	}
 
	int binarySearch2(Integer arr[], int x) {
		int ans = -1;
		int low = 0, high = arr.length - 1;
		while (high >= low) {
			int mid = (low + high) / 2;
			if (arr[mid] >= x) {
				ans = mid;
				low = mid + 1;
			} else
				high = mid - 1;
		}
		return ans + 1;
	}
 
	int cntEven(String str) {
		int cnt = 0;
		for (int i = str.length() - 1; i >= 0; i--) {
			if ((str.charAt(i) - '0') % 2 == 0) {
				cnt++;
			}
		}
		return cnt;
	}
 
	int max = 0;
 
	int getParent(int x) {
		// System.out.println(x+" "+parent[x]);
		if (parent[x] != x) {
			parent[x] = getParent(parent[x]);
		}
		return parent[x];
	}
 
	class Pair implements Comparable<Pair> {
		int u,v;
		Pair(int u, int v) {
			this.u = u;
			this.v = v;
		}
 
		public int hashCode() {
			return Objects.hash();
		}
 
		public boolean equals(Object o) {
			Pair other = (Pair) o;
			return ((u == other.u && v == other.v));// || (v == other.u && u ==
			// other.v));
		}
 
		public int compareTo(Pair other) {
			//return Long.compare(r, other.r);
			 return Long.compare(u, other.u) != 0 ? (Long.compare(u, other.u))
			 : (Long.compare(v, other.v));
			// :(Long.compare(other.r, r))) ;
		}
 
	}
 
	int min(int x, int y) {
		if (x < y)
			return x;
		return y;
	}
 
	int max(int x, int y) {
		if (x > y)
			return x;
		return y;
	}
 
 
	long modInverse(long a, long mOD2) {
		return power(a, mOD2 - 2, mOD2);
	}
 
	long power(long x, long y, long m) {
		if (y == 0)
			return 1;
		long p = power(x, y / 2, m) % m;
		p = (p * p) % m;
 
		return (y % 2 == 0) ? p : (x * p) % m;
	}
 
	boolean isPrime(int x) {
		for (int i = 2; i * 1L * i <= x; i++)
			if (x % i == 0)
				return false;
		return true;
	}
 
	public long gcd(long a, long b) {
		if (b == 0)
			return a;
		return gcd(b, a % b);
	}
 
	void failFn(String str, int arr[]) {
		int len = 0;
		arr[0] = 0;
		int i = 1;
		while (i < arr.length) {
			if (str.charAt(i) == str.charAt(len)) {
				arr[i++] = ++len;
				continue;
			}
			if (len == 0) {
				arr[i] = len;
				i++;
				continue;
			}
			if (str.charAt(i) != str.charAt(len)) {
				len = arr[len - 1];
			}
		}
	}
 
	static class ST1 {
		int arr[], st[], size;
 
		ST1(int a[]) {
			arr = a.clone();
			size = 10 * arr.length;
			st = new int[size];
			build(0, arr.length - 1, 1);
		}
 
		void build(int ss, int se, int si) {
			if (ss == se) {
				st[si] = arr[ss];
				return;
			}
			int mid = (ss + se) / 2;
			int val = 2 * si;
			build(ss, mid, val);
			build(mid + 1, se, val + 1);
			st[si] = (st[val] + st[val + 1]);
		}
 
		int get(int ss, int se, int l, int r, int si) {
			if (l > se || r < ss || l > r)
				return Integer.MAX_VALUE;
			if (l <= ss && r >= se)
				return st[si];
			int mid = (ss + se) / 2;
			int val = 2 * si;
			return (get(ss, mid, l, r, val) + get(mid + 1, se, l, r, val + 1));
		}
	}
 
	static class ST {
		int arr[], lazy[], n;
 
		ST(int a) {
			n = a;
			arr = new int[10 * n];
			lazy = new int[10 * n];
		}
 
		void up(int l, int r, int val) {
			update(0, n - 1, 0, l, r, val);
		}
 
		void update(int l, int r, int c, int x, int y, int val) {
			if (lazy[c] != 0) {
				lazy[2 * c + 1] ^= lazy[c];
				lazy[2 * c + 2] ^= lazy[c];
				if (l == r)
					arr[c] ^= lazy[c];
				lazy[c] = 0;
			}
			if (l > r || x > y || l > y || x > r)
				return;
			if (x <= l && y >= r) {
				if ((r - l + 1) % 2 == 1)
					lazy[c] ^= val;
				return;
			}
			int mid = l + r >> 1;
		update(l, mid, 2 * c + 1, x, y, val);
		update(mid + 1, r, 2 * c + 2, x, y, val);
		arr[c] = (arr[2 * c + 1] + arr[2 * c + 2]);
		}
 
		int an(int ind) {
			return ans(0, n - 1, 0, ind);
		}
 
		int ans(int l, int r, int c, int ind) {
			if (lazy[c] != 0) {
				lazy[2 * c + 1] += lazy[c];
				lazy[2 * c + 2] += lazy[c];
				if (l == r)
					arr[c] += lazy[c];
				lazy[c] = 0;
			}
			if (l == r)
				return arr[c];
			int mid = l + r >> 1;
		if (mid >= ind)
			return ans(l, mid, 2 * c + 1, ind);
		return ans(mid + 1, r, 2 * c + 2, ind);
		}
	}
	static long[] array;
	public static class FenwickTree {
 
		 // 1-indexed array, In this array We save cumulative
		// information to perform efficient range queries and
		// updates
 
		public FenwickTree(int size) {
			array = new long[size + 1];
		}
		int getSum(int index)
		{
			int sum = 0; // Iniialize result
 
			// index in BITree[] is 1 more than the index in arr[]
			//index = index + 1;
 
			// Traverse ancestors of BITree[index]
			while (index>0)
			{
				// Add current element of BITree to sum
				sum += array[index];
 
				// Move index to parent node in getSum View
				index -= index & (-index);
			}
			return sum;
		}
		public long rsq(int ind) {
			assert ind > 0;
			long sum = 0;
			//ind = ind+1;
			while (ind > 0) {
				sum += array[ind];
				// Extracting the portion up to the first significant one of the
				// binary representation of 'ind' and decrementing ind by that
				// number
				ind -= ind & (-ind);
			}
			return sum;
		}
 
		public long rsq(int a, int b) {
			assert b >= a && a > 0 && b > 0;
			return rsq(b) - rsq(a - 1);
		}
 
		public void update(int ind, long value) {
			assert ind > 0;
			//ind = ind+1;
			while (ind < array.length) {
				array[ind] += value;
				// Extracting the portion up to the first significant one of the
				// binary representation of 'ind' and incrementing ind by that
				// number
				ind += ind & (-ind);
			}
		}
 
		public int size() {
			return array.length - 1;
		}
	}
 
	public static int[] shuffle(int[] a, Random gen) {
		for (int i = 0, n = a.length; i < n; i++) {
			int ind = gen.nextInt(n - i) + i;
			int d = a[i];
			a[i] = a[ind];
			a[ind] = d;
		}
		return a;
	}
 
	long power(long x, long y, int mod) {
		long ans = 1;
		while (y > 0) {
			if (y % 2 == 0) {
				x = (x * x) % mod;
				y /= 2;
			} else {
				ans = (x * ans) % mod;
				y--;
			}
		}
		return ans;
	}
 
	void soln() {
		is = System.in;
		out = new PrintWriter(System.out);
		long s = System.currentTimeMillis();
		solve();
		out.close();
		out.flush();
		tr(System.currentTimeMillis() - s + "ms");
	}
 
	// To Get Input
	// Some Buffer Methods
	private byte[] inbuf = new byte[1024];
	public int lenbuf = 0, ptrbuf = 0;
 
	private int readByte() {
		if (lenbuf == -1)
			throw new InputMismatchException();
		if (ptrbuf >= lenbuf) {
			ptrbuf = 0;
			try {
				lenbuf = is.read(inbuf);
			} catch (IOException e) {
				throw new InputMismatchException();
			}
			if (lenbuf <= 0)
				return -1;
		}
		return inbuf[ptrbuf++];
	}
 
	private boolean isSpaceChar(int c) {
		return !(c >= 33 && c <= 126);
	}
 
	private int skip() {
		int b;
		while ((b = readByte()) != -1 && isSpaceChar(b))
			;
		return b;
	}
 
	private double nd() {
		return Double.parseDouble(ns());
	}
 
	private char nc() {
		return (char) skip();
	}
 
	private String ns() {
		int b = skip();
		StringBuilder sb = new StringBuilder();
		while (!(isSpaceChar(b))) { // when nextLine, (isSpaceChar(b) && b != '
			// ')
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}
 
	private char[] ns(int n) {
		char[] buf = new char[n];
		int b = skip(), p = 0;
		while (p < n && !(isSpaceChar(b))) {
			buf[p++] = (char) b;
			b = readByte();
		}
		return n == p ? buf : Arrays.copyOf(buf, p);
	}
 
	private char[][] nm(int n, int m) {
		char[][] map = new char[n][];
		for (int i = 0; i < n; i++)
			map[i] = ns(m);
		return map;
	}
 
	private int[] na(int n) {
		int[] a = new int[n];
		for (int i = 0; i < n; i++)
			a[i] = ni();
		return a;
	}
 
	private int ni() {
		int num = 0, b;
		boolean minus = false;
		while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
			;
		if (b == '-') {
			minus = true;
			b = readByte();
		}
 
		while (true) {
			if (b >= '0' && b <= '9') {
				num = num * 10 + (b - '0');
			} else {
				return minus ? -num : num;
			}
			b = readByte();
		}
	}
 
	private long nl() {
		long num = 0;
		int b;
		boolean minus = false;
		while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
			;
		if (b == '-') {
			minus = true;
			b = readByte();
		}
 
		while (true) {
			if (b >= '0' && b <= '9') {
				num = num * 10 + (b - '0');
			} else {
				return minus ? -num : num;
			}
			b = readByte();
		}
	}
 
	private boolean oj = System.getProperty("ONLINE_JUDGE") != null;
 
	private void tr(Object... o) {
		if (!oj)
			System.out.println(Arrays.deepToString(o));
	}
} 