Problem:
Score : 400 points

Problem Statement

We have N bricks arranged in a row from left to right.

The i-th brick from the left (1 \leq i \leq N) has an integer a_i written on it.

Among them, you can break at most N-1 bricks of your choice.

Let us say there are K bricks remaining. Snuke will be satisfied if, for each integer i (1 \leq i \leq K), the i-th of those brick from the left has the integer i written on it.

Find the minimum number of bricks you need to break to satisfy Snuke's desire. If his desire is unsatisfiable, print -1 instead.

Constraints

All values in input are integers.

1 \leq N \leq 200000

1 \leq a_i \leq N

Input

Input is given from Standard Input in the following format:

N
a_1 a_2 ... a_N

Output

Print the minimum number of bricks that need to be broken to satisfy Snuke's desire, or print -1 if his desire is unsatisfiable.

Sample Input 1

3
2 1 2

Sample Output 1

1

If we break the leftmost brick, the remaining bricks have integers 1 and 2 written on them from left to right, in which case Snuke will be satisfied.

Sample Input 2

3
2 2 2

Sample Output 2

-1

In this case, there is no way to break some of the bricks to satisfy Snuke's desire.

Sample Input 3

10
3 1 4 1 5 9 2 6 5 3

Sample Output 3

7

Sample Input 4

1
1

Sample Output 4

0

There may be no need to break the bricks at all.

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;

// 91
// 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 13 14 14 14 15 15 15 16 16 16 17 17 17 18 18 18 19 19 19 20 20 20 21 21 21 22 22 22 23 23 23 24 24 24 25 25 25 26 26 26 27 27 27 28 28 28 29 29 29 30 30 30
namespace AtCoder
{
    class Program
    {
        static void Main(string[] args)
        {
            input_iter = LazyLoadAllLines();
            //------------------------------------------------//
            var n = Read<long>();
            //var b = Read<long>();
            //var x = Read<long>();
            //var s = Read();
            /*List<string> sls = new List<string>();
            for(int i = 0; i < h; ++i)
            {
                sls.Add(Read());
            }*/
            var als = Read<long>(n);
            //var fls = Read<long>(n);
            //List<long> als = new List<long>(), bls = new List<long>();
            /*List<List<long>> dcls = new List<List<long>>();
            for (int i = 0; i < m; ++i)
            {
                dcls.Add(Read<long>(2));
            }*/
            //List<List<long>> abls = new List<List<long>>();
            //List<long> cls = new List<long>();
            /*List<long> edgeNum = Enumerable.Repeat(0L, (int)n).ToList();
            for (int i = 0; i < n - 1; ++i)
            {
                abls.Add(Read<long>(2));
                abls[i].Add(i);
                abls[i].Add(-1);
                --abls[i][0];
                --abls[i][1];
                //cls.Add(Read<long>());
                ++edgeNum[(int)abls[i][0]];
                ++edgeNum[(int)abls[i][1]];
            }*/

            //als.Sort((l, r) => (int)(l - r));

            var cnt = 0;
            var curNum = 1L;
            foreach(var a in als)
            {
                if(a == curNum)
                {
                    ++curNum;
                }
                else
                {
                    ++cnt;
                }
            }
            if (cnt == als.Count) cnt = -1;

            Console.WriteLine(cnt);
        }

        public static long GCD(long a, long b)
        { // a > b
            if (b == 0) return a;
            a = a % b;
            return a > b ? GCD(a, b) : GCD(b, a);
        }

        static IEnumerator<string> input_iter;

        static _T Read<_T>() where _T : struct
        {
            input_iter.MoveNext();
            return (_T)Convert.ChangeType(input_iter.Current, typeof(_T));
        }
        static string Read()
        {
            input_iter.MoveNext();
            return input_iter.Current;
        }
        static List<_T> Read<_T>(long num) where _T : struct { return new List<_T>(Enumerate<_T>(num)); }


        static IEnumerable<_T> Enumerate<_T>(long num)
        {
            for (long i = 0; i < num; ++i)
            {
                input_iter.MoveNext();
                yield return (_T)Convert.ChangeType(input_iter.Current, typeof(_T));
            }
        }
        static IEnumerator<string> LazyLoadAllLines()
        {
            string line;
            do
            {
                line = Console.ReadLine();
                foreach (var s in line.Split(' '))
                    yield return s;
            } while (line != null);
        }

        public class PriorityQueue<T> where T : IComparable
        {
            private IComparer<T> comparer = null;
            private bool isAccendingOrder;

            private List<T> heap;
            private int heapCurrentSize = 0;

            public PriorityQueue(IComparer<T> comparer, int initialHeapSize = 256)
            {
                heap = new List<T>(initialHeapSize);
                this.comparer = comparer;
            }

            public PriorityQueue(bool isAccending = true, int initialHeapSize = 256)
            {
                heap = new List<T>(initialHeapSize);
                isAccendingOrder = isAccending;
            }

            private int Compare(T x, T y)
            {
                if (comparer != null) return comparer.Compare(x, y);
                return isAccendingOrder ? x.CompareTo(y) : y.CompareTo(x);
            }

            public bool Empty()
            {
                return Count() == 0;
            }

            public int Count()
            {
                return heapCurrentSize;
            }

            public void Push(T x)
            {
                //node number
                var idx = heapCurrentSize++;
                if (heapCurrentSize > heap.Count) heap.Capacity *= 2;

                while (idx > 0)
                {
                    //parent node number
                    var parentIdx = (idx - 1) / 2;

                    if (Compare(heap[parentIdx], x) <= 0) break;

                    heap[idx] = heap[parentIdx];
                    idx = parentIdx;
                }

                heap[idx] = x;
            }

            public T Pop()
            {
                T ret = heap[0];
                T x = heap[--heapCurrentSize];

                int idx = 0;
                while (idx * 2 + 1 < heapCurrentSize)
                {
                    //children
                    int a = idx * 2 + 1;
                    int b = idx * 2 + 2;

                    if (b < heapCurrentSize && Compare(heap[b], heap[a]) < 0) a = b;

                    if (Compare(heap[a], x) >= 0) break;

                    heap[idx] = heap[a];
                    idx = a;
                }

                heap[idx] = x;

                return ret;
            }

            public T Peek()
            {
                return heap[0];
            }

            public bool Contains(T x)
            {
                for (int i = 0; i < heapCurrentSize; i++) if (x.Equals(heap[i])) return true;
                return false;
            }

            public void Clear()
            {
                while (heapCurrentSize > 0) Pop();
            }

            public IEnumerator<T> GetEnumerator()
            {
                var temp = new List<T>();

                while (heapCurrentSize > 0)
                {
                    temp.Add(Pop());
                }

                foreach (var value in temp)
                {
                    Push(value);
                    yield return value;
                }
            }

            public T[] ToArray()
            {
                T[] array = new T[heapCurrentSize];
                int i = 0;

                foreach (var r in this)
                {
                    array[i] = r;
                    ++i;
                }

                return array;
            }
        }
    }
}