Codeforces 659C Tanya and Toys 【水题】

题目链接：Codeforces 659C Tanya and Toys

C. Tanya and Toys
time limit per test1 second
memory limit per test256 megabytes
inputstandard input
outputstandard output
In Berland recently a new collection of toys went on sale. This collection consists of 109 types of toys, numbered with integers from 1 to 109. A toy from the new collection of the i-th type costs i bourles.

Tania has managed to collect n different types of toys a1, a2, …, an from the new collection. Today is Tanya’s birthday, and her mother decided to spend no more than m bourles on the gift to the daughter. Tanya will choose several different types of toys from the new collection as a gift. Of course, she does not want to get a type of toy which she already has.

Tanya wants to have as many distinct types of toys in her collection as possible as the result. The new collection is too diverse, and Tanya is too little, so she asks you to help her in this.

Input
The first line contains two integers n (1 ≤ n ≤ 100 000) and m (1 ≤ m ≤ 109) — the number of types of toys that Tanya already has and the number of bourles that her mom is willing to spend on buying new toys.

The next line contains n distinct integers a1, a2, …, an (1 ≤ ai ≤ 109) — the types of toys that Tanya already has.

Output
In the first line print a single integer k — the number of different types of toys that Tanya should choose so that the number of different types of toys in her collection is maximum possible. Of course, the total cost of the selected toys should not exceed m.

In the second line print k distinct space-separated integers t1, t2, …, tk (1 ≤ ti ≤ 109) — the types of toys that Tanya should choose.

If there are multiple answers, you may print any of them. Values of ti can be printed in any order.

Examples
input
3 7
1 3 4
output
2
2 5
input
4 14
4 6 12 8
output
4
7 2 3 1
Note
In the first sample mom should buy two toys: one toy of the 2-nd type and one toy of the 5-th type. At any other purchase for 7 bourles (assuming that the toys of types 1, 3 and 4 have already been bought), it is impossible to buy two and more toys.

题意：有n种已经拥有的物品和m元钱，第i种物品价格为i。问你最多可以拥有的物品种类。

AC代码：

#include <iostream>
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <algorithm>
#include <vector>
#include <queue>
#include <map>
#include <stack>
#define PI acos(-1.0)
#define CLR(a, b) memset(a, (b), sizeof(a))
#define fi first
#define se second
#define ll o<<1
#define rr o<<1|1
using namespace std;
typedef long long LL;
typedef pair<int, int> pii;
const int MAXN = 1e5 + 10;
const int pN = 1e6;// <= 10^7
const int INF = 0x3f3f3f3f;
const int MOD = 1e9 + 7;
void add(LL &x, LL y) { x += y; x %= MOD; }
map<int, bool> fp;
int main()
{
    int n, m; scanf("%d%d", &n, &m);
    fp.clear();
    for(int i = 0; i < n; i++) {
        int v; scanf("%d", &v);
        fp[v] = true;
    }
    int type = 1;
    queue<int> Q;
    while(m > 0) {
        if(fp[type]) {
            type++;
            continue;
        }
        if(m - type >= 0) {
            m -= type;
            Q.push(type);
            type++;
        }
        else break;
    }
    printf("%d\n", Q.size());
    int cnt = 0;
    while(!Q.empty()) {
        if(cnt) printf(" ");
        printf("%d", Q.front()); Q.pop(); cnt++;
    }
    if(cnt) printf("\n");
    return 0;
}