Problem: The only difference between easy and hard versions is constraints.

You are given n segments on the coordinate axis OX. Segments can intersect, lie inside each other and even coincide. The i-th segment is [l_i; r_i] (l_i ≤ r_i) and it covers all integer points j such that l_i ≤ j ≤ r_i.

The integer point is called bad if it is covered by strictly more than k segments.

Your task is to remove the minimum number of segments so that there are no bad points at all.

Input

The first line of the input contains two integers n and k (1 ≤ k ≤ n ≤ 200) — the number of segments and the maximum number of segments by which each integer point can be covered.

The next n lines contain segments. The i-th line contains two integers l_i and r_i (1 ≤ l_i ≤ r_i ≤ 200) — the endpoints of the i-th segment.

Output

In the first line print one integer m (0 ≤ m ≤ n) — the minimum number of segments you need to remove so that there are no bad points.

In the second line print m distinct integers p_1, p_2, ..., p_m (1 ≤ p_i ≤ n) — indices of segments you remove in any order. If there are multiple answers, you can print any of them.

Examples

Input


7 2
11 11
9 11
7 8
8 9
7 8
9 11
7 9


Output


3
1 4 7 


Input


5 1
29 30
30 30
29 29
28 30
30 30


Output


3
1 2 4 


Input


6 1
2 3
3 3
2 3
2 2
2 3
2 3


Output


4
1 3 5 6 

Solution (in PYTHON3):

Solution:
    
import heapq
 
n,k=map(int,input().split())
 
st=[]
L=[0]*(200005)
for i in range(0,n):
    l,r=map(int,input().split())
    st.append((r,l,i+1))
    L[l]+=1
    L[r+1]-=1
 
pre=[0]
for i in range(1,len(L)):
    pre.append(pre[-1]+L[i])
 
st2=sorted(st)
st2=st2[::-1]
 
dp=[]
for i in range(0,200005):
    h=[]
    dp.append(h)
 
 
for i in range(0,len(st2)):
    dp[st2[i][1]].append(i+1)
    dp[st2[i][0]+1].append(-i-1)
 
#print(st2)
#print('pre',pre[25:31]) 
tot=0
ans=[]
 
 
pos=[0]*(200005)
yaad=[0]*(n+2)
q=[]
heapq.heapify(q)
c=0
for i in range(1,200002):
    #print(i,q)
    c=c+pos[i]
    for j in range(0,len(dp[i])):  
        if(dp[i][j]>0):
            yaad[dp[i][j]]+=1
            heapq.heappush(q,dp[i][j])
        else:
            yaad[-dp[i][j]]-=1
    #print(i,q,c)
    if(pre[i]-c>k):
        c2=0
        while(pre[i]-c>k):
            tt=heapq.heappop(q)
            if(yaad[tt]>0):
                tot+=1
                ans.append(st2[tt-1][2])
                pos[st2[tt-1][0]+1]-=1
                c2+=1
                pre[i]-=1
        c+=c2
        
if(len(ans)>0):
    ans=sorted(ans)
print(tot)
print(*ans)