Problem:
Score : 400 points

Problem Statement

There are N one-off jobs available. If you take the i-th job and complete it, you will earn the reward of B_i after A_i days from the day you do it.

You can take and complete at most one of these jobs in a day.

However, you cannot retake a job that you have already done.

Find the maximum total reward that you can earn no later than M days from today.

You can already start working today.

Constraints

All values in input are integers.

1 \leq N \leq 10^5

1 \leq M \leq 10^5

1 \leq A_i \leq 10^5

1 \leq B_i \leq 10^4

Input

Input is given from Standard Input in the following format:

N M
A_1 B_1
A_2 B_2
\vdots
A_N B_N

Output

Print the maximum total reward that you can earn no later than M days from today.

Sample Input 1

3 4
4 3
4 1
2 2

Sample Output 1

5

You can earn the total reward of 5 by taking the jobs as follows:

Take and complete the first job today. You will earn the reward of 3 after four days from today.

Take and complete the third job tomorrow. You will earn the reward of 2 after two days from tomorrow, that is, after three days from today.

Sample Input 2

5 3
1 2
1 3
1 4
2 1
2 3

Sample Output 2

10

Sample Input 3

1 1
2 1

Sample Output 3

0

Solution in PyPy3 (2.4.0) (judge verdict: Wrong Answer)

N, M = map(int, input().split())
AB = [(0, 0)]*N
for i in range(N):
    a, b = map(int, input().split())
    AB[i] = (a, b)

# print(N, M, AB)
AB.sort(key=lambda ab: ab[0], reverse=True)
AB.sort(key=lambda ab: ab[1], reverse=True)
# print(AB)

index = 0
ans = 0
for i in range(M):
    remain = M - i
    while True:
        # print(index)
        ab = AB[index]
        if ab[0] <= remain:
            index += 1
            ans += ab[1]
            break
        index += 1
        if index >= N:
            break
    if index >= N:
        break

print(ans)