Problem:
Score : 300 points

Problem Statement

Given are positive integers N, M, Q, and Q quadruples of integers ( a_i , b_i , c_i , d_i ).

Consider a sequence A satisfying the following conditions:

A is a sequence of N positive integers.

1 \leq A_1 \leq A_2 \le \cdots \leq A_N \leq M.

Let us define a score of this sequence as follows:

The score is the sum of d_i over all indices i such that A_{b_i} - A_{a_i} = c_i. (If there is no such i, the score is 0.)

Find the maximum possible score of A.

Constraints

All values in input are integers.

2 ≤ N ≤ 10

1 \leq M \leq 10

1 \leq Q \leq 50

1 \leq a_i < b_i \leq N ( i = 1, 2, ..., Q )

0 \leq c_i \leq M - 1 ( i = 1, 2, ..., Q )

(a_i, b_i, c_i) \neq (a_j, b_j, c_j) (where i \neq j)

1 \leq d_i \leq 10^5 ( i = 1, 2, ..., Q )

Input

Input is given from Standard Input in the following format:

N M Q
a_1 b_1 c_1 d_1
:
a_Q b_Q c_Q d_Q

Output

Print the maximum possible score of A.

Sample Input 1

3 4 3
1 3 3 100
1 2 2 10
2 3 2 10

Sample Output 1

110

When A = \{1, 3, 4\}, its score is 110. Under these conditions, no sequence has a score greater than 110, so the answer is 110.

Sample Input 2

4 6 10
2 4 1 86568
1 4 0 90629
2 3 0 90310
3 4 1 29211
3 4 3 78537
3 4 2 8580
1 2 1 96263
1 4 2 2156
1 2 0 94325
1 4 3 94328

Sample Output 2

357500

Sample Input 3

10 10 1
1 10 9 1

Sample Output 3

1

Solution in Python (3.8.2) (judge verdict: Wrong Answer)

import numpy as np
import sys
import math
read = sys.stdin.readline

n , m , q = map(int,input().split())
X = []
[X.append(list(map(int,input().split()))) for _ in range(q)]
# X = sorted(X , key = lambda x:(x[3]) , reverse= True)


A2 = [[1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [1, 7], [1, 8], [1, 9], [1, 10], [2, 3], [2, 4], [2, 5], [2, 6], [2, 7], [2, 8], [2, 9], [2, 10], [3, 4], [3, 5], [3, 6], [3, 7], [3, 8], [3, 9], [3, 10], [4, 5], [4, 6], [4, 7], [4, 8], [4, 9], [4, 10], [5, 6], [5, 7], [5, 8], [5, 9], [5, 10], [6, 7], [6, 8], [6, 9], [6, 10], [7, 8], [7, 9], [7, 10], [8, 9], [8, 10], [9, 10]]
A3 = [[1, 2, 3], [1, 2, 4], [1, 2, 5], [1, 2, 6], [1, 2, 7], [1, 2, 8], [1, 2, 9], [1, 2, 10], [1, 3, 4], [1, 3, 5], [1, 3, 6], [1, 3, 7], [1, 3, 8], [1, 3, 9], [1, 3, 10], [1, 4, 5], [1, 4, 6], [1, 4, 7], [1, 4, 8], [1, 4, 9], [1, 4, 10], [1, 5, 6], [1, 5, 7], [1, 5, 8], [1, 5, 9], [1, 5, 10], [1, 6, 7], [1, 6, 8], [1, 6, 9], [1, 6, 10], [1, 7, 8], [1, 7, 9], [1, 7, 10], [1, 8, 9], [1, 8, 10], [1, 9, 10], [2, 3, 4], [2, 3, 5], [2, 3, 6], [2, 3, 7], [2, 3, 8], [2, 3, 9], [2, 3, 10], [2, 4, 5], [2, 4, 6], [2, 4, 7], [2, 4, 8], [2, 4, 9], [2, 4, 10], [2, 5, 6], [2, 5, 7], [2, 5, 8], [2, 5, 9], [2, 5, 10], [2, 6, 7], [2, 6, 8], [2, 6, 9], [2, 6, 10], [2, 7, 8], [2, 7, 9], [2, 7, 10], [2, 8, 9], [2, 8, 10], [2, 9, 10], [3, 4, 5], [3, 4, 6], [3, 4, 7], [3, 4, 8], [3, 4, 9], [3, 4, 10], [3, 5, 6], [3, 5, 7], [3, 5, 8], [3, 5, 9], [3, 5, 10], [3, 6, 7], [3, 6, 8], [3, 6, 9], [3, 6, 10], [3, 7, 8], [3, 7, 9], [3, 7, 10], [3, 8, 9], [3, 8, 10], [3, 9, 10], [4, 5, 6], [4, 5, 7], [4, 5, 8], [4, 5, 9], [4, 5, 10], [4, 6, 7], [4, 6, 8], [4, 6, 9], [4, 6, 10], [4, 7, 8], [4, 7, 9], [4, 7, 10], [4, 8, 9], [4, 8, 10], [4, 9, 10], [5, 6, 7], [5, 6, 8], [5, 6, 9], [5, 6, 10], [5, 7, 8], [5, 7, 9], [5, 7, 10], [5, 8, 9], [5, 8, 10], [5, 9, 10], [6, 7, 8], [6, 7, 9], [6, 7, 10], [6, 8, 9], [6, 8, 10], [6, 9, 10], [7, 8, 9], [7, 8, 10], [7, 9, 10], [8, 9, 10]]
A4 = [[1, 2, 3, 4], [1, 2, 3, 5], [1, 2, 3, 6], [1, 2, 3, 7], [1, 2, 3, 8], [1, 2, 3, 9], [1, 2, 3, 10], [1, 2, 4, 5], [1, 2, 4, 6], [1, 2, 4, 7], [1, 2, 4, 8], [1, 2, 4, 9], [1, 2, 4, 10], [1, 2, 5, 6], [1, 2, 5, 7], [1, 2, 5, 8], [1, 2, 5, 9], [1, 2, 5, 10], [1, 2, 6, 7], [1, 2, 6, 8], [1, 2, 6, 9], [1, 2, 6, 10], [1, 2, 7, 8], [1, 2, 7, 9], [1, 2, 7, 10], [1, 2, 8, 9], [1, 2, 8, 10], [1, 2, 9, 10], [1, 3, 4, 5], [1, 3, 4, 6], [1, 3, 4, 7], [1, 3, 4, 8], [1, 3, 4, 9], [1, 3, 4, 10], [1, 3, 5, 6], [1, 3, 5, 7], [1, 3, 5, 8], [1, 3, 5, 9], [1, 3, 5, 10], [1, 3, 6, 7], [1, 3, 6, 8], [1, 3, 6, 9], [1, 3, 6, 10], [1, 3, 7, 8], [1, 3, 7, 9], [1, 3, 7, 10], [1, 3, 8, 9], [1, 3, 8, 10], [1, 3, 9, 10], [1, 4, 5, 6], [1, 4, 5, 7], [1, 4, 5, 8], [1, 4, 5, 9], [1, 4, 5, 10], [1, 4, 6, 7], [1, 4, 6, 8], [1, 4, 6, 9], [1, 4, 6, 10], [1, 4, 7, 8], [1, 4, 7, 9], [1, 4, 7, 10], [1, 4, 8, 9], [1, 4, 8, 10], [1, 4, 9, 10], [1, 5, 6, 7], [1, 5, 6, 8], [1, 5, 6, 9], [1, 5, 6, 10], [1, 5, 7, 8], [1, 5, 7, 9], [1, 5, 7, 10], [1, 5, 8, 9], [1, 5, 8, 10], [1, 5, 9, 10], [1, 6, 7, 8], [1, 6, 7, 9], [1, 6, 7, 10], [1, 6, 8, 9], [1, 6, 8, 10], [1, 6, 9, 10], [1, 7, 8, 9], [1, 7, 8, 10], [1, 7, 9, 10], [1, 8, 9, 10], [2, 3, 4, 5], [2, 3, 4, 6], [2, 3, 4, 7], [2, 3, 4, 8], [2, 3, 4, 9], [2, 3, 4, 10], [2, 3, 5, 6], [2, 3, 5, 7], [2, 3, 5, 8], [2, 3, 5, 9], [2, 3, 5, 10], [2, 3, 6, 7], [2, 3, 6, 8], [2, 3, 6, 9], [2, 3, 6, 10], [2, 3, 7, 8], [2, 3, 7, 9], [2, 3, 7, 10], [2, 3, 8, 9], [2, 3, 8, 10], [2, 3, 9, 10], [2, 4, 5, 6], [2, 4, 5, 7], [2, 4, 5, 8], [2, 4, 5, 9], [2, 4, 5, 10], [2, 4, 6, 7], [2, 4, 6, 8], [2, 4, 6, 9], [2, 4, 6, 10], [2, 4, 7, 8], [2, 4, 7, 9], [2, 4, 7, 10], [2, 4, 8, 9], [2, 4, 8, 10], [2, 4, 9, 10], [2, 5, 6, 7], [2, 5, 6, 8], [2, 5, 6, 9], [2, 5, 6, 10], [2, 5, 7, 8], [2, 5, 7, 9], [2, 5, 7, 10], [2, 5, 8, 9], [2, 5, 8, 10], [2, 5, 9, 10], [2, 6, 7, 8], [2, 6, 7, 9], [2, 6, 7, 10], [2, 6, 8, 9], [2, 6, 8, 10], [2, 6, 9, 10], [2, 7, 8, 9], [2, 7, 8, 10], [2, 7, 9, 10], [2, 8, 9, 10], [3, 4, 5, 6], [3, 4, 5, 7], [3, 4, 5, 8], [3, 4, 5, 9], [3, 4, 5, 10], [3, 4, 6, 7], [3, 4, 6, 8], [3, 4, 6, 9], [3, 4, 6, 10], [3, 4, 7, 8], [3, 4, 7, 9], [3, 4, 7, 10], [3, 4, 8, 9], [3, 4, 8, 10], [3, 4, 9, 10], [3, 5, 6, 7], [3, 5, 6, 8], [3, 5, 6, 9], [3, 5, 6, 10], [3, 5, 7, 8], [3, 5, 7, 9], [3, 5, 7, 10], [3, 5, 8, 9], [3, 5, 8, 10], [3, 5, 9, 10], [3, 6, 7, 8], [3, 6, 7, 9], [3, 6, 7, 10], [3, 6, 8, 9], [3, 6, 8, 10], [3, 6, 9, 10], [3, 7, 8, 9], [3, 7, 8, 10], [3, 7, 9, 10], [3, 8, 9, 10], [4, 5, 6, 7], [4, 5, 6, 8], [4, 5, 6, 9], [4, 5, 6, 10], [4, 5, 7, 8], [4, 5, 7, 9], [4, 5, 7, 10], [4, 5, 8, 9], [4, 5, 8, 10], [4, 5, 9, 10], [4, 6, 7, 8], [4, 6, 7, 9], [4, 6, 7, 10], [4, 6, 8, 9], [4, 6, 8, 10], [4, 6, 9, 10], [4, 7, 8, 9], [4, 7, 8, 10], [4, 7, 9, 10], [4, 8, 9, 10], [5, 6, 7, 8], [5, 6, 7, 9], [5, 6, 7, 10], [5, 6, 8, 9], [5, 6, 8, 10], [5, 6, 9, 10], [5, 7, 8, 9], [5, 7, 8, 10], [5, 7, 9, 10], [5, 8, 9, 10], [6, 7, 8, 9], [6, 7, 8, 10], [6, 7, 9, 10], [6, 8, 9, 10], [7, 8, 9, 10]]
A5 = [[1, 2, 3, 4, 5], [1, 2, 3, 4, 6], [1, 2, 3, 4, 7], [1, 2, 3, 4, 8], [1, 2, 3, 4, 9], [1, 2, 3, 4, 10], [1, 2, 3, 5, 6], [1, 2, 3, 5, 7], [1, 2, 3, 5, 8], [1, 2, 3, 5, 9], [1, 2, 3, 5, 10], [1, 2, 3, 6, 7], [1, 2, 3, 6, 8], [1, 2, 3, 6, 9], [1, 2, 3, 6, 10], [1, 2, 3, 7, 8], [1, 2, 3, 7, 9], [1, 2, 3, 7, 10], [1, 2, 3, 8, 9], [1, 2, 3, 8, 10], [1, 2, 3, 9, 10], [1, 2, 4, 5, 6], [1, 2, 4, 5, 7], [1, 2, 4, 5, 8], [1, 2, 4, 5, 9], [1, 2, 4, 5, 10], [1, 2, 4, 6, 7], [1, 2, 4, 6, 8], [1, 2, 4, 6, 9], [1, 2, 4, 6, 10], [1, 2, 4, 7, 8], [1, 2, 4, 7, 9], [1, 2, 4, 7, 10], [1, 2, 4, 8, 9], [1, 2, 4, 8, 10], [1, 2, 4, 9, 10], [1, 2, 5, 6, 7], [1, 2, 5, 6, 8], [1, 2, 5, 6, 9], [1, 2, 5, 6, 10], [1, 2, 5, 7, 8], [1, 2, 5, 7, 9], [1, 2, 5, 7, 10], [1, 2, 5, 8, 9], [1, 2, 5, 8, 10], [1, 2, 5, 9, 10], [1, 2, 6, 7, 8], [1, 2, 6, 7, 9], [1, 2, 6, 7, 10], [1, 2, 6, 8, 9], [1, 2, 6, 8, 10], [1, 2, 6, 9, 10], [1, 2, 7, 8, 9], [1, 2, 7, 8, 10], [1, 2, 7, 9, 10], [1, 2, 8, 9, 10], [1, 3, 4, 5, 6], [1, 3, 4, 5, 7], [1, 3, 4, 5, 8], [1, 3, 4, 5, 9], [1, 3, 4, 5, 10], [1, 3, 4, 6, 7], [1, 3, 4, 6, 8], [1, 3, 4, 6, 9], [1, 3, 4, 6, 10], [1, 3, 4, 7, 8], [1, 3, 4, 7, 9], [1, 3, 4, 7, 10], [1, 3, 4, 8, 9], [1, 3, 4, 8, 10], [1, 3, 4, 9, 10], [1, 3, 5, 6, 7], [1, 3, 5, 6, 8], [1, 3, 5, 6, 9], [1, 3, 5, 6, 10], [1, 3, 5, 7, 8], [1, 3, 5, 7, 9], [1, 3, 5, 7, 10], [1, 3, 5, 8, 9], [1, 3, 5, 8, 10], [1, 3, 5, 9, 10], [1, 3, 6, 7, 8], [1, 3, 6, 7, 9], [1, 3, 6, 7, 10], [1, 3, 6, 8, 9], [1, 3, 6, 8, 10], [1, 3, 6, 9, 10], [1, 3, 7, 8, 9], [1, 3, 7, 8, 10], [1, 3, 7, 9, 10], [1, 3, 8, 9, 10], [1, 4, 5, 6, 7], [1, 4, 5, 6, 8], [1, 4, 5, 6, 9], [1, 4, 5, 6, 10], [1, 4, 5, 7, 8], [1, 4, 5, 7, 9], [1, 4, 5, 7, 10], [1, 4, 5, 8, 9], [1, 4, 5, 8, 10], [1, 4, 5, 9, 10], [1, 4, 6, 7, 8], [1, 4, 6, 7, 9], [1, 4, 6, 7, 10], [1, 4, 6, 8, 9], [1, 4, 6, 8, 10], [1, 4, 6, 9, 10], [1, 4, 7, 8, 9], [1, 4, 7, 8, 10], [1, 4, 7, 9, 10], [1, 4, 8, 9, 10], [1, 5, 6, 7, 8], [1, 5, 6, 7, 9], [1, 5, 6, 7, 10], [1, 5, 6, 8, 9], [1, 5, 6, 8, 10], [1, 5, 6, 9, 10], [1, 5, 7, 8, 9], [1, 5, 7, 8, 10], [1, 5, 7, 9, 10], [1, 5, 8, 9, 10], [1, 6, 7, 8, 9], [1, 6, 7, 8, 10], [1, 6, 7, 9, 10], [1, 6, 8, 9, 10], [1, 7, 8, 9, 10], [2, 3, 4, 5, 6], [2, 3, 4, 5, 7], [2, 3, 4, 5, 8], [2, 3, 4, 5, 9], [2, 3, 4, 5, 10], [2, 3, 4, 6, 7], [2, 3, 4, 6, 8], [2, 3, 4, 6, 9], [2, 3, 4, 6, 10], [2, 3, 4, 7, 8], [2, 3, 4, 7, 9], [2, 3, 4, 7, 10], [2, 3, 4, 8, 9], [2, 3, 4, 8, 10], [2, 3, 4, 9, 10], [2, 3, 5, 6, 7], [2, 3, 5, 6, 8], [2, 3, 5, 6, 9], [2, 3, 5, 6, 10], [2, 3, 5, 7, 8], [2, 3, 5, 7, 9], [2, 3, 5, 7, 10], [2, 3, 5, 8, 9], [2, 3, 5, 8, 10], [2, 3, 5, 9, 10], [2, 3, 6, 7, 8], [2, 3, 6, 7, 9], [2, 3, 6, 7, 10], [2, 3, 6, 8, 9], [2, 3, 6, 8, 10], [2, 3, 6, 9, 10], [2, 3, 7, 8, 9], [2, 3, 7, 8, 10], [2, 3, 7, 9, 10], [2, 3, 8, 9, 10], [2, 4, 5, 6, 7], [2, 4, 5, 6, 8], [2, 4, 5, 6, 9], [2, 4, 5, 6, 10], [2, 4, 5, 7, 8], [2, 4, 5, 7, 9], [2, 4, 5, 7, 10], [2, 4, 5, 8, 9], [2, 4, 5, 8, 10], [2, 4, 5, 9, 10], [2, 4, 6, 7, 8], [2, 4, 6, 7, 9], [2, 4, 6, 7, 10], [2, 4, 6, 8, 9], [2, 4, 6, 8, 10], [2, 4, 6, 9, 10], [2, 4, 7, 8, 9], [2, 4, 7, 8, 10], [2, 4, 7, 9, 10], [2, 4, 8, 9, 10], [2, 5, 6, 7, 8], [2, 5, 6, 7, 9], [2, 5, 6, 7, 10], [2, 5, 6, 8, 9], [2, 5, 6, 8, 10], [2, 5, 6, 9, 10], [2, 5, 7, 8, 9], [2, 5, 7, 8, 10], [2, 5, 7, 9, 10], [2, 5, 8, 9, 10], [2, 6, 7, 8, 9], [2, 6, 7, 8, 10], [2, 6, 7, 9, 10], [2, 6, 8, 9, 10], [2, 7, 8, 9, 10], [3, 4, 5, 6, 7], [3, 4, 5, 6, 8], [3, 4, 5, 6, 9], [3, 4, 5, 6, 10], [3, 4, 5, 7, 8], [3, 4, 5, 7, 9], [3, 4, 5, 7, 10], [3, 4, 5, 8, 9], [3, 4, 5, 8, 10], [3, 4, 5, 9, 10], [3, 4, 6, 7, 8], [3, 4, 6, 7, 9], [3, 4, 6, 7, 10], [3, 4, 6, 8, 9], [3, 4, 6, 8, 10], [3, 4, 6, 9, 10], [3, 4, 7, 8, 9], [3, 4, 7, 8, 10], [3, 4, 7, 9, 10], [3, 4, 8, 9, 10], [3, 5, 6, 7, 8], [3, 5, 6, 7, 9], [3, 5, 6, 7, 10], [3, 5, 6, 8, 9], [3, 5, 6, 8, 10], [3, 5, 6, 9, 10], [3, 5, 7, 8, 9], [3, 5, 7, 8, 10], [3, 5, 7, 9, 10], [3, 5, 8, 9, 10], [3, 6, 7, 8, 9], [3, 6, 7, 8, 10], [3, 6, 7, 9, 10], [3, 6, 8, 9, 10], [3, 7, 8, 9, 10], [4, 5, 6, 7, 8], [4, 5, 6, 7, 9], [4, 5, 6, 7, 10], [4, 5, 6, 8, 9], [4, 5, 6, 8, 10], [4, 5, 6, 9, 10], [4, 5, 7, 8, 9], [4, 5, 7, 8, 10], [4, 5, 7, 9, 10], [4, 5, 8, 9, 10], [4, 6, 7, 8, 9], [4, 6, 7, 8, 10], [4, 6, 7, 9, 10], [4, 6, 8, 9, 10], [4, 7, 8, 9, 10], [5, 6, 7, 8, 9], [5, 6, 7, 8, 10], [5, 6, 7, 9, 10], [5, 6, 8, 9, 10], [5, 7, 8, 9, 10], [6, 7, 8, 9, 10]]
A6 = [[1, 2, 3, 4, 5, 6], [1, 2, 3, 4, 5, 7], [1, 2, 3, 4, 5, 8], [1, 2, 3, 4, 5, 9], [1, 2, 3, 4, 5, 10], [1, 2, 3, 4, 6, 7], [1, 2, 3, 4, 6, 8], [1, 2, 3, 4, 6, 9], [1, 2, 3, 4, 6, 10], [1, 2, 3, 4, 7, 8], [1, 2, 3, 4, 7, 9], [1, 2, 3, 4, 7, 10], [1, 2, 3, 4, 8, 9], [1, 2, 3, 4, 8, 10], [1, 2, 3, 4, 9, 10], [1, 2, 3, 5, 6, 7], [1, 2, 3, 5, 6, 8], [1, 2, 3, 5, 6, 9], [1, 2, 3, 5, 6, 10], [1, 2, 3, 5, 7, 8], [1, 2, 3, 5, 7, 9], [1, 2, 3, 5, 7, 10], [1, 2, 3, 5, 8, 9], [1, 2, 3, 5, 8, 10], [1, 2, 3, 5, 9, 10], [1, 2, 3, 6, 7, 8], [1, 2, 3, 6, 7, 9], [1, 2, 3, 6, 7, 10], [1, 2, 3, 6, 8, 9], [1, 2, 3, 6, 8, 10], [1, 2, 3, 6, 9, 10], [1, 2, 3, 7, 8, 9], [1, 2, 3, 7, 8, 10], [1, 2, 3, 7, 9, 10], [1, 2, 3, 8, 9, 10], [1, 2, 4, 5, 6, 7], [1, 2, 4, 5, 6, 8], [1, 2, 4, 5, 6, 9], [1, 2, 4, 5, 6, 10], [1, 2, 4, 5, 7, 8], [1, 2, 4, 5, 7, 9], [1, 2, 4, 5, 7, 10], [1, 2, 4, 5, 8, 9], [1, 2, 4, 5, 8, 10], [1, 2, 4, 5, 9, 10], [1, 2, 4, 6, 7, 8], [1, 2, 4, 6, 7, 9], [1, 2, 4, 6, 7, 10], [1, 2, 4, 6, 8, 9], [1, 2, 4, 6, 8, 10], [1, 2, 4, 6, 9, 10], [1, 2, 4, 7, 8, 9], [1, 2, 4, 7, 8, 10], [1, 2, 4, 7, 9, 10], [1, 2, 4, 8, 9, 10], [1, 2, 5, 6, 7, 8], [1, 2, 5, 6, 7, 9], [1, 2, 5, 6, 7, 10], [1, 2, 5, 6, 8, 9], [1, 2, 5, 6, 8, 10], [1, 2, 5, 6, 9, 10], [1, 2, 5, 7, 8, 9], [1, 2, 5, 7, 8, 10], [1, 2, 5, 7, 9, 10], [1, 2, 5, 8, 9, 10], [1, 2, 6, 7, 8, 9], [1, 2, 6, 7, 8, 10], [1, 2, 6, 7, 9, 10], [1, 2, 6, 8, 9, 10], [1, 2, 7, 8, 9, 10], [1, 3, 4, 5, 6, 7], [1, 3, 4, 5, 6, 8], [1, 3, 4, 5, 6, 9], [1, 3, 4, 5, 6, 10], [1, 3, 4, 5, 7, 8], [1, 3, 4, 5, 7, 9], [1, 3, 4, 5, 7, 10], [1, 3, 4, 5, 8, 9], [1, 3, 4, 5, 8, 10], [1, 3, 4, 5, 9, 10], [1, 3, 4, 6, 7, 8], [1, 3, 4, 6, 7, 9], [1, 3, 4, 6, 7, 10], [1, 3, 4, 6, 8, 9], [1, 3, 4, 6, 8, 10], [1, 3, 4, 6, 9, 10], [1, 3, 4, 7, 8, 9], [1, 3, 4, 7, 8, 10], [1, 3, 4, 7, 9, 10], [1, 3, 4, 8, 9, 10], [1, 3, 5, 6, 7, 8], [1, 3, 5, 6, 7, 9], [1, 3, 5, 6, 7, 10], [1, 3, 5, 6, 8, 9], [1, 3, 5, 6, 8, 10], [1, 3, 5, 6, 9, 10], [1, 3, 5, 7, 8, 9], [1, 3, 5, 7, 8, 10], [1, 3, 5, 7, 9, 10], [1, 3, 5, 8, 9, 10], [1, 3, 6, 7, 8, 9], [1, 3, 6, 7, 8, 10], [1, 3, 6, 7, 9, 10], [1, 3, 6, 8, 9, 10], [1, 3, 7, 8, 9, 10], [1, 4, 5, 6, 7, 8], [1, 4, 5, 6, 7, 9], [1, 4, 5, 6, 7, 10], [1, 4, 5, 6, 8, 9], [1, 4, 5, 6, 8, 10], [1, 4, 5, 6, 9, 10], [1, 4, 5, 7, 8, 9], [1, 4, 5, 7, 8, 10], [1, 4, 5, 7, 9, 10], [1, 4, 5, 8, 9, 10], [1, 4, 6, 7, 8, 9], [1, 4, 6, 7, 8, 10], [1, 4, 6, 7, 9, 10], [1, 4, 6, 8, 9, 10], [1, 4, 7, 8, 9, 10], [1, 5, 6, 7, 8, 9], [1, 5, 6, 7, 8, 10], [1, 5, 6, 7, 9, 10], [1, 5, 6, 8, 9, 10], [1, 5, 7, 8, 9, 10], [1, 6, 7, 8, 9, 10], [2, 3, 4, 5, 6, 7], [2, 3, 4, 5, 6, 8], [2, 3, 4, 5, 6, 9], [2, 3, 4, 5, 6, 10], [2, 3, 4, 5, 7, 8], [2, 3, 4, 5, 7, 9], [2, 3, 4, 5, 7, 10], [2, 3, 4, 5, 8, 9], [2, 3, 4, 5, 8, 10], [2, 3, 4, 5, 9, 10], [2, 3, 4, 6, 7, 8], [2, 3, 4, 6, 7, 9], [2, 3, 4, 6, 7, 10], [2, 3, 4, 6, 8, 9], [2, 3, 4, 6, 8, 10], [2, 3, 4, 6, 9, 10], [2, 3, 4, 7, 8, 9], [2, 3, 4, 7, 8, 10], [2, 3, 4, 7, 9, 10], [2, 3, 4, 8, 9, 10], [2, 3, 5, 6, 7, 8], [2, 3, 5, 6, 7, 9], [2, 3, 5, 6, 7, 10], [2, 3, 5, 6, 8, 9], [2, 3, 5, 6, 8, 10], [2, 3, 5, 6, 9, 10], [2, 3, 5, 7, 8, 9], [2, 3, 5, 7, 8, 10], [2, 3, 5, 7, 9, 10], [2, 3, 5, 8, 9, 10], [2, 3, 6, 7, 8, 9], [2, 3, 6, 7, 8, 10], [2, 3, 6, 7, 9, 10], [2, 3, 6, 8, 9, 10], [2, 3, 7, 8, 9, 10], [2, 4, 5, 6, 7, 8], [2, 4, 5, 6, 7, 9], [2, 4, 5, 6, 7, 10], [2, 4, 5, 6, 8, 9], [2, 4, 5, 6, 8, 10], [2, 4, 5, 6, 9, 10], [2, 4, 5, 7, 8, 9], [2, 4, 5, 7, 8, 10], [2, 4, 5, 7, 9, 10], [2, 4, 5, 8, 9, 10], [2, 4, 6, 7, 8, 9], [2, 4, 6, 7, 8, 10], [2, 4, 6, 7, 9, 10], [2, 4, 6, 8, 9, 10], [2, 4, 7, 8, 9, 10], [2, 5, 6, 7, 8, 9], [2, 5, 6, 7, 8, 10], [2, 5, 6, 7, 9, 10], [2, 5, 6, 8, 9, 10], [2, 5, 7, 8, 9, 10], [2, 6, 7, 8, 9, 10], [3, 4, 5, 6, 7, 8], [3, 4, 5, 6, 7, 9], [3, 4, 5, 6, 7, 10], [3, 4, 5, 6, 8, 9], [3, 4, 5, 6, 8, 10], [3, 4, 5, 6, 9, 10], [3, 4, 5, 7, 8, 9], [3, 4, 5, 7, 8, 10], [3, 4, 5, 7, 9, 10], [3, 4, 5, 8, 9, 10], [3, 4, 6, 7, 8, 9], [3, 4, 6, 7, 8, 10], [3, 4, 6, 7, 9, 10], [3, 4, 6, 8, 9, 10], [3, 4, 7, 8, 9, 10], [3, 5, 6, 7, 8, 9], [3, 5, 6, 7, 8, 10], [3, 5, 6, 7, 9, 10], [3, 5, 6, 8, 9, 10], [3, 5, 7, 8, 9, 10], [3, 6, 7, 8, 9, 10], [4, 5, 6, 7, 8, 9], [4, 5, 6, 7, 8, 10], [4, 5, 6, 7, 9, 10], [4, 5, 6, 8, 9, 10], [4, 5, 7, 8, 9, 10], [4, 6, 7, 8, 9, 10], [5, 6, 7, 8, 9, 10]]
A7 = [[1, 2, 3, 4, 5, 6, 7], [1, 2, 3, 4, 5, 6, 8], [1, 2, 3, 4, 5, 6, 9], [1, 2, 3, 4, 5, 6, 10], [1, 2, 3, 4, 5, 7, 8], [1, 2, 3, 4, 5, 7, 9], [1, 2, 3, 4, 5, 7, 10], [1, 2, 3, 4, 5, 8, 9], [1, 2, 3, 4, 5, 8, 10], [1, 2, 3, 4, 5, 9, 10], [1, 2, 3, 4, 6, 7, 8], [1, 2, 3, 4, 6, 7, 9], [1, 2, 3, 4, 6, 7, 10], [1, 2, 3, 4, 6, 8, 9], [1, 2, 3, 4, 6, 8, 10], [1, 2, 3, 4, 6, 9, 10], [1, 2, 3, 4, 7, 8, 9], [1, 2, 3, 4, 7, 8, 10], [1, 2, 3, 4, 7, 9, 10], [1, 2, 3, 4, 8, 9, 10], [1, 2, 3, 5, 6, 7, 8], [1, 2, 3, 5, 6, 7, 9], [1, 2, 3, 5, 6, 7, 10], [1, 2, 3, 5, 6, 8, 9], [1, 2, 3, 5, 6, 8, 10], [1, 2, 3, 5, 6, 9, 10], [1, 2, 3, 5, 7, 8, 9], [1, 2, 3, 5, 7, 8, 10], [1, 2, 3, 5, 7, 9, 10], [1, 2, 3, 5, 8, 9, 10], [1, 2, 3, 6, 7, 8, 9], [1, 2, 3, 6, 7, 8, 10], [1, 2, 3, 6, 7, 9, 10], [1, 2, 3, 6, 8, 9, 10], [1, 2, 3, 7, 8, 9, 10], [1, 2, 4, 5, 6, 7, 8], [1, 2, 4, 5, 6, 7, 9], [1, 2, 4, 5, 6, 7, 10], [1, 2, 4, 5, 6, 8, 9], [1, 2, 4, 5, 6, 8, 10], [1, 2, 4, 5, 6, 9, 10], [1, 2, 4, 5, 7, 8, 9], [1, 2, 4, 5, 7, 8, 10], [1, 2, 4, 5, 7, 9, 10], [1, 2, 4, 5, 8, 9, 10], [1, 2, 4, 6, 7, 8, 9], [1, 2, 4, 6, 7, 8, 10], [1, 2, 4, 6, 7, 9, 10], [1, 2, 4, 6, 8, 9, 10], [1, 2, 4, 7, 8, 9, 10], [1, 2, 5, 6, 7, 8, 9], [1, 2, 5, 6, 7, 8, 10], [1, 2, 5, 6, 7, 9, 10], [1, 2, 5, 6, 8, 9, 10], [1, 2, 5, 7, 8, 9, 10], [1, 2, 6, 7, 8, 9, 10], [1, 3, 4, 5, 6, 7, 8], [1, 3, 4, 5, 6, 7, 9], [1, 3, 4, 5, 6, 7, 10], [1, 3, 4, 5, 6, 8, 9], [1, 3, 4, 5, 6, 8, 10], [1, 3, 4, 5, 6, 9, 10], [1, 3, 4, 5, 7, 8, 9], [1, 3, 4, 5, 7, 8, 10], [1, 3, 4, 5, 7, 9, 10], [1, 3, 4, 5, 8, 9, 10], [1, 3, 4, 6, 7, 8, 9], [1, 3, 4, 6, 7, 8, 10], [1, 3, 4, 6, 7, 9, 10], [1, 3, 4, 6, 8, 9, 10], [1, 3, 4, 7, 8, 9, 10], [1, 3, 5, 6, 7, 8, 9], [1, 3, 5, 6, 7, 8, 10], [1, 3, 5, 6, 7, 9, 10], [1, 3, 5, 6, 8, 9, 10], [1, 3, 5, 7, 8, 9, 10], [1, 3, 6, 7, 8, 9, 10], [1, 4, 5, 6, 7, 8, 9], [1, 4, 5, 6, 7, 8, 10], [1, 4, 5, 6, 7, 9, 10], [1, 4, 5, 6, 8, 9, 10], [1, 4, 5, 7, 8, 9, 10], [1, 4, 6, 7, 8, 9, 10], [1, 5, 6, 7, 8, 9, 10], [2, 3, 4, 5, 6, 7, 8], [2, 3, 4, 5, 6, 7, 9], [2, 3, 4, 5, 6, 7, 10], [2, 3, 4, 5, 6, 8, 9], [2, 3, 4, 5, 6, 8, 10], [2, 3, 4, 5, 6, 9, 10], [2, 3, 4, 5, 7, 8, 9], [2, 3, 4, 5, 7, 8, 10], [2, 3, 4, 5, 7, 9, 10], [2, 3, 4, 5, 8, 9, 10], [2, 3, 4, 6, 7, 8, 9], [2, 3, 4, 6, 7, 8, 10], [2, 3, 4, 6, 7, 9, 10], [2, 3, 4, 6, 8, 9, 10], [2, 3, 4, 7, 8, 9, 10], [2, 3, 5, 6, 7, 8, 9], [2, 3, 5, 6, 7, 8, 10], [2, 3, 5, 6, 7, 9, 10], [2, 3, 5, 6, 8, 9, 10], [2, 3, 5, 7, 8, 9, 10], [2, 3, 6, 7, 8, 9, 10], [2, 4, 5, 6, 7, 8, 9], [2, 4, 5, 6, 7, 8, 10], [2, 4, 5, 6, 7, 9, 10], [2, 4, 5, 6, 8, 9, 10], [2, 4, 5, 7, 8, 9, 10], [2, 4, 6, 7, 8, 9, 10], [2, 5, 6, 7, 8, 9, 10], [3, 4, 5, 6, 7, 8, 9], [3, 4, 5, 6, 7, 8, 10], [3, 4, 5, 6, 7, 9, 10], [3, 4, 5, 6, 8, 9, 10], [3, 4, 5, 7, 8, 9, 10], [3, 4, 6, 7, 8, 9, 10], [3, 5, 6, 7, 8, 9, 10], [4, 5, 6, 7, 8, 9, 10]]
A8 = [[1, 2, 3, 4, 5, 6, 7, 8], [1, 2, 3, 4, 5, 6, 7, 9], [1, 2, 3, 4, 5, 6, 7, 10], [1, 2, 3, 4, 5, 6, 8, 9], [1, 2, 3, 4, 5, 6, 8, 10], [1, 2, 3, 4, 5, 6, 9, 10], [1, 2, 3, 4, 5, 7, 8, 9], [1, 2, 3, 4, 5, 7, 8, 10], [1, 2, 3, 4, 5, 7, 9, 10], [1, 2, 3, 4, 5, 8, 9, 10], [1, 2, 3, 4, 6, 7, 8, 9], [1, 2, 3, 4, 6, 7, 8, 10], [1, 2, 3, 4, 6, 7, 9, 10], [1, 2, 3, 4, 6, 8, 9, 10], [1, 2, 3, 4, 7, 8, 9, 10], [1, 2, 3, 5, 6, 7, 8, 9], [1, 2, 3, 5, 6, 7, 8, 10], [1, 2, 3, 5, 6, 7, 9, 10], [1, 2, 3, 5, 6, 8, 9, 10], [1, 2, 3, 5, 7, 8, 9, 10], [1, 2, 3, 6, 7, 8, 9, 10], [1, 2, 4, 5, 6, 7, 8, 9], [1, 2, 4, 5, 6, 7, 8, 10], [1, 2, 4, 5, 6, 7, 9, 10], [1, 2, 4, 5, 6, 8, 9, 10], [1, 2, 4, 5, 7, 8, 9, 10], [1, 2, 4, 6, 7, 8, 9, 10], [1, 2, 5, 6, 7, 8, 9, 10], [1, 3, 4, 5, 6, 7, 8, 9], [1, 3, 4, 5, 6, 7, 8, 10], [1, 3, 4, 5, 6, 7, 9, 10], [1, 3, 4, 5, 6, 8, 9, 10], [1, 3, 4, 5, 7, 8, 9, 10], [1, 3, 4, 6, 7, 8, 9, 10], [1, 3, 5, 6, 7, 8, 9, 10], [1, 4, 5, 6, 7, 8, 9, 10], [2, 3, 4, 5, 6, 7, 8, 9], [2, 3, 4, 5, 6, 7, 8, 10], [2, 3, 4, 5, 6, 7, 9, 10], [2, 3, 4, 5, 6, 8, 9, 10], [2, 3, 4, 5, 7, 8, 9, 10], [2, 3, 4, 6, 7, 8, 9, 10], [2, 3, 5, 6, 7, 8, 9, 10], [2, 4, 5, 6, 7, 8, 9, 10], [3, 4, 5, 6, 7, 8, 9, 10]]
A9 = [[1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 2, 3, 4, 5, 6, 7, 8, 10], [1, 2, 3, 4, 5, 6, 7, 9, 10], [1, 2, 3, 4, 5, 6, 8, 9, 10], [1, 2, 3, 4, 5, 7, 8, 9, 10], [1, 2, 3, 4, 6, 7, 8, 9, 10], [1, 2, 3, 5, 6, 7, 8, 9, 10], [1, 2, 4, 5, 6, 7, 8, 9, 10], [1, 3, 4, 5, 6, 7, 8, 9, 10], [2, 3, 4, 5, 6, 7, 8, 9, 10]]
A10 = [[1,2,3,4,5,6,7,8,9,10]]
A = [A2,A3,A4,A5,A6,A7,A8,A9,A10]

total = 0
for a in A[n-2]:
    for test in a :
        if test > m :
            continue
    
    tmp = 0
    for i in range(q):
        if a[X[i][1]-1] - a[X[i][0]-1] == X[i][2]:
            tmp += X[i][3]
    total = max(tmp , total)

print(total)