Valera has got a rectangle table consisting of *n* rows and *m* columns. Valera numbered the table rows starting from one, from top to bottom and the columns – starting from one, from left to right. We will represent cell that is on the intersection of row *x* and column *y* by a pair of integers (*x*, *y*).

Valera wants to place exactly *k* tubes on his rectangle table. A tube is such sequence of table cells (*x*<sub class="lower-index">1</sub>, *y*<sub class="lower-index">1</sub>), (*x*<sub class="lower-index">2</sub>, *y*<sub class="lower-index">2</sub>), ..., (*x*<sub class="lower-index">*r*</sub>, *y*<sub class="lower-index">*r*</sub>), that: 
 -  *r* ≥ 2; -  for any integer *i* (1 ≤ *i* ≤ *r* - 1) the following equation |*x*<sub class="lower-index">*i*</sub> - *x*<sub class="lower-index">*i* + 1</sub>| + |*y*<sub class="lower-index">*i*</sub> - *y*<sub class="lower-index">*i* + 1</sub>| = 1 holds; -  each table cell, which belongs to the tube, must occur exactly once in the sequence. 
Valera thinks that the tubes are arranged in a fancy manner if the following conditions are fulfilled: 
 -  no pair of tubes has common cells; -  each cell of the table belongs to some tube. 
Help Valera to arrange *k* tubes on his rectangle table in a fancy manner.
The first line contains three space-separated integers *n*, *m*, *k* (2 ≤ *n*, *m* ≤ 300; 2 ≤ 2*k* ≤ *n*·*m*) — the number of rows, the number of columns and the number of tubes, correspondingly.
n, m, k = [int(x) for x in input().split()]
tubes = n * m // k
remainder = n * m % k
x = 1
y = 1
flag = 0
flag2 = 0
flag3 = 0
for i in range(k):
    print(tubes+remainder, end=" ")
    for j in range(tubes+remainder):
        print(x, y, end=" ")
        if y == m and not flag3:
            flag = 1
            x += 1
            y += 1
            flag3 = 1
        elif y == 1 and flag2:
            flag = 0
            x += 1
            y -= 1
            flag2 = 0
        elif y == 1 and not flag2:
            flag2 = 1
        elif y == m and flag3:
            flag3 = 0

        # Changing the value of y depending on flag.

        if flag == 0:
            y += 1
        else:
            y -= 1

    # After loop is over.

    remainder = 0
    print()
