a hint for this

From: PeP (iosono_at_inwind.it)
Date: 08/23/04 

Date: Mon, 23 Aug 2004 16:04:17 GMT

hi
i need a procedure generating the following:

user gives two numbers n and m with m <= n and the procedure must generate
all possible strings (vectors) m-sized, of natural numbers (except zero),
with the
condition that the sum of all elements is always <= n
-------------------------------------------------------------------
example 1:
n = 5
m = 3

results:
(1,1,1) (1,1,2) (1,1,3)
(1,2,1) (1,2,2)
(1,3,1)

(2,1,1) (2,1,2)
(2,2,1)

(3,1,1)
-------------------------------------------------------------------
example 2:
n = 6
m = 3

results:
(1,1,1) (1,1,2) (1,1,3) (1,1,4)
(1,2,1) (1,2,2) (1,2,3)
(1,3,1) (1,3,2)
(1,4,1)

(2,1,1) (2,1,2) (2,1,3)
(2,2,1) (2,2,2)
(2,3,1)

(3,1,1) (3,1,2)
(3,2,1)

(4,1,1)
-------------------------------------------------------------------
example 3:
n = 4
m = 2

results:
(1,1) (1,2) (1,3)

(2,1) (2,2)

(3,1)
-------------------------------------------------------------------
example 4:
n = 6
m = 5

results:
(1,1,1,1,1) (1,1,1,1,2)
(1,1,1,2,1)
(1,1,2,1,1)
(1,2,1,1,1)
(2,1,1,1,1)
-------------------------------------------------------------------
any suggestions?
thank you

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