Imagine Betsy's surprise as she rounded the barn and discovered
that Farmer John had built a secret greenhouse that was now brimming
with gorgeous flowers. Her mind ran wild as visions of a gorgeous
colorful garden swirled through her little bovine brain.
"I think I'll make a long row of F
(7 ≤ F
≤ 10,000) flowers against
the far fence," she thought. "I'll plant roses in every 3rd slot,
begonias in every 7th slot that is still open, and daisies in every
4th slot that is still open." Betsy wondered how many open slots
would remain. She realized that the number would depend on which
slot she started planting when she intended to fill every N
with a kind of flower.
Help Betsy know how many open slots will remain. Read a set of K
(1 ≤ K
≤ 100) planting descriptors, each of which tells a starting
(1 ≤ L
) -- L
= 1 is the first flower -- and an
(1 ≤ I
) for planting flowers. Deduce the number
of empty slots that remain after planting the entire set.
If Betsy followed through on her initial vision, she might specify
the planting as:
30 3 [30 slots total; 3 kinds of flowers]
1 3 [start at slot 1 and plant roses every 3rd slot]
3 7 [start at slot 3 and plant begonias every 7rd slot]
1 4 [start at slot 1 and plant daisies in every 4th slot]
Thus, the empty garden looks like this:
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Then, after the rose planting:
R . . R . . R . . R . . R . . R . . R . . R . . R . . R . .
Then, after the begonia planting:
R . B R . . R . . R . . R . . R B . R . . R . B R . . R . .
Then, after the daisy planting:
R . B R D . R . D R . . R . . R B . R . D R . B R . . R D .
13 empty slots remain after all the planting.
* Line 1: Two space-separated integers: F
* Lines 2..K
+ 1: Line j
contains two space-separated integers that
specify the planting of one kind of flower: Lj
* Line 1: A single line with a single integer that is the number of
empty flower slots that remain after the planting is complete