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<P align=center><FONT color=blue size=5>Problem G:Gone Fishing</FONT></P>
<P align=center>Time Limit:1000MS Memory Limit:65536K<BR>Total
Submit:75 Accepted:20 </P>
<P align=center>Language: not limited<BR>
<P align=left><B><FONT color=#333399 size=5>Description</FONT> </B>
<P><FONT face="Times New Roman" size=3>John is going on a fishing trip. He
has h hours available (1 <= h <= 16), and there are n lakes in the
area (2 <= n <= 25) all reachable along a single, one-way road. John
starts at lake 1, but he can finish at any lake he wants. He can only
travel from one lake to the next one, but he does not have to stop at any
lake unless he wishes to. For each i = 1,...,n - 1, the number of 5-minute
intervals it takes to travel from lake i to lake i + 1 is denoted ti (0
< ti <=192). For example, t3 = 4 means that it takes 20 minutes to
travel from lake 3 to lake 4. To help plan his fishing trip, John has
gathered some information about the lakes. For each lake i, the number of
fish expected to be caught in the initial 5 minutes, denoted fi( fi >=
0 ), is known. Each 5 minutes of fishing decreases the number of fish
expected to be caught in the next 5-minute interval by a constant rate of
di (di >= 0). If the number of fish expected to be caught in an
interval is less than or equal to di , there will be no more fish left in
the lake in the next interval. To simplify the planning, John assumes that
no one else will be fishing at the lakes to affect the number of fish he
expects to catch. <BR>Write a program to help John plan his fishing trip
to maximize the number of fish expected to be caught. The number of
minutes spent at each lake must be a multiple of 5. </FONT></P>
<P align=left><B><FONT color=#333399 size=5>Input</FONT> </B>
<P><FONT face="Times New Roman" size=3>You will be given a number of cases
in the input. Each case starts with a line containing n. This is followed
by a line containing h. Next, there is a line of n integers specifying fi
(1 <= i <=n), then a line of n integers di (1 <=i <=n), and
finally, a line of n - 1 integers ti (1 <=i <=n - 1). Input is
terminated by a case in which n = 0.</FONT></P>
<P align=left><B><FONT color=#333399 size=5>Output</FONT> </B>
<P><FONT face="Times New Roman" size=3>For each test case, print the
number of minutes spent at each lake, separated by commas, for the plan
achieving the maximum number of fish expected to be caught (you should
print the entire plan on one line even if it exceeds 80 characters). This
is followed by a line containing the number of fish expected. <BR>If
multiple plans exist, choose the one that spends as long as possible at
lake 1, even if no fish are expected to be caught in some intervals. If
there is still a tie, choose the one that spends as long as possible at
lake 2, and so on. <BR></FONT></P>
<P align=left><B><FONT color=#333399 size=5>Sample Input</FONT> </B>
<P><FONT face="Times New Roman" size=3><PRE>2
1
10 1
2 5
2
4
4
10 15 50 30
0 3 4 3
1 2 3
0</PRE></FONT>
<P></P>
<P align=left><B><FONT color=#333399 size=5>Sample Output</FONT> </B>
<P><FONT face="Times New Roman" size=3><PRE>45,5
Number of fish expected:31
115,10,50,35
Number of fish expected:724</PRE></FONT>
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