Problem Description
sd0061, the legend of Beihang University ACM-ICPC Team, retired last year leaving a group of noobs. Noobs have no idea how to deal with m coming contests. sd0061 has left a set of hints for them.
There are n noobs in the team, the i-th of which has a rating ai. sd0061 prepares one hint for each contest. The hint for the j-th contest is a number bj, which means that the noob with the (bj+1)-th lowest rating is ordained by sd0061 for the j-th contest.
The coach asks constroy to make a list of contestants. constroy looks into these hints and finds out: bi+bj≤bk is satisfied if bi≠bj, bi<bk and bj<bk.
Now, you are in charge of making the list for constroy.
Input
There are multiple test cases (about 10).
For each test case:
The first line contains five integers n,m,A,B,C. (1≤n≤107,1≤m≤100)
The second line contains m integers, the i-th of which is the number bi of the i-th hint. (0≤bi<n)
The n noobs' ratings are obtained by calling following function n times, the i-th result of which is ai.
unsigned x = A, y = B, z = C;
unsigned rng61() {
unsigned t;
x ^= x << 16;
x ^= x >> 5;
x ^= x << 1;
t = x;
x = y;
y = z;
z = t ^ x ^ y;
return z;
}
Output
For each test case, output "Case #x: y1 y2 ⋯ ym" in one line (without quotes), where x indicates the case number starting from 1 and yi (1≤i≤m) denotes the rating of noob for the i-th contest of corresponding case.
Sample Input
3 3 1 1 1
0 1 2
2 2 2 2 2
1 1
Sample Output
Case #1: 1 1 202755
Case #2: 405510 405510
