Codeforces Round #254 (Div. 2)D(预计)
1 second
256 megabytes
standard input
standard output
DZY loves Fast Fourier Transformation, and he enjoys using it.
Fast Fourier Transformation is an algorithm used to calculate convolution. Specifically, if a, b and c are
sequences with length n, which are indexed from 0 to n - 1,
and
We can calculate c fast using Fast Fourier Transformation.
DZY made a little change on this formula. Now
To make things easier, a is a permutation of integers from 1 to n,
and b is a sequence only containing 0 and 1.
Given a and b, DZY needs your help to calculate c.
Because he is naughty, DZY provides a special way to get a and b.
What you need is only three integers n, d, x.
After getting them, use the code below to generate a and b.
//x is 64-bit variable;
function getNextX() {
x = (x * 37 + 10007) % 1000000007;
return x;
}
function initAB() {
for(i = 0; i < n; i = i + 1){
a[i] = i + 1;
}
for(i = 0; i < n; i = i + 1){
swap(a[i], a[getNextX() % (i + 1)]);
}
for(i = 0; i < n; i = i + 1){
if (i < d)
b[i] = 1;
else
b[i] = 0;
}
for(i = 0; i < n; i = i + 1){
swap(b[i], b[getNextX() % (i + 1)]);
}
}
Operation x % y denotes remainder after division x by y.
Function swap(x, y) swaps two values x and y.
The only line of input contains three space-separated integers n, d, x (1 ≤ d ≤ n ≤ 100000; 0 ≤ x ≤ 1000000006).
Because DZY is naughty, x can't be equal to 27777500.
Output n lines, the i-th line should contain an integer ci - 1.
3 1 1
1
3
2
5 4 2
2
2
4
5
5
5 4 3
5
5
5
5
4
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