Problem:
Score : 700 points

Problem Statement

There is a circle with a circumference of L.
Each point on the circumference has a coordinate value, which represents the arc length from a certain reference point clockwise to the point.
On this circumference, there are N ants.
These ants are numbered 1 through N in order of increasing coordinate, and ant i is at coordinate X_i.

The N ants have just started walking.
For each ant i, you are given the initial direction W_i. Ant i is initially walking clockwise if W_i is 1; counterclockwise if W_i is 2.
Every ant walks at a constant speed of 1 per second.
Sometimes, two ants bump into each other.
Each of these two ants will then turn around and start walking in the opposite direction.

For each ant, find its position after T seconds.

Constraints

All input values are integers.

1 \leq N \leq 10^5

1 \leq L \leq 10^9

1 \leq T \leq 10^9

0 \leq X_1 < X_2 < ... < X_N \leq L - 1

1 \leq W_i \leq 2

Input

The input is given from Standard Input in the following format:

N L T
X_1 W_1
X_2 W_2
:
X_N W_N

Output

Print N lines.
The i-th line should contain the coordinate of ant i after T seconds. Here, each coordinate must be between 0 and L-1, inclusive.

Sample Input 1

3 8 3
0 1
3 2
6 1

Sample Output 1

1
3
0

1.5 seconds after the ants start walking, ant 1 and 2 bump into each other at coordinate 1.5.
1 second after that, ant 1 and 3 bump into each other at coordinate 0.5.
0.5 seconds after that, that is, 3 seconds after the ants start walking, ants 1, 2 and 3 are at coordinates 1, 3 and 0, respectively.

Sample Input 2

4 20 9
7 2
9 1
12 1
18 1

Sample Output 2

7
18
18
1

Solution in Rust (1.15.1) (judge verdict: Accepted)

#![allow(unused_imports)]
#![allow(dead_code)]
#![allow(unused_macros)]
#![allow(non_snake_case)]

use std::cmp::{max, min};
use std::cmp::Ordering::{self, Equal, Greater, Less};
use std::collections::{HashMap, HashSet};
use std::f64::consts::PI;
use std::io::Write;
use std::ops::{AddAssign, Sub};

macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};

    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };

    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };

    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };

    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };

    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}

macro_rules! debug {
    ($($e:expr),*) => {
        #[cfg(debug_assertions)]
        $({
            let (e, mut err) = (stringify!($e), std::io::stderr());
            writeln!(err, "{} = {:?}", e, $e).unwrap()
        })*
    };
}

trait Ext {
    type Item;

    fn lower_bound(&self, x: &Self::Item) -> usize
        where
            Self::Item: Ord;

    fn lower_bound_by<'a, F>(&'a self, f: F) -> usize
        where
            F: FnMut(&'a Self::Item) -> Ordering;

    fn lower_bound_by_key<'a, K, F>(&'a self, k: &K, f: F) -> usize
        where
            F: FnMut(&'a Self::Item) -> K,
            K: Ord;

    fn upper_bound(&self, x: &Self::Item) -> usize
        where
            Self::Item: Ord;

    fn upper_bound_by<'a, F>(&'a self, f: F) -> usize
        where
            F: FnMut(&'a Self::Item) -> Ordering;

    fn upper_bound_by_key<'a, K, F>(&'a self, k: &K, f: F) -> usize
        where
            F: FnMut(&'a Self::Item) -> K,
            K: Ord;

    fn equal_range(&self, x: &Self::Item) -> std::ops::Range<usize>
        where
            Self::Item: Ord;

    fn equal_range_by<'a, F>(&'a self, f: F) -> std::ops::Range<usize>
        where
            F: FnMut(&'a Self::Item) -> Ordering;

    fn equal_range_by_key<'a, K, F>(&'a self, k: &K, f: F) -> std::ops::Range<usize>
        where
            F: FnMut(&'a Self::Item) -> K,
            K: Ord;
}

impl<T> Ext for [T] {
    type Item = T;

    fn lower_bound(&self, x: &Self::Item) -> usize
        where
            T: Ord,
    {
        self.lower_bound_by(|y| y.cmp(x))
    }
    fn lower_bound_by<'a, F>(&'a self, mut f: F) -> usize
        where
            F: FnMut(&'a Self::Item) -> Ordering,
    {
        let s = self;
        let mut size = s.len();
        if size == 0 {
            return 0;
        }
        let mut base = 0usize;
        while size > 1 {
            let half = size / 2;
            let mid = base + half;
            let cmp = f(unsafe { s.get_unchecked(mid) });
            base = if cmp == Less { mid } else { base };
            size -= half;
        }
        let cmp = f(unsafe { s.get_unchecked(base) });
        base + (cmp == Less) as usize
    }
    fn lower_bound_by_key<'a, K, F>(&'a self, k: &K, mut f: F) -> usize
        where
            F: FnMut(&'a Self::Item) -> K,
            K: Ord,
    {
        self.lower_bound_by(|e| f(e).cmp(k))
    }

    fn upper_bound(&self, x: &Self::Item) -> usize
        where
            T: Ord,
    {
        self.upper_bound_by(|y| y.cmp(x))
    }

    fn upper_bound_by<'a, F>(&'a self, mut f: F) -> usize
        where
            F: FnMut(&'a Self::Item) -> Ordering,
    {
        let s = self;
        let mut size = s.len();
        if size == 0 {
            return 0;
        }
        let mut base = 0usize;
        while size > 1 {
            let half = size / 2;
            let mid = base + half;
            let cmp = f(unsafe { s.get_unchecked(mid) });
            base = if cmp == Greater { base } else { mid };
            size -= half;
        }
        let cmp = f(unsafe { s.get_unchecked(base) });
        base + (cmp != Greater) as usize
    }
    fn upper_bound_by_key<'a, K, F>(&'a self, k: &K, mut f: F) -> usize
        where
            F: FnMut(&'a Self::Item) -> K,
            K: Ord,
    {
        self.upper_bound_by(|e| f(e).cmp(k))
    }

    fn equal_range(&self, x: &Self::Item) -> std::ops::Range<usize>
        where
            T: Ord,
    {
        self.equal_range_by(|y| y.cmp(x))
    }
    fn equal_range_by<'a, F>(&'a self, mut f: F) -> std::ops::Range<usize>
        where
            F: FnMut(&'a Self::Item) -> Ordering,
    {
        let s = self;
        let mut size = s.len();
        if size == 0 {
            return 0..0;
        }
        let mut base = (0usize, 0usize);
        while size > 1 {
            let half = size / 2;
            let mid = (base.0 + half, base.1 + half);
            let cmp = (
                f(unsafe { s.get_unchecked(mid.0) }),
                f(unsafe { s.get_unchecked(mid.1) }),
            );
            base = (
                if cmp.0 == Less { mid.0 } else { base.0 },
                if cmp.1 == Greater { base.1 } else { mid.1 },
            );
            size -= half;
        }
        let cmp = (
            f(unsafe { s.get_unchecked(base.0) }),
            f(unsafe { s.get_unchecked(base.1) }),
        );
        (base.0 + (cmp.0 == Less) as usize..base.1 + (cmp.1 != Greater) as usize)
    }

    fn equal_range_by_key<'a, K, F>(&'a self, k: &K, mut f: F) -> std::ops::Range<usize>
        where
            F: FnMut(&'a Self::Item) -> K,
            K: Ord,
    {
        self.equal_range_by(|e| f(e).cmp(k))
    }
}

struct UnionFind {
    parts: Vec<usize>
}

impl UnionFind {
    fn new(n: usize) -> UnionFind {
        let parts = (0..n).collect();
        UnionFind { parts: parts }
    }

    fn union(&mut self, i: usize, j: usize) {
        let i_leader = self.find(i);
        let j_leader = self.find(j);
        self.parts[j_leader] = self.parts[i_leader];
    }

    fn find(&mut self, i: usize) -> usize {
        let mut p = i;
        while self.parts[p] != p {
            p = self.parts[p]
        };
        let mut s = i;
        while s != p {
            let t = self.parts[s];
            self.parts[s] = p;
            s = t
        };
        p
    }

    fn find_only(&self, i: usize) -> usize {
        let mut p = i;
        while self.parts[p] != p {
            p = self.parts[p]
        };
        p
    }

    fn same(&mut self, i: usize, j: usize) -> bool {
        self.find(i) == self.find(j)
    }

    fn same_only(&self, i: usize, j: usize) -> bool {
        self.find_only(i) == self.find_only(j)
    }
}

struct BinaryIndexTree<T> {
    data: Vec<T>,
}

impl<T> BinaryIndexTree<T>
    where
        T: Copy + AddAssign + Sub<Output=T> + Default,
{
    fn new(size: usize) -> Self {
        let buf_size = size.next_power_of_two();
        BinaryIndexTree {
            data: vec![T::default(); buf_size + 1],
        }
    }

    fn range_sum(&self, l: usize, r: usize) -> T {
        self.sum(r - 1) - self.sum(l - 1)
    }

    fn sum(&self, i: usize) -> T {
        let mut i = i as i64;
        let mut ret = T::default();
        while i > 0 {
            ret += self.data[i as usize];
            i -= i & -i;
        }
        ret
    }

    fn add(&mut self, i: usize, value: T) {
        assert!(i > 0);
        let n = self.data.len() as i64;
        let mut i = i as i64;
        while i <= n - 1 {
            self.data[i as usize] += value;
            i += i & -i;
        }
    }
}

#[inline]
fn clamp<T: PartialOrd>(input: T, min: T, max: T) -> T {
    debug_assert!(min <= max, "min must be less than or equal to max");
    if input < min {
        min
    } else if input > max {
        max
    } else {
        input
    }
}

#[inline]
fn coord_compress<T: std::clone::Clone + std::cmp::Ord>(src: Vec<T>) -> Vec<usize> {
    let mut tmp = src.clone();
    tmp.sort();
    tmp.dedup();
    src.iter()
        .map(|x| {
            tmp.binary_search(x).unwrap()
        })
        .collect()
}

#[inline]
fn binary_search<F>(l: i64, r: i64, query_fn: F) -> i64 where F: Fn(i64) -> bool {
    let mut size = r - l;
    let mut base = l;
    while size > 1 {
        let half = size / 2;
        let mid = base + half;
        if !query_fn(mid) {
            base = mid;
        }
        size -= half;
    }
    base + !query_fn(base) as i64
}

#[inline]
fn rel<T: PartialOrd + Default>(n: T) -> T {
    if n < T::default() {
        T::default()
    } else {
        n
    }
}

#[inline]
fn rem_euclid(a: i64, rhs: i64) -> i64 {
    let r = a % rhs;
    if r < 0 {
        if rhs < 0 {
            r - rhs
        } else {
            r + rhs
        }
    } else {
        r
    }
}

#[inline]
fn div_euclid(a: i64, rhs: i64) -> i64{
    let q = a / rhs;
    if a % rhs < 0 {
        return if rhs > 0 { q - 1 } else { q + 1 }
    }
    q
}

fn main() {
    input! {
        N: isize,
        L: i64,
        T: i64,
        aa: [(i64, i64); N],
    }
    let N: isize = N;
    let L: i64 = L;
    let T: i64 = T;
    let aa: Vec<(i64, i64)> = aa;

    let mut bb = vec![];
    let mut shift = 0;
    for (x, w) in aa {
        let xt = if w == 1 {
            x + T
        } else {
            x - T
        };
        shift += div_euclid(xt, L);
        bb.push( rem_euclid(xt, L));
    }
    bb.sort();
    shift = rem_euclid(shift, N as i64);
    debug!(bb, shift);

    for b in bb.iter().skip(shift as usize) {
        println!("{}", b);
    }
    for b in bb.iter().take(shift as usize) {
        println!("{}", b);
    }
}