#[allow(unused_imports)]
use std::cmp::*;
#[allow(unused_imports)]
use std::collections::*;
use std::io::{Write, BufWriter};
// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
macro_rules! input {
    ($($r:tt)*) => {
        let stdin = std::io::stdin();
        let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock()));
        let mut next = move || -> String{
            bytes
                .by_ref()
                .map(|r|r.unwrap() as char)
                .skip_while(|c|c.is_whitespace())
                .take_while(|c|!c.is_whitespace())
                .collect()
        };
        input_inner!{next, $($r)*}
    };
}

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

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

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

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

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

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

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

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

/// Verified by https://atcoder.jp/contests/arc093/submissions/3968098
mod mod_int {
    use std::ops::*;
    pub trait Mod: Copy { fn m() -> i64; }
    #[derive(Copy, Clone, Hash, PartialEq, Eq, PartialOrd, Ord)]
    pub struct ModInt<M> { pub x: i64, phantom: ::std::marker::PhantomData<M> }
    impl<M: Mod> ModInt<M> {
        // x >= 0
        pub fn new(x: i64) -> Self { ModInt::new_internal(x % M::m()) }
        fn new_internal(x: i64) -> Self {
            ModInt { x: x, phantom: ::std::marker::PhantomData }
        }
        pub fn pow(self, mut e: i64) -> Self {
            debug_assert!(e >= 0);
            let mut sum = ModInt::new_internal(1);
            let mut cur = self;
            while e > 0 {
                if e % 2 != 0 { sum *= cur; }
                cur *= cur;
                e /= 2;
            }
            sum
        }
        #[allow(dead_code)]
        pub fn inv(self) -> Self { self.pow(M::m() - 2) }
    }
    impl<M: Mod, T: Into<ModInt<M>>> Add<T> for ModInt<M> {
        type Output = Self;
        fn add(self, other: T) -> Self {
            let other = other.into();
            let mut sum = self.x + other.x;
            if sum >= M::m() { sum -= M::m(); }
            ModInt::new_internal(sum)
        }
    }
    impl<M: Mod, T: Into<ModInt<M>>> Sub<T> for ModInt<M> {
        type Output = Self;
        fn sub(self, other: T) -> Self {
            let other = other.into();
            let mut sum = self.x - other.x;
            if sum < 0 { sum += M::m(); }
            ModInt::new_internal(sum)
        }
    }
    impl<M: Mod, T: Into<ModInt<M>>> Mul<T> for ModInt<M> {
        type Output = Self;
        fn mul(self, other: T) -> Self { ModInt::new(self.x * other.into().x % M::m()) }
    }
    impl<M: Mod, T: Into<ModInt<M>>> AddAssign<T> for ModInt<M> {
        fn add_assign(&mut self, other: T) { *self = *self + other; }
    }
    impl<M: Mod, T: Into<ModInt<M>>> SubAssign<T> for ModInt<M> {
        fn sub_assign(&mut self, other: T) { *self = *self - other; }
    }
    impl<M: Mod, T: Into<ModInt<M>>> MulAssign<T> for ModInt<M> {
        fn mul_assign(&mut self, other: T) { *self = *self * other; }
    }
    impl<M: Mod> Neg for ModInt<M> {
        type Output = Self;
        fn neg(self) -> Self { ModInt::new(0) - self }
    }
    impl<M> ::std::fmt::Display for ModInt<M> {
        fn fmt(&self, f: &mut ::std::fmt::Formatter) -> ::std::fmt::Result {
            self.x.fmt(f)
        }
    }
    impl<M: Mod> ::std::fmt::Debug for ModInt<M> {
        fn fmt(&self, f: &mut ::std::fmt::Formatter) -> ::std::fmt::Result {
            let (mut a, mut b, _) = red(self.x, M::m());
            if b < 0 {
                a = -a;
                b = -b;
            }
            write!(f, "{}/{}", a, b)
        }
    }
    impl<M: Mod> From<i64> for ModInt<M> {
        fn from(x: i64) -> Self { Self::new(x) }
    }
    // Finds the simplest fraction x/y congruent to r mod p.
    // The return value (x, y, z) satisfies x = y * r + z * p.
    fn red(r: i64, p: i64) -> (i64, i64, i64) {
        if r.abs() <= 10000 {
            return (r, 1, 0);
        }
        let mut nxt_r = p % r;
        let mut q = p / r;
        if 2 * nxt_r >= r {
            nxt_r -= r;
            q += 1;
        }
        if 2 * nxt_r <= -r {
            nxt_r += r;
            q -= 1;
        }
        let (x, z, y) = red(nxt_r, r);
        (x, y - q * z, z)
    }
} // mod mod_int

macro_rules! define_mod {
    ($struct_name: ident, $modulo: expr) => {
        #[derive(Copy, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)]
        struct $struct_name {}
        impl mod_int::Mod for $struct_name { fn m() -> i64 { $modulo } }
    }
}
const MOD: i64 = 1_000_000_007;
define_mod!(P, MOD);
type ModInt = mod_int::ModInt<P>;

fn calc_unique_right(a: &[usize], k: usize) -> usize {
    let mut seen = vec![false; k];
    let m = a.len();
    for i in 0..m {
        let val = a[m - i - 1];
        if seen[val] {
            return i;
        }
        seen[val] = true;
    }
    0
}

fn calc_dp(init: usize, k: usize, n: usize) -> Vec<Vec<ModInt>> {
    let mut dp = vec![vec![ModInt::new(0); k]; n + 1];
    dp[0][init] += 1;
    for i in 0..n {
        let mut acc = ModInt::new(0);
        for j in (1..k).rev() {
            acc += dp[i][j];
            if j + 1 < k {
                dp[i + 1][j + 1] += dp[i][j] * (k - j) as i64;
            }
            dp[i + 1][j] += acc;
        }
    }
    dp
}

fn solve() {
    let out = std::io::stdout();
    let mut out = BufWriter::new(out.lock());
    macro_rules! puts {
        ($($format:tt)*) => (write!(out,$($format)*).unwrap());
    }
    input! {
        n: usize, k: usize, m: usize,
        a: [usize1; m],
    }
    let mut itself = false;
    let mut freq = vec![0; k];
    let mut present = 0;
    for i in 0..m {
        freq[a[i]] += 1;
        if freq[a[i]] == 1 {
            present += 1;
        }
        if i >= k {
            freq[a[i - k]] -= 1;
            if freq[a[i - k]] == 0 {
                present -= 1;
            }
        }
        if present == k {
            itself = true;
            break;
        }
    }
    let whole = ModInt::new(k as i64).pow((n - m) as i64)
        * (n - m + 1) as i64;
    if itself {
        puts!("{}\n", whole);
        return;
    }
    let right = calc_unique_right(&a, k);
    if right != 0 {
        let mut a = a;
        a.reverse();
        let left = calc_unique_right(&a, k);
        let rdp = calc_dp(right, k, n - m);
        let ldp = calc_dp(left, k, n - m);
        let mut tot = ModInt::new(0);
        for i in 0..n - m + 1 {
            let mut lsum = ModInt::new(0);
            let mut rsum = ModInt::new(0);
            for j in 0..k {
                lsum += ldp[i][j];
                rsum += rdp[n - m - i][j];
            }
            tot += lsum * rsum;
        }
        puts!("{}\n", whole - tot);
        return;
    }
    // a's elements are all distinct
    let mut dp = vec![vec![ModInt::new(0); k]; n + 1];
    let mut ep = vec![vec![ModInt::new(0); k]; n + 1];
    dp[0][0] += 1;
    for i in 0..n {
        let mut acc = ModInt::new(0);
        let mut bcc = ModInt::new(0);
        for j in (0..k).rev() {
            acc += dp[i][j];
            bcc += ep[i][j];
            if j + 1 < k {
                dp[i + 1][j + 1] += dp[i][j] * (k - j) as i64;
                ep[i + 1][j + 1] += ep[i][j] * (k - j) as i64;
            }
            if j > 0 {
                dp[i + 1][j] += acc;
                ep[i + 1][j] += bcc;
            }
        }
        for j in m..k {
            ep[i + 1][j] += dp[i + 1][j];
        }
    }
    let mut tot = ModInt::new(0);
    for j in 0..k {
        tot += ep[n][j];
    }
    for j in 0..m {
        tot *= ModInt::new((k - j) as i64).inv();
    }
    puts!("{}\n", whole - tot);
}

fn main() {
    // In order to avoid potential stack overflow, spawn a new thread.
    let stack_size = 104_857_600; // 100 MB
    let thd = std::thread::Builder::new().stack_size(stack_size);
    thd.spawn(|| solve()).unwrap().join().unwrap();
}


Measured memory_bytes: 188668