This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
#define file ""
#define mp make_pair
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define bit(x) (1LL << (x))
#define getbit(x, i) (((x) >> (i)) & 1)
#define popcount __builtin_popcountll
mt19937_64 rd(chrono::steady_clock::now().time_since_epoch().count());
int rand(int l, int r) {
return l + rd() % (r - l + 1);
}
const int N = 1e6 + 5;
const int mod = (int)1e9 + 7; // 998244353;
const int lg = 25; // lg + 1
const int oo = 1e9;
const long long ooo = 1e18;
template<class X, class Y> bool mini(X &a, Y b) {
return a > b ? (a = b, true) : false;
}
template<class X, class Y> bool maxi(X &a, Y b) {
return a < b ? (a = b, true) : false;
}
void add(int &a, int b) {
a += b;
if (a >= mod) a -= mod;
if (a < 0) a += mod;
}
int n, k;
int a[N];
int pw(int x, int y) {
int res = 1;
while (y) {
if (y & 1) res = 1LL * res * x % mod;
x = 1LL * x * x % mod;
y >>= 1;
}
return res;
}
int fac[N], inv[N];
void pre() {
int n = 1e6;
fac[0] = 1;
for (int i = 1; i <= n; ++i) fac[i] = 1LL * fac[i - 1] * i % mod;
inv[n] = pw(fac[n], mod - 2);
for (int i = n; i >= 1; --i) inv[i - 1] = 1LL * inv[i] * i % mod;
}
int nCk(int n, int k) {
if (k < 0 || k > n) return 0;
return 1LL * fac[n] * inv[k] % mod * inv[n - k] % mod;
}
int ok[N];
void process() {
pre();
cin >> n >> k;
for (int i = 1; i <= n - k + 1; ++i) cin >> a[i];
memset(ok, -1, sizeof ok);
for (int i = 1; i <= n - k; ++i) {
if (a[i] == a[i + 1]) ok[i] = ok[i + k];
if (a[i] < a[i + 1]) {
ok[i] = 0;
if (ok[i + k] == 0) {
cout << 0;
return;
}
}
if (a[i] > a[i + 1]) {
ok[i] = 1;
if (ok[i + k] == 1) {
cout << 0;
return;
}
}
if (abs(a[i] - a[i + 1]) > 1) {
cout << 0;
return;
}
}
int cnt = 0;
for (int i = 1; i <= k; ++i) {
a[1] -= (ok[i] == 1);
cnt += (ok[i] == -1);
}
debug(cnt, a[1]);
cout << nCk(cnt, a[1]);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
#else
// freopen(file".inp", "r", stdin);
// freopen(file".out", "w", stdout);
#endif
int tc = 1;
// cin >> tc;
while (tc--) {
process();
}
return 0;
}
/*
*/
Compilation message (stderr)
Main.cpp: In function 'void process()':
Main.cpp:8:20: warning: statement has no effect [-Wunused-value]
8 | #define debug(...) 42
| ^~
Main.cpp:112:5: note: in expansion of macro 'debug'
112 | debug(cnt, a[1]);
| ^~~~~
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