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>
#define nl "\n"
#define no "NO"
#define yes "YES"
#define fi first
#define se second
#define vec vector
#define task "main"
#define _mp make_pair
#define ii pair<int, int>
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define evoid(val) return void(std::cout << val)
#define FOR(i, a, b) for(int i = (a); i <= (b); ++i)
#define FOD(i, b, a) for(int i = (b); i >= (a); --i)
#define unq(x) sort(all(x)); x.resize(unique(all(x)) - x.begin())
using namespace std;
template<typename U, typename V> bool maxi(U &a, V b) {
if (a < b) { a = b; return 1; } return 0;
}
template<typename U, typename V> bool mini(U &a, V b) {
if (a > b) { a = b; return 1; } return 0;
}
const int N = (int)2e5 + 9;
const int mod = (int)1e6 + 3;
void prepare(); void main_code();
int main() {
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
const bool MULTITEST = 0; prepare();
int num_test = 1; if (MULTITEST) cin >> num_test;
while (num_test--) { main_code(); }
}
void prepare() {};
int n, k;
namespace SUB1 {
int a[20], s[20];
void sol() {
FOR(i, 0, n - k) cin >> a[i];
int ans = 0;
FOR(mask, 0, (1 << n) - 1) {
FOR(i, 0, n - k) s[i] = 0;
FOR(i, 0, k - 1) s[0] += 1 & mask >> i;
FOR(j, 1, n - k) {
s[j] = s[j - 1] - (1 & (mask >> (j - 1))) + (1 & (mask >> (j + k - 1)));
}
bool ok = 1;
FOR(i, 0, n - k) ok &= a[i] == s[i];
if (ok) ++ans;
}
cout << ans;
}
};
#define ON(mask, i) (1 & (mask >> i))
namespace SUB2 {
const int N = 1007, K = 1 << 10;
int dp[N][K], a[N];
void add(int &a, int b) {
a += b; if (a >= mod) a -= mod;
}
void sol() {
FOR(i, 1, n - k + 1) cin >> a[i + k - 1];
FOR(i, k, n - 1) if ( abs(a[i] - a[i + 1]) > 1 ) evoid(0);
FOR(mask, 0, (1 << k) - 1) {
if (__builtin_popcount(mask) == a[k])
++dp[k][mask];
}
FOR(i, k, n - 1) FOR(mask, 0, (1 << k) - 1) if (dp[i][mask]) {
if (a[i] == a[i + 1]) {
int new_mask = (mask >> 1);
if (ON(mask, 0)) {
new_mask |= (1 << (k - 1));
}
add(dp[i + 1][new_mask], dp[i][mask]);
} else {
int new_mask = (mask >> 1);
if (a[i] < a[i + 1]) {
if (!ON(mask, 0)) {
new_mask |= (1 << (k - 1));
add(dp[i + 1][new_mask], dp[i][mask]);
}
} else {
if (ON(mask, 0)) {
add(dp[i + 1][new_mask], dp[i][mask]);
}
}
}
}
int res = 0;
FOR(mask, 0, (1 << k) - 1) add(res, dp[n][mask]);
cout << res;
}
};
void main_code() {
cin >> n >> k;
if (n <= 10) return SUB1::sol(), void();
if (n <= 1000 and k <= 10) return SUB2::sol(), void();
}
/* Let the river flows naturally */
Compilation message (stderr)
Main.cpp: In function 'int main()':
Main.cpp:36:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
36 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:37:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
37 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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