제출 #1313295

#제출 시각아이디문제언어결과실행 시간메모리
1313295SpyrosAlivBinaria (CCO23_day1problem1)C++20
25 / 25
66 ms24020 KiB
#include <bits/stdc++.h> using namespace std; #define int long long const int MOD = 1e6+3; const int MN = 1e6+5; int fact[MN]; int n, k; int a[MN], po[MN]; int binpow(int a, int b) { int res = 1; while (b) { if (b & 1) { res = res * a % MOD; } b /= 2; a = a * a % MOD; } return res; } int inv(int a) { return binpow(a, MOD-2); } int nck(int n, int k) { if (k == 0 || k == n) return 1; return fact[n] * inv(fact[k] * fact[n-k] % MOD) % MOD; } void solve() { cin >> n >> k; fact[0] = 1; for (int i = 1; i <= n; i++) fact[i] = fact[i-1] * i % MOD; vector<bool> same(n+1, false); vector<int> val(n+1, -1); bool bad = false; for (int i = k; i <= n; i++) { cin >> a[i-k+1]; int curr = a[i-k+1]; if (i == k) continue; int prev = a[i-k]; if (abs(prev - curr) > 1) bad = true; if (prev == curr) { same[i] = true; if (val[i-k] != -1) val[i] = val[i-k]; } else { if (prev < curr) { val[i] = 1; if (val[i-k] == 1) { bad = true; } } else { val[i] = 0; if (val[i-k] == 0) { bad = true; } } } } if (bad) { cout << 0 << "\n"; } for (int i = n; i >= k+1; i--) { if (val[i] == -1) continue; if (same[i]) { val[i-k] = val[i]; } else val[i-k] = !val[i]; } int av = a[1]; int could = 0; for (int i = 1; i <= k; i++) { if (val[i] == -1) could++; if (val[i] == 1) av--; } if (av < 0 || av > could) { cout << 0 << "\n"; return; } cout << nck(could, av) << "\n"; } signed main() { ios_base::sync_with_stdio(0); cin.tie(0); int t = 1; while (t--) solve(); return 0; }
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