// Autor: Mikołaj Janusz #include <bits/stdc++.h> typedef long long ll; using namespace std; int main() { ios::sync_with_stdio(false); int n; cin >> n; ll MODULO_BASE = 1000000007; if (n < 4500) { vector<ll> numbers(n); vector<ll> res(n); ll cur_sum = 0; for (int i = 0; i < n; i++) { cin >> numbers[i]; } for (int i = 0; i < n; i++) { for (int j = 0; j < i; j++) { cur_sum = (cur_sum + numbers[i-j]) % MODULO_BASE; if (cur_sum % 2 == 0) res[i] = (res[i] + res[i-j-1]) % MODULO_BASE; } if (((cur_sum + numbers[0]) % MODULO_BASE) % 2 == 0) { res[i] = (res[i] + 1) % MODULO_BASE; } cur_sum = 0; } cout << res[n-1] << endl; } else { vector<ll> remainders(n); vector<ll> last_odd(n); vector<ll> dp(n+1); ll cur_sum = 0; ll temp; ll last_odd_index = -1; for (int i = 0; i < n; i++) { cin >> temp; remainders[i] = ((temp % (MODULO_BASE)) % 2); last_odd[i] = last_odd_index; if (remainders[i] % 2 != 0) { last_odd_index = i; } } dp[0] = 1; dp[1] = remainders[0] ^ 1; for (int i = 1; i < n; i++) { if (remainders[i] % 2 == 0) { dp[i+1] = (dp[i] * 2) % MODULO_BASE; } else { last_odd_index = last_odd[i]; if (last_odd_index == -1) { dp[i+1] = 0; } else { if (last_odd_index == 0) { dp[i+1] = 1; } else { dp[i+1] = (dp[last_odd_index] * 2) % MODULO_BASE; } } } } cout << dp[n] << endl; } return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 | // Autor: Mikołaj Janusz #include <bits/stdc++.h> typedef long long ll; using namespace std; int main() { ios::sync_with_stdio(false); int n; cin >> n; ll MODULO_BASE = 1000000007; if (n < 4500) { vector<ll> numbers(n); vector<ll> res(n); ll cur_sum = 0; for (int i = 0; i < n; i++) { cin >> numbers[i]; } for (int i = 0; i < n; i++) { for (int j = 0; j < i; j++) { cur_sum = (cur_sum + numbers[i-j]) % MODULO_BASE; if (cur_sum % 2 == 0) res[i] = (res[i] + res[i-j-1]) % MODULO_BASE; } if (((cur_sum + numbers[0]) % MODULO_BASE) % 2 == 0) { res[i] = (res[i] + 1) % MODULO_BASE; } cur_sum = 0; } cout << res[n-1] << endl; } else { vector<ll> remainders(n); vector<ll> last_odd(n); vector<ll> dp(n+1); ll cur_sum = 0; ll temp; ll last_odd_index = -1; for (int i = 0; i < n; i++) { cin >> temp; remainders[i] = ((temp % (MODULO_BASE)) % 2); last_odd[i] = last_odd_index; if (remainders[i] % 2 != 0) { last_odd_index = i; } } dp[0] = 1; dp[1] = remainders[0] ^ 1; for (int i = 1; i < n; i++) { if (remainders[i] % 2 == 0) { dp[i+1] = (dp[i] * 2) % MODULO_BASE; } else { last_odd_index = last_odd[i]; if (last_odd_index == -1) { dp[i+1] = 0; } else { if (last_odd_index == 0) { dp[i+1] = 1; } else { dp[i+1] = (dp[last_odd_index] * 2) % MODULO_BASE; } } } } cout << dp[n] << endl; } return 0; } |