/* * Copyright (C) 2021 Paweł Widera * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 3 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details: * http://www.gnu.org/licenses/gpl.html */ #include <iostream> #include <algorithm> #include <vector> #include <unordered_map> using namespace std; #define MOD 1000000007 int n, number; vector<int> numbers; unordered_map<int, int> cache; int pow(int k) { long long int result = 1; for (int i = 0; i < k; ++i) { result = (2 * result) % MOD; } return result; } int check(int start) { vector<int> indices; indices.push_back(0); // find start index of all minimal subsets with even sum int sum = 0; for (int i = 0; i < n; ++i) { sum = (sum + numbers[i]) % MOD; if (sum % 2 == 0) { indices.push_back(i + 1); sum = 0; } } if (indices.back() != n) { return 0; } // simple case without overflows return pow(indices.size() - 2); } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cin >> n; numbers.reserve(n); cache.reserve(n + 1); for (int i = 0; i < n; ++i) { cin >> number; numbers.push_back(number); } cout << check(0) << 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 | /* * Copyright (C) 2021 Paweł Widera * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 3 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details: * http://www.gnu.org/licenses/gpl.html */ #include <iostream> #include <algorithm> #include <vector> #include <unordered_map> using namespace std; #define MOD 1000000007 int n, number; vector<int> numbers; unordered_map<int, int> cache; int pow(int k) { long long int result = 1; for (int i = 0; i < k; ++i) { result = (2 * result) % MOD; } return result; } int check(int start) { vector<int> indices; indices.push_back(0); // find start index of all minimal subsets with even sum int sum = 0; for (int i = 0; i < n; ++i) { sum = (sum + numbers[i]) % MOD; if (sum % 2 == 0) { indices.push_back(i + 1); sum = 0; } } if (indices.back() != n) { return 0; } // simple case without overflows return pow(indices.size() - 2); } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cin >> n; numbers.reserve(n); cache.reserve(n + 1); for (int i = 0; i < n; ++i) { cin >> number; numbers.push_back(number); } cout << check(0) << endl; return 0; } |