/*
* 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; } |
English