Submission #1356787

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Source Code Expand

// Copyright (C) 2017 __debug.

// 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; version 3

// 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.

// You should have received a copy of the GNU General Public License
// along with this program; If not, see <http://www.gnu.org/licenses/>.


#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/priority_queue.hpp>

#define x first
#define y second
#define MP std::make_pair
#define SZ(x) ((int)(x).size())
#define ALL(x) (x).begin(), (x).end()
#define DEBUG(...) fprintf(stderr, __VA_ARGS__)
#ifdef __linux__
#define getchar getchar_unlocked
#define putchar putchar_unlocked
#endif

using std::pair;
using std::vector;
using std::string;

typedef long long LL;
typedef pair<int, int> Pii;

const int oo = 0x3f3f3f3f;

template<typename T> inline bool chkmax(T &a, T b) { return a < b ? a = b, true : false; }
template<typename T> inline bool chkmin(T &a, T b) { return b < a ? a = b, true : false; }
string procStatus()
{
    std::ifstream t("/proc/self/status");
    return string(std::istreambuf_iterator<char>(t), std::istreambuf_iterator<char>());
}
template<typename T> T read(T &x)
{
    int f = 1;
    char ch = getchar();
    for (; !isdigit(ch); ch = getchar())
        f = (ch == '-' ? -1 : 1);
    for (x = 0; isdigit(ch); ch = getchar())
        x = 10 * x + ch - '0';
    return x *= f;
}
template<typename T> void write(T x)
{
    if (x == 0) {
        putchar('0');
        return;
    }
    if (x < 0) {
        putchar('-');
        x = -x;
    }
    static char s[20];
    int top = 0;
    for (; x; x /= 10)
        s[++top] = x % 10 + '0';
    while (top)
        putchar(s[top--]);
}
// EOT

const int MAXN = 1e5 + 5;

int N;
int A[MAXN];

void input()
{
    read(N);
    for (int i = 1; i <= N; ++i) {
        read(A[i]);
    }
}

void solve()
{
    if (N == 2) {
        puts((A[1] + A[2]) & 1 ? "First" : "Second");
        return;
    }

    for (int side = 0; ; side ^= 1) {
        LL cntodd = 0, sum = 0, cnt1 = 0;
        for (int i = 1; i <= N; ++i) {
            sum += A[i];
            if (A[i] & 1)
                ++cntodd;
            if (A[i] == 1)
                ++cnt1;
        }
        if ((sum - N) & 1) {
            puts(side ? "Second" : "First");
            break;
        }
        if (cnt1 != 0 || cntodd != 1) {
            puts(side ? "First" : "Second");
            break;
        }
        int g = 0;
        for (int i = 1; i <= N; ++i) {
            if (A[i] & 1) --A[i];
            g = std::__gcd(g, A[i]);
        }
        assert(g != 1);
        for (int i = 1; i <= N; ++i) {
            A[i] /= g;
        }
    }
}

int main()
{
#ifdef __DEBUG
    freopen("D.in", "r", stdin);
    freopen("D.out", "w", stdout);
#endif

    input();
    solve();

    return 0;
}

// 月出惊山鸟，时鸣春涧中。
//     -- 王维《鸟鸣涧》

Submission Info

Judge Result