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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#613219#9443. Left Equals Rightucup-team1264#AC ✓31ms7136kbC++2016.6kb2024-10-05 13:46:082024-10-05 13:47:05

Judging History

你现在查看的是最新测评结果

  • [2024-10-05 13:47:05]
  • 评测
  • 测评结果:AC
  • 用时:31ms
  • 内存:7136kb
  • [2024-10-05 13:46:08]
  • 提交

answer

// https://www.youtube.com/watch?v=CrymicX875M
// Angel of mercy
// How did you move me
// Why am I on my feet again

#ifndef ONLINE_JUDGE
#include "templates/debug.hpp"
#else
#define debug(...)
#endif

#include <bits/stdc++.h>
using namespace std;
using i64 = int64_t;
using u64 = uint64_t;



#include <utility>

namespace atcoder {

namespace internal {

// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
    x %= m;
    if (x < 0) x += m;
    return x;
}

// Fast modular multiplication by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
    unsigned int _m;
    unsigned long long im;

    // @param m `1 <= m < 2^31`
    barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}

    // @return m
    unsigned int umod() const { return _m; }

    // @param a `0 <= a < m`
    // @param b `0 <= b < m`
    // @return `a * b % m`
    unsigned int mul(unsigned int a, unsigned int b) const {
        // [1] m = 1
        // a = b = im = 0, so okay

        // [2] m >= 2
        // im = ceil(2^64 / m)
        // -> im * m = 2^64 + r (0 <= r < m)
        // let z = a*b = c*m + d (0 <= c, d < m)
        // a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
        // c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1)
        // < 2^64 * 2
        // ((ab * im) >> 64) == c or c + 1
        unsigned long long z = a;
        z *= b;
#ifdef _MSC_VER
        unsigned long long x;
        _umul128(z, im, &x);
#else
        unsigned long long x =
            (unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
        unsigned int v = (unsigned int)(z - x * _m);
        if (_m <= v) v += _m;
        return v;
    }
};

// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
    if (m == 1) return 0;
    unsigned int _m = (unsigned int)(m);
    unsigned long long r = 1;
    unsigned long long y = safe_mod(x, m);
    while (n) {
        if (n & 1) r = (r * y) % _m;
        y = (y * y) % _m;
        n >>= 1;
    }
    return r;
}

// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
    if (n <= 1) return false;
    if (n == 2 || n == 7 || n == 61) return true;
    if (n % 2 == 0) return false;
    long long d = n - 1;
    while (d % 2 == 0)
        d /= 2;
    constexpr long long bases[3] = {2, 7, 61};
    for (long long a : bases) {
        long long t = d;
        long long y = pow_mod_constexpr(a, t, n);
        while (t != n - 1 && y != 1 && y != n - 1) {
            y = y * y % n;
            t <<= 1;
        }
        if (y != n - 1 && t % 2 == 0) { return false; }
    }
    return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);

// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
    a = safe_mod(a, b);
    if (a == 0) return {b, 0};

    // Contracts:
    // [1] s - m0 * a = 0 (mod b)
    // [2] t - m1 * a = 0 (mod b)
    // [3] s * |m1| + t * |m0| <= b
    long long s = b, t = a;
    long long m0 = 0, m1 = 1;

    while (t) {
        long long u = s / t;
        s -= t * u;
        m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b

        // [3]:
        // (s - t * u) * |m1| + t * |m0 - m1 * u|
        // <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
        // = s * |m1| + t * |m0| <= b

        auto tmp = s;
        s = t;
        t = tmp;
        tmp = m0;
        m0 = m1;
        m1 = tmp;
    }
    // by [3]: |m0| <= b/g
    // by g != b: |m0| < b/g
    if (m0 < 0) m0 += b / s;
    return {s, m0};
}

// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
    if (m == 2) return 1;
    if (m == 167772161) return 3;
    if (m == 469762049) return 3;
    if (m == 754974721) return 11;
    if (m == 998244353) return 3;
    int divs[20] = {};
    divs[0] = 2;
    int cnt = 1;
    int x = (m - 1) / 2;
    while (x % 2 == 0)
        x /= 2;
    for (int i = 3; (long long)(i)*i <= x; i += 2) {
        if (x % i == 0) {
            divs[cnt++] = i;
            while (x % i == 0) {
                x /= i;
            }
        }
    }
    if (x > 1) { divs[cnt++] = x; }
    for (int g = 2;; g++) {
        bool ok = true;
        for (int i = 0; i < cnt; i++) {
            if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
                ok = false;
                break;
            }
        }
        if (ok) return g;
    }
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);

} // namespace internal

} // namespace atcoder


#include <cassert>
#include <numeric>
#include <type_traits>

namespace atcoder {

namespace internal {

#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value ||
                                  std::is_same<T, __int128>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using is_unsigned_int128 =
    typename std::conditional<std::is_same<T, __uint128_t>::value ||
                                  std::is_same<T, unsigned __int128>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using make_unsigned_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value,
                              __uint128_t,
                              unsigned __int128>;

template <class T>
using is_integral = typename std::conditional<std::is_integral<T>::value ||
                                                  is_signed_int128<T>::value ||
                                                  is_unsigned_int128<T>::value,
                                              std::true_type,
                                              std::false_type>::type;

template <class T>
using is_signed_int = typename std::conditional<(is_integral<T>::value &&
                                                 std::is_signed<T>::value) ||
                                                    is_signed_int128<T>::value,
                                                std::true_type,
                                                std::false_type>::type;

template <class T>
using is_unsigned_int =
    typename std::conditional<(is_integral<T>::value &&
                               std::is_unsigned<T>::value) ||
                                  is_unsigned_int128<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using to_unsigned = typename std::conditional<
    is_signed_int128<T>::value,
    make_unsigned_int128<T>,
    typename std::conditional<std::is_signed<T>::value,
                              std::make_unsigned<T>,
                              std::common_type<T>>::type>::type;

#else

template <class T> using is_integral = typename std::is_integral<T>;

template <class T>
using is_signed_int =
    typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using is_unsigned_int =
    typename std::conditional<is_integral<T>::value &&
                                  std::is_unsigned<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using to_unsigned = typename std::conditional<is_signed_int<T>::value,
                                              std::make_unsigned<T>,
                                              std::common_type<T>>::type;

#endif

template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;

template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;

template <class T> using to_unsigned_t = typename to_unsigned<T>::type;

}  // namespace internal

}  // namespace atcoder

#include <cassert>
#include <numeric>
#include <type_traits>

#ifdef _MSC_VER
#include <intrin.h>
#endif

namespace atcoder {

namespace internal {

struct modint_base {};
struct static_modint_base : modint_base {};

template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;

} // namespace internal

template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
    using mint = static_modint;

  public:
    static constexpr int mod() { return m; }
    static mint raw(int v) {
        mint x;
        x._v = v;
        return x;
    }

    static_modint() : _v(0) {}
    template <class T, internal::is_signed_int_t<T> * = nullptr>
    static_modint(T v) {
        long long x = (long long)(v % (long long)(umod()));
        if (x < 0) x += umod();
        _v = (unsigned int)(x);
    }
    template <class T, internal::is_unsigned_int_t<T> * = nullptr>
    static_modint(T v) {
        _v = (unsigned int)(v % umod());
    }
    static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }

    unsigned int val() const { return _v; }

    mint &operator++() {
        _v++;
        if (_v == umod()) _v = 0;
        return *this;
    }
    mint &operator--() {
        if (_v == 0) _v = umod();
        _v--;
        return *this;
    }
    mint operator++(int) {
        mint result = *this;
        ++*this;
        return result;
    }
    mint operator--(int) {
        mint result = *this;
        --*this;
        return result;
    }

    mint &operator+=(const mint &rhs) {
        _v += rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint &operator-=(const mint &rhs) {
        _v -= rhs._v;
        if (_v >= umod()) _v += umod();
        return *this;
    }
    mint &operator*=(const mint &rhs) {
        unsigned long long z = _v;
        z *= rhs._v;
        _v = (unsigned int)(z % umod());
        return *this;
    }
    mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }

    mint operator+() const { return *this; }
    mint operator-() const { return mint() - *this; }

    mint pow(long long n) const {
        assert(0 <= n);
        mint x = *this, r = 1;
        while (n) {
            if (n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    mint inv() const {
        if (prime) {
            assert(_v);
            return pow(umod() - 2);
        } else {
            auto eg = internal::inv_gcd(_v, m);
            assert(eg.first == 1);
            return eg.second;
        }
    }

    friend mint operator+(const mint &lhs, const mint &rhs) {
        return mint(lhs) += rhs;
    }
    friend mint operator-(const mint &lhs, const mint &rhs) {
        return mint(lhs) -= rhs;
    }
    friend mint operator*(const mint &lhs, const mint &rhs) {
        return mint(lhs) *= rhs;
    }
    friend mint operator/(const mint &lhs, const mint &rhs) {
        return mint(lhs) /= rhs;
    }
    friend bool operator==(const mint &lhs, const mint &rhs) {
        return lhs._v == rhs._v;
    }
    friend bool operator!=(const mint &lhs, const mint &rhs) {
        return lhs._v != rhs._v;
    }

  private:
    unsigned int _v;
    static constexpr unsigned int umod() { return m; }
    static constexpr bool prime = internal::is_prime<m>;
};

template <int id> struct dynamic_modint : internal::modint_base {
    using mint = dynamic_modint;

  public:
    static int mod() { return (int)(bt.umod()); }
    static void set_mod(int m) {
        assert(1 <= m);
        bt = internal::barrett(m);
    }
    static mint raw(int v) {
        mint x;
        x._v = v;
        return x;
    }

    dynamic_modint() : _v(0) {}
    template <class T, internal::is_signed_int_t<T> * = nullptr>
    dynamic_modint(T v) {
        long long x = (long long)(v % (long long)(mod()));
        if (x < 0) x += mod();
        _v = (unsigned int)(x);
    }
    template <class T, internal::is_unsigned_int_t<T> * = nullptr>
    dynamic_modint(T v) {
        _v = (unsigned int)(v % mod());
    }
    dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }

    unsigned int val() const { return _v; }

    mint &operator++() {
        _v++;
        if (_v == umod()) _v = 0;
        return *this;
    }
    mint &operator--() {
        if (_v == 0) _v = umod();
        _v--;
        return *this;
    }
    mint operator++(int) {
        mint result = *this;
        ++*this;
        return result;
    }
    mint operator--(int) {
        mint result = *this;
        --*this;
        return result;
    }

    mint &operator+=(const mint &rhs) {
        _v += rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint &operator-=(const mint &rhs) {
        _v += mod() - rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint &operator*=(const mint &rhs) {
        _v = bt.mul(_v, rhs._v);
        return *this;
    }
    mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }

    mint operator+() const { return *this; }
    mint operator-() const { return mint() - *this; }

    mint pow(long long n) const {
        assert(0 <= n);
        mint x = *this, r = 1;
        while (n) {
            if (n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    mint inv() const {
        auto eg = internal::inv_gcd(_v, mod());
        assert(eg.first == 1);
        return eg.second;
    }

    friend mint operator+(const mint &lhs, const mint &rhs) {
        return mint(lhs) += rhs;
    }
    friend mint operator-(const mint &lhs, const mint &rhs) {
        return mint(lhs) -= rhs;
    }
    friend mint operator*(const mint &lhs, const mint &rhs) {
        return mint(lhs) *= rhs;
    }
    friend mint operator/(const mint &lhs, const mint &rhs) {
        return mint(lhs) /= rhs;
    }
    friend bool operator==(const mint &lhs, const mint &rhs) {
        return lhs._v == rhs._v;
    }
    friend bool operator!=(const mint &lhs, const mint &rhs) {
        return lhs._v != rhs._v;
    }

  private:
    unsigned int _v;
    static internal::barrett bt;
    static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;

using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;

namespace internal {

template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;

template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;

template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};

template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;

} // namespace internal

} // namespace atcoder

using Z = atcoder::modint998244353;

// #define int i64
void solve() {
    int n; cin >> n;
    vector<int> a(n);
    for (int i = 0; i < n; i++) cin >> a[i];
    Z ans = 0;
    // knapsack
    vector dp(n + 1, vector<Z>(n * 100 + 1, 0));
    dp[0][0] = 1;
    int sum = 0;
    for (int i = 0; i < n; i++) {
        sum += a[i];
        for (int c = i; c >= 0; c--) {
            for (int s = a[i]; s <= sum; s++) {
                dp[c + 1][s] += dp[c][s - a[i]];
            }
        }
    }
    if (sum % 2) {
        cout << 0 << "\n";
        return;
    }
    vector<Z> fact(n + 1, 1);
    for (int i = 1; i <= n; i++)
        fact[i] = fact[i - 1] * i;
    for (int c = 1; c < n; c++) {
        Z cnt = dp[c][sum / 2];
        ans += cnt * fact[c] * fact[n - c];
    }
    cout << ans.val() << "\n";
}
#undef int

// Make bold hypotheses and verify carefully
int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int t = 1;
    // cin >> t;
    while (t--) {
        solve();
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3488kb

input:

3
4 9 5

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

2
100 100

output:

2

result:

ok "2"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

8
3 2 6 3 1 2 4 5

output:

11520

result:

ok "11520"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3760kb

input:

2
93 93

output:

2

result:

ok "2"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

2
62 45

output:

0

result:

ok "0"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

3
32 68 36

output:

4

result:

ok "4"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

3
27 2 25

output:

4

result:

ok "4"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

10
38 27 36 88 77 25 73 44 11 21

output:

126720

result:

ok "126720"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

10
93 78 29 81 14 20 18 71 85 48

output:

0

result:

ok "0"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

9
57 19 88 13 55 43 27 10 74

output:

5760

result:

ok "5760"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

10
80 1 44 85 32 85 3 4 80 45

output:

0

result:

ok "0"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

10
56 72 93 39 70 78 3 10 84 48

output:

0

result:

ok "0"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

10
2 58 36 81 100 85 11 39 24 50

output:

118080

result:

ok "118080"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

10
70 23 3 26 98 18 63 32 22 25

output:

158400

result:

ok "158400"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

10
42 92 12 71 85 68 78 89 98 30

output:

0

result:

ok "0"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3576kb

input:

10
26 5 25 35 77 46 81 13 73 32

output:

0

result:

ok "0"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

10
37 43 7 51 89 86 84 26 28 15

output:

103680

result:

ok "103680"

Test #18:

score: 0
Accepted
time: 4ms
memory: 4424kb

input:

58
84 96 24 20 3 10 27 57 98 49 32 52 67 18 100 6 100 4 4 88 24 77 75 95 18 83 58 75 71 99 18 53 68 65 76 37 51 19 65 63 28 59 84 59 80 73 83 41 96 30 96 5 13 56 92 84 30 72

output:

670239800

result:

ok "670239800"

Test #19:

score: 0
Accepted
time: 2ms
memory: 3832kb

input:

46
56 33 63 4 25 2 42 41 58 22 98 76 53 94 52 69 40 1 56 43 41 56 40 65 81 91 89 68 36 78 38 14 84 77 28 27 76 8 62 54 15 11 15 52 68 87

output:

0

result:

ok "0"

Test #20:

score: 0
Accepted
time: 0ms
memory: 4432kb

input:

55
55 49 60 49 90 95 61 61 9 5 81 63 6 70 52 64 14 87 18 87 35 19 97 20 70 11 73 48 69 19 55 23 3 73 34 68 45 30 66 37 97 75 71 8 42 91 15 63 86 63 92 48 11 53 3

output:

0

result:

ok "0"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3956kb

input:

44
10 24 66 44 89 40 47 89 87 62 30 32 95 65 81 52 10 66 25 81 19 21 35 18 49 84 60 18 87 69 19 31 38 29 53 60 73 49 71 95 48 13 48 99

output:

0

result:

ok "0"

Test #22:

score: 0
Accepted
time: 2ms
memory: 4612kb

input:

61
39 96 26 73 57 39 47 84 15 54 33 83 52 37 66 66 99 21 29 17 51 74 38 43 71 83 41 86 38 96 12 55 77 70 47 76 28 78 15 40 41 4 12 62 91 5 50 87 71 42 15 67 91 88 54 31 67 90 2 15 50

output:

0

result:

ok "0"

Test #23:

score: 0
Accepted
time: 6ms
memory: 4952kb

input:

69
32 71 20 89 72 81 99 62 46 44 96 33 84 99 16 32 14 10 52 46 3 9 9 41 84 50 14 56 12 15 79 68 72 90 53 54 96 3 100 58 12 74 93 14 8 28 76 86 19 87 92 23 86 93 5 22 15 87 72 92 2 74 58 2 89 43 11 58 11

output:

297754781

result:

ok "297754781"

Test #24:

score: 0
Accepted
time: 3ms
memory: 4368kb

input:

54
50 84 44 63 83 28 48 97 13 75 41 70 2 6 35 95 6 61 77 93 56 84 32 5 83 51 82 71 39 35 38 96 48 35 89 52 49 4 5 50 55 53 86 92 3 17 9 76 9 54 1 67 74 21

output:

715843927

result:

ok "715843927"

Test #25:

score: 0
Accepted
time: 4ms
memory: 4756kb

input:

60
14 27 76 29 43 86 85 61 58 38 59 66 63 99 43 43 38 63 25 82 54 58 39 13 43 81 27 90 51 67 23 56 46 26 11 90 57 39 1 5 97 14 54 78 77 25 77 94 15 56 30 44 71 32 88 2 94 16 23 40

output:

959316858

result:

ok "959316858"

Test #26:

score: 0
Accepted
time: 4ms
memory: 4372kb

input:

56
62 53 6 12 17 99 84 81 68 95 67 68 9 38 11 9 68 100 6 57 37 68 16 27 48 98 26 73 64 60 19 3 98 31 79 34 22 41 24 25 60 3 60 16 75 48 45 78 73 10 89 75 72 71 78 23

output:

0

result:

ok "0"

Test #27:

score: 0
Accepted
time: 15ms
memory: 6508kb

input:

92
84 6 82 67 94 28 67 17 58 88 80 30 74 85 17 49 76 73 15 72 77 79 74 35 64 16 61 54 38 25 68 76 91 11 83 28 58 47 39 44 2 92 68 83 23 83 95 28 78 44 62 95 62 43 31 38 50 38 25 93 19 40 79 72 56 59 9 25 24 67 20 2 25 28 49 60 30 45 10 36 90 73 67 94 20 38 71 89 68 32 56 70

output:

338893764

result:

ok "338893764"

Test #28:

score: 0
Accepted
time: 3ms
memory: 6988kb

input:

100
4 2 4 2 3 4 2 4 2 1 3 1 2 1 2 2 3 2 1 2 1 2 1 2 4 4 4 1 3 2 2 2 3 1 2 3 4 1 2 3 3 2 1 1 3 3 3 1 2 2 1 2 1 3 4 3 3 2 2 4 4 1 2 3 3 4 4 1 4 2 3 4 4 2 3 3 2 2 3 2 3 1 4 1 3 2 3 4 2 2 1 1 2 2 1 3 2 3 4 2

output:

572766636

result:

ok "572766636"

Test #29:

score: 0
Accepted
time: 3ms
memory: 7056kb

input:

100
1 1 1 1 2 4 2 1 4 3 2 2 2 4 2 2 1 1 2 1 3 1 1 4 3 4 4 3 1 3 1 2 4 3 4 3 4 3 1 4 3 1 3 1 2 2 1 1 2 1 3 4 3 4 2 3 1 1 4 4 4 1 3 2 3 4 4 4 2 3 3 2 4 1 1 3 4 4 3 2 2 2 1 4 3 2 3 4 1 1 3 2 4 2 4 1 1 1 4 3

output:

165206805

result:

ok "165206805"

Test #30:

score: 0
Accepted
time: 0ms
memory: 7008kb

input:

100
2 4 1 3 4 2 2 4 1 2 4 3 1 1 4 1 4 1 4 3 2 4 3 2 2 4 4 4 3 2 1 1 1 4 3 1 4 4 1 3 3 1 4 4 3 2 2 1 3 3 4 1 1 4 3 1 2 4 1 2 1 4 4 4 1 3 1 3 2 1 3 2 3 2 2 2 2 4 4 3 3 4 1 4 4 4 3 4 3 1 2 2 2 2 2 4 1 3 3 2

output:

76147012

result:

ok "76147012"

Test #31:

score: 0
Accepted
time: 0ms
memory: 7052kb

input:

99
3 3 3 2 3 4 3 3 3 1 2 2 1 3 4 2 2 3 2 2 4 3 3 4 3 3 3 3 3 4 2 1 2 1 2 2 3 4 3 4 1 3 4 3 4 3 1 4 3 2 3 3 2 3 3 2 2 2 4 1 3 1 2 3 1 1 4 4 4 2 4 1 4 4 4 2 4 3 2 3 2 4 2 2 1 3 1 4 4 1 2 1 2 1 2 4 3 2 2

output:

366402822

result:

ok "366402822"

Test #32:

score: 0
Accepted
time: 3ms
memory: 6956kb

input:

99
3 1 4 1 1 1 4 4 2 1 2 3 4 2 3 1 4 2 1 2 2 4 3 3 3 1 2 4 3 3 1 1 1 1 2 4 1 4 3 3 1 1 4 2 3 4 3 3 2 2 4 4 4 1 1 1 1 1 3 3 3 1 4 4 1 4 1 1 4 1 3 1 4 1 1 3 2 4 3 2 1 1 1 4 3 4 2 3 3 4 1 2 1 2 3 4 3 1 2

output:

597470544

result:

ok "597470544"

Test #33:

score: 0
Accepted
time: 3ms
memory: 6992kb

input:

99
4 4 4 3 1 3 1 1 2 3 1 2 4 3 2 4 3 4 4 3 3 3 4 4 4 3 4 1 4 2 4 3 2 4 4 3 2 1 1 4 2 2 3 3 1 1 2 1 2 3 3 4 1 1 4 1 4 3 1 2 1 3 4 2 2 4 2 4 4 2 1 4 4 2 1 3 3 3 3 4 4 2 1 2 2 3 2 3 4 4 4 3 2 1 3 2 3 2 1

output:

302222618

result:

ok "302222618"

Test #34:

score: 0
Accepted
time: 10ms
memory: 7108kb

input:

99
90 96 38 36 93 81 38 52 90 17 58 25 29 28 63 33 67 32 59 87 71 88 8 10 80 66 50 38 59 7 86 91 37 82 68 70 75 14 60 67 24 16 42 29 19 61 8 72 53 13 84 98 69 23 80 85 77 88 13 78 50 81 79 57 3 29 19 17 36 4 18 58 28 49 23 77 5 2 71 24 90 57 99 42 21 27 40 18 73 55 25 7 59 79 27 63 85 56 20

output:

219088716

result:

ok "219088716"

Test #35:

score: 0
Accepted
time: 17ms
memory: 7000kb

input:

99
51 94 96 4 71 49 53 99 35 22 97 78 91 33 15 72 54 27 91 95 12 5 79 4 50 28 43 42 19 67 41 60 35 35 97 45 24 62 66 45 5 82 2 33 83 3 79 32 13 47 84 59 91 47 72 48 33 88 80 8 84 14 72 97 41 91 96 56 94 41 31 56 27 36 44 53 46 20 65 98 80 49 13 3 14 53 71 81 9 92 92 51 19 17 31 15 23 70 80

output:

918199689

result:

ok "918199689"

Test #36:

score: 0
Accepted
time: 16ms
memory: 7008kb

input:

99
33 61 30 2 85 2 27 35 64 47 53 94 63 87 58 47 75 35 88 45 100 45 45 33 52 10 26 91 3 48 9 94 68 39 20 45 65 33 31 8 97 12 10 93 44 2 9 62 43 100 98 2 50 61 31 63 5 43 39 55 4 71 9 73 76 14 33 59 36 81 20 60 34 35 61 53 4 34 94 32 97 47 3 46 26 24 7 43 68 44 73 11 83 26 85 53 38 99 73

output:

914166196

result:

ok "914166196"

Test #37:

score: 0
Accepted
time: 17ms
memory: 7128kb

input:

99
84 40 73 93 91 15 94 18 83 43 49 48 71 29 79 18 21 64 46 35 22 20 21 57 75 59 29 52 55 4 6 49 33 75 59 92 52 22 40 64 96 100 62 24 16 70 79 80 71 30 72 63 55 90 63 40 34 48 69 48 43 47 94 71 46 32 15 43 12 71 86 73 71 22 83 89 88 55 54 44 63 60 28 59 71 74 28 3 9 79 83 44 20 5 13 18 75 7 95

output:

0

result:

ok "0"

Test #38:

score: 0
Accepted
time: 12ms
memory: 7000kb

input:

99
54 36 52 35 13 33 92 99 77 54 76 3 21 92 84 72 20 60 35 22 6 20 25 89 85 61 33 15 31 16 65 81 79 93 26 54 28 97 16 14 4 5 77 58 42 15 94 21 31 50 45 15 72 38 86 96 34 28 21 54 37 82 100 50 53 66 67 1 13 23 57 27 11 57 72 8 30 97 38 2 14 47 45 98 48 24 100 86 64 37 87 82 74 89 29 94 76 25 39

output:

0

result:

ok "0"

Test #39:

score: 0
Accepted
time: 11ms
memory: 6984kb

input:

100
38 3 61 14 72 10 96 24 28 77 34 78 5 21 11 16 18 29 17 39 25 56 63 84 82 8 30 26 17 40 37 62 15 100 58 92 44 3 71 28 13 72 70 11 75 13 58 98 72 8 24 51 8 20 89 44 2 23 99 73 65 26 57 22 59 70 19 35 33 22 26 80 29 1 76 9 28 69 6 11 5 28 77 97 49 50 62 84 45 4 99 19 55 68 28 40 51 86 5 91

output:

0

result:

ok "0"

Test #40:

score: 0
Accepted
time: 16ms
memory: 6960kb

input:

100
12 11 4 4 75 79 94 99 26 48 38 96 98 62 70 81 50 24 53 47 12 46 34 71 42 89 55 14 9 59 75 17 11 99 11 4 23 23 30 68 35 20 67 15 57 98 65 33 18 36 93 81 49 4 4 53 33 4 68 2 35 81 12 11 43 55 92 60 60 56 29 99 82 48 92 54 1 39 14 71 33 3 94 84 31 15 99 72 28 30 85 35 26 67 59 34 49 11 66 82

output:

0

result:

ok "0"

Test #41:

score: 0
Accepted
time: 19ms
memory: 6972kb

input:

100
91 60 71 71 66 94 35 70 5 38 2 47 99 8 44 87 73 39 54 56 58 66 93 54 63 47 71 35 70 13 66 88 8 88 40 71 80 15 57 29 76 58 96 59 39 97 43 10 79 61 40 67 71 15 33 13 8 87 87 52 71 82 94 60 83 84 23 96 75 86 4 32 40 5 97 78 45 100 32 82 33 60 28 98 36 24 93 78 25 63 90 89 40 27 51 65 100 9 92 95

output:

858791620

result:

ok "858791620"

Test #42:

score: 0
Accepted
time: 15ms
memory: 7112kb

input:

100
52 38 75 88 35 46 11 73 78 34 82 69 24 72 52 88 99 57 94 10 26 61 10 95 49 8 83 61 88 20 44 97 52 9 70 55 48 63 60 84 96 21 43 13 39 30 39 94 53 36 86 13 45 25 89 5 100 91 95 49 82 2 30 86 82 26 9 48 23 35 71 97 66 90 82 65 4 32 48 45 98 91 46 93 58 35 42 25 28 27 94 45 60 1 77 83 74 37 62 47

output:

738427555

result:

ok "738427555"

Test #43:

score: 0
Accepted
time: 18ms
memory: 6980kb

input:

100
66 65 14 59 31 92 57 54 15 53 87 60 92 75 43 32 98 63 15 97 79 15 68 54 9 92 82 2 62 100 18 95 96 22 35 89 88 4 11 49 68 63 29 22 5 66 16 46 34 66 44 30 24 28 84 80 87 17 2 44 92 36 75 95 49 86 86 52 56 49 95 57 43 43 82 84 19 70 74 37 5 70 33 50 16 84 90 25 7 68 75 62 59 4 7 54 45 28 49 66

output:

699293570

result:

ok "699293570"

Test #44:

score: 0
Accepted
time: 3ms
memory: 6992kb

input:

100
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

output:

35305197

result:

ok "35305197"

Test #45:

score: 0
Accepted
time: 15ms
memory: 7108kb

input:

99
33 47 61 23 17 22 65 2 57 75 32 72 54 20 59 21 5 53 31 51 50 3 62 44 66 82 71 75 74 72 78 43 34 6 64 30 17 4 48 85 52 49 36 41 79 68 44 45 39 63 63 70 16 84 24 84 18 14 12 28 15 67 37 34 76 46 5 14 60 10 13 80 81 8 58 73 27 84 26 40 19 56 42 7 55 75 11 35 25 83 19 81 38 8 77 69 9 29 59

output:

905104398

result:

ok "905104398"

Test #46:

score: 0
Accepted
time: 15ms
memory: 6988kb

input:

99
67 24 58 28 1 51 46 63 17 38 7 60 29 13 40 57 71 82 86 6 19 5 12 70 55 22 66 44 53 27 59 65 2 32 88 50 69 18 1 48 43 9 74 45 33 31 60 23 34 52 8 76 77 79 16 11 49 87 54 30 15 4 42 83 20 88 36 64 85 25 78 85 88 47 48 61 26 73 14 39 14 56 10 81 21 68 14 37 66 72 75 3 80 35 41 23 62 27 84

output:

312550131

result:

ok "312550131"

Test #47:

score: 0
Accepted
time: 9ms
memory: 7004kb

input:

100
25 26 19 32 5 3 24 55 35 58 76 43 17 29 77 5 43 73 45 21 65 4 7 62 37 54 37 44 14 21 63 49 66 14 53 50 13 57 41 63 6 17 27 23 9 11 12 77 60 1 42 46 52 56 8 8 30 18 9 63 48 22 10 36 77 52 79 78 70 34 37 51 69 72 33 75 59 62 74 47 68 31 14 16 61 71 28 38 39 64 20 23 23 9 2 7 40 67 35 15

output:

513464322

result:

ok "513464322"

Test #48:

score: 0
Accepted
time: 13ms
memory: 7136kb

input:

100
22 40 75 44 53 17 48 76 38 36 82 72 10 63 50 70 46 52 60 37 42 26 56 51 66 35 21 9 80 49 70 65 31 82 73 32 23 5 67 39 47 65 62 71 77 83 61 81 11 62 54 41 8 24 14 42 16 7 19 60 27 59 43 12 78 58 45 6 34 62 13 64 25 68 74 29 84 3 18 15 20 58 69 30 83 33 2 55 6 57 82 80 4 79 28 19 30 19 73 82

output:

294800349

result:

ok "294800349"

Test #49:

score: 0
Accepted
time: 28ms
memory: 6992kb

input:

100
100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 ...

output:

35305197

result:

ok "35305197"

Test #50:

score: 0
Accepted
time: 17ms
memory: 7036kb

input:

100
92 79 24 69 100 10 38 53 3 21 73 32 7 27 37 28 49 51 86 91 77 89 5 55 19 81 47 65 57 44 72 50 6 64 11 29 83 60 74 87 36 15 68 93 62 12 34 4 43 80 42 56 78 1 9 70 88 66 18 20 17 94 33 39 99 46 95 35 31 90 2 98 84 82 59 97 85 45 52 8 63 48 25 16 41 76 54 23 13 61 14 58 75 30 40 26 67 71 96 22

output:

854040496

result:

ok "854040496"

Test #51:

score: 0
Accepted
time: 28ms
memory: 6984kb

input:

100
100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 ...

output:

0

result:

ok "0"

Test #52:

score: 0
Accepted
time: 31ms
memory: 7064kb

input:

100
97 100 99 99 95 98 99 99 97 97 100 97 97 96 98 96 97 95 95 96 95 99 99 99 95 97 99 100 95 97 99 97 95 96 98 95 98 97 98 99 96 97 97 95 100 99 98 100 100 100 95 95 97 99 100 95 97 100 100 95 99 96 95 95 95 97 99 95 100 98 95 98 98 100 98 96 97 100 99 100 99 95 99 97 98 100 100 99 96 98 95 100 97 ...

output:

640494053

result:

ok "640494053"

Test #53:

score: 0
Accepted
time: 27ms
memory: 7016kb

input:

100
100 100 95 95 98 98 100 96 99 95 99 96 97 100 98 99 96 99 97 98 96 96 95 98 97 97 99 98 100 95 97 97 100 98 99 100 98 99 97 96 99 98 100 98 95 96 99 99 97 96 99 100 98 99 97 95 100 97 99 96 98 98 95 96 97 95 98 99 99 96 97 96 98 96 100 98 96 97 97 95 97 100 99 99 100 98 98 96 95 97 100 100 99 97...

output:

525329040

result:

ok "525329040"

Extra Test:

score: 0
Extra Test Passed