QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#760408#9627. 算术Ail_ijyqAC ✓1ms3800kbC++206.6kb2024-11-18 16:50:302024-11-18 16:51:01

Judging History

你现在查看的是最新测评结果

  • [2024-11-18 16:51:01]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3800kb
  • [2024-11-18 16:50:30]
  • 提交

answer

#include<bits/stdc++.h>

#define endl "\n"
// #define int long long

using namespace std;

using i64 = long long;
using u64 = unsigned long long;

constexpr int N = 5e5 + 10, M = 20;
constexpr int P = 998244353;
constexpr int INF = 1e9;


/**   取模类(MLong & MInt 新版)
 *    2023-08-14: https://ac.nowcoder.com/acm/contest/view-submission?submissionId=63433564
 *
 *    根据输入内容动态修改 MOD 的方法:Z::setMod(p) 。
**/
template<class T>
constexpr T power(T a, i64 b) {
    T res = 1;
    for (; b; b /= 2, a *= a) {
        if (b % 2) {
            res *= a;
        }
    }
    return res;
}

constexpr i64 mul(i64 a, i64 b, i64 p) {
    i64 res = a * b - i64(1.L * a * b / p) * p;
    res %= p;
    if (res < 0) {
        res += p;
    }
    return res;
}
template<i64 P>
struct MLong {
    i64 x;
    constexpr MLong() : x{} {}
    constexpr MLong(i64 x) : x{norm(x % getMod())} {}

    static i64 Mod;
    constexpr static i64 getMod() {
        if (P > 0) {
            return P;
        } else {
            return Mod;
        }
    }
    constexpr static void setMod(i64 Mod_) {
        Mod = Mod_;
    }
    constexpr i64 norm(i64 x) const {
        if (x < 0) {
            x += getMod();
        }
        if (x >= getMod()) {
            x -= getMod();
        }
        return x;
    }
    constexpr i64 val() const {
        return x;
    }
    explicit constexpr operator i64() const {
        return x;
    }
    constexpr MLong operator-() const {
        MLong res;
        res.x = norm(getMod() - x);
        return res;
    }
    constexpr MLong inv() const {
        assert(x != 0);
        return power(*this, getMod() - 2);
    }
    constexpr MLong &operator*=(MLong rhs) & {
        x = mul(x, rhs.x, getMod());
        return *this;
    }
    constexpr MLong &operator+=(MLong rhs) & {
        x = norm(x + rhs.x);
        return *this;
    }
    constexpr MLong &operator-=(MLong rhs) & {
        x = norm(x - rhs.x);
        return *this;
    }
    constexpr MLong &operator/=(MLong rhs) & {
        return *this *= rhs.inv();
    }
    friend constexpr MLong operator*(MLong lhs, MLong rhs) {
        MLong res = lhs;
        res *= rhs;
        return res;
    }
    friend constexpr MLong operator+(MLong lhs, MLong rhs) {
        MLong res = lhs;
        res += rhs;
        return res;
    }
    friend constexpr MLong operator-(MLong lhs, MLong rhs) {
        MLong res = lhs;
        res -= rhs;
        return res;
    }
    friend constexpr MLong operator/(MLong lhs, MLong rhs) {
        MLong res = lhs;
        res /= rhs;
        return res;
    }
    friend constexpr std::istream &operator>>(std::istream &is, MLong &a) {
        i64 v;
        is >> v;
        a = MLong(v);
        return is;
    }
    friend constexpr std::ostream &operator<<(std::ostream &os, const MLong &a) {
        return os << a.val();
    }
    friend constexpr bool operator==(MLong lhs, MLong rhs) {
        return lhs.val() == rhs.val();
    }
    friend constexpr bool operator!=(MLong lhs, MLong rhs) {
        return lhs.val() != rhs.val();
    }
};

template<>
i64 MLong<0LL>::Mod = i64(1E18) + 9;

template<int P>
struct MInt {
    int x;
    constexpr MInt() : x{} {}
    constexpr MInt(i64 x) : x{norm(x % getMod())} {}

    static int Mod;
    constexpr static int getMod() {
        if (P > 0) {
            return P;
        } else {
            return Mod;
        }
    }
    constexpr static void setMod(int Mod_) {
        Mod = Mod_;
    }
    constexpr int norm(int x) const {
        if (x < 0) {
            x += getMod();
        }
        if (x >= getMod()) {
            x -= getMod();
        }
        return x;
    }
    constexpr int val() const {
        return x;
    }
    explicit constexpr operator int() const {
        return x;
    }
    constexpr MInt operator-() const {
        MInt res;
        res.x = norm(getMod() - x);
        return res;
    }
    constexpr MInt inv() const {
        assert(x != 0);
        return power(*this, getMod() - 2);
    }
    constexpr MInt &operator*=(MInt rhs) & {
        x = 1LL * x * rhs.x % getMod();
        return *this;
    }
    constexpr MInt &operator+=(MInt rhs) & {
        x = norm(x + rhs.x);
        return *this;
    }
    constexpr MInt &operator-=(MInt rhs) & {
        x = norm(x - rhs.x);
        return *this;
    }
    constexpr MInt &operator/=(MInt rhs) & {
        return *this *= rhs.inv();
    }
    friend constexpr MInt operator*(MInt lhs, MInt rhs) {
        MInt res = lhs;
        res *= rhs;
        return res;
    }
    friend constexpr MInt operator+(MInt lhs, MInt rhs) {
        MInt res = lhs;
        res += rhs;
        return res;
    }
    friend constexpr MInt operator-(MInt lhs, MInt rhs) {
        MInt res = lhs;
        res -= rhs;
        return res;
    }
    friend constexpr MInt operator/(MInt lhs, MInt rhs) {
        MInt res = lhs;
        res /= rhs;
        return res;
    }
    friend constexpr std::istream &operator>>(std::istream &is, MInt &a) {
        i64 v;
        is >> v;
        a = MInt(v);
        return is;
    }
    friend constexpr std::ostream &operator<<(std::ostream &os, const MInt &a) {
        return os << a.val();
    }
    friend constexpr bool operator==(MInt lhs, MInt rhs) {
        return lhs.val() == rhs.val();
    }
    friend constexpr bool operator!=(MInt lhs, MInt rhs) {
        return lhs.val() != rhs.val();
    }
};

template<>
int MInt<0>::Mod = 998244353;

template<int V, int P>
constexpr MInt<P> CInv = MInt<P>(V).inv();

using Z = MInt<P>;

void solve() {
    vector<int> a(11, 0);
    for (int i = 1; i < 10; i++) {
        cin >> a[i];
    }
    int val;
    a[2] -= (val = min(a[1], a[2]));
    a[1] -= val;
    a[3] += val;
    a[3] += (val = a[1] / 3);
    a[1] -= val * 3;
    a[2] += (val = a[1] / 2);
    a[1] -= val * 2;
    for (int i = 2; i < 10; i++) {
        if (a[i] && a[1]) {
            a[i]--;
            a[i + 1]++;
            break;
        }
    }
    Z ans = 1;
    for (int i = 1; i <= 10; i++) {
        ans *= power(Z(i), a[i]);
    }
    cout << ans << endl;
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    int T;
    cin >> T;
    while (T--) {
        solve();
    }
}
/*
7
5 3 0 0 0 0 0 0 0
4 1 1 1 0 0 0 0 0
1 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 2
99 88 77 66 55 44 33 22 11
100 90 80 70 60 50 40 30 20
*/

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3640kb

input:

7
5 3 0 0 0 0 0 0 0
4 1 1 1 0 0 0 0 0
1 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 2
99 88 77 66 55 44 33 22 11
100 90 80 70 60 50 40 30 20

output:

54
108
1
10
90
90553232
143532368

result:

ok 7 lines

Test #2:

score: 0
Accepted
time: 1ms
memory: 3576kb

input:

1000
22 80 50 23 35 71 81 70 96
40 33 36 2 51 52 96 5 32
56 35 85 13 58 80 26 14 31
60 21 8 19 79 5 94 44 33
85 55 10 59 76 98 28 22 69
14 72 40 14 100 68 5 18 69
95 42 51 0 32 97 37 34 85
54 33 18 40 34 10 72 72 68
81 47 80 23 23 68 40 3 71
58 7 36 79 89 83 5 68 16
30 3 82 79 35 28 30 55 88
17 86 2...

output:

376701872
321820208
765709043
819408880
639261805
521201354
7172464
780360907
240853384
151457742
298466126
416189734
124742738
161566750
493291429
481038778
409158325
951979430
783007793
438976523
440485591
163247072
78098984
275527515
308024444
168349368
423889166
168234582
827159852
914298923
465...

result:

ok 1000 lines

Test #3:

score: 0
Accepted
time: 1ms
memory: 3800kb

input:

1000
1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 1
2 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0
1 0 1 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0
1 0 0 0 1 0 0 0 0
1 0 0 0 0 1 0 0 0
1 0 0 0 0 0 1 0 0
1 0 0 0...

output:

1
2
3
4
5
6
7
8
9
2
3
4
5
6
7
8
9
10
4
6
8
10
12
14
16
18
9
12
15
18
21
24
27
16
20
24
28
32
36
25
30
35
40
45
36
42
48
54
49
56
63
64
72
81
53234520
78732
944784
17744840
53234520
688747536
141958720
19131876
4374
9726857
668738521
35489680
11664
79851780
8748
104630853
551437603
234594227
96996101...

result:

ok 1000 lines