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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#100049#6323. Range NEQtikhon#AC ✓311ms27732kbC++172.4kb2023-04-24 15:39:232023-04-24 15:39:27

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-04-24 15:39:27]
  • 评测
  • 测评结果:AC
  • 用时:311ms
  • 内存:27732kb
  • [2023-04-24 15:39:23]
  • 提交

answer

#include<bits/stdc++.h>

using namespace std;
#define ll long long
#define pii pair<int, int>
#define ld long double
#define all(a) (a).begin(), (a).end()

#define int int64_t

const int MOD = 998244353;
const int G1 = 31;
const int G2 = 128805723;

int pw(int x, int n) {
    int res = 1;
    while (n) {
        if (n % 2 == 0) {
            x = (x * x) % MOD;
            n /= 2;
        } else {
            res = (res * x) % MOD;
            n--;
        }
    }
    return res;
}

void fft(vector<int>& a, bool inv = false) {
    int k = 0;
    while ((1 << k) < (int)a.size()) ++k;
    int n = a.size();
    for (int i = 0; i < n; ++i) {
        int j = 0;
        for (int l = 0; l < k; ++l) {
            if (i & (1 << l)) {
                j |= (1 << (k - l - 1));
            }
        }
        if (i < j) {
            swap(a[i], a[j]);
        }
    }
    for (int l = 1; l < n; l *= 2) {
        int w_n = pw(inv ? G2 : G1, (MOD - 1) / 2 / l);
        for (int i = 0; i < n; i += 2 * l) {
            int w = 1;
            for (int j = 0; j < l; ++j) {
                int x = a[i + j], y = (a[i + j + l] * w) % MOD;
                a[i + j] = (x + y) % MOD;
                a[i + j + l] = (x - y + MOD) % MOD;
                w = (w * w_n) % MOD;
            }
        }
    }
    if (inv) {
        int div = pw(n, MOD - 2);
        for (int i = 0; i < n; ++i) {
            a[i] = (a[i] * div) % MOD;
        }
    }
}

const int MAXN = (1 << 20);
int fact[MAXN], invf[MAXN];

signed main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    fact[0] = 1;
    for (int i = 1; i < MAXN; ++i) {
        fact[i] = (fact[i - 1] * i) % MOD;
    }
    invf[MAXN - 1] = pw(fact[MAXN - 1], MOD - 2);
    for (int i = MAXN - 1; i > 0; --i) {
        invf[i - 1] = (invf[i] * i) % MOD;
    }

    int n, m;
    cin >> n >> m;
    vector<int> arr(m + 1);
    for (int i = 0; i <= m; ++i) {
        arr[i] = (invf[m - i] * invf[m - i]) % MOD;
        arr[i] = (arr[i] * invf[i]) % MOD;
    }
    arr.resize(MAXN);
    fft(arr);
    for (int& x : arr) {
        x = pw(x, n);
    }
    fft(arr, true);
    int ans = 0;
    int sgn = 1;
    for (int sum = 0; sum <= n * m; ++sum, sgn *= -1) {
        ans += sgn * fact[n * m - sum] * arr[sum];
        ans %= MOD;
    }
    ans = (ans % MOD + MOD) % MOD;
    ans = (ans * pw(fact[m], 2 * n)) % MOD;
    cout << ans << endl;


    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 260ms
memory: 27608kb

input:

2 2

output:

4

result:

ok 1 number(s): "4"

Test #2:

score: 0
Accepted
time: 263ms
memory: 27652kb

input:

5 1

output:

44

result:

ok 1 number(s): "44"

Test #3:

score: 0
Accepted
time: 277ms
memory: 27588kb

input:

167 91

output:

284830080

result:

ok 1 number(s): "284830080"

Test #4:

score: 0
Accepted
time: 260ms
memory: 27728kb

input:

2 1

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 260ms
memory: 27728kb

input:

2 3

output:

36

result:

ok 1 number(s): "36"

Test #6:

score: 0
Accepted
time: 240ms
memory: 27728kb

input:

2 4

output:

576

result:

ok 1 number(s): "576"

Test #7:

score: 0
Accepted
time: 246ms
memory: 27604kb

input:

3 1

output:

2

result:

ok 1 number(s): "2"

Test #8:

score: 0
Accepted
time: 244ms
memory: 27660kb

input:

3 2

output:

80

result:

ok 1 number(s): "80"

Test #9:

score: 0
Accepted
time: 249ms
memory: 27668kb

input:

3 3

output:

12096

result:

ok 1 number(s): "12096"

Test #10:

score: 0
Accepted
time: 265ms
memory: 27668kb

input:

3 4

output:

4783104

result:

ok 1 number(s): "4783104"

Test #11:

score: 0
Accepted
time: 261ms
memory: 27600kb

input:

4 1

output:

9

result:

ok 1 number(s): "9"

Test #12:

score: 0
Accepted
time: 249ms
memory: 27628kb

input:

4 2

output:

4752

result:

ok 1 number(s): "4752"

Test #13:

score: 0
Accepted
time: 245ms
memory: 27632kb

input:

4 3

output:

17927568

result:

ok 1 number(s): "17927568"

Test #14:

score: 0
Accepted
time: 275ms
memory: 27608kb

input:

4 4

output:

776703752

result:

ok 1 number(s): "776703752"

Test #15:

score: 0
Accepted
time: 275ms
memory: 27592kb

input:

5 2

output:

440192

result:

ok 1 number(s): "440192"

Test #16:

score: 0
Accepted
time: 253ms
memory: 27584kb

input:

5 3

output:

189125068

result:

ok 1 number(s): "189125068"

Test #17:

score: 0
Accepted
time: 264ms
memory: 27596kb

input:

5 4

output:

975434093

result:

ok 1 number(s): "975434093"

Test #18:

score: 0
Accepted
time: 311ms
memory: 27728kb

input:

1000 1000

output:

720037464

result:

ok 1 number(s): "720037464"

Test #19:

score: 0
Accepted
time: 289ms
memory: 27568kb

input:

72 42

output:

638177567

result:

ok 1 number(s): "638177567"

Test #20:

score: 0
Accepted
time: 296ms
memory: 27604kb

input:

15 19

output:

663050288

result:

ok 1 number(s): "663050288"

Test #21:

score: 0
Accepted
time: 278ms
memory: 27588kb

input:

68 89

output:

94365047

result:

ok 1 number(s): "94365047"

Test #22:

score: 0
Accepted
time: 262ms
memory: 27604kb

input:

92 37

output:

652605307

result:

ok 1 number(s): "652605307"

Test #23:

score: 0
Accepted
time: 269ms
memory: 27732kb

input:

61 87

output:

498277867

result:

ok 1 number(s): "498277867"

Test #24:

score: 0
Accepted
time: 290ms
memory: 27588kb

input:

81 40

output:

133095344

result:

ok 1 number(s): "133095344"

Test #25:

score: 0
Accepted
time: 259ms
memory: 27660kb

input:

7 91

output:

524164813

result:

ok 1 number(s): "524164813"

Test #26:

score: 0
Accepted
time: 272ms
memory: 27648kb

input:

31 18

output:

361233485

result:

ok 1 number(s): "361233485"

Test #27:

score: 0
Accepted
time: 257ms
memory: 27660kb

input:

74 54

output:

500686087

result:

ok 1 number(s): "500686087"

Test #28:

score: 0
Accepted
time: 240ms
memory: 27596kb

input:

32 2

output:

586504335

result:

ok 1 number(s): "586504335"

Test #29:

score: 0
Accepted
time: 258ms
memory: 27600kb

input:

656 718

output:

346764298

result:

ok 1 number(s): "346764298"

Test #30:

score: 0
Accepted
time: 269ms
memory: 27628kb

input:

254 689

output:

358078813

result:

ok 1 number(s): "358078813"

Test #31:

score: 0
Accepted
time: 289ms
memory: 27628kb

input:

713 674

output:

914437613

result:

ok 1 number(s): "914437613"

Test #32:

score: 0
Accepted
time: 248ms
memory: 27592kb

input:

136 698

output:

56687290

result:

ok 1 number(s): "56687290"

Test #33:

score: 0
Accepted
time: 266ms
memory: 27660kb

input:

369 401

output:

312325811

result:

ok 1 number(s): "312325811"

Test #34:

score: 0
Accepted
time: 275ms
memory: 27596kb

input:

280 204

output:

280012063

result:

ok 1 number(s): "280012063"

Test #35:

score: 0
Accepted
time: 252ms
memory: 27556kb

input:

904 225

output:

162909174

result:

ok 1 number(s): "162909174"

Test #36:

score: 0
Accepted
time: 260ms
memory: 27592kb

input:

855 928

output:

39885159

result:

ok 1 number(s): "39885159"

Test #37:

score: 0
Accepted
time: 279ms
memory: 27612kb

input:

503 365

output:

745115888

result:

ok 1 number(s): "745115888"

Test #38:

score: 0
Accepted
time: 270ms
memory: 27580kb

input:

646 996

output:

610925577

result:

ok 1 number(s): "610925577"

Test #39:

score: 0
Accepted
time: 292ms
memory: 27668kb

input:

990 918

output:

203469632

result:

ok 1 number(s): "203469632"

Test #40:

score: 0
Accepted
time: 283ms
memory: 27668kb

input:

961 949

output:

169566857

result:

ok 1 number(s): "169566857"

Test #41:

score: 0
Accepted
time: 267ms
memory: 27600kb

input:

946 932

output:

352423195

result:

ok 1 number(s): "352423195"

Test #42:

score: 0
Accepted
time: 262ms
memory: 27668kb

input:

903 981

output:

196309824

result:

ok 1 number(s): "196309824"

Test #43:

score: 0
Accepted
time: 260ms
memory: 27536kb

input:

916 988

output:

487208972

result:

ok 1 number(s): "487208972"

Test #44:

score: 0
Accepted
time: 274ms
memory: 27648kb

input:

982 982

output:

387421488

result:

ok 1 number(s): "387421488"

Test #45:

score: 0
Accepted
time: 285ms
memory: 27588kb

input:

955 911

output:

955637031

result:

ok 1 number(s): "955637031"

Test #46:

score: 0
Accepted
time: 273ms
memory: 27596kb

input:

906 999

output:

798469943

result:

ok 1 number(s): "798469943"

Test #47:

score: 0
Accepted
time: 279ms
memory: 27724kb

input:

982 975

output:

193506289

result:

ok 1 number(s): "193506289"

Test #48:

score: 0
Accepted
time: 278ms
memory: 27628kb

input:

921 991

output:

431202149

result:

ok 1 number(s): "431202149"