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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#253303#6323. Range NEQstd_absAC ✓627ms68740kbC++202.5kb2023-11-16 21:04:522023-11-16 21:04:53

Judging History

你现在查看的是最新测评结果

  • [2023-11-16 21:04:53]
  • 评测
  • 测评结果:AC
  • 用时:627ms
  • 内存:68740kb
  • [2023-11-16 21:04:52]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
#define pb push_back
#define all(a) a.begin(), a.end()
#define sz(a) ((int)a.size())
const int mod = 998244353, N = 1 << 21, G = 3;

ll add(ll a, ll b) {
    a += b;
    if (a >= mod) {
        a -= mod;
    }
    return a;
}

ll sub(ll a, ll b) {
    a -= b;
    if (a < 0) {
        a += mod;
    }
    return a;
}

ll mul(ll a, ll b) {
    return a * b % mod;
}

ll mpow(ll a, ll b) {
    ll ans = 1;
    for (; b; b >>= 1, a = mul(a, a)) {
        if (b & 1) {
            ans = mul(ans, a);
        }
    }
    return ans;
}

struct NTT {
    ll w[N];
    NTT() {
        ll dw = mpow(G, (mod - 1) / N);
        w[0] = 1;
        for (int i = 1; i < N; ++i) {
            w[i] = mul(w[i - 1], dw);
        }
    }
    void operator () (vector <ll> &a, bool inv = false) {
        int x = 0, n = a.size();
        for (int j = 1; j < n - 1; ++j) {
            for (int k = n >> 1; (x ^= k) < k; k >>= 1);
            if (j < x) {
                swap(a[x], a[j]);
            }
        }
        for (int L = 2; L <= n; L <<= 1) {
            int dx = N / L, dl = L >> 1;
            for (int i = 0; i < n; i += L) {
                for (int j = i, x = 0; j < i + dl; ++j, x += dx) {
                    ll tmp = mul(a[j + dl], w[x]);
                    a[j + dl] = sub(a[j], tmp);
                    a[j] = add(a[j], tmp);
                }
            }
        }
        if (inv) {
            reverse(1 + all(a));
            ll invn = mpow(n, mod - 2);
            for (int i = 0; i < n; ++i) a[i] = mul(a[i], invn);
        }
    }
} ntt;

ll fac[N], facp[N];

int main() {
    ios::sync_with_stdio(false), cin.tie(0);
    fac[0] = facp[0] = 1;
    for (int i = 1; i < N; ++i) {
        fac[i] = mul(fac[i - 1], i);
        facp[i] = mpow(fac[i], mod - 2);
    }
    int n, m;
    cin >> n >> m;
    vector <ll> a(N);
    for (int i = 0; i <= m; ++i) {
        a[i] = fac[m] * facp[i] % mod * facp[m - i] % mod * facp[m - i] % mod;
    }
    ntt(a);
    for (int i = 0; i < N; ++i) {
        a[i] = mpow(a[i], n);
    }
    ntt(a, true);
    ll res = 0;
    for (int i = 0; i <= n * m; ++i) {
        if (i & 1) {
            res = sub(res, mul(a[i], fac[n * m - i]));
        } else {
            res = add(res, mul(a[i], fac[n * m - i]));
        }
    }
    res = mul(res, mpow(fac[m], n));
    cout << res << '\n';
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 564ms
memory: 68692kb

input:

2 2

output:

4

result:

ok 1 number(s): "4"

Test #2:

score: 0
Accepted
time: 568ms
memory: 68608kb

input:

5 1

output:

44

result:

ok 1 number(s): "44"

Test #3:

score: 0
Accepted
time: 557ms
memory: 68496kb

input:

167 91

output:

284830080

result:

ok 1 number(s): "284830080"

Test #4:

score: 0
Accepted
time: 561ms
memory: 68644kb

input:

2 1

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 540ms
memory: 68692kb

input:

2 3

output:

36

result:

ok 1 number(s): "36"

Test #6:

score: 0
Accepted
time: 563ms
memory: 68572kb

input:

2 4

output:

576

result:

ok 1 number(s): "576"

Test #7:

score: 0
Accepted
time: 555ms
memory: 68584kb

input:

3 1

output:

2

result:

ok 1 number(s): "2"

Test #8:

score: 0
Accepted
time: 546ms
memory: 68592kb

input:

3 2

output:

80

result:

ok 1 number(s): "80"

Test #9:

score: 0
Accepted
time: 540ms
memory: 68712kb

input:

3 3

output:

12096

result:

ok 1 number(s): "12096"

Test #10:

score: 0
Accepted
time: 549ms
memory: 68616kb

input:

3 4

output:

4783104

result:

ok 1 number(s): "4783104"

Test #11:

score: 0
Accepted
time: 575ms
memory: 68612kb

input:

4 1

output:

9

result:

ok 1 number(s): "9"

Test #12:

score: 0
Accepted
time: 604ms
memory: 68716kb

input:

4 2

output:

4752

result:

ok 1 number(s): "4752"

Test #13:

score: 0
Accepted
time: 565ms
memory: 68644kb

input:

4 3

output:

17927568

result:

ok 1 number(s): "17927568"

Test #14:

score: 0
Accepted
time: 585ms
memory: 68576kb

input:

4 4

output:

776703752

result:

ok 1 number(s): "776703752"

Test #15:

score: 0
Accepted
time: 579ms
memory: 68708kb

input:

5 2

output:

440192

result:

ok 1 number(s): "440192"

Test #16:

score: 0
Accepted
time: 570ms
memory: 68576kb

input:

5 3

output:

189125068

result:

ok 1 number(s): "189125068"

Test #17:

score: 0
Accepted
time: 540ms
memory: 68708kb

input:

5 4

output:

975434093

result:

ok 1 number(s): "975434093"

Test #18:

score: 0
Accepted
time: 616ms
memory: 68568kb

input:

1000 1000

output:

720037464

result:

ok 1 number(s): "720037464"

Test #19:

score: 0
Accepted
time: 592ms
memory: 68572kb

input:

72 42

output:

638177567

result:

ok 1 number(s): "638177567"

Test #20:

score: 0
Accepted
time: 567ms
memory: 68632kb

input:

15 19

output:

663050288

result:

ok 1 number(s): "663050288"

Test #21:

score: 0
Accepted
time: 565ms
memory: 68592kb

input:

68 89

output:

94365047

result:

ok 1 number(s): "94365047"

Test #22:

score: 0
Accepted
time: 568ms
memory: 68712kb

input:

92 37

output:

652605307

result:

ok 1 number(s): "652605307"

Test #23:

score: 0
Accepted
time: 581ms
memory: 68500kb

input:

61 87

output:

498277867

result:

ok 1 number(s): "498277867"

Test #24:

score: 0
Accepted
time: 558ms
memory: 68600kb

input:

81 40

output:

133095344

result:

ok 1 number(s): "133095344"

Test #25:

score: 0
Accepted
time: 562ms
memory: 68616kb

input:

7 91

output:

524164813

result:

ok 1 number(s): "524164813"

Test #26:

score: 0
Accepted
time: 572ms
memory: 68564kb

input:

31 18

output:

361233485

result:

ok 1 number(s): "361233485"

Test #27:

score: 0
Accepted
time: 589ms
memory: 68740kb

input:

74 54

output:

500686087

result:

ok 1 number(s): "500686087"

Test #28:

score: 0
Accepted
time: 574ms
memory: 68648kb

input:

32 2

output:

586504335

result:

ok 1 number(s): "586504335"

Test #29:

score: 0
Accepted
time: 584ms
memory: 68568kb

input:

656 718

output:

346764298

result:

ok 1 number(s): "346764298"

Test #30:

score: 0
Accepted
time: 613ms
memory: 68580kb

input:

254 689

output:

358078813

result:

ok 1 number(s): "358078813"

Test #31:

score: 0
Accepted
time: 597ms
memory: 68616kb

input:

713 674

output:

914437613

result:

ok 1 number(s): "914437613"

Test #32:

score: 0
Accepted
time: 547ms
memory: 68600kb

input:

136 698

output:

56687290

result:

ok 1 number(s): "56687290"

Test #33:

score: 0
Accepted
time: 591ms
memory: 68692kb

input:

369 401

output:

312325811

result:

ok 1 number(s): "312325811"

Test #34:

score: 0
Accepted
time: 569ms
memory: 68572kb

input:

280 204

output:

280012063

result:

ok 1 number(s): "280012063"

Test #35:

score: 0
Accepted
time: 603ms
memory: 68720kb

input:

904 225

output:

162909174

result:

ok 1 number(s): "162909174"

Test #36:

score: 0
Accepted
time: 602ms
memory: 68628kb

input:

855 928

output:

39885159

result:

ok 1 number(s): "39885159"

Test #37:

score: 0
Accepted
time: 624ms
memory: 68580kb

input:

503 365

output:

745115888

result:

ok 1 number(s): "745115888"

Test #38:

score: 0
Accepted
time: 601ms
memory: 68556kb

input:

646 996

output:

610925577

result:

ok 1 number(s): "610925577"

Test #39:

score: 0
Accepted
time: 623ms
memory: 68572kb

input:

990 918

output:

203469632

result:

ok 1 number(s): "203469632"

Test #40:

score: 0
Accepted
time: 600ms
memory: 68556kb

input:

961 949

output:

169566857

result:

ok 1 number(s): "169566857"

Test #41:

score: 0
Accepted
time: 593ms
memory: 68564kb

input:

946 932

output:

352423195

result:

ok 1 number(s): "352423195"

Test #42:

score: 0
Accepted
time: 607ms
memory: 68704kb

input:

903 981

output:

196309824

result:

ok 1 number(s): "196309824"

Test #43:

score: 0
Accepted
time: 627ms
memory: 68616kb

input:

916 988

output:

487208972

result:

ok 1 number(s): "487208972"

Test #44:

score: 0
Accepted
time: 607ms
memory: 68632kb

input:

982 982

output:

387421488

result:

ok 1 number(s): "387421488"

Test #45:

score: 0
Accepted
time: 625ms
memory: 68652kb

input:

955 911

output:

955637031

result:

ok 1 number(s): "955637031"

Test #46:

score: 0
Accepted
time: 587ms
memory: 68508kb

input:

906 999

output:

798469943

result:

ok 1 number(s): "798469943"

Test #47:

score: 0
Accepted
time: 601ms
memory: 68648kb

input:

982 975

output:

193506289

result:

ok 1 number(s): "193506289"

Test #48:

score: 0
Accepted
time: 616ms
memory: 68640kb

input:

921 991

output:

431202149

result:

ok 1 number(s): "431202149"