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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#361129#6323. Range NEQDelay_for_five_minutes#AC ✓182ms24024kbC++202.2kb2024-03-22 20:23:052024-03-22 20:23:06

Judging History

你现在查看的是最新测评结果

  • [2024-03-22 20:23:06]
  • 评测
  • 测评结果:AC
  • 用时:182ms
  • 内存:24024kb
  • [2024-03-22 20:23:05]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
int n , m;
const int N = 1 << 20;
const int mod = 998244353;
int re[N];
int w[2][N];
int qpow(int a,int b) {
    int ans = 1;
    while(b) {
        if(b & 1) ans = 1LL * ans * a  %mod;
        a = 1LL * a * a%mod; b>>=1;
    }
    return ans;
}
inline int getre(int n) {
    int len = 1 , bit = 0;
    while(len < n) {len <<= 1;bit++;}
    for(int i = 1;i < len;i++) re[i] = (re[i>>1]>>1)|((i&1)<<(bit-1));
    w[0][0] = w[1][0] = 1;
    w[0][1] = qpow(3 , (mod - 1) / len);
    w[1][1] = qpow(w[0][1] , mod - 2) ;
    for(int o=0;o < 2;o++) for(int i = 2;i < len;i++) {
        w[o][i] = 1LL * w[o][i - 1] * w[o][1] % mod;
    }
    return len;
}
inline void NTT(int *a,int n,int o=0) {
    for(int i = 1;i < n;i++) if(i < re[i]) swap(a[i] , a[re[i]]);
    int R;
    for(int k = 1;k < n;k <<= 1) 
        for(int i = 0,t=k<<1 , st = n/t ; i < n ; i+= t) {
            for(int j = 0, nw = 0 ;j < k ;j++ , nw += st) {
                R = 1LL * a[i + j + k] * w[o][nw] % mod;
                a[i + j + k] = (a[i + j] - R + mod) % mod;
                a[i + j] = (a[i + j] + R) % mod;
            }
        }
    if(o) {
        R = qpow(n , mod - 2);
        for(int i = 0;i < n;i++) a[i] = 1LL * a[i] * R % mod;
    }
}

int t[1000005] , rt[1005];
int C(int a,int b) {
    return 1LL * t[a] * rt[b] % mod * rt[a-b] % mod;
}
int A(int a,int b) {
    return 1LL * t[a] * rt[a - b] % mod;
}
int f[N];
int main() {
    ios::sync_with_stdio(false) ; cin.tie(0) ;
    cin >> n >> m;
    t[0] = rt[0] = 1;
    for(int i = 1;i <= m * n;i++) {
        t[i] = 1LL * t[i - 1] * i % mod;
        if(i <= m) rt[i] = qpow(t[i] , mod - 2);
    }
    int len = getre(n * m + 1) ;
    for(int i = 0;i <= m;i++) {
        f[i] = 1LL * C(m , i) * A(m , i) % mod;
        if(i & 1) f[i] = (mod - f[i]) %mod;
        // printf("%d %d\n",i,f[i]) ;
    }
    // printf("L %d\n",len) ;
    NTT(f , len , 0) ;
    for(int i = 0;i < len;i++) f[i] = qpow(f[i] , n) ;
    NTT(f , len , 1);
    int ans = 0;
    for(int i = 0;i <= n*m;i++) {
        ans = (ans + 1LL * f[i] * t[n*m - i]) %  mod;
        // printf("%d %d\n",i,f[i]) ;
    }
    cout << ans;
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 9820kb

input:

2 2

output:

4

result:

ok 1 number(s): "4"

Test #2:

score: 0
Accepted
time: 1ms
memory: 9760kb

input:

5 1

output:

44

result:

ok 1 number(s): "44"

Test #3:

score: 0
Accepted
time: 0ms
memory: 9892kb

input:

167 91

output:

284830080

result:

ok 1 number(s): "284830080"

Test #4:

score: 0
Accepted
time: 1ms
memory: 9820kb

input:

2 1

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 1ms
memory: 9768kb

input:

2 3

output:

36

result:

ok 1 number(s): "36"

Test #6:

score: 0
Accepted
time: 1ms
memory: 9836kb

input:

2 4

output:

576

result:

ok 1 number(s): "576"

Test #7:

score: 0
Accepted
time: 1ms
memory: 9708kb

input:

3 1

output:

2

result:

ok 1 number(s): "2"

Test #8:

score: 0
Accepted
time: 1ms
memory: 9828kb

input:

3 2

output:

80

result:

ok 1 number(s): "80"

Test #9:

score: 0
Accepted
time: 1ms
memory: 9768kb

input:

3 3

output:

12096

result:

ok 1 number(s): "12096"

Test #10:

score: 0
Accepted
time: 1ms
memory: 9756kb

input:

3 4

output:

4783104

result:

ok 1 number(s): "4783104"

Test #11:

score: 0
Accepted
time: 1ms
memory: 9856kb

input:

4 1

output:

9

result:

ok 1 number(s): "9"

Test #12:

score: 0
Accepted
time: 1ms
memory: 9884kb

input:

4 2

output:

4752

result:

ok 1 number(s): "4752"

Test #13:

score: 0
Accepted
time: 1ms
memory: 9884kb

input:

4 3

output:

17927568

result:

ok 1 number(s): "17927568"

Test #14:

score: 0
Accepted
time: 1ms
memory: 9820kb

input:

4 4

output:

776703752

result:

ok 1 number(s): "776703752"

Test #15:

score: 0
Accepted
time: 1ms
memory: 9764kb

input:

5 2

output:

440192

result:

ok 1 number(s): "440192"

Test #16:

score: 0
Accepted
time: 1ms
memory: 9820kb

input:

5 3

output:

189125068

result:

ok 1 number(s): "189125068"

Test #17:

score: 0
Accepted
time: 1ms
memory: 9840kb

input:

5 4

output:

975434093

result:

ok 1 number(s): "975434093"

Test #18:

score: 0
Accepted
time: 168ms
memory: 23876kb

input:

1000 1000

output:

720037464

result:

ok 1 number(s): "720037464"

Test #19:

score: 0
Accepted
time: 2ms
memory: 9856kb

input:

72 42

output:

638177567

result:

ok 1 number(s): "638177567"

Test #20:

score: 0
Accepted
time: 0ms
memory: 9840kb

input:

15 19

output:

663050288

result:

ok 1 number(s): "663050288"

Test #21:

score: 0
Accepted
time: 2ms
memory: 9884kb

input:

68 89

output:

94365047

result:

ok 1 number(s): "94365047"

Test #22:

score: 0
Accepted
time: 2ms
memory: 18032kb

input:

92 37

output:

652605307

result:

ok 1 number(s): "652605307"

Test #23:

score: 0
Accepted
time: 0ms
memory: 9832kb

input:

61 87

output:

498277867

result:

ok 1 number(s): "498277867"

Test #24:

score: 0
Accepted
time: 1ms
memory: 9852kb

input:

81 40

output:

133095344

result:

ok 1 number(s): "133095344"

Test #25:

score: 0
Accepted
time: 1ms
memory: 9764kb

input:

7 91

output:

524164813

result:

ok 1 number(s): "524164813"

Test #26:

score: 0
Accepted
time: 1ms
memory: 9828kb

input:

31 18

output:

361233485

result:

ok 1 number(s): "361233485"

Test #27:

score: 0
Accepted
time: 1ms
memory: 9820kb

input:

74 54

output:

500686087

result:

ok 1 number(s): "500686087"

Test #28:

score: 0
Accepted
time: 1ms
memory: 9764kb

input:

32 2

output:

586504335

result:

ok 1 number(s): "586504335"

Test #29:

score: 0
Accepted
time: 51ms
memory: 21376kb

input:

656 718

output:

346764298

result:

ok 1 number(s): "346764298"

Test #30:

score: 0
Accepted
time: 29ms
memory: 11872kb

input:

254 689

output:

358078813

result:

ok 1 number(s): "358078813"

Test #31:

score: 0
Accepted
time: 59ms
memory: 18112kb

input:

713 674

output:

914437613

result:

ok 1 number(s): "914437613"

Test #32:

score: 0
Accepted
time: 10ms
memory: 10780kb

input:

136 698

output:

56687290

result:

ok 1 number(s): "56687290"

Test #33:

score: 0
Accepted
time: 30ms
memory: 19192kb

input:

369 401

output:

312325811

result:

ok 1 number(s): "312325811"

Test #34:

score: 0
Accepted
time: 8ms
memory: 10336kb

input:

280 204

output:

280012063

result:

ok 1 number(s): "280012063"

Test #35:

score: 0
Accepted
time: 26ms
memory: 11928kb

input:

904 225

output:

162909174

result:

ok 1 number(s): "162909174"

Test #36:

score: 0
Accepted
time: 179ms
memory: 23980kb

input:

855 928

output:

39885159

result:

ok 1 number(s): "39885159"

Test #37:

score: 0
Accepted
time: 23ms
memory: 17168kb

input:

503 365

output:

745115888

result:

ok 1 number(s): "745115888"

Test #38:

score: 0
Accepted
time: 172ms
memory: 23924kb

input:

646 996

output:

610925577

result:

ok 1 number(s): "610925577"

Test #39:

score: 0
Accepted
time: 182ms
memory: 23980kb

input:

990 918

output:

203469632

result:

ok 1 number(s): "203469632"

Test #40:

score: 0
Accepted
time: 168ms
memory: 23952kb

input:

961 949

output:

169566857

result:

ok 1 number(s): "169566857"

Test #41:

score: 0
Accepted
time: 166ms
memory: 24024kb

input:

946 932

output:

352423195

result:

ok 1 number(s): "352423195"

Test #42:

score: 0
Accepted
time: 173ms
memory: 23904kb

input:

903 981

output:

196309824

result:

ok 1 number(s): "196309824"

Test #43:

score: 0
Accepted
time: 173ms
memory: 23980kb

input:

916 988

output:

487208972

result:

ok 1 number(s): "487208972"

Test #44:

score: 0
Accepted
time: 166ms
memory: 23964kb

input:

982 982

output:

387421488

result:

ok 1 number(s): "387421488"

Test #45:

score: 0
Accepted
time: 178ms
memory: 23960kb

input:

955 911

output:

955637031

result:

ok 1 number(s): "955637031"

Test #46:

score: 0
Accepted
time: 179ms
memory: 24016kb

input:

906 999

output:

798469943

result:

ok 1 number(s): "798469943"

Test #47:

score: 0
Accepted
time: 166ms
memory: 23980kb

input:

982 975

output:

193506289

result:

ok 1 number(s): "193506289"

Test #48:

score: 0
Accepted
time: 173ms
memory: 23976kb

input:

921 991

output:

431202149

result:

ok 1 number(s): "431202149"