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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
#167449#6417. Classical Summation ProblemrealIyxiang#AC ✓274ms11348kbC++141.2kb2023-09-07 14:53:402023-09-07 14:53:40

Judging History

你现在查看的是最新测评结果

  • [2023-09-07 14:53:40]
  • 评测
  • 测评结果:AC
  • 用时:274ms
  • 内存:11348kb
  • [2023-09-07 14:53:40]
  • 提交

answer

#include <cstdio>
#include <iostream>
#include <algorithm>
using namespace std;
#define rep(i, l, r) for (int i = l; i <= r; ++i)
const int N = 1e6 + 5;
const int P = 998244353; 
int n, m, ans, fac[N], inv[N]; 

int inc (int a, int b) { return (a += b) >= P ? a - P : a; }
int dec (int a, int b) { return (a -= b) < 0 ? a + P : a; }
int mul (int a, int b) { return 1ll * a * b % P; }
int fpow (int a, int b) { int ans = 1; for ( ; b; a = mul(a, a), b >>= 1) if(b & 1) ans = mul(ans, a); return ans; }
int C (int n, int m) { return mul(fac[n], mul(inv[m], inv[n - m])); }
void init (int n) {
  fac[0] = inv[0] = 1;
  rep(i, 1, n) fac[i] = mul(fac[i - 1], i), inv[i] = fpow(fac[i], P - 2); 
}

int main () {
  ios :: sync_with_stdio(0), cin.tie(0), cout.tie(0); 
  cin >> n >> m, init(m); 
  /*rep(i, 1, n - 1) for (int j = 0; 2 * j < m; ++j)
    ans = inc(ans, mul(C(m, j), mul(fpow(i, j), fpow(n - i, m - j)))); */
  ans = mul(n - 1, fpow(n, m)); 
  if(m % 2 == 0) {
    rep(i, 1, n - 1) ans = dec(ans, mul(C(m, m / 2), mul(fpow(i, m / 2), fpow(n - i, m / 2)))); 
  }
  ans = mul(ans, fpow(2, P - 2)); 
  ans = inc(ans, fpow(n, m));
  cout << ans << '\n';  
  return 0; 
}

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 5576kb

input:

3 2

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 1ms
memory: 5560kb

input:

5 3

output:

375

result:

ok 1 number(s): "375"

Test #3:

score: 0
Accepted
time: 1ms
memory: 5436kb

input:

2 2

output:

5

result:

ok 1 number(s): "5"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5440kb

input:

10 9

output:

508778235

result:

ok 1 number(s): "508778235"

Test #5:

score: 0
Accepted
time: 1ms
memory: 5448kb

input:

69 3

output:

11497815

result:

ok 1 number(s): "11497815"

Test #6:

score: 0
Accepted
time: 1ms
memory: 5412kb

input:

994 515

output:

33689623

result:

ok 1 number(s): "33689623"

Test #7:

score: 0
Accepted
time: 1ms
memory: 5604kb

input:

4476 6182

output:

114894183

result:

ok 1 number(s): "114894183"

Test #8:

score: 0
Accepted
time: 3ms
memory: 5488kb

input:

58957 12755

output:

932388891

result:

ok 1 number(s): "932388891"

Test #9:

score: 0
Accepted
time: 23ms
memory: 5600kb

input:

218138 28238

output:

392861201

result:

ok 1 number(s): "392861201"

Test #10:

score: 0
Accepted
time: 126ms
memory: 9884kb

input:

644125 316810

output:

420621854

result:

ok 1 number(s): "420621854"

Test #11:

score: 0
Accepted
time: 149ms
memory: 9276kb

input:

612914 505428

output:

973686286

result:

ok 1 number(s): "973686286"

Test #12:

score: 0
Accepted
time: 115ms
memory: 10912kb

input:

998216 938963

output:

251335926

result:

ok 1 number(s): "251335926"

Test #13:

score: 0
Accepted
time: 126ms
memory: 11196kb

input:

990516 996933

output:

549551960

result:

ok 1 number(s): "549551960"

Test #14:

score: 0
Accepted
time: 272ms
memory: 11184kb

input:

999019 999012

output:

637189128

result:

ok 1 number(s): "637189128"

Test #15:

score: 0
Accepted
time: 274ms
memory: 11252kb

input:

999928 999950

output:

185229465

result:

ok 1 number(s): "185229465"

Test #16:

score: 0
Accepted
time: 127ms
memory: 11248kb

input:

999999 999999

output:

384164916

result:

ok 1 number(s): "384164916"

Test #17:

score: 0
Accepted
time: 270ms
memory: 11208kb

input:

999999 1000000

output:

696165930

result:

ok 1 number(s): "696165930"

Test #18:

score: 0
Accepted
time: 126ms
memory: 11236kb

input:

1000000 999999

output:

219071706

result:

ok 1 number(s): "219071706"

Test #19:

score: 0
Accepted
time: 269ms
memory: 11236kb

input:

1000000 1000000

output:

128206597

result:

ok 1 number(s): "128206597"

Test #20:

score: 0
Accepted
time: 1ms
memory: 5448kb

input:

2 10

output:

1410

result:

ok 1 number(s): "1410"

Test #21:

score: 0
Accepted
time: 1ms
memory: 5608kb

input:

84 16

output:

297627153

result:

ok 1 number(s): "297627153"

Test #22:

score: 0
Accepted
time: 2ms
memory: 5424kb

input:

643 800

output:

489237163

result:

ok 1 number(s): "489237163"

Test #23:

score: 0
Accepted
time: 2ms
memory: 5424kb

input:

9903 880

output:

595167333

result:

ok 1 number(s): "595167333"

Test #24:

score: 0
Accepted
time: 20ms
memory: 5804kb

input:

97446 89750

output:

410205549

result:

ok 1 number(s): "410205549"

Test #25:

score: 0
Accepted
time: 104ms
memory: 10056kb

input:

186460 646474

output:

32638530

result:

ok 1 number(s): "32638530"

Test #26:

score: 0
Accepted
time: 97ms
memory: 9712kb

input:

508940 244684

output:

598321755

result:

ok 1 number(s): "598321755"

Test #27:

score: 0
Accepted
time: 146ms
memory: 10788kb

input:

583646 557758

output:

858695621

result:

ok 1 number(s): "858695621"

Test #28:

score: 0
Accepted
time: 265ms
memory: 11348kb

input:

969610 992608

output:

256683498

result:

ok 1 number(s): "256683498"

Test #29:

score: 0
Accepted
time: 272ms
memory: 11208kb

input:

995106 996434

output:

411791999

result:

ok 1 number(s): "411791999"

Test #30:

score: 0
Accepted
time: 265ms
memory: 11300kb

input:

999961 999872

output:

61222370

result:

ok 1 number(s): "61222370"

Test #31:

score: 0
Accepted
time: 271ms
memory: 11252kb

input:

999977 999908

output:

831096762

result:

ok 1 number(s): "831096762"

Test #32:

score: 0
Accepted
time: 274ms
memory: 11244kb

input:

999992 999998

output:

562977678

result:

ok 1 number(s): "562977678"

Test #33:

score: 0
Accepted
time: 8ms
memory: 5552kb

input:

1000000 2

output:

118436113

result:

ok 1 number(s): "118436113"

Test #34:

score: 0
Accepted
time: 126ms
memory: 11240kb

input:

2 1000000

output:

298823641

result:

ok 1 number(s): "298823641"