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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#823239#8428. Partition into TeamsyuanruiqiAC ✓12ms17856kbC++14923b2024-12-20 20:46:492024-12-20 20:46:50

Judging History

你现在查看的是最新测评结果

  • [2024-12-20 20:46:50]
  • 评测
  • 测评结果:AC
  • 用时:12ms
  • 内存:17856kb
  • [2024-12-20 20:46:49]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
constexpr int maxn = 1000000 + 10;
i64 mod;
i64 fac[maxn], inv[maxn];
i64 qp(i64 a, i64 b)
{
    i64 c = 1;
    for (; b; b>>=1, a=a*a%mod)
        if (b & 1) c=c*a%mod;
    return c;
}
i64 C(int n, int m)
{
    if (n < m) return 0;
    return fac[n] * inv[m] % mod * inv[n - m] % mod;
}
int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    i64 n;
    cin >> n >> mod;
    fac[0] = 1;
    for (int i=1;i<mod;++i) fac[i] = fac[i - 1] * i % mod;
    inv[mod - 1] = qp(fac[mod - 1], mod - 2);
    for (int i=mod-2;i>=0;--i) inv[i] = inv[i + 1] * (i + 1) % mod;
    i64 ans = 1;
    for (i64 x = n; x; x /= mod)
    {
        i64 s = 0;
        for (int i=0;i+i<=x%mod;++i) s = (s + C(x % mod, i) * C(x % mod - i, i)) % mod;
        ans = ans * s % mod;
    }
    cout << (qp(3, n) - ans + mod) % mod * (mod + 1ll) / 2 % mod << '\n';
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5592kb

input:

5 5

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 1ms
memory: 5596kb

input:

5 7

output:

5

result:

ok 1 number(s): "5"

Test #3:

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

input:

789 97

output:

53

result:

ok 1 number(s): "53"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5592kb

input:

98 23

output:

10

result:

ok 1 number(s): "10"

Test #5:

score: 0
Accepted
time: 1ms
memory: 5660kb

input:

398 7

output:

4

result:

ok 1 number(s): "4"

Test #6:

score: 0
Accepted
time: 1ms
memory: 5592kb

input:

272 31

output:

18

result:

ok 1 number(s): "18"

Test #7:

score: 0
Accepted
time: 1ms
memory: 5660kb

input:

920 199

output:

39

result:

ok 1 number(s): "39"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5680kb

input:

390 5167

output:

1236

result:

ok 1 number(s): "1236"

Test #9:

score: 0
Accepted
time: 1ms
memory: 5852kb

input:

445 24337

output:

4546

result:

ok 1 number(s): "4546"

Test #10:

score: 0
Accepted
time: 7ms
memory: 17856kb

input:

28 586501

output:

269032

result:

ok 1 number(s): "269032"

Test #11:

score: 0
Accepted
time: 1ms
memory: 5664kb

input:

304 5

output:

0

result:

ok 1 number(s): "0"

Test #12:

score: 0
Accepted
time: 1ms
memory: 5660kb

input:

7158 41

output:

16

result:

ok 1 number(s): "16"

Test #13:

score: 0
Accepted
time: 1ms
memory: 5660kb

input:

8487 331

output:

148

result:

ok 1 number(s): "148"

Test #14:

score: 0
Accepted
time: 1ms
memory: 5652kb

input:

501 6763

output:

363

result:

ok 1 number(s): "363"

Test #15:

score: 0
Accepted
time: 2ms
memory: 8120kb

input:

3011 61129

output:

49319

result:

ok 1 number(s): "49319"

Test #16:

score: 0
Accepted
time: 3ms
memory: 10524kb

input:

7266 358159

output:

7643

result:

ok 1 number(s): "7643"

Test #17:

score: 0
Accepted
time: 1ms
memory: 5656kb

input:

360860 7

output:

1

result:

ok 1 number(s): "1"

Test #18:

score: 0
Accepted
time: 1ms
memory: 5668kb

input:

154939 19

output:

8

result:

ok 1 number(s): "8"

Test #19:

score: 0
Accepted
time: 1ms
memory: 5588kb

input:

813268 47

output:

40

result:

ok 1 number(s): "40"

Test #20:

score: 0
Accepted
time: 1ms
memory: 5644kb

input:

965601 1531

output:

1147

result:

ok 1 number(s): "1147"

Test #21:

score: 0
Accepted
time: 0ms
memory: 8372kb

input:

689332 78079

output:

17208

result:

ok 1 number(s): "17208"

Test #22:

score: 0
Accepted
time: 1ms
memory: 5980kb

input:

287719 34369

output:

15373

result:

ok 1 number(s): "15373"

Test #23:

score: 0
Accepted
time: 1ms
memory: 5660kb

input:

439237583 7

output:

6

result:

ok 1 number(s): "6"

Test #24:

score: 0
Accepted
time: 1ms
memory: 5596kb

input:

319142531 79

output:

21

result:

ok 1 number(s): "21"

Test #25:

score: 0
Accepted
time: 0ms
memory: 5664kb

input:

592330255 631

output:

530

result:

ok 1 number(s): "530"

Test #26:

score: 0
Accepted
time: 1ms
memory: 5752kb

input:

164278463 4517

output:

3038

result:

ok 1 number(s): "3038"

Test #27:

score: 0
Accepted
time: 2ms
memory: 8284kb

input:

753671285 65371

output:

22369

result:

ok 1 number(s): "22369"

Test #28:

score: 0
Accepted
time: 7ms
memory: 15204kb

input:

289665297 663127

output:

168503

result:

ok 1 number(s): "168503"

Test #29:

score: 0
Accepted
time: 1ms
memory: 5676kb

input:

350585676619 7

output:

5

result:

ok 1 number(s): "5"

Test #30:

score: 0
Accepted
time: 1ms
memory: 5668kb

input:

4283693890775 31

output:

1

result:

ok 1 number(s): "1"

Test #31:

score: 0
Accepted
time: 1ms
memory: 5596kb

input:

1234727503131 151

output:

67

result:

ok 1 number(s): "67"

Test #32:

score: 0
Accepted
time: 0ms
memory: 5668kb

input:

9399186742989 1327

output:

678

result:

ok 1 number(s): "678"

Test #33:

score: 0
Accepted
time: 0ms
memory: 5664kb

input:

1409645481800 8719

output:

1939

result:

ok 1 number(s): "1939"

Test #34:

score: 0
Accepted
time: 12ms
memory: 14776kb

input:

3782178721166 552859

output:

458256

result:

ok 1 number(s): "458256"

Test #35:

score: 0
Accepted
time: 0ms
memory: 5592kb

input:

827235816874722972 5

output:

2

result:

ok 1 number(s): "2"

Test #36:

score: 0
Accepted
time: 1ms
memory: 5656kb

input:

648249960855836992 61

output:

56

result:

ok 1 number(s): "56"

Test #37:

score: 0
Accepted
time: 1ms
memory: 5684kb

input:

467138518199434341 563

output:

202

result:

ok 1 number(s): "202"

Test #38:

score: 0
Accepted
time: 0ms
memory: 5664kb

input:

616207494477524619 653

output:

95

result:

ok 1 number(s): "95"

Test #39:

score: 0
Accepted
time: 2ms
memory: 5932kb

input:

129689263663821851 34403

output:

30422

result:

ok 1 number(s): "30422"

Test #40:

score: 0
Accepted
time: 11ms
memory: 13104kb

input:

605206340470214709 479971

output:

381982

result:

ok 1 number(s): "381982"