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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#823239 | #8428. Partition into Teams | yuanruiqi | AC ✓ | 12ms | 17856kb | C++14 | 923b | 2024-12-20 20:46:49 | 2024-12-20 20:46:50 |
Judging History
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
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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"