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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#519328 | #6333. Festivals in JOI Kingdom 2 | Max_s_xaM | 100 ✓ | 1622ms | 6692kb | C++14 | 3.2kb | 2024-08-14 18:46:57 | 2024-08-14 18:46:57 |
Judging History
answer
#include <iostream>
#include <ctime>
typedef long long ll;
typedef double lf;
typedef __int128 LL;
// #define DEBUG 1
struct IO
{
#define MAXSIZE (1 << 20)
#define isdigit(x) (x >= '0' && x <= '9')
char buf[MAXSIZE], *p1, *p2;
char pbuf[MAXSIZE], *pp;
#if DEBUG
#else
IO() : p1(buf), p2(buf), pp(pbuf) {}
~IO() {fwrite(pbuf, 1, pp - pbuf, stdout);}
#endif
#define gc() (p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, MAXSIZE, stdin), p1 == p2) ? ' ' : *p1++)
#define blank(x) (x == ' ' || x == '\n' || x == '\r' || x == '\t')
template <typename T>
void Read(T &x)
{
#if DEBUG
std::cin >> x;
#else
bool sign = 0; char ch = gc(); x = 0;
for (; !isdigit(ch); ch = gc())
if (ch == '-') sign = 1;
for (; isdigit(ch); ch = gc()) x = x * 10 + (ch ^ 48);
if (sign) x = -x;
#endif
}
void Read(char *s)
{
#if DEBUG
std::cin >> s;
#else
char ch = gc();
for (; blank(ch); ch = gc());
for (; !blank(ch); ch = gc()) *s++ = ch;
*s = 0;
#endif
}
void Read(char &c) {for (c = gc(); blank(c); c = gc());}
void Push(const char &c)
{
#if DEBUG
putchar(c);
#else
if (pp - pbuf == MAXSIZE) fwrite(pbuf, 1, MAXSIZE, stdout), pp = pbuf;
*pp++ = c;
#endif
}
template <typename T>
void Write(T x)
{
if (x < 0) x = -x, Push('-');
static T sta[35];
int top = 0;
do sta[top++] = x % 10, x /= 10; while (x);
while (top) Push(sta[--top] ^ 48);
}
template <typename T>
void Write(T x, char lst) {Write(x), Push(lst);}
} IO;
#define Read(x) IO.Read(x)
#define Write(x, y) IO.Write(x, y)
#define Put(x) IO.Push(x)
using namespace std;
const int MAXN = 4e4 + 10;
int n, mod;
ll fac[MAXN], inv[MAXN];
inline ll Qpow(ll x, ll y) { ll res = 1; while (y) (y & 1) && (res = res * x % mod), x = x * x % mod, y >>= 1; return res; }
LL f[MAXN], g[MAXN];
inline void add(ll &x, ll y) { (x += y) >= mod && (x -= mod); }
int main()
{
// freopen("B.in", "r", stdin);
// freopen("B.out", "w", stdout);
#if DEBUG
#else
ios::sync_with_stdio(0), cin.tie(0);
#endif
Read(n), Read(mod);
fac[0] = fac[1] = inv[0] = inv[1] = 1;
for (int i = 2; i < MAXN; i++) fac[i] = fac[i - 1] * i % mod, inv[i] = (mod - mod / i) * inv[mod % i] % mod;
for (int i = 2; i < MAXN; i++) inv[i] = inv[i - 1] * inv[i] % mod;
f[0] = 0, g[0] = 1;
int m = n << 1; LL tmp;
for (int i = 0; i < n; i++)
{
f[i] %= mod, g[i] %= mod;
for (int k = 1; i + k <= n; k++)
{
int p = m - ((i << 1) + k + 1), q = p - k + 2;
if (k > 1)
{
tmp = fac[p] * inv[q] % mod;
f[i + k] += (f[i] * k + g[i]) * (k - 1) * tmp;
}
tmp = fac[p] * inv[q - 1] % mod;
g[i + k] += (f[i] * k + g[i]) * tmp;
}
}
f[n] %= mod, g[n] %= mod;
cout << (ll)(fac[m] * inv[n] % mod * Qpow(2, mod - 1 - n) % mod - f[n] - g[n] + 2 * mod) % mod << '\n';
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 1ms
memory: 5704kb
input:
1 194903119
output:
0
result:
ok 1 number(s): "0"
Test #2:
score: 5
Accepted
time: 1ms
memory: 5592kb
input:
2 933234047
output:
0
result:
ok 1 number(s): "0"
Test #3:
score: 5
Accepted
time: 1ms
memory: 5920kb
input:
3 277793111
output:
2
result:
ok 1 number(s): "2"
Test #4:
score: 5
Accepted
time: 0ms
memory: 5936kb
input:
4 355321177
output:
28
result:
ok 1 number(s): "28"
Test #5:
score: 5
Accepted
time: 0ms
memory: 5704kb
input:
5 306636893
output:
358
result:
ok 1 number(s): "358"
Subtask #2:
score: 5
Accepted
Dependency #1:
100%
Accepted
Test #6:
score: 5
Accepted
time: 1ms
memory: 5984kb
input:
8 361605653
output:
1236922
result:
ok 1 number(s): "1236922"
Test #7:
score: 5
Accepted
time: 1ms
memory: 5712kb
input:
8 995512643
output:
1236922
result:
ok 1 number(s): "1236922"
Test #8:
score: 5
Accepted
time: 0ms
memory: 5704kb
input:
8 101102801
output:
1236922
result:
ok 1 number(s): "1236922"
Test #9:
score: 5
Accepted
time: 0ms
memory: 4284kb
input:
6 458322727
output:
4894
result:
ok 1 number(s): "4894"
Test #10:
score: 5
Accepted
time: 1ms
memory: 5700kb
input:
7 721691819
output:
73884
result:
ok 1 number(s): "73884"
Test #11:
score: 5
Accepted
time: 1ms
memory: 5880kb
input:
7 370629137
output:
73884
result:
ok 1 number(s): "73884"
Subtask #3:
score: 27
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Test #12:
score: 27
Accepted
time: 1ms
memory: 5712kb
input:
30 779092367
output:
686412377
result:
ok 1 number(s): "686412377"
Test #13:
score: 27
Accepted
time: 1ms
memory: 5696kb
input:
29 963995171
output:
128570082
result:
ok 1 number(s): "128570082"
Test #14:
score: 27
Accepted
time: 0ms
memory: 6500kb
input:
18 666092701
output:
185922458
result:
ok 1 number(s): "185922458"
Test #15:
score: 27
Accepted
time: 1ms
memory: 5632kb
input:
14 671243719
output:
623913899
result:
ok 1 number(s): "623913899"
Subtask #4:
score: 14
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Test #16:
score: 14
Accepted
time: 2ms
memory: 5652kb
input:
300 463478027
output:
89265245
result:
ok 1 number(s): "89265245"
Test #17:
score: 14
Accepted
time: 2ms
memory: 5708kb
input:
296 567610679
output:
406342763
result:
ok 1 number(s): "406342763"
Test #18:
score: 14
Accepted
time: 2ms
memory: 6508kb
input:
297 609090359
output:
128986577
result:
ok 1 number(s): "128986577"
Test #19:
score: 14
Accepted
time: 1ms
memory: 5696kb
input:
48 759569383
output:
635573072
result:
ok 1 number(s): "635573072"
Test #20:
score: 14
Accepted
time: 2ms
memory: 5904kb
input:
99 298873033
output:
285340078
result:
ok 1 number(s): "285340078"
Subtask #5:
score: 36
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Dependency #4:
100%
Accepted
Test #21:
score: 36
Accepted
time: 34ms
memory: 5628kb
input:
3000 752129633
output:
33058561
result:
ok 1 number(s): "33058561"
Test #22:
score: 36
Accepted
time: 38ms
memory: 5800kb
input:
2993 491173567
output:
343277625
result:
ok 1 number(s): "343277625"
Test #23:
score: 36
Accepted
time: 38ms
memory: 5916kb
input:
2993 783095563
output:
776085006
result:
ok 1 number(s): "776085006"
Test #24:
score: 36
Accepted
time: 2ms
memory: 5708kb
input:
327 399783431
output:
163535283
result:
ok 1 number(s): "163535283"
Test #25:
score: 36
Accepted
time: 5ms
memory: 5736kb
input:
1233 857060207
output:
422139845
result:
ok 1 number(s): "422139845"
Test #26:
score: 36
Accepted
time: 7ms
memory: 5648kb
input:
1114 600227447
output:
598509129
result:
ok 1 number(s): "598509129"
Subtask #6:
score: 13
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Dependency #4:
100%
Accepted
Dependency #5:
100%
Accepted
Test #27:
score: 13
Accepted
time: 1622ms
memory: 6488kb
input:
20000 221054167
output:
39809956
result:
ok 1 number(s): "39809956"
Test #28:
score: 13
Accepted
time: 1622ms
memory: 5752kb
input:
19997 823974001
output:
267537750
result:
ok 1 number(s): "267537750"
Test #29:
score: 13
Accepted
time: 1620ms
memory: 6404kb
input:
19991 501689843
output:
16527909
result:
ok 1 number(s): "16527909"
Test #30:
score: 13
Accepted
time: 843ms
memory: 6692kb
input:
14344 925452091
output:
212324779
result:
ok 1 number(s): "212324779"
Test #31:
score: 13
Accepted
time: 154ms
memory: 4364kb
input:
6098 507350869
output:
310480789
result:
ok 1 number(s): "310480789"
Test #32:
score: 13
Accepted
time: 129ms
memory: 4460kb
input:
5564 406069759
output:
105694337
result:
ok 1 number(s): "105694337"
Extra Test:
score: 0
Extra Test Passed