QOJ.ac
QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#634081 | #9451. Expected Waiting Time | ucup-team4474# | WA | 901ms | 58292kb | C++20 | 2.8kb | 2024-10-12 16:40:38 | 2024-10-12 16:40:40 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
bool Memory_begin;
/*
-2 0 0 2
-5 -1 -1 1 1 5
-14 -4 -4 0 0 4 4 14
-42 -14 -14 -4 -4 4 4 14 14 42
-132 -48 -48 -20 -20 0 0 20 20 48 48 132
-429 -165 -165 -81 -81 -25 -25 25 25 81 81 165 165 429
-1430 -572 -572 -308 -308 -140 -140 0 0 140 140 308 308 572 572 1430
*/
bool Memory_end;
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cerr << (&Memory_end - &Memory_begin) / 1048576.0 << "MB" << '\n';
int t;
cin >> t;
while (t--)
{
int n, p, A, B;
cin >> n >> p;
auto add = [&](int &x, int y) -> void
{
x += y;
if (x >= p)
x -= p;
};
auto minus = [&](int &x, int y) -> void
{
x -= y;
if (x < 0)
x += p;
};
vector<int> b(n * 2 + 1), f(n * 2 + 1), a(n * 2 + 1);
cin >> b[0] >> A >> B;
for (int i = 1; i <= n * 2; i++)
{
b[i] = 1ll * A * b[i - 1] % p;
add(b[i], B);
a[i] = a[i - 1];
add(a[i], b[i]);
add(a[i], 1);
}
vector<int> fac(n * 2 + 1), iv(n * 2 + 1), ifac(n * 2 + 1);
fac[0] = ifac[0] = iv[0] = iv[1] = 1;
for (int i = 1; i <= n * 2; i++)
fac[i] = 1ll * fac[i - 1] * i % p;
for (int i = 2; i <= n * 2; i++)
iv[i] = 1ll * (p - p / i) * iv[p % i] % p;
for (int i = 1; i <= n * 2; i++)
ifac[i] = 1ll * ifac[i - 1] * iv[i] % p;
auto inv = [&](int x) -> int
{
int y = p - 2, res = 1;
while (y)
{
if (y & 1)
res = 1ll * res * x % p;
x = 1ll * x * x % p;
y >>= 1;
}
return res;
};
auto binom = [&](int x, int y) -> int
{
return 1ll * fac[x] * ifac[y] % p * ifac[x - y] % p;
};
vector<int> c(n), d(n);
c[0] = 1;
for (int i = 1; i < n; i++)
{
c[i] = binom(i * 2, i);
minus(c[i], binom(i * 2, i + 1));
}
for (int i = 0; i < n; i++)
d[i] = 1ll * c[i] * c[n - i - 1] % p;
for (int i = 1; i < n; i++)
add(d[i], d[i - 1]);
for (int i = 2; i <= n * 2; i++)
{
int cnt = (i - 2) / 2;
f[i] = d[cnt];
}
for (int i = 1; i < n * 2; i++)
{
int cnt = (2 * n - i - 1) / 2;
minus(f[i], d[cnt]);
}
int ans = 0;
for (int i = 1; i <= n * 2; i++)
add(ans, 1ll * a[i] * f[i] % p);
ans = 1ll * ans * inv(d.back()) % p;
cout << ans << '\n';
}
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 4048kb
input:
5 1 1000000007 0 1 0 2 1000000007 0 1 1 2 7 5 2 3 3 31 15 6 24 20 1000000007 0 1 0
output:
1 12 1 21 879705565
result:
ok 5 number(s): "1 12 1 21 879705565"
Test #2:
score: 0
Accepted
time: 798ms
memory: 4316kb
input:
4400 3954 1000000007 0 1 0 1306 1000000007 0 1 0 3774 1000000007 0 1 0 3345 1000000007 0 1 0 891 1000000007 0 1 0 2462 1000000007 0 1 0 237 1000000007 0 1 0 26 1000000007 0 1 0 2510 1000000007 0 1 0 637 1000000007 0 1 0 3250 1000000007 0 1 0 3447 1000000007 0 1 0 1222 1000000007 0 1 0 133 1000000007...
output:
440618338 378292891 979368645 915766295 343598158 80867595 161627927 517387931 396936703 42785642 945720545 764273281 186237656 635777911 164064906 548455037 991964184 468137124 561243246 118562285 856945294 642467240 23673926 808943705 897417615 462422554 656411244 204288121 997894281 244685651 762...
result:
ok 4400 numbers
Test #3:
score: -100
Wrong Answer
time: 901ms
memory: 58292kb
input:
1019 338 1863833207 1820742817 1507924477 1822273457 770 1386304741 1088481071 1216187083 170973217 597 1604266739 620750027 196415899 456280997 105 1008587891 184044403 24836083 926135599 357 1165127407 440925347 1103369747 912263123 82 1639766993 263045351 631010551 1412721139 928 1715915153 25383...
output:
1100516367 68123140 1494358234 827110887 855997219 783947646 -1402766379 -364681073 -1453674410 514785458 370183133 950959997 956081548 1600457155 896728779 -941866968 896720215 -763534802 601695457 738806553 -197404394 -708260866 -1346491572 822422300 558752169 1050819260 537942922 844160548 640416...
result:
wrong answer 1st numbers differ - expected: '1532578211', found: '1100516367'