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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 |
---|---|---|---|---|---|---|---|---|---|
#633850 | #9451. Expected Waiting Time | ucup-team4474# | TL | 972ms | 4100kb | C++20 | 2.4kb | 2024-10-12 16:18:34 | 2024-10-12 16:18:36 |
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;
vector<int> b(n * 2 + 1), f(n * 2 + 1);
vector<long long> 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 + B) % p;
a[i] = a[i - 1] + b[i] + 1;
}
vector<int> fac(n * 2 + 1), ifac(n * 2 + 1);
fac[0] = ifac[0] = 1;
for (int i = 1; i <= n * 2; i++)
fac[i] = 1ll * fac[i - 1] * 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;
};
ifac[n * 2] = inv(fac[n * 2]);
for (int i = n * 2 - 1; i >= 1; i--)
ifac[i] = 1ll * ifac[i + 1] * (i + 1) % p;
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) + p - binom(i * 2, i + 1)) % p;
for (int i = 0; i < n; i++)
d[i] = 1ll * c[i] * c[n - i - 1] % p;
for (int i = 1; i < n; i++)
d[i] = (d[i] + d[i - 1]) % p;
for (int i = 1; i < n * 2; i++)
{
int cnt = (2 * n - i - 1) / 2;
f[i] = (f[i] - d[cnt] + p) % p;
}
for (int i = 2; i <= n * 2; i++)
{
int cnt = (i - 2) / 2;
f[i] = (f[i] + d[cnt]) % p;
}
int ans = 0;
for (int i = 1; i <= n * 2; i++)
ans = (ans + 1ll * a[i] % p * f[i] % p) % p;
ans = 1ll * ans * inv(d.back()) % p;
cout << ans << '\n';
}
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 3884kb
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: 972ms
memory: 4100kb
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
Time Limit Exceeded
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:
688317370 -111731908 1263157091 827110887 719114987 492078508 415469596 226745240 492483180 1018549875 659325143 977929696 1115735007 1031990493 1765247558 1360094517 -310356350 268011584 602319434 887965945 510644661 799628227 1090708543 1476703604 558752169 1050819260 -552172049 844160548 74689845...