QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#297625 | #5826. 错排 | chenxinyang2006 | 11 | 280ms | 19952kb | C++14 | 4.9kb | 2024-01-04 20:53:37 | 2024-01-04 20:53:37 |
Judging History
answer
#include <bits/stdc++.h>
#define rep(i,j,k) for(int i=(j);i<=(k);i++)
#define per(i,j,k) for(int i=(j);i>=(k);i--)
#define uint unsigned int
#define ll long long
#define ull unsigned long long
#define db double
#define ldb long double
#define pii pair<int,int>
#define pll pair<ll,ll>
#define mkp make_pair
#define eb emplace_back
#define SZ(S) (int)S.size()
#define mod 998244353
//#define mod 1000000007
#define inf 0x3f3f3f3f
#define linf 0x3f3f3f3f3f3f3f3f
using namespace std;
template <class T>
void chkmax(T &x,T y){
if(x < y) x = y;
}
template <class T>
void chkmin(T &x,T y){
if(x > y) x = y;
}
inline int popcnt(int x){
return __builtin_popcount(x);
}
inline int ctz(int x){
return __builtin_ctz(x);
}
template <int P>
class mod_int
{
using Z = mod_int;
private:
static int mo(int x) { return x < 0 ? x + P : x; }
public:
int x;
int val() const { return x; }
mod_int() : x(0) {}
template <class T>
mod_int(const T &x_) : x(x_ >= 0 && x_ < P ? static_cast<int>(x_) : mo(static_cast<int>(x_ % P))) {}
bool operator==(const Z &rhs) const { return x == rhs.x; }
bool operator!=(const Z &rhs) const { return x != rhs.x; }
Z operator-() const { return Z(x ? P - x : 0); }
Z pow(long long k) const
{
Z res = 1, t = *this;
while (k)
{
if (k & 1)
res *= t;
if (k >>= 1)
t *= t;
}
return res;
}
Z &operator++()
{
x < P - 1 ? ++x : x = 0;
return *this;
}
Z &operator--()
{
x ? --x : x = P - 1;
return *this;
}
Z operator++(int)
{
Z ret = x;
x < P - 1 ? ++x : x = 0;
return ret;
}
Z operator--(int)
{
Z ret = x;
x ? --x : x = P - 1;
return ret;
}
Z inv() const { return pow(P - 2); }
Z &operator+=(const Z &rhs)
{
(x += rhs.x) >= P && (x -= P);
return *this;
}
Z &operator-=(const Z &rhs)
{
(x -= rhs.x) < 0 && (x += P);
return *this;
}
Z operator-()
{
return -x;
}
Z &operator*=(const Z &rhs)
{
x = 1ULL * x * rhs.x % P;
return *this;
}
Z &operator/=(const Z &rhs) { return *this *= rhs.inv(); }
#define setO(T, o) \
friend T operator o(const Z &lhs, const Z &rhs) \
{ \
Z res = lhs; \
return res o## = rhs; \
}
setO(Z, +) setO(Z, -) setO(Z, *) setO(Z, /)
#undef setO
friend istream& operator>>(istream& is, mod_int& x)
{
long long tmp;
is >> tmp;
x = tmp;
return is;
}
friend ostream& operator<<(ostream& os, const mod_int& x)
{
os << x.val();
return os;
}
};
using Z = mod_int<mod>;
Z power(Z p,ll k){
Z ans = 1;
while(k){
if(k % 2 == 1) ans *= p;
p *= p;
k /= 2;
}
return ans;
}
Z fact[1000005],ifac[1000005],inv[1000005];
Z C(int N,int M){
if(N < M || M < 0) return 0;
return fact[N] * ifac[M] * ifac[N - M];
}
void init(int L){
fact[0] = 1;
rep(i,1,L) fact[i] = fact[i - 1] * i;
ifac[L] = 1 / fact[L];
per(i,L - 1,0) ifac[i] = ifac[i + 1] * (i + 1);
rep(i,1,L) inv[i] = ifac[i] * fact[i - 1];
}
int T;
Z result[200005],D[200005];
struct qry{
int p,q,id;
};
const int B = 450,V = 200000;
inline int from(int x){
return (x + B - 1) / B;
}
inline int L(int x){
return x * B - B + 1;
}
vector <qry> Q[4005];
bool cmp(qry _a,qry _b){
return _a.q < _b.q;
}
int n,m;
Z x,y;
void addn(){
x = C(m,n + 2) + (n + 1) * (x + y) - m * x;
swap(x,y);
n++;
}
void subn(){
n--;
y = (y - C(m,n + 2) + (m - n - 1) * x) * inv[n + 1];
swap(x,y);
}
void addm(){
Z temp = (y - m * x - C(m,n + 1)) * inv[n - m];
y = x + y;
x = temp;
m++;
}
int main(){
// freopen("test.in","r",stdin);
scanf("%d",&T);
init(V);
D[0] = 1;D[1] = 0;
rep(i,2,V) D[i] = (i - 1) * (D[i - 1] + D[i - 2]);
rep(i,1,T){
int p,q;
scanf("%d%d",&p,&q);
p -= q;
if(p < q) continue;
Q[from(p)].push_back({p,q,i});
// printf("%d %d\n",p,q);
}
rep(p,1,from(V)){
n = L(p);m = 0;
x = D[n];y = D[n + 1];
sort(Q[p].begin(),Q[p].end(),cmp);
for(qry cur:Q[p]){
while(n < cur.p) addn();
while(n > cur.p) subn();
while(m < cur.q) addm();
// printf("%d %d %d %d\n",n,m,x.val(),y.val());
result[cur.id] = x * fact[cur.p] * ifac[cur.p - cur.q];
}
}
rep(i,1,T) printf("%d\n",result[i].val());
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 1
Accepted
Test #1:
score: 1
Accepted
time: 3ms
memory: 17092kb
input:
0
output:
result:
ok 0 number(s): ""
Subtask #2:
score: 0
Wrong Answer
Test #2:
score: 0
Wrong Answer
time: 3ms
memory: 17132kb
input:
10 8 6 5 1 4 2 6 3 8 1 3 1 6 2 3 1 4 1 6 2
output:
0 44 886271462 576764122 14833 348593655 858799687 348593655 520512566 858799687
result:
wrong answer 3rd numbers differ - expected: '4', found: '886271462'
Subtask #3:
score: 10
Accepted
Test #7:
score: 10
Accepted
time: 43ms
memory: 19876kb
input:
200000 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 0 30 0 31 0 32 0 33 0 34 0 35 0 36 0 37 0 38 0 39 0 40 0 41 0 42 0 43 0 44 0 45 0 46 0 47 0 48 0 49 0 50 0 51 0 52 0 53 0 54 0 55 0 56 0 57 0 58 0 59 0 60 0 61...
output:
0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 294304226 127281753 910981941 600290115 222488424 11814221 224470198 496426549 442513998 751108780 305347938 340640042 530046225 804025262 745550660 910531421 451058030 554564312 221339670 95158970 145512950 954462889 464137465 737039093 31...
result:
ok 200000 numbers
Subtask #4:
score: 0
Wrong Answer
Test #8:
score: 0
Wrong Answer
time: 280ms
memory: 19952kb
input:
200000 4303 1473 1276 72 967 234 3619 984 1316 384 2679 50 4426 1744 3782 1179 4919 4 805 63 3933 158 1574 528 1277 435 3826 915 2739 68 2286 349 3017 527 3036 476 4280 1764 1504 686 4584 917 1379 145 4764 2178 1881 45 4808 1565 3663 165 4730 2209 2258 103 4181 1687 1636 770 4339 1173 2355 777 3201 ...
output:
281204980 593809836 435336225 426051540 722003152 760387370 155806215 190499165 269454160 328353089 529411791 529154639 413680183 982810397 506575116 71517317 177071061 859815955 187993036 286216531 209826009 607877580 655579669 343443251 598343852 91458625 508090668 931149237 48406924 561882086 944...
result:
wrong answer 1st numbers differ - expected: '855518783', found: '281204980'
Subtask #5:
score: 0
Skipped
Dependency #1:
100%
Accepted
Dependency #2:
0%
Subtask #6:
score: 0
Skipped
Dependency #1:
100%
Accepted
Dependency #2:
0%