結果
| 問題 | No.1356 Split Tile2 |
| ユーザー |
 LayCurse
|
| 提出日時 | 2021-01-17 14:54:31 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 1,133 ms / 2,000 ms |
| コード長 | 24,493 bytes |
| コンパイル時間 | 3,174 ms |
| コンパイル使用メモリ | 227,420 KB |
| 実行使用メモリ | 12,132 KB |
| 最終ジャッジ日時 | 2024-11-29 16:41:41 |
| 合計ジャッジ時間 | 11,430 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge2 |
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テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 4 ms
6,820 KB |
| testcase_01 | AC | 10 ms
7,848 KB |
| testcase_02 | AC | 3 ms
6,816 KB |
| testcase_03 | AC | 4 ms
6,856 KB |
| testcase_04 | AC | 4 ms
7,768 KB |
| testcase_05 | AC | 4 ms
6,820 KB |
| testcase_06 | AC | 3 ms
6,820 KB |
| testcase_07 | AC | 4 ms
6,820 KB |
| testcase_08 | AC | 3 ms
6,816 KB |
| testcase_09 | AC | 4 ms
7,920 KB |
| testcase_10 | AC | 4 ms
6,816 KB |
| testcase_11 | AC | 3 ms
6,816 KB |
| testcase_12 | AC | 37 ms
6,852 KB |
| testcase_13 | AC | 68 ms
8,424 KB |
| testcase_14 | AC | 574 ms
12,132 KB |
| testcase_15 | AC | 888 ms
9,964 KB |
| testcase_16 | AC | 254 ms
10,564 KB |
| testcase_17 | AC | 470 ms
9,336 KB |
| testcase_18 | AC | 4 ms
6,852 KB |
| testcase_19 | AC | 482 ms
9,456 KB |
| testcase_20 | AC | 435 ms
10,652 KB |
| testcase_21 | AC | 443 ms
9,080 KB |
| testcase_22 | AC | 44 ms
6,816 KB |
| testcase_23 | AC | 314 ms
9,312 KB |
| testcase_24 | AC | 301 ms
9,456 KB |
| testcase_25 | AC | 160 ms
6,976 KB |
| testcase_26 | AC | 500 ms
9,452 KB |
| testcase_27 | AC | 174 ms
10,160 KB |
| testcase_28 | AC | 385 ms
9,448 KB |
| testcase_29 | AC | 238 ms
9,448 KB |
| testcase_30 | AC | 198 ms
7,108 KB |
| testcase_31 | AC | 19 ms
8,788 KB |
| testcase_32 | AC | 1,133 ms
9,968 KB |
コンパイルメッセージ
In member function 'T Comb<T>::fac(int) [with T = Modint]',
inlined from 'int main()' at main.cpp:1234:18:
main.cpp:364:18: warning: 'c.Comb<Modint>::factri' may be used uninitialized [-Wmaybe-uninitialized]
364 | return factri[k];
| ~~~~~~^
main.cpp: In function 'int main()':
main.cpp:1232:16: note: 'c.Comb<Modint>::factri' was declared here
1232 | Comb<Modint> c;
| ^
ソースコード
#pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define MD (998244353U)
#define MD_PRIMITIVE_ROOT (3U)
#define PI 3.14159265358979323846
void*wmem;
char memarr[96000000];
template<class S, class T> inline S max_L(S a,T b){
return a>=b?a:b;
}
template<class T> inline void walloc1d(T **arr, int x, void **mem = &wmem){
static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};
(*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] );
(*arr)=(T*)(*mem);
(*mem)=((*arr)+x);
}
template<class T> inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){
walloc1d(arr, x2-x1, mem);
(*arr) -= x1;
}
struct Modint{
unsigned val;
Modint(){
val=0;
}
Modint(int a){
val = ord(a);
}
Modint(unsigned a){
val = ord(a);
}
Modint(long long a){
val = ord(a);
}
Modint(unsigned long long a){
val = ord(a);
}
inline unsigned ord(unsigned a){
return a%MD;
}
inline unsigned ord(int a){
a %= (int)MD;
if(a < 0){
a += MD;
}
return a;
}
inline unsigned ord(unsigned long long a){
return a%MD;
}
inline unsigned ord(long long a){
a %= (int)MD;
if(a < 0){
a += MD;
}
return a;
}
inline unsigned get(){
return val;
}
inline Modint &operator+=(Modint a){
val += a.val;
if(val >= MD){
val -= MD;
}
return *this;
}
inline Modint &operator-=(Modint a){
if(val < a.val){
val = val + MD - a.val;
}
else{
val -= a.val;
}
return *this;
}
inline Modint &operator*=(Modint a){
val = ((unsigned long long)val*a.val)%MD;
return *this;
}
inline Modint &operator/=(Modint a){
return *this *= a.inverse();
}
inline Modint operator+(Modint a){
return Modint(*this)+=a;
}
inline Modint operator-(Modint a){
return Modint(*this)-=a;
}
inline Modint operator*(Modint a){
return Modint(*this)*=a;
}
inline Modint operator/(Modint a){
return Modint(*this)/=a;
}
inline Modint operator+(int a){
return Modint(*this)+=Modint(a);
}
inline Modint operator-(int a){
return Modint(*this)-=Modint(a);
}
inline Modint operator*(int a){
return Modint(*this)*=Modint(a);
}
inline Modint operator/(int a){
return Modint(*this)/=Modint(a);
}
inline Modint operator+(long long a){
return Modint(*this)+=Modint(a);
}
inline Modint operator-(long long a){
return Modint(*this)-=Modint(a);
}
inline Modint operator*(long long a){
return Modint(*this)*=Modint(a);
}
inline Modint operator/(long long a){
return Modint(*this)/=Modint(a);
}
inline Modint operator-(void){
Modint res;
if(val){
res.val=MD-val;
}
else{
res.val=0;
}
return res;
}
inline operator bool(void){
return val!=0;
}
inline operator int(void){
return get();
}
inline operator long long(void){
return get();
}
inline Modint inverse(){
int a = val;
int b = MD;
int u = 1;
int v = 0;
int t;
Modint res;
while(b){
t = a / b;
a -= t * b;
swap(a, b);
u -= t * v;
swap(u, v);
}
if(u < 0){
u += MD;
}
res.val = u;
return res;
}
inline Modint pw(unsigned long long b){
Modint a(*this);
Modint res;
res.val = 1;
while(b){
if(b&1){
res *= a;
}
b >>= 1;
a *= a;
}
return res;
}
inline bool operator==(int a){
return ord(a)==val;
}
inline bool operator!=(int a){
return ord(a)!=val;
}
}
;
inline Modint operator+(int a, Modint b){
return Modint(a)+=b;
}
inline Modint operator-(int a, Modint b){
return Modint(a)-=b;
}
inline Modint operator*(int a, Modint b){
return Modint(a)*=b;
}
inline Modint operator/(int a, Modint b){
return Modint(a)/=b;
}
inline Modint operator+(long long a, Modint b){
return Modint(a)+=b;
}
inline Modint operator-(long long a, Modint b){
return Modint(a)-=b;
}
inline Modint operator*(long long a, Modint b){
return Modint(a)*=b;
}
inline Modint operator/(long long a, Modint b){
return Modint(a)/=b;
}
inline int my_getchar_unlocked(){
static char buf[1048576];
static int s = 1048576;
static int e = 1048576;
if(s == e && e == 1048576){
e = fread_unlocked(buf, 1, 1048576, stdin);
s = 0;
}
if(s == e){
return EOF;
}
return buf[s++];
}
inline void rd(int &x){
int k;
int m=0;
x=0;
for(;;){
k = my_getchar_unlocked();
if(k=='-'){
m=1;
break;
}
if('0'<=k&&k<='9'){
x=k-'0';
break;
}
}
for(;;){
k = my_getchar_unlocked();
if(k<'0'||k>'9'){
break;
}
x=x*10+k-'0';
}
if(m){
x=-x;
}
}
struct MY_WRITER{
char buf[1048576];
int s;
int e;
MY_WRITER(){
s = 0;
e = 1048576;
}
~MY_WRITER(){
if(s){
fwrite_unlocked(buf, 1, s, stdout);
}
}
}
;
MY_WRITER MY_WRITER_VAR;
void my_putchar_unlocked(int a){
if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){
fwrite_unlocked(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout);
MY_WRITER_VAR.s = 0;
}
MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a;
}
inline void wt_L(char a){
my_putchar_unlocked(a);
}
inline void wt_L(int x){
int s=0;
int m=0;
char f[10];
if(x<0){
m=1;
x=-x;
}
while(x){
f[s++]=x%10;
x/=10;
}
if(!s){
f[s++]=0;
}
if(m){
my_putchar_unlocked('-');
}
while(s--){
my_putchar_unlocked(f[s]+'0');
}
}
inline void wt_L(Modint x){
int i;
i = (int)x;
wt_L(i);
}
template<class S, class T> inline S chmax(S &a, T b){
if(a<b){
a=b;
}
return a;
}
template<class T> struct Comb{
int mem_fact;
T*factri;
T*ifactri;
int mem_dfact;
T*dfactri;
int mem_pw2;
int mem_pw3;
int mem_pw10;
int mem_rep1;
T*pw2c;
T*pw3c;
T*pw10c;
T*rep1c;
int mem_ipw2;
int mem_ipw3;
int mem_ipw10;
T*ipw2c;
T*ipw3c;
T*ipw10c;
Comb(){
mem_fact = 0;
mem_dfact = 0;
mem_pw2 = mem_pw3 = mem_pw10 = mem_rep1 = 0;
mem_ipw2 = mem_ipw3 = mem_ipw10 = 0;
}
inline void expand_fact(int k){
int i;
if(k <= mem_fact){
return;
}
chmax(k, 2 * mem_fact);
if(mem_fact == 0){
factri = (T*)malloc(k * sizeof(T));
ifactri = (T*)malloc(k * sizeof(T));
factri[0] = 1;
for(i=(1);i<(k);i++){
factri[i] = i * factri[i-1];
}
ifactri[k-1] = 1 / factri[k-1];
for(i=(k-1)-1;i>=(0);i--){
ifactri[i] = (i+1) * ifactri[i+1];
}
}
else{
factri = (T*)realloc(factri, k * sizeof(T));
ifactri = (T*)realloc(ifactri, k * sizeof(T));
for(i=(mem_fact);i<(k);i++){
factri[i] = i * factri[i-1];
}
ifactri[k-1] = 1 / factri[k-1];
for(i=(k-1)-1;i>=(mem_fact);i--){
ifactri[i] = (i+1) * ifactri[i+1];
}
}
mem_fact = k;
}
inline T fac(int k){
if(mem_fact < k+1){
expand_fact(k+1);
}
return factri[k];
}
inline T ifac(int k){
if(mem_fact < k+1){
expand_fact(k+1);
}
return ifactri[k];
}
inline T C(int a, int b){
if(b < 0 || b > a){
return 0;
}
if(mem_fact < a+1){
expand_fact(a+1);
}
return factri[a] * ifactri[b] * ifactri[a-b];
}
inline T P(int a, int b){
if(b < 0 || b > a){
return 0;
}
if(mem_fact < a+1){
expand_fact(a+1);
}
return factri[a] * ifactri[a-b];
}
inline T H(int a, int b){
if(a==0 && b==0){
return 1;
}
if(a <= 0 || b < 0){
return 0;
}
if(mem_fact < a+b){
expand_fact(a+b);
}
return C(a+b-1, b);
}
inline T Multinomial(int sz, int a[]){
int i;
int s = 0;
T res;
for(i=(0);i<(sz);i++){
s += a[i];
}
if(mem_fact < s+1){
expand_fact(s+1);
}
res = factri[s];
for(i=(0);i<(sz);i++){
res *= ifactri[a[i]];
}
return 1;
}
inline T Multinomial(int a){
return 1;
}
inline T Multinomial(int a, int b){
if(mem_fact < a+b+1){
expand_fact(a+b+1);
}
return factri[a+b] * ifactri[a] * ifactri[b];
}
inline T Multinomial(int a, int b, int c){
if(mem_fact < a+b+c+1){
expand_fact(a+b+c+1);
}
return factri[a+b+c] * ifactri[a] * ifactri[b] * ifactri[c];
}
inline T Multinomial(int a, int b, int c, int d){
if(mem_fact < a+b+c+d+1){
expand_fact(a+b+c+d+1);
}
return factri[a+b+c+d] * ifactri[a] * ifactri[b] * ifactri[c] * ifactri[d];
}
inline T Catalan(int n){
if(n < 0){
return 0;
}
if(mem_fact < 2*n+1){
expand_fact(2*n+1);
}
return factri[2*n] * ifactri[n] * ifactri[n+1];
}
inline T C_s(long long a, long long b){
long long i;
T res;
if(b < 0 || b > a){
return 0;
}
if(b > a - b){
b = a - b;
}
res = 1;
for(i=(0);i<(b);i++){
res *= a - i;
res /= i + 1;
}
return res;
}
inline T P_s(long long a, long long b){
long long i;
T res;
if(b < 0 || b > a){
return 0;
}
res = 1;
for(i=(0);i<(b);i++){
res *= a - i;
}
return res;
}
inline T per_s(long long n, long long k){
T d;
int m;
if(n < 0 || k < 0){
return 0;
}
if(n == k && k == 0){
return 1;
}
if(n == 0 || k == 0){
return 0;
}
if(k==1){
return 1;
}
if(k==2){
d = n / 2;
return d;
}
if(k==3){
d = (n-1) / 6;
m = (n-1) % 6;
if(m==0){
return 3 * d * d + d;
}
if(m==1){
return 3 * d * d + 2 * d;
}
if(m==2){
return 3 * d * d + 3 * d + 1;
}
if(m==3){
return 3 * d * d + 4 * d + 1;
}
if(m==4){
return 3 * d * d + 5 * d + 2;
}
if(m==5){
return 3 * d * d + 6 * d + 3;
}
}
assert(0 && "per_s should be k <= 3");
return -1;
}
inline void expand_dfact(int k){
int i;
if(k <= mem_dfact){
return;
}
chmax(k, 3);
chmax(k, 2 * mem_dfact);
if(mem_dfact==0){
dfactri = (T*)malloc(k * sizeof(T));
dfactri[0] = dfactri[1] = 1;
for(i=(2);i<(k);i++){
dfactri[i] = i * dfactri[i-2];
}
}
else{
dfactri = (T*)realloc(dfactri, k * sizeof(T));
for(i=(mem_dfact);i<(k);i++){
dfactri[i] = i * dfactri[i-2];
}
}
mem_dfact = k;
}
inline void expand_pw2(int k){
int i;
if(k <= mem_pw2){
return;
}
chmax(k, 2 * mem_pw2);
if(mem_pw2==0){
pw2c = (T*)malloc(k * sizeof(T));
pw2c[0] = 1;
for(i=(1);i<(k);i++){
pw2c[i] = 2 * pw2c[i-1];
}
}
else{
pw2c = (T*)realloc(pw2c, k * sizeof(T));
for(i=(mem_pw2);i<(k);i++){
pw2c[i] = 2 * pw2c[i-1];
}
}
mem_pw2 = k;
}
inline void expand_ipw2(int k){
int i;
if(k <= mem_ipw2){
return;
}
chmax(k, 2);
chmax(k, 2 * mem_ipw2);
if(mem_ipw2==0){
ipw2c = (T*)malloc(k * sizeof(T));
ipw2c[0] = 1;
ipw2c[1] = ipw2c[0] / 2;
for(i=(1);i<(k);i++){
ipw2c[i] = ipw2c[1] * ipw2c[i-1];
}
}
else{
ipw2c = (T*)realloc(ipw2c, k * sizeof(T));
for(i=(mem_ipw2);i<(k);i++){
ipw2c[i] = ipw2c[1] * ipw2c[i-1];
}
}
mem_ipw2 = k;
}
inline void expand_pw3(int k){
int i;
if(k <= mem_pw3){
return;
}
chmax(k, 2 * mem_pw3);
if(mem_pw3==0){
pw3c = (T*)malloc(k * sizeof(T));
pw3c[0] = 1;
for(i=(1);i<(k);i++){
pw3c[i] = 3 * pw3c[i-1];
}
}
else{
pw3c = (T*)realloc(pw3c, k * sizeof(T));
for(i=(mem_pw3);i<(k);i++){
pw3c[i] = 3 * pw3c[i-1];
}
}
mem_pw3 = k;
}
inline void expand_ipw3(int k){
int i;
if(k <= mem_ipw3){
return;
}
chmax(k, 2);
chmax(k, 2 * mem_ipw3);
if(mem_ipw3==0){
ipw3c = (T*)malloc(k * sizeof(T));
ipw3c[0] = 1;
ipw3c[1] = ipw3c[0] / 3;
for(i=(1);i<(k);i++){
ipw3c[i] = ipw3c[1] * ipw3c[i-1];
}
}
else{
ipw3c = (T*)realloc(ipw3c, k * sizeof(T));
for(i=(mem_ipw3);i<(k);i++){
ipw3c[i] = ipw3c[1] * ipw3c[i-1];
}
}
mem_ipw3 = k;
}
inline void expand_pw10(int k){
int i;
if(k <= mem_pw10){
return;
}
chmax(k, 2 * mem_pw10);
if(mem_pw10==0){
pw10c = (T*)malloc(k * sizeof(T));
pw10c[0] = 1;
for(i=(1);i<(k);i++){
pw10c[i] = 10 * pw10c[i-1];
}
}
else{
pw10c = (T*)realloc(pw10c, k * sizeof(T));
for(i=(mem_pw10);i<(k);i++){
pw10c[i] = 10 * pw10c[i-1];
}
}
mem_pw10 = k;
}
inline void expand_ipw10(int k){
int i;
if(k <= mem_ipw10){
return;
}
chmax(k, 2);
chmax(k, 2 * mem_ipw10);
if(mem_ipw10==0){
ipw10c = (T*)malloc(k * sizeof(T));
ipw10c[0] = 1;
ipw10c[1] = ipw10c[0] / 10;
for(i=(1);i<(k);i++){
ipw10c[i] = ipw10c[1] * ipw10c[i-1];
}
}
else{
ipw10c = (T*)realloc(ipw10c, k * sizeof(T));
for(i=(mem_ipw10);i<(k);i++){
ipw10c[i] = ipw10c[1] * ipw10c[i-1];
}
}
mem_ipw10 = k;
}
inline void expand_rep1(int k){
int i;
if(k <= mem_rep1){
return;
}
chmax(k, 2 * mem_rep1);
if(mem_rep1==0){
rep1c = (T*)malloc(k * sizeof(T));
rep1c[0] = 0;
for(i=(1);i<(k);i++){
rep1c[i] = 10 * rep1c[i-1] + 1;
}
}
else{
rep1c = (T*)realloc(rep1c, k * sizeof(T));
for(i=(mem_rep1);i<(k);i++){
rep1c[i] = 10 * rep1c[i-1] + 1;
}
}
mem_rep1 = k;
}
inline T dfac(int k){
if(k >= 0){
if(mem_dfact < k+1){
expand_dfact(k+1);
}
return dfactri[k];
}
if(k==-1){
return 1;
}
k = - k - 2;
if(k % 4 == 1){
return 1 / (-dfac(k));
}
return 1 / dfac(k);
}
inline T pw2(int k){
if(k >= 0){
if(mem_pw2 < k+1){
expand_pw2(k+1);
}
return pw2c[k];
}
else{
k = -k;
if(mem_ipw2 < k+1){
expand_ipw2(k+1);
}
return ipw2c[k];
}
}
inline T pw3(int k){
if(k >= 0){
if(mem_pw3 < k+1){
expand_pw3(k+1);
}
return pw3c[k];
}
else{
k = -k;
if(mem_ipw3 < k+1){
expand_ipw3(k+1);
}
return ipw3c[k];
}
}
inline T pw10(int k){
if(k >= 0){
if(mem_pw10 < k+1){
expand_pw10(k+1);
}
return pw10c[k];
}
else{
k = -k;
if(mem_ipw10 < k+1){
expand_ipw10(k+1);
}
return ipw10c[k];
}
}
inline T repunit(int k){
if(mem_rep1 < k+1){
expand_rep1(k+1);
}
return rep1c[k];
}
}
;
template<> inline Modint Comb<Modint>::C_s(long long a, long long b){
long long i;
Modint res;
Modint d;
if(b < 0 || b > a){
return 0;
}
if(b > a - b){
b = a - b;
}
res = d = 1;
for(i=(0);i<(b);i++){
res *= a - i;
d *= i + 1;
}
return res / d;
}
struct fft_pnt{
double x;
double y;
fft_pnt(void){
}
fft_pnt(double a, double b){
x = a;
y = b;
}
void set(double a, double b){
x = a;
y = b;
}
fft_pnt& operator+=(fft_pnt a){
x+=a.x;
y+=a.y;
return *this;
}
fft_pnt& operator-=(fft_pnt a){
x-=a.x;
y-=a.y;
return *this;
}
fft_pnt& operator*=(fft_pnt a){
fft_pnt p = *this;
x = p.x*a.x-p.y*a.y;
y = p.x*a.y+p.y*a.x;
return *this;
}
fft_pnt operator+(fft_pnt a){
return fft_pnt(*this) += a;
}
fft_pnt operator-(fft_pnt a){
return fft_pnt(*this) -= a;
}
fft_pnt operator*(fft_pnt a){
return fft_pnt(*this) *= a;
}
}
;
void fft(int n, fft_pnt x[], void *mem = wmem){
int i;
int j;
int n1;
int n2;
int n3;
int step = 1;
double theta = 2*PI / n;
double tmp;
fft_pnt w1;
fft_pnt w2;
fft_pnt w3;
fft_pnt a;
fft_pnt b;
fft_pnt c;
fft_pnt d;
fft_pnt aa;
fft_pnt bb;
fft_pnt cc;
fft_pnt dd;
fft_pnt*y = (fft_pnt*)mem;
while(n > 2){
n1 = n / 4;
n2 = n1 + n1;
n3 = n1 + n2;
for(i=(0);i<(n1);i++){
w1 = fft_pnt(cos(i*theta),-sin(i*theta));
w2 = w1*w1;
w3 = w1*w2;
for(j=(0);j<(step);j++){
a = x[j+step*i];
b = x[j+step*(i+n1)];
c = x[j+step*(i+n2)];
d = x[j+step*(i+n3)];
aa = a + c;
bb = a - c;
cc = b + d;
dd = b - d;
tmp = dd.y;
dd.y = dd.x;
dd.x = -tmp;
y[j+step*(4*i )] = aa + cc;
y[j+step*(4*i+1)] = w1*(bb - dd);
y[j+step*(4*i+2)] = w2*(aa - cc);
y[j+step*(4*i+3)] = w3*(bb + dd);
}
}
n /= 4;
step *= 4;
theta *= 4;
swap(x,y);
}
if(n==2){
for(i=(0);i<(step);i++){
y[i] = x[i] + x[i+step];
y[i+step] = x[i] - x[i+step];
}
n /= 2;
step *= 2;
theta *= 2;
swap(x,y);
}
for(i=(0);i<(step);i++){
y[i] = x[i];
}
}
void fftinv(int n, fft_pnt x[], void *mem = wmem){
int i;
int j;
int n1;
int n2;
int n3;
int step = 1;
double theta = 2*PI / n;
double tmp;
fft_pnt w1;
fft_pnt w2;
fft_pnt w3;
fft_pnt a;
fft_pnt b;
fft_pnt c;
fft_pnt d;
fft_pnt aa;
fft_pnt bb;
fft_pnt cc;
fft_pnt dd;
fft_pnt*y = (fft_pnt*)mem;
while(n > 2){
n1 = n / 4;
n2 = n1 + n1;
n3 = n1 + n2;
for(i=(0);i<(n1);i++){
w1 = fft_pnt(cos(i*theta),sin(i*theta));
w2 = w1*w1;
w3 = w1*w2;
for(j=(0);j<(step);j++){
a = x[j+step*i];
b = x[j+step*(i+n1)];
c = x[j+step*(i+n2)];
d = x[j+step*(i+n3)];
aa = a + c;
bb = a - c;
cc = b + d;
dd = b - d;
tmp = dd.y;
dd.y = dd.x;
dd.x = -tmp;
y[j+step*(4*i )] = aa + cc;
y[j+step*(4*i+1)] = w1*(bb + dd);
y[j+step*(4*i+2)] = w2*(aa - cc);
y[j+step*(4*i+3)] = w3*(bb - dd);
}
}
n /= 4;
step *= 4;
theta *= 4;
swap(x,y);
}
if(n==2){
for(i=(0);i<(step);i++){
y[i] = x[i] + x[i+step];
y[i+step] = x[i] - x[i+step];
}
n /= 2;
step *= 2;
theta *= 2;
swap(x,y);
}
for(i=(0);i<(step);i++){
y[i] = x[i];
}
}
void convolution_L(double A[], int As, double B[], int Bs, double res[], int Rs, void *mem = wmem){
int i;
int n;
int n2;
double mul;
fft_pnt*a;
fft_pnt*b;
n =max_L(As+Bs, Rs);
for(n2=1;n2<n;n2*=2){
;
}
walloc1d(&a, n2, &mem);
walloc1d(&b, n2, &mem);
for(i=(0);i<(As);i++){
a[i].set(A[i], 0);
}
int vzsjNTAU = n2;
for(i=(As);i<(vzsjNTAU);i++){
a[i].set(0,0);
}
for(i=(0);i<(Bs);i++){
b[i].set(B[i], 0);
}
int NjXMiQ70 = n2;
for(i=(Bs);i<(NjXMiQ70);i++){
b[i].set(0,0);
}
fft(n2, a, mem);
fft(n2, b, mem);
for(i=(0);i<(n2);i++){
a[i] *= b[i];
}
fftinv(n2, a, mem);
mul = 1.0 / n2;
for(i=(0);i<(Rs);i++){
res[i] = a[i].x * mul;
}
}
void convolution_L(double A[], int As, double res[], int Rs, void *mem = wmem){
int i;
int n;
int n2;
double mul;
fft_pnt*a;
n =max_L(As+As, Rs);
for(n2=1;n2<n;n2*=2){
;
}
walloc1d(&a, n2, &mem);
for(i=(0);i<(As);i++){
a[i].set(A[i], 0);
}
int aGGOz4Vu = n2;
for(i=(As);i<(aGGOz4Vu);i++){
a[i].set(0,0);
}
fft(n2, a, mem);
for(i=(0);i<(n2);i++){
a[i] *= a[i];
}
fftinv(n2, a, mem);
mul = 1.0 / n2;
for(i=(0);i<(Rs);i++){
res[i] = a[i].x * mul;
}
}
void fft(int n, Modint x[], Modint root = MD_PRIMITIVE_ROOT, void *mem = wmem){
int i;
int j;
int n1;
int n2;
int n3;
int step = 1;
Modint w1;
Modint w2;
Modint w3;
Modint a;
Modint b;
Modint c;
Modint d;
Modint aa;
Modint bb;
Modint cc;
Modint dd;
Modint tmp;
Modint*y;
walloc1d(&y, n, &mem);
tmp = root.pw((MD-1)/4*3);
root = root.pw((MD-1)/n);
while(n > 2){
n1 = n / 4;
n2 = n1 + n1;
n3 = n1 + n2;
w1.val = 1;
for(i=(0);i<(n1);i++){
w2 = w1*w1;
w3 = w1*w2;
for(j=(0);j<(step);j++){
a = x[j+step*i];
b = x[j+step*(i+n1)];
c = x[j+step*(i+n2)];
d = x[j+step*(i+n3)];
aa = a + c;
bb = a - c;
cc = b + d;
dd = (b - d) * tmp;
y[j+step*(4*i )] = aa + cc;
y[j+step*(4*i+1)] = w1*(bb - dd);
y[j+step*(4*i+2)] = w2*(aa - cc);
y[j+step*(4*i+3)] = w3*(bb + dd);
}
w1 *= root;
}
n /= 4;
step *= 4;
root *= root;
root *= root;
swap(x,y);
}
if(n==2){
for(i=(0);i<(step);i++){
y[i] = x[i] + x[i+step];
y[i+step] = x[i] - x[i+step];
}
n /= 2;
step *= 2;
root *= root;
swap(x,y);
}
for(i=(0);i<(step);i++){
y[i] = x[i];
}
}
void fftinv(int n, Modint x[], Modint root = MD_PRIMITIVE_ROOT, void *mem = wmem){
int i;
int j;
int n1;
int n2;
int n3;
int step = 1;
Modint w1;
Modint w2;
Modint w3;
Modint a;
Modint b;
Modint c;
Modint d;
Modint aa;
Modint bb;
Modint cc;
Modint dd;
Modint tmp;
Modint*y;
walloc1d(&y, n, &mem);
root = root.inverse();
tmp = root.pw((MD-1)/4);
root = root.pw((MD-1)/n);
while(n > 2){
n1 = n / 4;
n2 = n1 + n1;
n3 = n1 + n2;
w1.val = 1;
for(i=(0);i<(n1);i++){
w2 = w1*w1;
w3 = w1*w2;
for(j=(0);j<(step);j++){
a = x[j+step*i];
b = x[j+step*(i+n1)];
c = x[j+step*(i+n2)];
d = x[j+step*(i+n3)];
aa = a + c;
bb = a - c;
cc = b + d;
dd = (b - d) * tmp;
y[j+step*(4*i )] = aa + cc;
y[j+step*(4*i+1)] = w1*(bb + dd);
y[j+step*(4*i+2)] = w2*(aa - cc);
y[j+step*(4*i+3)] = w3*(bb - dd);
}
w1 *= root;
}
n /= 4;
step *= 4;
root *= root;
root *= root;
swap(x,y);
}
if(n==2){
for(i=(0);i<(step);i++){
y[i] = x[i] + x[i+step];
y[i+step] = x[i] - x[i+step];
}
n /= 2;
step *= 2;
root *= root;
swap(x,y);
}
for(i=(0);i<(step);i++){
y[i] = x[i];
}
}
void convolution_L(Modint A[], int As, Modint B[], int Bs, Modint res[], int Rs, Modint root = MD_PRIMITIVE_ROOT, void *mem = wmem){
int i;
int n;
int n2;
Modint*a;
Modint*b;
Modint r;
n =max_L(As+Bs, Rs);
for(n2=1;n2<n;n2*=2){
;
}
walloc1d(&a, n2, &mem);
walloc1d(&b, n2, &mem);
for(i=(0);i<(As);i++){
a[i] = A[i];
}
int Ly6DsuN0 = n2;
for(i=(As);i<(Ly6DsuN0);i++){
a[i].val = 0;
}
for(i=(0);i<(Bs);i++){
b[i] = B[i];
}
int oBdsIK_y = n2;
for(i=(Bs);i<(oBdsIK_y);i++){
b[i].val = 0;
}
fft(n2, a, root, mem);
fft(n2, b, root, mem);
for(i=(0);i<(n2);i++){
a[i] *= b[i];
}
fftinv(n2, a, root, mem);
r = Modint(n2).inverse();
for(i=(0);i<(Rs);i++){
res[i] = a[i] * r;
}
}
void convolution_L(Modint A[], int As, Modint res[], int Rs, Modint root = MD_PRIMITIVE_ROOT, void *mem = wmem){
int i;
int n;
int n2;
Modint*a;
Modint r;
n =max_L(2*As, Rs);
for(n2=1;n2<n;n2*=2){
;
}
walloc1d(&a, n2, &mem);
for(i=(0);i<(As);i++){
a[i] = A[i];
}
int ERcv6EzB = n2;
for(i=(As);i<(ERcv6EzB);i++){
a[i].val = 0;
}
fft(n2, a, root, mem);
for(i=(0);i<(n2);i++){
a[i] *= a[i];
}
fftinv(n2, a, root, mem);
r = Modint(n2).inverse();
for(i=(0);i<(Rs);i++){
res[i] = a[i]*r;
}
}
Modint dp[100000+2];
Modint fc[100000+2];
Modint cnv[100000+2];
int main(){
wmem = memarr;
int i;
int j;
int k;
int m = 0;
int N;
rd(N);
Modint res;
Comb<Modint> c;
for(i=(0);i<(N+2);i++){
fc[i] = c.fac(i);
}
dp[1] = 1;
for(k=(2);k<(N+1);k++){
dp[k] -= cnv[k+1];
for(i=(m+1);i<(k);i++){
dp[k] += -c.fac(k-i+1) * dp[i];
}
if(k % 3000 == 0){
m = k;
convolution_L(dp, k+1, fc, N+2, cnv, N+2);
}
}
for(k=(3);k<(N+1);k++){
dp[k] += dp[k-1];
}
wt_L(-dp[N]);
wt_L('\n');
return 0;
}
// cLay version 20210103-1 [bug fixed 1]
// --- original code ---
// #define MD 998244353
// Modint dp[1d5+2], fc[1d5+2], cnv[1d5+2];
//
// {
// int i, j, k, m = 0, @N;
// Modint res;
// Comb<Modint> c;
//
// rep(i,N+2) fc[i] = c.fac(i);
//
// dp[1] = 1;
// rep(k,2,N+1){
// dp[k] -= cnv[k+1];
// rep(i,m+1,k) dp[k] += -c.fac(k-i+1) * dp[i];
// if(k % 3000 == 0){
// m = k;
// convolution(dp, k+1, fc, N+2, cnv, N+2);
// }
// }
//
// rep(k,3,N+1) dp[k] += dp[k-1];
// wt(-dp[N]);
// }