結果

問題 No.1397 Analog Graffiti
ユーザー LayCurse
提出日時 2021-02-15 11:24:07
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 44 ms / 10,000 ms
コード長 22,918 bytes
コンパイル時間 2,821 ms
コンパイル使用メモリ 223,068 KB
最終ジャッジ日時 2025-01-18 21:10:04
ジャッジサーバーID
(参考情報)
judge5 / judge2
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 24
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define MD (998244353U)
template<class S, class T> inline S max_L(S a,T b){
return a>=b?a:b;
}
struct Rand{
unsigned x;
unsigned y;
unsigned z;
unsigned w;
Rand(void){
x=123456789;
y=362436069;
z=521288629;
w=(unsigned)time(NULL);
}
Rand(unsigned seed){
x=123456789;
y=362436069;
z=521288629;
w=seed;
}
inline unsigned get(void){
unsigned t;
t = (x^(x<<11));
x=y;
y=z;
z=w;
w = (w^(w>>19))^(t^(t>>8));
return w;
}
inline double getUni(void){
return get()/4294967296.0;
}
inline int get(int a){
return (int)(a*getUni());
}
inline int get(int a, int b){
return a+(int)((b-a+1)*getUni());
}
inline long long get(long long a){
return(long long)(a*getUni());
}
inline long long get(long long a, long long b){
return a+(long long)((b-a+1)*getUni());
}
inline double get(double a, double b){
return a+(b-a)*getUni();
}
inline int getExp(int a){
return(int)(exp(getUni()*log(a+1.0))-1.0);
}
inline int getExp(int a, int b){
return a+(int)(exp(getUni()*log((b-a+1)+1.0))-1.0);
}
}
;
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 T, class S, class U> inline void DigitF_L(T n, int sz, S res[], U b){
int i;
for(i=(0);i<(sz);i++){
res[i] = n % b;
n /= b;
}
}
template<class T, class U> inline T GCD_L(T a, U b){
T r;
while(b){
r=a;
a=b;
b=r%a;
}
return a;
}
#define ROLLING_HASH_MOD (2305843009213693951ULL)
#define ROLLING_HASH_PRIMITIVE_ROOT (3)
#define ROLLING_HASH_MAX_MEMORY (2000000)
int ROLLING_HASH_MEM;
unsigned long long ROLLING_HASH_BASE;
unsigned long long ROLLING_HASH_IBASE;
unsigned long long*ROLLING_HASH_PW = NULL;
unsigned long long*ROLLING_HASH_IPW = NULL;
inline unsigned long long rollingHash61_mul(unsigned long long a, unsigned long long b){
__uint128_t r = (__uint128_t) a * b;
a = (r >> 61) + (r & ROLLING_HASH_MOD);
if(a >= ROLLING_HASH_MOD){
a -= ROLLING_HASH_MOD;
}
return a;
}
inline unsigned long long rollingHash61_pow(unsigned long long a, unsigned long long b){
unsigned long long r = 1;
for(;;){
if(b&1){
r = rollingHash61_mul(r, a);
}
if(b==0){
break;
}
b >>= 1;
a = rollingHash61_mul(a, a);
}
return r;
}
void rollingHashInit(){
int i;
Rand rnd;
unsigned long long x;
for(i=(0);i<(20);i++){
rnd.get(2);
}
do{
x = rnd.get(1.0, (double)(ROLLING_HASH_MOD-2));
}
while(GCD_L(x, ROLLING_HASH_MOD-1)!= 1);
ROLLING_HASH_BASE = rollingHash61_pow(ROLLING_HASH_PRIMITIVE_ROOT, x);
ROLLING_HASH_IBASE = rollingHash61_pow(ROLLING_HASH_BASE, ROLLING_HASH_MOD - 2);
}
void rollingHash_expand(int k){
int i;
if(ROLLING_HASH_MEM >= k){
return;
}
ROLLING_HASH_MEM =max_L(2 * ROLLING_HASH_MEM, k);
assert(ROLLING_HASH_MEM <= 2 * ROLLING_HASH_MAX_MEMORY);
ROLLING_HASH_PW = (unsigned long long*) realloc(ROLLING_HASH_PW, ROLLING_HASH_MEM * sizeof(unsigned long long));
ROLLING_HASH_IPW = (unsigned long long*) realloc(ROLLING_HASH_IPW, ROLLING_HASH_MEM * sizeof(unsigned long long));
ROLLING_HASH_PW[0] = 1;
for(i=(1);i<(ROLLING_HASH_MEM);i++){
ROLLING_HASH_PW[i] = rollingHash61_mul(ROLLING_HASH_PW[i-1], ROLLING_HASH_BASE);
}
ROLLING_HASH_IPW[0] = 1;
for(i=(1);i<(ROLLING_HASH_MEM);i++){
ROLLING_HASH_IPW[i] = rollingHash61_mul(ROLLING_HASH_IPW[i-1], ROLLING_HASH_IBASE);
}
}
struct rollingHash{
long long len;
unsigned long long hs;
template<class T> void set(int N, T A[]){
int i;
long long tmp;
hs = 0;
len = N;
rollingHash_expand(N);
for(i=(0);i<(N);i++){
tmp = A[i] % ((long long)ROLLING_HASH_MOD);
if(tmp < 0){
tmp += ROLLING_HASH_MOD;
}
hs += rollingHash61_mul(tmp, ROLLING_HASH_PW[i]);
if(hs >= ROLLING_HASH_MOD){
hs -= ROLLING_HASH_MOD;
}
}
}
template<class S, class T> void change(long long ind, S bef, T aft){
long long tmp1;
long long tmp2;
tmp1 = bef % ((long long)ROLLING_HASH_MOD);
tmp2 = aft % ((long long)ROLLING_HASH_MOD);
tmp1 = tmp2 - tmp1;
if(tmp1 < 0){
tmp1 += ROLLING_HASH_MOD;
}
if(tmp1 < 0){
tmp1 += ROLLING_HASH_MOD;
}
if(tmp1 >= ROLLING_HASH_MOD){
tmp1 -= ROLLING_HASH_MOD;
}
if(ind+1 <= ROLLING_HASH_MAX_MEMORY || ind+1 >= ROLLING_HASH_MEM){
rollingHash_expand(ind+1);
hs += rollingHash61_mul(tmp1, ROLLING_HASH_PW[ind]);
}
else{
hs += rollingHash61_mul(tmp1, rollingHash61_pow(ROLLING_HASH_BASE, ind));
}
if(hs >= ROLLING_HASH_MOD){
hs -= ROLLING_HASH_MOD;
}
}
void push_front(rollingHash a){
if(a.len + 1 <= ROLLING_HASH_MAX_MEMORY || a.len + 1 >= ROLLING_HASH_MEM){
rollingHash_expand(a.len + 1);
hs = rollingHash61_mul(hs, ROLLING_HASH_PW[a.len]);
}
else{
hs = rollingHash61_mul(hs, rollingHash61_pow(ROLLING_HASH_BASE, a.len));
}
hs += a.hs;
if(hs >= ROLLING_HASH_MOD){
hs -= ROLLING_HASH_MOD;
}
len += a.len;
}
void push_back(rollingHash a){
if(len + 1 <= ROLLING_HASH_MAX_MEMORY || len + 1 >= ROLLING_HASH_MEM){
rollingHash_expand(len + 1);
hs += rollingHash61_mul(a.hs, ROLLING_HASH_PW[len]);
}
else{
hs += rollingHash61_mul(a.hs, rollingHash61_pow(ROLLING_HASH_BASE, len));
}
if(hs >= ROLLING_HASH_MOD){
hs -= ROLLING_HASH_MOD;
}
len += a.len;
}
void pop_front(rollingHash a){
if(hs >= a.hs){
hs -= a.hs;
}
else{
hs = hs + ROLLING_HASH_MOD - a.hs;
}
if(a.len + 1 <= ROLLING_HASH_MAX_MEMORY || a.len + 1 >= ROLLING_HASH_MEM){
rollingHash_expand(a.len + 1);
hs = rollingHash61_mul(hs, ROLLING_HASH_IPW[a.len]);
}
else{
hs = rollingHash61_mul(hs, rollingHash61_pow(ROLLING_HASH_IBASE, a.len));
}
len -= a.len;
}
void pop_back(rollingHash a){
unsigned long long tmp;
if(len + 1 <= ROLLING_HASH_MAX_MEMORY || len + 1 >= ROLLING_HASH_MEM){
rollingHash_expand(len + 1);
tmp = rollingHash61_mul(a.hs, ROLLING_HASH_PW[len]);
}
else{
tmp = rollingHash61_mul(a.hs, rollingHash61_pow(ROLLING_HASH_BASE, len));
}
if(hs >= tmp){
hs -= tmp;
}
else{
hs = hs + ROLLING_HASH_MOD - tmp;
}
len -= a.len;
}
bool operator==(const rollingHash a){
return len == a.len && hs == a.hs;
}
bool operator!=(const rollingHash a){
return len != a.len || hs != a.hs;
}
}
;
template<class T> rollingHash calcRollingHash(int N, T A[]){
rollingHash res;
res.set(N, A);
return res;
}
struct rollingHashSubarrays{
unsigned long long*hs;
int mem;
int len;
void set(){
hs = NULL;
mem = len = 0;
}
void free(){
if(mem){
delete[] hs;
}
}
void expand(int k){
if(mem >= k){
return;
}
free();
mem =max_L(2*mem, k);
hs = new unsigned long long[mem];
}
template<class T> void set(int N, T A[]){
int i;
long long tmp;
if(N <= 0){
return;
}
rollingHash_expand(N);
expand(N);
len = N;
tmp = A[0] % ((long long)ROLLING_HASH_MOD);
if(tmp < 0){
tmp += ROLLING_HASH_MOD;
}
hs[0] = tmp;
for(i=(1);i<(N);i++){
tmp = A[i] % ((long long)ROLLING_HASH_MOD);
if(tmp < 0){
tmp += ROLLING_HASH_MOD;
}
hs[i] = hs[i-1] + rollingHash61_mul(tmp, ROLLING_HASH_PW[i]);
if(hs[i] >= ROLLING_HASH_MOD){
hs[i] -= ROLLING_HASH_MOD;
}
}
}
rollingHash get_len(int s, int len){
unsigned long long x;
rollingHash res;
res.len = len;
rollingHash_expand(s+1);
if(s == 0){
res.hs = hs[len-1];
}
else{
if(hs[s+len-1] >= hs[s-1]){
res.hs = hs[s+len-1] - hs[s-1];
}
else{
res.hs = hs[s+len-1] + ROLLING_HASH_MOD - hs[s-1];
}
res.hs = rollingHash61_mul(res.hs, ROLLING_HASH_IPW[s]);
}
return res;
}
rollingHash get(int a, int b){
return get_len(a, b - a + 1);
}
rollingHashSubarrays(){
set();
}
~rollingHashSubarrays(){
free();
}
}
;
unsigned long long HashMap_ullP_L[4];
template<class KEY, class VAL> struct HashMap{
char*used;
KEY*key;
VAL*val;
int mem;
int n;
int mask;
HashMap(){
mem = 0;
}
~HashMap(){
free();
}
void expand(int nn){
if(mem >= nn){
return;
}
if(mem){
free();
}
mem = nn;
used = new char[nn];
key = new KEY[nn];
val = new VAL[nn];
}
void free(){
if(mem){
mem = 0;
delete[] used;
delete[] key;
delete[] val;
}
}
void init(int nn){
int i;
n = 1;
nn = nn + (nn + 1) / 2;
while(n < nn){
n *= 2;
}
mask = n - 1;
expand(n);
for(i=(0);i<(n);i++){
used[i] = 0;
}
}
inline int getHash(const int a){
unsigned long long d = a;
d = (((d * HashMap_ullP_L[0]) >> 32) * HashMap_ullP_L[1]) & mask;
return d;
}
inline int getHash(const unsigned a){
unsigned long long d = a;
d = (((d * HashMap_ullP_L[0]) >> 32) * HashMap_ullP_L[1]) & mask;
return d;
}
inline int getHash(const long long a){
unsigned long long d = a;
d = (((((d * HashMap_ullP_L[0]) >> 32) * HashMap_ullP_L[1]) >> 32) * HashMap_ullP_L[2]) & mask;
return d;
}
inline int getHash(const unsigned long long a){
unsigned long long d = a;
d = (((((d * HashMap_ullP_L[0]) >> 32) * HashMap_ullP_L[1]) >> 32) * HashMap_ullP_L[2]) & mask;
return d;
}
inline int getHash(const pair<int,int> a){
unsigned long long d = (((unsigned long long)a.first) << 32) + ((unsigned long long)a.second);
d = (((((d * HashMap_ullP_L[0]) >> 32) * HashMap_ullP_L[1]) >> 32) * HashMap_ullP_L[2]) & mask;
return d;
}
inline VAL& operator[](const KEY a){
int k = getHash(a);
for(;;){
if(used[k]==1 && key[k]==a){
break;
}
if(used[k]==0){
used[k] = 1;
key[k] = a;
break;
}
k = (k+1) & mask;
}
return val[k];
}
inline bool exist(const KEY a){
int k = getHash(a);
for(;;){
if(used[k]==1 && key[k]==a){
return true;
}
if(used[k]==0){
break;
}
k = (k+1) & mask;
}
return false;
}
template<class S> inline bool exist(const KEY a, S &res){
int k = getHash(a);
for(;;){
if(used[k]==1 && key[k]==a){
res = val[k];
return true;
}
if(used[k]==0){
break;
}
k = (k+1) & mask;
}
return false;
}
}
;
int X;
int Y;
int N;
HashMap<unsigned long long,int> hs;
int node;
int st[200][6];
int edge[200][200];
Modint dp[57][200];
Modint dn[57][200];
int get_node(int arr[]){
int i;
unsigned long long s;
s = calcRollingHash(Y, arr).hs;
if(hs.exist(s)){
return hs[s];
}
hs[s] = node;
for(i=(0);i<(Y);i++){
st[node][i] = arr[i];
}
return node++;
}
void do_ord(int arr[]){
int i;
int k = 0;
int f;
for(i=(0);i<(Y);i++){
if(arr[i]){
arr[i] += 1000;
}
}
for(i=(0);i<(Y);i++){
if(arr[i] >= 1000){
int j;
k++;
f = arr[i];
for(j=(0);j<(Y);j++){
if(arr[j] == f){
arr[j] = k;
}
}
}
}
}
void chg(int arr[], int f, int t){
int i;
for(i=(0);i<(Y);i++){
if(arr[i]==f){
arr[i] = t;
}
}
}
int main(){
int n;
{
rollingHashInit();
}
{
int i;
int j;
int k;
Rand rnd;
for(i=(0);i<(20);i++){
rnd.get(2);
}
for(i=(0);i<(4);i++){
for(j=(0);j<(32);j++){
k = rnd.get(1,62);
HashMap_ullP_L[i] |= (1ULL << k);
}
HashMap_ullP_L[i] |= (1ULL << 0);
HashMap_ullP_L[i] |= (1ULL << 63);
}
}
int x;
int y;
int z;
int cost;
int arr[6] = {};
int tp[6];
int nx[6];
Modint res = 0;
rd(X);
rd(Y);
rd(N);
if(N%2){
wt_L(0);
wt_L('\n');
return 0;
}
N /= 2;
hs.init(200);
get_node(arr);
for(n=(0);n<(node);n++){
int i, mask;
for(i=(0);i<(Y);i++){
arr[i] = st[n][i];
}
for(mask=(0);mask<(1<<Y);mask++){
DigitF_L(mask, Y, nx, 2);
int APIVbQlN;
int YREPHmFM;
if(Y==0){
YREPHmFM = 0;
}
else{
YREPHmFM = arr[0];
for(APIVbQlN=(1);APIVbQlN<(Y);APIVbQlN++){
YREPHmFM = max_L(YREPHmFM, arr[APIVbQlN]);
}
}
if(mask == 0 &&YREPHmFM!= 1){
continue;
}
for(i=(0);i<(Y-1);i++){
if(arr[i] != 0 && arr[i] != arr[i+1]){
int j;
for(j=(i+1);j<(Y);j++){
if(arr[i] == arr[j]){
int jPV_0s1p;
remove_reference<decltype(nx[jPV_0s1p])>::type BUotOFBp;
int Q5rsz4fz = 0;
if((i) > ((j+1)-1)){
BUotOFBp = 0;
}
else{
for(jPV_0s1p = i; jPV_0s1p <= (j+1)-1; jPV_0s1p++){
if(Q5rsz4fz == 0){
BUotOFBp = nx[jPV_0s1p];
Q5rsz4fz = 1;
continue;
}
BUotOFBp += nx[jPV_0s1p];
}
}
if(BUotOFBp== (j-i+1)){
goto hCmBdyQB;
}
}
}
}
}
for(i=(0);i<(Y);i++){
tp[i] = arr[i];
}
for(i=(0);i<(Y);i++){
if(nx[i]){
nx[i] = Y + i;
}
}
for(i=(0);i<(Y);i++){
if(tp[i] && nx[i]){
{
auto H31bcJ8S = (tp[i]);
auto dtiCQK_a = ( nx[i]);
x = H31bcJ8S;
y = dtiCQK_a;
}
chg(tp, x, y);
chg(nx, x, y);
}
}
for(i=(1);i<(Y);i++){
if(nx[i] && nx[i-1]){
{
auto lQU550vz = (nx[i]);
auto qE8LMwYZ = ( nx[i-1]);
x = lQU550vz;
y = qE8LMwYZ;
}
chg(tp, x, y);
chg(nx, x, y);
}
}
for(i=(0);i<(Y);i++){
if(mask && tp[i]){
int j;
for(j=(0);j<(Y);j++){
if(tp[i] == nx[j]){
goto dKuENJNI;
}
}
goto hCmBdyQB;
}
dKuENJNI:;
}
do_ord(nx);
z = get_node(nx);
cost = 0;
for(i=(0);i<(Y+1);i++){
x = y = 0;
if(i-1 >= 0 && arr[i-1]){
x++;
y |= 1;
}
if(i-1 >= 0 && nx[i-1]){
x++;
y |= 2;
}
if(i < Y && arr[i]){
x++;
y |= 4;
}
if(i < Y && nx[i]){
x++;
y |= 8;
}
if(y == 9 || y == 6){
goto hCmBdyQB;
}
cost += x % 2;
}
edge[n][z] = 1 + cost / 2;
hCmBdyQB:;
}
}
dp[0][0] = 1;
for(n=(0);n<(X+1);n++){
int i;
for(i=(0);i<(N+1);i++){
int j;
for(j=(0);j<(node);j++){
dn[i][j] = 0;
}
}
for(i=(0);i<(N+1);i++){
int j;
for(j=(0);j<(node);j++){
int k;
for(k=(0);k<(node);k++){
if(edge[j][k]){
if(i + edge[j][k] - 1 <= N){
dn[i+edge[j][k]-1][k] += dp[i][j];
}
}
}
}
}
for(i=(0);i<(N+1);i++){
int j;
for(j=(0);j<(node);j++){
dp[i][j] = dn[i][j];
}
}
res += dp[N][0] * (X - n + 1);
for(i=(0);i<(N+1);i++){
dp[i][0] = 0;
}
}
wt_L(res);
wt_L('\n');
return 0;
}
// cLay version 20210103-1 [bug fixed 2]
// --- original code ---
// #define MD 998244353
// int X, Y, N;
//
// HashMap<ull,int> hs;
// int node, st[200][6];
// int edge[200][200];
// Modint dp[57][200], dn[57][200];
//
// int get_node(int arr[]){
// ull s;
// s = calcRollingHash(Y, arr).hs;
// if(hs.exist(s)) return hs[s];
// hs[s] = node;
// rep(i,Y) st[node][i] = arr[i];
// return node++;
// }
//
// void do_ord(int arr[]){
// int k = 0, f;
// rep(i,Y) if(arr[i]) arr[i] += 1000;
// rep(i,Y) if(arr[i] >= 1000){
// k++;
// f = arr[i];
// rep(j,Y) if(arr[j] == f) arr[j] = k;
// }
// }
//
// void chg(int arr[], int f, int t){
// rep(i,Y) if(arr[i]==f) arr[i] = t;
// }
//
// {
// int x, y, z, cost;
// int arr[6] = {}, tp[6], nx[6];
// Modint res = 0;
// rd(X,Y,N);
// if(N%2) wt(0), return 0;
// N /= 2;
//
// hs.init(200);
//
// get_node(arr);
// rep(n,node){
// rep(i,Y) arr[i] = st[n][i];
// rep(mask,1<<Y){
// DigitF(mask, Y, nx, 2);
// if(mask == 0 && max(arr(Y)) != 1) continue;
// rep(i,Y-1) if(arr[i] != 0 && arr[i] != arr[i+1]) rep(j,i+1,Y) if(arr[i] == arr[j]){
// if(sum[k,i,j+1](nx[k]) == (j-i+1)) break_break_continue;
// }
// rep(i,Y) tp[i] = arr[i];
// rep(i,Y) if(nx[i]) nx[i] = Y + i;
// rep(i,Y) if(tp[i] && nx[i]){
// (x, y) = (tp[i], nx[i]);
// chg(tp, x, y); chg(nx, x, y);
// }
// rep(i,1,Y) if(nx[i] && nx[i-1]){
// (x, y) = (nx[i], nx[i-1]);
// chg(tp, x, y); chg(nx, x, y);
// }
// rep(i,Y) if(mask && tp[i]){
// rep(j,Y) if(tp[i] == nx[j]) break_continue;
// break_continue;
// }
// do_ord(nx);
// z = get_node(nx);
// cost = 0;
// rep(i,Y+1){
// x = y = 0;
// if(i-1 >= 0 && arr[i-1]) x++, y |= 1;
// if(i-1 >= 0 && nx[i-1]) x++, y |= 2;
// if(i < Y && arr[i]) x++, y |= 4;
// if(i < Y && nx[i]) x++, y |= 8;
// if(y == 9 || y == 6) break_continue;
// cost += x % 2;
// }
// edge[n][z] = 1 + cost / 2;
// }
// }
//
// dp[0][0] = 1;
// rep(n,X+1){
// rep(i,N+1) rep(j,node) dn[i][j] = 0;
// rep(i,N+1) rep(j,node) rep(k,node) if(edge[j][k]){
// if(i + edge[j][k] - 1 <= N) dn[i+edge[j][k]-1][k] += dp[i][j];
// }
// rep(i,N+1) rep(j,node) dp[i][j] = dn[i][j];
// res += dp[N][0] * (X - n + 1);
// rep(i,N+1) dp[i][0] = 0;
// }
//
// wt(res);
// }
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