結果
| 問題 | No.1662 (ox) Alternative |
| ユーザー |
 LayCurse
|
| 提出日時 | 2021-07-22 08:24:37 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
RE
|
| 実行時間 | - |
| コード長 | 22,183 bytes |
| コンパイル時間 | 3,391 ms |
| コンパイル使用メモリ | 235,076 KB |
| 実行使用メモリ | 6,820 KB |
| 最終ジャッジ日時 | 2024-11-21 00:07:23 |
| 合計ジャッジ時間 | 5,174 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge1 |
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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 | RE | - |
| testcase_01 | RE | - |
| testcase_02 | RE | - |
| testcase_03 | RE | - |
ソースコード
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("inline")
#include<bits/stdc++.h>
using namespace std;
#define MD (1000000007U)
void*wmem;
char memarr[96000000];
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++(){
val++;
if(val >= MD){
val -= MD;
}
return *this;
}
inline Modint &operator--(){
if(val == 0){
val = MD - 1;
}
else{
--val;
}
return *this;
}
inline Modint operator++(int a){
Modint res(*this);
val++;
if(val >= MD){
val -= MD;
}
return res;
}
inline Modint operator--(int a){
Modint res(*this);
if(val == 0){
val = MD - 1;
}
else{
--val;
}
return res;
}
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 void my_putchar_unlocked(const int k){
putchar_unlocked(k);
}
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(unsigned x){
int s=0;
char f[10];
while(x){
f[s++]=x%10;
x/=10;
}
if(!s){
f[s++]=0;
}
while(s--){
my_putchar_unlocked(f[s]+'0');
}
}
inline void wt_L(long long x){
int s=0;
int m=0;
char f[20];
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(unsigned long long x){
int s=0;
char f[21];
while(x){
f[s++]=x%10;
x/=10;
}
if(!s){
f[s++]=0;
}
while(s--){
my_putchar_unlocked(f[s]+'0');
}
}
inline void wt_L(Modint x){
int i;
i = (int)x;
wt_L(i);
}
int WRITER_DOUBLE_DIGIT = 15;
inline int writerDigit_double(){
return WRITER_DOUBLE_DIGIT;
}
inline void writerDigit_double(int d){
WRITER_DOUBLE_DIGIT = d;
}
inline void wt_L(double x){
const int d = WRITER_DOUBLE_DIGIT;
int k;
int r;
double v;
if(x!=x || (x==x+1 && x==2*x)){
my_putchar_unlocked('E');
my_putchar_unlocked('r');
my_putchar_unlocked('r');
return;
}
if(x < 0){
my_putchar_unlocked('-');
x = -x;
}
x += 0.5 * pow(0.1, d);
r = 0;
v = 1;
while(x >= 10*v){
v *= 10;
r++;
}
while(r >= 0){
r--;
k = floor(x / v);
if(k >= 10){
k = 9;
}
if(k <= -1){
k = 0;
}
x -= k * v;
v *= 0.1;
my_putchar_unlocked(k + '0');
}
if(d > 0){
my_putchar_unlocked('.');
v = 1;
for(r=(0);r<(d);r++){
v *= 0.1;
k = floor(x / v);
if(k >= 10){
k = 9;
}
if(k <= -1){
k = 0;
}
x -= k * v;
my_putchar_unlocked(k + '0');
}
}
}
inline void wt_L(const char c[]){
int i=0;
for(i=0;c[i]!='\0';i++){
my_putchar_unlocked(c[i]);
}
}
inline void wt_L(string &x){
int i=0;
for(i=0;x[i]!='\0';i++){
my_putchar_unlocked(x[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 res;
}
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 Catalan(int n, int m, int k){
if(k <= 0){
return C(n+m, n);
}
if(n < k || m < k){
return 0;
}
return C(n+m, m) - C(n+m, k-1);
}
inline T Catalan_s(long long n, long long m, long long k){
if(k <= 0){
return C_s(n+m, n);
}
if(n < k || m < k){
return 0;
}
return C_s(n+m, m) - C_s(n+m, k-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 H_s(long long a, long long b){
if(a==0 && b==0){
return 1;
}
if(a <= 0 || b < 0){
return 0;
}
return C_s(a+b-1, b);
}
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;
}
long long llReader(long long mn, long long mx, char nx){
int i;
int fg = 0;
int m = 1;
long long res = 0;
double tmp = 0;
for(;;){
i = getchar();
if(fg==0 && i=='-'){
fg++;
m = -1;
}
else if('0' <= i && i <= '9'){
fg++;
res = 10 * res + i - '0';
tmp = 10 * tmp + i - '0';
}
else{
break;
}
}
assert(tmp / 2 <= res);
assert((m==1 && fg >= 1) || (m==-1 && fg >= 2));
assert(mn <= res && res <= mx);
assert(i == nx);
return res;
}
Comb<Modint> comb;
Modint solve(long long A, long long B, long long C, long long D){
int i;
Modint res = 0;
if(A != B){
return 0;
}
if(A==B && B==D && D==0){
return 1;
}
for(i=(0);i<(A);i++){
res += (i+1) * comb.C(2*A-2-i, A-1-i) / A * comb.H(2*A-i-1, D);
}
res *= comb.H(A+B+D+1,C);
return res;
}
Modint baka(long long A, long long B, long long C, long long D){
int i;
int j;
int k;
int n = 0;
int arr[100];
int sz;
int gen[200];
Modint res = 0;
for(i=(0);i<(A);i++){
arr[n++] = 0;
}
for(i=(0);i<(B);i++){
arr[n++] = 1;
}
for(i=(0);i<(C);i++){
arr[n++] = 2;
}
for(i=(0);i<(D);i++){
arr[n++] = 3;
}
do{
sz = 0;
for(i=(0);i<(n);i++){
if(arr[i]==0){
gen[sz++] = 1;
}
if(arr[i]==1){
gen[sz++] = -1;
}
if(arr[i]==2){
gen[sz++] = 1;
gen[sz++] = -1;
}
if(arr[i]==3){
gen[sz++] = -1;
gen[sz++] = 1;
}
}
k = 0;
for(i=(0);i<(sz);i++){
k += gen[i];
if(k == -1){
goto tU__gIr_;
}
}
if(k==0){
res++;
}
tU__gIr_:;
}
while(next_permutation(arr,arr+n));
return res;
}
Modint solve2(long long A, long long B, long long C, long long D){
Modint res = 0;
if(A != B){
return 0;
}
if(A==B && B==D && D==0){
return 1;
}
return comb.C(2*A+D,A-1) * comb.C(A-1+D,A-1) * comb.H(A+B+D+1,C) / A;
}
int main(){
wmem = memarr;
long long A;
long long B;
long long C;
long long D;
Modint res = 0;
A = llReader(0, 100000, ' ');
B = llReader(0, 100000, ' ');
C = llReader(0, 100000, ' ');
D = llReader(0, 100000, '\n');
assert(A+B+C+D >= 1);
assert(getchar() == EOF);
wt_L(solve2(A,B,C,D));
wt_L('\n');
return 0;
puts("");
for(A=(0);A<(7);A++){
for(B=(0);B<(7);B++){
for(C=(0);C<(7);C++){
for(D=(0);D<(7);D++){
Modint res1;
Modint res2;
res1 = solve(A,B,C,D);
res2 = solve2(A,B,C,D);
wt_L(A);
wt_L(' ');
wt_L(B);
wt_L(' ');
wt_L(C);
wt_L(' ');
wt_L(D);
wt_L(' ');
wt_L(":");
wt_L(' ');
wt_L(res1);
wt_L(' ');
wt_L(res2);
wt_L('\n');
assert(res1==res2);
}
}
}
}
res = solve(A,B,C,D);
wt_L(res);
wt_L('\n');
return 0;
}
// cLay version 20210717-1 [beta]
// --- original code ---
// ll llReader(ll mn, ll mx, char nx){
// int i, fg = 0, m = 1;
// ll res = 0; double tmp = 0;
//
// for(;;){
// i = getchar();
// if(fg==0 && i=='-'){
// fg++;
// m = -1;
// } else if('0' <= i <= '9'){
// fg++;
// res = 10 * res + i - '0';
// tmp = 10 * tmp + i - '0';
// } else {
// break;
// }
// }
// assert(tmp / 2 <= res);
// assert((m==1 && fg >= 1) || (m==-1 && fg >= 2));
// assert(mn <= res <= mx);
// assert(i == nx);
// return res;
// }
//
// Comb<Modint> comb;
// Modint solve(ll A, ll B, ll C, ll D){
// Modint res = 0;
// if(A != B) return 0;
// if(A==B==D==0) return 1;
// rep(i,A) res += (i+1) * comb.C(2*A-2-i, A-1-i) / A * comb.H(2*A-i-1, D);
// res *= comb.H(A+B+D+1,C);
// return res;
// }
//
// Modint baka(ll A, ll B, ll C, ll D){
// int i, j, k, n = 0, arr[100], sz, gen[200];
// Modint res = 0;
// rep(i,A) arr[n++] = 0;
// rep(i,B) arr[n++] = 1;
// rep(i,C) arr[n++] = 2;
// rep(i,D) arr[n++] = 3;
// do{
// sz = 0;
// rep(i,n){
// if(arr[i]==0) gen[sz++] = 1;
// if(arr[i]==1) gen[sz++] = -1;
// if(arr[i]==2) gen[sz++] = 1, gen[sz++] = -1;
// if(arr[i]==3) gen[sz++] = -1, gen[sz++] = 1;
// }
// k = 0;
// rep(i,sz){
// k += gen[i];
// if(k == -1) break_continue;
// }
// if(k==0) res++;
// }while(next_permutation(arr,arr+n));
// return res;
// }
//
// Modint solve2(ll A, ll B, ll C, ll D){
// Modint res = 0;
// if(A != B) return 0;
// if(A==B==D==0) return 1;
// return comb.C(2*A+D,A-1) * comb.C(A-1+D,A-1) * comb.H(A+B+D+1,C) / A;
// }
//
// {
// ll A, B, C, D;
// Modint res = 0;
// A = llReader(0, 1d5, ' ');
// B = llReader(0, 1d5, ' ');
// C = llReader(0, 1d5, ' ');
// D = llReader(0, 1d5, '\n');
// assert(A+B+C+D >= 1);
// assert(getchar() == EOF);
//
// wt(solve2(A,B,C,D));
// return 0;
//
// puts("");
// rep(A,7) rep(B,7) rep(C,7) rep(D,7){
// Modint res1, res2;
// res1 = solve(A,B,C,D);
// res2 = solve2(A,B,C,D);
// wt(A,B,C,D,":",res1,res2);
// assert(res1==res2);
// }
//
//
// res = solve(A,B,C,D);
// wt(res);
// }